TSTP Solution File: LCL897+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL897+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:56:49 EDT 2022
% Result : Theorem 37.17s 37.41s
% Output : CNFRefutation 37.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL897+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 22:09:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 37.17/37.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.17/37.41
% 37.17/37.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.26/37.42 fof(sos_01, axiom, (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C)))).
% 37.26/37.42
% 37.26/37.42 fof(sos_02, axiom, (! [A, B] : add(A, B) = add(B, A))).
% 37.26/37.42
% 37.26/37.42 fof(sos_03, axiom, (! [A] : add(A, 0) = A)).
% 37.26/37.42
% 37.26/37.42 fof(sos_04, axiom, (! [A] : '==>'(A, A) = 0)).
% 37.26/37.42
% 37.26/37.42 fof(sos_05, axiom, (! [A] : '==>'(A, 0) = 0)).
% 37.26/37.42
% 37.26/37.42 fof(sos_06, axiom, (! [A] : '==>'(0, A) = A)).
% 37.26/37.42
% 37.26/37.42 fof(sos_07, axiom,
% 37.26/37.42 (! [A, B, C] : '==>'(add(A, B), C) = '==>'(A, '==>'(B, C)))).
% 37.26/37.42
% 37.26/37.42 fof(sos_08, axiom, (! [A, B] : add(A, '==>'(A, B)) = add(B, '==>'(B, A)))).
% 37.26/37.42
% 37.26/37.42 fof(goals_09, conjecture,
% 37.26/37.42 (add(add(a, '==>'(a, b)), '==>'(add(a, '==>'(a, b)), c)) =
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c)))))).
% 37.26/37.42
% 37.26/37.42 fof(subgoal_0, plain,
% 37.26/37.42 (add(add(a, '==>'(a, b)), '==>'(add(a, '==>'(a, b)), c)) =
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.42 inference(strip, [], [goals_09])).
% 37.26/37.42
% 37.26/37.42 fof(negate_0_0, plain,
% 37.26/37.42 (add(add(a, '==>'(a, b)), '==>'(add(a, '==>'(a, b)), c)) !=
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.42 inference(negate, [], [subgoal_0])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_0, plain,
% 37.26/37.42 (add(add(a, '==>'(a, b)), '==>'(add(a, '==>'(a, b)), c)) !=
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.42 inference(canonicalize, [], [negate_0_0])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_1, plain,
% 37.26/37.42 (! [A, B] : add(A, '==>'(A, B)) = add(B, '==>'(B, A))),
% 37.26/37.42 inference(canonicalize, [], [sos_08])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_2, plain,
% 37.26/37.42 (! [A, B] : add(A, '==>'(A, B)) = add(B, '==>'(B, A))),
% 37.26/37.42 inference(specialize, [], [normalize_0_1])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_3, plain,
% 37.26/37.42 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 37.26/37.42 inference(canonicalize, [], [sos_01])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_4, plain,
% 37.26/37.42 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 37.26/37.42 inference(specialize, [], [normalize_0_3])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_5, plain, (! [A, B] : add(A, B) = add(B, A)),
% 37.26/37.42 inference(canonicalize, [], [sos_02])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_6, plain, (! [A, B] : add(A, B) = add(B, A)),
% 37.26/37.42 inference(specialize, [], [normalize_0_5])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_7, plain,
% 37.26/37.42 (! [A, B, C] : '==>'(add(A, B), C) = '==>'(A, '==>'(B, C))),
% 37.26/37.42 inference(canonicalize, [], [sos_07])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_8, plain,
% 37.26/37.42 (! [A, B, C] : '==>'(add(A, B), C) = '==>'(A, '==>'(B, C))),
% 37.26/37.42 inference(specialize, [], [normalize_0_7])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_9, plain, (! [A] : '==>'(A, A) = 0),
% 37.26/37.42 inference(canonicalize, [], [sos_04])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_10, plain, (! [A] : '==>'(A, A) = 0),
% 37.26/37.42 inference(specialize, [], [normalize_0_9])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_11, plain, (! [A] : '==>'(A, 0) = 0),
% 37.26/37.42 inference(canonicalize, [], [sos_05])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_12, plain, (! [A] : '==>'(A, 0) = 0),
% 37.26/37.42 inference(specialize, [], [normalize_0_11])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_13, plain, (! [A] : add(A, 0) = A),
% 37.26/37.42 inference(canonicalize, [], [sos_03])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_14, plain, (! [A] : add(A, 0) = A),
% 37.26/37.42 inference(specialize, [], [normalize_0_13])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_15, plain, (! [A] : '==>'(0, A) = A),
% 37.26/37.42 inference(canonicalize, [], [sos_06])).
% 37.26/37.42
% 37.26/37.42 fof(normalize_0_16, plain, (! [A] : '==>'(0, A) = A),
% 37.26/37.42 inference(specialize, [], [normalize_0_15])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_0, plain,
% 37.26/37.42 (add(add(a, '==>'(a, b)), '==>'(add(a, '==>'(a, b)), c)) !=
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.42 inference(canonicalize, [], [normalize_0_0])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_1, plain, (add(A, '==>'(A, B)) = add(B, '==>'(B, A))),
% 37.26/37.42 inference(canonicalize, [], [normalize_0_2])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_2, plain, (X = X), introduced(tautology, [refl, [$fot(X)]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_3, plain, (X != X | X != Y | Y = X),
% 37.26/37.42 introduced(tautology, [equality, [$cnf($equal(X, X)), [0], $fot(Y)]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_4, plain, (X != Y | Y = X),
% 37.26/37.42 inference(resolve, [$cnf($equal(X, X))], [refute_0_2, refute_0_3])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_5, plain,
% 37.26/37.42 (add(A, '==>'(A, B)) != add(B, '==>'(B, A)) |
% 37.26/37.42 add(B, '==>'(B, A)) = add(A, '==>'(A, B))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_4 :
% 37.26/37.42 [bind(X, $fot(add(A, '==>'(A, B)))),
% 37.26/37.42 bind(Y, $fot(add(B, '==>'(B, A))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_6, plain, (add(B, '==>'(B, A)) = add(A, '==>'(A, B))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(A, '==>'(A, B)), add(B, '==>'(B, A))))],
% 37.26/37.42 [refute_0_1, refute_0_5])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_7, plain,
% 37.26/37.42 (add(add(a, '==>'(a, b)), '==>'(add(a, '==>'(a, b)), c)) =
% 37.26/37.42 add(c, '==>'(c, add(a, '==>'(a, b))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_6 :
% 37.26/37.42 [bind(A, $fot(c)), bind(B, $fot(add(a, '==>'(a, b))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_8, plain,
% 37.26/37.42 (add(add(a, '==>'(a, b)), '==>'(add(a, '==>'(a, b)), c)) !=
% 37.26/37.42 add(c, '==>'(c, add(a, '==>'(a, b)))) |
% 37.26/37.42 add(c, '==>'(c, add(a, '==>'(a, b)))) !=
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c)))) |
% 37.26/37.42 add(add(a, '==>'(a, b)), '==>'(add(a, '==>'(a, b)), c)) =
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf(~ $equal(add(add(a, '==>'(a, b)),
% 37.26/37.42 '==>'(add(a, '==>'(a, b)), c)),
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c)))))), [0],
% 37.26/37.42 $fot(add(c, '==>'(c, add(a, '==>'(a, b)))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_9, plain,
% 37.26/37.42 (add(c, '==>'(c, add(a, '==>'(a, b)))) !=
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c)))) |
% 37.26/37.42 add(add(a, '==>'(a, b)), '==>'(add(a, '==>'(a, b)), c)) =
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(a, '==>'(a, b)),
% 37.26/37.42 '==>'(add(a, '==>'(a, b)), c)),
% 37.26/37.42 add(c, '==>'(c, add(a, '==>'(a, b))))))],
% 37.26/37.42 [refute_0_7, refute_0_8])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_10, plain,
% 37.26/37.42 (add(c, '==>'(c, add(a, '==>'(a, b)))) !=
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(a, '==>'(a, b)),
% 37.26/37.42 '==>'(add(a, '==>'(a, b)), c)),
% 37.26/37.42 add(a, '==>'(a, add(b, '==>'(b, c))))))],
% 37.26/37.42 [refute_0_9, refute_0_0])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_11, plain, (add(add(A, B), C) = add(A, add(B, C))),
% 37.26/37.42 inference(canonicalize, [], [normalize_0_4])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_12, plain,
% 37.26/37.42 (add(add(X_9, '==>'(X_9, A)), X_11) =
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_11 :
% 37.26/37.42 [bind(A, $fot(X_9)), bind(B, $fot('==>'(X_9, A))),
% 37.26/37.42 bind(C, $fot(X_11))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_13, plain, (add(A, '==>'(A, X_9)) = add(X_9, '==>'(X_9, A))),
% 37.26/37.42 inference(subst, [], [refute_0_1 : [bind(B, $fot(X_9))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_14, plain,
% 37.26/37.42 (add(A, '==>'(A, X_9)) != add(X_9, '==>'(X_9, A)) |
% 37.26/37.42 add(X_9, '==>'(X_9, A)) = add(A, '==>'(A, X_9))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_4 :
% 37.26/37.42 [bind(X, $fot(add(A, '==>'(A, X_9)))),
% 37.26/37.42 bind(Y, $fot(add(X_9, '==>'(X_9, A))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_15, plain, (add(X_9, '==>'(X_9, A)) = add(A, '==>'(A, X_9))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(A, '==>'(A, X_9)),
% 37.26/37.42 add(X_9, '==>'(X_9, A))))],
% 37.26/37.42 [refute_0_13, refute_0_14])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_16, plain,
% 37.26/37.42 (add(X_9, '==>'(X_9, A)) != add(A, '==>'(A, X_9)) |
% 37.26/37.42 add(add(X_9, '==>'(X_9, A)), X_11) !=
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)) |
% 37.26/37.42 add(add(A, '==>'(A, X_9)), X_11) =
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(add(X_9, '==>'(X_9, A)), X_11),
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)))), [0, 0],
% 37.26/37.42 $fot(add(A, '==>'(A, X_9)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_17, plain,
% 37.26/37.42 (add(add(X_9, '==>'(X_9, A)), X_11) !=
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)) |
% 37.26/37.42 add(add(A, '==>'(A, X_9)), X_11) =
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_9, '==>'(X_9, A)),
% 37.26/37.42 add(A, '==>'(A, X_9))))],
% 37.26/37.42 [refute_0_15, refute_0_16])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_18, plain,
% 37.26/37.42 (add(add(A, '==>'(A, X_9)), X_11) =
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(X_9, '==>'(X_9, A)), X_11),
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))))],
% 37.26/37.42 [refute_0_12, refute_0_17])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_19, plain,
% 37.26/37.42 (add(add(A, '==>'(A, X_9)), X_11) = add(A, add('==>'(A, X_9), X_11))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_11 :
% 37.26/37.42 [bind(B, $fot('==>'(A, X_9))), bind(C, $fot(X_11))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_20, plain,
% 37.26/37.42 (add(add(A, '==>'(A, X_9)), X_11) != add(A, add('==>'(A, X_9), X_11)) |
% 37.26/37.42 add(add(A, '==>'(A, X_9)), X_11) !=
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)) |
% 37.26/37.42 add(A, add('==>'(A, X_9), X_11)) =
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(add(A, '==>'(A, X_9)), X_11),
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)))), [0],
% 37.26/37.42 $fot(add(A, add('==>'(A, X_9), X_11)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_21, plain,
% 37.26/37.42 (add(add(A, '==>'(A, X_9)), X_11) !=
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)) |
% 37.26/37.42 add(A, add('==>'(A, X_9), X_11)) =
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(A, '==>'(A, X_9)), X_11),
% 37.26/37.42 add(A, add('==>'(A, X_9), X_11))))],
% 37.26/37.42 [refute_0_19, refute_0_20])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_22, plain,
% 37.26/37.42 (add(A, add('==>'(A, X_9), X_11)) =
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(A, '==>'(A, X_9)), X_11),
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))))],
% 37.26/37.42 [refute_0_18, refute_0_21])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_23, plain, (add(A, B) = add(B, A)),
% 37.26/37.42 inference(canonicalize, [], [normalize_0_6])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_24, plain, (add(A, add(X_9, X_10)) = add(add(X_9, X_10), A)),
% 37.26/37.42 inference(subst, [], [refute_0_23 : [bind(B, $fot(add(X_9, X_10)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_25, plain, (add(add(X_9, X_10), A) = add(X_9, add(X_10, A))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_11 :
% 37.26/37.42 [bind(A, $fot(X_9)), bind(B, $fot(X_10)),
% 37.26/37.42 bind(C, $fot(A))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_26, plain,
% 37.26/37.42 (add(A, add(X_9, X_10)) != add(add(X_9, X_10), A) |
% 37.26/37.42 add(add(X_9, X_10), A) != add(X_9, add(X_10, A)) |
% 37.26/37.42 add(A, add(X_9, X_10)) = add(X_9, add(X_10, A))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf(~ $equal(add(A, add(X_9, X_10)),
% 37.26/37.42 add(X_9, add(X_10, A)))), [0],
% 37.26/37.42 $fot(add(add(X_9, X_10), A))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_27, plain,
% 37.26/37.42 (add(A, add(X_9, X_10)) != add(add(X_9, X_10), A) |
% 37.26/37.42 add(A, add(X_9, X_10)) = add(X_9, add(X_10, A))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(X_9, X_10), A),
% 37.26/37.42 add(X_9, add(X_10, A))))],
% 37.26/37.42 [refute_0_25, refute_0_26])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_28, plain, (add(A, add(X_9, X_10)) = add(X_9, add(X_10, A))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(A, add(X_9, X_10)),
% 37.26/37.42 add(add(X_9, X_10), A)))],
% 37.26/37.42 [refute_0_24, refute_0_27])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_29, plain,
% 37.26/37.42 (add(X_11, add(X_9, '==>'(X_9, A))) =
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_28 :
% 37.26/37.42 [bind(A, $fot(X_11)), bind(X_10, $fot('==>'(X_9, A)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_30, plain,
% 37.26/37.42 (add(X_11, add(X_9, '==>'(X_9, A))) !=
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)) |
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)) =
% 37.26/37.42 add(X_11, add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_4 :
% 37.26/37.42 [bind(X, $fot(add(X_11, add(X_9, '==>'(X_9, A))))),
% 37.26/37.42 bind(Y, $fot(add(X_9, add('==>'(X_9, A), X_11))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_31, plain,
% 37.26/37.42 (add(X_9, add('==>'(X_9, A), X_11)) =
% 37.26/37.42 add(X_11, add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_11, add(X_9, '==>'(X_9, A))),
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))))],
% 37.26/37.42 [refute_0_29, refute_0_30])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_32, plain,
% 37.26/37.42 (add(A, add('==>'(A, X_9), X_11)) !=
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)) |
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)) !=
% 37.26/37.42 add(X_11, add(X_9, '==>'(X_9, A))) |
% 37.26/37.42 add(A, add('==>'(A, X_9), X_11)) =
% 37.26/37.42 add(X_11, add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf(~ $equal(add(A, add('==>'(A, X_9), X_11)),
% 37.26/37.42 add(X_11, add(X_9, '==>'(X_9, A))))), [0],
% 37.26/37.42 $fot(add(X_9, add('==>'(X_9, A), X_11)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_33, plain,
% 37.26/37.42 (add(A, add('==>'(A, X_9), X_11)) !=
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11)) |
% 37.26/37.42 add(A, add('==>'(A, X_9), X_11)) =
% 37.26/37.42 add(X_11, add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_9, add('==>'(X_9, A), X_11)),
% 37.26/37.42 add(X_11, add(X_9, '==>'(X_9, A)))))],
% 37.26/37.42 [refute_0_31, refute_0_32])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_34, plain,
% 37.26/37.42 (add(A, add('==>'(A, X_9), X_11)) =
% 37.26/37.42 add(X_11, add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(A, add('==>'(A, X_9), X_11)),
% 37.26/37.42 add(X_9, add('==>'(X_9, A), X_11))))],
% 37.26/37.42 [refute_0_22, refute_0_33])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_35, plain,
% 37.26/37.42 (add(A, add('==>'(A, X_9), '==>'('==>'(A, X_9), '==>'(A, X_262)))) =
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_34 :
% 37.26/37.42 [bind(X_11,
% 37.26/37.42 $fot('==>'('==>'(A, X_9), '==>'(A, X_262))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_36, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(add(X_9, X_10), '==>'(add(X_9, X_10), A))),
% 37.26/37.42 inference(subst, [], [refute_0_1 : [bind(B, $fot(add(X_9, X_10)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_37, plain,
% 37.26/37.42 (add(add(X_9, X_10), '==>'(add(X_9, X_10), A)) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A)))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_11 :
% 37.26/37.42 [bind(A, $fot(X_9)), bind(B, $fot(X_10)),
% 37.26/37.42 bind(C, $fot('==>'(add(X_9, X_10), A)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_38, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.42 add(add(X_9, X_10), '==>'(add(X_9, X_10), A)) |
% 37.26/37.42 add(add(X_9, X_10), '==>'(add(X_9, X_10), A)) !=
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) |
% 37.26/37.42 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A)))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf(~ $equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))))),
% 37.26/37.42 [0],
% 37.26/37.42 $fot(add(add(X_9, X_10), '==>'(add(X_9, X_10), A)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_39, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.42 add(add(X_9, X_10), '==>'(add(X_9, X_10), A)) |
% 37.26/37.42 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(X_9, X_10), '==>'(add(X_9, X_10), A)),
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A)))))],
% 37.26/37.42 [refute_0_37, refute_0_38])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_40, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.42 add(add(X_9, X_10), '==>'(add(X_9, X_10), A))))],
% 37.26/37.42 [refute_0_36, refute_0_39])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_41, plain, ('==>'(add(A, B), C) = '==>'(A, '==>'(B, C))),
% 37.26/37.42 inference(canonicalize, [], [normalize_0_8])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_42, plain,
% 37.26/37.42 ('==>'(add(X_9, X_10), A) = '==>'(X_9, '==>'(X_10, A))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_41 :
% 37.26/37.42 [bind(A, $fot(X_9)), bind(B, $fot(X_10)),
% 37.26/37.42 bind(C, $fot(A))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_43, plain,
% 37.26/37.42 (add(X_10, '==>'(add(X_9, X_10), A)) =
% 37.26/37.42 add(X_10, '==>'(add(X_9, X_10), A))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [refl, [$fot(add(X_10, '==>'(add(X_9, X_10), A)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_44, plain,
% 37.26/37.42 (add(X_10, '==>'(add(X_9, X_10), A)) !=
% 37.26/37.42 add(X_10, '==>'(add(X_9, X_10), A)) |
% 37.26/37.42 '==>'(add(X_9, X_10), A) != '==>'(X_9, '==>'(X_10, A)) |
% 37.26/37.42 add(X_10, '==>'(add(X_9, X_10), A)) =
% 37.26/37.42 add(X_10, '==>'(X_9, '==>'(X_10, A)))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_10, '==>'(add(X_9, X_10), A)),
% 37.26/37.42 add(X_10, '==>'(add(X_9, X_10), A)))), [1, 1],
% 37.26/37.42 $fot('==>'(X_9, '==>'(X_10, A)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_45, plain,
% 37.26/37.42 ('==>'(add(X_9, X_10), A) != '==>'(X_9, '==>'(X_10, A)) |
% 37.26/37.42 add(X_10, '==>'(add(X_9, X_10), A)) =
% 37.26/37.42 add(X_10, '==>'(X_9, '==>'(X_10, A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_10, '==>'(add(X_9, X_10), A)),
% 37.26/37.42 add(X_10, '==>'(add(X_9, X_10), A))))],
% 37.26/37.42 [refute_0_43, refute_0_44])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_46, plain,
% 37.26/37.42 (add(X_10, '==>'(add(X_9, X_10), A)) =
% 37.26/37.42 add(X_10, '==>'(X_9, '==>'(X_10, A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal('==>'(add(X_9, X_10), A),
% 37.26/37.42 '==>'(X_9, '==>'(X_10, A))))],
% 37.26/37.42 [refute_0_42, refute_0_45])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_47, plain,
% 37.26/37.42 (add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A)))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [refl,
% 37.26/37.42 [$fot(add(X_9, add(X_10, '==>'(add(X_9, X_10), A))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_48, plain,
% 37.26/37.42 (add(X_10, '==>'(add(X_9, X_10), A)) !=
% 37.26/37.42 add(X_10, '==>'(X_9, '==>'(X_10, A))) |
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) !=
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) |
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_9, add(X_10, '==>'(add(X_9, X_10), A))),
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))))),
% 37.26/37.42 [1, 1], $fot(add(X_10, '==>'(X_9, '==>'(X_10, A))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_49, plain,
% 37.26/37.42 (add(X_10, '==>'(add(X_9, X_10), A)) !=
% 37.26/37.42 add(X_10, '==>'(X_9, '==>'(X_10, A))) |
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_9, add(X_10, '==>'(add(X_9, X_10), A))),
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A)))))],
% 37.26/37.42 [refute_0_47, refute_0_48])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_50, plain,
% 37.26/37.42 (add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_10, '==>'(add(X_9, X_10), A)),
% 37.26/37.42 add(X_10, '==>'(X_9, '==>'(X_10, A)))))],
% 37.26/37.42 [refute_0_46, refute_0_49])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_51, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) |
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) !=
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))) |
% 37.26/37.42 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf(~ $equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))))),
% 37.26/37.42 [0],
% 37.26/37.42 $fot(add(X_9, add(X_10, '==>'(add(X_9, X_10), A))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_52, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A))) |
% 37.26/37.42 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_9, add(X_10, '==>'(add(X_9, X_10), A))),
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A))))))],
% 37.26/37.42 [refute_0_50, refute_0_51])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_53, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.42 add(X_9, add(X_10, '==>'(add(X_9, X_10), A)))))],
% 37.26/37.42 [refute_0_40, refute_0_52])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_54, plain,
% 37.26/37.42 (add(add(X_9, X_10), X_11) = add(X_9, add(X_10, X_11))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_11 :
% 37.26/37.42 [bind(A, $fot(X_9)), bind(B, $fot(X_10)),
% 37.26/37.42 bind(C, $fot(X_11))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_55, plain, (add(X_10, X_9) = add(X_9, X_10)),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_23 : [bind(A, $fot(X_10)), bind(B, $fot(X_9))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_56, plain,
% 37.26/37.42 (add(X_10, X_9) != add(X_9, X_10) | add(X_9, X_10) = add(X_10, X_9)),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_4 :
% 37.26/37.42 [bind(X, $fot(add(X_10, X_9))),
% 37.26/37.42 bind(Y, $fot(add(X_9, X_10)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_57, plain, (add(X_9, X_10) = add(X_10, X_9)),
% 37.26/37.42 inference(resolve, [$cnf($equal(add(X_10, X_9), add(X_9, X_10)))],
% 37.26/37.42 [refute_0_55, refute_0_56])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_58, plain,
% 37.26/37.42 (add(X_9, X_10) != add(X_10, X_9) |
% 37.26/37.42 add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 37.26/37.42 add(add(X_10, X_9), X_11) = add(X_9, add(X_10, X_11))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(add(X_9, X_10), X_11),
% 37.26/37.42 add(X_9, add(X_10, X_11)))), [0, 0],
% 37.26/37.42 $fot(add(X_10, X_9))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_59, plain,
% 37.26/37.42 (add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 37.26/37.42 add(add(X_10, X_9), X_11) = add(X_9, add(X_10, X_11))),
% 37.26/37.42 inference(resolve, [$cnf($equal(add(X_9, X_10), add(X_10, X_9)))],
% 37.26/37.42 [refute_0_57, refute_0_58])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_60, plain,
% 37.26/37.42 (add(add(X_10, X_9), X_11) = add(X_9, add(X_10, X_11))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(X_9, X_10), X_11),
% 37.26/37.42 add(X_9, add(X_10, X_11))))],
% 37.26/37.42 [refute_0_54, refute_0_59])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_61, plain,
% 37.26/37.42 (add(add(X_10, X_9), X_11) = add(X_10, add(X_9, X_11))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_11 :
% 37.26/37.42 [bind(A, $fot(X_10)), bind(B, $fot(X_9)),
% 37.26/37.42 bind(C, $fot(X_11))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_62, plain,
% 37.26/37.42 (add(add(X_10, X_9), X_11) != add(X_10, add(X_9, X_11)) |
% 37.26/37.42 add(add(X_10, X_9), X_11) != add(X_9, add(X_10, X_11)) |
% 37.26/37.42 add(X_10, add(X_9, X_11)) = add(X_9, add(X_10, X_11))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(add(X_10, X_9), X_11),
% 37.26/37.42 add(X_9, add(X_10, X_11)))), [0],
% 37.26/37.42 $fot(add(X_10, add(X_9, X_11)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_63, plain,
% 37.26/37.42 (add(add(X_10, X_9), X_11) != add(X_9, add(X_10, X_11)) |
% 37.26/37.42 add(X_10, add(X_9, X_11)) = add(X_9, add(X_10, X_11))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(X_10, X_9), X_11),
% 37.26/37.42 add(X_10, add(X_9, X_11))))],
% 37.26/37.42 [refute_0_61, refute_0_62])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_64, plain,
% 37.26/37.42 (add(X_10, add(X_9, X_11)) = add(X_9, add(X_10, X_11))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(add(X_10, X_9), X_11),
% 37.26/37.42 add(X_9, add(X_10, X_11))))],
% 37.26/37.42 [refute_0_60, refute_0_63])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_65, plain,
% 37.26/37.42 (add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))) =
% 37.26/37.42 add(X_10, add(X_9, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_64 :
% 37.26/37.42 [bind(X_10, $fot(X_9)),
% 37.26/37.42 bind(X_11, $fot('==>'(X_9, '==>'(X_10, A)))),
% 37.26/37.42 bind(X_9, $fot(X_10))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_66, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))) |
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))) !=
% 37.26/37.42 add(X_10, add(X_9, '==>'(X_9, '==>'(X_10, A)))) |
% 37.26/37.42 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(X_10, add(X_9, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf(~ $equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.42 add(X_10, add(X_9, '==>'(X_9, '==>'(X_10, A)))))),
% 37.26/37.42 [0],
% 37.26/37.42 $fot(add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_67, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))) |
% 37.26/37.42 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(X_10, add(X_9, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))),
% 37.26/37.42 add(X_10, add(X_9, '==>'(X_9, '==>'(X_10, A))))))],
% 37.26/37.42 [refute_0_65, refute_0_66])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_68, plain,
% 37.26/37.42 (add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.42 add(X_10, add(X_9, '==>'(X_9, '==>'(X_10, A))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.42 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A))))))],
% 37.26/37.42 [refute_0_53, refute_0_67])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_69, plain,
% 37.26/37.42 (add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) =
% 37.26/37.42 add(A, add('==>'(A, X_9), '==>'('==>'(A, X_9), '==>'(A, X_262))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_68 :
% 37.26/37.42 [bind(A, $fot(X_262)), bind(X_10, $fot(A)),
% 37.26/37.42 bind(X_9, $fot('==>'(A, X_9)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_70, plain,
% 37.26/37.42 (add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) !=
% 37.26/37.42 add(A, add('==>'(A, X_9), '==>'('==>'(A, X_9), '==>'(A, X_262)))) |
% 37.26/37.42 add(A, add('==>'(A, X_9), '==>'('==>'(A, X_9), '==>'(A, X_262)))) =
% 37.26/37.42 add(X_262, '==>'(X_262, add('==>'(A, X_9), A)))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_4 :
% 37.26/37.42 [bind(X,
% 37.26/37.42 $fot(add(X_262,
% 37.26/37.42 '==>'(X_262, add('==>'(A, X_9), A))))),
% 37.26/37.42 bind(Y,
% 37.26/37.42 $fot(add(A,
% 37.26/37.42 add('==>'(A, X_9),
% 37.26/37.42 '==>'('==>'(A, X_9),
% 37.26/37.42 '==>'(A, X_262))))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_71, plain,
% 37.26/37.42 (add(A, add('==>'(A, X_9), '==>'('==>'(A, X_9), '==>'(A, X_262)))) =
% 37.26/37.42 add(X_262, '==>'(X_262, add('==>'(A, X_9), A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_262, '==>'(X_262, add('==>'(A, X_9), A))),
% 37.26/37.42 add(A,
% 37.26/37.42 add('==>'(A, X_9),
% 37.26/37.42 '==>'('==>'(A, X_9), '==>'(A, X_262))))))],
% 37.26/37.42 [refute_0_69, refute_0_70])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_72, plain,
% 37.26/37.42 (add(A, add('==>'(A, X_9), '==>'('==>'(A, X_9), '==>'(A, X_262)))) !=
% 37.26/37.42 add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) |
% 37.26/37.42 add(A, add('==>'(A, X_9), '==>'('==>'(A, X_9), '==>'(A, X_262)))) !=
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) |
% 37.26/37.42 add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) =
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(A,
% 37.26/37.42 add('==>'(A, X_9),
% 37.26/37.42 '==>'('==>'(A, X_9), '==>'(A, X_262)))),
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.42 add(X_9, '==>'(X_9, A))))), [0],
% 37.26/37.42 $fot(add(X_262, '==>'(X_262, add('==>'(A, X_9), A))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_73, plain,
% 37.26/37.42 (add(A, add('==>'(A, X_9), '==>'('==>'(A, X_9), '==>'(A, X_262)))) !=
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) |
% 37.26/37.42 add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) =
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(A,
% 37.26/37.42 add('==>'(A, X_9),
% 37.26/37.42 '==>'('==>'(A, X_9), '==>'(A, X_262)))),
% 37.26/37.42 add(X_262, '==>'(X_262, add('==>'(A, X_9), A)))))],
% 37.26/37.42 [refute_0_71, refute_0_72])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_74, plain,
% 37.26/37.42 (add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) =
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(A,
% 37.26/37.42 add('==>'(A, X_9),
% 37.26/37.42 '==>'('==>'(A, X_9), '==>'(A, X_262)))),
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.42 add(X_9, '==>'(X_9, A)))))],
% 37.26/37.42 [refute_0_35, refute_0_73])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_75, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, X_33))) =
% 37.26/37.42 add(X_32, add(X_33, '==>'(X_32, '==>'(X_33, X_32))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_53 :
% 37.26/37.42 [bind(A, $fot(X_32)), bind(X_10, $fot(X_33)),
% 37.26/37.42 bind(X_9, $fot(X_32))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_76, plain,
% 37.26/37.42 ('==>'(add(X_12, X_13), X_14) = '==>'(X_12, '==>'(X_13, X_14))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_41 :
% 37.26/37.42 [bind(A, $fot(X_12)), bind(B, $fot(X_13)),
% 37.26/37.42 bind(C, $fot(X_14))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_77, plain, (add(X_13, X_12) = add(X_12, X_13)),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_23 : [bind(A, $fot(X_13)), bind(B, $fot(X_12))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_78, plain,
% 37.26/37.42 (add(X_13, X_12) != add(X_12, X_13) |
% 37.26/37.42 add(X_12, X_13) = add(X_13, X_12)),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_4 :
% 37.26/37.42 [bind(X, $fot(add(X_13, X_12))),
% 37.26/37.42 bind(Y, $fot(add(X_12, X_13)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_79, plain, (add(X_12, X_13) = add(X_13, X_12)),
% 37.26/37.42 inference(resolve, [$cnf($equal(add(X_13, X_12), add(X_12, X_13)))],
% 37.26/37.42 [refute_0_77, refute_0_78])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_80, plain,
% 37.26/37.42 (add(X_12, X_13) != add(X_13, X_12) |
% 37.26/37.42 '==>'(add(X_12, X_13), X_14) != '==>'(X_12, '==>'(X_13, X_14)) |
% 37.26/37.42 '==>'(add(X_13, X_12), X_14) = '==>'(X_12, '==>'(X_13, X_14))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal('==>'(add(X_12, X_13), X_14),
% 37.26/37.42 '==>'(X_12, '==>'(X_13, X_14)))), [0, 0],
% 37.26/37.42 $fot(add(X_13, X_12))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_81, plain,
% 37.26/37.42 ('==>'(add(X_12, X_13), X_14) != '==>'(X_12, '==>'(X_13, X_14)) |
% 37.26/37.42 '==>'(add(X_13, X_12), X_14) = '==>'(X_12, '==>'(X_13, X_14))),
% 37.26/37.42 inference(resolve, [$cnf($equal(add(X_12, X_13), add(X_13, X_12)))],
% 37.26/37.42 [refute_0_79, refute_0_80])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_82, plain,
% 37.26/37.42 ('==>'(add(X_13, X_12), X_14) = '==>'(X_12, '==>'(X_13, X_14))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal('==>'(add(X_12, X_13), X_14),
% 37.26/37.42 '==>'(X_12, '==>'(X_13, X_14))))],
% 37.26/37.42 [refute_0_76, refute_0_81])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_83, plain,
% 37.26/37.42 ('==>'(add(X_13, X_12), X_14) = '==>'(X_13, '==>'(X_12, X_14))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_41 :
% 37.26/37.42 [bind(A, $fot(X_13)), bind(B, $fot(X_12)),
% 37.26/37.42 bind(C, $fot(X_14))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_84, plain,
% 37.26/37.42 ('==>'(add(X_13, X_12), X_14) != '==>'(X_12, '==>'(X_13, X_14)) |
% 37.26/37.42 '==>'(add(X_13, X_12), X_14) != '==>'(X_13, '==>'(X_12, X_14)) |
% 37.26/37.42 '==>'(X_13, '==>'(X_12, X_14)) = '==>'(X_12, '==>'(X_13, X_14))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal('==>'(add(X_13, X_12), X_14),
% 37.26/37.42 '==>'(X_12, '==>'(X_13, X_14)))), [0],
% 37.26/37.42 $fot('==>'(X_13, '==>'(X_12, X_14)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_85, plain,
% 37.26/37.42 ('==>'(add(X_13, X_12), X_14) != '==>'(X_12, '==>'(X_13, X_14)) |
% 37.26/37.42 '==>'(X_13, '==>'(X_12, X_14)) = '==>'(X_12, '==>'(X_13, X_14))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal('==>'(add(X_13, X_12), X_14),
% 37.26/37.42 '==>'(X_13, '==>'(X_12, X_14))))],
% 37.26/37.42 [refute_0_83, refute_0_84])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_86, plain,
% 37.26/37.42 ('==>'(X_13, '==>'(X_12, X_14)) = '==>'(X_12, '==>'(X_13, X_14))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal('==>'(add(X_13, X_12), X_14),
% 37.26/37.42 '==>'(X_12, '==>'(X_13, X_14))))],
% 37.26/37.42 [refute_0_82, refute_0_85])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_87, plain,
% 37.26/37.42 ('==>'(X_28, '==>'(X_29, X_29)) = '==>'(X_29, '==>'(X_28, X_29))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_86 :
% 37.26/37.42 [bind(X_12, $fot(X_29)), bind(X_13, $fot(X_28)),
% 37.26/37.42 bind(X_14, $fot(X_29))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_88, plain, ('==>'(A, A) = 0),
% 37.26/37.42 inference(canonicalize, [], [normalize_0_10])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_89, plain, ('==>'(X_29, X_29) = 0),
% 37.26/37.42 inference(subst, [], [refute_0_88 : [bind(A, $fot(X_29))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_90, plain,
% 37.26/37.42 ('==>'(X_28, '==>'(X_29, X_29)) != '==>'(X_29, '==>'(X_28, X_29)) |
% 37.26/37.42 '==>'(X_29, X_29) != 0 |
% 37.26/37.42 '==>'(X_28, 0) = '==>'(X_29, '==>'(X_28, X_29))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal('==>'(X_28, '==>'(X_29, X_29)),
% 37.26/37.42 '==>'(X_29, '==>'(X_28, X_29)))), [0, 1],
% 37.26/37.42 $fot(0)]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_91, plain,
% 37.26/37.42 ('==>'(X_28, '==>'(X_29, X_29)) != '==>'(X_29, '==>'(X_28, X_29)) |
% 37.26/37.42 '==>'(X_28, 0) = '==>'(X_29, '==>'(X_28, X_29))),
% 37.26/37.42 inference(resolve, [$cnf($equal('==>'(X_29, X_29), 0))],
% 37.26/37.42 [refute_0_89, refute_0_90])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_92, plain, ('==>'(X_28, 0) = '==>'(X_29, '==>'(X_28, X_29))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal('==>'(X_28, '==>'(X_29, X_29)),
% 37.26/37.42 '==>'(X_29, '==>'(X_28, X_29))))],
% 37.26/37.42 [refute_0_87, refute_0_91])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_93, plain, ('==>'(A, 0) = 0),
% 37.26/37.42 inference(canonicalize, [], [normalize_0_12])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_94, plain, ('==>'(X_28, 0) = 0),
% 37.26/37.42 inference(subst, [], [refute_0_93 : [bind(A, $fot(X_28))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_95, plain,
% 37.26/37.42 ('==>'(X_28, 0) != 0 |
% 37.26/37.42 '==>'(X_28, 0) != '==>'(X_29, '==>'(X_28, X_29)) |
% 37.26/37.42 0 = '==>'(X_29, '==>'(X_28, X_29))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal('==>'(X_28, 0),
% 37.26/37.42 '==>'(X_29, '==>'(X_28, X_29)))), [0], $fot(0)]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_96, plain,
% 37.26/37.42 ('==>'(X_28, 0) != '==>'(X_29, '==>'(X_28, X_29)) |
% 37.26/37.42 0 = '==>'(X_29, '==>'(X_28, X_29))),
% 37.26/37.42 inference(resolve, [$cnf($equal('==>'(X_28, 0), 0))],
% 37.26/37.42 [refute_0_94, refute_0_95])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_97, plain, (0 = '==>'(X_29, '==>'(X_28, X_29))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal('==>'(X_28, 0),
% 37.26/37.42 '==>'(X_29, '==>'(X_28, X_29))))],
% 37.26/37.42 [refute_0_92, refute_0_96])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_98, plain, (0 = '==>'(X_32, '==>'(X_33, X_32))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_97 :
% 37.26/37.42 [bind(X_28, $fot(X_33)), bind(X_29, $fot(X_32))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_99, plain,
% 37.26/37.42 (0 != '==>'(X_32, '==>'(X_33, X_32)) |
% 37.26/37.42 '==>'(X_32, '==>'(X_33, X_32)) = 0),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_4 :
% 37.26/37.42 [bind(X, $fot(0)),
% 37.26/37.42 bind(Y, $fot('==>'(X_32, '==>'(X_33, X_32))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_100, plain, ('==>'(X_32, '==>'(X_33, X_32)) = 0),
% 37.26/37.42 inference(resolve, [$cnf($equal(0, '==>'(X_32, '==>'(X_33, X_32))))],
% 37.26/37.42 [refute_0_98, refute_0_99])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_101, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, X_33))) !=
% 37.26/37.42 add(X_32, add(X_33, '==>'(X_32, '==>'(X_33, X_32)))) |
% 37.26/37.42 '==>'(X_32, '==>'(X_33, X_32)) != 0 |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_32, X_33))) = add(X_32, add(X_33, 0))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_32, '==>'(X_32, add(X_32, X_33))),
% 37.26/37.42 add(X_32,
% 37.26/37.42 add(X_33, '==>'(X_32, '==>'(X_33, X_32)))))),
% 37.26/37.42 [1, 1, 1], $fot(0)]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_102, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, X_33))) !=
% 37.26/37.42 add(X_32, add(X_33, '==>'(X_32, '==>'(X_33, X_32)))) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_32, X_33))) = add(X_32, add(X_33, 0))),
% 37.26/37.42 inference(resolve, [$cnf($equal('==>'(X_32, '==>'(X_33, X_32)), 0))],
% 37.26/37.42 [refute_0_100, refute_0_101])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_103, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, X_33))) = add(X_32, add(X_33, 0))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32, '==>'(X_32, add(X_32, X_33))),
% 37.26/37.42 add(X_32,
% 37.26/37.42 add(X_33, '==>'(X_32, '==>'(X_33, X_32))))))],
% 37.26/37.42 [refute_0_75, refute_0_102])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_104, plain, (add(A, 0) = A),
% 37.26/37.42 inference(canonicalize, [], [normalize_0_14])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_105, plain, (add(X_33, 0) = X_33),
% 37.26/37.42 inference(subst, [], [refute_0_104 : [bind(A, $fot(X_33))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_106, plain,
% 37.26/37.42 (add(X_32, add(X_33, 0)) = add(X_32, add(X_33, 0))),
% 37.26/37.42 introduced(tautology, [refl, [$fot(add(X_32, add(X_33, 0)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_107, plain,
% 37.26/37.42 (add(X_32, add(X_33, 0)) != add(X_32, add(X_33, 0)) |
% 37.26/37.42 add(X_33, 0) != X_33 | add(X_32, add(X_33, 0)) = add(X_32, X_33)),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_32, add(X_33, 0)),
% 37.26/37.42 add(X_32, add(X_33, 0)))), [1, 1], $fot(X_33)]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_108, plain,
% 37.26/37.42 (add(X_33, 0) != X_33 | add(X_32, add(X_33, 0)) = add(X_32, X_33)),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32, add(X_33, 0)),
% 37.26/37.42 add(X_32, add(X_33, 0))))],
% 37.26/37.42 [refute_0_106, refute_0_107])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_109, plain, (add(X_32, add(X_33, 0)) = add(X_32, X_33)),
% 37.26/37.42 inference(resolve, [$cnf($equal(add(X_33, 0), X_33))],
% 37.26/37.42 [refute_0_105, refute_0_108])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_110, plain,
% 37.26/37.42 (add(X_32, add(X_33, 0)) != add(X_32, X_33) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_32, X_33))) != add(X_32, add(X_33, 0)) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_32, X_33))) = add(X_32, X_33)),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_32, '==>'(X_32, add(X_32, X_33))),
% 37.26/37.42 add(X_32, add(X_33, 0)))), [1],
% 37.26/37.42 $fot(add(X_32, X_33))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_111, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, X_33))) != add(X_32, add(X_33, 0)) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_32, X_33))) = add(X_32, X_33)),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32, add(X_33, 0)), add(X_32, X_33)))],
% 37.26/37.42 [refute_0_109, refute_0_110])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_112, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, X_33))) = add(X_32, X_33)),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32, '==>'(X_32, add(X_32, X_33))),
% 37.26/37.42 add(X_32, add(X_33, 0))))],
% 37.26/37.42 [refute_0_103, refute_0_111])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_113, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, '==>'(X_32, add(X_264, X_263))))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_112 :
% 37.26/37.42 [bind(X_33, $fot('==>'(X_32, add(X_264, X_263))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_114, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_264, X_263))) =
% 37.26/37.42 add(X_263, add(X_264, '==>'(X_264, '==>'(X_263, X_32))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_68 :
% 37.26/37.42 [bind(A, $fot(X_32)), bind(X_10, $fot(X_263)),
% 37.26/37.42 bind(X_9, $fot(X_264))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_115, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_264, X_263))) !=
% 37.26/37.42 add(X_263, add(X_264, '==>'(X_264, '==>'(X_263, X_32)))) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_32, '==>'(X_32, add(X_264, X_263))))) !=
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))) |
% 37.26/37.42 add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263, add(X_264, '==>'(X_264, '==>'(X_263, X_32)))))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))))),
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))))),
% 37.26/37.42 [0, 1, 1],
% 37.26/37.42 $fot(add(X_263,
% 37.26/37.42 add(X_264, '==>'(X_264, '==>'(X_263, X_32)))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_116, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, '==>'(X_32, add(X_264, X_263))))) !=
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))) |
% 37.26/37.42 add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263, add(X_264, '==>'(X_264, '==>'(X_263, X_32)))))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32, '==>'(X_32, add(X_264, X_263))),
% 37.26/37.42 add(X_263,
% 37.26/37.42 add(X_264, '==>'(X_264, '==>'(X_263, X_32))))))],
% 37.26/37.42 [refute_0_114, refute_0_115])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_117, plain,
% 37.26/37.42 (add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263, add(X_264, '==>'(X_264, '==>'(X_263, X_32)))))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))))),
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))))],
% 37.26/37.42 [refute_0_113, refute_0_116])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_118, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, '==>'(X_32, add(X_151, X_150))))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150)))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_112 :
% 37.26/37.42 [bind(X_33, $fot('==>'(X_32, add(X_151, X_150))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_119, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_34, X_33))) =
% 37.26/37.42 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_53 :
% 37.26/37.42 [bind(A, $fot(X_32)), bind(X_10, $fot(X_33)),
% 37.26/37.42 bind(X_9, $fot(X_34))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_120, plain,
% 37.26/37.42 ('==>'(X_33, '==>'(X_34, X_32)) = '==>'(X_34, '==>'(X_33, X_32))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_86 :
% 37.26/37.42 [bind(X_12, $fot(X_34)), bind(X_13, $fot(X_33)),
% 37.26/37.42 bind(X_14, $fot(X_32))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_121, plain,
% 37.26/37.42 ('==>'(X_33, '==>'(X_34, X_32)) != '==>'(X_34, '==>'(X_33, X_32)) |
% 37.26/37.42 '==>'(X_34, '==>'(X_33, X_32)) = '==>'(X_33, '==>'(X_34, X_32))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_4 :
% 37.26/37.42 [bind(X, $fot('==>'(X_33, '==>'(X_34, X_32)))),
% 37.26/37.42 bind(Y, $fot('==>'(X_34, '==>'(X_33, X_32))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_122, plain,
% 37.26/37.42 ('==>'(X_34, '==>'(X_33, X_32)) = '==>'(X_33, '==>'(X_34, X_32))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal('==>'(X_33, '==>'(X_34, X_32)),
% 37.26/37.42 '==>'(X_34, '==>'(X_33, X_32))))],
% 37.26/37.42 [refute_0_120, refute_0_121])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_123, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_34, X_33))) !=
% 37.26/37.42 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32)))) |
% 37.26/37.42 '==>'(X_34, '==>'(X_33, X_32)) != '==>'(X_33, '==>'(X_34, X_32)) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_34, X_33))) =
% 37.26/37.42 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32))))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_32, '==>'(X_32, add(X_34, X_33))),
% 37.26/37.42 add(X_34,
% 37.26/37.42 add(X_33, '==>'(X_34, '==>'(X_33, X_32)))))),
% 37.26/37.42 [1, 1, 1], $fot('==>'(X_33, '==>'(X_34, X_32)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_124, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_34, X_33))) !=
% 37.26/37.42 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32)))) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_34, X_33))) =
% 37.26/37.42 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal('==>'(X_34, '==>'(X_33, X_32)),
% 37.26/37.42 '==>'(X_33, '==>'(X_34, X_32))))],
% 37.26/37.42 [refute_0_122, refute_0_123])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_125, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_34, X_33))) =
% 37.26/37.42 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32))))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32, '==>'(X_32, add(X_34, X_33))),
% 37.26/37.42 add(X_34,
% 37.26/37.42 add(X_33, '==>'(X_34, '==>'(X_33, X_32))))))],
% 37.26/37.42 [refute_0_119, refute_0_124])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_126, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_151, X_150))) =
% 37.26/37.42 add(X_151, add(X_150, '==>'(X_150, '==>'(X_151, X_32))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_125 :
% 37.26/37.42 [bind(X_33, $fot(X_150)), bind(X_34, $fot(X_151))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_127, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_151, X_150))) !=
% 37.26/37.42 add(X_151, add(X_150, '==>'(X_150, '==>'(X_151, X_32)))) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_32, '==>'(X_32, add(X_151, X_150))))) !=
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150))) |
% 37.26/37.42 add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_151, add(X_150, '==>'(X_150, '==>'(X_151, X_32)))))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150)))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150))))),
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150))))),
% 37.26/37.42 [0, 1, 1],
% 37.26/37.42 $fot(add(X_151,
% 37.26/37.42 add(X_150, '==>'(X_150, '==>'(X_151, X_32)))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_128, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_32, '==>'(X_32, add(X_151, X_150))))) !=
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150))) |
% 37.26/37.42 add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_151, add(X_150, '==>'(X_150, '==>'(X_151, X_32)))))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32, '==>'(X_32, add(X_151, X_150))),
% 37.26/37.42 add(X_151,
% 37.26/37.42 add(X_150, '==>'(X_150, '==>'(X_151, X_32))))))],
% 37.26/37.42 [refute_0_126, refute_0_127])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_129, plain,
% 37.26/37.42 (add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_151, add(X_150, '==>'(X_150, '==>'(X_151, X_32)))))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150))))),
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_151, X_150)))))],
% 37.26/37.42 [refute_0_118, refute_0_128])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_130, plain,
% 37.26/37.42 (add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263, add(X_264, '==>'(X_264, '==>'(X_263, X_32)))))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_263, X_264)))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_129 :
% 37.26/37.42 [bind(X_150, $fot(X_264)), bind(X_151, $fot(X_263))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_131, plain,
% 37.26/37.42 (add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263, add(X_264, '==>'(X_264, '==>'(X_263, X_32)))))) !=
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_263, X_264))) |
% 37.26/37.42 add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263, add(X_264, '==>'(X_264, '==>'(X_263, X_32)))))) !=
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_263, X_264))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263,
% 37.26/37.42 add(X_264,
% 37.26/37.42 '==>'(X_264, '==>'(X_263, X_32)))))),
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))))), [0],
% 37.26/37.42 $fot(add(X_32, '==>'(X_32, add(X_263, X_264))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_132, plain,
% 37.26/37.42 (add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263, add(X_264, '==>'(X_264, '==>'(X_263, X_32)))))) !=
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_263, X_264))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263,
% 37.26/37.42 add(X_264,
% 37.26/37.42 '==>'(X_264, '==>'(X_263, X_32)))))),
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_263, X_264)))))],
% 37.26/37.42 [refute_0_130, refute_0_131])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_133, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_263, X_264))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32,
% 37.26/37.42 '==>'(X_32,
% 37.26/37.42 add(X_263,
% 37.26/37.42 add(X_264,
% 37.26/37.42 '==>'(X_264, '==>'(X_263, X_32)))))),
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))))],
% 37.26/37.42 [refute_0_117, refute_0_132])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_134, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_263, X_264))) !=
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))) |
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_263, X_264)))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_4 :
% 37.26/37.42 [bind(X, $fot(add(X_32, '==>'(X_32, add(X_263, X_264))))),
% 37.26/37.42 bind(Y,
% 37.26/37.42 $fot(add(X_32, '==>'(X_32, add(X_264, X_263)))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_135, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add(X_264, X_263))) =
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_263, X_264)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_32, '==>'(X_32, add(X_263, X_264))),
% 37.26/37.42 add(X_32, '==>'(X_32, add(X_264, X_263)))))],
% 37.26/37.42 [refute_0_133, refute_0_134])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_136, plain,
% 37.26/37.42 (add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) =
% 37.26/37.42 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_135 :
% 37.26/37.42 [bind(X_263, $fot(A)), bind(X_264, $fot('==>'(A, X_9))),
% 37.26/37.42 bind(X_32, $fot(X_262))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_137, plain,
% 37.26/37.42 (add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) !=
% 37.26/37.42 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) |
% 37.26/37.42 add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) !=
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) |
% 37.26/37.42 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) =
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 introduced(tautology,
% 37.26/37.42 [equality,
% 37.26/37.42 [$cnf($equal(add(X_262,
% 37.26/37.42 '==>'(X_262, add('==>'(A, X_9), A))),
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.42 add(X_9, '==>'(X_9, A))))), [0],
% 37.26/37.42 $fot(add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_138, plain,
% 37.26/37.42 (add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) !=
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) |
% 37.26/37.42 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) =
% 37.26/37.42 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A)))),
% 37.26/37.42 inference(resolve,
% 37.26/37.42 [$cnf($equal(add(X_262, '==>'(X_262, add('==>'(A, X_9), A))),
% 37.26/37.42 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9))))))],
% 37.26/37.42 [refute_0_136, refute_0_137])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_139, plain,
% 37.26/37.42 (add(X_9, '==>'(X_9, add('==>'(A, X_262), A))) =
% 37.26/37.42 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_135 :
% 37.26/37.42 [bind(X_263, $fot(A)), bind(X_264, $fot('==>'(A, X_262))),
% 37.26/37.42 bind(X_32, $fot(X_9))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_140, plain,
% 37.26/37.42 (add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) =
% 37.26/37.42 add(X_64, add(X_63, '==>'(X_63, add(X_33, '==>'(X_33, X_63)))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_28 :
% 37.26/37.42 [bind(A, $fot('==>'(X_63, add(X_33, '==>'(X_33, X_63))))),
% 37.26/37.42 bind(X_10, $fot(X_63)), bind(X_9, $fot(X_64))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_141, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) =
% 37.26/37.42 add('==>'(X_33, X_32),
% 37.26/37.42 add(X_33, '==>'('==>'(X_33, X_32), '==>'(X_33, X_32))))),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_53 :
% 37.26/37.42 [bind(A, $fot(X_32)), bind(X_10, $fot(X_33)),
% 37.26/37.42 bind(X_9, $fot('==>'(X_33, X_32)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_142, plain, ('==>'('==>'(X_33, X_32), '==>'(X_33, X_32)) = 0),
% 37.26/37.42 inference(subst, [],
% 37.26/37.42 [refute_0_88 : [bind(A, $fot('==>'(X_33, X_32)))]])).
% 37.26/37.42
% 37.26/37.42 cnf(refute_0_143, plain,
% 37.26/37.42 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) !=
% 37.26/37.43 add('==>'(X_33, X_32),
% 37.26/37.43 add(X_33, '==>'('==>'(X_33, X_32), '==>'(X_33, X_32)))) |
% 37.26/37.43 '==>'('==>'(X_33, X_32), '==>'(X_33, X_32)) != 0 |
% 37.26/37.43 add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) =
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))),
% 37.26/37.43 add('==>'(X_33, X_32),
% 37.26/37.43 add(X_33,
% 37.26/37.43 '==>'('==>'(X_33, X_32),
% 37.26/37.43 '==>'(X_33, X_32)))))), [1, 1, 1],
% 37.26/37.43 $fot(0)]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_144, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) !=
% 37.26/37.43 add('==>'(X_33, X_32),
% 37.26/37.43 add(X_33, '==>'('==>'(X_33, X_32), '==>'(X_33, X_32)))) |
% 37.26/37.43 add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) =
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal('==>'('==>'(X_33, X_32), '==>'(X_33, X_32)),
% 37.26/37.43 0))], [refute_0_142, refute_0_143])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_145, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) =
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))),
% 37.26/37.43 add('==>'(X_33, X_32),
% 37.26/37.43 add(X_33,
% 37.26/37.43 '==>'('==>'(X_33, X_32), '==>'(X_33, X_32))))))],
% 37.26/37.43 [refute_0_141, refute_0_144])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_146, plain, (add(A, B) != add(B, A) | add(B, A) = add(A, B)),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(A, B))), bind(Y, $fot(add(B, A)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_147, plain, (add(B, A) = add(A, B)),
% 37.26/37.43 inference(resolve, [$cnf($equal(add(A, B), add(B, A)))],
% 37.26/37.43 [refute_0_23, refute_0_146])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_148, plain,
% 37.26/37.43 (add('==>'(X_33, X_32), X_33) = add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_147 :
% 37.26/37.43 [bind(A, $fot(X_33)), bind(B, $fot('==>'(X_33, X_32)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_149, plain,
% 37.26/37.43 ('==>'(X_32, add('==>'(X_33, X_32), X_33)) =
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [refl, [$fot('==>'(X_32, add('==>'(X_33, X_32), X_33)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_150, plain,
% 37.26/37.43 (add('==>'(X_33, X_32), X_33) != add(X_33, '==>'(X_33, X_32)) |
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33)) !=
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33)) |
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33)) =
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32)))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal('==>'(X_32, add('==>'(X_33, X_32), X_33)),
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33)))),
% 37.26/37.43 [1, 1], $fot(add(X_33, '==>'(X_33, X_32)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_151, plain,
% 37.26/37.43 (add('==>'(X_33, X_32), X_33) != add(X_33, '==>'(X_33, X_32)) |
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33)) =
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal('==>'(X_32, add('==>'(X_33, X_32), X_33)),
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))))],
% 37.26/37.43 [refute_0_149, refute_0_150])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_152, plain,
% 37.26/37.43 ('==>'(X_32, add('==>'(X_33, X_32), X_33)) =
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_33, X_32), X_33),
% 37.26/37.43 add(X_33, '==>'(X_33, X_32))))],
% 37.26/37.43 [refute_0_148, refute_0_151])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_153, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) =
% 37.26/37.43 add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33)))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [refl,
% 37.26/37.43 [$fot(add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_154, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) !=
% 37.26/37.43 add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) |
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33)) !=
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32))) |
% 37.26/37.43 add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) =
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32))))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))),
% 37.26/37.43 add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))))),
% 37.26/37.43 [1, 1],
% 37.26/37.43 $fot('==>'(X_32, add(X_33, '==>'(X_33, X_32))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_155, plain,
% 37.26/37.43 ('==>'(X_32, add('==>'(X_33, X_32), X_33)) !=
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32))) |
% 37.26/37.43 add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) =
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32))))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))),
% 37.26/37.43 add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33)))))],
% 37.26/37.43 [refute_0_153, refute_0_154])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_156, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) =
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32))))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal('==>'(X_32, add('==>'(X_33, X_32), X_33)),
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32)))))],
% 37.26/37.43 [refute_0_152, refute_0_155])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_157, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) !=
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32)))) |
% 37.26/37.43 add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) !=
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32)))) =
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))),
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)))), [0],
% 37.26/37.43 $fot(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32)))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_158, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) !=
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32)))) =
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))),
% 37.26/37.43 add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32))))))],
% 37.26/37.43 [refute_0_156, refute_0_157])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_159, plain, (add(A, 0) = add(0, A)),
% 37.26/37.43 inference(subst, [], [refute_0_23 : [bind(B, $fot(0))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_160, plain,
% 37.26/37.43 (add(A, 0) != A | add(A, 0) != add(0, A) | add(0, A) = A),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(A, 0), A)), [0], $fot(add(0, A))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_161, plain, (add(A, 0) != A | add(0, A) = A),
% 37.26/37.43 inference(resolve, [$cnf($equal(add(A, 0), add(0, A)))],
% 37.26/37.43 [refute_0_159, refute_0_160])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_162, plain, (add(0, A) = A),
% 37.26/37.43 inference(resolve, [$cnf($equal(add(A, 0), A))],
% 37.26/37.43 [refute_0_104, refute_0_161])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_163, plain, (add(0, '==>'(X_33, X_32)) = '==>'(X_33, X_32)),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_162 : [bind(A, $fot('==>'(X_33, X_32)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_164, plain,
% 37.26/37.43 (add(X_33, add(0, '==>'(X_33, X_32))) =
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32)))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [refl, [$fot(add(X_33, add(0, '==>'(X_33, X_32))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_165, plain,
% 37.26/37.43 (add(X_33, add(0, '==>'(X_33, X_32))) !=
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32))) |
% 37.26/37.43 add(0, '==>'(X_33, X_32)) != '==>'(X_33, X_32) |
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32))) = add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_33, add(0, '==>'(X_33, X_32))),
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32))))), [1, 1],
% 37.26/37.43 $fot('==>'(X_33, X_32))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_166, plain,
% 37.26/37.43 (add(0, '==>'(X_33, X_32)) != '==>'(X_33, X_32) |
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32))) = add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_33, add(0, '==>'(X_33, X_32))),
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32)))))],
% 37.26/37.43 [refute_0_164, refute_0_165])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_167, plain,
% 37.26/37.43 (add(X_33, add(0, '==>'(X_33, X_32))) = add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(0, '==>'(X_33, X_32)), '==>'(X_33, X_32)))],
% 37.26/37.43 [refute_0_163, refute_0_166])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_168, plain, (add(X_11, X_10) = add(X_10, X_11)),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_23 : [bind(A, $fot(X_11)), bind(B, $fot(X_10))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_169, plain,
% 37.26/37.43 (add(X_11, X_10) != add(X_10, X_11) |
% 37.26/37.43 add(X_10, X_11) = add(X_11, X_10)),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_11, X_10))),
% 37.26/37.43 bind(Y, $fot(add(X_10, X_11)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_170, plain, (add(X_10, X_11) = add(X_11, X_10)),
% 37.26/37.43 inference(resolve, [$cnf($equal(add(X_11, X_10), add(X_10, X_11)))],
% 37.26/37.43 [refute_0_168, refute_0_169])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_171, plain,
% 37.26/37.43 (add(X_10, X_11) != add(X_11, X_10) |
% 37.26/37.43 add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 37.26/37.43 add(add(X_9, X_10), X_11) = add(X_9, add(X_11, X_10))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(add(X_9, X_10), X_11),
% 37.26/37.43 add(X_9, add(X_10, X_11)))), [1, 1],
% 37.26/37.43 $fot(add(X_11, X_10))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_172, plain,
% 37.26/37.43 (add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 37.26/37.43 add(add(X_9, X_10), X_11) = add(X_9, add(X_11, X_10))),
% 37.26/37.43 inference(resolve, [$cnf($equal(add(X_10, X_11), add(X_11, X_10)))],
% 37.26/37.43 [refute_0_170, refute_0_171])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_173, plain,
% 37.26/37.43 (add(add(X_9, X_10), X_11) = add(X_9, add(X_11, X_10))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(add(X_9, X_10), X_11),
% 37.26/37.43 add(X_9, add(X_10, X_11))))],
% 37.26/37.43 [refute_0_54, refute_0_172])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_174, plain,
% 37.26/37.43 (add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 37.26/37.43 add(add(X_9, X_10), X_11) != add(X_9, add(X_11, X_10)) |
% 37.26/37.43 add(X_9, add(X_10, X_11)) = add(X_9, add(X_11, X_10))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(add(X_9, X_10), X_11),
% 37.26/37.43 add(X_9, add(X_11, X_10)))), [0],
% 37.26/37.43 $fot(add(X_9, add(X_10, X_11)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_175, plain,
% 37.26/37.43 (add(add(X_9, X_10), X_11) != add(X_9, add(X_11, X_10)) |
% 37.26/37.43 add(X_9, add(X_10, X_11)) = add(X_9, add(X_11, X_10))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(add(X_9, X_10), X_11),
% 37.26/37.43 add(X_9, add(X_10, X_11))))],
% 37.26/37.43 [refute_0_54, refute_0_174])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_176, plain,
% 37.26/37.43 (add(X_9, add(X_10, X_11)) = add(X_9, add(X_11, X_10))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(add(X_9, X_10), X_11),
% 37.26/37.43 add(X_9, add(X_11, X_10))))],
% 37.26/37.43 [refute_0_173, refute_0_175])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_177, plain,
% 37.26/37.43 (add(X_9, add(X_10, X_11)) != add(X_9, add(X_11, X_10)) |
% 37.26/37.43 add(X_9, add(X_11, X_10)) = add(X_9, add(X_10, X_11))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_9, add(X_10, X_11)))),
% 37.26/37.43 bind(Y, $fot(add(X_9, add(X_11, X_10))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_178, plain,
% 37.26/37.43 (add(X_9, add(X_11, X_10)) = add(X_9, add(X_10, X_11))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_9, add(X_10, X_11)),
% 37.26/37.43 add(X_9, add(X_11, X_10))))],
% 37.26/37.43 [refute_0_176, refute_0_177])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_179, plain,
% 37.26/37.43 (add(X_33, add('==>'(X_33, X_32), 0)) =
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_178 :
% 37.26/37.43 [bind(X_10, $fot(0)), bind(X_11, $fot('==>'(X_33, X_32))),
% 37.26/37.43 bind(X_9, $fot(X_33))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_180, plain,
% 37.26/37.43 (add(X_10, add(X_9, X_11)) != add(X_9, add(X_10, X_11)) |
% 37.26/37.43 add(X_9, add(X_10, X_11)) = add(X_10, add(X_9, X_11))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_10, add(X_9, X_11)))),
% 37.26/37.43 bind(Y, $fot(add(X_9, add(X_10, X_11))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_181, plain,
% 37.26/37.43 (add(X_9, add(X_10, X_11)) = add(X_10, add(X_9, X_11))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_10, add(X_9, X_11)),
% 37.26/37.43 add(X_9, add(X_10, X_11))))],
% 37.26/37.43 [refute_0_64, refute_0_180])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_182, plain,
% 37.26/37.43 (add('==>'(X_33, X_32), add(X_33, 0)) =
% 37.26/37.43 add(X_33, add('==>'(X_33, X_32), 0))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_181 :
% 37.26/37.43 [bind(X_10, $fot(X_33)), bind(X_11, $fot(0)),
% 37.26/37.43 bind(X_9, $fot('==>'(X_33, X_32)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_183, plain, (Y != X | Y != Z | X = Z),
% 37.26/37.43 introduced(tautology, [equality, [$cnf($equal(Y, Z)), [0], $fot(X)]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_184, plain, (X != Y | Y != Z | X = Z),
% 37.26/37.43 inference(resolve, [$cnf($equal(Y, X))], [refute_0_4, refute_0_183])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_185, plain,
% 37.26/37.43 (add(X_33, add('==>'(X_33, X_32), 0)) !=
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32))) |
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) !=
% 37.26/37.43 add(X_33, add('==>'(X_33, X_32), 0)) |
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) =
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_184 :
% 37.26/37.43 [bind(X, $fot(add('==>'(X_33, X_32), add(X_33, 0)))),
% 37.26/37.43 bind(Y, $fot(add(X_33, add('==>'(X_33, X_32), 0)))),
% 37.26/37.43 bind(Z, $fot(add(X_33, add(0, '==>'(X_33, X_32)))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_186, plain,
% 37.26/37.43 (add(X_33, add('==>'(X_33, X_32), 0)) !=
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32))) |
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) =
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_33, X_32), add(X_33, 0)),
% 37.26/37.43 add(X_33, add('==>'(X_33, X_32), 0))))],
% 37.26/37.43 [refute_0_182, refute_0_185])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_187, plain,
% 37.26/37.43 (add('==>'(X_33, X_32), add(X_33, 0)) =
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_33, add('==>'(X_33, X_32), 0)),
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32)))))],
% 37.26/37.43 [refute_0_179, refute_0_186])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_188, plain,
% 37.26/37.43 (add(X_33, add(0, '==>'(X_33, X_32))) != add(X_33, '==>'(X_33, X_32)) |
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) !=
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32))) |
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) = add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_184 :
% 37.26/37.43 [bind(X, $fot(add('==>'(X_33, X_32), add(X_33, 0)))),
% 37.26/37.43 bind(Y, $fot(add(X_33, add(0, '==>'(X_33, X_32))))),
% 37.26/37.43 bind(Z, $fot(add(X_33, '==>'(X_33, X_32))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_189, plain,
% 37.26/37.43 (add(X_33, add(0, '==>'(X_33, X_32))) != add(X_33, '==>'(X_33, X_32)) |
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) = add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_33, X_32), add(X_33, 0)),
% 37.26/37.43 add(X_33, add(0, '==>'(X_33, X_32)))))],
% 37.26/37.43 [refute_0_187, refute_0_188])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_190, plain,
% 37.26/37.43 (add('==>'(X_33, X_32), add(X_33, 0)) = add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_33, add(0, '==>'(X_33, X_32))),
% 37.26/37.43 add(X_33, '==>'(X_33, X_32))))],
% 37.26/37.43 [refute_0_167, refute_0_189])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_191, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32)))) !=
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) |
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) != add(X_33, '==>'(X_33, X_32)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32)))) =
% 37.26/37.43 add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf(~ $equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32)))),
% 37.26/37.43 add(X_33, '==>'(X_33, X_32)))), [0],
% 37.26/37.43 $fot(add('==>'(X_33, X_32), add(X_33, 0)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_192, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32)))) !=
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32)))) =
% 37.26/37.43 add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_33, X_32), add(X_33, 0)),
% 37.26/37.43 add(X_33, '==>'(X_33, X_32))))],
% 37.26/37.43 [refute_0_190, refute_0_191])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_193, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add('==>'(X_33, X_32), X_33))) !=
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32)))) =
% 37.26/37.43 add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_33, '==>'(X_33, X_32)))),
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0))))],
% 37.26/37.43 [refute_0_158, refute_0_192])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_194, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_33, '==>'(X_33, X_32)))) =
% 37.26/37.43 add(X_33, '==>'(X_33, X_32))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add('==>'(X_33, X_32), X_33))),
% 37.26/37.43 add('==>'(X_33, X_32), add(X_33, 0))))],
% 37.26/37.43 [refute_0_145, refute_0_193])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_195, plain,
% 37.26/37.43 (add(X_63, '==>'(X_63, add(X_33, '==>'(X_33, X_63)))) =
% 37.26/37.43 add(X_33, '==>'(X_33, X_63))),
% 37.26/37.43 inference(subst, [], [refute_0_194 : [bind(X_32, $fot(X_63))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_196, plain,
% 37.26/37.43 (add(X_63, '==>'(X_63, add(X_33, '==>'(X_33, X_63)))) !=
% 37.26/37.43 add(X_33, '==>'(X_33, X_63)) |
% 37.26/37.43 add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) !=
% 37.26/37.43 add(X_64, add(X_63, '==>'(X_63, add(X_33, '==>'(X_33, X_63))))) |
% 37.26/37.43 add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) =
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63)))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add('==>'(X_63, add(X_33, '==>'(X_33, X_63))),
% 37.26/37.43 add(X_64, X_63)),
% 37.26/37.43 add(X_64,
% 37.26/37.43 add(X_63,
% 37.26/37.43 '==>'(X_63, add(X_33, '==>'(X_33, X_63))))))),
% 37.26/37.43 [1, 1], $fot(add(X_33, '==>'(X_33, X_63)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_197, plain,
% 37.26/37.43 (add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) !=
% 37.26/37.43 add(X_64, add(X_63, '==>'(X_63, add(X_33, '==>'(X_33, X_63))))) |
% 37.26/37.43 add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) =
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_63,
% 37.26/37.43 '==>'(X_63, add(X_33, '==>'(X_33, X_63)))),
% 37.26/37.43 add(X_33, '==>'(X_33, X_63))))],
% 37.26/37.43 [refute_0_195, refute_0_196])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_198, plain,
% 37.26/37.43 (add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) =
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_63, add(X_33, '==>'(X_33, X_63))),
% 37.26/37.43 add(X_64, X_63)),
% 37.26/37.43 add(X_64,
% 37.26/37.43 add(X_63,
% 37.26/37.43 '==>'(X_63, add(X_33, '==>'(X_33, X_63)))))))],
% 37.26/37.43 [refute_0_140, refute_0_197])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_199, plain,
% 37.26/37.43 (add(X_62, add(X_64, X_63)) = add(X_64, add(X_63, X_62))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_28 :
% 37.26/37.43 [bind(A, $fot(X_62)), bind(X_10, $fot(X_63)),
% 37.26/37.43 bind(X_9, $fot(X_64))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_200, plain, (add(X_63, X_64) = add(X_64, X_63)),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_23 : [bind(A, $fot(X_63)), bind(B, $fot(X_64))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_201, plain,
% 37.26/37.43 (add(X_63, X_64) != add(X_64, X_63) |
% 37.26/37.43 add(X_64, X_63) = add(X_63, X_64)),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_63, X_64))),
% 37.26/37.43 bind(Y, $fot(add(X_64, X_63)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_202, plain, (add(X_64, X_63) = add(X_63, X_64)),
% 37.26/37.43 inference(resolve, [$cnf($equal(add(X_63, X_64), add(X_64, X_63)))],
% 37.26/37.43 [refute_0_200, refute_0_201])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_203, plain,
% 37.26/37.43 (add(X_62, add(X_64, X_63)) != add(X_64, add(X_63, X_62)) |
% 37.26/37.43 add(X_64, X_63) != add(X_63, X_64) |
% 37.26/37.43 add(X_62, add(X_63, X_64)) = add(X_64, add(X_63, X_62))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_62, add(X_64, X_63)),
% 37.26/37.43 add(X_64, add(X_63, X_62)))), [0, 1],
% 37.26/37.43 $fot(add(X_63, X_64))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_204, plain,
% 37.26/37.43 (add(X_62, add(X_64, X_63)) != add(X_64, add(X_63, X_62)) |
% 37.26/37.43 add(X_62, add(X_63, X_64)) = add(X_64, add(X_63, X_62))),
% 37.26/37.43 inference(resolve, [$cnf($equal(add(X_64, X_63), add(X_63, X_64)))],
% 37.26/37.43 [refute_0_202, refute_0_203])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_205, plain,
% 37.26/37.43 (add(X_62, add(X_63, X_64)) = add(X_64, add(X_63, X_62))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_62, add(X_64, X_63)),
% 37.26/37.43 add(X_64, add(X_63, X_62))))],
% 37.26/37.43 [refute_0_199, refute_0_204])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_206, plain,
% 37.26/37.43 (add(X_62, add(X_63, X_64)) != add(X_64, add(X_63, X_62)) |
% 37.26/37.43 add(X_64, add(X_63, X_62)) = add(X_62, add(X_63, X_64))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_62, add(X_63, X_64)))),
% 37.26/37.43 bind(Y, $fot(add(X_64, add(X_63, X_62))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_207, plain,
% 37.26/37.43 (add(X_64, add(X_63, X_62)) = add(X_62, add(X_63, X_64))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_62, add(X_63, X_64)),
% 37.26/37.43 add(X_64, add(X_63, X_62))))],
% 37.26/37.43 [refute_0_205, refute_0_206])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_208, plain,
% 37.26/37.43 (add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) =
% 37.26/37.43 add(X_63, add(X_64, '==>'(X_63, add(X_33, '==>'(X_33, X_63)))))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_207 :
% 37.26/37.43 [bind(X_62, $fot(X_63)), bind(X_63, $fot(X_64)),
% 37.26/37.43 bind(X_64,
% 37.26/37.43 $fot('==>'(X_63, add(X_33, '==>'(X_33, X_63)))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_209, plain,
% 37.26/37.43 (add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) !=
% 37.26/37.43 add(X_63, add(X_64, '==>'(X_63, add(X_33, '==>'(X_33, X_63))))) |
% 37.26/37.43 add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) !=
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63))) |
% 37.26/37.43 add(X_63, add(X_64, '==>'(X_63, add(X_33, '==>'(X_33, X_63))))) =
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63)))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add('==>'(X_63, add(X_33, '==>'(X_33, X_63))),
% 37.26/37.43 add(X_64, X_63)),
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63))))), [0],
% 37.26/37.43 $fot(add(X_63,
% 37.26/37.43 add(X_64,
% 37.26/37.43 '==>'(X_63, add(X_33, '==>'(X_33, X_63))))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_210, plain,
% 37.26/37.43 (add('==>'(X_63, add(X_33, '==>'(X_33, X_63))), add(X_64, X_63)) !=
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63))) |
% 37.26/37.43 add(X_63, add(X_64, '==>'(X_63, add(X_33, '==>'(X_33, X_63))))) =
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_63, add(X_33, '==>'(X_33, X_63))),
% 37.26/37.43 add(X_64, X_63)),
% 37.26/37.43 add(X_63,
% 37.26/37.43 add(X_64,
% 37.26/37.43 '==>'(X_63, add(X_33, '==>'(X_33, X_63)))))))],
% 37.26/37.43 [refute_0_208, refute_0_209])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_211, plain,
% 37.26/37.43 (add(X_63, add(X_64, '==>'(X_63, add(X_33, '==>'(X_33, X_63))))) =
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_63, add(X_33, '==>'(X_33, X_63))),
% 37.26/37.43 add(X_64, X_63)),
% 37.26/37.43 add(X_64, add(X_33, '==>'(X_33, X_63)))))],
% 37.26/37.43 [refute_0_198, refute_0_210])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_212, plain,
% 37.26/37.43 (add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) =
% 37.26/37.43 add(X_251, add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_211 :
% 37.26/37.43 [bind(X_33, $fot('==>'(X_251, X_9))),
% 37.26/37.43 bind(X_63, $fot(X_250)), bind(X_64, $fot(X_251))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_213, plain,
% 37.26/37.43 (add(X_251, add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))) =
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_34 :
% 37.26/37.43 [bind(A, $fot(X_251)),
% 37.26/37.43 bind(X_11, $fot('==>'('==>'(X_251, X_9), X_250)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_214, plain,
% 37.26/37.43 (add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) !=
% 37.26/37.43 add(X_251, add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))) |
% 37.26/37.43 add(X_251, add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))) !=
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) |
% 37.26/37.43 add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) =
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251)))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf(~ $equal(add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))))),
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250),
% 37.26/37.43 add(X_9, '==>'(X_9, X_251))))), [0],
% 37.26/37.43 $fot(add(X_251,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_215, plain,
% 37.26/37.43 (add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) !=
% 37.26/37.43 add(X_251, add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))) |
% 37.26/37.43 add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) =
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_251,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))),
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250),
% 37.26/37.43 add(X_9, '==>'(X_9, X_251)))))],
% 37.26/37.43 [refute_0_213, refute_0_214])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_216, plain,
% 37.26/37.43 (add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) =
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))))),
% 37.26/37.43 add(X_251,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250)))))],
% 37.26/37.43 [refute_0_212, refute_0_215])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_217, plain,
% 37.26/37.43 (add(X_21, add('==>'(X_21, X_23), X_22)) =
% 37.26/37.43 add(X_23, add('==>'(X_23, X_21), X_22))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_22 :
% 37.26/37.43 [bind(A, $fot(X_21)), bind(X_11, $fot(X_22)),
% 37.26/37.43 bind(X_9, $fot(X_23))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_218, plain,
% 37.26/37.43 (add(X_22, '==>'(X_21, X_23)) = add('==>'(X_21, X_23), X_22)),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_23 :
% 37.26/37.43 [bind(A, $fot(X_22)), bind(B, $fot('==>'(X_21, X_23)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_219, plain,
% 37.26/37.43 (add(X_22, '==>'(X_21, X_23)) != add('==>'(X_21, X_23), X_22) |
% 37.26/37.43 add('==>'(X_21, X_23), X_22) = add(X_22, '==>'(X_21, X_23))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_22, '==>'(X_21, X_23)))),
% 37.26/37.43 bind(Y, $fot(add('==>'(X_21, X_23), X_22)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_220, plain,
% 37.26/37.43 (add('==>'(X_21, X_23), X_22) = add(X_22, '==>'(X_21, X_23))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_22, '==>'(X_21, X_23)),
% 37.26/37.43 add('==>'(X_21, X_23), X_22)))],
% 37.26/37.43 [refute_0_218, refute_0_219])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_221, plain,
% 37.26/37.43 (add(X_21, add('==>'(X_21, X_23), X_22)) !=
% 37.26/37.43 add(X_23, add('==>'(X_23, X_21), X_22)) |
% 37.26/37.43 add('==>'(X_21, X_23), X_22) != add(X_22, '==>'(X_21, X_23)) |
% 37.26/37.43 add(X_21, add(X_22, '==>'(X_21, X_23))) =
% 37.26/37.43 add(X_23, add('==>'(X_23, X_21), X_22))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_21, add('==>'(X_21, X_23), X_22)),
% 37.26/37.43 add(X_23, add('==>'(X_23, X_21), X_22)))), [0, 1],
% 37.26/37.43 $fot(add(X_22, '==>'(X_21, X_23)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_222, plain,
% 37.26/37.43 (add(X_21, add('==>'(X_21, X_23), X_22)) !=
% 37.26/37.43 add(X_23, add('==>'(X_23, X_21), X_22)) |
% 37.26/37.43 add(X_21, add(X_22, '==>'(X_21, X_23))) =
% 37.26/37.43 add(X_23, add('==>'(X_23, X_21), X_22))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_21, X_23), X_22),
% 37.26/37.43 add(X_22, '==>'(X_21, X_23))))],
% 37.26/37.43 [refute_0_220, refute_0_221])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_223, plain,
% 37.26/37.43 (add(X_21, add(X_22, '==>'(X_21, X_23))) =
% 37.26/37.43 add(X_23, add('==>'(X_23, X_21), X_22))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_21, add('==>'(X_21, X_23), X_22)),
% 37.26/37.43 add(X_23, add('==>'(X_23, X_21), X_22))))],
% 37.26/37.43 [refute_0_217, refute_0_222])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_224, plain,
% 37.26/37.43 (add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))) =
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_223 :
% 37.26/37.43 [bind(X_21, $fot(X_9)), bind(X_22, $fot(X_10)),
% 37.26/37.43 bind(X_23, $fot('==>'(X_10, A)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_225, plain,
% 37.26/37.43 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.43 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))) |
% 37.26/37.43 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))) !=
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10)) |
% 37.26/37.43 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf(~ $equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.43 add('==>'(X_10, A),
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9), X_10)))), [0],
% 37.26/37.43 $fot(add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_226, plain,
% 37.26/37.43 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.43 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))) |
% 37.26/37.43 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A)))),
% 37.26/37.43 add('==>'(X_10, A),
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9), X_10))))],
% 37.26/37.43 [refute_0_224, refute_0_225])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_227, plain,
% 37.26/37.43 (add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.43 add(X_9, add(X_10, '==>'(X_9, '==>'(X_10, A))))))],
% 37.26/37.43 [refute_0_53, refute_0_226])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_228, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_32, add(X_67, X_66)))) =
% 37.26/37.43 add(X_32, add(X_67, X_66))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_112 : [bind(X_33, $fot(add(X_67, X_66)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_229, plain,
% 37.26/37.43 (add(X_32, add(X_67, X_66)) = add(X_67, add(X_32, X_66))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_64 :
% 37.26/37.43 [bind(X_10, $fot(X_32)), bind(X_11, $fot(X_66)),
% 37.26/37.43 bind(X_9, $fot(X_67))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_230, plain,
% 37.26/37.43 (add(X_32, add(X_67, X_66)) != add(X_67, add(X_32, X_66)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_32, add(X_67, X_66)))) !=
% 37.26/37.43 add(X_32, add(X_67, X_66)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_67, add(X_32, X_66)))) =
% 37.26/37.43 add(X_32, add(X_67, X_66))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_32, add(X_67, X_66)))),
% 37.26/37.43 add(X_32, add(X_67, X_66)))), [0, 1, 1],
% 37.26/37.43 $fot(add(X_67, add(X_32, X_66)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_231, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_32, add(X_67, X_66)))) !=
% 37.26/37.43 add(X_32, add(X_67, X_66)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_67, add(X_32, X_66)))) =
% 37.26/37.43 add(X_32, add(X_67, X_66))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32, add(X_67, X_66)),
% 37.26/37.43 add(X_67, add(X_32, X_66))))],
% 37.26/37.43 [refute_0_229, refute_0_230])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_232, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_67, add(X_32, X_66)))) =
% 37.26/37.43 add(X_32, add(X_67, X_66))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_32, add(X_67, X_66)))),
% 37.26/37.43 add(X_32, add(X_67, X_66))))],
% 37.26/37.43 [refute_0_228, refute_0_231])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_233, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_32, add(X_63, X_62)))) =
% 37.26/37.43 add(X_32, add(X_63, X_62))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_112 : [bind(X_33, $fot(add(X_63, X_62)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_234, plain,
% 37.26/37.43 (add(X_62, add(X_32, X_63)) = add(X_32, add(X_63, X_62))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_28 :
% 37.26/37.43 [bind(A, $fot(X_62)), bind(X_10, $fot(X_63)),
% 37.26/37.43 bind(X_9, $fot(X_32))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_235, plain,
% 37.26/37.43 (add(X_62, add(X_32, X_63)) != add(X_32, add(X_63, X_62)) |
% 37.26/37.43 add(X_32, add(X_63, X_62)) = add(X_62, add(X_32, X_63))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_62, add(X_32, X_63)))),
% 37.26/37.43 bind(Y, $fot(add(X_32, add(X_63, X_62))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_236, plain,
% 37.26/37.43 (add(X_32, add(X_63, X_62)) = add(X_62, add(X_32, X_63))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_62, add(X_32, X_63)),
% 37.26/37.43 add(X_32, add(X_63, X_62))))],
% 37.26/37.43 [refute_0_234, refute_0_235])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_237, plain,
% 37.26/37.43 (add(X_32, add(X_63, X_62)) != add(X_62, add(X_32, X_63)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_32, add(X_63, X_62)))) !=
% 37.26/37.43 add(X_32, add(X_63, X_62)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_62, add(X_32, X_63)))) =
% 37.26/37.43 add(X_32, add(X_63, X_62))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_32, add(X_63, X_62)))),
% 37.26/37.43 add(X_32, add(X_63, X_62)))), [0, 1, 1],
% 37.26/37.43 $fot(add(X_62, add(X_32, X_63)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_238, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_32, add(X_63, X_62)))) !=
% 37.26/37.43 add(X_32, add(X_63, X_62)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_62, add(X_32, X_63)))) =
% 37.26/37.43 add(X_32, add(X_63, X_62))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32, add(X_63, X_62)),
% 37.26/37.43 add(X_62, add(X_32, X_63))))],
% 37.26/37.43 [refute_0_236, refute_0_237])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_239, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_62, add(X_32, X_63)))) =
% 37.26/37.43 add(X_32, add(X_63, X_62))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_32, add(X_63, X_62)))),
% 37.26/37.43 add(X_32, add(X_63, X_62))))],
% 37.26/37.43 [refute_0_233, refute_0_238])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_240, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_67, add(X_32, X_66)))) =
% 37.26/37.43 add(X_32, add(X_66, X_67))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_239 :
% 37.26/37.43 [bind(X_62, $fot(X_67)), bind(X_63, $fot(X_66))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_241, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_67, add(X_32, X_66)))) !=
% 37.26/37.43 add(X_32, add(X_66, X_67)) |
% 37.26/37.43 add(X_32, '==>'(X_32, add(X_67, add(X_32, X_66)))) !=
% 37.26/37.43 add(X_32, add(X_67, X_66)) |
% 37.26/37.43 add(X_32, add(X_66, X_67)) = add(X_32, add(X_67, X_66))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_67, add(X_32, X_66)))),
% 37.26/37.43 add(X_32, add(X_67, X_66)))), [0],
% 37.26/37.43 $fot(add(X_32, add(X_66, X_67)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_242, plain,
% 37.26/37.43 (add(X_32, '==>'(X_32, add(X_67, add(X_32, X_66)))) !=
% 37.26/37.43 add(X_32, add(X_67, X_66)) |
% 37.26/37.43 add(X_32, add(X_66, X_67)) = add(X_32, add(X_67, X_66))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_67, add(X_32, X_66)))),
% 37.26/37.43 add(X_32, add(X_66, X_67))))],
% 37.26/37.43 [refute_0_240, refute_0_241])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_243, plain,
% 37.26/37.43 (add(X_32, add(X_66, X_67)) = add(X_32, add(X_67, X_66))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32,
% 37.26/37.43 '==>'(X_32, add(X_67, add(X_32, X_66)))),
% 37.26/37.43 add(X_32, add(X_67, X_66))))],
% 37.26/37.43 [refute_0_232, refute_0_242])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_244, plain,
% 37.26/37.43 (add(X_32, add(X_66, X_67)) != add(X_32, add(X_67, X_66)) |
% 37.26/37.43 add(X_32, add(X_67, X_66)) = add(X_32, add(X_66, X_67))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_32, add(X_66, X_67)))),
% 37.26/37.43 bind(Y, $fot(add(X_32, add(X_67, X_66))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_245, plain,
% 37.26/37.43 (add(X_32, add(X_67, X_66)) = add(X_32, add(X_66, X_67))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_32, add(X_66, X_67)),
% 37.26/37.43 add(X_32, add(X_67, X_66))))],
% 37.26/37.43 [refute_0_243, refute_0_244])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_246, plain,
% 37.26/37.43 (add(X_10, add('==>'('==>'(X_10, A), X_9), '==>'(X_10, A))) =
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_245 :
% 37.26/37.43 [bind(X_32, $fot(X_10)), bind(X_66, $fot('==>'(X_10, A))),
% 37.26/37.43 bind(X_67, $fot('==>'('==>'(X_10, A), X_9)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_247, plain,
% 37.26/37.43 (add(add(X_68, X_69), B) = add(B, add(X_68, X_69))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_23 : [bind(A, $fot(add(X_68, X_69)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_248, plain,
% 37.26/37.43 (add(B, add(X_68, X_69)) = add(B, add(X_69, X_68))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_176 :
% 37.26/37.43 [bind(X_10, $fot(X_68)), bind(X_11, $fot(X_69)),
% 37.26/37.43 bind(X_9, $fot(B))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_249, plain,
% 37.26/37.43 (add(B, add(X_68, X_69)) != add(B, add(X_69, X_68)) |
% 37.26/37.43 add(add(X_68, X_69), B) != add(B, add(X_68, X_69)) |
% 37.26/37.43 add(add(X_68, X_69), B) = add(B, add(X_69, X_68))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(add(X_68, X_69), B),
% 37.26/37.43 add(B, add(X_68, X_69)))), [1],
% 37.26/37.43 $fot(add(B, add(X_69, X_68)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_250, plain,
% 37.26/37.43 (add(add(X_68, X_69), B) != add(B, add(X_68, X_69)) |
% 37.26/37.43 add(add(X_68, X_69), B) = add(B, add(X_69, X_68))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(B, add(X_68, X_69)),
% 37.26/37.43 add(B, add(X_69, X_68))))],
% 37.26/37.43 [refute_0_248, refute_0_249])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_251, plain,
% 37.26/37.43 (add(add(X_68, X_69), B) = add(B, add(X_69, X_68))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(add(X_68, X_69), B),
% 37.26/37.43 add(B, add(X_68, X_69))))],
% 37.26/37.43 [refute_0_247, refute_0_250])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_252, plain,
% 37.26/37.43 (add(add(X_68, X_69), B) = add(X_68, add(X_69, B))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_11 :
% 37.26/37.43 [bind(A, $fot(X_68)), bind(B, $fot(X_69)),
% 37.26/37.43 bind(C, $fot(B))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_253, plain,
% 37.26/37.43 (add(add(X_68, X_69), B) != add(B, add(X_69, X_68)) |
% 37.26/37.43 add(add(X_68, X_69), B) != add(X_68, add(X_69, B)) |
% 37.26/37.43 add(X_68, add(X_69, B)) = add(B, add(X_69, X_68))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(add(X_68, X_69), B),
% 37.26/37.43 add(B, add(X_69, X_68)))), [0],
% 37.26/37.43 $fot(add(X_68, add(X_69, B)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_254, plain,
% 37.26/37.43 (add(add(X_68, X_69), B) != add(B, add(X_69, X_68)) |
% 37.26/37.43 add(X_68, add(X_69, B)) = add(B, add(X_69, X_68))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(add(X_68, X_69), B),
% 37.26/37.43 add(X_68, add(X_69, B))))],
% 37.26/37.43 [refute_0_252, refute_0_253])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_255, plain,
% 37.26/37.43 (add(X_68, add(X_69, B)) = add(B, add(X_69, X_68))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(add(X_68, X_69), B),
% 37.26/37.43 add(B, add(X_69, X_68))))],
% 37.26/37.43 [refute_0_251, refute_0_254])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_256, plain,
% 37.26/37.43 (add(X_68, add(X_69, B)) != add(B, add(X_69, X_68)) |
% 37.26/37.43 add(B, add(X_69, X_68)) = add(X_68, add(X_69, B))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_68, add(X_69, B)))),
% 37.26/37.43 bind(Y, $fot(add(B, add(X_69, X_68))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_257, plain,
% 37.26/37.43 (add(B, add(X_69, X_68)) = add(X_68, add(X_69, B))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_68, add(X_69, B)),
% 37.26/37.43 add(B, add(X_69, X_68))))],
% 37.26/37.43 [refute_0_255, refute_0_256])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_258, plain,
% 37.26/37.43 (add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10)) =
% 37.26/37.43 add(X_10, add('==>'('==>'(X_10, A), X_9), '==>'(X_10, A)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_257 :
% 37.26/37.43 [bind(B, $fot('==>'(X_10, A))), bind(X_68, $fot(X_10)),
% 37.26/37.43 bind(X_69, $fot('==>'('==>'(X_10, A), X_9)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_259, plain,
% 37.26/37.43 (add(X_10, add('==>'('==>'(X_10, A), X_9), '==>'(X_10, A))) !=
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9))) |
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10)) !=
% 37.26/37.43 add(X_10, add('==>'('==>'(X_10, A), X_9), '==>'(X_10, A))) |
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10)) =
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_184 :
% 37.26/37.43 [bind(X,
% 37.26/37.43 $fot(add('==>'(X_10, A),
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9), X_10)))),
% 37.26/37.43 bind(Y,
% 37.26/37.43 $fot(add(X_10,
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9),
% 37.26/37.43 '==>'(X_10, A))))),
% 37.26/37.43 bind(Z,
% 37.26/37.43 $fot(add(X_10,
% 37.26/37.43 add('==>'(X_10, A),
% 37.26/37.43 '==>'('==>'(X_10, A), X_9)))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_260, plain,
% 37.26/37.43 (add(X_10, add('==>'('==>'(X_10, A), X_9), '==>'(X_10, A))) !=
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9))) |
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10)) =
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_10, A),
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9), X_10)),
% 37.26/37.43 add(X_10,
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9),
% 37.26/37.43 '==>'(X_10, A)))))],
% 37.26/37.43 [refute_0_258, refute_0_259])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_261, plain,
% 37.26/37.43 (add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10)) =
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_10,
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9), '==>'(X_10, A))),
% 37.26/37.43 add(X_10,
% 37.26/37.43 add('==>'(X_10, A),
% 37.26/37.43 '==>'('==>'(X_10, A), X_9)))))],
% 37.26/37.43 [refute_0_246, refute_0_260])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_262, plain,
% 37.26/37.43 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10)) |
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10)) !=
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9))) |
% 37.26/37.43 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9)))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf(~ $equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.43 add(X_10,
% 37.26/37.43 add('==>'(X_10, A),
% 37.26/37.43 '==>'('==>'(X_10, A), X_9))))), [0],
% 37.26/37.43 $fot(add('==>'(X_10, A),
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9), X_10)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_263, plain,
% 37.26/37.43 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.43 add('==>'(X_10, A), add('==>'('==>'(X_10, A), X_9), X_10)) |
% 37.26/37.43 add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_10, A),
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9), X_10)),
% 37.26/37.43 add(X_10,
% 37.26/37.43 add('==>'(X_10, A),
% 37.26/37.43 '==>'('==>'(X_10, A), X_9)))))],
% 37.26/37.43 [refute_0_261, refute_0_262])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_264, plain,
% 37.26/37.43 (add(A, '==>'(A, add(X_9, X_10))) =
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.43 add('==>'(X_10, A),
% 37.26/37.43 add('==>'('==>'(X_10, A), X_9), X_10))))],
% 37.26/37.43 [refute_0_227, refute_0_263])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_265, plain,
% 37.26/37.43 (add(A, '==>'(A, add(X_9, X_10))) !=
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9))) |
% 37.26/37.43 add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9))) =
% 37.26/37.43 add(A, '==>'(A, add(X_9, X_10)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(A, '==>'(A, add(X_9, X_10))))),
% 37.26/37.43 bind(Y,
% 37.26/37.43 $fot(add(X_10,
% 37.26/37.43 add('==>'(X_10, A),
% 37.26/37.43 '==>'('==>'(X_10, A), X_9)))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_266, plain,
% 37.26/37.43 (add(X_10, add('==>'(X_10, A), '==>'('==>'(X_10, A), X_9))) =
% 37.26/37.43 add(A, '==>'(A, add(X_9, X_10)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(A, '==>'(A, add(X_9, X_10))),
% 37.26/37.43 add(X_10,
% 37.26/37.43 add('==>'(X_10, A),
% 37.26/37.43 '==>'('==>'(X_10, A), X_9)))))],
% 37.26/37.43 [refute_0_264, refute_0_265])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_267, plain,
% 37.26/37.43 (add(X_251, add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))) =
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_266 :
% 37.26/37.43 [bind(A, $fot(X_9)), bind(X_10, $fot(X_251)),
% 37.26/37.43 bind(X_9, $fot(X_250))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_268, plain,
% 37.26/37.43 (add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) !=
% 37.26/37.43 add(X_251, add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))) |
% 37.26/37.43 add(X_251, add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))) !=
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251))) |
% 37.26/37.43 add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) =
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_184 :
% 37.26/37.43 [bind(X,
% 37.26/37.43 $fot(add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))))))),
% 37.26/37.43 bind(Y,
% 37.26/37.43 $fot(add(X_251,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))))),
% 37.26/37.43 bind(Z, $fot(add(X_9, '==>'(X_9, add(X_250, X_251)))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_269, plain,
% 37.26/37.43 (add(X_251, add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))) !=
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251))) |
% 37.26/37.43 add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) =
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))))),
% 37.26/37.43 add(X_251,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250)))))],
% 37.26/37.43 [refute_0_212, refute_0_268])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_270, plain,
% 37.26/37.43 (add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) =
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_251,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))),
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251)))))],
% 37.26/37.43 [refute_0_267, refute_0_269])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_271, plain,
% 37.26/37.43 (add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) !=
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251))) |
% 37.26/37.43 add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) !=
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) |
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251))) =
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251)))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))))),
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250),
% 37.26/37.43 add(X_9, '==>'(X_9, X_251))))), [0],
% 37.26/37.43 $fot(add(X_9, '==>'(X_9, add(X_250, X_251))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_272, plain,
% 37.26/37.43 (add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) !=
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) |
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251))) =
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))))),
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251)))))],
% 37.26/37.43 [refute_0_270, refute_0_271])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_273, plain, (add(X_62, X_63) = add(X_63, X_62)),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_23 : [bind(A, $fot(X_62)), bind(B, $fot(X_63))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_274, plain,
% 37.26/37.43 (add(X_62, X_63) != add(X_63, X_62) |
% 37.26/37.43 add(X_63, X_62) = add(X_62, X_63)),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_62, X_63))),
% 37.26/37.43 bind(Y, $fot(add(X_63, X_62)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_275, plain, (add(X_63, X_62) = add(X_62, X_63)),
% 37.26/37.43 inference(resolve, [$cnf($equal(add(X_62, X_63), add(X_63, X_62)))],
% 37.26/37.43 [refute_0_273, refute_0_274])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_276, plain,
% 37.26/37.43 (add(X_62, add(X_64, X_63)) != add(X_64, add(X_63, X_62)) |
% 37.26/37.43 add(X_63, X_62) != add(X_62, X_63) |
% 37.26/37.43 add(X_62, add(X_64, X_63)) = add(X_64, add(X_62, X_63))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf($equal(add(X_62, add(X_64, X_63)),
% 37.26/37.43 add(X_64, add(X_63, X_62)))), [1, 1],
% 37.26/37.43 $fot(add(X_62, X_63))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_277, plain,
% 37.26/37.43 (add(X_62, add(X_64, X_63)) != add(X_64, add(X_63, X_62)) |
% 37.26/37.43 add(X_62, add(X_64, X_63)) = add(X_64, add(X_62, X_63))),
% 37.26/37.43 inference(resolve, [$cnf($equal(add(X_63, X_62), add(X_62, X_63)))],
% 37.26/37.43 [refute_0_275, refute_0_276])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_278, plain,
% 37.26/37.43 (add(X_62, add(X_64, X_63)) = add(X_64, add(X_62, X_63))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_62, add(X_64, X_63)),
% 37.26/37.43 add(X_64, add(X_63, X_62))))],
% 37.26/37.43 [refute_0_199, refute_0_277])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_279, plain,
% 37.26/37.43 (add(X_62, add(X_64, X_63)) != add(X_64, add(X_62, X_63)) |
% 37.26/37.43 add(X_64, add(X_62, X_63)) = add(X_62, add(X_64, X_63))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_4 :
% 37.26/37.43 [bind(X, $fot(add(X_62, add(X_64, X_63)))),
% 37.26/37.43 bind(Y, $fot(add(X_64, add(X_62, X_63))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_280, plain,
% 37.26/37.43 (add(X_64, add(X_62, X_63)) = add(X_62, add(X_64, X_63))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add(X_62, add(X_64, X_63)),
% 37.26/37.43 add(X_64, add(X_62, X_63))))],
% 37.26/37.43 [refute_0_278, refute_0_279])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_281, plain,
% 37.26/37.43 (add('==>'(X_9, X_251), add(X_9, '==>'('==>'(X_251, X_9), X_250))) =
% 37.26/37.43 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_280 :
% 37.26/37.43 [bind(X_62, $fot(X_9)),
% 37.26/37.43 bind(X_63, $fot('==>'('==>'(X_251, X_9), X_250))),
% 37.26/37.43 bind(X_64, $fot('==>'(X_9, X_251)))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_282, plain,
% 37.26/37.43 (add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) =
% 37.26/37.43 add('==>'(X_9, X_251), add(X_9, '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_257 :
% 37.26/37.43 [bind(B, $fot('==>'('==>'(X_251, X_9), X_250))),
% 37.26/37.43 bind(X_68, $fot('==>'(X_9, X_251))),
% 37.26/37.43 bind(X_69, $fot(X_9))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_283, plain,
% 37.26/37.43 (add('==>'(X_9, X_251), add(X_9, '==>'('==>'(X_251, X_9), X_250))) !=
% 37.26/37.43 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250))) |
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) !=
% 37.26/37.43 add('==>'(X_9, X_251), add(X_9, '==>'('==>'(X_251, X_9), X_250))) |
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) =
% 37.26/37.43 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.43 inference(subst, [],
% 37.26/37.43 [refute_0_184 :
% 37.26/37.43 [bind(X,
% 37.26/37.43 $fot(add('==>'('==>'(X_251, X_9), X_250),
% 37.26/37.43 add(X_9, '==>'(X_9, X_251))))),
% 37.26/37.43 bind(Y,
% 37.26/37.43 $fot(add('==>'(X_9, X_251),
% 37.26/37.43 add(X_9, '==>'('==>'(X_251, X_9), X_250))))),
% 37.26/37.43 bind(Z,
% 37.26/37.43 $fot(add(X_9,
% 37.26/37.43 add('==>'(X_9, X_251),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250)))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_284, plain,
% 37.26/37.43 (add('==>'(X_9, X_251), add(X_9, '==>'('==>'(X_251, X_9), X_250))) !=
% 37.26/37.43 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250))) |
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) =
% 37.26/37.43 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'('==>'(X_251, X_9), X_250),
% 37.26/37.43 add(X_9, '==>'(X_9, X_251))),
% 37.26/37.43 add('==>'(X_9, X_251),
% 37.26/37.43 add(X_9, '==>'('==>'(X_251, X_9), X_250)))))],
% 37.26/37.43 [refute_0_282, refute_0_283])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_285, plain,
% 37.26/37.43 (add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) =
% 37.26/37.43 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'(X_9, X_251),
% 37.26/37.43 add(X_9, '==>'('==>'(X_251, X_9), X_250))),
% 37.26/37.43 add(X_9,
% 37.26/37.43 add('==>'(X_9, X_251),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250)))))],
% 37.26/37.43 [refute_0_281, refute_0_284])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_286, plain,
% 37.26/37.43 (add(X_9, '==>'(X_9, add(X_250, X_251))) !=
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) |
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) !=
% 37.26/37.43 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250))) |
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251))) =
% 37.26/37.43 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.43 introduced(tautology,
% 37.26/37.43 [equality,
% 37.26/37.43 [$cnf(~ $equal(add(X_9, '==>'(X_9, add(X_250, X_251))),
% 37.26/37.43 add(X_9,
% 37.26/37.43 add('==>'(X_9, X_251),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250))))), [0],
% 37.26/37.43 $fot(add('==>'('==>'(X_251, X_9), X_250),
% 37.26/37.43 add(X_9, '==>'(X_9, X_251))))]])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_287, plain,
% 37.26/37.43 (add(X_9, '==>'(X_9, add(X_250, X_251))) !=
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) |
% 37.26/37.43 add(X_9, '==>'(X_9, add(X_250, X_251))) =
% 37.26/37.43 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.43 inference(resolve,
% 37.26/37.43 [$cnf($equal(add('==>'('==>'(X_251, X_9), X_250),
% 37.26/37.43 add(X_9, '==>'(X_9, X_251))),
% 37.26/37.43 add(X_9,
% 37.26/37.43 add('==>'(X_9, X_251),
% 37.26/37.43 '==>'('==>'(X_251, X_9), X_250)))))],
% 37.26/37.43 [refute_0_285, refute_0_286])).
% 37.26/37.43
% 37.26/37.43 cnf(refute_0_288, plain,
% 37.26/37.43 (add(X_250,
% 37.26/37.43 add(X_251,
% 37.26/37.43 '==>'(X_250,
% 37.26/37.43 add('==>'(X_251, X_9), '==>'('==>'(X_251, X_9), X_250))))) !=
% 37.26/37.43 add('==>'('==>'(X_251, X_9), X_250), add(X_9, '==>'(X_9, X_251))) |
% 37.26/37.44 add(X_9, '==>'(X_9, add(X_250, X_251))) =
% 37.26/37.44 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_9, '==>'(X_9, add(X_250, X_251))),
% 37.26/37.44 add('==>'('==>'(X_251, X_9), X_250),
% 37.26/37.44 add(X_9, '==>'(X_9, X_251)))))],
% 37.26/37.44 [refute_0_272, refute_0_287])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_289, plain,
% 37.26/37.44 (add(X_9, '==>'(X_9, add(X_250, X_251))) =
% 37.26/37.44 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250)))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_250,
% 37.26/37.44 add(X_251,
% 37.26/37.44 '==>'(X_250,
% 37.26/37.44 add('==>'(X_251, X_9),
% 37.26/37.44 '==>'('==>'(X_251, X_9), X_250))))),
% 37.26/37.44 add('==>'('==>'(X_251, X_9), X_250),
% 37.26/37.44 add(X_9, '==>'(X_9, X_251)))))],
% 37.26/37.44 [refute_0_216, refute_0_288])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_290, plain,
% 37.26/37.44 (add(X_9, '==>'(X_9, add(X_250, X_251))) !=
% 37.26/37.44 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250))) |
% 37.26/37.44 add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(X_250, X_251)))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_4 :
% 37.26/37.44 [bind(X, $fot(add(X_9, '==>'(X_9, add(X_250, X_251))))),
% 37.26/37.44 bind(Y,
% 37.26/37.44 $fot(add(X_9,
% 37.26/37.44 add('==>'(X_9, X_251),
% 37.26/37.44 '==>'('==>'(X_251, X_9), X_250)))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_291, plain,
% 37.26/37.44 (add(X_9, add('==>'(X_9, X_251), '==>'('==>'(X_251, X_9), X_250))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(X_250, X_251)))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_9, '==>'(X_9, add(X_250, X_251))),
% 37.26/37.44 add(X_9,
% 37.26/37.44 add('==>'(X_9, X_251),
% 37.26/37.44 '==>'('==>'(X_251, X_9), X_250)))))],
% 37.26/37.44 [refute_0_289, refute_0_290])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_292, plain,
% 37.26/37.44 (add(X_9, add('==>'(X_9, A), '==>'('==>'(A, X_9), '==>'(A, X_262)))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add('==>'(A, X_262), A)))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_291 :
% 37.26/37.44 [bind(X_250, $fot('==>'(A, X_262))),
% 37.26/37.44 bind(X_251, $fot(A))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_293, plain,
% 37.26/37.44 (add(X_9, add('==>'(X_9, A), '==>'('==>'(A, X_9), '==>'(A, X_262)))) !=
% 37.26/37.44 add(X_9, '==>'(X_9, add('==>'(A, X_262), A))) |
% 37.26/37.44 add(X_9, '==>'(X_9, add('==>'(A, X_262), A))) !=
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) |
% 37.26/37.44 add(X_9, add('==>'(X_9, A), '==>'('==>'(A, X_9), '==>'(A, X_262)))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_184 :
% 37.26/37.44 [bind(X,
% 37.26/37.44 $fot(add(X_9,
% 37.26/37.44 add('==>'(X_9, A),
% 37.26/37.44 '==>'('==>'(A, X_9), '==>'(A, X_262)))))),
% 37.26/37.44 bind(Y,
% 37.26/37.44 $fot(add(X_9, '==>'(X_9, add('==>'(A, X_262), A))))),
% 37.26/37.44 bind(Z,
% 37.26/37.44 $fot(add(X_9,
% 37.26/37.44 '==>'(X_9, add(A, '==>'(A, X_262))))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_294, plain,
% 37.26/37.44 (add(X_9, '==>'(X_9, add('==>'(A, X_262), A))) !=
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) |
% 37.26/37.44 add(X_9, add('==>'(X_9, A), '==>'('==>'(A, X_9), '==>'(A, X_262)))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_9,
% 37.26/37.44 add('==>'(X_9, A),
% 37.26/37.44 '==>'('==>'(A, X_9), '==>'(A, X_262)))),
% 37.26/37.44 add(X_9, '==>'(X_9, add('==>'(A, X_262), A)))))],
% 37.26/37.44 [refute_0_292, refute_0_293])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_295, plain,
% 37.26/37.44 (add(X_9, add('==>'(X_9, A), '==>'('==>'(A, X_9), '==>'(A, X_262)))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_9, '==>'(X_9, add('==>'(A, X_262), A))),
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))))],
% 37.26/37.44 [refute_0_139, refute_0_294])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_296, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) =
% 37.26/37.44 add(X_23,
% 37.26/37.44 add('==>'(X_23, X_21),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_223 :
% 37.26/37.44 [bind(X_22,
% 37.26/37.44 $fot('==>'('==>'(X_23, X_21), add(X_109, X_21))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_297, plain,
% 37.26/37.44 (add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) =
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, '==>'(X_28, X_33)))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_53 :
% 37.26/37.44 [bind(A, $fot('==>'(X_28, X_33))), bind(X_10, $fot(X_33)),
% 37.26/37.44 bind(X_9, $fot(X_34))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_298, plain, (0 = '==>'(X_33, '==>'(X_28, X_33))),
% 37.26/37.44 inference(subst, [], [refute_0_97 : [bind(X_29, $fot(X_33))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_299, plain,
% 37.26/37.44 (0 != '==>'(X_33, '==>'(X_28, X_33)) |
% 37.26/37.44 '==>'(X_33, '==>'(X_28, X_33)) = 0),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_4 :
% 37.26/37.44 [bind(X, $fot(0)),
% 37.26/37.44 bind(Y, $fot('==>'(X_33, '==>'(X_28, X_33))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_300, plain, ('==>'(X_33, '==>'(X_28, X_33)) = 0),
% 37.26/37.44 inference(resolve, [$cnf($equal(0, '==>'(X_33, '==>'(X_28, X_33))))],
% 37.26/37.44 [refute_0_298, refute_0_299])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_301, plain,
% 37.26/37.44 (add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) !=
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, '==>'(X_28, X_33))))) |
% 37.26/37.44 '==>'(X_33, '==>'(X_28, X_33)) != 0 |
% 37.26/37.44 add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) =
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0)))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add('==>'(X_28, X_33),
% 37.26/37.44 '==>'('==>'(X_28, X_33), add(X_34, X_33))),
% 37.26/37.44 add(X_34,
% 37.26/37.44 add(X_33,
% 37.26/37.44 '==>'(X_34,
% 37.26/37.44 '==>'(X_33, '==>'(X_28, X_33))))))),
% 37.26/37.44 [1, 1, 1, 1], $fot(0)]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_302, plain,
% 37.26/37.44 (add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) !=
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, '==>'(X_28, X_33))))) |
% 37.26/37.44 add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) =
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0)))),
% 37.26/37.44 inference(resolve, [$cnf($equal('==>'(X_33, '==>'(X_28, X_33)), 0))],
% 37.26/37.44 [refute_0_300, refute_0_301])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_303, plain,
% 37.26/37.44 (add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) =
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0)))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add('==>'(X_28, X_33),
% 37.26/37.44 '==>'('==>'(X_28, X_33), add(X_34, X_33))),
% 37.26/37.44 add(X_34,
% 37.26/37.44 add(X_33,
% 37.26/37.44 '==>'(X_34, '==>'(X_33, '==>'(X_28, X_33)))))))],
% 37.26/37.44 [refute_0_297, refute_0_302])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_304, plain, ('==>'(X_34, 0) = 0),
% 37.26/37.44 inference(subst, [], [refute_0_93 : [bind(A, $fot(X_34))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_305, plain,
% 37.26/37.44 (add(X_33, '==>'(X_34, 0)) = add(X_33, '==>'(X_34, 0))),
% 37.26/37.44 introduced(tautology, [refl, [$fot(add(X_33, '==>'(X_34, 0)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_306, plain,
% 37.26/37.44 (add(X_33, '==>'(X_34, 0)) != add(X_33, '==>'(X_34, 0)) |
% 37.26/37.44 '==>'(X_34, 0) != 0 | add(X_33, '==>'(X_34, 0)) = add(X_33, 0)),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add(X_33, '==>'(X_34, 0)),
% 37.26/37.44 add(X_33, '==>'(X_34, 0)))), [1, 1], $fot(0)]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_307, plain,
% 37.26/37.44 ('==>'(X_34, 0) != 0 | add(X_33, '==>'(X_34, 0)) = add(X_33, 0)),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_33, '==>'(X_34, 0)),
% 37.26/37.44 add(X_33, '==>'(X_34, 0))))],
% 37.26/37.44 [refute_0_305, refute_0_306])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_308, plain, (add(X_33, '==>'(X_34, 0)) = add(X_33, 0)),
% 37.26/37.44 inference(resolve, [$cnf($equal('==>'(X_34, 0), 0))],
% 37.26/37.44 [refute_0_304, refute_0_307])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_309, plain,
% 37.26/37.44 (add(X_33, 0) != X_33 | add(X_33, '==>'(X_34, 0)) != add(X_33, 0) |
% 37.26/37.44 add(X_33, '==>'(X_34, 0)) = X_33),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_184 :
% 37.26/37.44 [bind(X, $fot(add(X_33, '==>'(X_34, 0)))),
% 37.26/37.44 bind(Y, $fot(add(X_33, 0))), bind(Z, $fot(X_33))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_310, plain,
% 37.26/37.44 (add(X_33, 0) != X_33 | add(X_33, '==>'(X_34, 0)) = X_33),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_33, '==>'(X_34, 0)), add(X_33, 0)))],
% 37.26/37.44 [refute_0_308, refute_0_309])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_311, plain, (add(X_33, '==>'(X_34, 0)) = X_33),
% 37.26/37.44 inference(resolve, [$cnf($equal(add(X_33, 0), X_33))],
% 37.26/37.44 [refute_0_105, refute_0_310])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_312, plain,
% 37.26/37.44 (add(X_34, add(X_33, '==>'(X_34, 0))) =
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0)))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [refl, [$fot(add(X_34, add(X_33, '==>'(X_34, 0))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_313, plain,
% 37.26/37.44 (add(X_33, '==>'(X_34, 0)) != X_33 |
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0))) !=
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0))) |
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0))) = add(X_34, X_33)),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add(X_34, add(X_33, '==>'(X_34, 0))),
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0))))), [1, 1],
% 37.26/37.44 $fot(X_33)]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_314, plain,
% 37.26/37.44 (add(X_33, '==>'(X_34, 0)) != X_33 |
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0))) = add(X_34, X_33)),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_34, add(X_33, '==>'(X_34, 0))),
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0)))))],
% 37.26/37.44 [refute_0_312, refute_0_313])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_315, plain,
% 37.26/37.44 (add(X_34, add(X_33, '==>'(X_34, 0))) = add(X_34, X_33)),
% 37.26/37.44 inference(resolve, [$cnf($equal(add(X_33, '==>'(X_34, 0)), X_33))],
% 37.26/37.44 [refute_0_311, refute_0_314])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_316, plain,
% 37.26/37.44 (add(X_34, add(X_33, '==>'(X_34, 0))) != add(X_34, X_33) |
% 37.26/37.44 add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) !=
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0))) |
% 37.26/37.44 add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) =
% 37.26/37.44 add(X_34, X_33)),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add('==>'(X_28, X_33),
% 37.26/37.44 '==>'('==>'(X_28, X_33), add(X_34, X_33))),
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0))))), [1],
% 37.26/37.44 $fot(add(X_34, X_33))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_317, plain,
% 37.26/37.44 (add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) !=
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0))) |
% 37.26/37.44 add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) =
% 37.26/37.44 add(X_34, X_33)),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_34, add(X_33, '==>'(X_34, 0))),
% 37.26/37.44 add(X_34, X_33)))], [refute_0_315, refute_0_316])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_318, plain,
% 37.26/37.44 (add('==>'(X_28, X_33), '==>'('==>'(X_28, X_33), add(X_34, X_33))) =
% 37.26/37.44 add(X_34, X_33)),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add('==>'(X_28, X_33),
% 37.26/37.44 '==>'('==>'(X_28, X_33), add(X_34, X_33))),
% 37.26/37.44 add(X_34, add(X_33, '==>'(X_34, 0)))))],
% 37.26/37.44 [refute_0_303, refute_0_317])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_319, plain,
% 37.26/37.44 (add('==>'(X_23, X_21), '==>'('==>'(X_23, X_21), add(X_109, X_21))) =
% 37.26/37.44 add(X_109, X_21)),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_318 :
% 37.26/37.44 [bind(X_28, $fot(X_23)), bind(X_33, $fot(X_21)),
% 37.26/37.44 bind(X_34, $fot(X_109))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_320, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) !=
% 37.26/37.44 add(X_23,
% 37.26/37.44 add('==>'(X_23, X_21),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) |
% 37.26/37.44 add('==>'(X_23, X_21), '==>'('==>'(X_23, X_21), add(X_109, X_21))) !=
% 37.26/37.44 add(X_109, X_21) |
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) = add(X_23, add(X_109, X_21))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))),
% 37.26/37.44 add(X_23,
% 37.26/37.44 add('==>'(X_23, X_21),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))))),
% 37.26/37.44 [1, 1], $fot(add(X_109, X_21))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_321, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) !=
% 37.26/37.44 add(X_23,
% 37.26/37.44 add('==>'(X_23, X_21),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) |
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) = add(X_23, add(X_109, X_21))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add('==>'(X_23, X_21),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21))),
% 37.26/37.44 add(X_109, X_21)))], [refute_0_319, refute_0_320])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_322, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) = add(X_23, add(X_109, X_21))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))),
% 37.26/37.44 add(X_23,
% 37.26/37.44 add('==>'(X_23, X_21),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21))))))],
% 37.26/37.44 [refute_0_296, refute_0_321])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_323, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) =
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_245 :
% 37.26/37.44 [bind(X_32, $fot(X_21)),
% 37.26/37.44 bind(X_66, $fot('==>'(X_21, X_23))),
% 37.26/37.44 bind(X_67,
% 37.26/37.44 $fot('==>'('==>'(X_23, X_21), add(X_109, X_21))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_324, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) !=
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) |
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) != add(X_23, add(X_109, X_21)) |
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) =
% 37.26/37.44 add(X_23, add(X_109, X_21))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))),
% 37.26/37.44 add(X_23, add(X_109, X_21)))), [0],
% 37.26/37.44 $fot(add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21),
% 37.26/37.44 add(X_109, X_21)))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_325, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))) != add(X_23, add(X_109, X_21)) |
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) =
% 37.26/37.44 add(X_23, add(X_109, X_21))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))),
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21))))))],
% 37.26/37.44 [refute_0_323, refute_0_324])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_326, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) =
% 37.26/37.44 add(X_23, add(X_109, X_21))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 add('==>'('==>'(X_23, X_21), add(X_109, X_21)),
% 37.26/37.44 '==>'(X_21, X_23))),
% 37.26/37.44 add(X_23, add(X_109, X_21))))],
% 37.26/37.44 [refute_0_322, refute_0_325])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_327, plain,
% 37.26/37.44 (add(X_21, '==>'(X_21, add(X_109, add(X_21, X_23)))) =
% 37.26/37.44 add(X_21, add(X_23, X_109))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_239 :
% 37.26/37.44 [bind(X_32, $fot(X_21)), bind(X_62, $fot(X_109)),
% 37.26/37.44 bind(X_63, $fot(X_23))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_328, plain,
% 37.26/37.44 (add(add(X_109, X_21), X_23) = add(X_109, add(X_21, X_23))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_11 :
% 37.26/37.44 [bind(A, $fot(X_109)), bind(B, $fot(X_21)),
% 37.26/37.44 bind(C, $fot(X_23))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_329, plain,
% 37.26/37.44 ('==>'(X_21, add(add(X_109, X_21), X_23)) =
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [refl, [$fot('==>'(X_21, add(add(X_109, X_21), X_23)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_330, plain,
% 37.26/37.44 (add(add(X_109, X_21), X_23) != add(X_109, add(X_21, X_23)) |
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23)) !=
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23)) |
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23)) =
% 37.26/37.44 '==>'(X_21, add(X_109, add(X_21, X_23)))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal('==>'(X_21, add(add(X_109, X_21), X_23)),
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23)))), [1, 1],
% 37.26/37.44 $fot(add(X_109, add(X_21, X_23)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_331, plain,
% 37.26/37.44 (add(add(X_109, X_21), X_23) != add(X_109, add(X_21, X_23)) |
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23)) =
% 37.26/37.44 '==>'(X_21, add(X_109, add(X_21, X_23)))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(X_21, add(add(X_109, X_21), X_23)),
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))))],
% 37.26/37.44 [refute_0_329, refute_0_330])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_332, plain,
% 37.26/37.44 ('==>'(X_21, add(add(X_109, X_21), X_23)) =
% 37.26/37.44 '==>'(X_21, add(X_109, add(X_21, X_23)))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(add(X_109, X_21), X_23),
% 37.26/37.44 add(X_109, add(X_21, X_23))))],
% 37.26/37.44 [refute_0_328, refute_0_331])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_333, plain,
% 37.26/37.44 (add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) =
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23)))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [refl,
% 37.26/37.44 [$fot(add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_334, plain,
% 37.26/37.44 (add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) !=
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) |
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23)) !=
% 37.26/37.44 '==>'(X_21, add(X_109, add(X_21, X_23))) |
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) =
% 37.26/37.44 add(X_21, '==>'(X_21, add(X_109, add(X_21, X_23))))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))),
% 37.26/37.44 add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))))),
% 37.26/37.44 [1, 1],
% 37.26/37.44 $fot('==>'(X_21, add(X_109, add(X_21, X_23))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_335, plain,
% 37.26/37.44 ('==>'(X_21, add(add(X_109, X_21), X_23)) !=
% 37.26/37.44 '==>'(X_21, add(X_109, add(X_21, X_23))) |
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) =
% 37.26/37.44 add(X_21, '==>'(X_21, add(X_109, add(X_21, X_23))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))),
% 37.26/37.44 add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23)))))],
% 37.26/37.44 [refute_0_333, refute_0_334])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_336, plain,
% 37.26/37.44 (add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) =
% 37.26/37.44 add(X_21, '==>'(X_21, add(X_109, add(X_21, X_23))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(X_21, add(add(X_109, X_21), X_23)),
% 37.26/37.44 '==>'(X_21, add(X_109, add(X_21, X_23)))))],
% 37.26/37.44 [refute_0_332, refute_0_335])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_337, plain,
% 37.26/37.44 (add(X_21, '==>'(X_21, add(X_109, add(X_21, X_23)))) !=
% 37.26/37.44 add(X_21, add(X_23, X_109)) |
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) !=
% 37.26/37.44 add(X_21, '==>'(X_21, add(X_109, add(X_21, X_23)))) |
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) =
% 37.26/37.44 add(X_21, add(X_23, X_109))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_184 :
% 37.26/37.44 [bind(X,
% 37.26/37.44 $fot(add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))))),
% 37.26/37.44 bind(Y,
% 37.26/37.44 $fot(add(X_21,
% 37.26/37.44 '==>'(X_21, add(X_109, add(X_21, X_23)))))),
% 37.26/37.44 bind(Z, $fot(add(X_21, add(X_23, X_109))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_338, plain,
% 37.26/37.44 (add(X_21, '==>'(X_21, add(X_109, add(X_21, X_23)))) !=
% 37.26/37.44 add(X_21, add(X_23, X_109)) |
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) =
% 37.26/37.44 add(X_21, add(X_23, X_109))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))),
% 37.26/37.44 add(X_21,
% 37.26/37.44 '==>'(X_21, add(X_109, add(X_21, X_23))))))],
% 37.26/37.44 [refute_0_336, refute_0_337])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_339, plain,
% 37.26/37.44 (add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) =
% 37.26/37.44 add(X_21, add(X_23, X_109))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 '==>'(X_21, add(X_109, add(X_21, X_23)))),
% 37.26/37.44 add(X_21, add(X_23, X_109))))],
% 37.26/37.44 [refute_0_327, refute_0_338])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_340, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) =
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23)))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_291 :
% 37.26/37.44 [bind(X_250, $fot(add(X_109, X_21))),
% 37.26/37.44 bind(X_251, $fot(X_23)), bind(X_9, $fot(X_21))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_341, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) !=
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) |
% 37.26/37.44 add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) !=
% 37.26/37.44 add(X_21, add(X_23, X_109)) |
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) =
% 37.26/37.44 add(X_21, add(X_23, X_109))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_184 :
% 37.26/37.44 [bind(X,
% 37.26/37.44 $fot(add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21),
% 37.26/37.44 add(X_109, X_21)))))),
% 37.26/37.44 bind(Y,
% 37.26/37.44 $fot(add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))))),
% 37.26/37.44 bind(Z, $fot(add(X_21, add(X_23, X_109))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_342, plain,
% 37.26/37.44 (add(X_21, '==>'(X_21, add(add(X_109, X_21), X_23))) !=
% 37.26/37.44 add(X_21, add(X_23, X_109)) |
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) =
% 37.26/37.44 add(X_21, add(X_23, X_109))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))),
% 37.26/37.44 add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23)))))],
% 37.26/37.44 [refute_0_340, refute_0_341])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_343, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) =
% 37.26/37.44 add(X_21, add(X_23, X_109))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 '==>'(X_21, add(add(X_109, X_21), X_23))),
% 37.26/37.44 add(X_21, add(X_23, X_109))))],
% 37.26/37.44 [refute_0_339, refute_0_342])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_344, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) !=
% 37.26/37.44 add(X_21, add(X_23, X_109)) |
% 37.26/37.44 add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) !=
% 37.26/37.44 add(X_23, add(X_109, X_21)) |
% 37.26/37.44 add(X_21, add(X_23, X_109)) = add(X_23, add(X_109, X_21))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))),
% 37.26/37.44 add(X_23, add(X_109, X_21)))), [0],
% 37.26/37.44 $fot(add(X_21, add(X_23, X_109)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_345, plain,
% 37.26/37.44 (add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))) !=
% 37.26/37.44 add(X_23, add(X_109, X_21)) |
% 37.26/37.44 add(X_21, add(X_23, X_109)) = add(X_23, add(X_109, X_21))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))),
% 37.26/37.44 add(X_21, add(X_23, X_109))))],
% 37.26/37.44 [refute_0_343, refute_0_344])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_346, plain,
% 37.26/37.44 (add(X_21, add(X_23, X_109)) = add(X_23, add(X_109, X_21))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21,
% 37.26/37.44 add('==>'(X_21, X_23),
% 37.26/37.44 '==>'('==>'(X_23, X_21), add(X_109, X_21)))),
% 37.26/37.44 add(X_23, add(X_109, X_21))))],
% 37.26/37.44 [refute_0_326, refute_0_345])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_347, plain,
% 37.26/37.44 (add(X_21, add(X_23, X_109)) != add(X_23, add(X_109, X_21)) |
% 37.26/37.44 add(X_23, add(X_109, X_21)) = add(X_21, add(X_23, X_109))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_4 :
% 37.26/37.44 [bind(X, $fot(add(X_21, add(X_23, X_109)))),
% 37.26/37.44 bind(Y, $fot(add(X_23, add(X_109, X_21))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_348, plain,
% 37.26/37.44 (add(X_23, add(X_109, X_21)) = add(X_21, add(X_23, X_109))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_21, add(X_23, X_109)),
% 37.26/37.44 add(X_23, add(X_109, X_21))))],
% 37.26/37.44 [refute_0_346, refute_0_347])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_349, plain,
% 37.26/37.44 (add('==>'(X_9, A), add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)) =
% 37.26/37.44 add(X_9, add('==>'(X_9, A), '==>'('==>'(A, X_9), '==>'(A, X_262))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_348 :
% 37.26/37.44 [bind(X_109, $fot('==>'('==>'(A, X_9), '==>'(A, X_262)))),
% 37.26/37.44 bind(X_21, $fot(X_9)), bind(X_23, $fot('==>'(X_9, A)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_350, plain,
% 37.26/37.44 (add(X_9, add('==>'(X_9, A), '==>'('==>'(A, X_9), '==>'(A, X_262)))) !=
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) |
% 37.26/37.44 add('==>'(X_9, A), add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)) !=
% 37.26/37.44 add(X_9, add('==>'(X_9, A), '==>'('==>'(A, X_9), '==>'(A, X_262)))) |
% 37.26/37.44 add('==>'(X_9, A), add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_184 :
% 37.26/37.44 [bind(X,
% 37.26/37.44 $fot(add('==>'(X_9, A),
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.44 X_9)))),
% 37.26/37.44 bind(Y,
% 37.26/37.44 $fot(add(X_9,
% 37.26/37.44 add('==>'(X_9, A),
% 37.26/37.44 '==>'('==>'(A, X_9), '==>'(A, X_262)))))),
% 37.26/37.44 bind(Z,
% 37.26/37.44 $fot(add(X_9,
% 37.26/37.44 '==>'(X_9, add(A, '==>'(A, X_262))))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_351, plain,
% 37.26/37.44 (add(X_9, add('==>'(X_9, A), '==>'('==>'(A, X_9), '==>'(A, X_262)))) !=
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) |
% 37.26/37.44 add('==>'(X_9, A), add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add('==>'(X_9, A),
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)),
% 37.26/37.44 add(X_9,
% 37.26/37.44 add('==>'(X_9, A),
% 37.26/37.44 '==>'('==>'(A, X_9), '==>'(A, X_262))))))],
% 37.26/37.44 [refute_0_349, refute_0_350])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_352, plain,
% 37.26/37.44 (add('==>'(X_9, A), add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_9,
% 37.26/37.44 add('==>'(X_9, A),
% 37.26/37.44 '==>'('==>'(A, X_9), '==>'(A, X_262)))),
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))))],
% 37.26/37.44 [refute_0_295, refute_0_351])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_353, plain,
% 37.26/37.44 (add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) =
% 37.26/37.44 add('==>'(X_9, A), add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_348 :
% 37.26/37.44 [bind(X_109, $fot(X_9)), bind(X_21, $fot('==>'(X_9, A))),
% 37.26/37.44 bind(X_23,
% 37.26/37.44 $fot('==>'('==>'(A, X_9), '==>'(A, X_262))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_354, plain,
% 37.26/37.44 (add('==>'(X_9, A), add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)) !=
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) |
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) !=
% 37.26/37.44 add('==>'(X_9, A), add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)) |
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_184 :
% 37.26/37.44 [bind(X,
% 37.26/37.44 $fot(add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.44 add(X_9, '==>'(X_9, A))))),
% 37.26/37.44 bind(Y,
% 37.26/37.44 $fot(add('==>'(X_9, A),
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.44 X_9)))),
% 37.26/37.44 bind(Z,
% 37.26/37.44 $fot(add(X_9,
% 37.26/37.44 '==>'(X_9, add(A, '==>'(A, X_262))))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_355, plain,
% 37.26/37.44 (add('==>'(X_9, A), add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)) !=
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) |
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.44 add(X_9, '==>'(X_9, A))),
% 37.26/37.44 add('==>'(X_9, A),
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.44 X_9))))], [refute_0_353, refute_0_354])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_356, plain,
% 37.26/37.44 (add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add('==>'(X_9, A),
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)), X_9)),
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))))],
% 37.26/37.44 [refute_0_352, refute_0_355])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_357, plain,
% 37.26/37.44 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) !=
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) |
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) !=
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) |
% 37.26/37.44 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf(~ $equal(add(X_262,
% 37.26/37.44 '==>'(X_262, add(A, '==>'(A, X_9)))),
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))))),
% 37.26/37.44 [0],
% 37.26/37.44 $fot(add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.44 add(X_9, '==>'(X_9, A))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_358, plain,
% 37.26/37.44 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) !=
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) |
% 37.26/37.44 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.44 add(X_9, '==>'(X_9, A))),
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))))],
% 37.26/37.44 [refute_0_356, refute_0_357])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_359, plain,
% 37.26/37.44 (add(X_262, '==>'(X_262, add('==>'(A, X_9), A))) !=
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)), add(X_9, '==>'(X_9, A))) |
% 37.26/37.44 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))),
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.44 add(X_9, '==>'(X_9, A)))))],
% 37.26/37.44 [refute_0_138, refute_0_358])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_360, plain,
% 37.26/37.44 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) =
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_262, '==>'(X_262, add('==>'(A, X_9), A))),
% 37.26/37.44 add('==>'('==>'(A, X_9), '==>'(A, X_262)),
% 37.26/37.44 add(X_9, '==>'(X_9, A)))))],
% 37.26/37.44 [refute_0_74, refute_0_359])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_361, plain,
% 37.26/37.44 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))) !=
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) |
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) =
% 37.26/37.44 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_4 :
% 37.26/37.44 [bind(X,
% 37.26/37.44 $fot(add(X_262,
% 37.26/37.44 '==>'(X_262, add(A, '==>'(A, X_9)))))),
% 37.26/37.44 bind(Y,
% 37.26/37.44 $fot(add(X_9,
% 37.26/37.44 '==>'(X_9, add(A, '==>'(A, X_262))))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_362, plain,
% 37.26/37.44 (add(X_9, '==>'(X_9, add(A, '==>'(A, X_262)))) =
% 37.26/37.44 add(X_262, '==>'(X_262, add(A, '==>'(A, X_9))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_262, '==>'(X_262, add(A, '==>'(A, X_9)))),
% 37.26/37.44 add(X_9, '==>'(X_9, add(A, '==>'(A, X_262))))))],
% 37.26/37.44 [refute_0_360, refute_0_361])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_363, plain,
% 37.26/37.44 (add(c, '==>'(c, add(a, '==>'(a, b)))) =
% 37.26/37.44 add(b, '==>'(b, add(a, '==>'(a, c))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_362 :
% 37.26/37.44 [bind(A, $fot(a)), bind(X_262, $fot(b)),
% 37.26/37.44 bind(X_9, $fot(c))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_364, plain,
% 37.26/37.44 (add(b, '==>'(b, add(a, '==>'(a, c)))) !=
% 37.26/37.44 add(a, '==>'(a, add(b, '==>'(b, c)))) |
% 37.26/37.44 add(c, '==>'(c, add(a, '==>'(a, b)))) !=
% 37.26/37.44 add(b, '==>'(b, add(a, '==>'(a, c)))) |
% 37.26/37.44 add(c, '==>'(c, add(a, '==>'(a, b)))) =
% 37.26/37.44 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add(c, '==>'(c, add(a, '==>'(a, b)))),
% 37.26/37.44 add(b, '==>'(b, add(a, '==>'(a, c)))))), [1],
% 37.26/37.44 $fot(add(a, '==>'(a, add(b, '==>'(b, c)))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_365, plain,
% 37.26/37.44 (add(b, '==>'(b, add(a, '==>'(a, c)))) !=
% 37.26/37.44 add(a, '==>'(a, add(b, '==>'(b, c)))) |
% 37.26/37.44 add(c, '==>'(c, add(a, '==>'(a, b)))) =
% 37.26/37.44 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(c, '==>'(c, add(a, '==>'(a, b)))),
% 37.26/37.44 add(b, '==>'(b, add(a, '==>'(a, c))))))],
% 37.26/37.44 [refute_0_363, refute_0_364])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_366, plain,
% 37.26/37.44 (add(b, '==>'(b, add(a, '==>'(a, c)))) !=
% 37.26/37.44 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(c, '==>'(c, add(a, '==>'(a, b)))),
% 37.26/37.44 add(a, '==>'(a, add(b, '==>'(b, c))))))],
% 37.26/37.44 [refute_0_365, refute_0_10])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_367, plain,
% 37.26/37.44 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 add('==>'(X_33, X_184), X_33))) =
% 37.26/37.44 add('==>'(X_33, X_184),
% 37.26/37.44 add(X_33,
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_125 :
% 37.26/37.44 [bind(X_32,
% 37.26/37.44 $fot('==>'(X_183, add(X_183, '==>'(X_184, X_33))))),
% 37.26/37.44 bind(X_34, $fot('==>'(X_33, X_184)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_368, plain,
% 37.26/37.44 ('==>'(add(X_12, '==>'(X_12, A)), X_14) =
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_41 :
% 37.26/37.44 [bind(A, $fot(X_12)), bind(B, $fot('==>'(X_12, A))),
% 37.26/37.44 bind(C, $fot(X_14))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_369, plain,
% 37.26/37.44 (add(A, '==>'(A, X_12)) = add(X_12, '==>'(X_12, A))),
% 37.26/37.44 inference(subst, [], [refute_0_1 : [bind(B, $fot(X_12))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_370, plain,
% 37.26/37.44 (add(A, '==>'(A, X_12)) != add(X_12, '==>'(X_12, A)) |
% 37.26/37.44 add(X_12, '==>'(X_12, A)) = add(A, '==>'(A, X_12))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_4 :
% 37.26/37.44 [bind(X, $fot(add(A, '==>'(A, X_12)))),
% 37.26/37.44 bind(Y, $fot(add(X_12, '==>'(X_12, A))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_371, plain,
% 37.26/37.44 (add(X_12, '==>'(X_12, A)) = add(A, '==>'(A, X_12))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(A, '==>'(A, X_12)),
% 37.26/37.44 add(X_12, '==>'(X_12, A))))],
% 37.26/37.44 [refute_0_369, refute_0_370])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_372, plain,
% 37.26/37.44 (add(X_12, '==>'(X_12, A)) != add(A, '==>'(A, X_12)) |
% 37.26/37.44 '==>'(add(X_12, '==>'(X_12, A)), X_14) !=
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14)) |
% 37.26/37.44 '==>'(add(A, '==>'(A, X_12)), X_14) =
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal('==>'(add(X_12, '==>'(X_12, A)), X_14),
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14)))), [0, 0],
% 37.26/37.44 $fot(add(A, '==>'(A, X_12)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_373, plain,
% 37.26/37.44 ('==>'(add(X_12, '==>'(X_12, A)), X_14) !=
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14)) |
% 37.26/37.44 '==>'(add(A, '==>'(A, X_12)), X_14) =
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_12, '==>'(X_12, A)),
% 37.26/37.44 add(A, '==>'(A, X_12))))],
% 37.26/37.44 [refute_0_371, refute_0_372])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_374, plain,
% 37.26/37.44 ('==>'(add(A, '==>'(A, X_12)), X_14) =
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(add(X_12, '==>'(X_12, A)), X_14),
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14))))],
% 37.26/37.44 [refute_0_368, refute_0_373])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_375, plain,
% 37.26/37.44 ('==>'(add(A, '==>'(A, X_12)), X_14) =
% 37.26/37.44 '==>'(A, '==>'('==>'(A, X_12), X_14))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_41 :
% 37.26/37.44 [bind(B, $fot('==>'(A, X_12))), bind(C, $fot(X_14))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_376, plain,
% 37.26/37.44 ('==>'(add(A, '==>'(A, X_12)), X_14) !=
% 37.26/37.44 '==>'(A, '==>'('==>'(A, X_12), X_14)) |
% 37.26/37.44 '==>'(add(A, '==>'(A, X_12)), X_14) !=
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14)) |
% 37.26/37.44 '==>'(A, '==>'('==>'(A, X_12), X_14)) =
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal('==>'(add(A, '==>'(A, X_12)), X_14),
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14)))), [0],
% 37.26/37.44 $fot('==>'(A, '==>'('==>'(A, X_12), X_14)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_377, plain,
% 37.26/37.44 ('==>'(add(A, '==>'(A, X_12)), X_14) !=
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14)) |
% 37.26/37.44 '==>'(A, '==>'('==>'(A, X_12), X_14)) =
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(add(A, '==>'(A, X_12)), X_14),
% 37.26/37.44 '==>'(A, '==>'('==>'(A, X_12), X_14))))],
% 37.26/37.44 [refute_0_375, refute_0_376])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_378, plain,
% 37.26/37.44 ('==>'(A, '==>'('==>'(A, X_12), X_14)) =
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(add(A, '==>'(A, X_12)), X_14),
% 37.26/37.44 '==>'(X_12, '==>'('==>'(X_12, A), X_14))))],
% 37.26/37.44 [refute_0_374, refute_0_377])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_379, plain,
% 37.26/37.44 ('==>'(X_45,
% 37.26/37.44 '==>'('==>'(X_45, X_46),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))) =
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_378 :
% 37.26/37.44 [bind(A, $fot(X_45)), bind(X_12, $fot(X_46)),
% 37.26/37.44 bind(X_14,
% 37.26/37.44 $fot('==>'(X_16, add(X_16, '==>'(X_45, X_46)))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_380, plain, ('==>'(add(X_12, X_13), add(X_12, X_13)) = 0),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_88 : [bind(A, $fot(add(X_12, X_13)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_381, plain,
% 37.26/37.44 ('==>'(add(X_12, X_13), add(X_12, X_13)) =
% 37.26/37.44 '==>'(X_12, '==>'(X_13, add(X_12, X_13)))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_41 :
% 37.26/37.44 [bind(A, $fot(X_12)), bind(B, $fot(X_13)),
% 37.26/37.44 bind(C, $fot(add(X_12, X_13)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_382, plain,
% 37.26/37.44 ('==>'(add(X_12, X_13), add(X_12, X_13)) != 0 |
% 37.26/37.44 '==>'(add(X_12, X_13), add(X_12, X_13)) !=
% 37.26/37.44 '==>'(X_12, '==>'(X_13, add(X_12, X_13))) |
% 37.26/37.44 '==>'(X_12, '==>'(X_13, add(X_12, X_13))) = 0),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal('==>'(add(X_12, X_13), add(X_12, X_13)), 0)),
% 37.26/37.44 [0], $fot('==>'(X_12, '==>'(X_13, add(X_12, X_13))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_383, plain,
% 37.26/37.44 ('==>'(add(X_12, X_13), add(X_12, X_13)) != 0 |
% 37.26/37.44 '==>'(X_12, '==>'(X_13, add(X_12, X_13))) = 0),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(add(X_12, X_13), add(X_12, X_13)),
% 37.26/37.44 '==>'(X_12, '==>'(X_13, add(X_12, X_13)))))],
% 37.26/37.44 [refute_0_381, refute_0_382])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_384, plain, ('==>'(X_12, '==>'(X_13, add(X_12, X_13))) = 0),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(add(X_12, X_13), add(X_12, X_13)), 0))],
% 37.26/37.44 [refute_0_380, refute_0_383])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_385, plain, ('==>'(X_15, '==>'(X_16, add(X_15, X_16))) = 0),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_384 :
% 37.26/37.44 [bind(X_12, $fot(X_15)), bind(X_13, $fot(X_16))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_386, plain, (add(X_16, X_15) = add(X_15, X_16)),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_23 : [bind(A, $fot(X_16)), bind(B, $fot(X_15))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_387, plain,
% 37.26/37.44 (add(X_16, X_15) != add(X_15, X_16) |
% 37.26/37.44 add(X_15, X_16) = add(X_16, X_15)),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_4 :
% 37.26/37.44 [bind(X, $fot(add(X_16, X_15))),
% 37.26/37.44 bind(Y, $fot(add(X_15, X_16)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_388, plain, (add(X_15, X_16) = add(X_16, X_15)),
% 37.26/37.44 inference(resolve, [$cnf($equal(add(X_16, X_15), add(X_15, X_16)))],
% 37.26/37.44 [refute_0_386, refute_0_387])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_389, plain,
% 37.26/37.44 (add(X_15, X_16) != add(X_16, X_15) |
% 37.26/37.44 '==>'(X_15, '==>'(X_16, add(X_15, X_16))) != 0 |
% 37.26/37.44 '==>'(X_15, '==>'(X_16, add(X_16, X_15))) = 0),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal('==>'(X_15, '==>'(X_16, add(X_15, X_16))),
% 37.26/37.44 0)), [0, 1, 1], $fot(add(X_16, X_15))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_390, plain,
% 37.26/37.44 ('==>'(X_15, '==>'(X_16, add(X_15, X_16))) != 0 |
% 37.26/37.44 '==>'(X_15, '==>'(X_16, add(X_16, X_15))) = 0),
% 37.26/37.44 inference(resolve, [$cnf($equal(add(X_15, X_16), add(X_16, X_15)))],
% 37.26/37.44 [refute_0_388, refute_0_389])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_391, plain, ('==>'(X_15, '==>'(X_16, add(X_16, X_15))) = 0),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(X_15, '==>'(X_16, add(X_15, X_16))), 0))],
% 37.26/37.44 [refute_0_385, refute_0_390])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_392, plain,
% 37.26/37.44 ('==>'('==>'(X_45, X_46), '==>'(X_16, add(X_16, '==>'(X_45, X_46)))) =
% 37.26/37.44 0),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_391 : [bind(X_15, $fot('==>'(X_45, X_46)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_393, plain,
% 37.26/37.44 ('==>'(X_45,
% 37.26/37.44 '==>'('==>'(X_45, X_46),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))) !=
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))) |
% 37.26/37.44 '==>'('==>'(X_45, X_46), '==>'(X_16, add(X_16, '==>'(X_45, X_46)))) !=
% 37.26/37.44 0 |
% 37.26/37.44 '==>'(X_45, 0) =
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal('==>'(X_45,
% 37.26/37.44 '==>'('==>'(X_45, X_46),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))),
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))))),
% 37.26/37.44 [0, 1], $fot(0)]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_394, plain,
% 37.26/37.44 ('==>'(X_45,
% 37.26/37.44 '==>'('==>'(X_45, X_46),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))) !=
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))) |
% 37.26/37.44 '==>'(X_45, 0) =
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'('==>'(X_45, X_46),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))), 0))],
% 37.26/37.44 [refute_0_392, refute_0_393])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_395, plain,
% 37.26/37.44 ('==>'(X_45, 0) =
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(X_45,
% 37.26/37.44 '==>'('==>'(X_45, X_46),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))),
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))))))],
% 37.26/37.44 [refute_0_379, refute_0_394])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_396, plain, ('==>'(X_45, 0) = 0),
% 37.26/37.44 inference(subst, [], [refute_0_93 : [bind(A, $fot(X_45))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_397, plain,
% 37.26/37.44 ('==>'(X_45, 0) != 0 |
% 37.26/37.44 '==>'(X_45, 0) !=
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))) |
% 37.26/37.44 0 =
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal('==>'(X_45, 0),
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))))),
% 37.26/37.44 [0], $fot(0)]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_398, plain,
% 37.26/37.44 ('==>'(X_45, 0) !=
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46))))) |
% 37.26/37.44 0 =
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))))),
% 37.26/37.44 inference(resolve, [$cnf($equal('==>'(X_45, 0), 0))],
% 37.26/37.44 [refute_0_396, refute_0_397])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_399, plain,
% 37.26/37.44 (0 =
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(X_45, 0),
% 37.26/37.44 '==>'(X_46,
% 37.26/37.44 '==>'('==>'(X_46, X_45),
% 37.26/37.44 '==>'(X_16, add(X_16, '==>'(X_45, X_46)))))))],
% 37.26/37.44 [refute_0_395, refute_0_398])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_400, plain,
% 37.26/37.44 (0 =
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_399 :
% 37.26/37.44 [bind(X_16, $fot(X_183)), bind(X_45, $fot(X_184)),
% 37.26/37.44 bind(X_46, $fot(X_33))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_401, plain,
% 37.26/37.44 (0 !=
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) |
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) = 0),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_4 :
% 37.26/37.44 [bind(X, $fot(0)),
% 37.26/37.44 bind(Y,
% 37.26/37.44 $fot('==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183,
% 37.26/37.44 add(X_183, '==>'(X_184, X_33)))))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_402, plain,
% 37.26/37.44 ('==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) = 0),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(0,
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183,
% 37.26/37.44 add(X_183, '==>'(X_184, X_33)))))))],
% 37.26/37.44 [refute_0_400, refute_0_401])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_403, plain,
% 37.26/37.44 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 add('==>'(X_33, X_184), X_33))) !=
% 37.26/37.44 add('==>'(X_33, X_184),
% 37.26/37.44 add(X_33,
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) |
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) != 0 |
% 37.26/37.44 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 add('==>'(X_33, X_184), X_33))) =
% 37.26/37.44 add('==>'(X_33, X_184), add(X_33, 0))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add('==>'(X_183,
% 37.26/37.44 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 '==>'('==>'(X_183,
% 37.26/37.44 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 add('==>'(X_33, X_184), X_33))),
% 37.26/37.44 add('==>'(X_33, X_184),
% 37.26/37.44 add(X_33,
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183,
% 37.26/37.44 add(X_183, '==>'(X_184, X_33))))))))),
% 37.26/37.44 [1, 1, 1], $fot(0)]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_404, plain,
% 37.26/37.44 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 add('==>'(X_33, X_184), X_33))) !=
% 37.26/37.44 add('==>'(X_33, X_184),
% 37.26/37.44 add(X_33,
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) |
% 37.26/37.44 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 add('==>'(X_33, X_184), X_33))) =
% 37.26/37.44 add('==>'(X_33, X_184), add(X_33, 0))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal('==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))),
% 37.26/37.44 0))], [refute_0_402, refute_0_403])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_405, plain,
% 37.26/37.44 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 add('==>'(X_33, X_184), X_33))) =
% 37.26/37.44 add('==>'(X_33, X_184), add(X_33, 0))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add('==>'(X_183,
% 37.26/37.44 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.44 add('==>'(X_33, X_184), X_33))),
% 37.26/37.44 add('==>'(X_33, X_184),
% 37.26/37.44 add(X_33,
% 37.26/37.44 '==>'(X_33,
% 37.26/37.44 '==>'('==>'(X_33, X_184),
% 37.26/37.44 '==>'(X_183,
% 37.26/37.44 add(X_183, '==>'(X_184, X_33)))))))))],
% 37.26/37.44 [refute_0_367, refute_0_404])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_406, plain,
% 37.26/37.44 (add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) =
% 37.26/37.44 add(X_11, add(X_9, '==>'(X_9, '==>'(X_11, X_149))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_34 : [bind(A, $fot('==>'(X_11, X_149)))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_407, plain,
% 37.26/37.44 (add(X_149, '==>'(X_149, add(X_11, X_9))) =
% 37.26/37.44 add(X_11, add(X_9, '==>'(X_9, '==>'(X_11, X_149))))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_125 :
% 37.26/37.44 [bind(X_32, $fot(X_149)), bind(X_33, $fot(X_9)),
% 37.26/37.44 bind(X_34, $fot(X_11))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_408, plain,
% 37.26/37.44 (add(X_149, '==>'(X_149, add(X_11, X_9))) !=
% 37.26/37.44 add(X_11, add(X_9, '==>'(X_9, '==>'(X_11, X_149)))) |
% 37.26/37.44 add(X_11, add(X_9, '==>'(X_9, '==>'(X_11, X_149)))) =
% 37.26/37.44 add(X_149, '==>'(X_149, add(X_11, X_9)))),
% 37.26/37.44 inference(subst, [],
% 37.26/37.44 [refute_0_4 :
% 37.26/37.44 [bind(X, $fot(add(X_149, '==>'(X_149, add(X_11, X_9))))),
% 37.26/37.44 bind(Y,
% 37.26/37.44 $fot(add(X_11,
% 37.26/37.44 add(X_9,
% 37.26/37.44 '==>'(X_9, '==>'(X_11, X_149))))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_409, plain,
% 37.26/37.44 (add(X_11, add(X_9, '==>'(X_9, '==>'(X_11, X_149)))) =
% 37.26/37.44 add(X_149, '==>'(X_149, add(X_11, X_9)))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_149, '==>'(X_149, add(X_11, X_9))),
% 37.26/37.44 add(X_11,
% 37.26/37.44 add(X_9, '==>'(X_9, '==>'(X_11, X_149))))))],
% 37.26/37.44 [refute_0_407, refute_0_408])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_410, plain,
% 37.26/37.44 (add(X_11, add(X_9, '==>'(X_9, '==>'(X_11, X_149)))) !=
% 37.26/37.44 add(X_149, '==>'(X_149, add(X_11, X_9))) |
% 37.26/37.44 add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) !=
% 37.26/37.44 add(X_11, add(X_9, '==>'(X_9, '==>'(X_11, X_149)))) |
% 37.26/37.44 add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) =
% 37.26/37.44 add(X_149, '==>'(X_149, add(X_11, X_9)))),
% 37.26/37.44 introduced(tautology,
% 37.26/37.44 [equality,
% 37.26/37.44 [$cnf($equal(add('==>'(X_11, X_149),
% 37.26/37.44 add('==>'('==>'(X_11, X_149), X_9), X_11)),
% 37.26/37.44 add(X_11,
% 37.26/37.44 add(X_9, '==>'(X_9, '==>'(X_11, X_149)))))), [1],
% 37.26/37.44 $fot(add(X_149, '==>'(X_149, add(X_11, X_9))))]])).
% 37.26/37.44
% 37.26/37.44 cnf(refute_0_411, plain,
% 37.26/37.44 (add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) !=
% 37.26/37.44 add(X_11, add(X_9, '==>'(X_9, '==>'(X_11, X_149)))) |
% 37.26/37.44 add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) =
% 37.26/37.44 add(X_149, '==>'(X_149, add(X_11, X_9)))),
% 37.26/37.44 inference(resolve,
% 37.26/37.44 [$cnf($equal(add(X_11,
% 37.26/37.44 add(X_9, '==>'(X_9, '==>'(X_11, X_149)))),
% 37.26/37.44 add(X_149, '==>'(X_149, add(X_11, X_9)))))],
% 37.26/37.44 [refute_0_409, refute_0_410])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_412, plain,
% 37.26/37.45 (add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_11, X_149),
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9), X_11)),
% 37.26/37.45 add(X_11,
% 37.26/37.45 add(X_9, '==>'(X_9, '==>'(X_11, X_149))))))],
% 37.26/37.45 [refute_0_406, refute_0_411])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_413, plain,
% 37.26/37.45 (add(X_11, add('==>'(X_11, X_149), '==>'('==>'(X_11, X_149), X_9))) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_266 :
% 37.26/37.45 [bind(A, $fot(X_149)), bind(X_10, $fot(X_11))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_414, plain,
% 37.26/37.45 (add(X_11, add('==>'('==>'(X_11, X_149), X_9), '==>'(X_11, X_149))) =
% 37.26/37.45 add(X_11, add('==>'(X_11, X_149), '==>'('==>'(X_11, X_149), X_9)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_245 :
% 37.26/37.45 [bind(X_32, $fot(X_11)),
% 37.26/37.45 bind(X_66, $fot('==>'(X_11, X_149))),
% 37.26/37.45 bind(X_67, $fot('==>'('==>'(X_11, X_149), X_9)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_415, plain,
% 37.26/37.45 (add(X_11, add('==>'(X_11, X_149), '==>'('==>'(X_11, X_149), X_9))) !=
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11))) |
% 37.26/37.45 add(X_11, add('==>'('==>'(X_11, X_149), X_9), '==>'(X_11, X_149))) !=
% 37.26/37.45 add(X_11, add('==>'(X_11, X_149), '==>'('==>'(X_11, X_149), X_9))) |
% 37.26/37.45 add(X_11, add('==>'('==>'(X_11, X_149), X_9), '==>'(X_11, X_149))) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_184 :
% 37.26/37.45 [bind(X,
% 37.26/37.45 $fot(add(X_11,
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9),
% 37.26/37.45 '==>'(X_11, X_149))))),
% 37.26/37.45 bind(Y,
% 37.26/37.45 $fot(add(X_11,
% 37.26/37.45 add('==>'(X_11, X_149),
% 37.26/37.45 '==>'('==>'(X_11, X_149), X_9))))),
% 37.26/37.45 bind(Z,
% 37.26/37.45 $fot(add(X_149, '==>'(X_149, add(X_9, X_11)))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_416, plain,
% 37.26/37.45 (add(X_11, add('==>'(X_11, X_149), '==>'('==>'(X_11, X_149), X_9))) !=
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11))) |
% 37.26/37.45 add(X_11, add('==>'('==>'(X_11, X_149), X_9), '==>'(X_11, X_149))) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_11,
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9),
% 37.26/37.45 '==>'(X_11, X_149))),
% 37.26/37.45 add(X_11,
% 37.26/37.45 add('==>'(X_11, X_149),
% 37.26/37.45 '==>'('==>'(X_11, X_149), X_9)))))],
% 37.26/37.45 [refute_0_414, refute_0_415])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_417, plain,
% 37.26/37.45 (add(X_11, add('==>'('==>'(X_11, X_149), X_9), '==>'(X_11, X_149))) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_11,
% 37.26/37.45 add('==>'(X_11, X_149),
% 37.26/37.45 '==>'('==>'(X_11, X_149), X_9))),
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))))],
% 37.26/37.45 [refute_0_413, refute_0_416])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_418, plain,
% 37.26/37.45 (add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) =
% 37.26/37.45 add(X_11, add('==>'('==>'(X_11, X_149), X_9), '==>'(X_11, X_149)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_257 :
% 37.26/37.45 [bind(B, $fot('==>'(X_11, X_149))), bind(X_68, $fot(X_11)),
% 37.26/37.45 bind(X_69, $fot('==>'('==>'(X_11, X_149), X_9)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_419, plain,
% 37.26/37.45 (add(X_11, add('==>'('==>'(X_11, X_149), X_9), '==>'(X_11, X_149))) !=
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11))) |
% 37.26/37.45 add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) !=
% 37.26/37.45 add(X_11, add('==>'('==>'(X_11, X_149), X_9), '==>'(X_11, X_149))) |
% 37.26/37.45 add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_184 :
% 37.26/37.45 [bind(X,
% 37.26/37.45 $fot(add('==>'(X_11, X_149),
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9), X_11)))),
% 37.26/37.45 bind(Y,
% 37.26/37.45 $fot(add(X_11,
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9),
% 37.26/37.45 '==>'(X_11, X_149))))),
% 37.26/37.45 bind(Z,
% 37.26/37.45 $fot(add(X_149, '==>'(X_149, add(X_9, X_11)))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_420, plain,
% 37.26/37.45 (add(X_11, add('==>'('==>'(X_11, X_149), X_9), '==>'(X_11, X_149))) !=
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11))) |
% 37.26/37.45 add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_11, X_149),
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9), X_11)),
% 37.26/37.45 add(X_11,
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9),
% 37.26/37.45 '==>'(X_11, X_149)))))],
% 37.26/37.45 [refute_0_418, refute_0_419])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_421, plain,
% 37.26/37.45 (add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_11,
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9),
% 37.26/37.45 '==>'(X_11, X_149))),
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))))],
% 37.26/37.45 [refute_0_417, refute_0_420])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_422, plain,
% 37.26/37.45 (add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) !=
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9))) |
% 37.26/37.45 add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) !=
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11))) |
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11))) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9)))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add('==>'(X_11, X_149),
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9), X_11)),
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9))))), [0],
% 37.26/37.45 $fot(add(X_149, '==>'(X_149, add(X_9, X_11))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_423, plain,
% 37.26/37.45 (add('==>'(X_11, X_149), add('==>'('==>'(X_11, X_149), X_9), X_11)) !=
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9))) |
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11))) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_11, X_149),
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9), X_11)),
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))))],
% 37.26/37.45 [refute_0_421, refute_0_422])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_424, plain,
% 37.26/37.45 (add(X_149, '==>'(X_149, add(X_9, X_11))) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_11, X_149),
% 37.26/37.45 add('==>'('==>'(X_11, X_149), X_9), X_11)),
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9)))))],
% 37.26/37.45 [refute_0_412, refute_0_423])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_425, plain,
% 37.26/37.45 (add(X_149, '==>'(X_149, add(X_9, X_11))) !=
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9))) |
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9))) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_4 :
% 37.26/37.45 [bind(X, $fot(add(X_149, '==>'(X_149, add(X_9, X_11))))),
% 37.26/37.45 bind(Y,
% 37.26/37.45 $fot(add(X_149, '==>'(X_149, add(X_11, X_9)))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_426, plain,
% 37.26/37.45 (add(X_149, '==>'(X_149, add(X_11, X_9))) =
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_9, X_11)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_149, '==>'(X_149, add(X_9, X_11))),
% 37.26/37.45 add(X_149, '==>'(X_149, add(X_11, X_9)))))],
% 37.26/37.45 [refute_0_424, refute_0_425])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_427, plain,
% 37.26/37.45 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add('==>'(X_33, X_184), X_33))) =
% 37.26/37.45 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add(X_33, '==>'(X_33, X_184))))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_426 :
% 37.26/37.45 [bind(X_11, $fot('==>'(X_33, X_184))),
% 37.26/37.45 bind(X_149,
% 37.26/37.45 $fot('==>'(X_183, add(X_183, '==>'(X_184, X_33))))),
% 37.26/37.45 bind(X_9, $fot(X_33))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_428, plain,
% 37.26/37.45 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add('==>'(X_33, X_184), X_33))) !=
% 37.26/37.45 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add(X_33, '==>'(X_33, X_184)))) |
% 37.26/37.45 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add('==>'(X_33, X_184), X_33))) !=
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0)) |
% 37.26/37.45 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add(X_33, '==>'(X_33, X_184)))) =
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add('==>'(X_183,
% 37.26/37.45 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183,
% 37.26/37.45 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add('==>'(X_33, X_184), X_33))),
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0)))), [0],
% 37.26/37.45 $fot(add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add(X_33, '==>'(X_33, X_184)))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_429, plain,
% 37.26/37.45 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add('==>'(X_33, X_184), X_33))) !=
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0)) |
% 37.26/37.45 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add(X_33, '==>'(X_33, X_184)))) =
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_183,
% 37.26/37.45 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add('==>'(X_33, X_184), X_33))),
% 37.26/37.45 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.45 add(X_33, '==>'(X_33, X_184))))))],
% 37.26/37.45 [refute_0_427, refute_0_428])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_430, plain, (add(0, '==>'(X_33, X_184)) = '==>'(X_33, X_184)),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_162 : [bind(A, $fot('==>'(X_33, X_184)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_431, plain,
% 37.26/37.45 (add(X_33, add(0, '==>'(X_33, X_184))) =
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184)))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [refl, [$fot(add(X_33, add(0, '==>'(X_33, X_184))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_432, plain,
% 37.26/37.45 (add(X_33, add(0, '==>'(X_33, X_184))) !=
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184))) |
% 37.26/37.45 add(0, '==>'(X_33, X_184)) != '==>'(X_33, X_184) |
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184))) =
% 37.26/37.45 add(X_33, '==>'(X_33, X_184))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add(X_33, add(0, '==>'(X_33, X_184))),
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184))))), [1, 1],
% 37.26/37.45 $fot('==>'(X_33, X_184))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_433, plain,
% 37.26/37.45 (add(0, '==>'(X_33, X_184)) != '==>'(X_33, X_184) |
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184))) =
% 37.26/37.45 add(X_33, '==>'(X_33, X_184))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_33, add(0, '==>'(X_33, X_184))),
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184)))))],
% 37.26/37.45 [refute_0_431, refute_0_432])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_434, plain,
% 37.26/37.45 (add(X_33, add(0, '==>'(X_33, X_184))) =
% 37.26/37.45 add(X_33, '==>'(X_33, X_184))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(0, '==>'(X_33, X_184)),
% 37.26/37.45 '==>'(X_33, X_184)))],
% 37.26/37.45 [refute_0_430, refute_0_433])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_435, plain,
% 37.26/37.45 (add(add(X_33, 0), '==>'(X_33, X_184)) =
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_11 :
% 37.26/37.45 [bind(A, $fot(X_33)), bind(B, $fot(0)),
% 37.26/37.45 bind(C, $fot('==>'(X_33, X_184)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_436, plain,
% 37.26/37.45 (add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) =
% 37.26/37.45 add(X_11,
% 37.26/37.45 add(X_9,
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))))))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_34 :
% 37.26/37.45 [bind(A,
% 37.26/37.45 $fot('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_437, plain,
% 37.26/37.45 ('==>'(X_28, '==>'(X_27, '==>'(X_13, add(X_27, X_13)))) =
% 37.26/37.45 '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13))))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_86 :
% 37.26/37.45 [bind(X_12, $fot(X_27)), bind(X_13, $fot(X_28)),
% 37.26/37.45 bind(X_14, $fot('==>'(X_13, add(X_27, X_13))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_438, plain, ('==>'(X_27, '==>'(X_13, add(X_27, X_13))) = 0),
% 37.26/37.45 inference(subst, [], [refute_0_384 : [bind(X_12, $fot(X_27))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_439, plain,
% 37.26/37.45 ('==>'(X_27, '==>'(X_13, add(X_27, X_13))) != 0 |
% 37.26/37.45 '==>'(X_28, '==>'(X_27, '==>'(X_13, add(X_27, X_13)))) !=
% 37.26/37.45 '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13)))) |
% 37.26/37.45 '==>'(X_28, 0) =
% 37.26/37.45 '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13))))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal('==>'(X_28,
% 37.26/37.45 '==>'(X_27, '==>'(X_13, add(X_27, X_13)))),
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_13, add(X_27, X_13)))))),
% 37.26/37.45 [0, 1], $fot(0)]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_440, plain,
% 37.26/37.45 ('==>'(X_28, '==>'(X_27, '==>'(X_13, add(X_27, X_13)))) !=
% 37.26/37.45 '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13)))) |
% 37.26/37.45 '==>'(X_28, 0) =
% 37.26/37.45 '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_27, '==>'(X_13, add(X_27, X_13))), 0))],
% 37.26/37.45 [refute_0_438, refute_0_439])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_441, plain,
% 37.26/37.45 ('==>'(X_28, 0) =
% 37.26/37.45 '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_28,
% 37.26/37.45 '==>'(X_27, '==>'(X_13, add(X_27, X_13)))),
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_13, add(X_27, X_13))))))],
% 37.26/37.45 [refute_0_437, refute_0_440])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_442, plain,
% 37.26/37.45 ('==>'(X_28, 0) != 0 |
% 37.26/37.45 '==>'(X_28, 0) !=
% 37.26/37.45 '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13)))) |
% 37.26/37.45 0 = '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13))))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal('==>'(X_28, 0),
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_13, add(X_27, X_13)))))),
% 37.26/37.45 [0], $fot(0)]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_443, plain,
% 37.26/37.45 ('==>'(X_28, 0) !=
% 37.26/37.45 '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13)))) |
% 37.26/37.45 0 = '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13))))),
% 37.26/37.45 inference(resolve, [$cnf($equal('==>'(X_28, 0), 0))],
% 37.26/37.45 [refute_0_94, refute_0_442])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_444, plain,
% 37.26/37.45 (0 = '==>'(X_27, '==>'(X_28, '==>'(X_13, add(X_27, X_13))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_28, 0),
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_13, add(X_27, X_13))))))],
% 37.26/37.45 [refute_0_441, refute_0_443])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_445, plain,
% 37.26/37.45 (0 =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_27, add(X_67, X_66)))))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_444 : [bind(X_13, $fot(add(X_67, X_66)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_446, plain,
% 37.26/37.45 (add(X_27, add(X_67, X_66)) = add(X_67, add(X_27, X_66))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_64 :
% 37.26/37.45 [bind(X_10, $fot(X_27)), bind(X_11, $fot(X_66)),
% 37.26/37.45 bind(X_9, $fot(X_67))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_447, plain,
% 37.26/37.45 (add(X_27, add(X_67, X_66)) != add(X_67, add(X_27, X_66)) |
% 37.26/37.45 0 !=
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_27, add(X_67, X_66))))) |
% 37.26/37.45 0 =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(0,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_27, add(X_67, X_66))))))),
% 37.26/37.45 [1, 1, 1, 1], $fot(add(X_67, add(X_27, X_66)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_448, plain,
% 37.26/37.45 (0 !=
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_27, add(X_67, X_66))))) |
% 37.26/37.45 0 =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_27, add(X_67, X_66)),
% 37.26/37.45 add(X_67, add(X_27, X_66))))],
% 37.26/37.45 [refute_0_446, refute_0_447])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_449, plain,
% 37.26/37.45 (0 =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(0,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_27, add(X_67, X_66)))))))],
% 37.26/37.45 [refute_0_445, refute_0_448])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_450, plain,
% 37.26/37.45 ('==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))) =
% 37.26/37.45 '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66))))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_41 :
% 37.26/37.45 [bind(A, $fot(X_67)), bind(B, $fot(X_66)),
% 37.26/37.45 bind(C, $fot(add(X_67, add(X_27, X_66))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_451, plain,
% 37.26/37.45 ('==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))) =
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [refl,
% 37.26/37.45 [$fot('==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66)))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_452, plain,
% 37.26/37.45 ('==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))) !=
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))) |
% 37.26/37.45 '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))) !=
% 37.26/37.45 '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66)))) |
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))) =
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66)))))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal('==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66)))),
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66)))))), [1, 1],
% 37.26/37.45 $fot('==>'(X_67,
% 37.26/37.45 '==>'(X_66, add(X_67, add(X_27, X_66)))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_453, plain,
% 37.26/37.45 ('==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))) !=
% 37.26/37.45 '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66)))) |
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))) =
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66)))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66)))),
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66))))))],
% 37.26/37.45 [refute_0_451, refute_0_452])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_454, plain,
% 37.26/37.45 ('==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))) =
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66)))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66))),
% 37.26/37.45 '==>'(X_67,
% 37.26/37.45 '==>'(X_66, add(X_67, add(X_27, X_66))))))],
% 37.26/37.45 [refute_0_450, refute_0_453])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_455, plain,
% 37.26/37.45 ('==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))) =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [refl,
% 37.26/37.45 [$fot('==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66))))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_456, plain,
% 37.26/37.45 ('==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))) !=
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))) |
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))) !=
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66))))) |
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))) =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66))))))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal('==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66))))),
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66))))))), [1, 1],
% 37.26/37.45 $fot('==>'(X_28,
% 37.26/37.45 '==>'(X_67,
% 37.26/37.45 '==>'(X_66, add(X_67, add(X_27, X_66))))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_457, plain,
% 37.26/37.45 ('==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66)))) !=
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66))))) |
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))) =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66))))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66))))),
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66)))))))],
% 37.26/37.45 [refute_0_455, refute_0_456])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_458, plain,
% 37.26/37.45 ('==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))) =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66))))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66)))),
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(X_67,
% 37.26/37.45 '==>'(X_66, add(X_67, add(X_27, X_66)))))))],
% 37.26/37.45 [refute_0_454, refute_0_457])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_459, plain,
% 37.26/37.45 (0 !=
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))) |
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))) !=
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66)))))) |
% 37.26/37.45 0 =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66))))))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf(~ $equal(0,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(X_67,
% 37.26/37.45 '==>'(X_66, add(X_67, add(X_27, X_66)))))))),
% 37.26/37.45 [0],
% 37.26/37.45 $fot('==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66))))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_460, plain,
% 37.26/37.45 (0 !=
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(add(X_67, X_66), add(X_67, add(X_27, X_66))))) |
% 37.26/37.45 0 =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66))))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66))))),
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(X_67,
% 37.26/37.45 '==>'(X_66, add(X_67, add(X_27, X_66))))))))],
% 37.26/37.45 [refute_0_458, refute_0_459])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_461, plain,
% 37.26/37.45 (0 =
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28, '==>'(X_67, '==>'(X_66, add(X_67, add(X_27, X_66))))))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(0,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_28,
% 37.26/37.45 '==>'(add(X_67, X_66),
% 37.26/37.45 add(X_67, add(X_27, X_66)))))))],
% 37.26/37.45 [refute_0_449, refute_0_460])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_462, plain,
% 37.26/37.45 (0 =
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_461 :
% 37.26/37.45 [bind(X_27, $fot(X_9)), bind(X_28, $fot(X_162)),
% 37.26/37.45 bind(X_66, $fot(X_163)), bind(X_67, $fot(X_164))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_463, plain,
% 37.26/37.45 (0 !=
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163)))))) |
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163)))))) = 0),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_4 :
% 37.26/37.45 [bind(X, $fot(0)),
% 37.26/37.45 bind(Y,
% 37.26/37.45 $fot('==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163))))))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_464, plain,
% 37.26/37.45 ('==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163)))))) = 0),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(0,
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163))))))))],
% 37.26/37.45 [refute_0_462, refute_0_463])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_465, plain,
% 37.26/37.45 (add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) !=
% 37.26/37.45 add(X_11,
% 37.26/37.45 add(X_9,
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163)))))))) |
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163)))))) != 0 |
% 37.26/37.45 add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) = add(X_11, add(X_9, 0))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163))))), X_9),
% 37.26/37.45 X_11)),
% 37.26/37.45 add(X_11,
% 37.26/37.45 add(X_9,
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))))))),
% 37.26/37.45 [1, 1, 1], $fot(0)]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_466, plain,
% 37.26/37.45 (add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) !=
% 37.26/37.45 add(X_11,
% 37.26/37.45 add(X_9,
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163)))))))) |
% 37.26/37.45 add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) = add(X_11, add(X_9, 0))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 0))], [refute_0_464, refute_0_465])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_467, plain,
% 37.26/37.45 (add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) = add(X_11, add(X_9, 0))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163))))), X_9),
% 37.26/37.45 X_11)),
% 37.26/37.45 add(X_11,
% 37.26/37.45 add(X_9,
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163))))))))))],
% 37.26/37.45 [refute_0_436, refute_0_466])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_468, plain,
% 37.26/37.45 (add('==>'(X_135, '==>'(X_136, X_137)),
% 37.26/37.45 add('==>'('==>'(X_135, '==>'(X_136, X_137)), X_9), X_11)) =
% 37.26/37.45 add(X_9, add('==>'(X_9, '==>'(X_135, '==>'(X_136, X_137))), X_11))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_22 :
% 37.26/37.45 [bind(A, $fot('==>'(X_135, '==>'(X_136, X_137))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_469, plain,
% 37.26/37.45 ('==>'(add(A, B), '==>'(X_27, X_29)) =
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, X_29)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_41 : [bind(C, $fot('==>'(X_27, X_29)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_470, plain,
% 37.26/37.45 ('==>'(B, '==>'(X_27, X_29)) = '==>'(X_27, '==>'(B, X_29))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_86 :
% 37.26/37.45 [bind(X_12, $fot(X_27)), bind(X_13, $fot(B)),
% 37.26/37.45 bind(X_14, $fot(X_29))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_471, plain,
% 37.26/37.45 ('==>'(B, '==>'(X_27, X_29)) != '==>'(X_27, '==>'(B, X_29)) |
% 37.26/37.45 '==>'(add(A, B), '==>'(X_27, X_29)) !=
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, X_29))) |
% 37.26/37.45 '==>'(add(A, B), '==>'(X_27, X_29)) =
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29)))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal('==>'(add(A, B), '==>'(X_27, X_29)),
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, X_29))))), [1, 1],
% 37.26/37.45 $fot('==>'(X_27, '==>'(B, X_29)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_472, plain,
% 37.26/37.45 ('==>'(add(A, B), '==>'(X_27, X_29)) !=
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, X_29))) |
% 37.26/37.45 '==>'(add(A, B), '==>'(X_27, X_29)) =
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(B, '==>'(X_27, X_29)),
% 37.26/37.45 '==>'(X_27, '==>'(B, X_29))))],
% 37.26/37.45 [refute_0_470, refute_0_471])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_473, plain,
% 37.26/37.45 ('==>'(add(A, B), '==>'(X_27, X_29)) =
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(add(A, B), '==>'(X_27, X_29)),
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, X_29)))))],
% 37.26/37.45 [refute_0_469, refute_0_472])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_474, plain,
% 37.26/37.45 ('==>'(add(A, B), '==>'(X_27, X_29)) !=
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, X_29))) |
% 37.26/37.45 '==>'(add(A, B), '==>'(X_27, X_29)) !=
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29))) |
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, X_29))) =
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29)))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal('==>'(add(A, B), '==>'(X_27, X_29)),
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29))))), [0],
% 37.26/37.45 $fot('==>'(A, '==>'(B, '==>'(X_27, X_29))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_475, plain,
% 37.26/37.45 ('==>'(add(A, B), '==>'(X_27, X_29)) !=
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29))) |
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, X_29))) =
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(add(A, B), '==>'(X_27, X_29)),
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, X_29)))))],
% 37.26/37.45 [refute_0_469, refute_0_474])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_476, plain,
% 37.26/37.45 ('==>'(A, '==>'(B, '==>'(X_27, X_29))) =
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(add(A, B), '==>'(X_27, X_29)),
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, X_29)))))],
% 37.26/37.45 [refute_0_473, refute_0_475])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_477, plain,
% 37.26/37.45 ('==>'(X_9, '==>'(X_135, '==>'(X_136, X_137))) =
% 37.26/37.45 '==>'(X_9, '==>'(X_136, '==>'(X_135, X_137)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_476 :
% 37.26/37.45 [bind(A, $fot(X_9)), bind(B, $fot(X_135)),
% 37.26/37.45 bind(X_27, $fot(X_136)), bind(X_29, $fot(X_137))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_478, plain,
% 37.26/37.45 (add('==>'(X_135, '==>'(X_136, X_137)),
% 37.26/37.45 add('==>'('==>'(X_135, '==>'(X_136, X_137)), X_9), X_11)) !=
% 37.26/37.45 add(X_9, add('==>'(X_9, '==>'(X_135, '==>'(X_136, X_137))), X_11)) |
% 37.26/37.45 '==>'(X_9, '==>'(X_135, '==>'(X_136, X_137))) !=
% 37.26/37.45 '==>'(X_9, '==>'(X_136, '==>'(X_135, X_137))) |
% 37.26/37.45 add('==>'(X_135, '==>'(X_136, X_137)),
% 37.26/37.45 add('==>'('==>'(X_135, '==>'(X_136, X_137)), X_9), X_11)) =
% 37.26/37.45 add(X_9, add('==>'(X_9, '==>'(X_136, '==>'(X_135, X_137))), X_11))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add('==>'(X_135, '==>'(X_136, X_137)),
% 37.26/37.45 add('==>'('==>'(X_135, '==>'(X_136, X_137)),
% 37.26/37.45 X_9), X_11)),
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_135, '==>'(X_136, X_137))), X_11)))),
% 37.26/37.45 [1, 1, 0],
% 37.26/37.45 $fot('==>'(X_9, '==>'(X_136, '==>'(X_135, X_137))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_479, plain,
% 37.26/37.45 (add('==>'(X_135, '==>'(X_136, X_137)),
% 37.26/37.45 add('==>'('==>'(X_135, '==>'(X_136, X_137)), X_9), X_11)) !=
% 37.26/37.45 add(X_9, add('==>'(X_9, '==>'(X_135, '==>'(X_136, X_137))), X_11)) |
% 37.26/37.45 add('==>'(X_135, '==>'(X_136, X_137)),
% 37.26/37.45 add('==>'('==>'(X_135, '==>'(X_136, X_137)), X_9), X_11)) =
% 37.26/37.45 add(X_9, add('==>'(X_9, '==>'(X_136, '==>'(X_135, X_137))), X_11))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_9, '==>'(X_135, '==>'(X_136, X_137))),
% 37.26/37.45 '==>'(X_9, '==>'(X_136, '==>'(X_135, X_137)))))],
% 37.26/37.45 [refute_0_477, refute_0_478])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_480, plain,
% 37.26/37.45 (add('==>'(X_135, '==>'(X_136, X_137)),
% 37.26/37.45 add('==>'('==>'(X_135, '==>'(X_136, X_137)), X_9), X_11)) =
% 37.26/37.45 add(X_9, add('==>'(X_9, '==>'(X_136, '==>'(X_135, X_137))), X_11))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_135, '==>'(X_136, X_137)),
% 37.26/37.45 add('==>'('==>'(X_135, '==>'(X_136, X_137)), X_9),
% 37.26/37.45 X_11)),
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9, '==>'(X_135, '==>'(X_136, X_137))),
% 37.26/37.45 X_11))))], [refute_0_468, refute_0_479])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_481, plain,
% 37.26/37.45 (add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) =
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_480 :
% 37.26/37.45 [bind(X_135, $fot(X_162)), bind(X_136, $fot(X_164)),
% 37.26/37.45 bind(X_137,
% 37.26/37.45 $fot('==>'(X_163, add(X_164, add(X_9, X_163)))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_482, plain,
% 37.26/37.45 (add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) != add(X_11, add(X_9, 0)) |
% 37.26/37.45 add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) !=
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) |
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) = add(X_11, add(X_9, 0))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163))))), X_9),
% 37.26/37.45 X_11)), add(X_11, add(X_9, 0)))), [0],
% 37.26/37.45 $fot(add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_483, plain,
% 37.26/37.45 (add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) != add(X_11, add(X_9, 0)) |
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) = add(X_11, add(X_9, 0))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163))))), X_9),
% 37.26/37.45 X_11)),
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11))))], [refute_0_481, refute_0_482])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_484, plain, (add(X_9, 0) = X_9),
% 37.26/37.45 inference(subst, [], [refute_0_104 : [bind(A, $fot(X_9))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_485, plain, (add(X_11, add(X_9, 0)) = add(X_11, add(X_9, 0))),
% 37.26/37.45 introduced(tautology, [refl, [$fot(add(X_11, add(X_9, 0)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_486, plain,
% 37.26/37.45 (add(X_11, add(X_9, 0)) != add(X_11, add(X_9, 0)) |
% 37.26/37.45 add(X_9, 0) != X_9 | add(X_11, add(X_9, 0)) = add(X_11, X_9)),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add(X_11, add(X_9, 0)),
% 37.26/37.45 add(X_11, add(X_9, 0)))), [1, 1], $fot(X_9)]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_487, plain,
% 37.26/37.45 (add(X_9, 0) != X_9 | add(X_11, add(X_9, 0)) = add(X_11, X_9)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_11, add(X_9, 0)),
% 37.26/37.45 add(X_11, add(X_9, 0))))],
% 37.26/37.45 [refute_0_485, refute_0_486])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_488, plain, (add(X_11, add(X_9, 0)) = add(X_11, X_9)),
% 37.26/37.45 inference(resolve, [$cnf($equal(add(X_9, 0), X_9))],
% 37.26/37.45 [refute_0_484, refute_0_487])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_489, plain,
% 37.26/37.45 (add(X_11, add(X_9, 0)) != add(X_11, X_9) |
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) != add(X_11, add(X_9, 0)) |
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) = add(X_11, X_9)),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)), add(X_11, add(X_9, 0)))), [1],
% 37.26/37.45 $fot(add(X_11, X_9))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_490, plain,
% 37.26/37.45 (add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) != add(X_11, add(X_9, 0)) |
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) = add(X_11, X_9)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_11, add(X_9, 0)), add(X_11, X_9)))],
% 37.26/37.45 [refute_0_488, refute_0_489])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_491, plain,
% 37.26/37.45 (add('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164, '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 X_9), X_11)) != add(X_11, add(X_9, 0)) |
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) = add(X_11, X_9)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))), X_11)),
% 37.26/37.45 add(X_11, add(X_9, 0))))],
% 37.26/37.45 [refute_0_483, refute_0_490])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_492, plain,
% 37.26/37.45 (add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) = add(X_11, X_9)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163))))),
% 37.26/37.45 add('==>'('==>'(X_162,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163))))), X_9),
% 37.26/37.45 X_11)), add(X_11, add(X_9, 0))))],
% 37.26/37.45 [refute_0_467, refute_0_491])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_493, plain, (add(0, X_11) = X_11),
% 37.26/37.45 inference(subst, [], [refute_0_162 : [bind(A, $fot(X_11))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_494, plain,
% 37.26/37.45 ('==>'(A, '==>'(B, '==>'(X_27, '==>'(X_163, add(B, add(A, X_163)))))) =
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, '==>'(X_163, add(B, add(A, X_163))))))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_476 :
% 37.26/37.45 [bind(X_29, $fot('==>'(X_163, add(B, add(A, X_163)))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_495, plain,
% 37.26/37.45 (0 =
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, '==>'(X_163, add(B, add(A, X_163))))))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_461 :
% 37.26/37.45 [bind(X_27, $fot(A)), bind(X_28, $fot(X_27)),
% 37.26/37.45 bind(X_66, $fot(X_163)), bind(X_67, $fot(B))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_496, plain,
% 37.26/37.45 (0 !=
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, '==>'(X_163, add(B, add(A, X_163)))))) |
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, '==>'(X_163, add(B, add(A, X_163)))))) =
% 37.26/37.45 0),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_4 :
% 37.26/37.45 [bind(X, $fot(0)),
% 37.26/37.45 bind(Y,
% 37.26/37.45 $fot('==>'(A,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(B,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(B, add(A, X_163))))))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_497, plain,
% 37.26/37.45 ('==>'(A, '==>'(X_27, '==>'(B, '==>'(X_163, add(B, add(A, X_163)))))) =
% 37.26/37.45 0),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(0,
% 37.26/37.45 '==>'(A,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(B,
% 37.26/37.45 '==>'(X_163, add(B, add(A, X_163))))))))],
% 37.26/37.45 [refute_0_495, refute_0_496])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_498, plain,
% 37.26/37.45 ('==>'(A,
% 37.26/37.45 '==>'(B, '==>'(X_27, '==>'(X_163, add(B, add(A, X_163)))))) !=
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, '==>'(X_163, add(B, add(A, X_163)))))) |
% 37.26/37.45 '==>'(A,
% 37.26/37.45 '==>'(X_27, '==>'(B, '==>'(X_163, add(B, add(A, X_163)))))) != 0 |
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, '==>'(X_163, add(B, add(A, X_163)))))) =
% 37.26/37.45 0),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf(~ $equal('==>'(A,
% 37.26/37.45 '==>'(B,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_163, add(B, add(A, X_163)))))), 0)),
% 37.26/37.45 [0],
% 37.26/37.45 $fot('==>'(A,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(B,
% 37.26/37.45 '==>'(X_163, add(B, add(A, X_163)))))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_499, plain,
% 37.26/37.45 ('==>'(A,
% 37.26/37.45 '==>'(B, '==>'(X_27, '==>'(X_163, add(B, add(A, X_163)))))) !=
% 37.26/37.45 '==>'(A, '==>'(X_27, '==>'(B, '==>'(X_163, add(B, add(A, X_163)))))) |
% 37.26/37.45 '==>'(A, '==>'(B, '==>'(X_27, '==>'(X_163, add(B, add(A, X_163)))))) =
% 37.26/37.45 0),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(A,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(B, '==>'(X_163, add(B, add(A, X_163)))))),
% 37.26/37.45 0))], [refute_0_497, refute_0_498])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_500, plain,
% 37.26/37.45 ('==>'(A, '==>'(B, '==>'(X_27, '==>'(X_163, add(B, add(A, X_163)))))) =
% 37.26/37.45 0),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(A,
% 37.26/37.45 '==>'(B,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(X_163, add(B, add(A, X_163)))))),
% 37.26/37.45 '==>'(A,
% 37.26/37.45 '==>'(X_27,
% 37.26/37.45 '==>'(B,
% 37.26/37.45 '==>'(X_163, add(B, add(A, X_163))))))))],
% 37.26/37.45 [refute_0_494, refute_0_499])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_501, plain,
% 37.26/37.45 ('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))) = 0),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_500 :
% 37.26/37.45 [bind(A, $fot(X_9)), bind(B, $fot(X_164)),
% 37.26/37.45 bind(X_27, $fot(X_162))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_502, plain,
% 37.26/37.45 (add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) =
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [refl,
% 37.26/37.45 [$fot(add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_503, plain,
% 37.26/37.45 (add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) !=
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) |
% 37.26/37.45 '==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))) != 0 |
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) = add(0, X_11)),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))), X_11),
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))), X_11))),
% 37.26/37.45 [1, 0], $fot(0)]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_504, plain,
% 37.26/37.45 ('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))) != 0 |
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) = add(0, X_11)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11),
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)))], [refute_0_502, refute_0_503])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_505, plain,
% 37.26/37.45 (add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) = add(0, X_11)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 0))], [refute_0_501, refute_0_504])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_506, plain,
% 37.26/37.45 (add(0, X_11) != X_11 |
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) != add(0, X_11) |
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) = X_11),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_184 :
% 37.26/37.45 [bind(X,
% 37.26/37.45 $fot(add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11))), bind(Y, $fot(add(0, X_11))),
% 37.26/37.45 bind(Z, $fot(X_11))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_507, plain,
% 37.26/37.45 (add(0, X_11) != X_11 |
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) = X_11),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11), add(0, X_11)))],
% 37.26/37.45 [refute_0_505, refute_0_506])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_508, plain,
% 37.26/37.45 (add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) = X_11),
% 37.26/37.45 inference(resolve, [$cnf($equal(add(0, X_11), X_11))],
% 37.26/37.45 [refute_0_493, refute_0_507])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_509, plain,
% 37.26/37.45 (add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) =
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11))),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [refl,
% 37.26/37.45 [$fot(add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_510, plain,
% 37.26/37.45 (add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) !=
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) |
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) != X_11 |
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) = add(X_9, X_11)),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)),
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)))), [1, 1], $fot(X_11)]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_511, plain,
% 37.26/37.45 (add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11) != X_11 |
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) = add(X_9, X_11)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))), X_11)),
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11))))], [refute_0_509, refute_0_510])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_512, plain,
% 37.26/37.45 (add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) = add(X_9, X_11)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11), X_11))], [refute_0_508, refute_0_511])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_513, plain,
% 37.26/37.45 (add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) != add(X_11, X_9) |
% 37.26/37.45 add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) != add(X_9, X_11) | add(X_9, X_11) = add(X_11, X_9)),
% 37.26/37.45 introduced(tautology,
% 37.26/37.45 [equality,
% 37.26/37.45 [$cnf($equal(add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)), add(X_11, X_9))), [0],
% 37.26/37.45 $fot(add(X_9, X_11))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_514, plain,
% 37.26/37.45 (add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162, '==>'(X_163, add(X_164, add(X_9, X_163)))))),
% 37.26/37.45 X_11)) != add(X_11, X_9) | add(X_9, X_11) = add(X_11, X_9)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))), X_11)),
% 37.26/37.45 add(X_9, X_11)))], [refute_0_512, refute_0_513])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_515, plain, (add(X_9, X_11) = add(X_11, X_9)),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(X_9,
% 37.26/37.45 add('==>'(X_9,
% 37.26/37.45 '==>'(X_164,
% 37.26/37.45 '==>'(X_162,
% 37.26/37.45 '==>'(X_163,
% 37.26/37.45 add(X_164, add(X_9, X_163)))))), X_11)),
% 37.26/37.45 add(X_11, X_9)))], [refute_0_492, refute_0_514])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_516, plain,
% 37.26/37.45 (add(X_9, X_11) != add(X_11, X_9) | add(X_11, X_9) = add(X_9, X_11)),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_4 :
% 37.26/37.45 [bind(X, $fot(add(X_9, X_11))),
% 37.26/37.45 bind(Y, $fot(add(X_11, X_9)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_517, plain, (add(X_11, X_9) = add(X_9, X_11)),
% 37.26/37.45 inference(resolve, [$cnf($equal(add(X_9, X_11), add(X_11, X_9)))],
% 37.26/37.45 [refute_0_515, refute_0_516])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_518, plain,
% 37.26/37.45 (add('==>'(X_33, X_184), add(X_33, 0)) =
% 37.26/37.45 add(add(X_33, 0), '==>'(X_33, X_184))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_517 :
% 37.26/37.45 [bind(X_11, $fot('==>'(X_33, X_184))),
% 37.26/37.45 bind(X_9, $fot(add(X_33, 0)))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_519, plain,
% 37.26/37.45 (add(add(X_33, 0), '==>'(X_33, X_184)) !=
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184))) |
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0)) !=
% 37.26/37.45 add(add(X_33, 0), '==>'(X_33, X_184)) |
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0)) =
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184)))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_184 :
% 37.26/37.45 [bind(X, $fot(add('==>'(X_33, X_184), add(X_33, 0)))),
% 37.26/37.45 bind(Y, $fot(add(add(X_33, 0), '==>'(X_33, X_184)))),
% 37.26/37.45 bind(Z, $fot(add(X_33, add(0, '==>'(X_33, X_184)))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_520, plain,
% 37.26/37.45 (add(add(X_33, 0), '==>'(X_33, X_184)) !=
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184))) |
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0)) =
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_33, X_184), add(X_33, 0)),
% 37.26/37.45 add(add(X_33, 0), '==>'(X_33, X_184))))],
% 37.26/37.45 [refute_0_518, refute_0_519])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_521, plain,
% 37.26/37.45 (add('==>'(X_33, X_184), add(X_33, 0)) =
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184)))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add(add(X_33, 0), '==>'(X_33, X_184)),
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184)))))],
% 37.26/37.45 [refute_0_435, refute_0_520])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_522, plain,
% 37.26/37.45 (add(X_33, add(0, '==>'(X_33, X_184))) !=
% 37.26/37.45 add(X_33, '==>'(X_33, X_184)) |
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0)) !=
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184))) |
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0)) =
% 37.26/37.45 add(X_33, '==>'(X_33, X_184))),
% 37.26/37.45 inference(subst, [],
% 37.26/37.45 [refute_0_184 :
% 37.26/37.45 [bind(X, $fot(add('==>'(X_33, X_184), add(X_33, 0)))),
% 37.26/37.45 bind(Y, $fot(add(X_33, add(0, '==>'(X_33, X_184))))),
% 37.26/37.45 bind(Z, $fot(add(X_33, '==>'(X_33, X_184))))]])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_523, plain,
% 37.26/37.45 (add(X_33, add(0, '==>'(X_33, X_184))) !=
% 37.26/37.45 add(X_33, '==>'(X_33, X_184)) |
% 37.26/37.45 add('==>'(X_33, X_184), add(X_33, 0)) =
% 37.26/37.45 add(X_33, '==>'(X_33, X_184))),
% 37.26/37.45 inference(resolve,
% 37.26/37.45 [$cnf($equal(add('==>'(X_33, X_184), add(X_33, 0)),
% 37.26/37.45 add(X_33, add(0, '==>'(X_33, X_184)))))],
% 37.26/37.45 [refute_0_521, refute_0_522])).
% 37.26/37.45
% 37.26/37.45 cnf(refute_0_524, plain,
% 37.26/37.45 (add('==>'(X_33, X_184), add(X_33, 0)) =
% 37.26/37.45 add(X_33, '==>'(X_33, X_184))),
% 37.26/37.45 inference(resolve,
% 37.26/37.46 [$cnf($equal(add(X_33, add(0, '==>'(X_33, X_184))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184))))],
% 37.26/37.46 [refute_0_434, refute_0_523])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_525, plain,
% 37.26/37.46 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)))) !=
% 37.26/37.46 add('==>'(X_33, X_184), add(X_33, 0)) |
% 37.26/37.46 add('==>'(X_33, X_184), add(X_33, 0)) !=
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)) |
% 37.26/37.46 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)))) = add(X_33, '==>'(X_33, X_184))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf(~ $equal(add('==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)))), [0],
% 37.26/37.46 $fot(add('==>'(X_33, X_184), add(X_33, 0)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_526, plain,
% 37.26/37.46 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)))) !=
% 37.26/37.46 add('==>'(X_33, X_184), add(X_33, 0)) |
% 37.26/37.46 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)))) = add(X_33, '==>'(X_33, X_184))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(add('==>'(X_33, X_184), add(X_33, 0)),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184))))],
% 37.26/37.46 [refute_0_524, refute_0_525])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_527, plain,
% 37.26/37.46 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add('==>'(X_33, X_184), X_33))) !=
% 37.26/37.46 add('==>'(X_33, X_184), add(X_33, 0)) |
% 37.26/37.46 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)))) = add(X_33, '==>'(X_33, X_184))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(add('==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)))),
% 37.26/37.46 add('==>'(X_33, X_184), add(X_33, 0))))],
% 37.26/37.46 [refute_0_429, refute_0_526])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_528, plain,
% 37.26/37.46 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add(X_33, '==>'(X_33, X_184)))) = add(X_33, '==>'(X_33, X_184))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(add('==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.46 add('==>'(X_33, X_184), X_33))),
% 37.26/37.46 add('==>'(X_33, X_184), add(X_33, 0))))],
% 37.26/37.46 [refute_0_405, refute_0_527])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_529, plain,
% 37.26/37.46 ('==>'(X_28, '==>'(X_27, '==>'('==>'(X_27, X_14), X_14))) =
% 37.26/37.46 '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_86 :
% 37.26/37.46 [bind(X_12, $fot(X_27)), bind(X_13, $fot(X_28)),
% 37.26/37.46 bind(X_14, $fot('==>'('==>'(X_27, X_14), X_14)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_530, plain,
% 37.26/37.46 ('==>'(add('==>'(X_13, X_14), X_13), X_14) =
% 37.26/37.46 '==>'('==>'(X_13, X_14), '==>'(X_13, X_14))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_41 :
% 37.26/37.46 [bind(A, $fot('==>'(X_13, X_14))), bind(B, $fot(X_13)),
% 37.26/37.46 bind(C, $fot(X_14))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_531, plain, ('==>'('==>'(X_13, X_14), '==>'(X_13, X_14)) = 0),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_88 : [bind(A, $fot('==>'(X_13, X_14)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_532, plain,
% 37.26/37.46 ('==>'(add('==>'(X_13, X_14), X_13), X_14) !=
% 37.26/37.46 '==>'('==>'(X_13, X_14), '==>'(X_13, X_14)) |
% 37.26/37.46 '==>'('==>'(X_13, X_14), '==>'(X_13, X_14)) != 0 |
% 37.26/37.46 '==>'(add('==>'(X_13, X_14), X_13), X_14) = 0),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf(~ $equal('==>'(add('==>'(X_13, X_14), X_13), X_14),
% 37.26/37.46 0)), [0],
% 37.26/37.46 $fot('==>'('==>'(X_13, X_14), '==>'(X_13, X_14)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_533, plain,
% 37.26/37.46 ('==>'(add('==>'(X_13, X_14), X_13), X_14) !=
% 37.26/37.46 '==>'('==>'(X_13, X_14), '==>'(X_13, X_14)) |
% 37.26/37.46 '==>'(add('==>'(X_13, X_14), X_13), X_14) = 0),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'('==>'(X_13, X_14), '==>'(X_13, X_14)),
% 37.26/37.46 0))], [refute_0_531, refute_0_532])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_534, plain, ('==>'(add('==>'(X_13, X_14), X_13), X_14) = 0),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(add('==>'(X_13, X_14), X_13), X_14),
% 37.26/37.46 '==>'('==>'(X_13, X_14), '==>'(X_13, X_14))))],
% 37.26/37.46 [refute_0_530, refute_0_533])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_535, plain,
% 37.26/37.46 ('==>'(X_13, '==>'(X_12, X_14)) != '==>'(X_12, '==>'(X_13, X_14)) |
% 37.26/37.46 '==>'(X_12, '==>'(X_13, X_14)) = '==>'(X_13, '==>'(X_12, X_14))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_4 :
% 37.26/37.46 [bind(X, $fot('==>'(X_13, '==>'(X_12, X_14)))),
% 37.26/37.46 bind(Y, $fot('==>'(X_12, '==>'(X_13, X_14))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_536, plain,
% 37.26/37.46 ('==>'(X_12, '==>'(X_13, X_14)) = '==>'(X_13, '==>'(X_12, X_14))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_13, '==>'(X_12, X_14)),
% 37.26/37.46 '==>'(X_12, '==>'(X_13, X_14))))],
% 37.26/37.46 [refute_0_86, refute_0_535])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_537, plain,
% 37.26/37.46 ('==>'('==>'(X_13, X_14), '==>'(X_13, X_14)) =
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_536 : [bind(X_12, $fot('==>'(X_13, X_14)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_538, plain,
% 37.26/37.46 ('==>'(add('==>'(X_13, X_14), X_13), X_14) !=
% 37.26/37.46 '==>'('==>'(X_13, X_14), '==>'(X_13, X_14)) |
% 37.26/37.46 '==>'('==>'(X_13, X_14), '==>'(X_13, X_14)) !=
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14)) |
% 37.26/37.46 '==>'(add('==>'(X_13, X_14), X_13), X_14) =
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_184 :
% 37.26/37.46 [bind(X, $fot('==>'(add('==>'(X_13, X_14), X_13), X_14))),
% 37.26/37.46 bind(Y, $fot('==>'('==>'(X_13, X_14), '==>'(X_13, X_14)))),
% 37.26/37.46 bind(Z,
% 37.26/37.46 $fot('==>'(X_13,
% 37.26/37.46 '==>'('==>'(X_13, X_14), X_14))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_539, plain,
% 37.26/37.46 ('==>'('==>'(X_13, X_14), '==>'(X_13, X_14)) !=
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14)) |
% 37.26/37.46 '==>'(add('==>'(X_13, X_14), X_13), X_14) =
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(add('==>'(X_13, X_14), X_13), X_14),
% 37.26/37.46 '==>'('==>'(X_13, X_14), '==>'(X_13, X_14))))],
% 37.26/37.46 [refute_0_530, refute_0_538])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_540, plain,
% 37.26/37.46 ('==>'(add('==>'(X_13, X_14), X_13), X_14) =
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'('==>'(X_13, X_14), '==>'(X_13, X_14)),
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14))))],
% 37.26/37.46 [refute_0_537, refute_0_539])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_541, plain,
% 37.26/37.46 ('==>'(add('==>'(X_13, X_14), X_13), X_14) != 0 |
% 37.26/37.46 '==>'(add('==>'(X_13, X_14), X_13), X_14) !=
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14)) |
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14)) = 0),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal('==>'(add('==>'(X_13, X_14), X_13), X_14),
% 37.26/37.46 0)), [0],
% 37.26/37.46 $fot('==>'(X_13, '==>'('==>'(X_13, X_14), X_14)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_542, plain,
% 37.26/37.46 ('==>'(add('==>'(X_13, X_14), X_13), X_14) != 0 |
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14)) = 0),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(add('==>'(X_13, X_14), X_13), X_14),
% 37.26/37.46 '==>'(X_13, '==>'('==>'(X_13, X_14), X_14))))],
% 37.26/37.46 [refute_0_540, refute_0_541])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_543, plain, ('==>'(X_13, '==>'('==>'(X_13, X_14), X_14)) = 0),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(add('==>'(X_13, X_14), X_13), X_14), 0))],
% 37.26/37.46 [refute_0_534, refute_0_542])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_544, plain, ('==>'(X_27, '==>'('==>'(X_27, X_14), X_14)) = 0),
% 37.26/37.46 inference(subst, [], [refute_0_543 : [bind(X_13, $fot(X_27))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_545, plain,
% 37.26/37.46 ('==>'(X_27, '==>'('==>'(X_27, X_14), X_14)) != 0 |
% 37.26/37.46 '==>'(X_28, '==>'(X_27, '==>'('==>'(X_27, X_14), X_14))) !=
% 37.26/37.46 '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14))) |
% 37.26/37.46 '==>'(X_28, 0) =
% 37.26/37.46 '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal('==>'(X_28,
% 37.26/37.46 '==>'(X_27, '==>'('==>'(X_27, X_14), X_14))),
% 37.26/37.46 '==>'(X_27,
% 37.26/37.46 '==>'(X_28, '==>'('==>'(X_27, X_14), X_14))))),
% 37.26/37.46 [0, 1], $fot(0)]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_546, plain,
% 37.26/37.46 ('==>'(X_28, '==>'(X_27, '==>'('==>'(X_27, X_14), X_14))) !=
% 37.26/37.46 '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14))) |
% 37.26/37.46 '==>'(X_28, 0) =
% 37.26/37.46 '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_27, '==>'('==>'(X_27, X_14), X_14)),
% 37.26/37.46 0))], [refute_0_544, refute_0_545])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_547, plain,
% 37.26/37.46 ('==>'(X_28, 0) =
% 37.26/37.46 '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_28,
% 37.26/37.46 '==>'(X_27, '==>'('==>'(X_27, X_14), X_14))),
% 37.26/37.46 '==>'(X_27,
% 37.26/37.46 '==>'(X_28, '==>'('==>'(X_27, X_14), X_14)))))],
% 37.26/37.46 [refute_0_529, refute_0_546])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_548, plain,
% 37.26/37.46 ('==>'(X_28, 0) != 0 |
% 37.26/37.46 '==>'(X_28, 0) !=
% 37.26/37.46 '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14))) |
% 37.26/37.46 0 = '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal('==>'(X_28, 0),
% 37.26/37.46 '==>'(X_27,
% 37.26/37.46 '==>'(X_28, '==>'('==>'(X_27, X_14), X_14))))),
% 37.26/37.46 [0], $fot(0)]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_549, plain,
% 37.26/37.46 ('==>'(X_28, 0) !=
% 37.26/37.46 '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14))) |
% 37.26/37.46 0 = '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 inference(resolve, [$cnf($equal('==>'(X_28, 0), 0))],
% 37.26/37.46 [refute_0_94, refute_0_548])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_550, plain,
% 37.26/37.46 (0 = '==>'(X_27, '==>'(X_28, '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_28, 0),
% 37.26/37.46 '==>'(X_27,
% 37.26/37.46 '==>'(X_28, '==>'('==>'(X_27, X_14), X_14)))))],
% 37.26/37.46 [refute_0_547, refute_0_549])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_551, plain,
% 37.26/37.46 (0 =
% 37.26/37.46 '==>'(X_27,
% 37.26/37.46 '==>'('==>'(X_27, X_46), '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_550 : [bind(X_28, $fot('==>'(X_27, X_46)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_552, plain,
% 37.26/37.46 ('==>'(X_27,
% 37.26/37.46 '==>'('==>'(X_27, X_46), '==>'('==>'(X_27, X_14), X_14))) =
% 37.26/37.46 '==>'(X_46,
% 37.26/37.46 '==>'('==>'(X_46, X_27), '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_378 :
% 37.26/37.46 [bind(A, $fot(X_27)), bind(X_12, $fot(X_46)),
% 37.26/37.46 bind(X_14, $fot('==>'('==>'(X_27, X_14), X_14)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_553, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_27,
% 37.26/37.46 '==>'('==>'(X_27, X_46), '==>'('==>'(X_27, X_14), X_14))) |
% 37.26/37.46 '==>'(X_27,
% 37.26/37.46 '==>'('==>'(X_27, X_46), '==>'('==>'(X_27, X_14), X_14))) !=
% 37.26/37.46 '==>'(X_46,
% 37.26/37.46 '==>'('==>'(X_46, X_27), '==>'('==>'(X_27, X_14), X_14))) |
% 37.26/37.46 0 =
% 37.26/37.46 '==>'(X_46,
% 37.26/37.46 '==>'('==>'(X_46, X_27), '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf(~ $equal(0,
% 37.26/37.46 '==>'(X_46,
% 37.26/37.46 '==>'('==>'(X_46, X_27),
% 37.26/37.46 '==>'('==>'(X_27, X_14), X_14))))), [0],
% 37.26/37.46 $fot('==>'(X_27,
% 37.26/37.46 '==>'('==>'(X_27, X_46),
% 37.26/37.46 '==>'('==>'(X_27, X_14), X_14))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_554, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_27,
% 37.26/37.46 '==>'('==>'(X_27, X_46), '==>'('==>'(X_27, X_14), X_14))) |
% 37.26/37.46 0 =
% 37.26/37.46 '==>'(X_46,
% 37.26/37.46 '==>'('==>'(X_46, X_27), '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_27,
% 37.26/37.46 '==>'('==>'(X_27, X_46),
% 37.26/37.46 '==>'('==>'(X_27, X_14), X_14))),
% 37.26/37.46 '==>'(X_46,
% 37.26/37.46 '==>'('==>'(X_46, X_27),
% 37.26/37.46 '==>'('==>'(X_27, X_14), X_14)))))],
% 37.26/37.46 [refute_0_552, refute_0_553])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_555, plain,
% 37.26/37.46 (0 =
% 37.26/37.46 '==>'(X_46,
% 37.26/37.46 '==>'('==>'(X_46, X_27), '==>'('==>'(X_27, X_14), X_14)))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(0,
% 37.26/37.46 '==>'(X_27,
% 37.26/37.46 '==>'('==>'(X_27, X_46),
% 37.26/37.46 '==>'('==>'(X_27, X_14), X_14)))))],
% 37.26/37.46 [refute_0_551, refute_0_554])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_556, plain,
% 37.26/37.46 (0 =
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'('==>'(X_79, '==>'(X_28, X_79)),
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_555 :
% 37.26/37.46 [bind(X_14, $fot(X_77)),
% 37.26/37.46 bind(X_27, $fot('==>'(X_28, X_79))),
% 37.26/37.46 bind(X_46, $fot(X_79))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_557, plain, (0 = '==>'(X_79, '==>'(X_28, X_79))),
% 37.26/37.46 inference(subst, [], [refute_0_97 : [bind(X_29, $fot(X_79))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_558, plain,
% 37.26/37.46 (0 != '==>'(X_79, '==>'(X_28, X_79)) |
% 37.26/37.46 '==>'(X_79, '==>'(X_28, X_79)) = 0),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_4 :
% 37.26/37.46 [bind(X, $fot(0)),
% 37.26/37.46 bind(Y, $fot('==>'(X_79, '==>'(X_28, X_79))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_559, plain, ('==>'(X_79, '==>'(X_28, X_79)) = 0),
% 37.26/37.46 inference(resolve, [$cnf($equal(0, '==>'(X_79, '==>'(X_28, X_79))))],
% 37.26/37.46 [refute_0_557, refute_0_558])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_560, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'('==>'(X_79, '==>'(X_28, X_79)),
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) |
% 37.26/37.46 '==>'(X_79, '==>'(X_28, X_79)) != 0 |
% 37.26/37.46 0 =
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal(0,
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'('==>'(X_79, '==>'(X_28, X_79)),
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77),
% 37.26/37.46 X_77))))), [1, 1, 0], $fot(0)]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_561, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'('==>'(X_79, '==>'(X_28, X_79)),
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) |
% 37.26/37.46 0 =
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))),
% 37.26/37.46 inference(resolve, [$cnf($equal('==>'(X_79, '==>'(X_28, X_79)), 0))],
% 37.26/37.46 [refute_0_559, refute_0_560])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_562, plain,
% 37.26/37.46 (0 =
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(0,
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'('==>'(X_79, '==>'(X_28, X_79)),
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))))],
% 37.26/37.46 [refute_0_556, refute_0_561])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_563, plain, ('==>'(0, A) = A),
% 37.26/37.46 inference(canonicalize, [], [normalize_0_16])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_564, plain,
% 37.26/37.46 ('==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77)) =
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77)),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_563 :
% 37.26/37.46 [bind(A,
% 37.26/37.46 $fot('==>'('==>'('==>'(X_28, X_79), X_77),
% 37.26/37.46 X_77)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_565, plain,
% 37.26/37.46 ('==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) =
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [refl,
% 37.26/37.46 [$fot('==>'(X_79,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77),
% 37.26/37.46 X_77))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_566, plain,
% 37.26/37.46 ('==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) !=
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) |
% 37.26/37.46 '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77)) !=
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77) |
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) =
% 37.26/37.46 '==>'(X_79, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal('==>'(X_79,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77))),
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77),
% 37.26/37.46 X_77))))), [1, 1],
% 37.26/37.46 $fot('==>'('==>'('==>'(X_28, X_79), X_77), X_77))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_567, plain,
% 37.26/37.46 ('==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77)) !=
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77) |
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) =
% 37.26/37.46 '==>'(X_79, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_79,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77))),
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))))],
% 37.26/37.46 [refute_0_565, refute_0_566])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_568, plain,
% 37.26/37.46 ('==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) =
% 37.26/37.46 '==>'(X_79, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(0,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77)),
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))],
% 37.26/37.46 [refute_0_564, refute_0_567])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_569, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) |
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) !=
% 37.26/37.46 '==>'(X_79, '==>'('==>'('==>'(X_28, X_79), X_77), X_77)) |
% 37.26/37.46 0 = '==>'(X_79, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf(~ $equal(0,
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))),
% 37.26/37.46 [0],
% 37.26/37.46 $fot('==>'(X_79,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77),
% 37.26/37.46 X_77))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_570, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_79, '==>'(0, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))) |
% 37.26/37.46 0 = '==>'(X_79, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_79,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77))),
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77))))],
% 37.26/37.46 [refute_0_568, refute_0_569])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_571, plain,
% 37.26/37.46 (0 = '==>'(X_79, '==>'('==>'('==>'(X_28, X_79), X_77), X_77))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(0,
% 37.26/37.46 '==>'(X_79,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'('==>'('==>'(X_28, X_79), X_77), X_77)))))],
% 37.26/37.46 [refute_0_562, refute_0_570])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_572, plain,
% 37.26/37.46 (0 =
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'('==>'('==>'(X_255, X_257),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_571 :
% 37.26/37.46 [bind(X_28, $fot(X_255)),
% 37.26/37.46 bind(X_77,
% 37.26/37.46 $fot('==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 bind(X_79, $fot(X_257))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_573, plain,
% 37.26/37.46 ('==>'('==>'(X_255, X_257),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))) = 0),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_391 : [bind(X_15, $fot('==>'(X_255, X_257)))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_574, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'('==>'('==>'(X_255, X_257),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) |
% 37.26/37.46 '==>'('==>'(X_255, X_257),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))) != 0 |
% 37.26/37.46 0 =
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal(0,
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'('==>'('==>'(X_255, X_257),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))),
% 37.26/37.46 '==>'(X_16,
% 37.26/37.46 add(X_16, '==>'(X_255, X_257))))))),
% 37.26/37.46 [1, 1, 0], $fot(0)]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_575, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'('==>'('==>'(X_255, X_257),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) |
% 37.26/37.46 0 =
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'('==>'(X_255, X_257),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))), 0))],
% 37.26/37.46 [refute_0_573, refute_0_574])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_576, plain,
% 37.26/37.46 (0 =
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(0,
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'('==>'('==>'(X_255, X_257),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))))],
% 37.26/37.46 [refute_0_572, refute_0_575])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_577, plain,
% 37.26/37.46 ('==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))) =
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_563 :
% 37.26/37.46 [bind(A,
% 37.26/37.46 $fot('==>'(X_16,
% 37.26/37.46 add(X_16, '==>'(X_255, X_257)))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_578, plain,
% 37.26/37.46 ('==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) =
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [refl,
% 37.26/37.46 [$fot('==>'(X_257,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'(X_16,
% 37.26/37.46 add(X_16, '==>'(X_255, X_257))))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_579, plain,
% 37.26/37.46 ('==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) !=
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) |
% 37.26/37.46 '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))) !=
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257))) |
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) =
% 37.26/37.46 '==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal('==>'(X_257,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'(X_16,
% 37.26/37.46 add(X_16, '==>'(X_255, X_257))))))), [1, 1],
% 37.26/37.46 $fot('==>'(X_16, add(X_16, '==>'(X_255, X_257))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_580, plain,
% 37.26/37.46 ('==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))) !=
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257))) |
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) =
% 37.26/37.46 '==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_257,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))))],
% 37.26/37.46 [refute_0_578, refute_0_579])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_581, plain,
% 37.26/37.46 ('==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) =
% 37.26/37.46 '==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(0,
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))),
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))],
% 37.26/37.46 [refute_0_577, refute_0_580])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_582, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) |
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) !=
% 37.26/37.46 '==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))) |
% 37.26/37.46 0 = '==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf(~ $equal(0,
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))),
% 37.26/37.46 [0],
% 37.26/37.46 $fot('==>'(X_257,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'(X_16,
% 37.26/37.46 add(X_16, '==>'(X_255, X_257))))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_583, plain,
% 37.26/37.46 (0 !=
% 37.26/37.46 '==>'(X_257, '==>'(0, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))) |
% 37.26/37.46 0 = '==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_257,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257))))))],
% 37.26/37.46 [refute_0_581, refute_0_582])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_584, plain,
% 37.26/37.46 (0 = '==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257))))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(0,
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'(0,
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257)))))))],
% 37.26/37.46 [refute_0_576, refute_0_583])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_585, plain,
% 37.26/37.46 (0 != '==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))) |
% 37.26/37.46 '==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))) = 0),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_4 :
% 37.26/37.46 [bind(X, $fot(0)),
% 37.26/37.46 bind(Y,
% 37.26/37.46 $fot('==>'(X_257,
% 37.26/37.46 '==>'(X_16,
% 37.26/37.46 add(X_16, '==>'(X_255, X_257))))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_586, plain,
% 37.26/37.46 ('==>'(X_257, '==>'(X_16, add(X_16, '==>'(X_255, X_257)))) = 0),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(0,
% 37.26/37.46 '==>'(X_257,
% 37.26/37.46 '==>'(X_16, add(X_16, '==>'(X_255, X_257))))))],
% 37.26/37.46 [refute_0_584, refute_0_585])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_587, plain,
% 37.26/37.46 ('==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))) = 0),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_586 :
% 37.26/37.46 [bind(X_16, $fot(X_183)), bind(X_255, $fot(X_184)),
% 37.26/37.46 bind(X_257, $fot(X_33))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_588, plain,
% 37.26/37.46 (add(X_33, '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) =
% 37.26/37.46 add(X_33, '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [refl,
% 37.26/37.46 [$fot(add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_589, plain,
% 37.26/37.46 (add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) !=
% 37.26/37.46 add(X_33, '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) |
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))) != 0 |
% 37.26/37.46 add(X_33, '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) =
% 37.26/37.46 add(X_33, 0)),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal(add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))),
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))))))), [1, 1],
% 37.26/37.46 $fot(0)]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_590, plain,
% 37.26/37.46 ('==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))) != 0 |
% 37.26/37.46 add(X_33, '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) =
% 37.26/37.46 add(X_33, 0)),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))),
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33)))))))],
% 37.26/37.46 [refute_0_588, refute_0_589])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_591, plain,
% 37.26/37.46 (add(X_33, '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) =
% 37.26/37.46 add(X_33, 0)),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_33,
% 37.26/37.46 '==>'(X_183, add(X_183, '==>'(X_184, X_33)))),
% 37.26/37.46 0))], [refute_0_587, refute_0_590])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_592, plain,
% 37.26/37.46 (add(X_33, 0) != X_33 |
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) !=
% 37.26/37.46 add(X_33, 0) |
% 37.26/37.46 add(X_33, '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) =
% 37.26/37.46 X_33),
% 37.26/37.46 inference(subst, [],
% 37.26/37.46 [refute_0_184 :
% 37.26/37.46 [bind(X,
% 37.26/37.46 $fot(add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))))))),
% 37.26/37.46 bind(Y, $fot(add(X_33, 0))), bind(Z, $fot(X_33))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_593, plain,
% 37.26/37.46 (add(X_33, 0) != X_33 |
% 37.26/37.46 add(X_33, '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) =
% 37.26/37.46 X_33),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))),
% 37.26/37.46 add(X_33, 0)))], [refute_0_591, refute_0_592])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_594, plain,
% 37.26/37.46 (add(X_33, '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) =
% 37.26/37.46 X_33),
% 37.26/37.46 inference(resolve, [$cnf($equal(add(X_33, 0), X_33))],
% 37.26/37.46 [refute_0_105, refute_0_593])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_595, plain,
% 37.26/37.46 ('==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))) =
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [refl,
% 37.26/37.46 [$fot('==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33)))))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_596, plain,
% 37.26/37.46 (add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) != X_33 |
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))) !=
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))) |
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))) =
% 37.26/37.46 '==>'(X_184, X_33)),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal('==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33)))))),
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33)))))))),
% 37.26/37.46 [1, 1], $fot(X_33)]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_597, plain,
% 37.26/37.46 (add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))) != X_33 |
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))) =
% 37.26/37.46 '==>'(X_184, X_33)),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal('==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33)))))),
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))))))))],
% 37.26/37.46 [refute_0_595, refute_0_596])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_598, plain,
% 37.26/37.46 ('==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))) =
% 37.26/37.46 '==>'(X_184, X_33)),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183, add(X_183, '==>'(X_184, X_33))))),
% 37.26/37.46 X_33))], [refute_0_594, refute_0_597])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_599, plain,
% 37.26/37.46 (add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) =
% 37.26/37.46 add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [refl,
% 37.26/37.46 [$fot(add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))))))))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_600, plain,
% 37.26/37.46 (add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) !=
% 37.26/37.46 add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) |
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))) !=
% 37.26/37.46 '==>'(X_184, X_33) |
% 37.26/37.46 add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) =
% 37.26/37.46 add(X_184, '==>'(X_184, X_33))),
% 37.26/37.46 introduced(tautology,
% 37.26/37.46 [equality,
% 37.26/37.46 [$cnf($equal(add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))))))),
% 37.26/37.46 add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))))))))),
% 37.26/37.46 [1, 1], $fot('==>'(X_184, X_33))]])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_601, plain,
% 37.26/37.46 ('==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))) !=
% 37.26/37.46 '==>'(X_184, X_33) |
% 37.26/37.46 add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) =
% 37.26/37.46 add(X_184, '==>'(X_184, X_33))),
% 37.26/37.46 inference(resolve,
% 37.26/37.46 [$cnf($equal(add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33))))))),
% 37.26/37.46 add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33,
% 37.26/37.46 '==>'(X_183,
% 37.26/37.46 add(X_183, '==>'(X_184, X_33)))))))))],
% 37.26/37.46 [refute_0_599, refute_0_600])).
% 37.26/37.46
% 37.26/37.46 cnf(refute_0_602, plain,
% 37.26/37.46 (add(X_184,
% 37.26/37.46 '==>'(X_184,
% 37.26/37.46 add(X_33,
% 37.26/37.46 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) =
% 37.26/37.47 add(X_184, '==>'(X_184, X_33))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal('==>'(X_184,
% 37.26/37.47 add(X_33,
% 37.26/37.47 '==>'(X_33,
% 37.26/37.47 '==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33)))))),
% 37.26/37.47 '==>'(X_184, X_33)))],
% 37.26/37.47 [refute_0_598, refute_0_601])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_603, plain,
% 37.26/37.47 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))) =
% 37.26/37.47 add(X_184,
% 37.26/37.47 '==>'(X_184,
% 37.26/37.47 add(X_33,
% 37.26/37.47 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33)))))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_362 :
% 37.26/37.47 [bind(A, $fot(X_33)), bind(X_262, $fot(X_184)),
% 37.26/37.47 bind(X_9,
% 37.26/37.47 $fot('==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33)))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_604, plain,
% 37.26/37.47 (add(X_184,
% 37.26/37.47 '==>'(X_184,
% 37.26/37.47 add(X_33,
% 37.26/37.47 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) !=
% 37.26/37.47 add(X_184, '==>'(X_184, X_33)) |
% 37.26/37.47 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))) !=
% 37.26/37.47 add(X_184,
% 37.26/37.47 '==>'(X_184,
% 37.26/37.47 add(X_33,
% 37.26/37.47 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) |
% 37.26/37.47 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))) = add(X_184, '==>'(X_184, X_33))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_184 :
% 37.26/37.47 [bind(X,
% 37.26/37.47 $fot(add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))))),
% 37.26/37.47 bind(Y,
% 37.26/37.47 $fot(add(X_184,
% 37.26/37.47 '==>'(X_184,
% 37.26/37.47 add(X_33,
% 37.26/37.47 '==>'(X_33,
% 37.26/37.47 '==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33))))))))),
% 37.26/37.47 bind(Z, $fot(add(X_184, '==>'(X_184, X_33))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_605, plain,
% 37.26/37.47 (add(X_184,
% 37.26/37.47 '==>'(X_184,
% 37.26/37.47 add(X_33,
% 37.26/37.47 '==>'(X_33, '==>'(X_183, add(X_183, '==>'(X_184, X_33))))))) !=
% 37.26/37.47 add(X_184, '==>'(X_184, X_33)) |
% 37.26/37.47 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))) = add(X_184, '==>'(X_184, X_33))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add('==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))),
% 37.26/37.47 add(X_184,
% 37.26/37.47 '==>'(X_184,
% 37.26/37.47 add(X_33,
% 37.26/37.47 '==>'(X_33,
% 37.26/37.47 '==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33)))))))))],
% 37.26/37.47 [refute_0_603, refute_0_604])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_606, plain,
% 37.26/37.47 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))) = add(X_184, '==>'(X_184, X_33))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_184,
% 37.26/37.47 '==>'(X_184,
% 37.26/37.47 add(X_33,
% 37.26/37.47 '==>'(X_33,
% 37.26/37.47 '==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33))))))),
% 37.26/37.47 add(X_184, '==>'(X_184, X_33))))],
% 37.26/37.47 [refute_0_602, refute_0_605])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_607, plain,
% 37.26/37.47 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))) !=
% 37.26/37.47 add(X_184, '==>'(X_184, X_33)) |
% 37.26/37.47 add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))) != add(X_33, '==>'(X_33, X_184)) |
% 37.26/37.47 add(X_184, '==>'(X_184, X_33)) = add(X_33, '==>'(X_33, X_184))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add('==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))), [0],
% 37.26/37.47 $fot(add(X_184, '==>'(X_184, X_33)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_608, plain,
% 37.26/37.47 (add('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))) != add(X_33, '==>'(X_33, X_184)) |
% 37.26/37.47 add(X_184, '==>'(X_184, X_33)) = add(X_33, '==>'(X_33, X_184))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add('==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))),
% 37.26/37.47 add(X_184, '==>'(X_184, X_33))))],
% 37.26/37.47 [refute_0_606, refute_0_607])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_609, plain,
% 37.26/37.47 (add(X_184, '==>'(X_184, X_33)) = add(X_33, '==>'(X_33, X_184))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add('==>'(X_183,
% 37.26/37.47 add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 '==>'('==>'(X_183, add(X_183, '==>'(X_184, X_33))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)))),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184))))],
% 37.26/37.47 [refute_0_528, refute_0_608])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_610, plain,
% 37.26/37.47 (add(X_184, '==>'(X_184, X_33)) != add(X_33, '==>'(X_33, X_184)) |
% 37.26/37.47 add(X_33, '==>'(X_33, X_184)) = add(X_184, '==>'(X_184, X_33))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_4 :
% 37.26/37.47 [bind(X, $fot(add(X_184, '==>'(X_184, X_33)))),
% 37.26/37.47 bind(Y, $fot(add(X_33, '==>'(X_33, X_184))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_611, plain,
% 37.26/37.47 (add(X_33, '==>'(X_33, X_184)) = add(X_184, '==>'(X_184, X_33))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_184, '==>'(X_184, X_33)),
% 37.26/37.47 add(X_33, '==>'(X_33, X_184))))],
% 37.26/37.47 [refute_0_609, refute_0_610])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_612, plain, (add(c, '==>'(c, b)) = add(b, '==>'(b, c))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_611 :
% 37.26/37.47 [bind(X_184, $fot(b)), bind(X_33, $fot(c))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_613, plain,
% 37.26/37.47 ('==>'(a, add(c, '==>'(c, b))) = '==>'(a, add(c, '==>'(c, b)))),
% 37.26/37.47 introduced(tautology, [refl, [$fot('==>'(a, add(c, '==>'(c, b))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_614, plain,
% 37.26/37.47 (add(c, '==>'(c, b)) != add(b, '==>'(b, c)) |
% 37.26/37.47 '==>'(a, add(c, '==>'(c, b))) != '==>'(a, add(c, '==>'(c, b))) |
% 37.26/37.47 '==>'(a, add(c, '==>'(c, b))) = '==>'(a, add(b, '==>'(b, c)))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal('==>'(a, add(c, '==>'(c, b))),
% 37.26/37.47 '==>'(a, add(c, '==>'(c, b))))), [1, 1],
% 37.26/37.47 $fot(add(b, '==>'(b, c)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_615, plain,
% 37.26/37.47 (add(c, '==>'(c, b)) != add(b, '==>'(b, c)) |
% 37.26/37.47 '==>'(a, add(c, '==>'(c, b))) = '==>'(a, add(b, '==>'(b, c)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal('==>'(a, add(c, '==>'(c, b))),
% 37.26/37.47 '==>'(a, add(c, '==>'(c, b)))))],
% 37.26/37.47 [refute_0_613, refute_0_614])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_616, plain,
% 37.26/37.47 ('==>'(a, add(c, '==>'(c, b))) = '==>'(a, add(b, '==>'(b, c)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(c, '==>'(c, b)), add(b, '==>'(b, c))))],
% 37.26/37.47 [refute_0_612, refute_0_615])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_617, plain,
% 37.26/37.47 (add(a, '==>'(a, add(c, '==>'(c, b)))) =
% 37.26/37.47 add(a, '==>'(a, add(c, '==>'(c, b))))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [refl, [$fot(add(a, '==>'(a, add(c, '==>'(c, b)))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_618, plain,
% 37.26/37.47 (add(a, '==>'(a, add(c, '==>'(c, b)))) !=
% 37.26/37.47 add(a, '==>'(a, add(c, '==>'(c, b)))) |
% 37.26/37.47 '==>'(a, add(c, '==>'(c, b))) != '==>'(a, add(b, '==>'(b, c))) |
% 37.26/37.47 add(a, '==>'(a, add(c, '==>'(c, b)))) =
% 37.26/37.47 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add(a, '==>'(a, add(c, '==>'(c, b)))),
% 37.26/37.47 add(a, '==>'(a, add(c, '==>'(c, b)))))), [1, 1],
% 37.26/37.47 $fot('==>'(a, add(b, '==>'(b, c))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_619, plain,
% 37.26/37.47 ('==>'(a, add(c, '==>'(c, b))) != '==>'(a, add(b, '==>'(b, c))) |
% 37.26/37.47 add(a, '==>'(a, add(c, '==>'(c, b)))) =
% 37.26/37.47 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(a, '==>'(a, add(c, '==>'(c, b)))),
% 37.26/37.47 add(a, '==>'(a, add(c, '==>'(c, b))))))],
% 37.26/37.47 [refute_0_617, refute_0_618])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_620, plain,
% 37.26/37.47 (add(a, '==>'(a, add(c, '==>'(c, b)))) =
% 37.26/37.47 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal('==>'(a, add(c, '==>'(c, b))),
% 37.26/37.47 '==>'(a, add(b, '==>'(b, c)))))],
% 37.26/37.47 [refute_0_616, refute_0_619])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_621, plain,
% 37.26/37.47 (add(X_262, '==>'(X_262, add(X_264, '==>'(X_264, A)))) =
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_68 :
% 37.26/37.47 [bind(A, $fot(X_262)), bind(X_10, $fot('==>'(X_264, A))),
% 37.26/37.47 bind(X_9, $fot(X_264))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_622, plain,
% 37.26/37.47 (add(A, '==>'(A, X_264)) = add(X_264, '==>'(X_264, A))),
% 37.26/37.47 inference(subst, [], [refute_0_1 : [bind(B, $fot(X_264))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_623, plain,
% 37.26/37.47 (add(A, '==>'(A, X_264)) != add(X_264, '==>'(X_264, A)) |
% 37.26/37.47 add(X_264, '==>'(X_264, A)) = add(A, '==>'(A, X_264))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_4 :
% 37.26/37.47 [bind(X, $fot(add(A, '==>'(A, X_264)))),
% 37.26/37.47 bind(Y, $fot(add(X_264, '==>'(X_264, A))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_624, plain,
% 37.26/37.47 (add(X_264, '==>'(X_264, A)) = add(A, '==>'(A, X_264))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(A, '==>'(A, X_264)),
% 37.26/37.47 add(X_264, '==>'(X_264, A))))],
% 37.26/37.47 [refute_0_622, refute_0_623])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_625, plain,
% 37.26/37.47 (add(X_262, '==>'(X_262, add(X_264, '==>'(X_264, A)))) !=
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) |
% 37.26/37.47 add(X_264, '==>'(X_264, A)) != add(A, '==>'(A, X_264)) |
% 37.26/37.47 add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) =
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add(X_262,
% 37.26/37.47 '==>'(X_262, add(X_264, '==>'(X_264, A)))),
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264,
% 37.26/37.47 '==>'(X_264,
% 37.26/37.47 '==>'('==>'(X_264, A), X_262)))))),
% 37.26/37.47 [0, 1, 1], $fot(add(A, '==>'(A, X_264)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_626, plain,
% 37.26/37.47 (add(X_262, '==>'(X_262, add(X_264, '==>'(X_264, A)))) !=
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) |
% 37.26/37.47 add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) =
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_264, '==>'(X_264, A)),
% 37.26/37.47 add(A, '==>'(A, X_264))))],
% 37.26/37.47 [refute_0_624, refute_0_625])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_627, plain,
% 37.26/37.47 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) =
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_262,
% 37.26/37.47 '==>'(X_262, add(X_264, '==>'(X_264, A)))),
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264,
% 37.26/37.47 '==>'(X_264, '==>'('==>'(X_264, A), X_262))))))],
% 37.26/37.47 [refute_0_621, refute_0_626])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_628, plain, (add(X_33, X_34) = add(X_34, X_33)),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_23 : [bind(A, $fot(X_33)), bind(B, $fot(X_34))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_629, plain,
% 37.26/37.47 (add(X_33, X_34) != add(X_34, X_33) |
% 37.26/37.47 add(X_34, X_33) = add(X_33, X_34)),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_4 :
% 37.26/37.47 [bind(X, $fot(add(X_33, X_34))),
% 37.26/37.47 bind(Y, $fot(add(X_34, X_33)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_630, plain, (add(X_34, X_33) = add(X_33, X_34)),
% 37.26/37.47 inference(resolve, [$cnf($equal(add(X_33, X_34), add(X_34, X_33)))],
% 37.26/37.47 [refute_0_628, refute_0_629])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_631, plain,
% 37.26/37.47 (add(X_32, '==>'(X_32, add(X_34, X_33))) !=
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32)))) |
% 37.26/37.47 add(X_34, X_33) != add(X_33, X_34) |
% 37.26/37.47 add(X_32, '==>'(X_32, add(X_33, X_34))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add(X_32, '==>'(X_32, add(X_34, X_33))),
% 37.26/37.47 add(X_34,
% 37.26/37.47 add(X_33, '==>'(X_34, '==>'(X_33, X_32)))))),
% 37.26/37.47 [0, 1, 1], $fot(add(X_33, X_34))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_632, plain,
% 37.26/37.47 (add(X_32, '==>'(X_32, add(X_34, X_33))) !=
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32)))) |
% 37.26/37.47 add(X_32, '==>'(X_32, add(X_33, X_34))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.47 inference(resolve, [$cnf($equal(add(X_34, X_33), add(X_33, X_34)))],
% 37.26/37.47 [refute_0_630, refute_0_631])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_633, plain,
% 37.26/37.47 (add(X_32, '==>'(X_32, add(X_33, X_34))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_32, '==>'(X_32, add(X_34, X_33))),
% 37.26/37.47 add(X_34,
% 37.26/37.47 add(X_33, '==>'(X_34, '==>'(X_33, X_32))))))],
% 37.26/37.47 [refute_0_119, refute_0_632])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_634, plain,
% 37.26/37.47 (add(X_32, '==>'(X_32, add(X_33, X_34))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_68 :
% 37.26/37.47 [bind(A, $fot(X_32)), bind(X_10, $fot(X_34)),
% 37.26/37.47 bind(X_9, $fot(X_33))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_635, plain,
% 37.26/37.47 (add(X_32, '==>'(X_32, add(X_33, X_34))) !=
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32)))) |
% 37.26/37.47 add(X_32, '==>'(X_32, add(X_33, X_34))) !=
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32)))) |
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32)))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add(X_32, '==>'(X_32, add(X_33, X_34))),
% 37.26/37.47 add(X_34,
% 37.26/37.47 add(X_33, '==>'(X_34, '==>'(X_33, X_32)))))),
% 37.26/37.47 [0],
% 37.26/37.47 $fot(add(X_34,
% 37.26/37.47 add(X_33, '==>'(X_33, '==>'(X_34, X_32)))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_636, plain,
% 37.26/37.47 (add(X_32, '==>'(X_32, add(X_33, X_34))) !=
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32)))) |
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32)))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_32, '==>'(X_32, add(X_33, X_34))),
% 37.26/37.47 add(X_34,
% 37.26/37.47 add(X_33, '==>'(X_33, '==>'(X_34, X_32))))))],
% 37.26/37.47 [refute_0_634, refute_0_635])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_637, plain,
% 37.26/37.47 (add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32)))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_32, '==>'(X_32, add(X_33, X_34))),
% 37.26/37.47 add(X_34,
% 37.26/37.47 add(X_33, '==>'(X_34, '==>'(X_33, X_32))))))],
% 37.26/37.47 [refute_0_633, refute_0_636])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_638, plain,
% 37.26/37.47 (add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'('==>'(X_264, A), '==>'(X_264, X_262)))) =
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_637 :
% 37.26/37.47 [bind(X_32, $fot(X_262)), bind(X_33, $fot('==>'(X_264, A))),
% 37.26/37.47 bind(X_34, $fot(X_264))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_639, plain,
% 37.26/37.47 (add(X_32, '==>'(X_32, add(X_34, X_33))) =
% 37.26/37.47 add(X_33, add(X_34, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_68 :
% 37.26/37.47 [bind(A, $fot(X_32)), bind(X_10, $fot(X_33)),
% 37.26/37.47 bind(X_9, $fot(X_34))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_640, plain,
% 37.26/37.47 (add(X_32, '==>'(X_32, add(X_34, X_33))) !=
% 37.26/37.47 add(X_33, add(X_34, '==>'(X_34, '==>'(X_33, X_32)))) |
% 37.26/37.47 add(X_32, '==>'(X_32, add(X_34, X_33))) !=
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32)))) |
% 37.26/37.47 add(X_33, add(X_34, '==>'(X_34, '==>'(X_33, X_32)))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32))))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add(X_32, '==>'(X_32, add(X_34, X_33))),
% 37.26/37.47 add(X_34,
% 37.26/37.47 add(X_33, '==>'(X_33, '==>'(X_34, X_32)))))),
% 37.26/37.47 [0],
% 37.26/37.47 $fot(add(X_33,
% 37.26/37.47 add(X_34, '==>'(X_34, '==>'(X_33, X_32)))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_641, plain,
% 37.26/37.47 (add(X_32, '==>'(X_32, add(X_34, X_33))) !=
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32)))) |
% 37.26/37.47 add(X_33, add(X_34, '==>'(X_34, '==>'(X_33, X_32)))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_32, '==>'(X_32, add(X_34, X_33))),
% 37.26/37.47 add(X_33,
% 37.26/37.47 add(X_34, '==>'(X_34, '==>'(X_33, X_32))))))],
% 37.26/37.47 [refute_0_639, refute_0_640])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_642, plain,
% 37.26/37.47 (add(X_33, add(X_34, '==>'(X_34, '==>'(X_33, X_32)))) =
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_32, '==>'(X_32, add(X_34, X_33))),
% 37.26/37.47 add(X_34,
% 37.26/37.47 add(X_33, '==>'(X_33, '==>'(X_34, X_32))))))],
% 37.26/37.47 [refute_0_125, refute_0_641])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_643, plain,
% 37.26/37.47 (add(X_33, add(X_34, '==>'(X_34, '==>'(X_33, X_32)))) !=
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32)))) |
% 37.26/37.47 add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32)))) =
% 37.26/37.47 add(X_33, add(X_34, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_4 :
% 37.26/37.47 [bind(X,
% 37.26/37.47 $fot(add(X_33,
% 37.26/37.47 add(X_34, '==>'(X_34, '==>'(X_33, X_32)))))),
% 37.26/37.47 bind(Y,
% 37.26/37.47 $fot(add(X_34,
% 37.26/37.47 add(X_33,
% 37.26/37.47 '==>'(X_33, '==>'(X_34, X_32))))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_644, plain,
% 37.26/37.47 (add(X_34, add(X_33, '==>'(X_33, '==>'(X_34, X_32)))) =
% 37.26/37.47 add(X_33, add(X_34, '==>'(X_34, '==>'(X_33, X_32))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_33,
% 37.26/37.47 add(X_34, '==>'(X_34, '==>'(X_33, X_32)))),
% 37.26/37.47 add(X_34,
% 37.26/37.47 add(X_33, '==>'(X_33, '==>'(X_34, X_32))))))],
% 37.26/37.47 [refute_0_642, refute_0_643])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_645, plain,
% 37.26/37.47 (add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) =
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'('==>'(X_264, A), '==>'(X_264, X_262))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_644 :
% 37.26/37.47 [bind(X_32, $fot(X_262)), bind(X_33, $fot(X_264)),
% 37.26/37.47 bind(X_34, $fot('==>'(X_264, A)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_646, plain,
% 37.26/37.47 (add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'('==>'(X_264, A), '==>'(X_264, X_262)))) !=
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) |
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) !=
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'('==>'(X_264, A), '==>'(X_264, X_262)))) |
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) =
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_184 :
% 37.26/37.47 [bind(X,
% 37.26/37.47 $fot(add('==>'(X_264, A),
% 37.26/37.47 add(X_264,
% 37.26/37.47 '==>'(X_264,
% 37.26/37.47 '==>'('==>'(X_264, A), X_262)))))),
% 37.26/37.47 bind(Y,
% 37.26/37.47 $fot(add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'('==>'(X_264, A),
% 37.26/37.47 '==>'(X_264, X_262)))))),
% 37.26/37.47 bind(Z,
% 37.26/37.47 $fot(add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'(X_264,
% 37.26/37.47 '==>'('==>'(X_264, A), X_262))))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_647, plain,
% 37.26/37.47 (add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'('==>'(X_264, A), '==>'(X_264, X_262)))) !=
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) |
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) =
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add('==>'(X_264, A),
% 37.26/37.47 add(X_264,
% 37.26/37.47 '==>'(X_264, '==>'('==>'(X_264, A), X_262)))),
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'('==>'(X_264, A), '==>'(X_264, X_262))))))],
% 37.26/37.47 [refute_0_645, refute_0_646])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_648, plain,
% 37.26/37.47 (add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) =
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'('==>'(X_264, A), '==>'(X_264, X_262)))),
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'(X_264, '==>'('==>'(X_264, A), X_262))))))],
% 37.26/37.47 [refute_0_638, refute_0_647])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_649, plain,
% 37.26/37.47 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) !=
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) |
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) !=
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) |
% 37.26/37.47 add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) =
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf(~ $equal(add(X_262,
% 37.26/37.47 '==>'(X_262, add(A, '==>'(A, X_264)))),
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'(X_264,
% 37.26/37.47 '==>'('==>'(X_264, A), X_262)))))), [0],
% 37.26/37.47 $fot(add('==>'(X_264, A),
% 37.26/37.47 add(X_264,
% 37.26/37.47 '==>'(X_264,
% 37.26/37.47 '==>'('==>'(X_264, A), X_262)))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_650, plain,
% 37.26/37.47 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) !=
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264, '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) |
% 37.26/37.47 add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) =
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add('==>'(X_264, A),
% 37.26/37.47 add(X_264,
% 37.26/37.47 '==>'(X_264, '==>'('==>'(X_264, A), X_262)))),
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'(X_264, '==>'('==>'(X_264, A), X_262))))))],
% 37.26/37.47 [refute_0_648, refute_0_649])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_651, plain,
% 37.26/37.47 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) =
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_262,
% 37.26/37.47 '==>'(X_262, add(A, '==>'(A, X_264)))),
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 add(X_264,
% 37.26/37.47 '==>'(X_264, '==>'('==>'(X_264, A), X_262))))))],
% 37.26/37.47 [refute_0_627, refute_0_650])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_652, plain,
% 37.26/37.47 (add(X_65, add(X_67, '==>'(X_67, A))) =
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, A)))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_64 :
% 37.26/37.47 [bind(X_10, $fot(X_65)), bind(X_11, $fot('==>'(X_67, A))),
% 37.26/37.47 bind(X_9, $fot(X_67))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_653, plain,
% 37.26/37.47 (add(A, '==>'(A, X_67)) = add(X_67, '==>'(X_67, A))),
% 37.26/37.47 inference(subst, [], [refute_0_1 : [bind(B, $fot(X_67))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_654, plain,
% 37.26/37.47 (add(A, '==>'(A, X_67)) != add(X_67, '==>'(X_67, A)) |
% 37.26/37.47 add(X_67, '==>'(X_67, A)) = add(A, '==>'(A, X_67))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_4 :
% 37.26/37.47 [bind(X, $fot(add(A, '==>'(A, X_67)))),
% 37.26/37.47 bind(Y, $fot(add(X_67, '==>'(X_67, A))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_655, plain,
% 37.26/37.47 (add(X_67, '==>'(X_67, A)) = add(A, '==>'(A, X_67))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(A, '==>'(A, X_67)),
% 37.26/37.47 add(X_67, '==>'(X_67, A))))],
% 37.26/37.47 [refute_0_653, refute_0_654])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_656, plain,
% 37.26/37.47 (add(X_65, add(X_67, '==>'(X_67, A))) !=
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, A))) |
% 37.26/37.47 add(X_67, '==>'(X_67, A)) != add(A, '==>'(A, X_67)) |
% 37.26/37.47 add(X_65, add(A, '==>'(A, X_67))) =
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, A)))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add(X_65, add(X_67, '==>'(X_67, A))),
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, A))))), [0, 1],
% 37.26/37.47 $fot(add(A, '==>'(A, X_67)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_657, plain,
% 37.26/37.47 (add(X_65, add(X_67, '==>'(X_67, A))) !=
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, A))) |
% 37.26/37.47 add(X_65, add(A, '==>'(A, X_67))) =
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, A)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_67, '==>'(X_67, A)),
% 37.26/37.47 add(A, '==>'(A, X_67))))],
% 37.26/37.47 [refute_0_655, refute_0_656])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_658, plain,
% 37.26/37.47 (add(X_65, add(A, '==>'(A, X_67))) =
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, A)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_65, add(X_67, '==>'(X_67, A))),
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, A)))))],
% 37.26/37.47 [refute_0_652, refute_0_657])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_659, plain,
% 37.26/37.47 (add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) =
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, '==>'(X_65, X_307))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_658 : [bind(A, $fot('==>'(X_65, X_307)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_660, plain,
% 37.26/37.47 (add('==>'(X_27, X_29), '==>'('==>'(X_27, X_29), B)) =
% 37.26/37.47 add(B, '==>'(B, '==>'(X_27, X_29)))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_1 : [bind(A, $fot('==>'(X_27, X_29)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_661, plain,
% 37.26/37.47 (add('==>'(X_27, X_29), '==>'('==>'(X_27, X_29), B)) !=
% 37.26/37.47 add(B, '==>'(B, '==>'(X_27, X_29))) |
% 37.26/37.47 '==>'(B, '==>'(X_27, X_29)) != '==>'(X_27, '==>'(B, X_29)) |
% 37.26/37.47 add('==>'(X_27, X_29), '==>'('==>'(X_27, X_29), B)) =
% 37.26/37.47 add(B, '==>'(X_27, '==>'(B, X_29)))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add('==>'(X_27, X_29),
% 37.26/37.47 '==>'('==>'(X_27, X_29), B)),
% 37.26/37.47 add(B, '==>'(B, '==>'(X_27, X_29))))), [1, 1],
% 37.26/37.47 $fot('==>'(X_27, '==>'(B, X_29)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_662, plain,
% 37.26/37.47 (add('==>'(X_27, X_29), '==>'('==>'(X_27, X_29), B)) !=
% 37.26/37.47 add(B, '==>'(B, '==>'(X_27, X_29))) |
% 37.26/37.47 add('==>'(X_27, X_29), '==>'('==>'(X_27, X_29), B)) =
% 37.26/37.47 add(B, '==>'(X_27, '==>'(B, X_29)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal('==>'(B, '==>'(X_27, X_29)),
% 37.26/37.47 '==>'(X_27, '==>'(B, X_29))))],
% 37.26/37.47 [refute_0_470, refute_0_661])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_663, plain,
% 37.26/37.47 (add('==>'(X_27, X_29), '==>'('==>'(X_27, X_29), B)) =
% 37.26/37.47 add(B, '==>'(X_27, '==>'(B, X_29)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add('==>'(X_27, X_29),
% 37.26/37.47 '==>'('==>'(X_27, X_29), B)),
% 37.26/37.47 add(B, '==>'(B, '==>'(X_27, X_29)))))],
% 37.26/37.47 [refute_0_660, refute_0_662])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_664, plain,
% 37.26/37.47 (add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65)) =
% 37.26/37.47 add(X_65, '==>'(X_67, '==>'(X_65, X_307)))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_663 :
% 37.26/37.47 [bind(B, $fot(X_65)), bind(X_27, $fot(X_67)),
% 37.26/37.47 bind(X_29, $fot(X_307))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_665, plain,
% 37.26/37.47 (add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65)) !=
% 37.26/37.47 add(X_65, '==>'(X_67, '==>'(X_65, X_307))) |
% 37.26/37.47 add(X_65, '==>'(X_67, '==>'(X_65, X_307))) =
% 37.26/37.47 add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_4 :
% 37.26/37.47 [bind(X,
% 37.26/37.47 $fot(add('==>'(X_67, X_307),
% 37.26/37.47 '==>'('==>'(X_67, X_307), X_65)))),
% 37.26/37.47 bind(Y,
% 37.26/37.47 $fot(add(X_65, '==>'(X_67, '==>'(X_65, X_307)))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_666, plain,
% 37.26/37.47 (add(X_65, '==>'(X_67, '==>'(X_65, X_307))) =
% 37.26/37.47 add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add('==>'(X_67, X_307),
% 37.26/37.47 '==>'('==>'(X_67, X_307), X_65)),
% 37.26/37.47 add(X_65, '==>'(X_67, '==>'(X_65, X_307)))))],
% 37.26/37.47 [refute_0_664, refute_0_665])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_667, plain,
% 37.26/37.47 (add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) !=
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, '==>'(X_65, X_307)))) |
% 37.26/37.47 add(X_65, '==>'(X_67, '==>'(X_65, X_307))) !=
% 37.26/37.47 add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65)) |
% 37.26/37.47 add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) =
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65)))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add(X_65,
% 37.26/37.47 add('==>'(X_65, X_307),
% 37.26/37.47 '==>'('==>'(X_65, X_307), X_67))),
% 37.26/37.47 add(X_67,
% 37.26/37.47 add(X_65, '==>'(X_67, '==>'(X_65, X_307)))))),
% 37.26/37.47 [1, 1],
% 37.26/37.47 $fot(add('==>'(X_67, X_307),
% 37.26/37.47 '==>'('==>'(X_67, X_307), X_65)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_668, plain,
% 37.26/37.47 (add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) !=
% 37.26/37.47 add(X_67, add(X_65, '==>'(X_67, '==>'(X_65, X_307)))) |
% 37.26/37.47 add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) =
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_65, '==>'(X_67, '==>'(X_65, X_307))),
% 37.26/37.47 add('==>'(X_67, X_307),
% 37.26/37.47 '==>'('==>'(X_67, X_307), X_65))))],
% 37.26/37.47 [refute_0_666, refute_0_667])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_669, plain,
% 37.26/37.47 (add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) =
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_65,
% 37.26/37.47 add('==>'(X_65, X_307),
% 37.26/37.47 '==>'('==>'(X_65, X_307), X_67))),
% 37.26/37.47 add(X_67,
% 37.26/37.47 add(X_65, '==>'(X_67, '==>'(X_65, X_307))))))],
% 37.26/37.47 [refute_0_659, refute_0_668])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_670, plain,
% 37.26/37.47 (add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) =
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65)))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_266 :
% 37.26/37.47 [bind(A, $fot(X_307)), bind(X_10, $fot(X_65)),
% 37.26/37.47 bind(X_9, $fot(X_67))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_671, plain,
% 37.26/37.47 (add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) !=
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65))) |
% 37.26/37.47 add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) !=
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65))) |
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65))) =
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65)))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add(X_65,
% 37.26/37.47 add('==>'(X_65, X_307),
% 37.26/37.47 '==>'('==>'(X_65, X_307), X_67))),
% 37.26/37.47 add(X_67,
% 37.26/37.47 add('==>'(X_67, X_307),
% 37.26/37.47 '==>'('==>'(X_67, X_307), X_65))))), [0],
% 37.26/37.47 $fot(add(X_307, '==>'(X_307, add(X_67, X_65))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_672, plain,
% 37.26/37.47 (add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) !=
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65))) |
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65))) =
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_65,
% 37.26/37.47 add('==>'(X_65, X_307),
% 37.26/37.47 '==>'('==>'(X_65, X_307), X_67))),
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65)))))],
% 37.26/37.47 [refute_0_670, refute_0_671])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_673, plain,
% 37.26/37.47 (add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65))) =
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67)))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_266 :
% 37.26/37.47 [bind(A, $fot(X_307)), bind(X_10, $fot(X_67)),
% 37.26/37.47 bind(X_9, $fot(X_65))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_674, plain,
% 37.26/37.47 (add(X_307, '==>'(X_307, add(X_67, X_65))) !=
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65))) |
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65))) !=
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67))) |
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65))) =
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67)))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf(~ $equal(add(X_307, '==>'(X_307, add(X_67, X_65))),
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67))))), [0],
% 37.26/37.47 $fot(add(X_67,
% 37.26/37.47 add('==>'(X_67, X_307),
% 37.26/37.47 '==>'('==>'(X_67, X_307), X_65))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_675, plain,
% 37.26/37.47 (add(X_307, '==>'(X_307, add(X_67, X_65))) !=
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65))) |
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65))) =
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_67,
% 37.26/37.47 add('==>'(X_67, X_307),
% 37.26/37.47 '==>'('==>'(X_67, X_307), X_65))),
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67)))))],
% 37.26/37.47 [refute_0_673, refute_0_674])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_676, plain,
% 37.26/37.47 (add(X_65, add('==>'(X_65, X_307), '==>'('==>'(X_65, X_307), X_67))) !=
% 37.26/37.47 add(X_67, add('==>'(X_67, X_307), '==>'('==>'(X_67, X_307), X_65))) |
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65))) =
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_307, '==>'(X_307, add(X_67, X_65))),
% 37.26/37.47 add(X_67,
% 37.26/37.47 add('==>'(X_67, X_307),
% 37.26/37.47 '==>'('==>'(X_67, X_307), X_65)))))],
% 37.26/37.47 [refute_0_672, refute_0_675])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_677, plain,
% 37.26/37.47 (add(X_307, '==>'(X_307, add(X_67, X_65))) =
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_65,
% 37.26/37.47 add('==>'(X_65, X_307),
% 37.26/37.47 '==>'('==>'(X_65, X_307), X_67))),
% 37.26/37.47 add(X_67,
% 37.26/37.47 add('==>'(X_67, X_307),
% 37.26/37.47 '==>'('==>'(X_67, X_307), X_65)))))],
% 37.26/37.47 [refute_0_669, refute_0_676])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_678, plain,
% 37.26/37.47 (add(X_307, '==>'(X_307, add(X_67, X_65))) !=
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67))) |
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67))) =
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65)))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_4 :
% 37.26/37.47 [bind(X, $fot(add(X_307, '==>'(X_307, add(X_67, X_65))))),
% 37.26/37.47 bind(Y,
% 37.26/37.47 $fot(add(X_307, '==>'(X_307, add(X_65, X_67)))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_679, plain,
% 37.26/37.47 (add(X_307, '==>'(X_307, add(X_65, X_67))) =
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_67, X_65)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_307, '==>'(X_307, add(X_67, X_65))),
% 37.26/37.47 add(X_307, '==>'(X_307, add(X_65, X_67)))))],
% 37.26/37.47 [refute_0_677, refute_0_678])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_680, plain,
% 37.26/37.47 (add(A, '==>'(A, add('==>'(X_264, X_262), X_264))) =
% 37.26/37.47 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_679 :
% 37.26/37.47 [bind(X_307, $fot(A)),
% 37.26/37.47 bind(X_65, $fot('==>'(X_264, X_262))),
% 37.26/37.47 bind(X_67, $fot(X_264))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_681, plain,
% 37.26/37.47 (add(A, '==>'(A, add('==>'(X_306, X_307), X_10))) =
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_306, X_307),
% 37.26/37.47 '==>'('==>'(X_306, X_307), '==>'(X_10, A))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_68 : [bind(X_9, $fot('==>'(X_306, X_307)))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_682, plain,
% 37.26/37.47 (add('==>'(X_306, X_307), '==>'('==>'(X_306, X_307), '==>'(X_10, A))) =
% 37.26/37.47 add('==>'(X_10, A), '==>'(X_306, '==>'('==>'(X_10, A), X_307)))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_663 :
% 37.26/37.47 [bind(B, $fot('==>'(X_10, A))), bind(X_27, $fot(X_306)),
% 37.26/37.47 bind(X_29, $fot(X_307))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_683, plain,
% 37.26/37.47 (add(A, '==>'(A, add('==>'(X_306, X_307), X_10))) !=
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_306, X_307),
% 37.26/37.47 '==>'('==>'(X_306, X_307), '==>'(X_10, A)))) |
% 37.26/37.47 add('==>'(X_306, X_307),
% 37.26/37.47 '==>'('==>'(X_306, X_307), '==>'(X_10, A))) !=
% 37.26/37.47 add('==>'(X_10, A), '==>'(X_306, '==>'('==>'(X_10, A), X_307))) |
% 37.26/37.47 add(A, '==>'(A, add('==>'(X_306, X_307), X_10))) =
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_10, A), '==>'(X_306, '==>'('==>'(X_10, A), X_307))))),
% 37.26/37.47 introduced(tautology,
% 37.26/37.47 [equality,
% 37.26/37.47 [$cnf($equal(add(A,
% 37.26/37.47 '==>'(A, add('==>'(X_306, X_307), X_10))),
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_306, X_307),
% 37.26/37.47 '==>'('==>'(X_306, X_307), '==>'(X_10, A)))))),
% 37.26/37.47 [1, 1],
% 37.26/37.47 $fot(add('==>'(X_10, A),
% 37.26/37.47 '==>'(X_306, '==>'('==>'(X_10, A), X_307))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_684, plain,
% 37.26/37.47 (add(A, '==>'(A, add('==>'(X_306, X_307), X_10))) !=
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_306, X_307),
% 37.26/37.47 '==>'('==>'(X_306, X_307), '==>'(X_10, A)))) |
% 37.26/37.47 add(A, '==>'(A, add('==>'(X_306, X_307), X_10))) =
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_10, A), '==>'(X_306, '==>'('==>'(X_10, A), X_307))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add('==>'(X_306, X_307),
% 37.26/37.47 '==>'('==>'(X_306, X_307), '==>'(X_10, A))),
% 37.26/37.47 add('==>'(X_10, A),
% 37.26/37.47 '==>'(X_306, '==>'('==>'(X_10, A), X_307)))))],
% 37.26/37.47 [refute_0_682, refute_0_683])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_685, plain,
% 37.26/37.47 (add(A, '==>'(A, add('==>'(X_306, X_307), X_10))) =
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_10, A), '==>'(X_306, '==>'('==>'(X_10, A), X_307))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(A,
% 37.26/37.47 '==>'(A, add('==>'(X_306, X_307), X_10))),
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_306, X_307),
% 37.26/37.47 '==>'('==>'(X_306, X_307), '==>'(X_10, A))))))],
% 37.26/37.47 [refute_0_681, refute_0_684])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_686, plain,
% 37.26/37.47 (add(A, '==>'(A, add('==>'(X_306, X_307), X_10))) !=
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_10, A), '==>'(X_306, '==>'('==>'(X_10, A), X_307)))) |
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_10, A), '==>'(X_306, '==>'('==>'(X_10, A), X_307)))) =
% 37.26/37.47 add(A, '==>'(A, add('==>'(X_306, X_307), X_10)))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_4 :
% 37.26/37.47 [bind(X,
% 37.26/37.47 $fot(add(A,
% 37.26/37.47 '==>'(A, add('==>'(X_306, X_307), X_10))))),
% 37.26/37.47 bind(Y,
% 37.26/37.47 $fot(add(X_10,
% 37.26/37.47 add('==>'(X_10, A),
% 37.26/37.47 '==>'(X_306,
% 37.26/37.47 '==>'('==>'(X_10, A), X_307))))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_687, plain,
% 37.26/37.47 (add(X_10,
% 37.26/37.47 add('==>'(X_10, A), '==>'(X_306, '==>'('==>'(X_10, A), X_307)))) =
% 37.26/37.47 add(A, '==>'(A, add('==>'(X_306, X_307), X_10)))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(A,
% 37.26/37.47 '==>'(A, add('==>'(X_306, X_307), X_10))),
% 37.26/37.47 add(X_10,
% 37.26/37.47 add('==>'(X_10, A),
% 37.26/37.47 '==>'(X_306, '==>'('==>'(X_10, A), X_307))))))],
% 37.26/37.47 [refute_0_685, refute_0_686])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_688, plain,
% 37.26/37.47 (add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) =
% 37.26/37.47 add(A, '==>'(A, add('==>'(X_264, X_262), X_264)))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_687 :
% 37.26/37.47 [bind(X_10, $fot(X_264)), bind(X_306, $fot(X_264)),
% 37.26/37.47 bind(X_307, $fot(X_262))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_689, plain,
% 37.26/37.47 (add(A, '==>'(A, add('==>'(X_264, X_262), X_264))) !=
% 37.26/37.47 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262)))) |
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) !=
% 37.26/37.47 add(A, '==>'(A, add('==>'(X_264, X_262), X_264))) |
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) =
% 37.26/37.47 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262))))),
% 37.26/37.47 inference(subst, [],
% 37.26/37.47 [refute_0_184 :
% 37.26/37.47 [bind(X,
% 37.26/37.47 $fot(add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'(X_264,
% 37.26/37.47 '==>'('==>'(X_264, A), X_262)))))),
% 37.26/37.47 bind(Y,
% 37.26/37.47 $fot(add(A,
% 37.26/37.47 '==>'(A, add('==>'(X_264, X_262), X_264))))),
% 37.26/37.47 bind(Z,
% 37.26/37.47 $fot(add(A,
% 37.26/37.47 '==>'(A,
% 37.26/37.47 add(X_264, '==>'(X_264, X_262))))))]])).
% 37.26/37.47
% 37.26/37.47 cnf(refute_0_690, plain,
% 37.26/37.47 (add(A, '==>'(A, add('==>'(X_264, X_262), X_264))) !=
% 37.26/37.47 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262)))) |
% 37.26/37.47 add(X_264,
% 37.26/37.47 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) =
% 37.26/37.47 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262))))),
% 37.26/37.47 inference(resolve,
% 37.26/37.47 [$cnf($equal(add(X_264,
% 37.26/37.47 add('==>'(X_264, A),
% 37.26/37.47 '==>'(X_264, '==>'('==>'(X_264, A), X_262)))),
% 37.26/37.47 add(A, '==>'(A, add('==>'(X_264, X_262), X_264)))))],
% 37.26/37.47 [refute_0_688, refute_0_689])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_691, plain,
% 37.26/37.48 (add(X_264,
% 37.26/37.48 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) =
% 37.26/37.48 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262))))),
% 37.26/37.48 inference(resolve,
% 37.26/37.48 [$cnf($equal(add(A,
% 37.26/37.48 '==>'(A, add('==>'(X_264, X_262), X_264))),
% 37.26/37.48 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262))))))],
% 37.26/37.48 [refute_0_680, refute_0_690])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_692, plain,
% 37.26/37.48 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) !=
% 37.26/37.48 add(X_264,
% 37.26/37.48 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) |
% 37.26/37.48 add(X_264,
% 37.26/37.48 add('==>'(X_264, A),
% 37.26/37.48 '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) !=
% 37.26/37.48 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262)))) |
% 37.26/37.48 add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) =
% 37.26/37.48 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262))))),
% 37.26/37.48 introduced(tautology,
% 37.26/37.48 [equality,
% 37.26/37.48 [$cnf(~ $equal(add(X_262,
% 37.26/37.48 '==>'(X_262, add(A, '==>'(A, X_264)))),
% 37.26/37.48 add(A,
% 37.26/37.48 '==>'(A, add(X_264, '==>'(X_264, X_262)))))),
% 37.26/37.48 [0],
% 37.26/37.48 $fot(add(X_264,
% 37.26/37.48 add('==>'(X_264, A),
% 37.26/37.48 '==>'(X_264,
% 37.26/37.48 '==>'('==>'(X_264, A), X_262)))))]])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_693, plain,
% 37.26/37.48 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) !=
% 37.26/37.48 add(X_264,
% 37.26/37.48 add('==>'(X_264, A), '==>'(X_264, '==>'('==>'(X_264, A), X_262)))) |
% 37.26/37.48 add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) =
% 37.26/37.48 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262))))),
% 37.26/37.48 inference(resolve,
% 37.26/37.48 [$cnf($equal(add(X_264,
% 37.26/37.48 add('==>'(X_264, A),
% 37.26/37.48 '==>'(X_264, '==>'('==>'(X_264, A), X_262)))),
% 37.26/37.48 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262))))))],
% 37.26/37.48 [refute_0_691, refute_0_692])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_694, plain,
% 37.26/37.48 (add(X_262, '==>'(X_262, add(A, '==>'(A, X_264)))) =
% 37.26/37.48 add(A, '==>'(A, add(X_264, '==>'(X_264, X_262))))),
% 37.26/37.48 inference(resolve,
% 37.26/37.48 [$cnf($equal(add(X_262,
% 37.26/37.48 '==>'(X_262, add(A, '==>'(A, X_264)))),
% 37.26/37.48 add(X_264,
% 37.26/37.48 add('==>'(X_264, A),
% 37.26/37.48 '==>'(X_264, '==>'('==>'(X_264, A), X_262))))))],
% 37.26/37.48 [refute_0_651, refute_0_693])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_695, plain,
% 37.26/37.48 (add(b, '==>'(b, add(a, '==>'(a, c)))) =
% 37.26/37.48 add(a, '==>'(a, add(c, '==>'(c, b))))),
% 37.26/37.48 inference(subst, [],
% 37.26/37.48 [refute_0_694 :
% 37.26/37.48 [bind(A, $fot(a)), bind(X_262, $fot(b)),
% 37.26/37.48 bind(X_264, $fot(c))]])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_696, plain,
% 37.26/37.48 (add(a, '==>'(a, add(c, '==>'(c, b)))) !=
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c)))) |
% 37.26/37.48 add(b, '==>'(b, add(a, '==>'(a, c)))) !=
% 37.26/37.48 add(a, '==>'(a, add(c, '==>'(c, b)))) |
% 37.26/37.48 add(b, '==>'(b, add(a, '==>'(a, c)))) =
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.48 inference(subst, [],
% 37.26/37.48 [refute_0_184 :
% 37.26/37.48 [bind(X, $fot(add(b, '==>'(b, add(a, '==>'(a, c)))))),
% 37.26/37.48 bind(Y, $fot(add(a, '==>'(a, add(c, '==>'(c, b)))))),
% 37.26/37.48 bind(Z, $fot(add(a, '==>'(a, add(b, '==>'(b, c))))))]])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_697, plain,
% 37.26/37.48 (add(a, '==>'(a, add(c, '==>'(c, b)))) !=
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c)))) |
% 37.26/37.48 add(b, '==>'(b, add(a, '==>'(a, c)))) =
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.48 inference(resolve,
% 37.26/37.48 [$cnf($equal(add(b, '==>'(b, add(a, '==>'(a, c)))),
% 37.26/37.48 add(a, '==>'(a, add(c, '==>'(c, b))))))],
% 37.26/37.48 [refute_0_695, refute_0_696])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_698, plain,
% 37.26/37.48 (add(b, '==>'(b, add(a, '==>'(a, c)))) =
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.48 inference(resolve,
% 37.26/37.48 [$cnf($equal(add(a, '==>'(a, add(c, '==>'(c, b)))),
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))))],
% 37.26/37.48 [refute_0_620, refute_0_697])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_699, plain,
% 37.26/37.48 (add(a, '==>'(a, add(b, '==>'(b, c)))) !=
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c)))) |
% 37.26/37.48 add(b, '==>'(b, add(a, '==>'(a, c)))) !=
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c)))) |
% 37.26/37.48 add(b, '==>'(b, add(a, '==>'(a, c)))) =
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.48 introduced(tautology,
% 37.26/37.48 [equality,
% 37.26/37.48 [$cnf($equal(add(b, '==>'(b, add(a, '==>'(a, c)))),
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c)))))), [1],
% 37.26/37.48 $fot(add(a, '==>'(a, add(b, '==>'(b, c)))))]])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_700, plain,
% 37.26/37.48 (add(a, '==>'(a, add(b, '==>'(b, c)))) !=
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c)))) |
% 37.26/37.48 add(b, '==>'(b, add(a, '==>'(a, c)))) =
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.48 inference(resolve,
% 37.26/37.48 [$cnf($equal(add(b, '==>'(b, add(a, '==>'(a, c)))),
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))))],
% 37.26/37.48 [refute_0_698, refute_0_699])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_701, plain,
% 37.26/37.48 (add(a, '==>'(a, add(b, '==>'(b, c)))) !=
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.48 inference(resolve,
% 37.26/37.48 [$cnf($equal(add(b, '==>'(b, add(a, '==>'(a, c)))),
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))))],
% 37.26/37.48 [refute_0_700, refute_0_366])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_702, plain,
% 37.26/37.48 (add(a, '==>'(a, add(b, '==>'(b, c)))) =
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))),
% 37.26/37.48 introduced(tautology,
% 37.26/37.48 [refl, [$fot(add(a, '==>'(a, add(b, '==>'(b, c)))))]])).
% 37.26/37.48
% 37.26/37.48 cnf(refute_0_703, plain, ($false),
% 37.26/37.48 inference(resolve,
% 37.26/37.48 [$cnf($equal(add(a, '==>'(a, add(b, '==>'(b, c)))),
% 37.26/37.48 add(a, '==>'(a, add(b, '==>'(b, c))))))],
% 37.26/37.48 [refute_0_702, refute_0_701])).
% 37.26/37.48 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.26/37.48
%------------------------------------------------------------------------------