TSTP Solution File: LCL903+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL903+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 12:56:53 EDT 2022
% Result : Theorem 10.24s 10.48s
% Output : CNFRefutation 10.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL903+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 04:12:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 10.24/10.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.24/10.48
% 10.24/10.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.24/10.49 fof(sos_01, axiom, (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C)))).
% 10.24/10.49
% 10.24/10.49 fof(sos_02, axiom, (! [A, B] : add(A, B) = add(B, A))).
% 10.24/10.49
% 10.24/10.49 fof(sos_03, axiom, (! [A] : add(A, 0) = A)).
% 10.24/10.49
% 10.24/10.49 fof(sos_04, axiom, (! [A] : greater_equal(A, A))).
% 10.24/10.49
% 10.24/10.49 fof(sos_06, axiom,
% 10.24/10.49 (! [X3, X4] :
% 10.24/10.49 ((greater_equal(X3, X4) & greater_equal(X4, X3)) => X3 = X4))).
% 10.24/10.49
% 10.24/10.49 fof(sos_07, axiom,
% 10.24/10.49 (! [X5, X6, X7] :
% 10.24/10.49 (greater_equal(add(X5, X6), X7) <=>
% 10.24/10.49 greater_equal(X6, '==>'(X5, X7))))).
% 10.24/10.49
% 10.24/10.49 fof(sos_08, axiom, (! [A] : greater_equal(A, 0))).
% 10.24/10.49
% 10.24/10.49 fof(sos_09, axiom,
% 10.24/10.49 (! [X8, X9, X10] :
% 10.24/10.49 (greater_equal(X8, X9) =>
% 10.24/10.49 greater_equal(add(X8, X10), add(X9, X10))))).
% 10.24/10.49
% 10.24/10.49 fof(sos_10, axiom,
% 10.24/10.49 (! [X11, X12, X13] :
% 10.24/10.49 (greater_equal(X11, X12) =>
% 10.24/10.49 greater_equal('==>'(X12, X13), '==>'(X11, X13))))).
% 10.24/10.49
% 10.24/10.49 fof(sos_11, axiom,
% 10.24/10.49 (! [X14, X15, X16] :
% 10.24/10.49 (greater_equal(X14, X15) =>
% 10.24/10.49 greater_equal('==>'(X16, X14), '==>'(X16, X15))))).
% 10.24/10.49
% 10.24/10.49 fof(sos_12, axiom, (! [A] : add(A, 1) = 1)).
% 10.24/10.49
% 10.24/10.49 fof(sos_13, axiom, (! [A] : '==>'('==>'('==>'(A, 1), A), A) = 0)).
% 10.24/10.49
% 10.24/10.49 fof(goals_14, conjecture, (! [X17] : add(X17, X17) = X17)).
% 10.24/10.49
% 10.24/10.49 fof(subgoal_0, plain, (! [X17] : add(X17, X17) = X17),
% 10.24/10.49 inference(strip, [], [goals_14])).
% 10.24/10.49
% 10.24/10.49 fof(negate_0_0, plain, (~ ! [X17] : add(X17, X17) = X17),
% 10.24/10.49 inference(negate, [], [subgoal_0])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_0, plain, (? [X17] : add(X17, X17) != X17),
% 10.24/10.49 inference(canonicalize, [], [negate_0_0])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_1, plain,
% 10.24/10.49 (add(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) != skolemFOFtoCNF_X17),
% 10.24/10.49 inference(skolemize, [], [normalize_0_0])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_2, plain,
% 10.24/10.49 (! [X3, X4] :
% 10.24/10.49 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 10.24/10.49 inference(canonicalize, [], [sos_06])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_3, plain,
% 10.24/10.49 (! [X3, X4] :
% 10.24/10.49 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 10.24/10.49 inference(specialize, [], [normalize_0_2])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_4, plain,
% 10.24/10.49 (! [X11, X12] :
% 10.24/10.49 (~ greater_equal(X11, X12) |
% 10.24/10.49 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 10.24/10.49 inference(canonicalize, [], [sos_10])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_5, plain,
% 10.24/10.49 (! [X11, X12] :
% 10.24/10.49 (~ greater_equal(X11, X12) |
% 10.24/10.49 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 10.24/10.49 inference(specialize, [], [normalize_0_4])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_6, plain,
% 10.24/10.49 (! [X11, X12, X13] :
% 10.24/10.49 (~ greater_equal(X11, X12) |
% 10.24/10.49 greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 10.24/10.49 inference(clausify, [], [normalize_0_5])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_7, plain, (! [A] : greater_equal(A, 0)),
% 10.24/10.49 inference(canonicalize, [], [sos_08])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_8, plain, (! [A] : greater_equal(A, 0)),
% 10.24/10.49 inference(specialize, [], [normalize_0_7])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_9, plain,
% 10.24/10.49 (! [X8, X9] :
% 10.24/10.49 (~ greater_equal(X8, X9) |
% 10.24/10.49 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 10.24/10.49 inference(canonicalize, [], [sos_09])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_10, plain,
% 10.24/10.49 (! [X8, X9] :
% 10.24/10.49 (~ greater_equal(X8, X9) |
% 10.24/10.49 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 10.24/10.49 inference(specialize, [], [normalize_0_9])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_11, plain,
% 10.24/10.49 (! [X10, X8, X9] :
% 10.24/10.49 (~ greater_equal(X8, X9) |
% 10.24/10.49 greater_equal(add(X8, X10), add(X9, X10)))),
% 10.24/10.49 inference(clausify, [], [normalize_0_10])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_12, plain, (! [A] : add(A, 0) = A),
% 10.24/10.49 inference(canonicalize, [], [sos_03])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_13, plain, (! [A] : add(A, 0) = A),
% 10.24/10.49 inference(specialize, [], [normalize_0_12])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_14, plain, (! [A, B] : add(A, B) = add(B, A)),
% 10.24/10.49 inference(canonicalize, [], [sos_02])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_15, plain, (! [A, B] : add(A, B) = add(B, A)),
% 10.24/10.49 inference(specialize, [], [normalize_0_14])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_16, plain, (! [A] : add(A, 1) = 1),
% 10.24/10.49 inference(canonicalize, [], [sos_12])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_17, plain, (! [A] : add(A, 1) = 1),
% 10.24/10.49 inference(specialize, [], [normalize_0_16])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_18, plain,
% 10.24/10.49 (! [X14, X15] :
% 10.24/10.49 (~ greater_equal(X14, X15) |
% 10.24/10.49 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 10.24/10.49 inference(canonicalize, [], [sos_11])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_19, plain,
% 10.24/10.49 (! [X14, X15] :
% 10.24/10.49 (~ greater_equal(X14, X15) |
% 10.24/10.49 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 10.24/10.49 inference(specialize, [], [normalize_0_18])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_20, plain,
% 10.24/10.49 (! [X14, X15, X16] :
% 10.24/10.49 (~ greater_equal(X14, X15) |
% 10.24/10.49 greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 10.24/10.49 inference(clausify, [], [normalize_0_19])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_21, plain,
% 10.24/10.49 (! [X5, X6, X7] :
% 10.24/10.49 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 10.24/10.49 ~ greater_equal(add(X5, X6), X7))),
% 10.24/10.49 inference(canonicalize, [], [sos_07])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_22, plain,
% 10.24/10.49 (! [X5, X6, X7] :
% 10.24/10.49 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 10.24/10.49 ~ greater_equal(add(X5, X6), X7))),
% 10.24/10.49 inference(specialize, [], [normalize_0_21])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_23, plain,
% 10.24/10.49 (! [X5, X6, X7] :
% 10.24/10.49 ((~ greater_equal(X6, '==>'(X5, X7)) |
% 10.24/10.49 greater_equal(add(X5, X6), X7)) &
% 10.24/10.49 (~ greater_equal(add(X5, X6), X7) |
% 10.24/10.49 greater_equal(X6, '==>'(X5, X7))))),
% 10.24/10.49 inference(clausify, [], [normalize_0_22])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_24, plain,
% 10.24/10.49 (! [X5, X6, X7] :
% 10.24/10.49 (~ greater_equal(X6, '==>'(X5, X7)) |
% 10.24/10.49 greater_equal(add(X5, X6), X7))),
% 10.24/10.49 inference(conjunct, [], [normalize_0_23])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_25, plain, (! [A] : greater_equal(A, A)),
% 10.24/10.49 inference(canonicalize, [], [sos_04])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_26, plain, (! [A] : greater_equal(A, A)),
% 10.24/10.49 inference(specialize, [], [normalize_0_25])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_27, plain, (! [A] : '==>'('==>'('==>'(A, 1), A), A) = 0),
% 10.24/10.49 inference(canonicalize, [], [sos_13])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_28, plain, (! [A] : '==>'('==>'('==>'(A, 1), A), A) = 0),
% 10.24/10.49 inference(specialize, [], [normalize_0_27])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_29, plain,
% 10.24/10.49 (! [X5, X6, X7] :
% 10.24/10.49 (~ greater_equal(add(X5, X6), X7) |
% 10.24/10.49 greater_equal(X6, '==>'(X5, X7)))),
% 10.24/10.49 inference(conjunct, [], [normalize_0_23])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_30, plain,
% 10.24/10.49 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 10.24/10.49 inference(canonicalize, [], [sos_01])).
% 10.24/10.49
% 10.24/10.49 fof(normalize_0_31, plain,
% 10.24/10.49 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 10.24/10.49 inference(specialize, [], [normalize_0_30])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_0, plain,
% 10.24/10.49 (add(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) != skolemFOFtoCNF_X17),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_1])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_1, plain,
% 10.24/10.49 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_3])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_2, plain,
% 10.24/10.49 (~
% 10.24/10.49 greater_equal(add('==>'(X_1082, 1), X_1083),
% 10.24/10.49 '==>'('==>'(X_1083, X_1082), 1)) |
% 10.24/10.49 ~
% 10.24/10.49 greater_equal('==>'('==>'(X_1083, X_1082), 1),
% 10.24/10.49 add('==>'(X_1082, 1), X_1083)) |
% 10.24/10.49 add('==>'(X_1082, 1), X_1083) = '==>'('==>'(X_1083, X_1082), 1)),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_1 :
% 10.24/10.49 [bind(X3, $fot(add('==>'(X_1082, 1), X_1083))),
% 10.24/10.49 bind(X4, $fot('==>'('==>'(X_1083, X_1082), 1)))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_3, plain,
% 10.24/10.49 (~ greater_equal(X11, X12) |
% 10.24/10.49 greater_equal('==>'(X12, X13), '==>'(X11, X13))),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_6])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_4, plain,
% 10.24/10.49 (~ greater_equal('==>'(X_342, 1), '==>'(X_342, X_341)) |
% 10.24/10.49 greater_equal('==>'('==>'(X_342, X_341), X13),
% 10.24/10.49 '==>'('==>'(X_342, 1), X13))),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_3 :
% 10.24/10.49 [bind(X11, $fot('==>'(X_342, 1))),
% 10.24/10.49 bind(X12, $fot('==>'(X_342, X_341)))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_5, plain, (greater_equal(A, 0)),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_8])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_6, plain, (greater_equal(X_22, 0)),
% 10.24/10.49 inference(subst, [], [refute_0_5 : [bind(A, $fot(X_22))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_7, plain,
% 10.24/10.49 (~ greater_equal(X8, X9) | greater_equal(add(X8, X10), add(X9, X10))),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_11])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_8, plain,
% 10.24/10.49 (~ greater_equal(X_22, 0) |
% 10.24/10.49 greater_equal(add(X_22, X_21), add(0, X_21))),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_7 :
% 10.24/10.49 [bind(X10, $fot(X_21)), bind(X8, $fot(X_22)),
% 10.24/10.49 bind(X9, $fot(0))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_9, plain, (greater_equal(add(X_22, X_21), add(0, X_21))),
% 10.24/10.49 inference(resolve, [$cnf(greater_equal(X_22, 0))],
% 10.24/10.49 [refute_0_6, refute_0_8])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_10, plain, (add(A, 0) = A),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_13])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_11, plain, (add(A, B) = add(B, A)),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_15])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_12, plain, (add(A, 0) = add(0, A)),
% 10.24/10.49 inference(subst, [], [refute_0_11 : [bind(B, $fot(0))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_13, plain,
% 10.24/10.49 (add(A, 0) != A | add(A, 0) != add(0, A) | add(0, A) = A),
% 10.24/10.49 introduced(tautology,
% 10.24/10.49 [equality,
% 10.24/10.49 [$cnf($equal(add(A, 0), A)), [0], $fot(add(0, A))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_14, plain, (add(A, 0) != A | add(0, A) = A),
% 10.24/10.49 inference(resolve, [$cnf($equal(add(A, 0), add(0, A)))],
% 10.24/10.49 [refute_0_12, refute_0_13])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_15, plain, (add(0, A) = A),
% 10.24/10.49 inference(resolve, [$cnf($equal(add(A, 0), A))],
% 10.24/10.49 [refute_0_10, refute_0_14])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_16, plain, (add(0, X_21) = X_21),
% 10.24/10.49 inference(subst, [], [refute_0_15 : [bind(A, $fot(X_21))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_17, plain,
% 10.24/10.49 (add(0, X_21) != X_21 |
% 10.24/10.49 ~ greater_equal(add(X_22, X_21), add(0, X_21)) |
% 10.24/10.49 greater_equal(add(X_22, X_21), X_21)),
% 10.24/10.49 introduced(tautology,
% 10.24/10.49 [equality,
% 10.24/10.49 [$cnf(greater_equal(add(X_22, X_21), add(0, X_21))), [1],
% 10.24/10.49 $fot(X_21)]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_18, plain,
% 10.24/10.49 (~ greater_equal(add(X_22, X_21), add(0, X_21)) |
% 10.24/10.49 greater_equal(add(X_22, X_21), X_21)),
% 10.24/10.49 inference(resolve, [$cnf($equal(add(0, X_21), X_21))],
% 10.24/10.49 [refute_0_16, refute_0_17])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_19, plain, (greater_equal(add(X_22, X_21), X_21)),
% 10.24/10.49 inference(resolve,
% 10.24/10.49 [$cnf(greater_equal(add(X_22, X_21), add(0, X_21)))],
% 10.24/10.49 [refute_0_9, refute_0_18])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_20, plain, (greater_equal(add(1, X_24), X_24)),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_19 :
% 10.24/10.49 [bind(X_21, $fot(X_24)), bind(X_22, $fot(1))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_21, plain, (add(A, 1) = 1),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_17])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_22, plain, (add(A, 1) = add(1, A)),
% 10.24/10.49 inference(subst, [], [refute_0_11 : [bind(B, $fot(1))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_23, plain,
% 10.24/10.49 (add(A, 1) != add(1, A) | add(A, 1) != 1 | add(1, A) = 1),
% 10.24/10.49 introduced(tautology,
% 10.24/10.49 [equality,
% 10.24/10.49 [$cnf($equal(add(A, 1), 1)), [0], $fot(add(1, A))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_24, plain, (add(A, 1) != 1 | add(1, A) = 1),
% 10.24/10.49 inference(resolve, [$cnf($equal(add(A, 1), add(1, A)))],
% 10.24/10.49 [refute_0_22, refute_0_23])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_25, plain, (add(1, A) = 1),
% 10.24/10.49 inference(resolve, [$cnf($equal(add(A, 1), 1))],
% 10.24/10.49 [refute_0_21, refute_0_24])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_26, plain, (add(1, X_24) = 1),
% 10.24/10.49 inference(subst, [], [refute_0_25 : [bind(A, $fot(X_24))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_27, plain,
% 10.24/10.49 (add(1, X_24) != 1 | ~ greater_equal(add(1, X_24), X_24) |
% 10.24/10.49 greater_equal(1, X_24)),
% 10.24/10.49 introduced(tautology,
% 10.24/10.49 [equality,
% 10.24/10.49 [$cnf(greater_equal(add(1, X_24), X_24)), [0], $fot(1)]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_28, plain,
% 10.24/10.49 (~ greater_equal(add(1, X_24), X_24) | greater_equal(1, X_24)),
% 10.24/10.49 inference(resolve, [$cnf($equal(add(1, X_24), 1))],
% 10.24/10.49 [refute_0_26, refute_0_27])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_29, plain, (greater_equal(1, X_24)),
% 10.24/10.49 inference(resolve, [$cnf(greater_equal(add(1, X_24), X_24))],
% 10.24/10.49 [refute_0_20, refute_0_28])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_30, plain, (greater_equal(1, X_339)),
% 10.24/10.49 inference(subst, [], [refute_0_29 : [bind(X_24, $fot(X_339))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_31, plain,
% 10.24/10.49 (~ greater_equal(X14, X15) |
% 10.24/10.49 greater_equal('==>'(X16, X14), '==>'(X16, X15))),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_20])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_32, plain,
% 10.24/10.49 (~ greater_equal(1, X_339) |
% 10.24/10.49 greater_equal('==>'(X_340, 1), '==>'(X_340, X_339))),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_31 :
% 10.24/10.49 [bind(X14, $fot(1)), bind(X15, $fot(X_339)),
% 10.24/10.49 bind(X16, $fot(X_340))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_33, plain,
% 10.24/10.49 (greater_equal('==>'(X_340, 1), '==>'(X_340, X_339))),
% 10.24/10.49 inference(resolve, [$cnf(greater_equal(1, X_339))],
% 10.24/10.49 [refute_0_30, refute_0_32])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_34, plain,
% 10.24/10.49 (greater_equal('==>'(X_342, 1), '==>'(X_342, X_341))),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_33 :
% 10.24/10.49 [bind(X_339, $fot(X_341)), bind(X_340, $fot(X_342))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_35, plain,
% 10.24/10.49 (greater_equal('==>'('==>'(X_342, X_341), X13),
% 10.24/10.49 '==>'('==>'(X_342, 1), X13))),
% 10.24/10.49 inference(resolve,
% 10.24/10.49 [$cnf(greater_equal('==>'(X_342, 1), '==>'(X_342, X_341)))],
% 10.24/10.49 [refute_0_34, refute_0_4])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_36, plain,
% 10.24/10.49 (greater_equal('==>'('==>'(X_1075, X_1074), 1),
% 10.24/10.49 '==>'('==>'(X_1075, 1), 1))),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_35 :
% 10.24/10.49 [bind(X13, $fot(1)), bind(X_341, $fot(X_1074)),
% 10.24/10.49 bind(X_342, $fot(X_1075))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_37, plain,
% 10.24/10.49 (~
% 10.24/10.49 greater_equal(X_724,
% 10.24/10.49 '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1)) |
% 10.24/10.49 ~
% 10.24/10.49 greater_equal('==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1),
% 10.24/10.49 X_724) | X_724 = '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1)),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_1 :
% 10.24/10.49 [bind(X3, $fot(X_724)),
% 10.24/10.49 bind(X4,
% 10.24/10.49 $fot('==>'('==>'('==>'('==>'(X_724, 1), 1), 1),
% 10.24/10.49 1)))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_38, plain,
% 10.24/10.49 (~ greater_equal(X6, '==>'(X5, X7)) | greater_equal(add(X5, X6), X7)),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_24])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_39, plain,
% 10.24/10.49 (~
% 10.24/10.49 greater_equal(0,
% 10.24/10.49 '==>'('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), X_721)) |
% 10.24/10.49 greater_equal(add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0),
% 10.24/10.49 X_721)),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_38 :
% 10.24/10.49 [bind(X5,
% 10.24/10.49 $fot('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1))),
% 10.24/10.49 bind(X6, $fot(0)), bind(X7, $fot(X_721))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_40, plain, (greater_equal(A, A)),
% 10.24/10.49 inference(canonicalize, [], [normalize_0_26])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_41, plain,
% 10.24/10.49 (greater_equal('==>'(X_84, X_86), '==>'(X_84, X_86))),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_40 : [bind(A, $fot('==>'(X_84, X_86)))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_42, plain,
% 10.24/10.49 (~ greater_equal('==>'(X_84, X_86), '==>'(X_84, X_86)) |
% 10.24/10.49 greater_equal(add(X_84, '==>'(X_84, X_86)), X_86)),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_38 :
% 10.24/10.49 [bind(X5, $fot(X_84)), bind(X6, $fot('==>'(X_84, X_86))),
% 10.24/10.49 bind(X7, $fot(X_86))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_43, plain,
% 10.24/10.49 (greater_equal(add(X_84, '==>'(X_84, X_86)), X_86)),
% 10.24/10.49 inference(resolve,
% 10.24/10.49 [$cnf(greater_equal('==>'(X_84, X_86), '==>'(X_84, X_86)))],
% 10.24/10.49 [refute_0_41, refute_0_42])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_44, plain,
% 10.24/10.49 (greater_equal(add(X_84, '==>'(X_84, X_339)), X_339)),
% 10.24/10.49 inference(subst, [], [refute_0_43 : [bind(X_86, $fot(X_339))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_45, plain,
% 10.24/10.49 (~ greater_equal(add(X_84, '==>'(X_84, X_339)), X_339) |
% 10.24/10.49 greater_equal('==>'(X_340, add(X_84, '==>'(X_84, X_339))),
% 10.24/10.49 '==>'(X_340, X_339))),
% 10.24/10.49 inference(subst, [],
% 10.24/10.49 [refute_0_31 :
% 10.24/10.49 [bind(X14, $fot(add(X_84, '==>'(X_84, X_339)))),
% 10.24/10.49 bind(X15, $fot(X_339)), bind(X16, $fot(X_340))]])).
% 10.24/10.49
% 10.24/10.49 cnf(refute_0_46, plain,
% 10.24/10.49 (greater_equal('==>'(X_340, add(X_84, '==>'(X_84, X_339))),
% 10.24/10.49 '==>'(X_340, X_339))),
% 10.24/10.49 inference(resolve,
% 10.34/10.49 [$cnf(greater_equal(add(X_84, '==>'(X_84, X_339)), X_339))],
% 10.34/10.49 [refute_0_44, refute_0_45])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_47, plain,
% 10.34/10.49 (greater_equal('==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1),
% 10.34/10.49 1), add(X_710, '==>'(X_710, X_708))),
% 10.34/10.49 '==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1), 1), X_708))),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_46 :
% 10.34/10.49 [bind(X_339, $fot(X_708)),
% 10.34/10.49 bind(X_340,
% 10.34/10.49 $fot('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1),
% 10.34/10.49 1))), bind(X_84, $fot(X_710))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_48, plain, (greater_equal(X_403, 0)),
% 10.34/10.49 inference(subst, [], [refute_0_5 : [bind(A, $fot(X_403))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_49, plain,
% 10.34/10.49 (~ greater_equal(X_403, 0) | ~ greater_equal(0, X_403) | X_403 = 0),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_1 : [bind(X3, $fot(X_403)), bind(X4, $fot(0))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_50, plain, (~ greater_equal(0, X_403) | X_403 = 0),
% 10.34/10.49 inference(resolve, [$cnf(greater_equal(X_403, 0))],
% 10.34/10.49 [refute_0_48, refute_0_49])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_51, plain,
% 10.34/10.49 (~ greater_equal(0, '==>'('==>'('==>'(X_453, 1), 1), X_453)) |
% 10.34/10.49 '==>'('==>'('==>'(X_453, 1), 1), X_453) = 0),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_50 :
% 10.34/10.49 [bind(X_403,
% 10.34/10.49 $fot('==>'('==>'('==>'(X_453, 1), 1), X_453)))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_52, plain,
% 10.34/10.49 (~ greater_equal('==>'('==>'(X_411, 1), 1), X_411) |
% 10.34/10.49 greater_equal('==>'(X_411, X13),
% 10.34/10.49 '==>'('==>'('==>'(X_411, 1), 1), X13))),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_3 :
% 10.34/10.49 [bind(X11, $fot('==>'('==>'(X_411, 1), 1))),
% 10.34/10.49 bind(X12, $fot(X_411))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_53, plain,
% 10.34/10.49 (greater_equal('==>'('==>'(X_339, 1), 1),
% 10.34/10.49 '==>'('==>'(X_339, 1), X_339))),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_33 : [bind(X_340, $fot('==>'(X_339, 1)))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_54, plain,
% 10.34/10.49 (~
% 10.34/10.49 greater_equal('==>'('==>'('==>'(X5, X7), 1), '==>'(X5, X7)),
% 10.34/10.49 '==>'(X5, X7)) |
% 10.34/10.49 greater_equal(add(X5, '==>'('==>'('==>'(X5, X7), 1), '==>'(X5, X7))),
% 10.34/10.49 X7)),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_38 :
% 10.34/10.49 [bind(X6,
% 10.34/10.49 $fot('==>'('==>'('==>'(X5, X7), 1),
% 10.34/10.49 '==>'(X5, X7))))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_55, plain,
% 10.34/10.49 (greater_equal(add('==>'('==>'(X_88, 1), X_88),
% 10.34/10.49 '==>'('==>'('==>'(X_88, 1), X_88), X_88)), X_88)),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_43 :
% 10.34/10.49 [bind(X_84, $fot('==>'('==>'(X_88, 1), X_88))),
% 10.34/10.49 bind(X_86, $fot(X_88))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_56, plain, ('==>'('==>'('==>'(A, 1), A), A) = 0),
% 10.34/10.49 inference(canonicalize, [], [normalize_0_28])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_57, plain, ('==>'('==>'('==>'(X_88, 1), X_88), X_88) = 0),
% 10.34/10.49 inference(subst, [], [refute_0_56 : [bind(A, $fot(X_88))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_58, plain,
% 10.34/10.49 ('==>'('==>'('==>'(X_88, 1), X_88), X_88) != 0 |
% 10.34/10.49 ~
% 10.34/10.49 greater_equal(add('==>'('==>'(X_88, 1), X_88),
% 10.34/10.49 '==>'('==>'('==>'(X_88, 1), X_88), X_88)), X_88) |
% 10.34/10.49 greater_equal(add('==>'('==>'(X_88, 1), X_88), 0), X_88)),
% 10.34/10.49 introduced(tautology,
% 10.34/10.49 [equality,
% 10.34/10.49 [$cnf(greater_equal(add('==>'('==>'(X_88, 1), X_88),
% 10.34/10.49 '==>'('==>'('==>'(X_88, 1), X_88), X_88)),
% 10.34/10.49 X_88)), [0, 1], $fot(0)]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_59, plain,
% 10.34/10.49 (~
% 10.34/10.49 greater_equal(add('==>'('==>'(X_88, 1), X_88),
% 10.34/10.49 '==>'('==>'('==>'(X_88, 1), X_88), X_88)), X_88) |
% 10.34/10.49 greater_equal(add('==>'('==>'(X_88, 1), X_88), 0), X_88)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf($equal('==>'('==>'('==>'(X_88, 1), X_88), X_88), 0))],
% 10.34/10.49 [refute_0_57, refute_0_58])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_60, plain,
% 10.34/10.49 (greater_equal(add('==>'('==>'(X_88, 1), X_88), 0), X_88)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf(greater_equal(add('==>'('==>'(X_88, 1), X_88),
% 10.34/10.49 '==>'('==>'('==>'(X_88, 1), X_88), X_88)), X_88))],
% 10.34/10.49 [refute_0_55, refute_0_59])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_61, plain,
% 10.34/10.49 (add('==>'('==>'(X_88, 1), X_88), 0) = '==>'('==>'(X_88, 1), X_88)),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_10 :
% 10.34/10.49 [bind(A, $fot('==>'('==>'(X_88, 1), X_88)))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_62, plain,
% 10.34/10.49 (add('==>'('==>'(X_88, 1), X_88), 0) != '==>'('==>'(X_88, 1), X_88) |
% 10.34/10.49 ~ greater_equal(add('==>'('==>'(X_88, 1), X_88), 0), X_88) |
% 10.34/10.49 greater_equal('==>'('==>'(X_88, 1), X_88), X_88)),
% 10.34/10.49 introduced(tautology,
% 10.34/10.49 [equality,
% 10.34/10.49 [$cnf(greater_equal(add('==>'('==>'(X_88, 1), X_88), 0),
% 10.34/10.49 X_88)), [0], $fot('==>'('==>'(X_88, 1), X_88))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_63, plain,
% 10.34/10.49 (~ greater_equal(add('==>'('==>'(X_88, 1), X_88), 0), X_88) |
% 10.34/10.49 greater_equal('==>'('==>'(X_88, 1), X_88), X_88)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf($equal(add('==>'('==>'(X_88, 1), X_88), 0),
% 10.34/10.49 '==>'('==>'(X_88, 1), X_88)))],
% 10.34/10.49 [refute_0_61, refute_0_62])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_64, plain, (greater_equal('==>'('==>'(X_88, 1), X_88), X_88)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf(greater_equal(add('==>'('==>'(X_88, 1), X_88), 0),
% 10.34/10.49 X_88))], [refute_0_60, refute_0_63])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_65, plain,
% 10.34/10.49 (greater_equal('==>'('==>'('==>'(X5, X7), 1), '==>'(X5, X7)),
% 10.34/10.49 '==>'(X5, X7))),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_64 : [bind(X_88, $fot('==>'(X5, X7)))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_66, plain,
% 10.34/10.49 (greater_equal(add(X5, '==>'('==>'('==>'(X5, X7), 1), '==>'(X5, X7))),
% 10.34/10.49 X7)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf(greater_equal('==>'('==>'('==>'(X5, X7), 1),
% 10.34/10.49 '==>'(X5, X7)), '==>'(X5, X7)))],
% 10.34/10.49 [refute_0_65, refute_0_54])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_67, plain,
% 10.34/10.49 (greater_equal(add(0,
% 10.34/10.49 '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146))), X_146)),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_66 : [bind(X5, $fot(0)), bind(X7, $fot(X_146))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_68, plain,
% 10.34/10.49 (add(0, '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146))) =
% 10.34/10.49 '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146))),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_15 :
% 10.34/10.49 [bind(A,
% 10.34/10.49 $fot('==>'('==>'('==>'(0, X_146), 1),
% 10.34/10.49 '==>'(0, X_146))))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_69, plain,
% 10.34/10.49 (add(0, '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146))) !=
% 10.34/10.49 '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146)) |
% 10.34/10.49 ~
% 10.34/10.49 greater_equal(add(0,
% 10.34/10.49 '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146))), X_146) |
% 10.34/10.49 greater_equal('==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146)),
% 10.34/10.49 X_146)),
% 10.34/10.49 introduced(tautology,
% 10.34/10.49 [equality,
% 10.34/10.49 [$cnf(greater_equal(add(0,
% 10.34/10.49 '==>'('==>'('==>'(0, X_146), 1),
% 10.34/10.49 '==>'(0, X_146))), X_146)), [0],
% 10.34/10.49 $fot('==>'('==>'('==>'(0, X_146), 1),
% 10.34/10.49 '==>'(0, X_146)))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_70, plain,
% 10.34/10.49 (~
% 10.34/10.49 greater_equal(add(0,
% 10.34/10.49 '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146))), X_146) |
% 10.34/10.49 greater_equal('==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146)),
% 10.34/10.49 X_146)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf($equal(add(0,
% 10.34/10.49 '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146))),
% 10.34/10.49 '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146))))],
% 10.34/10.49 [refute_0_68, refute_0_69])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_71, plain,
% 10.34/10.49 (greater_equal('==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146)),
% 10.34/10.49 X_146)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf(greater_equal(add(0,
% 10.34/10.49 '==>'('==>'('==>'(0, X_146), 1), '==>'(0, X_146))),
% 10.34/10.49 X_146))], [refute_0_67, refute_0_70])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_72, plain,
% 10.34/10.49 (greater_equal('==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)),
% 10.34/10.49 X_404)),
% 10.34/10.49 inference(subst, [], [refute_0_71 : [bind(X_146, $fot(X_404))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_73, plain,
% 10.34/10.49 (~
% 10.34/10.49 greater_equal(X_404,
% 10.34/10.49 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404))) |
% 10.34/10.49 ~
% 10.34/10.49 greater_equal('==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)),
% 10.34/10.49 X_404) |
% 10.34/10.49 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) = X_404),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_1 :
% 10.34/10.49 [bind(X3,
% 10.34/10.49 $fot('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.49 '==>'(0, X_404)))), bind(X4, $fot(X_404))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_74, plain,
% 10.34/10.49 (~
% 10.34/10.49 greater_equal(X_404,
% 10.34/10.49 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404))) |
% 10.34/10.49 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) = X_404),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf(greater_equal('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.49 '==>'(0, X_404)), X_404))],
% 10.34/10.49 [refute_0_72, refute_0_73])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_75, plain, (greater_equal(add(0, '==>'(0, X_88)), X_88)),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_43 :
% 10.34/10.49 [bind(X_84, $fot(0)), bind(X_86, $fot(X_88))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_76, plain, (add(0, '==>'(0, X_88)) = '==>'(0, X_88)),
% 10.34/10.49 inference(subst, [], [refute_0_15 : [bind(A, $fot('==>'(0, X_88)))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_77, plain,
% 10.34/10.49 (add(0, '==>'(0, X_88)) != '==>'(0, X_88) |
% 10.34/10.49 ~ greater_equal(add(0, '==>'(0, X_88)), X_88) |
% 10.34/10.49 greater_equal('==>'(0, X_88), X_88)),
% 10.34/10.49 introduced(tautology,
% 10.34/10.49 [equality,
% 10.34/10.49 [$cnf(greater_equal(add(0, '==>'(0, X_88)), X_88)), [0],
% 10.34/10.49 $fot('==>'(0, X_88))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_78, plain,
% 10.34/10.49 (~ greater_equal(add(0, '==>'(0, X_88)), X_88) |
% 10.34/10.49 greater_equal('==>'(0, X_88), X_88)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf($equal(add(0, '==>'(0, X_88)), '==>'(0, X_88)))],
% 10.34/10.49 [refute_0_76, refute_0_77])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_79, plain, (greater_equal('==>'(0, X_88), X_88)),
% 10.34/10.49 inference(resolve, [$cnf(greater_equal(add(0, '==>'(0, X_88)), X_88))],
% 10.34/10.49 [refute_0_75, refute_0_78])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_80, plain, (greater_equal('==>'(0, X_404), X_404)),
% 10.34/10.49 inference(subst, [], [refute_0_79 : [bind(X_88, $fot(X_404))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_81, plain,
% 10.34/10.49 (~ greater_equal(X_404, '==>'(0, X_404)) |
% 10.34/10.49 ~ greater_equal('==>'(0, X_404), X_404) | '==>'(0, X_404) = X_404),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_1 :
% 10.34/10.49 [bind(X3, $fot('==>'(0, X_404))), bind(X4, $fot(X_404))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_82, plain,
% 10.34/10.49 (~ greater_equal(X_404, '==>'(0, X_404)) | '==>'(0, X_404) = X_404),
% 10.34/10.49 inference(resolve, [$cnf(greater_equal('==>'(0, X_404), X_404))],
% 10.34/10.49 [refute_0_80, refute_0_81])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_83, plain, (greater_equal(add(X_148, X_150), X_150)),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_19 :
% 10.34/10.49 [bind(X_21, $fot(X_150)), bind(X_22, $fot(X_148))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_84, plain,
% 10.34/10.49 (~ greater_equal(add(X5, X6), X7) | greater_equal(X6, '==>'(X5, X7))),
% 10.34/10.49 inference(canonicalize, [], [normalize_0_29])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_85, plain,
% 10.34/10.49 (~ greater_equal(add(X_148, X_150), X_150) |
% 10.34/10.49 greater_equal(X_150, '==>'(X_148, X_150))),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_84 :
% 10.34/10.49 [bind(X5, $fot(X_148)), bind(X6, $fot(X_150)),
% 10.34/10.49 bind(X7, $fot(X_150))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_86, plain, (greater_equal(X_150, '==>'(X_148, X_150))),
% 10.34/10.49 inference(resolve, [$cnf(greater_equal(add(X_148, X_150), X_150))],
% 10.34/10.49 [refute_0_83, refute_0_85])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_87, plain, (greater_equal(X_404, '==>'(0, X_404))),
% 10.34/10.49 inference(subst, [],
% 10.34/10.49 [refute_0_86 :
% 10.34/10.49 [bind(X_148, $fot(0)), bind(X_150, $fot(X_404))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_88, plain, ('==>'(0, X_404) = X_404),
% 10.34/10.49 inference(resolve, [$cnf(greater_equal(X_404, '==>'(0, X_404)))],
% 10.34/10.49 [refute_0_87, refute_0_82])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_89, plain,
% 10.34/10.49 ('==>'('==>'(X_404, 1), '==>'(0, X_404)) =
% 10.34/10.49 '==>'('==>'(X_404, 1), '==>'(0, X_404))),
% 10.34/10.49 introduced(tautology,
% 10.34/10.49 [refl, [$fot('==>'('==>'(X_404, 1), '==>'(0, X_404)))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_90, plain,
% 10.34/10.49 ('==>'(0, X_404) != X_404 |
% 10.34/10.49 '==>'('==>'(X_404, 1), '==>'(0, X_404)) !=
% 10.34/10.49 '==>'('==>'(X_404, 1), '==>'(0, X_404)) |
% 10.34/10.49 '==>'('==>'(X_404, 1), '==>'(0, X_404)) =
% 10.34/10.49 '==>'('==>'(X_404, 1), X_404)),
% 10.34/10.49 introduced(tautology,
% 10.34/10.49 [equality,
% 10.34/10.49 [$cnf($equal('==>'('==>'(X_404, 1), '==>'(0, X_404)),
% 10.34/10.49 '==>'('==>'(X_404, 1), '==>'(0, X_404)))), [1, 1],
% 10.34/10.49 $fot(X_404)]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_91, plain,
% 10.34/10.49 ('==>'(0, X_404) != X_404 |
% 10.34/10.49 '==>'('==>'(X_404, 1), '==>'(0, X_404)) =
% 10.34/10.49 '==>'('==>'(X_404, 1), X_404)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf($equal('==>'('==>'(X_404, 1), '==>'(0, X_404)),
% 10.34/10.49 '==>'('==>'(X_404, 1), '==>'(0, X_404))))],
% 10.34/10.49 [refute_0_89, refute_0_90])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_92, plain,
% 10.34/10.49 ('==>'('==>'(X_404, 1), '==>'(0, X_404)) =
% 10.34/10.49 '==>'('==>'(X_404, 1), X_404)),
% 10.34/10.49 inference(resolve, [$cnf($equal('==>'(0, X_404), X_404))],
% 10.34/10.49 [refute_0_88, refute_0_91])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_93, plain,
% 10.34/10.49 ('==>'('==>'(0, X_404), 1) = '==>'('==>'(0, X_404), 1)),
% 10.34/10.49 introduced(tautology, [refl, [$fot('==>'('==>'(0, X_404), 1))]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_94, plain,
% 10.34/10.49 ('==>'(0, X_404) != X_404 |
% 10.34/10.49 '==>'('==>'(0, X_404), 1) != '==>'('==>'(0, X_404), 1) |
% 10.34/10.49 '==>'('==>'(0, X_404), 1) = '==>'(X_404, 1)),
% 10.34/10.49 introduced(tautology,
% 10.34/10.49 [equality,
% 10.34/10.49 [$cnf($equal('==>'('==>'(0, X_404), 1),
% 10.34/10.49 '==>'('==>'(0, X_404), 1))), [1, 0],
% 10.34/10.49 $fot(X_404)]])).
% 10.34/10.49
% 10.34/10.49 cnf(refute_0_95, plain,
% 10.34/10.49 ('==>'(0, X_404) != X_404 |
% 10.34/10.49 '==>'('==>'(0, X_404), 1) = '==>'(X_404, 1)),
% 10.34/10.49 inference(resolve,
% 10.34/10.49 [$cnf($equal('==>'('==>'(0, X_404), 1),
% 10.34/10.49 '==>'('==>'(0, X_404), 1)))],
% 10.34/10.49 [refute_0_93, refute_0_94])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_96, plain, ('==>'('==>'(0, X_404), 1) = '==>'(X_404, 1)),
% 10.34/10.50 inference(resolve, [$cnf($equal('==>'(0, X_404), X_404))],
% 10.34/10.50 [refute_0_88, refute_0_95])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_97, plain,
% 10.34/10.50 ('==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) =
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404))),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [refl,
% 10.34/10.50 [$fot('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_98, plain,
% 10.34/10.50 ('==>'('==>'(0, X_404), 1) != '==>'(X_404, 1) |
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) !=
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) |
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) =
% 10.34/10.50 '==>'('==>'(X_404, 1), '==>'(0, X_404))),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [equality,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)),
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)))), [1, 0],
% 10.34/10.50 $fot('==>'(X_404, 1))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_99, plain,
% 10.34/10.50 ('==>'('==>'(0, X_404), 1) != '==>'(X_404, 1) |
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) =
% 10.34/10.50 '==>'('==>'(X_404, 1), '==>'(0, X_404))),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)),
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404))))],
% 10.34/10.50 [refute_0_97, refute_0_98])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_100, plain,
% 10.34/10.50 ('==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) =
% 10.34/10.50 '==>'('==>'(X_404, 1), '==>'(0, X_404))),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'(0, X_404), 1), '==>'(X_404, 1)))],
% 10.34/10.50 [refute_0_96, refute_0_99])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_101, plain, (X = X),
% 10.34/10.50 introduced(tautology, [refl, [$fot(X)]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_102, plain, (X != X | X != Y | Y = X),
% 10.34/10.50 introduced(tautology, [equality, [$cnf($equal(X, X)), [0], $fot(Y)]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_103, plain, (X != Y | Y = X),
% 10.34/10.50 inference(resolve, [$cnf($equal(X, X))],
% 10.34/10.50 [refute_0_101, refute_0_102])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_104, plain, (Y != X | Y != Z | X = Z),
% 10.34/10.50 introduced(tautology, [equality, [$cnf($equal(Y, Z)), [0], $fot(X)]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_105, plain, (X != Y | Y != Z | X = Z),
% 10.34/10.50 inference(resolve, [$cnf($equal(Y, X))],
% 10.34/10.50 [refute_0_103, refute_0_104])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_106, plain,
% 10.34/10.50 ('==>'('==>'(X_404, 1), '==>'(0, X_404)) !=
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404) |
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) !=
% 10.34/10.50 '==>'('==>'(X_404, 1), '==>'(0, X_404)) |
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) =
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404)),
% 10.34/10.50 inference(subst, [],
% 10.34/10.50 [refute_0_105 :
% 10.34/10.50 [bind(X,
% 10.34/10.50 $fot('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)))),
% 10.34/10.50 bind(Y, $fot('==>'('==>'(X_404, 1), '==>'(0, X_404)))),
% 10.34/10.50 bind(Z, $fot('==>'('==>'(X_404, 1), X_404)))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_107, plain,
% 10.34/10.50 ('==>'('==>'(X_404, 1), '==>'(0, X_404)) !=
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404) |
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) =
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404)),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)),
% 10.34/10.50 '==>'('==>'(X_404, 1), '==>'(0, X_404))))],
% 10.34/10.50 [refute_0_100, refute_0_106])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_108, plain,
% 10.34/10.50 ('==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) =
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404)),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'(X_404, 1), '==>'(0, X_404)),
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404)))],
% 10.34/10.50 [refute_0_92, refute_0_107])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_109, plain,
% 10.34/10.50 ('==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) !=
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404) |
% 10.34/10.50 ~ greater_equal(X_404, '==>'('==>'(X_404, 1), X_404)) |
% 10.34/10.50 greater_equal(X_404,
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)))),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [equality,
% 10.34/10.50 [$cnf(~ greater_equal(X_404,
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)))), [1],
% 10.34/10.50 $fot('==>'('==>'(X_404, 1), X_404))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_110, plain,
% 10.34/10.50 (~ greater_equal(X_404, '==>'('==>'(X_404, 1), X_404)) |
% 10.34/10.50 greater_equal(X_404,
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)))),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)), '==>'('==>'(X_404, 1), X_404)))],
% 10.34/10.50 [refute_0_108, refute_0_109])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_111, plain,
% 10.34/10.50 (~ greater_equal(X_404, '==>'('==>'(X_404, 1), X_404)) |
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) = X_404),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf(greater_equal(X_404,
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404))))],
% 10.34/10.50 [refute_0_110, refute_0_74])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_112, plain,
% 10.34/10.50 ('==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) != X_404 |
% 10.34/10.50 '==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) !=
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404) |
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404) = X_404),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [equality,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)), X_404)), [0],
% 10.34/10.50 $fot('==>'('==>'(X_404, 1), X_404))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_113, plain,
% 10.34/10.50 ('==>'('==>'('==>'(0, X_404), 1), '==>'(0, X_404)) != X_404 |
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404) = X_404),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)), '==>'('==>'(X_404, 1), X_404)))],
% 10.34/10.50 [refute_0_108, refute_0_112])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_114, plain,
% 10.34/10.50 (~ greater_equal(X_404, '==>'('==>'(X_404, 1), X_404)) |
% 10.34/10.50 '==>'('==>'(X_404, 1), X_404) = X_404),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(0, X_404), 1),
% 10.34/10.50 '==>'(0, X_404)), X_404))],
% 10.34/10.50 [refute_0_111, refute_0_113])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_115, plain,
% 10.34/10.50 (greater_equal(X_404, '==>'('==>'(X_404, 1), X_404))),
% 10.34/10.50 inference(subst, [],
% 10.34/10.50 [refute_0_86 :
% 10.34/10.50 [bind(X_148, $fot('==>'(X_404, 1))),
% 10.34/10.50 bind(X_150, $fot(X_404))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_116, plain, ('==>'('==>'(X_404, 1), X_404) = X_404),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf(greater_equal(X_404, '==>'('==>'(X_404, 1), X_404)))],
% 10.34/10.50 [refute_0_115, refute_0_114])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_117, plain, ('==>'('==>'(X_339, 1), X_339) = X_339),
% 10.34/10.50 inference(subst, [], [refute_0_116 : [bind(X_404, $fot(X_339))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_118, plain,
% 10.34/10.50 ('==>'('==>'(X_339, 1), X_339) != X_339 |
% 10.34/10.50 ~
% 10.34/10.50 greater_equal('==>'('==>'(X_339, 1), 1),
% 10.34/10.50 '==>'('==>'(X_339, 1), X_339)) |
% 10.34/10.50 greater_equal('==>'('==>'(X_339, 1), 1), X_339)),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [equality,
% 10.34/10.50 [$cnf(greater_equal('==>'('==>'(X_339, 1), 1),
% 10.34/10.50 '==>'('==>'(X_339, 1), X_339))), [1],
% 10.34/10.50 $fot(X_339)]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_119, plain,
% 10.34/10.50 (~
% 10.34/10.50 greater_equal('==>'('==>'(X_339, 1), 1),
% 10.34/10.50 '==>'('==>'(X_339, 1), X_339)) |
% 10.34/10.50 greater_equal('==>'('==>'(X_339, 1), 1), X_339)),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'(X_339, 1), X_339), X_339))],
% 10.34/10.50 [refute_0_117, refute_0_118])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_120, plain, (greater_equal('==>'('==>'(X_339, 1), 1), X_339)),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf(greater_equal('==>'('==>'(X_339, 1), 1),
% 10.34/10.50 '==>'('==>'(X_339, 1), X_339)))],
% 10.34/10.50 [refute_0_53, refute_0_119])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_121, plain, (greater_equal('==>'('==>'(X_411, 1), 1), X_411)),
% 10.34/10.50 inference(subst, [], [refute_0_120 : [bind(X_339, $fot(X_411))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_122, plain,
% 10.34/10.50 (greater_equal('==>'(X_411, X13),
% 10.34/10.50 '==>'('==>'('==>'(X_411, 1), 1), X13))),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf(greater_equal('==>'('==>'(X_411, 1), 1), X_411))],
% 10.34/10.50 [refute_0_121, refute_0_52])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_123, plain,
% 10.34/10.50 (greater_equal('==>'(X_451, X_451),
% 10.34/10.50 '==>'('==>'('==>'(X_451, 1), 1), X_451))),
% 10.34/10.50 inference(subst, [],
% 10.34/10.50 [refute_0_122 :
% 10.34/10.50 [bind(X13, $fot(X_451)), bind(X_411, $fot(X_451))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_124, plain, ('==>'('==>'(A, 1), A) = A),
% 10.34/10.50 inference(subst, [], [refute_0_116 : [bind(X_404, $fot(A))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_125, plain,
% 10.34/10.50 ('==>'('==>'('==>'(A, 1), A), A) = '==>'('==>'('==>'(A, 1), A), A)),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [refl, [$fot('==>'('==>'('==>'(A, 1), A), A))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_126, plain,
% 10.34/10.50 ('==>'('==>'(A, 1), A) != A |
% 10.34/10.50 '==>'('==>'('==>'(A, 1), A), A) != '==>'('==>'('==>'(A, 1), A), A) |
% 10.34/10.50 '==>'('==>'('==>'(A, 1), A), A) = '==>'(A, A)),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [equality,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(A, 1), A), A),
% 10.34/10.50 '==>'('==>'('==>'(A, 1), A), A))), [1, 0],
% 10.34/10.50 $fot(A)]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_127, plain,
% 10.34/10.50 ('==>'('==>'(A, 1), A) != A |
% 10.34/10.50 '==>'('==>'('==>'(A, 1), A), A) = '==>'(A, A)),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(A, 1), A), A),
% 10.34/10.50 '==>'('==>'('==>'(A, 1), A), A)))],
% 10.34/10.50 [refute_0_125, refute_0_126])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_128, plain, ('==>'('==>'('==>'(A, 1), A), A) = '==>'(A, A)),
% 10.34/10.50 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), A), A))],
% 10.34/10.50 [refute_0_124, refute_0_127])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_129, plain,
% 10.34/10.50 ('==>'('==>'('==>'(A, 1), A), A) != 0 |
% 10.34/10.50 '==>'('==>'('==>'(A, 1), A), A) != '==>'(A, A) | '==>'(A, A) = 0),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [equality,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(A, 1), A), A), 0)), [0],
% 10.34/10.50 $fot('==>'(A, A))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_130, plain,
% 10.34/10.50 ('==>'('==>'('==>'(A, 1), A), A) != 0 | '==>'(A, A) = 0),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(A, 1), A), A), '==>'(A, A)))],
% 10.34/10.50 [refute_0_128, refute_0_129])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_131, plain, ('==>'(A, A) = 0),
% 10.34/10.50 inference(resolve, [$cnf($equal('==>'('==>'('==>'(A, 1), A), A), 0))],
% 10.34/10.50 [refute_0_56, refute_0_130])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_132, plain, ('==>'(X_451, X_451) = 0),
% 10.34/10.50 inference(subst, [], [refute_0_131 : [bind(A, $fot(X_451))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_133, plain,
% 10.34/10.50 ('==>'(X_451, X_451) != 0 |
% 10.34/10.50 ~
% 10.34/10.50 greater_equal('==>'(X_451, X_451),
% 10.34/10.50 '==>'('==>'('==>'(X_451, 1), 1), X_451)) |
% 10.34/10.50 greater_equal(0, '==>'('==>'('==>'(X_451, 1), 1), X_451))),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [equality,
% 10.34/10.50 [$cnf(greater_equal('==>'(X_451, X_451),
% 10.34/10.50 '==>'('==>'('==>'(X_451, 1), 1), X_451))), [0],
% 10.34/10.50 $fot(0)]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_134, plain,
% 10.34/10.50 (~
% 10.34/10.50 greater_equal('==>'(X_451, X_451),
% 10.34/10.50 '==>'('==>'('==>'(X_451, 1), 1), X_451)) |
% 10.34/10.50 greater_equal(0, '==>'('==>'('==>'(X_451, 1), 1), X_451))),
% 10.34/10.50 inference(resolve, [$cnf($equal('==>'(X_451, X_451), 0))],
% 10.34/10.50 [refute_0_132, refute_0_133])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_135, plain,
% 10.34/10.50 (greater_equal(0, '==>'('==>'('==>'(X_451, 1), 1), X_451))),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf(greater_equal('==>'(X_451, X_451),
% 10.34/10.50 '==>'('==>'('==>'(X_451, 1), 1), X_451)))],
% 10.34/10.50 [refute_0_123, refute_0_134])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_136, plain,
% 10.34/10.50 (greater_equal(0, '==>'('==>'('==>'(X_453, 1), 1), X_453))),
% 10.34/10.50 inference(subst, [], [refute_0_135 : [bind(X_451, $fot(X_453))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_137, plain, ('==>'('==>'('==>'(X_453, 1), 1), X_453) = 0),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf(greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(X_453, 1), 1), X_453)))],
% 10.34/10.50 [refute_0_136, refute_0_51])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_138, plain,
% 10.34/10.50 ('==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1), 1),
% 10.34/10.50 add(X_710, '==>'(X_710, X_708))) = 0),
% 10.34/10.50 inference(subst, [],
% 10.34/10.50 [refute_0_137 :
% 10.34/10.50 [bind(X_453, $fot(add(X_710, '==>'(X_710, X_708))))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_139, plain,
% 10.34/10.50 ('==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1), 1),
% 10.34/10.50 add(X_710, '==>'(X_710, X_708))) != 0 |
% 10.34/10.50 ~
% 10.34/10.50 greater_equal('==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1),
% 10.34/10.50 1), add(X_710, '==>'(X_710, X_708))),
% 10.34/10.50 '==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1), 1),
% 10.34/10.50 X_708)) |
% 10.34/10.50 greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1), 1), X_708))),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [equality,
% 10.34/10.50 [$cnf(greater_equal('==>'('==>'('==>'(add(X_710,
% 10.34/10.50 '==>'(X_710, X_708)), 1), 1),
% 10.34/10.50 add(X_710, '==>'(X_710, X_708))),
% 10.34/10.50 '==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)),
% 10.34/10.50 1), 1), X_708))), [0], $fot(0)]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_140, plain,
% 10.34/10.50 (~
% 10.34/10.50 greater_equal('==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1),
% 10.34/10.50 1), add(X_710, '==>'(X_710, X_708))),
% 10.34/10.50 '==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1), 1),
% 10.34/10.50 X_708)) |
% 10.34/10.50 greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1), 1), X_708))),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(add(X_710,
% 10.34/10.50 '==>'(X_710, X_708)), 1), 1),
% 10.34/10.50 add(X_710, '==>'(X_710, X_708))), 0))],
% 10.34/10.50 [refute_0_138, refute_0_139])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_141, plain,
% 10.34/10.50 (greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)), 1), 1), X_708))),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf(greater_equal('==>'('==>'('==>'(add(X_710,
% 10.34/10.50 '==>'(X_710, X_708)), 1), 1),
% 10.34/10.50 add(X_710, '==>'(X_710, X_708))),
% 10.34/10.50 '==>'('==>'('==>'(add(X_710, '==>'(X_710, X_708)),
% 10.34/10.50 1), 1), X_708)))],
% 10.34/10.50 [refute_0_47, refute_0_140])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_142, plain,
% 10.34/10.50 (greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1),
% 10.34/10.50 '==>'('==>'('==>'(X_717, 1), 1), X_717)), 1), 1), X_717))),
% 10.34/10.50 inference(subst, [],
% 10.34/10.50 [refute_0_141 :
% 10.34/10.50 [bind(X_708, $fot(X_717)),
% 10.34/10.50 bind(X_710, $fot('==>'('==>'(X_717, 1), 1)))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_143, plain, ('==>'('==>'('==>'(X_717, 1), 1), X_717) = 0),
% 10.34/10.50 inference(subst, [], [refute_0_137 : [bind(X_453, $fot(X_717))]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_144, plain,
% 10.34/10.50 ('==>'('==>'('==>'(X_717, 1), 1), X_717) != 0 |
% 10.34/10.50 ~
% 10.34/10.50 greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1),
% 10.34/10.50 '==>'('==>'('==>'(X_717, 1), 1), X_717)), 1), 1),
% 10.34/10.50 X_717)) |
% 10.34/10.50 greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1),
% 10.34/10.50 X_717))),
% 10.34/10.50 introduced(tautology,
% 10.34/10.50 [equality,
% 10.34/10.50 [$cnf(greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1),
% 10.34/10.50 '==>'('==>'('==>'(X_717, 1), 1), X_717)),
% 10.34/10.50 1), 1), X_717))), [1, 0, 0, 0, 1],
% 10.34/10.50 $fot(0)]])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_145, plain,
% 10.34/10.50 (~
% 10.34/10.50 greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1),
% 10.34/10.50 '==>'('==>'('==>'(X_717, 1), 1), X_717)), 1), 1),
% 10.34/10.50 X_717)) |
% 10.34/10.50 greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1),
% 10.34/10.50 X_717))),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf($equal('==>'('==>'('==>'(X_717, 1), 1), X_717), 0))],
% 10.34/10.50 [refute_0_143, refute_0_144])).
% 10.34/10.50
% 10.34/10.50 cnf(refute_0_146, plain,
% 10.34/10.50 (greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1),
% 10.34/10.50 X_717))),
% 10.34/10.50 inference(resolve,
% 10.34/10.50 [$cnf(greater_equal(0,
% 10.34/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1),
% 10.34/10.50 '==>'('==>'('==>'(X_717, 1), 1), X_717)), 1),
% 10.34/10.50 1), X_717)))], [refute_0_142, refute_0_145])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_147, plain,
% 10.35/10.50 (add(0, '==>'('==>'(X_717, 1), 1)) = '==>'('==>'(X_717, 1), 1)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_15 : [bind(A, $fot('==>'('==>'(X_717, 1), 1)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_148, plain,
% 10.35/10.50 (~ greater_equal('==>'(0, X_89), X_89) |
% 10.35/10.50 greater_equal(add('==>'(0, X_89), X10), add(X_89, X10))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_7 :
% 10.35/10.50 [bind(X8, $fot('==>'(0, X_89))), bind(X9, $fot(X_89))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_149, plain, (greater_equal('==>'(0, X_89), X_89)),
% 10.35/10.50 inference(subst, [], [refute_0_79 : [bind(X_88, $fot(X_89))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_150, plain,
% 10.35/10.50 (greater_equal(add('==>'(0, X_89), X10), add(X_89, X10))),
% 10.35/10.50 inference(resolve, [$cnf(greater_equal('==>'(0, X_89), X_89))],
% 10.35/10.50 [refute_0_149, refute_0_148])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_151, plain,
% 10.35/10.50 (greater_equal(add('==>'(0, X_134), X_133), add(X_134, X_133))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_150 :
% 10.35/10.50 [bind(X10, $fot(X_133)), bind(X_89, $fot(X_134))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_152, plain,
% 10.35/10.50 (add(X_133, '==>'(0, X_134)) = add('==>'(0, X_134), X_133)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_11 :
% 10.35/10.50 [bind(A, $fot(X_133)), bind(B, $fot('==>'(0, X_134)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_153, plain,
% 10.35/10.50 (add(X_133, '==>'(0, X_134)) != add('==>'(0, X_134), X_133) |
% 10.35/10.50 add('==>'(0, X_134), X_133) = add(X_133, '==>'(0, X_134))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_103 :
% 10.35/10.50 [bind(X, $fot(add(X_133, '==>'(0, X_134)))),
% 10.35/10.50 bind(Y, $fot(add('==>'(0, X_134), X_133)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_154, plain,
% 10.35/10.50 (add('==>'(0, X_134), X_133) = add(X_133, '==>'(0, X_134))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(X_133, '==>'(0, X_134)),
% 10.35/10.50 add('==>'(0, X_134), X_133)))],
% 10.35/10.50 [refute_0_152, refute_0_153])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_155, plain,
% 10.35/10.50 (add('==>'(0, X_134), X_133) != add(X_133, '==>'(0, X_134)) |
% 10.35/10.50 ~ greater_equal(add('==>'(0, X_134), X_133), add(X_134, X_133)) |
% 10.35/10.50 greater_equal(add(X_133, '==>'(0, X_134)), add(X_134, X_133))),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf(greater_equal(add('==>'(0, X_134), X_133),
% 10.35/10.50 add(X_134, X_133))), [0],
% 10.35/10.50 $fot(add(X_133, '==>'(0, X_134)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_156, plain,
% 10.35/10.50 (~ greater_equal(add('==>'(0, X_134), X_133), add(X_134, X_133)) |
% 10.35/10.50 greater_equal(add(X_133, '==>'(0, X_134)), add(X_134, X_133))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add('==>'(0, X_134), X_133),
% 10.35/10.50 add(X_133, '==>'(0, X_134))))],
% 10.35/10.50 [refute_0_154, refute_0_155])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_157, plain,
% 10.35/10.50 (greater_equal(add(X_133, '==>'(0, X_134)), add(X_134, X_133))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(add('==>'(0, X_134), X_133),
% 10.35/10.50 add(X_134, X_133)))], [refute_0_151, refute_0_156])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_158, plain,
% 10.35/10.50 (~ greater_equal(add(X_133, '==>'(0, X_134)), add(X_134, X_133)) |
% 10.35/10.50 ~ greater_equal(add(X_134, X_133), add(X_133, '==>'(0, X_134))) |
% 10.35/10.50 add(X_133, '==>'(0, X_134)) = add(X_134, X_133)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_1 :
% 10.35/10.50 [bind(X3, $fot(add(X_133, '==>'(0, X_134)))),
% 10.35/10.50 bind(X4, $fot(add(X_134, X_133)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_159, plain,
% 10.35/10.50 (~ greater_equal(add(X_134, X_133), add(X_133, '==>'(0, X_134))) |
% 10.35/10.50 add(X_133, '==>'(0, X_134)) = add(X_134, X_133)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(add(X_133, '==>'(0, X_134)),
% 10.35/10.50 add(X_134, X_133)))], [refute_0_157, refute_0_158])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_160, plain,
% 10.35/10.50 (~ greater_equal(X_152, '==>'(X_151, X_152)) |
% 10.35/10.50 greater_equal(add(X_152, X10), add('==>'(X_151, X_152), X10))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_7 :
% 10.35/10.50 [bind(X8, $fot(X_152)),
% 10.35/10.50 bind(X9, $fot('==>'(X_151, X_152)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_161, plain, (greater_equal(X_152, '==>'(X_151, X_152))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_86 :
% 10.35/10.50 [bind(X_148, $fot(X_151)), bind(X_150, $fot(X_152))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_162, plain,
% 10.35/10.50 (greater_equal(add(X_152, X10), add('==>'(X_151, X_152), X10))),
% 10.35/10.50 inference(resolve, [$cnf(greater_equal(X_152, '==>'(X_151, X_152)))],
% 10.35/10.50 [refute_0_161, refute_0_160])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_163, plain,
% 10.35/10.50 (greater_equal(add(X_255, X_253), add('==>'(X_254, X_255), X_253))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_162 :
% 10.35/10.50 [bind(X10, $fot(X_253)), bind(X_151, $fot(X_254)),
% 10.35/10.50 bind(X_152, $fot(X_255))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_164, plain,
% 10.35/10.50 (add(X_253, '==>'(X_254, X_255)) = add('==>'(X_254, X_255), X_253)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_11 :
% 10.35/10.50 [bind(A, $fot(X_253)),
% 10.35/10.50 bind(B, $fot('==>'(X_254, X_255)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_165, plain,
% 10.35/10.50 (add(X_253, '==>'(X_254, X_255)) != add('==>'(X_254, X_255), X_253) |
% 10.35/10.50 add('==>'(X_254, X_255), X_253) = add(X_253, '==>'(X_254, X_255))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_103 :
% 10.35/10.50 [bind(X, $fot(add(X_253, '==>'(X_254, X_255)))),
% 10.35/10.50 bind(Y, $fot(add('==>'(X_254, X_255), X_253)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_166, plain,
% 10.35/10.50 (add('==>'(X_254, X_255), X_253) = add(X_253, '==>'(X_254, X_255))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(X_253, '==>'(X_254, X_255)),
% 10.35/10.50 add('==>'(X_254, X_255), X_253)))],
% 10.35/10.50 [refute_0_164, refute_0_165])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_167, plain,
% 10.35/10.50 (add('==>'(X_254, X_255), X_253) != add(X_253, '==>'(X_254, X_255)) |
% 10.35/10.50 ~ greater_equal(add(X_255, X_253), add('==>'(X_254, X_255), X_253)) |
% 10.35/10.50 greater_equal(add(X_255, X_253), add(X_253, '==>'(X_254, X_255)))),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf(greater_equal(add(X_255, X_253),
% 10.35/10.50 add('==>'(X_254, X_255), X_253))), [1],
% 10.35/10.50 $fot(add(X_253, '==>'(X_254, X_255)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_168, plain,
% 10.35/10.50 (~ greater_equal(add(X_255, X_253), add('==>'(X_254, X_255), X_253)) |
% 10.35/10.50 greater_equal(add(X_255, X_253), add(X_253, '==>'(X_254, X_255)))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add('==>'(X_254, X_255), X_253),
% 10.35/10.50 add(X_253, '==>'(X_254, X_255))))],
% 10.35/10.50 [refute_0_166, refute_0_167])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_169, plain,
% 10.35/10.50 (greater_equal(add(X_255, X_253), add(X_253, '==>'(X_254, X_255)))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(add(X_255, X_253),
% 10.35/10.50 add('==>'(X_254, X_255), X_253)))],
% 10.35/10.50 [refute_0_163, refute_0_168])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_170, plain,
% 10.35/10.50 (greater_equal(add(X_134, X_133), add(X_133, '==>'(0, X_134)))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_169 :
% 10.35/10.50 [bind(X_253, $fot(X_133)), bind(X_254, $fot(0)),
% 10.35/10.50 bind(X_255, $fot(X_134))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_171, plain, (add(X_133, '==>'(0, X_134)) = add(X_134, X_133)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(add(X_134, X_133),
% 10.35/10.50 add(X_133, '==>'(0, X_134))))],
% 10.35/10.50 [refute_0_170, refute_0_159])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_172, plain, ('==>'(0, X_134) = X_134),
% 10.35/10.50 inference(subst, [], [refute_0_88 : [bind(X_404, $fot(X_134))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_173, plain,
% 10.35/10.50 (add(X_133, '==>'(0, X_134)) = add(X_133, '==>'(0, X_134))),
% 10.35/10.50 introduced(tautology, [refl, [$fot(add(X_133, '==>'(0, X_134)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_174, plain,
% 10.35/10.50 (add(X_133, '==>'(0, X_134)) != add(X_133, '==>'(0, X_134)) |
% 10.35/10.50 '==>'(0, X_134) != X_134 |
% 10.35/10.50 add(X_133, '==>'(0, X_134)) = add(X_133, X_134)),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf($equal(add(X_133, '==>'(0, X_134)),
% 10.35/10.50 add(X_133, '==>'(0, X_134)))), [1, 1],
% 10.35/10.50 $fot(X_134)]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_175, plain,
% 10.35/10.50 ('==>'(0, X_134) != X_134 |
% 10.35/10.50 add(X_133, '==>'(0, X_134)) = add(X_133, X_134)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(X_133, '==>'(0, X_134)),
% 10.35/10.50 add(X_133, '==>'(0, X_134))))],
% 10.35/10.50 [refute_0_173, refute_0_174])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_176, plain, (add(X_133, '==>'(0, X_134)) = add(X_133, X_134)),
% 10.35/10.50 inference(resolve, [$cnf($equal('==>'(0, X_134), X_134))],
% 10.35/10.50 [refute_0_172, refute_0_175])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_177, plain,
% 10.35/10.50 (add(X_133, '==>'(0, X_134)) != add(X_133, X_134) |
% 10.35/10.50 add(X_133, '==>'(0, X_134)) != add(X_134, X_133) |
% 10.35/10.50 add(X_133, X_134) = add(X_134, X_133)),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf($equal(add(X_133, '==>'(0, X_134)),
% 10.35/10.50 add(X_134, X_133))), [0],
% 10.35/10.50 $fot(add(X_133, X_134))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_178, plain,
% 10.35/10.50 (add(X_133, '==>'(0, X_134)) != add(X_134, X_133) |
% 10.35/10.50 add(X_133, X_134) = add(X_134, X_133)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(X_133, '==>'(0, X_134)),
% 10.35/10.50 add(X_133, X_134)))], [refute_0_176, refute_0_177])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_179, plain, (add(X_133, X_134) = add(X_134, X_133)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(X_133, '==>'(0, X_134)),
% 10.35/10.50 add(X_134, X_133)))], [refute_0_171, refute_0_178])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_180, plain,
% 10.35/10.50 (add(X_133, X_134) != add(X_134, X_133) |
% 10.35/10.50 add(X_134, X_133) = add(X_133, X_134)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_103 :
% 10.35/10.50 [bind(X, $fot(add(X_133, X_134))),
% 10.35/10.50 bind(Y, $fot(add(X_134, X_133)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_181, plain, (add(X_134, X_133) = add(X_133, X_134)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(X_133, X_134), add(X_134, X_133)))],
% 10.35/10.50 [refute_0_179, refute_0_180])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_182, plain,
% 10.35/10.50 (add('==>'('==>'(X_717, 1), 1), 0) =
% 10.35/10.50 add(0, '==>'('==>'(X_717, 1), 1))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_181 :
% 10.35/10.50 [bind(X_133, $fot(0)),
% 10.35/10.50 bind(X_134, $fot('==>'('==>'(X_717, 1), 1)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_183, plain,
% 10.35/10.50 (add(0, '==>'('==>'(X_717, 1), 1)) != '==>'('==>'(X_717, 1), 1) |
% 10.35/10.50 add('==>'('==>'(X_717, 1), 1), 0) !=
% 10.35/10.50 add(0, '==>'('==>'(X_717, 1), 1)) |
% 10.35/10.50 add('==>'('==>'(X_717, 1), 1), 0) = '==>'('==>'(X_717, 1), 1)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_105 :
% 10.35/10.50 [bind(X, $fot(add('==>'('==>'(X_717, 1), 1), 0))),
% 10.35/10.50 bind(Y, $fot(add(0, '==>'('==>'(X_717, 1), 1)))),
% 10.35/10.50 bind(Z, $fot('==>'('==>'(X_717, 1), 1)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_184, plain,
% 10.35/10.50 (add(0, '==>'('==>'(X_717, 1), 1)) != '==>'('==>'(X_717, 1), 1) |
% 10.35/10.50 add('==>'('==>'(X_717, 1), 1), 0) = '==>'('==>'(X_717, 1), 1)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add('==>'('==>'(X_717, 1), 1), 0),
% 10.35/10.50 add(0, '==>'('==>'(X_717, 1), 1))))],
% 10.35/10.50 [refute_0_182, refute_0_183])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_185, plain,
% 10.35/10.50 (add('==>'('==>'(X_717, 1), 1), 0) = '==>'('==>'(X_717, 1), 1)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(0, '==>'('==>'(X_717, 1), 1)),
% 10.35/10.50 '==>'('==>'(X_717, 1), 1)))],
% 10.35/10.50 [refute_0_147, refute_0_184])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_186, plain,
% 10.35/10.50 ('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1) =
% 10.35/10.50 '==>'(add('==>'('==>'(X_717, 1), 1), 0), 1)),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [refl,
% 10.35/10.50 [$fot('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_187, plain,
% 10.35/10.50 (add('==>'('==>'(X_717, 1), 1), 0) != '==>'('==>'(X_717, 1), 1) |
% 10.35/10.50 '==>'(add('==>'('==>'(X_717, 1), 1), 0), 1) !=
% 10.35/10.50 '==>'(add('==>'('==>'(X_717, 1), 1), 0), 1) |
% 10.35/10.50 '==>'(add('==>'('==>'(X_717, 1), 1), 0), 1) =
% 10.35/10.50 '==>'('==>'('==>'(X_717, 1), 1), 1)),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf($equal('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1),
% 10.35/10.50 '==>'(add('==>'('==>'(X_717, 1), 1), 0), 1))),
% 10.35/10.50 [1, 0], $fot('==>'('==>'(X_717, 1), 1))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_188, plain,
% 10.35/10.50 (add('==>'('==>'(X_717, 1), 1), 0) != '==>'('==>'(X_717, 1), 1) |
% 10.35/10.50 '==>'(add('==>'('==>'(X_717, 1), 1), 0), 1) =
% 10.35/10.50 '==>'('==>'('==>'(X_717, 1), 1), 1)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1),
% 10.35/10.50 '==>'(add('==>'('==>'(X_717, 1), 1), 0), 1)))],
% 10.35/10.50 [refute_0_186, refute_0_187])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_189, plain,
% 10.35/10.50 ('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1) =
% 10.35/10.50 '==>'('==>'('==>'(X_717, 1), 1), 1)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add('==>'('==>'(X_717, 1), 1), 0),
% 10.35/10.50 '==>'('==>'(X_717, 1), 1)))],
% 10.35/10.50 [refute_0_185, refute_0_188])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_190, plain,
% 10.35/10.50 ('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1) =
% 10.35/10.50 '==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1)),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [refl,
% 10.35/10.50 [$fot('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1),
% 10.35/10.50 1))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_191, plain,
% 10.35/10.50 ('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1) !=
% 10.35/10.50 '==>'('==>'('==>'(X_717, 1), 1), 1) |
% 10.35/10.50 '==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1) !=
% 10.35/10.50 '==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1) |
% 10.35/10.50 '==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1) =
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1)),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf($equal('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0),
% 10.35/10.50 1), 1),
% 10.35/10.50 '==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1),
% 10.35/10.50 1))), [1, 0],
% 10.35/10.50 $fot('==>'('==>'('==>'(X_717, 1), 1), 1))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_192, plain,
% 10.35/10.50 ('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1) !=
% 10.35/10.50 '==>'('==>'('==>'(X_717, 1), 1), 1) |
% 10.35/10.50 '==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1) =
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0),
% 10.35/10.50 1), 1),
% 10.35/10.50 '==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1),
% 10.35/10.50 1)))], [refute_0_190, refute_0_191])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_193, plain,
% 10.35/10.50 ('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1) =
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1),
% 10.35/10.50 '==>'('==>'('==>'(X_717, 1), 1), 1)))],
% 10.35/10.50 [refute_0_189, refute_0_192])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_194, plain,
% 10.35/10.50 ('==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1), X_717) =
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1), X_717)),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [refl,
% 10.35/10.50 [$fot('==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0),
% 10.35/10.50 1), 1), X_717))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_195, plain,
% 10.35/10.50 ('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1) !=
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1) |
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1), X_717) !=
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1), X_717) |
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1), X_717) =
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1), X_717)),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf($equal('==>'('==>'('==>'(add('==>'('==>'(X_717, 1),
% 10.35/10.50 1), 0), 1), 1), X_717),
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1),
% 10.35/10.50 0), 1), 1), X_717))), [1, 0],
% 10.35/10.50 $fot('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_196, plain,
% 10.35/10.50 ('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1) !=
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1) |
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1), X_717) =
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1), X_717)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal('==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1),
% 10.35/10.50 0), 1), 1), X_717),
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0),
% 10.35/10.50 1), 1), X_717)))],
% 10.35/10.50 [refute_0_194, refute_0_195])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_197, plain,
% 10.35/10.50 ('==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1), X_717) =
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1), X_717)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0),
% 10.35/10.50 1), 1),
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1)))],
% 10.35/10.50 [refute_0_193, refute_0_196])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_198, plain,
% 10.35/10.50 ('==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1), X_717) !=
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1), X_717) |
% 10.35/10.50 ~
% 10.35/10.50 greater_equal(0,
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1),
% 10.35/10.50 X_717)) |
% 10.35/10.50 greater_equal(0,
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1), X_717))),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf(greater_equal(0,
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1),
% 10.35/10.50 0), 1), 1), X_717))), [1],
% 10.35/10.50 $fot('==>'('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1),
% 10.35/10.50 X_717))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_199, plain,
% 10.35/10.50 (~
% 10.35/10.50 greater_equal(0,
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0), 1), 1),
% 10.35/10.50 X_717)) |
% 10.35/10.50 greater_equal(0,
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1), X_717))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal('==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1),
% 10.35/10.50 0), 1), 1), X_717),
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1),
% 10.35/10.50 X_717)))], [refute_0_197, refute_0_198])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_200, plain,
% 10.35/10.50 (greater_equal(0,
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_717, 1), 1), 1), 1), X_717))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(0,
% 10.35/10.50 '==>'('==>'('==>'(add('==>'('==>'(X_717, 1), 1), 0),
% 10.35/10.50 1), 1), X_717)))],
% 10.35/10.50 [refute_0_146, refute_0_199])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_201, plain,
% 10.35/10.50 (greater_equal(0,
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), X_721))),
% 10.35/10.50 inference(subst, [], [refute_0_200 : [bind(X_717, $fot(X_721))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_202, plain,
% 10.35/10.50 (greater_equal(add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0),
% 10.35/10.50 X_721)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(0,
% 10.35/10.50 '==>'('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1),
% 10.35/10.50 X_721)))], [refute_0_201, refute_0_39])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_203, plain,
% 10.35/10.50 (add(0, '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)) =
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_15 :
% 10.35/10.50 [bind(A,
% 10.35/10.50 $fot('==>'('==>'('==>'('==>'(X_721, 1), 1), 1),
% 10.35/10.50 1)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_204, plain,
% 10.35/10.50 (add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0) =
% 10.35/10.50 add(0, '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_181 :
% 10.35/10.50 [bind(X_133, $fot(0)),
% 10.35/10.50 bind(X_134,
% 10.35/10.50 $fot('==>'('==>'('==>'('==>'(X_721, 1), 1), 1),
% 10.35/10.50 1)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_205, plain,
% 10.35/10.50 (add(0, '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)) !=
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1) |
% 10.35/10.50 add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0) !=
% 10.35/10.50 add(0, '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)) |
% 10.35/10.50 add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0) =
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_105 :
% 10.35/10.50 [bind(X,
% 10.35/10.50 $fot(add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1),
% 10.35/10.50 1), 0))),
% 10.35/10.50 bind(Y,
% 10.35/10.50 $fot(add(0,
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1),
% 10.35/10.50 1)))),
% 10.35/10.50 bind(Z,
% 10.35/10.50 $fot('==>'('==>'('==>'('==>'(X_721, 1), 1), 1),
% 10.35/10.50 1)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_206, plain,
% 10.35/10.50 (add(0, '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)) !=
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1) |
% 10.35/10.50 add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0) =
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1),
% 10.35/10.50 1), 0),
% 10.35/10.50 add(0,
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1))))],
% 10.35/10.50 [refute_0_204, refute_0_205])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_207, plain,
% 10.35/10.50 (add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0) =
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(0,
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)),
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)))],
% 10.35/10.50 [refute_0_203, refute_0_206])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_208, plain,
% 10.35/10.50 (add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0) !=
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1) |
% 10.35/10.50 ~
% 10.35/10.50 greater_equal(add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0),
% 10.35/10.50 X_721) |
% 10.35/10.50 greater_equal('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), X_721)),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf(greater_equal(add('==>'('==>'('==>'('==>'(X_721, 1),
% 10.35/10.50 1), 1), 1), 0), X_721)), [0],
% 10.35/10.50 $fot('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_209, plain,
% 10.35/10.50 (~
% 10.35/10.50 greater_equal(add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), 0),
% 10.35/10.50 X_721) |
% 10.35/10.50 greater_equal('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), X_721)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add('==>'('==>'('==>'('==>'(X_721, 1), 1), 1),
% 10.35/10.50 1), 0),
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1)))],
% 10.35/10.50 [refute_0_207, refute_0_208])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_210, plain,
% 10.35/10.50 (greater_equal('==>'('==>'('==>'('==>'(X_721, 1), 1), 1), 1), X_721)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(add('==>'('==>'('==>'('==>'(X_721, 1),
% 10.35/10.50 1), 1), 1), 0), X_721))],
% 10.35/10.50 [refute_0_202, refute_0_209])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_211, plain,
% 10.35/10.50 (greater_equal('==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1), X_724)),
% 10.35/10.50 inference(subst, [], [refute_0_210 : [bind(X_721, $fot(X_724))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_212, plain,
% 10.35/10.50 (~
% 10.35/10.50 greater_equal(X_724,
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1)) |
% 10.35/10.50 X_724 = '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal('==>'('==>'('==>'('==>'(X_724, 1), 1),
% 10.35/10.50 1), 1), X_724))], [refute_0_211, refute_0_37])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_213, plain,
% 10.35/10.50 (greater_equal(add(X_25, add(X_10, A)), add(X_10, A))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_19 :
% 10.35/10.50 [bind(X_21, $fot(add(X_10, A))), bind(X_22, $fot(X_25))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_214, plain, (add(A, add(X_9, X_10)) = add(add(X_9, X_10), A)),
% 10.35/10.50 inference(subst, [], [refute_0_11 : [bind(B, $fot(add(X_9, X_10)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_215, plain, (add(add(A, B), C) = add(A, add(B, C))),
% 10.35/10.50 inference(canonicalize, [], [normalize_0_31])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_216, plain, (add(add(X_9, X_10), A) = add(X_9, add(X_10, A))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_215 :
% 10.35/10.50 [bind(A, $fot(X_9)), bind(B, $fot(X_10)),
% 10.35/10.50 bind(C, $fot(A))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_217, plain,
% 10.35/10.50 (add(A, add(X_9, X_10)) != add(add(X_9, X_10), A) |
% 10.35/10.50 add(add(X_9, X_10), A) != add(X_9, add(X_10, A)) |
% 10.35/10.50 add(A, add(X_9, X_10)) = add(X_9, add(X_10, A))),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf(~ $equal(add(A, add(X_9, X_10)),
% 10.35/10.50 add(X_9, add(X_10, A)))), [0],
% 10.35/10.50 $fot(add(add(X_9, X_10), A))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_218, plain,
% 10.35/10.50 (add(A, add(X_9, X_10)) != add(add(X_9, X_10), A) |
% 10.35/10.50 add(A, add(X_9, X_10)) = add(X_9, add(X_10, A))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(add(X_9, X_10), A),
% 10.35/10.50 add(X_9, add(X_10, A))))],
% 10.35/10.50 [refute_0_216, refute_0_217])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_219, plain, (add(A, add(X_9, X_10)) = add(X_9, add(X_10, A))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(A, add(X_9, X_10)),
% 10.35/10.50 add(add(X_9, X_10), A)))],
% 10.35/10.50 [refute_0_214, refute_0_218])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_220, plain,
% 10.35/10.50 (add(A, add(X_25, X_10)) = add(X_25, add(X_10, A))),
% 10.35/10.50 inference(subst, [], [refute_0_219 : [bind(X_9, $fot(X_25))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_221, plain,
% 10.35/10.50 (add(A, add(X_25, X_10)) != add(X_25, add(X_10, A)) |
% 10.35/10.50 add(X_25, add(X_10, A)) = add(A, add(X_25, X_10))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_103 :
% 10.35/10.50 [bind(X, $fot(add(A, add(X_25, X_10)))),
% 10.35/10.50 bind(Y, $fot(add(X_25, add(X_10, A))))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_222, plain,
% 10.35/10.50 (add(X_25, add(X_10, A)) = add(A, add(X_25, X_10))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(A, add(X_25, X_10)),
% 10.35/10.50 add(X_25, add(X_10, A))))],
% 10.35/10.50 [refute_0_220, refute_0_221])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_223, plain,
% 10.35/10.50 (add(X_25, add(X_10, A)) != add(A, add(X_25, X_10)) |
% 10.35/10.50 ~ greater_equal(add(X_25, add(X_10, A)), add(X_10, A)) |
% 10.35/10.50 greater_equal(add(A, add(X_25, X_10)), add(X_10, A))),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf(greater_equal(add(X_25, add(X_10, A)),
% 10.35/10.50 add(X_10, A))), [0],
% 10.35/10.50 $fot(add(A, add(X_25, X_10)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_224, plain,
% 10.35/10.50 (~ greater_equal(add(X_25, add(X_10, A)), add(X_10, A)) |
% 10.35/10.50 greater_equal(add(A, add(X_25, X_10)), add(X_10, A))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(X_25, add(X_10, A)),
% 10.35/10.50 add(A, add(X_25, X_10))))],
% 10.35/10.50 [refute_0_222, refute_0_223])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_225, plain,
% 10.35/10.50 (greater_equal(add(A, add(X_25, X_10)), add(X_10, A))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(add(X_25, add(X_10, A)), add(X_10, A)))],
% 10.35/10.50 [refute_0_213, refute_0_224])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_226, plain,
% 10.35/10.50 (greater_equal(add(X_148, add(X_25, X_10)), add(X_10, X_148))),
% 10.35/10.50 inference(subst, [], [refute_0_225 : [bind(A, $fot(X_148))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_227, plain,
% 10.35/10.50 (~ greater_equal(add(X_148, add(X_25, X_10)), add(X_10, X_148)) |
% 10.35/10.50 greater_equal(add(X_25, X_10), '==>'(X_148, add(X_10, X_148)))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_84 :
% 10.35/10.50 [bind(X5, $fot(X_148)), bind(X6, $fot(add(X_25, X_10))),
% 10.35/10.50 bind(X7, $fot(add(X_10, X_148)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_228, plain,
% 10.35/10.50 (greater_equal(add(X_25, X_10), '==>'(X_148, add(X_10, X_148)))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(add(X_148, add(X_25, X_10)),
% 10.35/10.50 add(X_10, X_148)))], [refute_0_226, refute_0_227])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_229, plain,
% 10.35/10.50 (greater_equal(add(X_573, X_571),
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_571, 1), 1), 1),
% 10.35/10.50 add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1))))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_228 :
% 10.35/10.50 [bind(X_10, $fot(X_571)),
% 10.35/10.50 bind(X_148, $fot('==>'('==>'('==>'(X_571, 1), 1), 1))),
% 10.35/10.50 bind(X_25, $fot(X_573))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_230, plain, (greater_equal(1, X_404)),
% 10.35/10.50 inference(subst, [], [refute_0_29 : [bind(X_24, $fot(X_404))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_231, plain,
% 10.35/10.50 (~ greater_equal(X_404, 1) | ~ greater_equal(1, X_404) | 1 = X_404),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_1 : [bind(X3, $fot(1)), bind(X4, $fot(X_404))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_232, plain, (~ greater_equal(X_404, 1) | 1 = X_404),
% 10.35/10.50 inference(resolve, [$cnf(greater_equal(1, X_404))],
% 10.35/10.50 [refute_0_230, refute_0_231])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_233, plain,
% 10.35/10.50 (~
% 10.35/10.50 greater_equal(add(X_476, add(X_478, '==>'(X_478, '==>'(X_476, 1)))),
% 10.35/10.50 1) | 1 = add(X_476, add(X_478, '==>'(X_478, '==>'(X_476, 1))))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_232 :
% 10.35/10.50 [bind(X_404,
% 10.35/10.50 $fot(add(X_476,
% 10.35/10.50 add(X_478,
% 10.35/10.50 '==>'(X_478, '==>'(X_476, 1))))))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_234, plain,
% 10.35/10.50 (~
% 10.35/10.50 greater_equal(add(X_87, '==>'(X_87, '==>'(X5, X7))),
% 10.35/10.50 '==>'(X5, X7)) |
% 10.35/10.50 greater_equal(add(X5, add(X_87, '==>'(X_87, '==>'(X5, X7)))), X7)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_38 :
% 10.35/10.50 [bind(X6, $fot(add(X_87, '==>'(X_87, '==>'(X5, X7)))))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_235, plain,
% 10.35/10.50 (greater_equal(add(X_87, '==>'(X_87, '==>'(X5, X7))), '==>'(X5, X7))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_43 :
% 10.35/10.50 [bind(X_84, $fot(X_87)),
% 10.35/10.50 bind(X_86, $fot('==>'(X5, X7)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_236, plain,
% 10.35/10.50 (greater_equal(add(X5, add(X_87, '==>'(X_87, '==>'(X5, X7)))), X7)),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(add(X_87, '==>'(X_87, '==>'(X5, X7))),
% 10.35/10.50 '==>'(X5, X7)))], [refute_0_235, refute_0_234])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_237, plain,
% 10.35/10.50 (greater_equal(add(X_476, add(X_478, '==>'(X_478, '==>'(X_476, 1)))),
% 10.35/10.50 1)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_236 :
% 10.35/10.50 [bind(X5, $fot(X_476)), bind(X7, $fot(1)),
% 10.35/10.50 bind(X_87, $fot(X_478))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_238, plain,
% 10.35/10.50 (1 = add(X_476, add(X_478, '==>'(X_478, '==>'(X_476, 1))))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf(greater_equal(add(X_476,
% 10.35/10.50 add(X_478, '==>'(X_478, '==>'(X_476, 1)))), 1))],
% 10.35/10.50 [refute_0_237, refute_0_233])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_239, plain,
% 10.35/10.50 (1 =
% 10.35/10.50 add(X_479,
% 10.35/10.50 add('==>'('==>'('==>'(X_479, 1), 1), 1),
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_479, 1), 1), 1), '==>'(X_479, 1))))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_238 :
% 10.35/10.50 [bind(X_476, $fot(X_479)),
% 10.35/10.50 bind(X_478, $fot('==>'('==>'('==>'(X_479, 1), 1), 1)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_240, plain,
% 10.35/10.50 ('==>'('==>'('==>'('==>'(X_479, 1), 1), 1), '==>'(X_479, 1)) = 0),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_137 : [bind(X_453, $fot('==>'(X_479, 1)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_241, plain,
% 10.35/10.50 (1 !=
% 10.35/10.50 add(X_479,
% 10.35/10.50 add('==>'('==>'('==>'(X_479, 1), 1), 1),
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_479, 1), 1), 1), '==>'(X_479, 1)))) |
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_479, 1), 1), 1), '==>'(X_479, 1)) != 0 |
% 10.35/10.50 1 = add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0))),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf($equal(1,
% 10.35/10.50 add(X_479,
% 10.35/10.50 add('==>'('==>'('==>'(X_479, 1), 1), 1),
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_479, 1), 1), 1),
% 10.35/10.50 '==>'(X_479, 1)))))), [1, 1, 1], $fot(0)]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_242, plain,
% 10.35/10.50 (1 !=
% 10.35/10.50 add(X_479,
% 10.35/10.50 add('==>'('==>'('==>'(X_479, 1), 1), 1),
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_479, 1), 1), 1), '==>'(X_479, 1)))) |
% 10.35/10.50 1 = add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal('==>'('==>'('==>'('==>'(X_479, 1), 1), 1),
% 10.35/10.50 '==>'(X_479, 1)), 0))],
% 10.35/10.50 [refute_0_240, refute_0_241])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_243, plain,
% 10.35/10.50 (1 = add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(1,
% 10.35/10.50 add(X_479,
% 10.35/10.50 add('==>'('==>'('==>'(X_479, 1), 1), 1),
% 10.35/10.50 '==>'('==>'('==>'('==>'(X_479, 1), 1), 1),
% 10.35/10.50 '==>'(X_479, 1))))))],
% 10.35/10.50 [refute_0_239, refute_0_242])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_244, plain,
% 10.35/10.50 (add(0, '==>'('==>'('==>'(X_479, 1), 1), 1)) =
% 10.35/10.50 '==>'('==>'('==>'(X_479, 1), 1), 1)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_15 :
% 10.35/10.50 [bind(A, $fot('==>'('==>'('==>'(X_479, 1), 1), 1)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_245, plain,
% 10.35/10.50 (add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))) =
% 10.35/10.50 add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1)))),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [refl,
% 10.35/10.50 [$fot(add(X_479,
% 10.35/10.50 add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_246, plain,
% 10.35/10.50 (add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))) !=
% 10.35/10.50 add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))) |
% 10.35/10.50 add(0, '==>'('==>'('==>'(X_479, 1), 1), 1)) !=
% 10.35/10.50 '==>'('==>'('==>'(X_479, 1), 1), 1) |
% 10.35/10.50 add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))) =
% 10.35/10.50 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf($equal(add(X_479,
% 10.35/10.50 add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.50 add(X_479,
% 10.35/10.50 add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))))),
% 10.35/10.50 [1, 1], $fot('==>'('==>'('==>'(X_479, 1), 1), 1))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_247, plain,
% 10.35/10.50 (add(0, '==>'('==>'('==>'(X_479, 1), 1), 1)) !=
% 10.35/10.50 '==>'('==>'('==>'(X_479, 1), 1), 1) |
% 10.35/10.50 add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))) =
% 10.35/10.50 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(X_479,
% 10.35/10.50 add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.50 add(X_479,
% 10.35/10.50 add(0, '==>'('==>'('==>'(X_479, 1), 1), 1)))))],
% 10.35/10.50 [refute_0_245, refute_0_246])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_248, plain,
% 10.35/10.50 (add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))) =
% 10.35/10.50 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.50 inference(resolve,
% 10.35/10.50 [$cnf($equal(add(0, '==>'('==>'('==>'(X_479, 1), 1), 1)),
% 10.35/10.50 '==>'('==>'('==>'(X_479, 1), 1), 1)))],
% 10.35/10.50 [refute_0_244, refute_0_247])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_249, plain,
% 10.35/10.50 (add(add(X_17, X_16), B) = add(B, add(X_17, X_16))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_11 : [bind(A, $fot(add(X_17, X_16)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_250, plain,
% 10.35/10.50 (add(add(X_9, X_10), X_11) = add(X_9, add(X_10, X_11))),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_215 :
% 10.35/10.50 [bind(A, $fot(X_9)), bind(B, $fot(X_10)),
% 10.35/10.50 bind(C, $fot(X_11))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_251, plain, (add(X_10, X_9) = add(X_9, X_10)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_11 : [bind(A, $fot(X_10)), bind(B, $fot(X_9))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_252, plain,
% 10.35/10.50 (add(X_10, X_9) != add(X_9, X_10) | add(X_9, X_10) = add(X_10, X_9)),
% 10.35/10.50 inference(subst, [],
% 10.35/10.50 [refute_0_103 :
% 10.35/10.50 [bind(X, $fot(add(X_10, X_9))),
% 10.35/10.50 bind(Y, $fot(add(X_9, X_10)))]])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_253, plain, (add(X_9, X_10) = add(X_10, X_9)),
% 10.35/10.50 inference(resolve, [$cnf($equal(add(X_10, X_9), add(X_9, X_10)))],
% 10.35/10.50 [refute_0_251, refute_0_252])).
% 10.35/10.50
% 10.35/10.50 cnf(refute_0_254, plain,
% 10.35/10.50 (add(X_9, X_10) != add(X_10, X_9) |
% 10.35/10.50 add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 10.35/10.50 add(add(X_10, X_9), X_11) = add(X_9, add(X_10, X_11))),
% 10.35/10.50 introduced(tautology,
% 10.35/10.50 [equality,
% 10.35/10.50 [$cnf($equal(add(add(X_9, X_10), X_11),
% 10.35/10.50 add(X_9, add(X_10, X_11)))), [0, 0],
% 10.35/10.50 $fot(add(X_10, X_9))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_255, plain,
% 10.35/10.51 (add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 10.35/10.51 add(add(X_10, X_9), X_11) = add(X_9, add(X_10, X_11))),
% 10.35/10.51 inference(resolve, [$cnf($equal(add(X_9, X_10), add(X_10, X_9)))],
% 10.35/10.51 [refute_0_253, refute_0_254])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_256, plain,
% 10.35/10.51 (add(add(X_10, X_9), X_11) = add(X_9, add(X_10, X_11))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_9, X_10), X_11),
% 10.35/10.51 add(X_9, add(X_10, X_11))))],
% 10.35/10.51 [refute_0_250, refute_0_255])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_257, plain,
% 10.35/10.51 (add(add(X_10, X_9), X_11) = add(X_10, add(X_9, X_11))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_215 :
% 10.35/10.51 [bind(A, $fot(X_10)), bind(B, $fot(X_9)),
% 10.35/10.51 bind(C, $fot(X_11))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_258, plain,
% 10.35/10.51 (add(add(X_10, X_9), X_11) != add(X_10, add(X_9, X_11)) |
% 10.35/10.51 add(add(X_10, X_9), X_11) != add(X_9, add(X_10, X_11)) |
% 10.35/10.51 add(X_10, add(X_9, X_11)) = add(X_9, add(X_10, X_11))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf($equal(add(add(X_10, X_9), X_11),
% 10.35/10.51 add(X_9, add(X_10, X_11)))), [0],
% 10.35/10.51 $fot(add(X_10, add(X_9, X_11)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_259, plain,
% 10.35/10.51 (add(add(X_10, X_9), X_11) != add(X_9, add(X_10, X_11)) |
% 10.35/10.51 add(X_10, add(X_9, X_11)) = add(X_9, add(X_10, X_11))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_10, X_9), X_11),
% 10.35/10.51 add(X_10, add(X_9, X_11))))],
% 10.35/10.51 [refute_0_257, refute_0_258])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_260, plain,
% 10.35/10.51 (add(X_10, add(X_9, X_11)) = add(X_9, add(X_10, X_11))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_10, X_9), X_11),
% 10.35/10.51 add(X_9, add(X_10, X_11))))],
% 10.35/10.51 [refute_0_256, refute_0_259])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_261, plain,
% 10.35/10.51 (add(B, add(X_17, X_16)) = add(X_17, add(B, X_16))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_260 :
% 10.35/10.51 [bind(X_10, $fot(B)), bind(X_11, $fot(X_16)),
% 10.35/10.51 bind(X_9, $fot(X_17))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_262, plain,
% 10.35/10.51 (add(B, add(X_17, X_16)) != add(X_17, add(B, X_16)) |
% 10.35/10.51 add(add(X_17, X_16), B) != add(B, add(X_17, X_16)) |
% 10.35/10.51 add(add(X_17, X_16), B) = add(X_17, add(B, X_16))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf($equal(add(add(X_17, X_16), B),
% 10.35/10.51 add(B, add(X_17, X_16)))), [1],
% 10.35/10.51 $fot(add(X_17, add(B, X_16)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_263, plain,
% 10.35/10.51 (add(add(X_17, X_16), B) != add(B, add(X_17, X_16)) |
% 10.35/10.51 add(add(X_17, X_16), B) = add(X_17, add(B, X_16))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(B, add(X_17, X_16)),
% 10.35/10.51 add(X_17, add(B, X_16))))],
% 10.35/10.51 [refute_0_261, refute_0_262])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_264, plain,
% 10.35/10.51 (add(add(X_17, X_16), B) = add(X_17, add(B, X_16))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_17, X_16), B),
% 10.35/10.51 add(B, add(X_17, X_16))))],
% 10.35/10.51 [refute_0_249, refute_0_263])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_265, plain,
% 10.35/10.51 (add(add(X_17, X_16), B) = add(X_17, add(X_16, B))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_215 :
% 10.35/10.51 [bind(A, $fot(X_17)), bind(B, $fot(X_16)),
% 10.35/10.51 bind(C, $fot(B))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_266, plain,
% 10.35/10.51 (add(add(X_17, X_16), B) != add(X_17, add(B, X_16)) |
% 10.35/10.51 add(add(X_17, X_16), B) != add(X_17, add(X_16, B)) |
% 10.35/10.51 add(X_17, add(X_16, B)) = add(X_17, add(B, X_16))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf($equal(add(add(X_17, X_16), B),
% 10.35/10.51 add(X_17, add(B, X_16)))), [0],
% 10.35/10.51 $fot(add(X_17, add(X_16, B)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_267, plain,
% 10.35/10.51 (add(add(X_17, X_16), B) != add(X_17, add(B, X_16)) |
% 10.35/10.51 add(X_17, add(X_16, B)) = add(X_17, add(B, X_16))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_17, X_16), B),
% 10.35/10.51 add(X_17, add(X_16, B))))],
% 10.35/10.51 [refute_0_265, refute_0_266])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_268, plain,
% 10.35/10.51 (add(X_17, add(X_16, B)) = add(X_17, add(B, X_16))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_17, X_16), B),
% 10.35/10.51 add(X_17, add(B, X_16))))],
% 10.35/10.51 [refute_0_264, refute_0_267])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_269, plain,
% 10.35/10.51 (add(X_17, add(X_16, B)) != add(X_17, add(B, X_16)) |
% 10.35/10.51 add(X_17, add(B, X_16)) = add(X_17, add(X_16, B))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_103 :
% 10.35/10.51 [bind(X, $fot(add(X_17, add(X_16, B)))),
% 10.35/10.51 bind(Y, $fot(add(X_17, add(B, X_16))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_270, plain,
% 10.35/10.51 (add(X_17, add(B, X_16)) = add(X_17, add(X_16, B))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_17, add(X_16, B)),
% 10.35/10.51 add(X_17, add(B, X_16))))],
% 10.35/10.51 [refute_0_268, refute_0_269])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_271, plain,
% 10.35/10.51 (add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)) =
% 10.35/10.51 add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1)))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_270 :
% 10.35/10.51 [bind(B, $fot('==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.51 bind(X_16, $fot(0)), bind(X_17, $fot(X_479))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_272, plain,
% 10.35/10.51 (add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))) !=
% 10.35/10.51 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1)) |
% 10.35/10.51 add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)) !=
% 10.35/10.51 add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))) |
% 10.35/10.51 add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)) =
% 10.35/10.51 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_105 :
% 10.35/10.51 [bind(X,
% 10.35/10.51 $fot(add(X_479,
% 10.35/10.51 add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)))),
% 10.35/10.51 bind(Y,
% 10.35/10.51 $fot(add(X_479,
% 10.35/10.51 add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))))),
% 10.35/10.51 bind(Z,
% 10.35/10.51 $fot(add(X_479,
% 10.35/10.51 '==>'('==>'('==>'(X_479, 1), 1), 1))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_273, plain,
% 10.35/10.51 (add(X_479, add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))) !=
% 10.35/10.51 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1)) |
% 10.35/10.51 add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)) =
% 10.35/10.51 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_479,
% 10.35/10.51 add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)),
% 10.35/10.51 add(X_479,
% 10.35/10.51 add(0, '==>'('==>'('==>'(X_479, 1), 1), 1)))))],
% 10.35/10.51 [refute_0_271, refute_0_272])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_274, plain,
% 10.35/10.51 (add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)) =
% 10.35/10.51 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_479,
% 10.35/10.51 add(0, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.51 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))))],
% 10.35/10.51 [refute_0_248, refute_0_273])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_275, plain,
% 10.35/10.51 (add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)) !=
% 10.35/10.51 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1)) |
% 10.35/10.51 1 != add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)) |
% 10.35/10.51 1 = add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf($equal(1,
% 10.35/10.51 add(X_479,
% 10.35/10.51 add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)))),
% 10.35/10.51 [1],
% 10.35/10.51 $fot(add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_276, plain,
% 10.35/10.51 (1 != add(X_479, add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)) |
% 10.35/10.51 1 = add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_479,
% 10.35/10.51 add('==>'('==>'('==>'(X_479, 1), 1), 1), 0)),
% 10.35/10.51 add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))))],
% 10.35/10.51 [refute_0_274, refute_0_275])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_277, plain,
% 10.35/10.51 (1 = add(X_479, '==>'('==>'('==>'(X_479, 1), 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(1,
% 10.35/10.51 add(X_479,
% 10.35/10.51 add('==>'('==>'('==>'(X_479, 1), 1), 1), 0))))],
% 10.35/10.51 [refute_0_243, refute_0_276])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_278, plain,
% 10.35/10.51 (1 = add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1))),
% 10.35/10.51 inference(subst, [], [refute_0_277 : [bind(X_479, $fot(X_571))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_279, plain,
% 10.35/10.51 (1 != add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1)) |
% 10.35/10.51 add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1)) = 1),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_103 :
% 10.35/10.51 [bind(X, $fot(1)),
% 10.35/10.51 bind(Y,
% 10.35/10.51 $fot(add(X_571,
% 10.35/10.51 '==>'('==>'('==>'(X_571, 1), 1), 1))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_280, plain,
% 10.35/10.51 (add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1)) = 1),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(1,
% 10.35/10.51 add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1))))],
% 10.35/10.51 [refute_0_278, refute_0_279])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_281, plain,
% 10.35/10.51 (add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1)) != 1 |
% 10.35/10.51 ~
% 10.35/10.51 greater_equal(add(X_573, X_571),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_571, 1), 1), 1),
% 10.35/10.51 add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1)))) |
% 10.35/10.51 greater_equal(add(X_573, X_571),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_571, 1), 1), 1), 1))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal(add(X_573, X_571),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_571, 1), 1), 1),
% 10.35/10.51 add(X_571,
% 10.35/10.51 '==>'('==>'('==>'(X_571, 1), 1), 1))))),
% 10.35/10.51 [1, 1], $fot(1)]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_282, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal(add(X_573, X_571),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_571, 1), 1), 1),
% 10.35/10.51 add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1)))) |
% 10.35/10.51 greater_equal(add(X_573, X_571),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_571, 1), 1), 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_571, '==>'('==>'('==>'(X_571, 1), 1), 1)),
% 10.35/10.51 1))], [refute_0_280, refute_0_281])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_283, plain,
% 10.35/10.51 (greater_equal(add(X_573, X_571),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_571, 1), 1), 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(add(X_573, X_571),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_571, 1), 1), 1),
% 10.35/10.51 add(X_571,
% 10.35/10.51 '==>'('==>'('==>'(X_571, 1), 1), 1)))))],
% 10.35/10.51 [refute_0_229, refute_0_282])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_284, plain,
% 10.35/10.51 (greater_equal(add(X_575, X_574),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_574, 1), 1), 1), 1))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_283 :
% 10.35/10.51 [bind(X_571, $fot(X_574)), bind(X_573, $fot(X_575))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_285, plain, (add(X_574, X_575) = add(X_575, X_574)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_11 :
% 10.35/10.51 [bind(A, $fot(X_574)), bind(B, $fot(X_575))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_286, plain,
% 10.35/10.51 (add(X_574, X_575) != add(X_575, X_574) |
% 10.35/10.51 add(X_575, X_574) = add(X_574, X_575)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_103 :
% 10.35/10.51 [bind(X, $fot(add(X_574, X_575))),
% 10.35/10.51 bind(Y, $fot(add(X_575, X_574)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_287, plain, (add(X_575, X_574) = add(X_574, X_575)),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_574, X_575), add(X_575, X_574)))],
% 10.35/10.51 [refute_0_285, refute_0_286])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_288, plain,
% 10.35/10.51 (add(X_575, X_574) != add(X_574, X_575) |
% 10.35/10.51 ~
% 10.35/10.51 greater_equal(add(X_575, X_574),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_574, 1), 1), 1), 1)) |
% 10.35/10.51 greater_equal(add(X_574, X_575),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_574, 1), 1), 1), 1))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal(add(X_575, X_574),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_574, 1), 1), 1), 1))),
% 10.35/10.51 [0], $fot(add(X_574, X_575))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_289, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal(add(X_575, X_574),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_574, 1), 1), 1), 1)) |
% 10.35/10.51 greater_equal(add(X_574, X_575),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_574, 1), 1), 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_575, X_574), add(X_574, X_575)))],
% 10.35/10.51 [refute_0_287, refute_0_288])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_290, plain,
% 10.35/10.51 (greater_equal(add(X_574, X_575),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_574, 1), 1), 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(add(X_575, X_574),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_574, 1), 1), 1), 1)))],
% 10.35/10.51 [refute_0_284, refute_0_289])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_291, plain,
% 10.35/10.51 (greater_equal(add(X_576, 0),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_576, 1), 1), 1), 1))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_290 :
% 10.35/10.51 [bind(X_574, $fot(X_576)), bind(X_575, $fot(0))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_292, plain, (add(X_576, 0) = X_576),
% 10.35/10.51 inference(subst, [], [refute_0_10 : [bind(A, $fot(X_576))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_293, plain,
% 10.35/10.51 (add(X_576, 0) != X_576 |
% 10.35/10.51 ~
% 10.35/10.51 greater_equal(add(X_576, 0),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_576, 1), 1), 1), 1)) |
% 10.35/10.51 greater_equal(X_576, '==>'('==>'('==>'('==>'(X_576, 1), 1), 1), 1))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal(add(X_576, 0),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_576, 1), 1), 1), 1))),
% 10.35/10.51 [0], $fot(X_576)]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_294, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal(add(X_576, 0),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_576, 1), 1), 1), 1)) |
% 10.35/10.51 greater_equal(X_576, '==>'('==>'('==>'('==>'(X_576, 1), 1), 1), 1))),
% 10.35/10.51 inference(resolve, [$cnf($equal(add(X_576, 0), X_576))],
% 10.35/10.51 [refute_0_292, refute_0_293])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_295, plain,
% 10.35/10.51 (greater_equal(X_576, '==>'('==>'('==>'('==>'(X_576, 1), 1), 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(add(X_576, 0),
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_576, 1), 1), 1), 1)))],
% 10.35/10.51 [refute_0_291, refute_0_294])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_296, plain,
% 10.35/10.51 (greater_equal(X_724, '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1))),
% 10.35/10.51 inference(subst, [], [refute_0_295 : [bind(X_576, $fot(X_724))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_297, plain,
% 10.35/10.51 (X_724 = '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1)),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(X_724,
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1)))],
% 10.35/10.51 [refute_0_296, refute_0_212])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_298, plain,
% 10.35/10.51 ('==>'('==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1),
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1)) =
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_116 :
% 10.35/10.51 [bind(X_404, $fot('==>'('==>'('==>'(X_725, 1), 1), 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_299, plain,
% 10.35/10.51 (X_725 = '==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1)),
% 10.35/10.51 inference(subst, [], [refute_0_297 : [bind(X_724, $fot(X_725))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_300, plain,
% 10.35/10.51 (X_725 != '==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1) |
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1) = X_725),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_103 :
% 10.35/10.51 [bind(X, $fot(X_725)),
% 10.35/10.51 bind(Y,
% 10.35/10.51 $fot('==>'('==>'('==>'('==>'(X_725, 1), 1), 1),
% 10.35/10.51 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_301, plain,
% 10.35/10.51 ('==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1) = X_725),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(X_725,
% 10.35/10.51 '==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1)))],
% 10.35/10.51 [refute_0_299, refute_0_300])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_302, plain,
% 10.35/10.51 ('==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1) != X_725 |
% 10.35/10.51 '==>'('==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1),
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1)) !=
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1) |
% 10.35/10.51 '==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) =
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(X_725, 1), 1),
% 10.35/10.51 1), 1), '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1))), [0, 0],
% 10.35/10.51 $fot(X_725)]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_303, plain,
% 10.35/10.51 ('==>'('==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1),
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1)) !=
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1) |
% 10.35/10.51 '==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) =
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal('==>'('==>'('==>'('==>'(X_725, 1), 1), 1), 1),
% 10.35/10.51 X_725))], [refute_0_301, refute_0_302])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_304, plain,
% 10.35/10.51 ('==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) =
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal('==>'('==>'('==>'('==>'('==>'(X_725, 1), 1), 1),
% 10.35/10.51 1), '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.51 '==>'('==>'('==>'(X_725, 1), 1), 1)))],
% 10.35/10.51 [refute_0_298, refute_0_303])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_305, plain,
% 10.35/10.51 (~ greater_equal('==>'(X_468, 1), '==>'(X_468, '==>'(X_468, 1))) |
% 10.35/10.51 ~ greater_equal('==>'(X_468, '==>'(X_468, 1)), '==>'(X_468, 1)) |
% 10.35/10.51 '==>'(X_468, 1) = '==>'(X_468, '==>'(X_468, 1))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_1 :
% 10.35/10.51 [bind(X3, $fot('==>'(X_468, 1))),
% 10.35/10.51 bind(X4, $fot('==>'(X_468, '==>'(X_468, 1))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_306, plain,
% 10.35/10.51 (greater_equal('==>'(X_452, '==>'(X_452, 1)),
% 10.35/10.51 '==>'('==>'('==>'(X_452, 1), 1), '==>'(X_452, 1)))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_122 :
% 10.35/10.51 [bind(X13, $fot('==>'(X_452, 1))),
% 10.35/10.51 bind(X_411, $fot(X_452))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_307, plain,
% 10.35/10.51 ('==>'('==>'('==>'(X_452, 1), 1), '==>'(X_452, 1)) = '==>'(X_452, 1)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_116 : [bind(X_404, $fot('==>'(X_452, 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_308, plain,
% 10.35/10.51 ('==>'('==>'('==>'(X_452, 1), 1), '==>'(X_452, 1)) != '==>'(X_452, 1) |
% 10.35/10.51 ~
% 10.35/10.51 greater_equal('==>'(X_452, '==>'(X_452, 1)),
% 10.35/10.51 '==>'('==>'('==>'(X_452, 1), 1), '==>'(X_452, 1))) |
% 10.35/10.51 greater_equal('==>'(X_452, '==>'(X_452, 1)), '==>'(X_452, 1))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal('==>'(X_452, '==>'(X_452, 1)),
% 10.35/10.51 '==>'('==>'('==>'(X_452, 1), 1),
% 10.35/10.51 '==>'(X_452, 1)))), [1],
% 10.35/10.51 $fot('==>'(X_452, 1))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_309, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal('==>'(X_452, '==>'(X_452, 1)),
% 10.35/10.51 '==>'('==>'('==>'(X_452, 1), 1), '==>'(X_452, 1))) |
% 10.35/10.51 greater_equal('==>'(X_452, '==>'(X_452, 1)), '==>'(X_452, 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal('==>'('==>'('==>'(X_452, 1), 1),
% 10.35/10.51 '==>'(X_452, 1)), '==>'(X_452, 1)))],
% 10.35/10.51 [refute_0_307, refute_0_308])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_310, plain,
% 10.35/10.51 (greater_equal('==>'(X_452, '==>'(X_452, 1)), '==>'(X_452, 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal('==>'(X_452, '==>'(X_452, 1)),
% 10.35/10.51 '==>'('==>'('==>'(X_452, 1), 1), '==>'(X_452, 1))))],
% 10.35/10.51 [refute_0_306, refute_0_309])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_311, plain,
% 10.35/10.51 (greater_equal('==>'(X_468, '==>'(X_468, 1)), '==>'(X_468, 1))),
% 10.35/10.51 inference(subst, [], [refute_0_310 : [bind(X_452, $fot(X_468))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_312, plain,
% 10.35/10.51 (~ greater_equal('==>'(X_468, 1), '==>'(X_468, '==>'(X_468, 1))) |
% 10.35/10.51 '==>'(X_468, 1) = '==>'(X_468, '==>'(X_468, 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal('==>'(X_468, '==>'(X_468, 1)),
% 10.35/10.51 '==>'(X_468, 1)))], [refute_0_311, refute_0_305])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_313, plain,
% 10.35/10.51 (greater_equal('==>'(X_468, 1), '==>'(X_468, '==>'(X_468, 1)))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_86 :
% 10.35/10.51 [bind(X_148, $fot(X_468)),
% 10.35/10.51 bind(X_150, $fot('==>'(X_468, 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_314, plain, ('==>'(X_468, 1) = '==>'(X_468, '==>'(X_468, 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal('==>'(X_468, 1),
% 10.35/10.51 '==>'(X_468, '==>'(X_468, 1))))],
% 10.35/10.51 [refute_0_313, refute_0_312])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_315, plain,
% 10.35/10.51 ('==>'(X_468, 1) != '==>'(X_468, '==>'(X_468, 1)) |
% 10.35/10.51 '==>'(X_468, '==>'(X_468, 1)) = '==>'(X_468, 1)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_103 :
% 10.35/10.51 [bind(X, $fot('==>'(X_468, 1))),
% 10.35/10.51 bind(Y, $fot('==>'(X_468, '==>'(X_468, 1))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_316, plain, ('==>'(X_468, '==>'(X_468, 1)) = '==>'(X_468, 1)),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal('==>'(X_468, 1),
% 10.35/10.51 '==>'(X_468, '==>'(X_468, 1))))],
% 10.35/10.51 [refute_0_314, refute_0_315])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_317, plain, ('==>'(X_725, '==>'(X_725, 1)) = '==>'(X_725, 1)),
% 10.35/10.51 inference(subst, [], [refute_0_316 : [bind(X_468, $fot(X_725))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_318, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal('==>'(X_716, X_715),
% 10.35/10.51 '==>'(X_716, '==>'('==>'(X_715, 1), 1))) |
% 10.35/10.51 ~
% 10.35/10.51 greater_equal('==>'(X_716, '==>'('==>'(X_715, 1), 1)),
% 10.35/10.51 '==>'(X_716, X_715)) |
% 10.35/10.51 '==>'(X_716, X_715) = '==>'(X_716, '==>'('==>'(X_715, 1), 1))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_1 :
% 10.35/10.51 [bind(X3, $fot('==>'(X_716, X_715))),
% 10.35/10.51 bind(X4,
% 10.35/10.51 $fot('==>'(X_716, '==>'('==>'(X_715, 1), 1))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_319, plain,
% 10.35/10.51 (greater_equal('==>'(X_709,
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1),
% 10.35/10.51 '==>'('==>'('==>'(X_708, 1), 1), X_708))),
% 10.35/10.51 '==>'(X_709, X_708))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_46 :
% 10.35/10.51 [bind(X_339, $fot(X_708)), bind(X_340, $fot(X_709)),
% 10.35/10.51 bind(X_84, $fot('==>'('==>'(X_708, 1), 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_320, plain, ('==>'('==>'('==>'(X_708, 1), 1), X_708) = 0),
% 10.35/10.51 inference(subst, [], [refute_0_137 : [bind(X_453, $fot(X_708))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_321, plain,
% 10.35/10.51 ('==>'('==>'('==>'(X_708, 1), 1), X_708) != 0 |
% 10.35/10.51 ~
% 10.35/10.51 greater_equal('==>'(X_709,
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1),
% 10.35/10.51 '==>'('==>'('==>'(X_708, 1), 1), X_708))),
% 10.35/10.51 '==>'(X_709, X_708)) |
% 10.35/10.51 greater_equal('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, X_708))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal('==>'(X_709,
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1),
% 10.35/10.51 '==>'('==>'('==>'(X_708, 1), 1), X_708))),
% 10.35/10.51 '==>'(X_709, X_708))), [0, 1, 1], $fot(0)]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_322, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal('==>'(X_709,
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1),
% 10.35/10.51 '==>'('==>'('==>'(X_708, 1), 1), X_708))),
% 10.35/10.51 '==>'(X_709, X_708)) |
% 10.35/10.51 greater_equal('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, X_708))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal('==>'('==>'('==>'(X_708, 1), 1), X_708), 0))],
% 10.35/10.51 [refute_0_320, refute_0_321])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_323, plain,
% 10.35/10.51 (greater_equal('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, X_708))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal('==>'(X_709,
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1),
% 10.35/10.51 '==>'('==>'('==>'(X_708, 1), 1), X_708))),
% 10.35/10.51 '==>'(X_709, X_708)))],
% 10.35/10.51 [refute_0_319, refute_0_322])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_324, plain,
% 10.35/10.51 (add(0, '==>'('==>'(X_708, 1), 1)) = '==>'('==>'(X_708, 1), 1)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_15 : [bind(A, $fot('==>'('==>'(X_708, 1), 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_325, plain,
% 10.35/10.51 (add('==>'('==>'(X_708, 1), 1), 0) =
% 10.35/10.51 add(0, '==>'('==>'(X_708, 1), 1))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_181 :
% 10.35/10.51 [bind(X_133, $fot(0)),
% 10.35/10.51 bind(X_134, $fot('==>'('==>'(X_708, 1), 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_326, plain,
% 10.35/10.51 (add(0, '==>'('==>'(X_708, 1), 1)) != '==>'('==>'(X_708, 1), 1) |
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1), 0) !=
% 10.35/10.51 add(0, '==>'('==>'(X_708, 1), 1)) |
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1), 0) = '==>'('==>'(X_708, 1), 1)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_105 :
% 10.35/10.51 [bind(X, $fot(add('==>'('==>'(X_708, 1), 1), 0))),
% 10.35/10.51 bind(Y, $fot(add(0, '==>'('==>'(X_708, 1), 1)))),
% 10.35/10.51 bind(Z, $fot('==>'('==>'(X_708, 1), 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_327, plain,
% 10.35/10.51 (add(0, '==>'('==>'(X_708, 1), 1)) != '==>'('==>'(X_708, 1), 1) |
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1), 0) = '==>'('==>'(X_708, 1), 1)),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add('==>'('==>'(X_708, 1), 1), 0),
% 10.35/10.51 add(0, '==>'('==>'(X_708, 1), 1))))],
% 10.35/10.51 [refute_0_325, refute_0_326])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_328, plain,
% 10.35/10.51 (add('==>'('==>'(X_708, 1), 1), 0) = '==>'('==>'(X_708, 1), 1)),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(0, '==>'('==>'(X_708, 1), 1)),
% 10.35/10.51 '==>'('==>'(X_708, 1), 1)))],
% 10.35/10.51 [refute_0_324, refute_0_327])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_329, plain,
% 10.35/10.51 ('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)) =
% 10.35/10.51 '==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [refl,
% 10.35/10.51 [$fot('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_330, plain,
% 10.35/10.51 (add('==>'('==>'(X_708, 1), 1), 0) != '==>'('==>'(X_708, 1), 1) |
% 10.35/10.51 '==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)) !=
% 10.35/10.51 '==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)) |
% 10.35/10.51 '==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)) =
% 10.35/10.51 '==>'(X_709, '==>'('==>'(X_708, 1), 1))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf($equal('==>'(X_709,
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)))),
% 10.35/10.51 [1, 1], $fot('==>'('==>'(X_708, 1), 1))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_331, plain,
% 10.35/10.51 (add('==>'('==>'(X_708, 1), 1), 0) != '==>'('==>'(X_708, 1), 1) |
% 10.35/10.51 '==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)) =
% 10.35/10.51 '==>'(X_709, '==>'('==>'(X_708, 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0))))],
% 10.35/10.51 [refute_0_329, refute_0_330])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_332, plain,
% 10.35/10.51 ('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)) =
% 10.35/10.51 '==>'(X_709, '==>'('==>'(X_708, 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add('==>'('==>'(X_708, 1), 1), 0),
% 10.35/10.51 '==>'('==>'(X_708, 1), 1)))],
% 10.35/10.51 [refute_0_328, refute_0_331])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_333, plain,
% 10.35/10.51 ('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)) !=
% 10.35/10.51 '==>'(X_709, '==>'('==>'(X_708, 1), 1)) |
% 10.35/10.51 ~
% 10.35/10.51 greater_equal('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, X_708)) |
% 10.35/10.51 greater_equal('==>'(X_709, '==>'('==>'(X_708, 1), 1)),
% 10.35/10.51 '==>'(X_709, X_708))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal('==>'(X_709,
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, X_708))), [0],
% 10.35/10.51 $fot('==>'(X_709, '==>'('==>'(X_708, 1), 1)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_334, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, X_708)) |
% 10.35/10.51 greater_equal('==>'(X_709, '==>'('==>'(X_708, 1), 1)),
% 10.35/10.51 '==>'(X_709, X_708))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal('==>'(X_709, add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, '==>'('==>'(X_708, 1), 1))))],
% 10.35/10.51 [refute_0_332, refute_0_333])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_335, plain,
% 10.35/10.51 (greater_equal('==>'(X_709, '==>'('==>'(X_708, 1), 1)),
% 10.35/10.51 '==>'(X_709, X_708))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal('==>'(X_709,
% 10.35/10.51 add('==>'('==>'(X_708, 1), 1), 0)),
% 10.35/10.51 '==>'(X_709, X_708)))],
% 10.35/10.51 [refute_0_323, refute_0_334])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_336, plain,
% 10.35/10.51 (greater_equal('==>'(X_716, '==>'('==>'(X_715, 1), 1)),
% 10.35/10.51 '==>'(X_716, X_715))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_335 :
% 10.35/10.51 [bind(X_708, $fot(X_715)), bind(X_709, $fot(X_716))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_337, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal('==>'(X_716, X_715),
% 10.35/10.51 '==>'(X_716, '==>'('==>'(X_715, 1), 1))) |
% 10.35/10.51 '==>'(X_716, X_715) = '==>'(X_716, '==>'('==>'(X_715, 1), 1))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal('==>'(X_716, '==>'('==>'(X_715, 1), 1)),
% 10.35/10.51 '==>'(X_716, X_715)))],
% 10.35/10.51 [refute_0_336, refute_0_318])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_338, plain,
% 10.35/10.51 (greater_equal('==>'(X_709,
% 10.35/10.51 add(X_710, '==>'(X_710, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.51 '==>'(X_709, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_46 :
% 10.35/10.51 [bind(X_339, $fot('==>'('==>'(X_710, 1), 1))),
% 10.35/10.51 bind(X_340, $fot(X_709)), bind(X_84, $fot(X_710))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_339, plain,
% 10.35/10.51 (~ greater_equal(0, '==>'(X_625, '==>'('==>'(X_625, 1), 1))) |
% 10.35/10.51 '==>'(X_625, '==>'('==>'(X_625, 1), 1)) = 0),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_50 :
% 10.35/10.51 [bind(X_403,
% 10.35/10.51 $fot('==>'(X_625, '==>'('==>'(X_625, 1), 1))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_340, plain,
% 10.35/10.51 (greater_equal(add(X_25, add(X_11, X_10)), add(X_11, X_10))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_19 :
% 10.35/10.51 [bind(X_21, $fot(add(X_11, X_10))),
% 10.35/10.51 bind(X_22, $fot(X_25))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_341, plain, (add(X_11, X_10) = add(X_10, X_11)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_11 : [bind(A, $fot(X_11)), bind(B, $fot(X_10))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_342, plain,
% 10.35/10.51 (add(X_11, X_10) != add(X_10, X_11) |
% 10.35/10.51 add(X_10, X_11) = add(X_11, X_10)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_103 :
% 10.35/10.51 [bind(X, $fot(add(X_11, X_10))),
% 10.35/10.51 bind(Y, $fot(add(X_10, X_11)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_343, plain, (add(X_10, X_11) = add(X_11, X_10)),
% 10.35/10.51 inference(resolve, [$cnf($equal(add(X_11, X_10), add(X_10, X_11)))],
% 10.35/10.51 [refute_0_341, refute_0_342])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_344, plain,
% 10.35/10.51 (add(X_10, X_11) != add(X_11, X_10) |
% 10.35/10.51 add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 10.35/10.51 add(add(X_9, X_10), X_11) = add(X_9, add(X_11, X_10))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf($equal(add(add(X_9, X_10), X_11),
% 10.35/10.51 add(X_9, add(X_10, X_11)))), [1, 1],
% 10.35/10.51 $fot(add(X_11, X_10))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_345, plain,
% 10.35/10.51 (add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 10.35/10.51 add(add(X_9, X_10), X_11) = add(X_9, add(X_11, X_10))),
% 10.35/10.51 inference(resolve, [$cnf($equal(add(X_10, X_11), add(X_11, X_10)))],
% 10.35/10.51 [refute_0_343, refute_0_344])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_346, plain,
% 10.35/10.51 (add(add(X_9, X_10), X_11) = add(X_9, add(X_11, X_10))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_9, X_10), X_11),
% 10.35/10.51 add(X_9, add(X_10, X_11))))],
% 10.35/10.51 [refute_0_250, refute_0_345])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_347, plain,
% 10.35/10.51 (add(add(X_9, X_10), X_11) != add(X_9, add(X_10, X_11)) |
% 10.35/10.51 add(add(X_9, X_10), X_11) != add(X_9, add(X_11, X_10)) |
% 10.35/10.51 add(X_9, add(X_10, X_11)) = add(X_9, add(X_11, X_10))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf($equal(add(add(X_9, X_10), X_11),
% 10.35/10.51 add(X_9, add(X_11, X_10)))), [0],
% 10.35/10.51 $fot(add(X_9, add(X_10, X_11)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_348, plain,
% 10.35/10.51 (add(add(X_9, X_10), X_11) != add(X_9, add(X_11, X_10)) |
% 10.35/10.51 add(X_9, add(X_10, X_11)) = add(X_9, add(X_11, X_10))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_9, X_10), X_11),
% 10.35/10.51 add(X_9, add(X_10, X_11))))],
% 10.35/10.51 [refute_0_250, refute_0_347])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_349, plain,
% 10.35/10.51 (add(X_9, add(X_10, X_11)) = add(X_9, add(X_11, X_10))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_9, X_10), X_11),
% 10.35/10.51 add(X_9, add(X_11, X_10))))],
% 10.35/10.51 [refute_0_346, refute_0_348])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_350, plain,
% 10.35/10.51 (add(X_25, add(X_10, X_11)) = add(X_25, add(X_11, X_10))),
% 10.35/10.51 inference(subst, [], [refute_0_349 : [bind(X_9, $fot(X_25))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_351, plain,
% 10.35/10.51 (add(X_25, add(X_10, X_11)) != add(X_25, add(X_11, X_10)) |
% 10.35/10.51 add(X_25, add(X_11, X_10)) = add(X_25, add(X_10, X_11))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_103 :
% 10.35/10.51 [bind(X, $fot(add(X_25, add(X_10, X_11)))),
% 10.35/10.51 bind(Y, $fot(add(X_25, add(X_11, X_10))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_352, plain,
% 10.35/10.51 (add(X_25, add(X_11, X_10)) = add(X_25, add(X_10, X_11))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_25, add(X_10, X_11)),
% 10.35/10.51 add(X_25, add(X_11, X_10))))],
% 10.35/10.51 [refute_0_350, refute_0_351])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_353, plain,
% 10.35/10.51 (add(X_25, add(X_11, X_10)) != add(X_25, add(X_10, X_11)) |
% 10.35/10.51 ~ greater_equal(add(X_25, add(X_11, X_10)), add(X_11, X_10)) |
% 10.35/10.51 greater_equal(add(X_25, add(X_10, X_11)), add(X_11, X_10))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal(add(X_25, add(X_11, X_10)),
% 10.35/10.51 add(X_11, X_10))), [0],
% 10.35/10.51 $fot(add(X_25, add(X_10, X_11)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_354, plain,
% 10.35/10.51 (~ greater_equal(add(X_25, add(X_11, X_10)), add(X_11, X_10)) |
% 10.35/10.51 greater_equal(add(X_25, add(X_10, X_11)), add(X_11, X_10))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_25, add(X_11, X_10)),
% 10.35/10.51 add(X_25, add(X_10, X_11))))],
% 10.35/10.51 [refute_0_352, refute_0_353])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_355, plain,
% 10.35/10.51 (greater_equal(add(X_25, add(X_10, X_11)), add(X_11, X_10))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(add(X_25, add(X_11, X_10)),
% 10.35/10.51 add(X_11, X_10)))], [refute_0_340, refute_0_354])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_356, plain,
% 10.35/10.51 (greater_equal(add(X_41, add(X_39, X_40)), add(X_40, X_39))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_355 :
% 10.35/10.51 [bind(X_10, $fot(X_39)), bind(X_11, $fot(X_40)),
% 10.35/10.51 bind(X_25, $fot(X_41))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_357, plain,
% 10.35/10.51 (add(add(X_39, X_40), X_41) = add(X_41, add(X_39, X_40))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_11 :
% 10.35/10.51 [bind(A, $fot(add(X_39, X_40))), bind(B, $fot(X_41))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_358, plain,
% 10.35/10.51 (add(add(X_39, X_40), X_41) != add(X_41, add(X_39, X_40)) |
% 10.35/10.51 add(X_41, add(X_39, X_40)) = add(add(X_39, X_40), X_41)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_103 :
% 10.35/10.51 [bind(X, $fot(add(add(X_39, X_40), X_41))),
% 10.35/10.51 bind(Y, $fot(add(X_41, add(X_39, X_40))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_359, plain,
% 10.35/10.51 (add(X_41, add(X_39, X_40)) = add(add(X_39, X_40), X_41)),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_39, X_40), X_41),
% 10.35/10.51 add(X_41, add(X_39, X_40))))],
% 10.35/10.51 [refute_0_357, refute_0_358])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_360, plain,
% 10.35/10.51 (add(X_41, add(X_39, X_40)) != add(add(X_39, X_40), X_41) |
% 10.35/10.51 ~ greater_equal(add(X_41, add(X_39, X_40)), add(X_40, X_39)) |
% 10.35/10.51 greater_equal(add(add(X_39, X_40), X_41), add(X_40, X_39))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal(add(X_41, add(X_39, X_40)),
% 10.35/10.51 add(X_40, X_39))), [0],
% 10.35/10.51 $fot(add(add(X_39, X_40), X_41))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_361, plain,
% 10.35/10.51 (~ greater_equal(add(X_41, add(X_39, X_40)), add(X_40, X_39)) |
% 10.35/10.51 greater_equal(add(add(X_39, X_40), X_41), add(X_40, X_39))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(X_41, add(X_39, X_40)),
% 10.35/10.51 add(add(X_39, X_40), X_41)))],
% 10.35/10.51 [refute_0_359, refute_0_360])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_362, plain,
% 10.35/10.51 (greater_equal(add(add(X_39, X_40), X_41), add(X_40, X_39))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(add(X_41, add(X_39, X_40)),
% 10.35/10.51 add(X_40, X_39)))], [refute_0_356, refute_0_361])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_363, plain,
% 10.35/10.51 (add(add(X_39, X_40), X_41) = add(X_39, add(X_40, X_41))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_215 :
% 10.35/10.51 [bind(A, $fot(X_39)), bind(B, $fot(X_40)),
% 10.35/10.51 bind(C, $fot(X_41))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_364, plain,
% 10.35/10.51 (add(add(X_39, X_40), X_41) != add(X_39, add(X_40, X_41)) |
% 10.35/10.51 ~ greater_equal(add(add(X_39, X_40), X_41), add(X_40, X_39)) |
% 10.35/10.51 greater_equal(add(X_39, add(X_40, X_41)), add(X_40, X_39))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal(add(add(X_39, X_40), X_41),
% 10.35/10.51 add(X_40, X_39))), [0],
% 10.35/10.51 $fot(add(X_39, add(X_40, X_41)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_365, plain,
% 10.35/10.51 (~ greater_equal(add(add(X_39, X_40), X_41), add(X_40, X_39)) |
% 10.35/10.51 greater_equal(add(X_39, add(X_40, X_41)), add(X_40, X_39))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal(add(add(X_39, X_40), X_41),
% 10.35/10.51 add(X_39, add(X_40, X_41))))],
% 10.35/10.51 [refute_0_363, refute_0_364])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_366, plain,
% 10.35/10.51 (greater_equal(add(X_39, add(X_40, X_41)), add(X_40, X_39))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(add(add(X_39, X_40), X_41),
% 10.35/10.51 add(X_40, X_39)))], [refute_0_362, refute_0_365])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_367, plain,
% 10.35/10.51 (greater_equal(add(X_148, add(X_40, X_41)), add(X_40, X_148))),
% 10.35/10.51 inference(subst, [], [refute_0_366 : [bind(X_39, $fot(X_148))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_368, plain,
% 10.35/10.51 (~ greater_equal(add(X_148, add(X_40, X_41)), add(X_40, X_148)) |
% 10.35/10.51 greater_equal(add(X_40, X_41), '==>'(X_148, add(X_40, X_148)))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_84 :
% 10.35/10.51 [bind(X5, $fot(X_148)), bind(X6, $fot(add(X_40, X_41))),
% 10.35/10.51 bind(X7, $fot(add(X_40, X_148)))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_369, plain,
% 10.35/10.51 (greater_equal(add(X_40, X_41), '==>'(X_148, add(X_40, X_148)))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(add(X_148, add(X_40, X_41)),
% 10.35/10.51 add(X_40, X_148)))], [refute_0_367, refute_0_368])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_370, plain,
% 10.35/10.51 (~ greater_equal(add(X_40, X_41), '==>'(X_148, add(X_40, X_148))) |
% 10.35/10.51 greater_equal('==>'('==>'(X_148, add(X_40, X_148)), X_278),
% 10.35/10.51 '==>'(add(X_40, X_41), X_278))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_3 :
% 10.35/10.51 [bind(X11, $fot(add(X_40, X_41))),
% 10.35/10.51 bind(X12, $fot('==>'(X_148, add(X_40, X_148)))),
% 10.35/10.51 bind(X13, $fot(X_278))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_371, plain,
% 10.35/10.51 (greater_equal('==>'('==>'(X_148, add(X_40, X_148)), X_278),
% 10.35/10.51 '==>'(add(X_40, X_41), X_278))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(add(X_40, X_41),
% 10.35/10.51 '==>'(X_148, add(X_40, X_148))))],
% 10.35/10.51 [refute_0_369, refute_0_370])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_372, plain,
% 10.35/10.51 (greater_equal('==>'('==>'(X_616, add(X_618, X_616)),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616))),
% 10.35/10.51 '==>'(add(X_618, X_619), '==>'(X_616, add(X_618, X_616))))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_371 :
% 10.35/10.51 [bind(X_148, $fot(X_616)),
% 10.35/10.51 bind(X_278, $fot('==>'(X_616, add(X_618, X_616)))),
% 10.35/10.51 bind(X_40, $fot(X_618)), bind(X_41, $fot(X_619))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_373, plain,
% 10.35/10.51 ('==>'('==>'(X_616, add(X_618, X_616)),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616))) = 0),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_131 :
% 10.35/10.51 [bind(A, $fot('==>'(X_616, add(X_618, X_616))))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_374, plain,
% 10.35/10.51 ('==>'('==>'(X_616, add(X_618, X_616)),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616))) != 0 |
% 10.35/10.51 ~
% 10.35/10.51 greater_equal('==>'('==>'(X_616, add(X_618, X_616)),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616))),
% 10.35/10.51 '==>'(add(X_618, X_619), '==>'(X_616, add(X_618, X_616)))) |
% 10.35/10.51 greater_equal(0,
% 10.35/10.51 '==>'(add(X_618, X_619), '==>'(X_616, add(X_618, X_616))))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal('==>'('==>'(X_616, add(X_618, X_616)),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616))),
% 10.35/10.51 '==>'(add(X_618, X_619),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616))))), [0],
% 10.35/10.51 $fot(0)]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_375, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal('==>'('==>'(X_616, add(X_618, X_616)),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616))),
% 10.35/10.51 '==>'(add(X_618, X_619), '==>'(X_616, add(X_618, X_616)))) |
% 10.35/10.51 greater_equal(0,
% 10.35/10.51 '==>'(add(X_618, X_619), '==>'(X_616, add(X_618, X_616))))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf($equal('==>'('==>'(X_616, add(X_618, X_616)),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616))), 0))],
% 10.35/10.51 [refute_0_373, refute_0_374])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_376, plain,
% 10.35/10.51 (greater_equal(0,
% 10.35/10.51 '==>'(add(X_618, X_619), '==>'(X_616, add(X_618, X_616))))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal('==>'('==>'(X_616, add(X_618, X_616)),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616))),
% 10.35/10.51 '==>'(add(X_618, X_619),
% 10.35/10.51 '==>'(X_616, add(X_618, X_616)))))],
% 10.35/10.51 [refute_0_372, refute_0_375])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_377, plain,
% 10.35/10.51 (greater_equal(0,
% 10.35/10.51 '==>'(add(X_621, 0), '==>'(X_620, add(X_621, X_620))))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_376 :
% 10.35/10.51 [bind(X_616, $fot(X_620)), bind(X_618, $fot(X_621)),
% 10.35/10.51 bind(X_619, $fot(0))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_378, plain, (add(X_621, 0) = X_621),
% 10.35/10.51 inference(subst, [], [refute_0_10 : [bind(A, $fot(X_621))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_379, plain,
% 10.35/10.51 (add(X_621, 0) != X_621 |
% 10.35/10.51 ~
% 10.35/10.51 greater_equal(0,
% 10.35/10.51 '==>'(add(X_621, 0), '==>'(X_620, add(X_621, X_620)))) |
% 10.35/10.51 greater_equal(0, '==>'(X_621, '==>'(X_620, add(X_621, X_620))))),
% 10.35/10.51 introduced(tautology,
% 10.35/10.51 [equality,
% 10.35/10.51 [$cnf(greater_equal(0,
% 10.35/10.51 '==>'(add(X_621, 0),
% 10.35/10.51 '==>'(X_620, add(X_621, X_620))))), [1, 0],
% 10.35/10.51 $fot(X_621)]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_380, plain,
% 10.35/10.51 (~
% 10.35/10.51 greater_equal(0,
% 10.35/10.51 '==>'(add(X_621, 0), '==>'(X_620, add(X_621, X_620)))) |
% 10.35/10.51 greater_equal(0, '==>'(X_621, '==>'(X_620, add(X_621, X_620))))),
% 10.35/10.51 inference(resolve, [$cnf($equal(add(X_621, 0), X_621))],
% 10.35/10.51 [refute_0_378, refute_0_379])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_381, plain,
% 10.35/10.51 (greater_equal(0, '==>'(X_621, '==>'(X_620, add(X_621, X_620))))),
% 10.35/10.51 inference(resolve,
% 10.35/10.51 [$cnf(greater_equal(0,
% 10.35/10.51 '==>'(add(X_621, 0),
% 10.35/10.51 '==>'(X_620, add(X_621, X_620)))))],
% 10.35/10.51 [refute_0_377, refute_0_380])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_382, plain,
% 10.35/10.51 (greater_equal(0,
% 10.35/10.51 '==>'(X_624, '==>'('==>'(X_624, 1), add(X_624, '==>'(X_624, 1)))))),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_381 :
% 10.35/10.51 [bind(X_620, $fot('==>'(X_624, 1))),
% 10.35/10.51 bind(X_621, $fot(X_624))]])).
% 10.35/10.51
% 10.35/10.51 cnf(refute_0_383, plain,
% 10.35/10.51 (~ greater_equal('==>'(X_342, 1), '==>'(X_342, X_341)) |
% 10.35/10.51 greater_equal(add(X_342, '==>'(X_342, 1)), X_341)),
% 10.35/10.51 inference(subst, [],
% 10.35/10.51 [refute_0_38 :
% 10.35/10.51 [bind(X5, $fot(X_342)), bind(X6, $fot('==>'(X_342, 1))),
% 10.35/10.51 bind(X7, $fot(X_341))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_384, plain,
% 10.35/10.52 (greater_equal(add(X_342, '==>'(X_342, 1)), X_341)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(X_342, 1), '==>'(X_342, X_341)))],
% 10.35/10.52 [refute_0_34, refute_0_383])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_385, plain, (greater_equal(add(X_342, '==>'(X_342, 1)), 1)),
% 10.35/10.52 inference(subst, [], [refute_0_384 : [bind(X_341, $fot(1))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_386, plain,
% 10.35/10.52 (~ greater_equal(add(X_342, '==>'(X_342, 1)), 1) |
% 10.35/10.52 1 = add(X_342, '==>'(X_342, 1))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_232 :
% 10.35/10.52 [bind(X_404, $fot(add(X_342, '==>'(X_342, 1))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_387, plain, (1 = add(X_342, '==>'(X_342, 1))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(X_342, '==>'(X_342, 1)), 1))],
% 10.35/10.52 [refute_0_385, refute_0_386])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_388, plain, (1 = add(X_624, '==>'(X_624, 1))),
% 10.35/10.52 inference(subst, [], [refute_0_387 : [bind(X_342, $fot(X_624))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_389, plain,
% 10.35/10.52 (1 != add(X_624, '==>'(X_624, 1)) | add(X_624, '==>'(X_624, 1)) = 1),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_103 :
% 10.35/10.52 [bind(X, $fot(1)),
% 10.35/10.52 bind(Y, $fot(add(X_624, '==>'(X_624, 1))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_390, plain, (add(X_624, '==>'(X_624, 1)) = 1),
% 10.35/10.52 inference(resolve, [$cnf($equal(1, add(X_624, '==>'(X_624, 1))))],
% 10.35/10.52 [refute_0_388, refute_0_389])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_391, plain,
% 10.35/10.52 (add(X_624, '==>'(X_624, 1)) != 1 |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal(0,
% 10.35/10.52 '==>'(X_624,
% 10.35/10.52 '==>'('==>'(X_624, 1), add(X_624, '==>'(X_624, 1))))) |
% 10.35/10.52 greater_equal(0, '==>'(X_624, '==>'('==>'(X_624, 1), 1)))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal(0,
% 10.35/10.52 '==>'(X_624,
% 10.35/10.52 '==>'('==>'(X_624, 1),
% 10.35/10.52 add(X_624, '==>'(X_624, 1)))))), [1, 1, 1],
% 10.35/10.52 $fot(1)]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_392, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal(0,
% 10.35/10.52 '==>'(X_624,
% 10.35/10.52 '==>'('==>'(X_624, 1), add(X_624, '==>'(X_624, 1))))) |
% 10.35/10.52 greater_equal(0, '==>'(X_624, '==>'('==>'(X_624, 1), 1)))),
% 10.35/10.52 inference(resolve, [$cnf($equal(add(X_624, '==>'(X_624, 1)), 1))],
% 10.35/10.52 [refute_0_390, refute_0_391])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_393, plain,
% 10.35/10.52 (greater_equal(0, '==>'(X_624, '==>'('==>'(X_624, 1), 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(0,
% 10.35/10.52 '==>'(X_624,
% 10.35/10.52 '==>'('==>'(X_624, 1),
% 10.35/10.52 add(X_624, '==>'(X_624, 1))))))],
% 10.35/10.52 [refute_0_382, refute_0_392])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_394, plain,
% 10.35/10.52 (greater_equal(0, '==>'(X_625, '==>'('==>'(X_625, 1), 1)))),
% 10.35/10.52 inference(subst, [], [refute_0_393 : [bind(X_624, $fot(X_625))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_395, plain, ('==>'(X_625, '==>'('==>'(X_625, 1), 1)) = 0),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(0,
% 10.35/10.52 '==>'(X_625, '==>'('==>'(X_625, 1), 1))))],
% 10.35/10.52 [refute_0_394, refute_0_339])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_396, plain, ('==>'(X_710, '==>'('==>'(X_710, 1), 1)) = 0),
% 10.35/10.52 inference(subst, [], [refute_0_395 : [bind(X_625, $fot(X_710))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_397, plain,
% 10.35/10.52 ('==>'(X_710, '==>'('==>'(X_710, 1), 1)) != 0 |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'(X_709,
% 10.35/10.52 add(X_710, '==>'(X_710, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1))) |
% 10.35/10.52 greater_equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal('==>'(X_709,
% 10.35/10.52 add(X_710,
% 10.35/10.52 '==>'(X_710, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 [0, 1, 1], $fot(0)]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_398, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(X_709,
% 10.35/10.52 add(X_710, '==>'(X_710, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1))) |
% 10.35/10.52 greater_equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_710, '==>'('==>'(X_710, 1), 1)), 0))],
% 10.35/10.52 [refute_0_396, refute_0_397])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_399, plain,
% 10.35/10.52 (greater_equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(X_709,
% 10.35/10.52 add(X_710,
% 10.35/10.52 '==>'(X_710, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1))))],
% 10.35/10.52 [refute_0_338, refute_0_398])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_400, plain, (add(X_710, 0) = X_710),
% 10.35/10.52 inference(subst, [], [refute_0_10 : [bind(A, $fot(X_710))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_401, plain,
% 10.35/10.52 ('==>'(X_709, add(X_710, 0)) = '==>'(X_709, add(X_710, 0))),
% 10.35/10.52 introduced(tautology, [refl, [$fot('==>'(X_709, add(X_710, 0)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_402, plain,
% 10.35/10.52 (add(X_710, 0) != X_710 |
% 10.35/10.52 '==>'(X_709, add(X_710, 0)) != '==>'(X_709, add(X_710, 0)) |
% 10.35/10.52 '==>'(X_709, add(X_710, 0)) = '==>'(X_709, X_710)),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf($equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, add(X_710, 0)))), [1, 1],
% 10.35/10.52 $fot(X_710)]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_403, plain,
% 10.35/10.52 (add(X_710, 0) != X_710 |
% 10.35/10.52 '==>'(X_709, add(X_710, 0)) = '==>'(X_709, X_710)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, add(X_710, 0))))],
% 10.35/10.52 [refute_0_401, refute_0_402])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_404, plain,
% 10.35/10.52 ('==>'(X_709, add(X_710, 0)) = '==>'(X_709, X_710)),
% 10.35/10.52 inference(resolve, [$cnf($equal(add(X_710, 0), X_710))],
% 10.35/10.52 [refute_0_400, refute_0_403])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_405, plain,
% 10.35/10.52 ('==>'(X_709, add(X_710, 0)) != '==>'(X_709, X_710) |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1))) |
% 10.35/10.52 greater_equal('==>'(X_709, X_710),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1)))), [0],
% 10.35/10.52 $fot('==>'(X_709, X_710))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_406, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1))) |
% 10.35/10.52 greater_equal('==>'(X_709, X_710),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, X_710)))],
% 10.35/10.52 [refute_0_404, refute_0_405])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_407, plain,
% 10.35/10.52 (greater_equal('==>'(X_709, X_710),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(X_709, add(X_710, 0)),
% 10.35/10.52 '==>'(X_709, '==>'('==>'(X_710, 1), 1))))],
% 10.35/10.52 [refute_0_399, refute_0_406])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_408, plain,
% 10.35/10.52 (greater_equal('==>'(X_716, X_715),
% 10.35/10.52 '==>'(X_716, '==>'('==>'(X_715, 1), 1)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_407 :
% 10.35/10.52 [bind(X_709, $fot(X_716)), bind(X_710, $fot(X_715))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_409, plain,
% 10.35/10.52 ('==>'(X_716, X_715) = '==>'(X_716, '==>'('==>'(X_715, 1), 1))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(X_716, X_715),
% 10.35/10.52 '==>'(X_716, '==>'('==>'(X_715, 1), 1))))],
% 10.35/10.52 [refute_0_408, refute_0_337])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_410, plain,
% 10.35/10.52 ('==>'(X_716, X_715) != '==>'(X_716, '==>'('==>'(X_715, 1), 1)) |
% 10.35/10.52 '==>'(X_716, '==>'('==>'(X_715, 1), 1)) = '==>'(X_716, X_715)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_103 :
% 10.35/10.52 [bind(X, $fot('==>'(X_716, X_715))),
% 10.35/10.52 bind(Y, $fot('==>'(X_716, '==>'('==>'(X_715, 1), 1))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_411, plain,
% 10.35/10.52 ('==>'(X_716, '==>'('==>'(X_715, 1), 1)) = '==>'(X_716, X_715)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_716, X_715),
% 10.35/10.52 '==>'(X_716, '==>'('==>'(X_715, 1), 1))))],
% 10.35/10.52 [refute_0_409, refute_0_410])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_412, plain,
% 10.35/10.52 ('==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) =
% 10.35/10.52 '==>'(X_725, '==>'(X_725, 1))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_411 :
% 10.35/10.52 [bind(X_715, $fot('==>'(X_725, 1))),
% 10.35/10.52 bind(X_716, $fot(X_725))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_413, plain,
% 10.35/10.52 ('==>'(X_725, '==>'(X_725, 1)) != '==>'(X_725, 1) |
% 10.35/10.52 '==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) !=
% 10.35/10.52 '==>'(X_725, '==>'(X_725, 1)) |
% 10.35/10.52 '==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) = '==>'(X_725, 1)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_105 :
% 10.35/10.52 [bind(X,
% 10.35/10.52 $fot('==>'(X_725,
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1)))),
% 10.35/10.52 bind(Y, $fot('==>'(X_725, '==>'(X_725, 1)))),
% 10.35/10.52 bind(Z, $fot('==>'(X_725, 1)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_414, plain,
% 10.35/10.52 ('==>'(X_725, '==>'(X_725, 1)) != '==>'(X_725, 1) |
% 10.35/10.52 '==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) = '==>'(X_725, 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_725,
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.52 '==>'(X_725, '==>'(X_725, 1))))],
% 10.35/10.52 [refute_0_412, refute_0_413])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_415, plain,
% 10.35/10.52 ('==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) = '==>'(X_725, 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_725, '==>'(X_725, 1)),
% 10.35/10.52 '==>'(X_725, 1)))], [refute_0_317, refute_0_414])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_416, plain,
% 10.35/10.52 ('==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) != '==>'(X_725, 1) |
% 10.35/10.52 '==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) !=
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1) |
% 10.35/10.52 '==>'(X_725, 1) = '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf($equal('==>'(X_725,
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1))), [0],
% 10.35/10.52 $fot('==>'(X_725, 1))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_417, plain,
% 10.35/10.52 ('==>'(X_725, '==>'('==>'('==>'(X_725, 1), 1), 1)) !=
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1) |
% 10.35/10.52 '==>'(X_725, 1) = '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_725,
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.52 '==>'(X_725, 1)))], [refute_0_415, refute_0_416])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_418, plain,
% 10.35/10.52 ('==>'(X_725, 1) = '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_725,
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1)),
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1)))],
% 10.35/10.52 [refute_0_304, refute_0_417])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_419, plain,
% 10.35/10.52 ('==>'(X_725, 1) != '==>'('==>'('==>'(X_725, 1), 1), 1) |
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1) = '==>'(X_725, 1)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_103 :
% 10.35/10.52 [bind(X, $fot('==>'(X_725, 1))),
% 10.35/10.52 bind(Y, $fot('==>'('==>'('==>'(X_725, 1), 1), 1)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_420, plain,
% 10.35/10.52 ('==>'('==>'('==>'(X_725, 1), 1), 1) = '==>'(X_725, 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_725, 1),
% 10.35/10.52 '==>'('==>'('==>'(X_725, 1), 1), 1)))],
% 10.35/10.52 [refute_0_418, refute_0_419])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_421, plain,
% 10.35/10.52 ('==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1) =
% 10.35/10.52 '==>'('==>'(X_724, 1), 1)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_420 : [bind(X_725, $fot('==>'(X_724, 1)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_422, plain,
% 10.35/10.52 (X_724 != '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1) |
% 10.35/10.52 '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1) !=
% 10.35/10.52 '==>'('==>'(X_724, 1), 1) | X_724 = '==>'('==>'(X_724, 1), 1)),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(~ $equal(X_724, '==>'('==>'(X_724, 1), 1))), [0],
% 10.35/10.52 $fot('==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_423, plain,
% 10.35/10.52 (X_724 != '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1) |
% 10.35/10.52 X_724 = '==>'('==>'(X_724, 1), 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1),
% 10.35/10.52 '==>'('==>'(X_724, 1), 1)))],
% 10.35/10.52 [refute_0_421, refute_0_422])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_424, plain, (X_724 = '==>'('==>'(X_724, 1), 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal(X_724,
% 10.35/10.52 '==>'('==>'('==>'('==>'(X_724, 1), 1), 1), 1)))],
% 10.35/10.52 [refute_0_297, refute_0_423])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_425, plain, (X_1075 = '==>'('==>'(X_1075, 1), 1)),
% 10.35/10.52 inference(subst, [], [refute_0_424 : [bind(X_724, $fot(X_1075))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_426, plain,
% 10.35/10.52 (X_1075 != '==>'('==>'(X_1075, 1), 1) |
% 10.35/10.52 '==>'('==>'(X_1075, 1), 1) = X_1075),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_103 :
% 10.35/10.52 [bind(X, $fot(X_1075)),
% 10.35/10.52 bind(Y, $fot('==>'('==>'(X_1075, 1), 1)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_427, plain, ('==>'('==>'(X_1075, 1), 1) = X_1075),
% 10.35/10.52 inference(resolve, [$cnf($equal(X_1075, '==>'('==>'(X_1075, 1), 1)))],
% 10.35/10.52 [refute_0_425, refute_0_426])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_428, plain,
% 10.35/10.52 ('==>'('==>'(X_1075, 1), 1) != X_1075 |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'('==>'(X_1075, X_1074), 1),
% 10.35/10.52 '==>'('==>'(X_1075, 1), 1)) |
% 10.35/10.52 greater_equal('==>'('==>'(X_1075, X_1074), 1), X_1075)),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal('==>'('==>'(X_1075, X_1074), 1),
% 10.35/10.52 '==>'('==>'(X_1075, 1), 1))), [1],
% 10.35/10.52 $fot(X_1075)]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_429, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'('==>'(X_1075, X_1074), 1),
% 10.35/10.52 '==>'('==>'(X_1075, 1), 1)) |
% 10.35/10.52 greater_equal('==>'('==>'(X_1075, X_1074), 1), X_1075)),
% 10.35/10.52 inference(resolve, [$cnf($equal('==>'('==>'(X_1075, 1), 1), X_1075))],
% 10.35/10.52 [refute_0_427, refute_0_428])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_430, plain,
% 10.35/10.52 (greater_equal('==>'('==>'(X_1075, X_1074), 1), X_1075)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'('==>'(X_1075, X_1074), 1),
% 10.35/10.52 '==>'('==>'(X_1075, 1), 1)))],
% 10.35/10.52 [refute_0_36, refute_0_429])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_431, plain,
% 10.35/10.52 (greater_equal('==>'('==>'(add('==>'(X_1080, 1), X_929), X_1080), 1),
% 10.35/10.52 add('==>'(X_1080, 1), X_929))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_430 :
% 10.35/10.52 [bind(X_1074, $fot(X_1080)),
% 10.35/10.52 bind(X_1075, $fot(add('==>'(X_1080, 1), X_929)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_432, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(X_929, X_930),
% 10.35/10.52 '==>'(add('==>'(X_930, 1), X_929), X_930)) |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'(add('==>'(X_930, 1), X_929), X_930),
% 10.35/10.52 '==>'(X_929, X_930)) |
% 10.35/10.52 '==>'(X_929, X_930) = '==>'(add('==>'(X_930, 1), X_929), X_930)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_1 :
% 10.35/10.52 [bind(X3, $fot('==>'(X_929, X_930))),
% 10.35/10.52 bind(X4,
% 10.35/10.52 $fot('==>'(add('==>'(X_930, 1), X_929), X_930)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_433, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal(add(X_273, '==>'(add(X_274, X_273), X_275)),
% 10.35/10.52 '==>'(X_274, X_275)) |
% 10.35/10.52 greater_equal('==>'(add(X_274, X_273), X_275),
% 10.35/10.52 '==>'(X_273, '==>'(X_274, X_275)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_84 :
% 10.35/10.52 [bind(X5, $fot(X_273)),
% 10.35/10.52 bind(X6, $fot('==>'(add(X_274, X_273), X_275))),
% 10.35/10.52 bind(X7, $fot('==>'(X_274, X_275)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_434, plain,
% 10.35/10.52 (greater_equal(add(add(A, B), '==>'(add(A, B), X_88)), X_88)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_43 :
% 10.35/10.52 [bind(X_84, $fot(add(A, B))), bind(X_86, $fot(X_88))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_435, plain,
% 10.35/10.52 (add(add(A, B), '==>'(add(A, B), X_88)) =
% 10.35/10.52 add(A, add(B, '==>'(add(A, B), X_88)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_215 : [bind(C, $fot('==>'(add(A, B), X_88)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_436, plain,
% 10.35/10.52 (add(add(A, B), '==>'(add(A, B), X_88)) !=
% 10.35/10.52 add(A, add(B, '==>'(add(A, B), X_88))) |
% 10.35/10.52 ~ greater_equal(add(add(A, B), '==>'(add(A, B), X_88)), X_88) |
% 10.35/10.52 greater_equal(add(A, add(B, '==>'(add(A, B), X_88))), X_88)),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal(add(add(A, B), '==>'(add(A, B), X_88)),
% 10.35/10.52 X_88)), [0],
% 10.35/10.52 $fot(add(A, add(B, '==>'(add(A, B), X_88))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_437, plain,
% 10.35/10.52 (~ greater_equal(add(add(A, B), '==>'(add(A, B), X_88)), X_88) |
% 10.35/10.52 greater_equal(add(A, add(B, '==>'(add(A, B), X_88))), X_88)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal(add(add(A, B), '==>'(add(A, B), X_88)),
% 10.35/10.52 add(A, add(B, '==>'(add(A, B), X_88)))))],
% 10.35/10.52 [refute_0_435, refute_0_436])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_438, plain,
% 10.35/10.52 (greater_equal(add(A, add(B, '==>'(add(A, B), X_88))), X_88)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(add(A, B), '==>'(add(A, B), X_88)),
% 10.35/10.52 X_88))], [refute_0_434, refute_0_437])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_439, plain,
% 10.35/10.52 (greater_equal(add(X_148, add(B, '==>'(add(X_148, B), X_150))),
% 10.35/10.52 X_150)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_438 :
% 10.35/10.52 [bind(A, $fot(X_148)), bind(X_88, $fot(X_150))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_440, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal(add(X_148, add(B, '==>'(add(X_148, B), X_150))),
% 10.35/10.52 X_150) |
% 10.35/10.52 greater_equal(add(B, '==>'(add(X_148, B), X_150)),
% 10.35/10.52 '==>'(X_148, X_150))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_84 :
% 10.35/10.52 [bind(X5, $fot(X_148)),
% 10.35/10.52 bind(X6, $fot(add(B, '==>'(add(X_148, B), X_150)))),
% 10.35/10.52 bind(X7, $fot(X_150))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_441, plain,
% 10.35/10.52 (greater_equal(add(B, '==>'(add(X_148, B), X_150)),
% 10.35/10.52 '==>'(X_148, X_150))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(X_148,
% 10.35/10.52 add(B, '==>'(add(X_148, B), X_150))), X_150))],
% 10.35/10.52 [refute_0_439, refute_0_440])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_442, plain,
% 10.35/10.52 (greater_equal(add(X_273, '==>'(add(X_274, X_273), X_275)),
% 10.35/10.52 '==>'(X_274, X_275))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_441 :
% 10.35/10.52 [bind(B, $fot(X_273)), bind(X_148, $fot(X_274)),
% 10.35/10.52 bind(X_150, $fot(X_275))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_443, plain,
% 10.35/10.52 (greater_equal('==>'(add(X_274, X_273), X_275),
% 10.35/10.52 '==>'(X_273, '==>'(X_274, X_275)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(X_273,
% 10.35/10.52 '==>'(add(X_274, X_273), X_275)),
% 10.35/10.52 '==>'(X_274, X_275)))],
% 10.35/10.52 [refute_0_442, refute_0_433])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_444, plain,
% 10.35/10.52 (greater_equal('==>'(add('==>'(X_926, 1), X_924), X_926),
% 10.35/10.52 '==>'(X_924, '==>'('==>'(X_926, 1), X_926)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_443 :
% 10.35/10.52 [bind(X_273, $fot(X_924)),
% 10.35/10.52 bind(X_274, $fot('==>'(X_926, 1))),
% 10.35/10.52 bind(X_275, $fot(X_926))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_445, plain, ('==>'('==>'(X_926, 1), X_926) = X_926),
% 10.35/10.52 inference(subst, [], [refute_0_116 : [bind(X_404, $fot(X_926))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_446, plain,
% 10.35/10.52 ('==>'('==>'(X_926, 1), X_926) != X_926 |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'(add('==>'(X_926, 1), X_924), X_926),
% 10.35/10.52 '==>'(X_924, '==>'('==>'(X_926, 1), X_926))) |
% 10.35/10.52 greater_equal('==>'(add('==>'(X_926, 1), X_924), X_926),
% 10.35/10.52 '==>'(X_924, X_926))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal('==>'(add('==>'(X_926, 1), X_924),
% 10.35/10.52 X_926),
% 10.35/10.52 '==>'(X_924, '==>'('==>'(X_926, 1), X_926)))),
% 10.35/10.52 [1, 1], $fot(X_926)]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_447, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(add('==>'(X_926, 1), X_924), X_926),
% 10.35/10.52 '==>'(X_924, '==>'('==>'(X_926, 1), X_926))) |
% 10.35/10.52 greater_equal('==>'(add('==>'(X_926, 1), X_924), X_926),
% 10.35/10.52 '==>'(X_924, X_926))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'('==>'(X_926, 1), X_926), X_926))],
% 10.35/10.52 [refute_0_445, refute_0_446])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_448, plain,
% 10.35/10.52 (greater_equal('==>'(add('==>'(X_926, 1), X_924), X_926),
% 10.35/10.52 '==>'(X_924, X_926))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(add('==>'(X_926, 1), X_924),
% 10.35/10.52 X_926),
% 10.35/10.52 '==>'(X_924, '==>'('==>'(X_926, 1), X_926))))],
% 10.35/10.52 [refute_0_444, refute_0_447])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_449, plain,
% 10.35/10.52 (greater_equal('==>'(add('==>'(X_930, 1), X_929), X_930),
% 10.35/10.52 '==>'(X_929, X_930))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_448 :
% 10.35/10.52 [bind(X_924, $fot(X_929)), bind(X_926, $fot(X_930))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_450, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(X_929, X_930),
% 10.35/10.52 '==>'(add('==>'(X_930, 1), X_929), X_930)) |
% 10.35/10.52 '==>'(X_929, X_930) = '==>'(add('==>'(X_930, 1), X_929), X_930)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(add('==>'(X_930, 1), X_929),
% 10.35/10.52 X_930), '==>'(X_929, X_930)))],
% 10.35/10.52 [refute_0_449, refute_0_432])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_451, plain, (greater_equal(add(X_22, X_277), X_277)),
% 10.35/10.52 inference(subst, [], [refute_0_19 : [bind(X_21, $fot(X_277))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_452, plain,
% 10.35/10.52 (~ greater_equal(add(X_22, X_277), X_277) |
% 10.35/10.52 greater_equal('==>'(X_277, X_278), '==>'(add(X_22, X_277), X_278))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_3 :
% 10.35/10.52 [bind(X11, $fot(add(X_22, X_277))), bind(X12, $fot(X_277)),
% 10.35/10.52 bind(X13, $fot(X_278))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_453, plain,
% 10.35/10.52 (greater_equal('==>'(X_277, X_278), '==>'(add(X_22, X_277), X_278))),
% 10.35/10.52 inference(resolve, [$cnf(greater_equal(add(X_22, X_277), X_277))],
% 10.35/10.52 [refute_0_451, refute_0_452])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_454, plain,
% 10.35/10.52 (greater_equal('==>'(X_929, X_930),
% 10.35/10.52 '==>'(add('==>'(X_930, 1), X_929), X_930))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_453 :
% 10.35/10.52 [bind(X_22, $fot('==>'(X_930, 1))),
% 10.35/10.52 bind(X_277, $fot(X_929)), bind(X_278, $fot(X_930))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_455, plain,
% 10.35/10.52 ('==>'(X_929, X_930) = '==>'(add('==>'(X_930, 1), X_929), X_930)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(X_929, X_930),
% 10.35/10.52 '==>'(add('==>'(X_930, 1), X_929), X_930)))],
% 10.35/10.52 [refute_0_454, refute_0_450])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_456, plain,
% 10.35/10.52 ('==>'(X_929, X_1080) = '==>'(add('==>'(X_1080, 1), X_929), X_1080)),
% 10.35/10.52 inference(subst, [], [refute_0_455 : [bind(X_930, $fot(X_1080))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_457, plain,
% 10.35/10.52 ('==>'(X_929, X_1080) != '==>'(add('==>'(X_1080, 1), X_929), X_1080) |
% 10.35/10.52 '==>'(add('==>'(X_1080, 1), X_929), X_1080) = '==>'(X_929, X_1080)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_103 :
% 10.35/10.52 [bind(X, $fot('==>'(X_929, X_1080))),
% 10.35/10.52 bind(Y,
% 10.35/10.52 $fot('==>'(add('==>'(X_1080, 1), X_929),
% 10.35/10.52 X_1080)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_458, plain,
% 10.35/10.52 ('==>'(add('==>'(X_1080, 1), X_929), X_1080) = '==>'(X_929, X_1080)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_929, X_1080),
% 10.35/10.52 '==>'(add('==>'(X_1080, 1), X_929), X_1080)))],
% 10.35/10.52 [refute_0_456, refute_0_457])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_459, plain,
% 10.35/10.52 ('==>'(add('==>'(X_1080, 1), X_929), X_1080) != '==>'(X_929, X_1080) |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'('==>'(add('==>'(X_1080, 1), X_929), X_1080), 1),
% 10.35/10.52 add('==>'(X_1080, 1), X_929)) |
% 10.35/10.52 greater_equal('==>'('==>'(X_929, X_1080), 1),
% 10.35/10.52 add('==>'(X_1080, 1), X_929))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal('==>'('==>'(add('==>'(X_1080, 1),
% 10.35/10.52 X_929), X_1080), 1),
% 10.35/10.52 add('==>'(X_1080, 1), X_929))), [0, 0],
% 10.35/10.52 $fot('==>'(X_929, X_1080))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_460, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'('==>'(add('==>'(X_1080, 1), X_929), X_1080), 1),
% 10.35/10.52 add('==>'(X_1080, 1), X_929)) |
% 10.35/10.52 greater_equal('==>'('==>'(X_929, X_1080), 1),
% 10.35/10.52 add('==>'(X_1080, 1), X_929))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(add('==>'(X_1080, 1), X_929), X_1080),
% 10.35/10.52 '==>'(X_929, X_1080)))],
% 10.35/10.52 [refute_0_458, refute_0_459])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_461, plain,
% 10.35/10.52 (greater_equal('==>'('==>'(X_929, X_1080), 1),
% 10.35/10.52 add('==>'(X_1080, 1), X_929))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'('==>'(add('==>'(X_1080, 1), X_929),
% 10.35/10.52 X_1080), 1), add('==>'(X_1080, 1), X_929)))],
% 10.35/10.52 [refute_0_431, refute_0_460])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_462, plain,
% 10.35/10.52 (greater_equal('==>'('==>'(X_1083, X_1082), 1),
% 10.35/10.52 add('==>'(X_1082, 1), X_1083))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_461 :
% 10.35/10.52 [bind(X_1080, $fot(X_1082)), bind(X_929, $fot(X_1083))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_463, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal(add('==>'(X_1082, 1), X_1083),
% 10.35/10.52 '==>'('==>'(X_1083, X_1082), 1)) |
% 10.35/10.52 add('==>'(X_1082, 1), X_1083) = '==>'('==>'(X_1083, X_1082), 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'('==>'(X_1083, X_1082), 1),
% 10.35/10.52 add('==>'(X_1082, 1), X_1083)))],
% 10.35/10.52 [refute_0_462, refute_0_2])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_464, plain,
% 10.35/10.52 (greater_equal(add(0, add(X_39, X_40)), add(X_40, X_39))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_355 :
% 10.35/10.52 [bind(X_10, $fot(X_39)), bind(X_11, $fot(X_40)),
% 10.35/10.52 bind(X_25, $fot(0))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_465, plain, (add(0, add(X_39, X_40)) = add(X_39, X_40)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_15 : [bind(A, $fot(add(X_39, X_40)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_466, plain,
% 10.35/10.52 (add(0, add(X_39, X_40)) != add(X_39, X_40) |
% 10.35/10.52 ~ greater_equal(add(0, add(X_39, X_40)), add(X_40, X_39)) |
% 10.35/10.52 greater_equal(add(X_39, X_40), add(X_40, X_39))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal(add(0, add(X_39, X_40)),
% 10.35/10.52 add(X_40, X_39))), [0], $fot(add(X_39, X_40))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_467, plain,
% 10.35/10.52 (~ greater_equal(add(0, add(X_39, X_40)), add(X_40, X_39)) |
% 10.35/10.52 greater_equal(add(X_39, X_40), add(X_40, X_39))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal(add(0, add(X_39, X_40)), add(X_39, X_40)))],
% 10.35/10.52 [refute_0_465, refute_0_466])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_468, plain, (greater_equal(add(X_39, X_40), add(X_40, X_39))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(0, add(X_39, X_40)),
% 10.35/10.52 add(X_40, X_39)))], [refute_0_464, refute_0_467])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_469, plain,
% 10.35/10.52 (greater_equal(add(X_148, X_149), add(X_149, X_148))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_468 :
% 10.35/10.52 [bind(X_39, $fot(X_148)), bind(X_40, $fot(X_149))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_470, plain,
% 10.35/10.52 (~ greater_equal(add(X_148, X_149), add(X_149, X_148)) |
% 10.35/10.52 greater_equal(X_149, '==>'(X_148, add(X_149, X_148)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_84 :
% 10.35/10.52 [bind(X5, $fot(X_148)), bind(X6, $fot(X_149)),
% 10.35/10.52 bind(X7, $fot(add(X_149, X_148)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_471, plain,
% 10.35/10.52 (greater_equal(X_149, '==>'(X_148, add(X_149, X_148)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(X_148, X_149), add(X_149, X_148)))],
% 10.35/10.52 [refute_0_469, refute_0_470])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_472, plain,
% 10.35/10.52 (greater_equal(add(A, B), '==>'(X_183, add(add(A, B), X_183)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_471 :
% 10.35/10.52 [bind(X_148, $fot(X_183)), bind(X_149, $fot(add(A, B)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_473, plain, (add(add(A, B), X_183) = add(A, add(B, X_183))),
% 10.35/10.52 inference(subst, [], [refute_0_215 : [bind(C, $fot(X_183))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_474, plain,
% 10.35/10.52 (add(add(A, B), X_183) != add(A, add(B, X_183)) |
% 10.35/10.52 ~ greater_equal(add(A, B), '==>'(X_183, add(add(A, B), X_183))) |
% 10.35/10.52 greater_equal(add(A, B), '==>'(X_183, add(A, add(B, X_183))))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal(add(A, B),
% 10.35/10.52 '==>'(X_183, add(add(A, B), X_183)))), [1, 1],
% 10.35/10.52 $fot(add(A, add(B, X_183)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_475, plain,
% 10.35/10.52 (~ greater_equal(add(A, B), '==>'(X_183, add(add(A, B), X_183))) |
% 10.35/10.52 greater_equal(add(A, B), '==>'(X_183, add(A, add(B, X_183))))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal(add(add(A, B), X_183), add(A, add(B, X_183))))],
% 10.35/10.52 [refute_0_473, refute_0_474])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_476, plain,
% 10.35/10.52 (greater_equal(add(A, B), '==>'(X_183, add(A, add(B, X_183))))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(A, B),
% 10.35/10.52 '==>'(X_183, add(add(A, B), X_183))))],
% 10.35/10.52 [refute_0_472, refute_0_475])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_477, plain,
% 10.35/10.52 (greater_equal(add(X_565, X_566),
% 10.35/10.52 '==>'('==>'(X_566, '==>'(X_565, 1)),
% 10.35/10.52 add(X_565, add(X_566, '==>'(X_566, '==>'(X_565, 1))))))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_476 :
% 10.35/10.52 [bind(A, $fot(X_565)), bind(B, $fot(X_566)),
% 10.35/10.52 bind(X_183, $fot('==>'(X_566, '==>'(X_565, 1))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_478, plain,
% 10.35/10.52 (1 = add(X_565, add(X_566, '==>'(X_566, '==>'(X_565, 1))))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_238 :
% 10.35/10.52 [bind(X_476, $fot(X_565)), bind(X_478, $fot(X_566))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_479, plain,
% 10.35/10.52 (1 != add(X_565, add(X_566, '==>'(X_566, '==>'(X_565, 1)))) |
% 10.35/10.52 add(X_565, add(X_566, '==>'(X_566, '==>'(X_565, 1)))) = 1),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_103 :
% 10.35/10.52 [bind(X, $fot(1)),
% 10.35/10.52 bind(Y,
% 10.35/10.52 $fot(add(X_565,
% 10.35/10.52 add(X_566,
% 10.35/10.52 '==>'(X_566, '==>'(X_565, 1))))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_480, plain,
% 10.35/10.52 (add(X_565, add(X_566, '==>'(X_566, '==>'(X_565, 1)))) = 1),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal(1,
% 10.35/10.52 add(X_565,
% 10.35/10.52 add(X_566, '==>'(X_566, '==>'(X_565, 1))))))],
% 10.35/10.52 [refute_0_478, refute_0_479])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_481, plain,
% 10.35/10.52 (add(X_565, add(X_566, '==>'(X_566, '==>'(X_565, 1)))) != 1 |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal(add(X_565, X_566),
% 10.35/10.52 '==>'('==>'(X_566, '==>'(X_565, 1)),
% 10.35/10.52 add(X_565, add(X_566, '==>'(X_566, '==>'(X_565, 1)))))) |
% 10.35/10.52 greater_equal(add(X_565, X_566),
% 10.35/10.52 '==>'('==>'(X_566, '==>'(X_565, 1)), 1))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal(add(X_565, X_566),
% 10.35/10.52 '==>'('==>'(X_566, '==>'(X_565, 1)),
% 10.35/10.52 add(X_565,
% 10.35/10.52 add(X_566, '==>'(X_566, '==>'(X_565, 1))))))),
% 10.35/10.52 [1, 1], $fot(1)]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_482, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal(add(X_565, X_566),
% 10.35/10.52 '==>'('==>'(X_566, '==>'(X_565, 1)),
% 10.35/10.52 add(X_565, add(X_566, '==>'(X_566, '==>'(X_565, 1)))))) |
% 10.35/10.52 greater_equal(add(X_565, X_566),
% 10.35/10.52 '==>'('==>'(X_566, '==>'(X_565, 1)), 1))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal(add(X_565,
% 10.35/10.52 add(X_566, '==>'(X_566, '==>'(X_565, 1)))), 1))],
% 10.35/10.52 [refute_0_480, refute_0_481])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_483, plain,
% 10.35/10.52 (greater_equal(add(X_565, X_566),
% 10.35/10.52 '==>'('==>'(X_566, '==>'(X_565, 1)), 1))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(X_565, X_566),
% 10.35/10.52 '==>'('==>'(X_566, '==>'(X_565, 1)),
% 10.35/10.52 add(X_565,
% 10.35/10.52 add(X_566, '==>'(X_566, '==>'(X_565, 1)))))))],
% 10.35/10.52 [refute_0_477, refute_0_482])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_484, plain,
% 10.35/10.52 (greater_equal(add('==>'(X_724, 1), X_1021),
% 10.35/10.52 '==>'('==>'(X_1021, '==>'('==>'(X_724, 1), 1)), 1))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_483 :
% 10.35/10.52 [bind(X_565, $fot('==>'(X_724, 1))),
% 10.35/10.52 bind(X_566, $fot(X_1021))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_485, plain,
% 10.35/10.52 (X_724 != '==>'('==>'(X_724, 1), 1) |
% 10.35/10.52 '==>'('==>'(X_724, 1), 1) = X_724),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_103 :
% 10.35/10.52 [bind(X, $fot(X_724)),
% 10.35/10.52 bind(Y, $fot('==>'('==>'(X_724, 1), 1)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_486, plain, ('==>'('==>'(X_724, 1), 1) = X_724),
% 10.35/10.52 inference(resolve, [$cnf($equal(X_724, '==>'('==>'(X_724, 1), 1)))],
% 10.35/10.52 [refute_0_424, refute_0_485])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_487, plain,
% 10.35/10.52 ('==>'('==>'(X_724, 1), 1) != X_724 |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal(add('==>'(X_724, 1), X_1021),
% 10.35/10.52 '==>'('==>'(X_1021, '==>'('==>'(X_724, 1), 1)), 1)) |
% 10.35/10.52 greater_equal(add('==>'(X_724, 1), X_1021),
% 10.35/10.52 '==>'('==>'(X_1021, X_724), 1))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal(add('==>'(X_724, 1), X_1021),
% 10.35/10.52 '==>'('==>'(X_1021, '==>'('==>'(X_724, 1), 1)),
% 10.35/10.52 1))), [1, 0, 1], $fot(X_724)]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_488, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal(add('==>'(X_724, 1), X_1021),
% 10.35/10.52 '==>'('==>'(X_1021, '==>'('==>'(X_724, 1), 1)), 1)) |
% 10.35/10.52 greater_equal(add('==>'(X_724, 1), X_1021),
% 10.35/10.52 '==>'('==>'(X_1021, X_724), 1))),
% 10.35/10.52 inference(resolve, [$cnf($equal('==>'('==>'(X_724, 1), 1), X_724))],
% 10.35/10.52 [refute_0_486, refute_0_487])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_489, plain,
% 10.35/10.52 (greater_equal(add('==>'(X_724, 1), X_1021),
% 10.35/10.52 '==>'('==>'(X_1021, X_724), 1))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add('==>'(X_724, 1), X_1021),
% 10.35/10.52 '==>'('==>'(X_1021, '==>'('==>'(X_724, 1), 1)),
% 10.35/10.52 1)))], [refute_0_484, refute_0_488])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_490, plain,
% 10.35/10.52 (greater_equal(add('==>'(X_1082, 1), X_1083),
% 10.35/10.52 '==>'('==>'(X_1083, X_1082), 1))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_489 :
% 10.35/10.52 [bind(X_1021, $fot(X_1083)), bind(X_724, $fot(X_1082))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_491, plain,
% 10.35/10.52 (add('==>'(X_1082, 1), X_1083) = '==>'('==>'(X_1083, X_1082), 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add('==>'(X_1082, 1), X_1083),
% 10.35/10.52 '==>'('==>'(X_1083, X_1082), 1)))],
% 10.35/10.52 [refute_0_490, refute_0_463])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_492, plain,
% 10.35/10.52 (add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) =
% 10.35/10.52 '==>'('==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1))), 1)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_491 :
% 10.35/10.52 [bind(X_1082, $fot('==>'(X_935, '==>'(X_1085, 1)))),
% 10.35/10.52 bind(X_1083, $fot(X_1085))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_493, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(X_935, '==>'(X_936, 1)),
% 10.35/10.52 '==>'(add(X_936, X_935), '==>'(X_936, 1))) |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'(add(X_936, X_935), '==>'(X_936, 1)),
% 10.35/10.52 '==>'(X_935, '==>'(X_936, 1))) |
% 10.35/10.52 '==>'(X_935, '==>'(X_936, 1)) =
% 10.35/10.52 '==>'(add(X_936, X_935), '==>'(X_936, 1))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_1 :
% 10.35/10.52 [bind(X3, $fot('==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.52 bind(X4,
% 10.35/10.52 $fot('==>'(add(X_936, X_935), '==>'(X_936, 1))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_494, plain,
% 10.35/10.52 (greater_equal('==>'(add(X_925, X_924), '==>'(X_925, 1)),
% 10.35/10.52 '==>'(X_924, '==>'(X_925, '==>'(X_925, 1))))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_443 :
% 10.35/10.52 [bind(X_273, $fot(X_924)), bind(X_274, $fot(X_925)),
% 10.35/10.52 bind(X_275, $fot('==>'(X_925, 1)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_495, plain, ('==>'(X_925, 1) = '==>'(X_925, '==>'(X_925, 1))),
% 10.35/10.52 inference(subst, [], [refute_0_314 : [bind(X_468, $fot(X_925))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_496, plain,
% 10.35/10.52 ('==>'(X_925, 1) != '==>'(X_925, '==>'(X_925, 1)) |
% 10.35/10.52 '==>'(X_925, '==>'(X_925, 1)) = '==>'(X_925, 1)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_103 :
% 10.35/10.52 [bind(X, $fot('==>'(X_925, 1))),
% 10.35/10.52 bind(Y, $fot('==>'(X_925, '==>'(X_925, 1))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_497, plain, ('==>'(X_925, '==>'(X_925, 1)) = '==>'(X_925, 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_925, 1),
% 10.35/10.52 '==>'(X_925, '==>'(X_925, 1))))],
% 10.35/10.52 [refute_0_495, refute_0_496])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_498, plain,
% 10.35/10.52 ('==>'(X_925, '==>'(X_925, 1)) != '==>'(X_925, 1) |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'(add(X_925, X_924), '==>'(X_925, 1)),
% 10.35/10.52 '==>'(X_924, '==>'(X_925, '==>'(X_925, 1)))) |
% 10.35/10.52 greater_equal('==>'(add(X_925, X_924), '==>'(X_925, 1)),
% 10.35/10.52 '==>'(X_924, '==>'(X_925, 1)))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal('==>'(add(X_925, X_924),
% 10.35/10.52 '==>'(X_925, 1)),
% 10.35/10.52 '==>'(X_924, '==>'(X_925, '==>'(X_925, 1))))),
% 10.35/10.52 [1, 1], $fot('==>'(X_925, 1))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_499, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(add(X_925, X_924), '==>'(X_925, 1)),
% 10.35/10.52 '==>'(X_924, '==>'(X_925, '==>'(X_925, 1)))) |
% 10.35/10.52 greater_equal('==>'(add(X_925, X_924), '==>'(X_925, 1)),
% 10.35/10.52 '==>'(X_924, '==>'(X_925, 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal('==>'(X_925, '==>'(X_925, 1)),
% 10.35/10.52 '==>'(X_925, 1)))], [refute_0_497, refute_0_498])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_500, plain,
% 10.35/10.52 (greater_equal('==>'(add(X_925, X_924), '==>'(X_925, 1)),
% 10.35/10.52 '==>'(X_924, '==>'(X_925, 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(add(X_925, X_924),
% 10.35/10.52 '==>'(X_925, 1)),
% 10.35/10.52 '==>'(X_924, '==>'(X_925, '==>'(X_925, 1)))))],
% 10.35/10.52 [refute_0_494, refute_0_499])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_501, plain,
% 10.35/10.52 (greater_equal('==>'(add(X_936, X_935), '==>'(X_936, 1)),
% 10.35/10.52 '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_500 :
% 10.35/10.52 [bind(X_924, $fot(X_935)), bind(X_925, $fot(X_936))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_502, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(X_935, '==>'(X_936, 1)),
% 10.35/10.52 '==>'(add(X_936, X_935), '==>'(X_936, 1))) |
% 10.35/10.52 '==>'(X_935, '==>'(X_936, 1)) =
% 10.35/10.52 '==>'(add(X_936, X_935), '==>'(X_936, 1))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(add(X_936, X_935),
% 10.35/10.52 '==>'(X_936, 1)), '==>'(X_935, '==>'(X_936, 1))))],
% 10.35/10.52 [refute_0_501, refute_0_493])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_503, plain,
% 10.35/10.52 (greater_equal('==>'(X_935, '==>'(X_936, 1)),
% 10.35/10.52 '==>'(add(X_936, X_935), '==>'(X_936, 1)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_453 :
% 10.35/10.52 [bind(X_22, $fot(X_936)), bind(X_277, $fot(X_935)),
% 10.35/10.52 bind(X_278, $fot('==>'(X_936, 1)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_504, plain,
% 10.35/10.52 ('==>'(X_935, '==>'(X_936, 1)) =
% 10.35/10.52 '==>'(add(X_936, X_935), '==>'(X_936, 1))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(X_935, '==>'(X_936, 1)),
% 10.35/10.52 '==>'(add(X_936, X_935), '==>'(X_936, 1))))],
% 10.35/10.52 [refute_0_503, refute_0_502])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_505, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(X_893, '==>'(X_894, 1)),
% 10.35/10.52 '==>'(add(X_894, X_893), 1)) |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'(add(X_894, X_893), 1),
% 10.35/10.52 '==>'(X_893, '==>'(X_894, 1))) |
% 10.35/10.52 '==>'(X_893, '==>'(X_894, 1)) = '==>'(add(X_894, X_893), 1)),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_1 :
% 10.35/10.52 [bind(X3, $fot('==>'(X_893, '==>'(X_894, 1)))),
% 10.35/10.52 bind(X4, $fot('==>'(add(X_894, X_893), 1)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_506, plain,
% 10.35/10.52 (~ greater_equal(add(X5, X6), '==>'(X_173, add(X_173, add(X5, X6)))) |
% 10.35/10.52 greater_equal(X6, '==>'(X5, '==>'(X_173, add(X_173, add(X5, X6)))))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_84 :
% 10.35/10.52 [bind(X7, $fot('==>'(X_173, add(X_173, add(X5, X6)))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_507, plain,
% 10.35/10.52 (greater_equal(add(X_148, X_149), add(X_148, X_149))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_40 : [bind(A, $fot(add(X_148, X_149)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_508, plain,
% 10.35/10.52 (~ greater_equal(add(X_148, X_149), add(X_148, X_149)) |
% 10.35/10.52 greater_equal(X_149, '==>'(X_148, add(X_148, X_149)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_84 :
% 10.35/10.52 [bind(X5, $fot(X_148)), bind(X6, $fot(X_149)),
% 10.35/10.52 bind(X7, $fot(add(X_148, X_149)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_509, plain,
% 10.35/10.52 (greater_equal(X_149, '==>'(X_148, add(X_148, X_149)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(X_148, X_149), add(X_148, X_149)))],
% 10.35/10.52 [refute_0_507, refute_0_508])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_510, plain,
% 10.35/10.52 (greater_equal(add(X5, X6), '==>'(X_173, add(X_173, add(X5, X6))))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_509 :
% 10.35/10.52 [bind(X_148, $fot(X_173)),
% 10.35/10.52 bind(X_149, $fot(add(X5, X6)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_511, plain,
% 10.35/10.52 (greater_equal(X6, '==>'(X5, '==>'(X_173, add(X_173, add(X5, X6)))))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(X5, X6),
% 10.35/10.52 '==>'(X_173, add(X_173, add(X5, X6)))))],
% 10.35/10.52 [refute_0_510, refute_0_506])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_512, plain,
% 10.35/10.52 (greater_equal('==>'(add(X_892, X_890), 1),
% 10.35/10.52 '==>'(X_890,
% 10.35/10.52 '==>'(X_892,
% 10.35/10.52 add(X_892, add(X_890, '==>'(add(X_892, X_890), 1))))))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_511 :
% 10.35/10.52 [bind(X5, $fot(X_890)),
% 10.35/10.52 bind(X6, $fot('==>'(add(X_892, X_890), 1))),
% 10.35/10.52 bind(X_173, $fot(X_892))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_513, plain,
% 10.35/10.52 (greater_equal(add(A, add(B, '==>'(add(A, B), 1))), 1)),
% 10.35/10.52 inference(subst, [], [refute_0_438 : [bind(X_88, $fot(1))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_514, plain,
% 10.35/10.52 (~ greater_equal(add(A, add(B, '==>'(add(A, B), 1))), 1) |
% 10.35/10.52 1 = add(A, add(B, '==>'(add(A, B), 1)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_232 :
% 10.35/10.52 [bind(X_404, $fot(add(A, add(B, '==>'(add(A, B), 1)))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_515, plain, (1 = add(A, add(B, '==>'(add(A, B), 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(add(A, add(B, '==>'(add(A, B), 1))),
% 10.35/10.52 1))], [refute_0_513, refute_0_514])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_516, plain,
% 10.35/10.52 (1 = add(X_892, add(X_890, '==>'(add(X_892, X_890), 1)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_515 :
% 10.35/10.52 [bind(A, $fot(X_892)), bind(B, $fot(X_890))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_517, plain,
% 10.35/10.52 (1 != add(X_892, add(X_890, '==>'(add(X_892, X_890), 1))) |
% 10.35/10.52 add(X_892, add(X_890, '==>'(add(X_892, X_890), 1))) = 1),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_103 :
% 10.35/10.52 [bind(X, $fot(1)),
% 10.35/10.52 bind(Y,
% 10.35/10.52 $fot(add(X_892,
% 10.35/10.52 add(X_890, '==>'(add(X_892, X_890), 1)))))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_518, plain,
% 10.35/10.52 (add(X_892, add(X_890, '==>'(add(X_892, X_890), 1))) = 1),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal(1,
% 10.35/10.52 add(X_892,
% 10.35/10.52 add(X_890, '==>'(add(X_892, X_890), 1)))))],
% 10.35/10.52 [refute_0_516, refute_0_517])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_519, plain,
% 10.35/10.52 (add(X_892, add(X_890, '==>'(add(X_892, X_890), 1))) != 1 |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal('==>'(add(X_892, X_890), 1),
% 10.35/10.52 '==>'(X_890,
% 10.35/10.52 '==>'(X_892,
% 10.35/10.52 add(X_892, add(X_890, '==>'(add(X_892, X_890), 1)))))) |
% 10.35/10.52 greater_equal('==>'(add(X_892, X_890), 1),
% 10.35/10.52 '==>'(X_890, '==>'(X_892, 1)))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal('==>'(add(X_892, X_890), 1),
% 10.35/10.52 '==>'(X_890,
% 10.35/10.52 '==>'(X_892,
% 10.35/10.52 add(X_892,
% 10.35/10.52 add(X_890, '==>'(add(X_892, X_890), 1))))))),
% 10.35/10.52 [1, 1, 1], $fot(1)]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_520, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(add(X_892, X_890), 1),
% 10.35/10.52 '==>'(X_890,
% 10.35/10.52 '==>'(X_892,
% 10.35/10.52 add(X_892, add(X_890, '==>'(add(X_892, X_890), 1)))))) |
% 10.35/10.52 greater_equal('==>'(add(X_892, X_890), 1),
% 10.35/10.52 '==>'(X_890, '==>'(X_892, 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal(add(X_892,
% 10.35/10.52 add(X_890, '==>'(add(X_892, X_890), 1))), 1))],
% 10.35/10.52 [refute_0_518, refute_0_519])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_521, plain,
% 10.35/10.52 (greater_equal('==>'(add(X_892, X_890), 1),
% 10.35/10.52 '==>'(X_890, '==>'(X_892, 1)))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(add(X_892, X_890), 1),
% 10.35/10.52 '==>'(X_890,
% 10.35/10.52 '==>'(X_892,
% 10.35/10.52 add(X_892,
% 10.35/10.52 add(X_890, '==>'(add(X_892, X_890), 1)))))))],
% 10.35/10.52 [refute_0_512, refute_0_520])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_522, plain,
% 10.35/10.52 (greater_equal('==>'(add(X_894, X_893), 1),
% 10.35/10.52 '==>'(X_893, '==>'(X_894, 1)))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_521 :
% 10.35/10.52 [bind(X_890, $fot(X_893)), bind(X_892, $fot(X_894))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_523, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal('==>'(X_893, '==>'(X_894, 1)),
% 10.35/10.52 '==>'(add(X_894, X_893), 1)) |
% 10.35/10.52 '==>'(X_893, '==>'(X_894, 1)) = '==>'(add(X_894, X_893), 1)),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal('==>'(add(X_894, X_893), 1),
% 10.35/10.52 '==>'(X_893, '==>'(X_894, 1))))],
% 10.35/10.52 [refute_0_522, refute_0_505])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_524, plain,
% 10.35/10.52 (greater_equal(X_184,
% 10.35/10.52 '==>'(add(X_9, X_10), add(X_184, add(X_9, X_10))))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_471 :
% 10.35/10.52 [bind(X_148, $fot(add(X_9, X_10))),
% 10.35/10.52 bind(X_149, $fot(X_184))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_525, plain,
% 10.35/10.52 (add(X_184, add(X_9, X_10)) = add(X_9, add(X_10, X_184))),
% 10.35/10.52 inference(subst, [], [refute_0_219 : [bind(A, $fot(X_184))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_526, plain,
% 10.35/10.52 (add(X_184, add(X_9, X_10)) != add(X_9, add(X_10, X_184)) |
% 10.35/10.52 ~
% 10.35/10.52 greater_equal(X_184,
% 10.35/10.52 '==>'(add(X_9, X_10), add(X_184, add(X_9, X_10)))) |
% 10.35/10.52 greater_equal(X_184,
% 10.35/10.52 '==>'(add(X_9, X_10), add(X_9, add(X_10, X_184))))),
% 10.35/10.52 introduced(tautology,
% 10.35/10.52 [equality,
% 10.35/10.52 [$cnf(greater_equal(X_184,
% 10.35/10.52 '==>'(add(X_9, X_10),
% 10.35/10.52 add(X_184, add(X_9, X_10))))), [1, 1],
% 10.35/10.52 $fot(add(X_9, add(X_10, X_184)))]])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_527, plain,
% 10.35/10.52 (~
% 10.35/10.52 greater_equal(X_184,
% 10.35/10.52 '==>'(add(X_9, X_10), add(X_184, add(X_9, X_10)))) |
% 10.35/10.52 greater_equal(X_184,
% 10.35/10.52 '==>'(add(X_9, X_10), add(X_9, add(X_10, X_184))))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf($equal(add(X_184, add(X_9, X_10)),
% 10.35/10.52 add(X_9, add(X_10, X_184))))],
% 10.35/10.52 [refute_0_525, refute_0_526])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_528, plain,
% 10.35/10.52 (greater_equal(X_184,
% 10.35/10.52 '==>'(add(X_9, X_10), add(X_9, add(X_10, X_184))))),
% 10.35/10.52 inference(resolve,
% 10.35/10.52 [$cnf(greater_equal(X_184,
% 10.35/10.52 '==>'(add(X_9, X_10), add(X_184, add(X_9, X_10)))))],
% 10.35/10.52 [refute_0_524, refute_0_527])).
% 10.35/10.52
% 10.35/10.52 cnf(refute_0_529, plain,
% 10.35/10.52 (greater_equal('==>'(X_864, '==>'(X_866, 1)),
% 10.35/10.52 '==>'(add(X_866, X_864),
% 10.35/10.52 add(X_866, add(X_864, '==>'(X_864, '==>'(X_866, 1))))))),
% 10.35/10.52 inference(subst, [],
% 10.35/10.52 [refute_0_528 :
% 10.35/10.52 [bind(X_10, $fot(X_864)),
% 10.35/10.52 bind(X_184, $fot('==>'(X_864, '==>'(X_866, 1)))),
% 10.35/10.52 bind(X_9, $fot(X_866))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_530, plain,
% 10.35/10.53 (1 = add(X_866, add(X_864, '==>'(X_864, '==>'(X_866, 1))))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_238 :
% 10.35/10.53 [bind(X_476, $fot(X_866)), bind(X_478, $fot(X_864))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_531, plain,
% 10.35/10.53 (1 != add(X_866, add(X_864, '==>'(X_864, '==>'(X_866, 1)))) |
% 10.35/10.53 add(X_866, add(X_864, '==>'(X_864, '==>'(X_866, 1)))) = 1),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_103 :
% 10.35/10.53 [bind(X, $fot(1)),
% 10.35/10.53 bind(Y,
% 10.35/10.53 $fot(add(X_866,
% 10.35/10.53 add(X_864,
% 10.35/10.53 '==>'(X_864, '==>'(X_866, 1))))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_532, plain,
% 10.35/10.53 (add(X_866, add(X_864, '==>'(X_864, '==>'(X_866, 1)))) = 1),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(1,
% 10.35/10.53 add(X_866,
% 10.35/10.53 add(X_864, '==>'(X_864, '==>'(X_866, 1))))))],
% 10.35/10.53 [refute_0_530, refute_0_531])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_533, plain,
% 10.35/10.53 (add(X_866, add(X_864, '==>'(X_864, '==>'(X_866, 1)))) != 1 |
% 10.35/10.53 ~
% 10.35/10.53 greater_equal('==>'(X_864, '==>'(X_866, 1)),
% 10.35/10.53 '==>'(add(X_866, X_864),
% 10.35/10.53 add(X_866, add(X_864, '==>'(X_864, '==>'(X_866, 1)))))) |
% 10.35/10.53 greater_equal('==>'(X_864, '==>'(X_866, 1)),
% 10.35/10.53 '==>'(add(X_866, X_864), 1))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf(greater_equal('==>'(X_864, '==>'(X_866, 1)),
% 10.35/10.53 '==>'(add(X_866, X_864),
% 10.35/10.53 add(X_866,
% 10.35/10.53 add(X_864, '==>'(X_864, '==>'(X_866, 1))))))),
% 10.35/10.53 [1, 1], $fot(1)]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_534, plain,
% 10.35/10.53 (~
% 10.35/10.53 greater_equal('==>'(X_864, '==>'(X_866, 1)),
% 10.35/10.53 '==>'(add(X_866, X_864),
% 10.35/10.53 add(X_866, add(X_864, '==>'(X_864, '==>'(X_866, 1)))))) |
% 10.35/10.53 greater_equal('==>'(X_864, '==>'(X_866, 1)),
% 10.35/10.53 '==>'(add(X_866, X_864), 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(X_866,
% 10.35/10.53 add(X_864, '==>'(X_864, '==>'(X_866, 1)))), 1))],
% 10.35/10.53 [refute_0_532, refute_0_533])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_535, plain,
% 10.35/10.53 (greater_equal('==>'(X_864, '==>'(X_866, 1)),
% 10.35/10.53 '==>'(add(X_866, X_864), 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal('==>'(X_864, '==>'(X_866, 1)),
% 10.35/10.53 '==>'(add(X_866, X_864),
% 10.35/10.53 add(X_866,
% 10.35/10.53 add(X_864, '==>'(X_864, '==>'(X_866, 1)))))))],
% 10.35/10.53 [refute_0_529, refute_0_534])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_536, plain,
% 10.35/10.53 (greater_equal('==>'(X_893, '==>'(X_894, 1)),
% 10.35/10.53 '==>'(add(X_894, X_893), 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_535 :
% 10.35/10.53 [bind(X_864, $fot(X_893)), bind(X_866, $fot(X_894))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_537, plain,
% 10.35/10.53 ('==>'(X_893, '==>'(X_894, 1)) = '==>'(add(X_894, X_893), 1)),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal('==>'(X_893, '==>'(X_894, 1)),
% 10.35/10.53 '==>'(add(X_894, X_893), 1)))],
% 10.35/10.53 [refute_0_536, refute_0_523])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_538, plain,
% 10.35/10.53 ('==>'(X_893, '==>'(X_894, 1)) != '==>'(add(X_894, X_893), 1) |
% 10.35/10.53 '==>'(add(X_894, X_893), 1) = '==>'(X_893, '==>'(X_894, 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_103 :
% 10.35/10.53 [bind(X, $fot('==>'(X_893, '==>'(X_894, 1)))),
% 10.35/10.53 bind(Y, $fot('==>'(add(X_894, X_893), 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_539, plain,
% 10.35/10.53 ('==>'(add(X_894, X_893), 1) = '==>'(X_893, '==>'(X_894, 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(X_893, '==>'(X_894, 1)),
% 10.35/10.53 '==>'(add(X_894, X_893), 1)))],
% 10.35/10.53 [refute_0_537, refute_0_538])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_540, plain,
% 10.35/10.53 ('==>'(add(X_936, X_935), 1) = '==>'(X_935, '==>'(X_936, 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_539 :
% 10.35/10.53 [bind(X_893, $fot(X_935)), bind(X_894, $fot(X_936))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_541, plain,
% 10.35/10.53 ('==>'(X_936, '==>'(add(X_936, X_935), 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(add(X_936, X_935), 1))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [refl, [$fot('==>'(X_936, '==>'(add(X_936, X_935), 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_542, plain,
% 10.35/10.53 ('==>'(X_936, '==>'(add(X_936, X_935), 1)) !=
% 10.35/10.53 '==>'(X_936, '==>'(add(X_936, X_935), 1)) |
% 10.35/10.53 '==>'(add(X_936, X_935), 1) != '==>'(X_935, '==>'(X_936, 1)) |
% 10.35/10.53 '==>'(X_936, '==>'(add(X_936, X_935), 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal('==>'(X_936, '==>'(add(X_936, X_935), 1)),
% 10.35/10.53 '==>'(X_936, '==>'(add(X_936, X_935), 1)))),
% 10.35/10.53 [1, 1], $fot('==>'(X_935, '==>'(X_936, 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_543, plain,
% 10.35/10.53 ('==>'(add(X_936, X_935), 1) != '==>'(X_935, '==>'(X_936, 1)) |
% 10.35/10.53 '==>'(X_936, '==>'(add(X_936, X_935), 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(X_936, '==>'(add(X_936, X_935), 1)),
% 10.35/10.53 '==>'(X_936, '==>'(add(X_936, X_935), 1))))],
% 10.35/10.53 [refute_0_541, refute_0_542])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_544, plain,
% 10.35/10.53 ('==>'(X_936, '==>'(add(X_936, X_935), 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(add(X_936, X_935), 1),
% 10.35/10.53 '==>'(X_935, '==>'(X_936, 1))))],
% 10.35/10.53 [refute_0_540, refute_0_543])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_545, plain,
% 10.35/10.53 (~
% 10.35/10.53 greater_equal('==>'(X_1024, '==>'(X_1025, 1)),
% 10.35/10.53 '==>'(X_1025, '==>'(X_1024, 1))) |
% 10.35/10.53 ~
% 10.35/10.53 greater_equal('==>'(X_1025, '==>'(X_1024, 1)),
% 10.35/10.53 '==>'(X_1024, '==>'(X_1025, 1))) |
% 10.35/10.53 '==>'(X_1024, '==>'(X_1025, 1)) = '==>'(X_1025, '==>'(X_1024, 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_1 :
% 10.35/10.53 [bind(X3, $fot('==>'(X_1024, '==>'(X_1025, 1)))),
% 10.35/10.53 bind(X4, $fot('==>'(X_1025, '==>'(X_1024, 1))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_546, plain,
% 10.35/10.53 (greater_equal('==>'(X_892, '==>'(X_890, 1)),
% 10.35/10.53 '==>'(X_890,
% 10.35/10.53 '==>'(X_892,
% 10.35/10.53 add(X_892, add(X_890, '==>'(X_892, '==>'(X_890, 1)))))))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_511 :
% 10.35/10.53 [bind(X5, $fot(X_890)),
% 10.35/10.53 bind(X6, $fot('==>'(X_892, '==>'(X_890, 1)))),
% 10.35/10.53 bind(X_173, $fot(X_892))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_547, plain,
% 10.35/10.53 (add(X_10, add(X_9, '==>'(X_10, '==>'(X_9, 1)))) =
% 10.35/10.53 add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1))))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_260 :
% 10.35/10.53 [bind(X_11, $fot('==>'(X_10, '==>'(X_9, 1))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_548, plain,
% 10.35/10.53 (1 = add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1))))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_238 :
% 10.35/10.53 [bind(X_476, $fot(X_9)), bind(X_478, $fot(X_10))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_549, plain,
% 10.35/10.53 (1 != add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1)))) |
% 10.35/10.53 add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1)))) = 1),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_103 :
% 10.35/10.53 [bind(X, $fot(1)),
% 10.35/10.53 bind(Y,
% 10.35/10.53 $fot(add(X_9,
% 10.35/10.53 add(X_10, '==>'(X_10, '==>'(X_9, 1))))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_550, plain,
% 10.35/10.53 (add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1)))) = 1),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(1,
% 10.35/10.53 add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1))))))],
% 10.35/10.53 [refute_0_548, refute_0_549])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_551, plain,
% 10.35/10.53 (add(X_10, add(X_9, '==>'(X_10, '==>'(X_9, 1)))) !=
% 10.35/10.53 add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1)))) |
% 10.35/10.53 add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1)))) != 1 |
% 10.35/10.53 add(X_10, add(X_9, '==>'(X_10, '==>'(X_9, 1)))) = 1),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf(~ $equal(add(X_10,
% 10.35/10.53 add(X_9, '==>'(X_10, '==>'(X_9, 1)))), 1)), [0],
% 10.35/10.53 $fot(add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1)))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_552, plain,
% 10.35/10.53 (add(X_10, add(X_9, '==>'(X_10, '==>'(X_9, 1)))) !=
% 10.35/10.53 add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1)))) |
% 10.35/10.53 add(X_10, add(X_9, '==>'(X_10, '==>'(X_9, 1)))) = 1),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1)))),
% 10.35/10.53 1))], [refute_0_550, refute_0_551])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_553, plain,
% 10.35/10.53 (add(X_10, add(X_9, '==>'(X_10, '==>'(X_9, 1)))) = 1),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(X_10, add(X_9, '==>'(X_10, '==>'(X_9, 1)))),
% 10.35/10.53 add(X_9, add(X_10, '==>'(X_10, '==>'(X_9, 1))))))],
% 10.35/10.53 [refute_0_547, refute_0_552])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_554, plain,
% 10.35/10.53 (add(X_892, add(X_890, '==>'(X_892, '==>'(X_890, 1)))) = 1),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_553 :
% 10.35/10.53 [bind(X_10, $fot(X_892)), bind(X_9, $fot(X_890))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_555, plain,
% 10.35/10.53 (add(X_892, add(X_890, '==>'(X_892, '==>'(X_890, 1)))) != 1 |
% 10.35/10.53 ~
% 10.35/10.53 greater_equal('==>'(X_892, '==>'(X_890, 1)),
% 10.35/10.53 '==>'(X_890,
% 10.35/10.53 '==>'(X_892,
% 10.35/10.53 add(X_892, add(X_890, '==>'(X_892, '==>'(X_890, 1))))))) |
% 10.35/10.53 greater_equal('==>'(X_892, '==>'(X_890, 1)),
% 10.35/10.53 '==>'(X_890, '==>'(X_892, 1)))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf(greater_equal('==>'(X_892, '==>'(X_890, 1)),
% 10.35/10.53 '==>'(X_890,
% 10.35/10.53 '==>'(X_892,
% 10.35/10.53 add(X_892,
% 10.35/10.53 add(X_890,
% 10.35/10.53 '==>'(X_892, '==>'(X_890, 1)))))))),
% 10.35/10.53 [1, 1, 1], $fot(1)]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_556, plain,
% 10.35/10.53 (~
% 10.35/10.53 greater_equal('==>'(X_892, '==>'(X_890, 1)),
% 10.35/10.53 '==>'(X_890,
% 10.35/10.53 '==>'(X_892,
% 10.35/10.53 add(X_892, add(X_890, '==>'(X_892, '==>'(X_890, 1))))))) |
% 10.35/10.53 greater_equal('==>'(X_892, '==>'(X_890, 1)),
% 10.35/10.53 '==>'(X_890, '==>'(X_892, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(X_892,
% 10.35/10.53 add(X_890, '==>'(X_892, '==>'(X_890, 1)))), 1))],
% 10.35/10.53 [refute_0_554, refute_0_555])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_557, plain,
% 10.35/10.53 (greater_equal('==>'(X_892, '==>'(X_890, 1)),
% 10.35/10.53 '==>'(X_890, '==>'(X_892, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal('==>'(X_892, '==>'(X_890, 1)),
% 10.35/10.53 '==>'(X_890,
% 10.35/10.53 '==>'(X_892,
% 10.35/10.53 add(X_892,
% 10.35/10.53 add(X_890,
% 10.35/10.53 '==>'(X_892, '==>'(X_890, 1))))))))],
% 10.35/10.53 [refute_0_546, refute_0_556])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_558, plain,
% 10.35/10.53 (greater_equal('==>'(X_1025, '==>'(X_1024, 1)),
% 10.35/10.53 '==>'(X_1024, '==>'(X_1025, 1)))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_557 :
% 10.35/10.53 [bind(X_890, $fot(X_1024)), bind(X_892, $fot(X_1025))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_559, plain,
% 10.35/10.53 (~
% 10.35/10.53 greater_equal('==>'(X_1024, '==>'(X_1025, 1)),
% 10.35/10.53 '==>'(X_1025, '==>'(X_1024, 1))) |
% 10.35/10.53 '==>'(X_1024, '==>'(X_1025, 1)) = '==>'(X_1025, '==>'(X_1024, 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal('==>'(X_1025, '==>'(X_1024, 1)),
% 10.35/10.53 '==>'(X_1024, '==>'(X_1025, 1))))],
% 10.35/10.53 [refute_0_558, refute_0_545])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_560, plain,
% 10.35/10.53 (greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_43 :
% 10.35/10.53 [bind(X_84, $fot('==>'(X_1023, '==>'(X_1022, 1)))),
% 10.35/10.53 bind(X_86, $fot('==>'(X_1022, '==>'(X_1023, 1))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_561, plain,
% 10.35/10.53 (~ greater_equal(0, '==>'(X_624, '==>'(X_623, add(X_624, X_623)))) |
% 10.35/10.53 '==>'(X_624, '==>'(X_623, add(X_624, X_623))) = 0),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_50 :
% 10.35/10.53 [bind(X_403,
% 10.35/10.53 $fot('==>'(X_624,
% 10.35/10.53 '==>'(X_623, add(X_624, X_623)))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_562, plain,
% 10.35/10.53 (greater_equal(0, '==>'(X_624, '==>'(X_623, add(X_624, X_623))))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_381 :
% 10.35/10.53 [bind(X_620, $fot(X_623)), bind(X_621, $fot(X_624))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_563, plain,
% 10.35/10.53 ('==>'(X_624, '==>'(X_623, add(X_624, X_623))) = 0),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal(0,
% 10.35/10.53 '==>'(X_624, '==>'(X_623, add(X_624, X_623)))))],
% 10.35/10.53 [refute_0_562, refute_0_561])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_564, plain,
% 10.35/10.53 ('==>'(X_624,
% 10.35/10.53 '==>'(add(X_746, X_745), add(X_624, add(X_746, X_745)))) = 0),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_563 : [bind(X_623, $fot(add(X_746, X_745)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_565, plain, (add(X_9, add(X_10, A)) = add(X_10, add(X_9, A))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_260 :
% 10.35/10.53 [bind(X_10, $fot(X_9)), bind(X_11, $fot(A)),
% 10.35/10.53 bind(X_9, $fot(X_10))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_566, plain,
% 10.35/10.53 (add(A, add(X_9, X_10)) != add(X_9, add(X_10, A)) |
% 10.35/10.53 add(X_9, add(X_10, A)) != add(X_10, add(X_9, A)) |
% 10.35/10.53 add(A, add(X_9, X_10)) = add(X_10, add(X_9, A))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf(~ $equal(add(A, add(X_9, X_10)),
% 10.35/10.53 add(X_10, add(X_9, A)))), [0],
% 10.35/10.53 $fot(add(X_9, add(X_10, A)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_567, plain,
% 10.35/10.53 (add(A, add(X_9, X_10)) != add(X_9, add(X_10, A)) |
% 10.35/10.53 add(A, add(X_9, X_10)) = add(X_10, add(X_9, A))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(X_9, add(X_10, A)),
% 10.35/10.53 add(X_10, add(X_9, A))))],
% 10.35/10.53 [refute_0_565, refute_0_566])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_568, plain, (add(A, add(X_9, X_10)) = add(X_10, add(X_9, A))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(A, add(X_9, X_10)),
% 10.35/10.53 add(X_9, add(X_10, A))))],
% 10.35/10.53 [refute_0_219, refute_0_567])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_569, plain,
% 10.35/10.53 (add(X_624, add(X_746, X_745)) = add(X_745, add(X_746, X_624))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_568 :
% 10.35/10.53 [bind(A, $fot(X_624)), bind(X_10, $fot(X_745)),
% 10.35/10.53 bind(X_9, $fot(X_746))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_570, plain,
% 10.35/10.53 (add(X_624, add(X_746, X_745)) != add(X_745, add(X_746, X_624)) |
% 10.35/10.53 '==>'(X_624,
% 10.35/10.53 '==>'(add(X_746, X_745), add(X_624, add(X_746, X_745)))) != 0 |
% 10.35/10.53 '==>'(X_624,
% 10.35/10.53 '==>'(add(X_746, X_745), add(X_745, add(X_746, X_624)))) = 0),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal('==>'(X_624,
% 10.35/10.53 '==>'(add(X_746, X_745),
% 10.35/10.53 add(X_624, add(X_746, X_745)))), 0)),
% 10.35/10.53 [0, 1, 1], $fot(add(X_745, add(X_746, X_624)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_571, plain,
% 10.35/10.53 ('==>'(X_624,
% 10.35/10.53 '==>'(add(X_746, X_745), add(X_624, add(X_746, X_745)))) != 0 |
% 10.35/10.53 '==>'(X_624,
% 10.35/10.53 '==>'(add(X_746, X_745), add(X_745, add(X_746, X_624)))) = 0),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(X_624, add(X_746, X_745)),
% 10.35/10.53 add(X_745, add(X_746, X_624))))],
% 10.35/10.53 [refute_0_569, refute_0_570])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_572, plain,
% 10.35/10.53 ('==>'(X_624,
% 10.35/10.53 '==>'(add(X_746, X_745), add(X_745, add(X_746, X_624)))) = 0),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(X_624,
% 10.35/10.53 '==>'(add(X_746, X_745),
% 10.35/10.53 add(X_624, add(X_746, X_745)))), 0))],
% 10.35/10.53 [refute_0_564, refute_0_571])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_573, plain,
% 10.35/10.53 ('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835),
% 10.35/10.53 add(X_835, add(X_836, '==>'(add(X_835, X_836), 1))))) = 0),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_572 :
% 10.35/10.53 [bind(X_624, $fot('==>'(add(X_835, X_836), 1))),
% 10.35/10.53 bind(X_745, $fot(X_835)), bind(X_746, $fot(X_836))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_574, plain,
% 10.35/10.53 (1 = add(X_835, add(X_836, '==>'(add(X_835, X_836), 1)))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_515 :
% 10.35/10.53 [bind(A, $fot(X_835)), bind(B, $fot(X_836))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_575, plain,
% 10.35/10.53 (1 != add(X_835, add(X_836, '==>'(add(X_835, X_836), 1))) |
% 10.35/10.53 add(X_835, add(X_836, '==>'(add(X_835, X_836), 1))) = 1),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_103 :
% 10.35/10.53 [bind(X, $fot(1)),
% 10.35/10.53 bind(Y,
% 10.35/10.53 $fot(add(X_835,
% 10.35/10.53 add(X_836, '==>'(add(X_835, X_836), 1)))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_576, plain,
% 10.35/10.53 (add(X_835, add(X_836, '==>'(add(X_835, X_836), 1))) = 1),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(1,
% 10.35/10.53 add(X_835,
% 10.35/10.53 add(X_836, '==>'(add(X_835, X_836), 1)))))],
% 10.35/10.53 [refute_0_574, refute_0_575])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_577, plain,
% 10.35/10.53 (add(X_835, add(X_836, '==>'(add(X_835, X_836), 1))) != 1 |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835),
% 10.35/10.53 add(X_835, add(X_836, '==>'(add(X_835, X_836), 1))))) != 0 |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) = 0),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835),
% 10.35/10.53 add(X_835,
% 10.35/10.53 add(X_836, '==>'(add(X_835, X_836), 1))))),
% 10.35/10.53 0)), [0, 1, 1], $fot(1)]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_578, plain,
% 10.35/10.53 ('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835),
% 10.35/10.53 add(X_835, add(X_836, '==>'(add(X_835, X_836), 1))))) != 0 |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) = 0),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(X_835,
% 10.35/10.53 add(X_836, '==>'(add(X_835, X_836), 1))), 1))],
% 10.35/10.53 [refute_0_576, refute_0_577])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_579, plain,
% 10.35/10.53 ('==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) = 0),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835),
% 10.35/10.53 add(X_835,
% 10.35/10.53 add(X_836, '==>'(add(X_835, X_836), 1))))),
% 10.35/10.53 0))], [refute_0_573, refute_0_578])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_580, plain,
% 10.35/10.53 ('==>'(add(X_836, X_835), 1) = '==>'(X_835, '==>'(X_836, 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_539 :
% 10.35/10.53 [bind(X_893, $fot(X_835)), bind(X_894, $fot(X_836))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_581, plain,
% 10.35/10.53 ('==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [refl,
% 10.35/10.53 [$fot('==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_582, plain,
% 10.35/10.53 ('==>'(add(X_836, X_835), 1) != '==>'(X_835, '==>'(X_836, 1)) |
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1)) !=
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1)) |
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1)))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal('==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)),
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)))), [1, 1],
% 10.35/10.53 $fot('==>'(X_835, '==>'(X_836, 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_583, plain,
% 10.35/10.53 ('==>'(add(X_836, X_835), 1) != '==>'(X_835, '==>'(X_836, 1)) |
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)),
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(add(X_836, X_835), 1))))],
% 10.35/10.53 [refute_0_581, refute_0_582])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_584, plain,
% 10.35/10.53 ('==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(add(X_836, X_835), 1),
% 10.35/10.53 '==>'(X_835, '==>'(X_836, 1))))],
% 10.35/10.53 [refute_0_580, refute_0_583])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_585, plain,
% 10.35/10.53 ('==>'(add(X_835, X_836), 1) = '==>'(X_836, '==>'(X_835, 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_539 :
% 10.35/10.53 [bind(X_893, $fot(X_836)), bind(X_894, $fot(X_835))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_586, plain,
% 10.35/10.53 ('==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [refl,
% 10.35/10.53 [$fot('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_587, plain,
% 10.35/10.53 ('==>'(add(X_835, X_836), 1) != '==>'(X_836, '==>'(X_835, 1)) |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) !=
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)),
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)))), [1, 0],
% 10.35/10.53 $fot('==>'(X_836, '==>'(X_835, 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_588, plain,
% 10.35/10.53 ('==>'(add(X_835, X_836), 1) != '==>'(X_836, '==>'(X_835, 1)) |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)),
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1))))],
% 10.35/10.53 [refute_0_586, refute_0_587])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_589, plain,
% 10.35/10.53 ('==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(X_836, '==>'(X_835, 1))))],
% 10.35/10.53 [refute_0_585, refute_0_588])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_590, plain,
% 10.35/10.53 ('==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1)) !=
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1))) |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) !=
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1)) |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1)))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_105 :
% 10.35/10.53 [bind(X,
% 10.35/10.53 $fot('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)))),
% 10.35/10.53 bind(Y,
% 10.35/10.53 $fot('==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)))),
% 10.35/10.53 bind(Z,
% 10.35/10.53 $fot('==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(X_835, '==>'(X_836, 1)))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_591, plain,
% 10.35/10.53 ('==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(add(X_836, X_835), 1)) !=
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1))) |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)),
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(add(X_836, X_835), 1))))],
% 10.35/10.53 [refute_0_589, refute_0_590])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_592, plain,
% 10.35/10.53 ('==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) =
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)),
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(X_835, '==>'(X_836, 1)))))],
% 10.35/10.53 [refute_0_584, refute_0_591])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_593, plain,
% 10.35/10.53 ('==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) != 0 |
% 10.35/10.53 '==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) !=
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1))) |
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1))) =
% 10.35/10.53 0),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)), 0)), [0],
% 10.35/10.53 $fot('==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(X_835, '==>'(X_836, 1))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_594, plain,
% 10.35/10.53 ('==>'('==>'(add(X_835, X_836), 1), '==>'(add(X_836, X_835), 1)) != 0 |
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1))) =
% 10.35/10.53 0),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)),
% 10.35/10.53 '==>'('==>'(X_836, '==>'(X_835, 1)),
% 10.35/10.53 '==>'(X_835, '==>'(X_836, 1)))))],
% 10.35/10.53 [refute_0_592, refute_0_593])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_595, plain,
% 10.35/10.53 ('==>'('==>'(X_836, '==>'(X_835, 1)), '==>'(X_835, '==>'(X_836, 1))) =
% 10.35/10.53 0),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(add(X_835, X_836), 1),
% 10.35/10.53 '==>'(add(X_836, X_835), 1)), 0))],
% 10.35/10.53 [refute_0_579, refute_0_594])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_596, plain,
% 10.35/10.53 ('==>'('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1))) = 0),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_595 :
% 10.35/10.53 [bind(X_835, $fot(X_1022)), bind(X_836, $fot(X_1023))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_597, plain,
% 10.35/10.53 ('==>'('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1))) != 0 |
% 10.35/10.53 ~
% 10.35/10.53 greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1))) |
% 10.35/10.53 greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)), 0),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf(greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))), [0, 1],
% 10.35/10.53 $fot(0)]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_598, plain,
% 10.35/10.53 (~
% 10.35/10.53 greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1))) |
% 10.35/10.53 greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)), 0),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1))), 0))],
% 10.35/10.53 [refute_0_596, refute_0_597])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_599, plain,
% 10.35/10.53 (greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)), 0),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1))))],
% 10.35/10.53 [refute_0_560, refute_0_598])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_600, plain,
% 10.35/10.53 (add(0, '==>'(X_1023, '==>'(X_1022, 1))) =
% 10.35/10.53 '==>'(X_1023, '==>'(X_1022, 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_15 :
% 10.35/10.53 [bind(A, $fot('==>'(X_1023, '==>'(X_1022, 1))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_601, plain,
% 10.35/10.53 (add('==>'(X_1023, '==>'(X_1022, 1)), 0) =
% 10.35/10.53 add(0, '==>'(X_1023, '==>'(X_1022, 1)))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_181 :
% 10.35/10.53 [bind(X_133, $fot(0)),
% 10.35/10.53 bind(X_134, $fot('==>'(X_1023, '==>'(X_1022, 1))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_602, plain,
% 10.35/10.53 (add(0, '==>'(X_1023, '==>'(X_1022, 1))) !=
% 10.35/10.53 '==>'(X_1023, '==>'(X_1022, 1)) |
% 10.35/10.53 add('==>'(X_1023, '==>'(X_1022, 1)), 0) !=
% 10.35/10.53 add(0, '==>'(X_1023, '==>'(X_1022, 1))) |
% 10.35/10.53 add('==>'(X_1023, '==>'(X_1022, 1)), 0) =
% 10.35/10.53 '==>'(X_1023, '==>'(X_1022, 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_105 :
% 10.35/10.53 [bind(X, $fot(add('==>'(X_1023, '==>'(X_1022, 1)), 0))),
% 10.35/10.53 bind(Y, $fot(add(0, '==>'(X_1023, '==>'(X_1022, 1))))),
% 10.35/10.53 bind(Z, $fot('==>'(X_1023, '==>'(X_1022, 1))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_603, plain,
% 10.35/10.53 (add(0, '==>'(X_1023, '==>'(X_1022, 1))) !=
% 10.35/10.53 '==>'(X_1023, '==>'(X_1022, 1)) |
% 10.35/10.53 add('==>'(X_1023, '==>'(X_1022, 1)), 0) =
% 10.35/10.53 '==>'(X_1023, '==>'(X_1022, 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add('==>'(X_1023, '==>'(X_1022, 1)), 0),
% 10.35/10.53 add(0, '==>'(X_1023, '==>'(X_1022, 1)))))],
% 10.35/10.53 [refute_0_601, refute_0_602])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_604, plain,
% 10.35/10.53 (add('==>'(X_1023, '==>'(X_1022, 1)), 0) =
% 10.35/10.53 '==>'(X_1023, '==>'(X_1022, 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(0, '==>'(X_1023, '==>'(X_1022, 1))),
% 10.35/10.53 '==>'(X_1023, '==>'(X_1022, 1))))],
% 10.35/10.53 [refute_0_600, refute_0_603])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_605, plain,
% 10.35/10.53 (add('==>'(X_1023, '==>'(X_1022, 1)), 0) !=
% 10.35/10.53 '==>'(X_1023, '==>'(X_1022, 1)) |
% 10.35/10.53 ~
% 10.35/10.53 greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)), 0),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1))) |
% 10.35/10.53 greater_equal('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf(greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 0), '==>'(X_1022, '==>'(X_1023, 1)))), [0],
% 10.35/10.53 $fot('==>'(X_1023, '==>'(X_1022, 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_606, plain,
% 10.35/10.53 (~
% 10.35/10.53 greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)), 0),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1))) |
% 10.35/10.53 greater_equal('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add('==>'(X_1023, '==>'(X_1022, 1)), 0),
% 10.35/10.53 '==>'(X_1023, '==>'(X_1022, 1))))],
% 10.35/10.53 [refute_0_604, refute_0_605])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_607, plain,
% 10.35/10.53 (greater_equal('==>'(X_1023, '==>'(X_1022, 1)),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal(add('==>'(X_1023, '==>'(X_1022, 1)), 0),
% 10.35/10.53 '==>'(X_1022, '==>'(X_1023, 1))))],
% 10.35/10.53 [refute_0_599, refute_0_606])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_608, plain,
% 10.35/10.53 (greater_equal('==>'(X_1024, '==>'(X_1025, 1)),
% 10.35/10.53 '==>'(X_1025, '==>'(X_1024, 1)))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_607 :
% 10.35/10.53 [bind(X_1022, $fot(X_1025)), bind(X_1023, $fot(X_1024))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_609, plain,
% 10.35/10.53 ('==>'(X_1024, '==>'(X_1025, 1)) = '==>'(X_1025, '==>'(X_1024, 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal('==>'(X_1024, '==>'(X_1025, 1)),
% 10.35/10.53 '==>'(X_1025, '==>'(X_1024, 1))))],
% 10.35/10.53 [refute_0_608, refute_0_559])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_610, plain,
% 10.35/10.53 ('==>'(X_1024, '==>'(X_1025, 1)) != '==>'(X_1025, '==>'(X_1024, 1)) |
% 10.35/10.53 '==>'(X_1025, '==>'(X_1024, 1)) = '==>'(X_1024, '==>'(X_1025, 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_103 :
% 10.35/10.53 [bind(X, $fot('==>'(X_1024, '==>'(X_1025, 1)))),
% 10.35/10.53 bind(Y, $fot('==>'(X_1025, '==>'(X_1024, 1))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_611, plain,
% 10.35/10.53 ('==>'(X_1025, '==>'(X_1024, 1)) = '==>'(X_1024, '==>'(X_1025, 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(X_1024, '==>'(X_1025, 1)),
% 10.35/10.53 '==>'(X_1025, '==>'(X_1024, 1))))],
% 10.35/10.53 [refute_0_609, refute_0_610])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_612, plain,
% 10.35/10.53 ('==>'(add(X_936, X_935), '==>'(X_936, 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(add(X_936, X_935), 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_611 :
% 10.35/10.53 [bind(X_1024, $fot(X_936)),
% 10.35/10.53 bind(X_1025, $fot(add(X_936, X_935)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_613, plain,
% 10.35/10.53 ('==>'(X_936, '==>'(add(X_936, X_935), 1)) !=
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1))) |
% 10.35/10.53 '==>'(add(X_936, X_935), '==>'(X_936, 1)) !=
% 10.35/10.53 '==>'(X_936, '==>'(add(X_936, X_935), 1)) |
% 10.35/10.53 '==>'(add(X_936, X_935), '==>'(X_936, 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_105 :
% 10.35/10.53 [bind(X, $fot('==>'(add(X_936, X_935), '==>'(X_936, 1)))),
% 10.35/10.53 bind(Y, $fot('==>'(X_936, '==>'(add(X_936, X_935), 1)))),
% 10.35/10.53 bind(Z,
% 10.35/10.53 $fot('==>'(X_936,
% 10.35/10.53 '==>'(X_935, '==>'(X_936, 1)))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_614, plain,
% 10.35/10.53 ('==>'(X_936, '==>'(add(X_936, X_935), 1)) !=
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1))) |
% 10.35/10.53 '==>'(add(X_936, X_935), '==>'(X_936, 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(add(X_936, X_935), '==>'(X_936, 1)),
% 10.35/10.53 '==>'(X_936, '==>'(add(X_936, X_935), 1))))],
% 10.35/10.53 [refute_0_612, refute_0_613])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_615, plain,
% 10.35/10.53 ('==>'(add(X_936, X_935), '==>'(X_936, 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(X_936, '==>'(add(X_936, X_935), 1)),
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))))],
% 10.35/10.53 [refute_0_544, refute_0_614])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_616, plain,
% 10.35/10.53 ('==>'(X_935, '==>'(X_936, 1)) !=
% 10.35/10.53 '==>'(add(X_936, X_935), '==>'(X_936, 1)) |
% 10.35/10.53 '==>'(add(X_936, X_935), '==>'(X_936, 1)) !=
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1))) |
% 10.35/10.53 '==>'(X_935, '==>'(X_936, 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf(~ $equal('==>'(X_935, '==>'(X_936, 1)),
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1))))), [0],
% 10.35/10.53 $fot('==>'(add(X_936, X_935), '==>'(X_936, 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_617, plain,
% 10.35/10.53 ('==>'(X_935, '==>'(X_936, 1)) !=
% 10.35/10.53 '==>'(add(X_936, X_935), '==>'(X_936, 1)) |
% 10.35/10.53 '==>'(X_935, '==>'(X_936, 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(add(X_936, X_935), '==>'(X_936, 1)),
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))))],
% 10.35/10.53 [refute_0_615, refute_0_616])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_618, plain,
% 10.35/10.53 ('==>'(X_935, '==>'(X_936, 1)) =
% 10.35/10.53 '==>'(X_936, '==>'(X_935, '==>'(X_936, 1)))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(X_935, '==>'(X_936, 1)),
% 10.35/10.53 '==>'(add(X_936, X_935), '==>'(X_936, 1))))],
% 10.35/10.53 [refute_0_504, refute_0_617])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_619, plain,
% 10.35/10.53 ('==>'(X_935, '==>'(X_1085, 1)) =
% 10.35/10.53 '==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1)))),
% 10.35/10.53 inference(subst, [], [refute_0_618 : [bind(X_936, $fot(X_1085))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_620, plain,
% 10.35/10.53 ('==>'(X_935, '==>'(X_1085, 1)) !=
% 10.35/10.53 '==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1))) |
% 10.35/10.53 '==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1))) =
% 10.35/10.53 '==>'(X_935, '==>'(X_1085, 1))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_103 :
% 10.35/10.53 [bind(X, $fot('==>'(X_935, '==>'(X_1085, 1)))),
% 10.35/10.53 bind(Y,
% 10.35/10.53 $fot('==>'(X_1085,
% 10.35/10.53 '==>'(X_935, '==>'(X_1085, 1)))))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_621, plain,
% 10.35/10.53 ('==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1))) =
% 10.35/10.53 '==>'(X_935, '==>'(X_1085, 1))),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(X_935, '==>'(X_1085, 1)),
% 10.35/10.53 '==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1)))))],
% 10.35/10.53 [refute_0_619, refute_0_620])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_622, plain,
% 10.35/10.53 (add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) !=
% 10.35/10.53 '==>'('==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1))), 1) |
% 10.35/10.53 '==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1))) !=
% 10.35/10.53 '==>'(X_935, '==>'(X_1085, 1)) |
% 10.35/10.53 add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) =
% 10.35/10.53 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal(add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.53 X_1085),
% 10.35/10.53 '==>'('==>'(X_1085,
% 10.35/10.53 '==>'(X_935, '==>'(X_1085, 1))), 1))), [1, 0],
% 10.35/10.53 $fot('==>'(X_935, '==>'(X_1085, 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_623, plain,
% 10.35/10.53 (add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) !=
% 10.35/10.53 '==>'('==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1))), 1) |
% 10.35/10.53 add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) =
% 10.35/10.53 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1))),
% 10.35/10.53 '==>'(X_935, '==>'(X_1085, 1))))],
% 10.35/10.53 [refute_0_621, refute_0_622])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_624, plain,
% 10.35/10.53 (add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) =
% 10.35/10.53 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.53 X_1085),
% 10.35/10.53 '==>'('==>'(X_1085, '==>'(X_935, '==>'(X_1085, 1))),
% 10.35/10.53 1)))], [refute_0_492, refute_0_623])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_625, plain, (add(0, X_1085) = X_1085),
% 10.35/10.53 inference(subst, [], [refute_0_15 : [bind(A, $fot(X_1085))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_626, plain, ('==>'('==>'(1, X_408), '==>'(1, X_408)) = 0),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_131 : [bind(A, $fot('==>'(1, X_408)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_627, plain,
% 10.35/10.53 (~ greater_equal('==>'('==>'(1, X_296), X_298), '==>'(X_297, X_298)) |
% 10.35/10.53 greater_equal(add(X_297, '==>'('==>'(1, X_296), X_298)), X_298)),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_38 :
% 10.35/10.53 [bind(X5, $fot(X_297)),
% 10.35/10.53 bind(X6, $fot('==>'('==>'(1, X_296), X_298))),
% 10.35/10.53 bind(X7, $fot(X_298))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_628, plain,
% 10.35/10.53 (~ greater_equal(add(1, X_149), X_150) |
% 10.35/10.53 greater_equal(X_149, '==>'(1, X_150))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_84 :
% 10.35/10.53 [bind(X5, $fot(1)), bind(X6, $fot(X_149)),
% 10.35/10.53 bind(X7, $fot(X_150))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_629, plain, (add(1, X_149) = 1),
% 10.35/10.53 inference(subst, [], [refute_0_25 : [bind(A, $fot(X_149))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_630, plain,
% 10.35/10.53 (add(1, X_149) != 1 | ~ greater_equal(1, X_150) |
% 10.35/10.53 greater_equal(add(1, X_149), X_150)),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf(~ greater_equal(add(1, X_149), X_150)), [0],
% 10.35/10.53 $fot(1)]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_631, plain,
% 10.35/10.53 (~ greater_equal(1, X_150) | greater_equal(add(1, X_149), X_150)),
% 10.35/10.53 inference(resolve, [$cnf($equal(add(1, X_149), 1))],
% 10.35/10.53 [refute_0_629, refute_0_630])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_632, plain,
% 10.35/10.53 (~ greater_equal(1, X_150) | greater_equal(X_149, '==>'(1, X_150))),
% 10.35/10.53 inference(resolve, [$cnf(greater_equal(add(1, X_149), X_150))],
% 10.35/10.53 [refute_0_631, refute_0_628])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_633, plain, (greater_equal(1, X_150)),
% 10.35/10.53 inference(subst, [], [refute_0_29 : [bind(X_24, $fot(X_150))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_634, plain, (greater_equal(X_149, '==>'(1, X_150))),
% 10.35/10.53 inference(resolve, [$cnf(greater_equal(1, X_150))],
% 10.35/10.53 [refute_0_633, refute_0_632])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_635, plain, (greater_equal(X_276, '==>'(1, X_150))),
% 10.35/10.53 inference(subst, [], [refute_0_634 : [bind(X_149, $fot(X_276))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_636, plain,
% 10.35/10.53 (~ greater_equal(X_276, '==>'(1, X_150)) |
% 10.35/10.53 greater_equal('==>'('==>'(1, X_150), X_278), '==>'(X_276, X_278))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_3 :
% 10.35/10.53 [bind(X11, $fot(X_276)), bind(X12, $fot('==>'(1, X_150))),
% 10.35/10.53 bind(X13, $fot(X_278))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_637, plain,
% 10.35/10.53 (greater_equal('==>'('==>'(1, X_150), X_278), '==>'(X_276, X_278))),
% 10.35/10.53 inference(resolve, [$cnf(greater_equal(X_276, '==>'(1, X_150)))],
% 10.35/10.53 [refute_0_635, refute_0_636])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_638, plain,
% 10.35/10.53 (greater_equal('==>'('==>'(1, X_296), X_298), '==>'(X_297, X_298))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_637 :
% 10.35/10.53 [bind(X_150, $fot(X_296)), bind(X_276, $fot(X_297)),
% 10.35/10.53 bind(X_278, $fot(X_298))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_639, plain,
% 10.35/10.53 (greater_equal(add(X_297, '==>'('==>'(1, X_296), X_298)), X_298)),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal('==>'('==>'(1, X_296), X_298),
% 10.35/10.53 '==>'(X_297, X_298)))],
% 10.35/10.53 [refute_0_638, refute_0_627])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_640, plain,
% 10.35/10.53 (greater_equal(add(0, '==>'('==>'(1, X_299), X_301)), X_301)),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_639 :
% 10.35/10.53 [bind(X_296, $fot(X_299)), bind(X_297, $fot(0)),
% 10.35/10.53 bind(X_298, $fot(X_301))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_641, plain,
% 10.35/10.53 (add(0, '==>'('==>'(1, X_299), X_301)) =
% 10.35/10.53 '==>'('==>'(1, X_299), X_301)),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_15 :
% 10.35/10.53 [bind(A, $fot('==>'('==>'(1, X_299), X_301)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_642, plain,
% 10.35/10.53 (add(0, '==>'('==>'(1, X_299), X_301)) !=
% 10.35/10.53 '==>'('==>'(1, X_299), X_301) |
% 10.35/10.53 ~ greater_equal(add(0, '==>'('==>'(1, X_299), X_301)), X_301) |
% 10.35/10.53 greater_equal('==>'('==>'(1, X_299), X_301), X_301)),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf(greater_equal(add(0, '==>'('==>'(1, X_299), X_301)),
% 10.35/10.53 X_301)), [0],
% 10.35/10.53 $fot('==>'('==>'(1, X_299), X_301))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_643, plain,
% 10.35/10.53 (~ greater_equal(add(0, '==>'('==>'(1, X_299), X_301)), X_301) |
% 10.35/10.53 greater_equal('==>'('==>'(1, X_299), X_301), X_301)),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add(0, '==>'('==>'(1, X_299), X_301)),
% 10.35/10.53 '==>'('==>'(1, X_299), X_301)))],
% 10.35/10.53 [refute_0_641, refute_0_642])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_644, plain,
% 10.35/10.53 (greater_equal('==>'('==>'(1, X_299), X_301), X_301)),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal(add(0, '==>'('==>'(1, X_299), X_301)),
% 10.35/10.53 X_301))], [refute_0_640, refute_0_643])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_645, plain,
% 10.35/10.53 (greater_equal('==>'('==>'(1, X_299), X_404), X_404)),
% 10.35/10.53 inference(subst, [], [refute_0_644 : [bind(X_301, $fot(X_404))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_646, plain,
% 10.35/10.53 (~ greater_equal(X_404, '==>'('==>'(1, X_299), X_404)) |
% 10.35/10.53 ~ greater_equal('==>'('==>'(1, X_299), X_404), X_404) |
% 10.35/10.53 '==>'('==>'(1, X_299), X_404) = X_404),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_1 :
% 10.35/10.53 [bind(X3, $fot('==>'('==>'(1, X_299), X_404))),
% 10.35/10.53 bind(X4, $fot(X_404))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_647, plain,
% 10.35/10.53 (~ greater_equal(X_404, '==>'('==>'(1, X_299), X_404)) |
% 10.35/10.53 '==>'('==>'(1, X_299), X_404) = X_404),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal('==>'('==>'(1, X_299), X_404), X_404))],
% 10.35/10.53 [refute_0_645, refute_0_646])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_648, plain,
% 10.35/10.53 (greater_equal(X_404, '==>'('==>'(1, X_299), X_404))),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_86 :
% 10.35/10.53 [bind(X_148, $fot('==>'(1, X_299))),
% 10.35/10.53 bind(X_150, $fot(X_404))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_649, plain, ('==>'('==>'(1, X_299), X_404) = X_404),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf(greater_equal(X_404, '==>'('==>'(1, X_299), X_404)))],
% 10.35/10.53 [refute_0_648, refute_0_647])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_650, plain,
% 10.35/10.53 ('==>'('==>'(1, X_408), '==>'(1, X_408)) = '==>'(1, X_408)),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_649 :
% 10.35/10.53 [bind(X_299, $fot(X_408)),
% 10.35/10.53 bind(X_404, $fot('==>'(1, X_408)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_651, plain,
% 10.35/10.53 ('==>'('==>'(1, X_408), '==>'(1, X_408)) != 0 |
% 10.35/10.53 '==>'('==>'(1, X_408), '==>'(1, X_408)) != '==>'(1, X_408) |
% 10.35/10.53 '==>'(1, X_408) = 0),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal('==>'('==>'(1, X_408), '==>'(1, X_408)), 0)),
% 10.35/10.53 [0], $fot('==>'(1, X_408))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_652, plain,
% 10.35/10.53 ('==>'('==>'(1, X_408), '==>'(1, X_408)) != 0 | '==>'(1, X_408) = 0),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(1, X_408), '==>'(1, X_408)),
% 10.35/10.53 '==>'(1, X_408)))], [refute_0_650, refute_0_651])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_653, plain, ('==>'(1, X_408) = 0),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(1, X_408), '==>'(1, X_408)), 0))],
% 10.35/10.53 [refute_0_626, refute_0_652])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_654, plain, ('==>'(1, 1) = 0),
% 10.35/10.53 inference(subst, [], [refute_0_653 : [bind(X_408, $fot(1))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_655, plain,
% 10.35/10.53 (add('==>'(1, 1), X_1085) = add('==>'(1, 1), X_1085)),
% 10.35/10.53 introduced(tautology, [refl, [$fot(add('==>'(1, 1), X_1085))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_656, plain,
% 10.35/10.53 (add('==>'(1, 1), X_1085) != add('==>'(1, 1), X_1085) |
% 10.35/10.53 '==>'(1, 1) != 0 | add('==>'(1, 1), X_1085) = add(0, X_1085)),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal(add('==>'(1, 1), X_1085),
% 10.35/10.53 add('==>'(1, 1), X_1085))), [1, 0], $fot(0)]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_657, plain,
% 10.35/10.53 ('==>'(1, 1) != 0 | add('==>'(1, 1), X_1085) = add(0, X_1085)),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add('==>'(1, 1), X_1085),
% 10.35/10.53 add('==>'(1, 1), X_1085)))],
% 10.35/10.53 [refute_0_655, refute_0_656])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_658, plain, (add('==>'(1, 1), X_1085) = add(0, X_1085)),
% 10.35/10.53 inference(resolve, [$cnf($equal('==>'(1, 1), 0))],
% 10.35/10.53 [refute_0_654, refute_0_657])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_659, plain,
% 10.35/10.53 (add(0, X_1085) != X_1085 |
% 10.35/10.53 add('==>'(1, 1), X_1085) != add(0, X_1085) |
% 10.35/10.53 add('==>'(1, 1), X_1085) = X_1085),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_105 :
% 10.35/10.53 [bind(X, $fot(add('==>'(1, 1), X_1085))),
% 10.35/10.53 bind(Y, $fot(add(0, X_1085))), bind(Z, $fot(X_1085))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_660, plain,
% 10.35/10.53 (add(0, X_1085) != X_1085 | add('==>'(1, 1), X_1085) = X_1085),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add('==>'(1, 1), X_1085), add(0, X_1085)))],
% 10.35/10.53 [refute_0_658, refute_0_659])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_661, plain, (add('==>'(1, 1), X_1085) = X_1085),
% 10.35/10.53 inference(resolve, [$cnf($equal(add(0, X_1085), X_1085))],
% 10.35/10.53 [refute_0_625, refute_0_660])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_662, plain,
% 10.35/10.53 (add('==>'(X_1082, 1), X_1083) != '==>'('==>'(X_1083, X_1082), 1) |
% 10.35/10.53 '==>'('==>'(X_1083, X_1082), 1) = add('==>'(X_1082, 1), X_1083)),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_103 :
% 10.35/10.53 [bind(X, $fot(add('==>'(X_1082, 1), X_1083))),
% 10.35/10.53 bind(Y, $fot('==>'('==>'(X_1083, X_1082), 1)))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_663, plain,
% 10.35/10.53 ('==>'('==>'(X_1083, X_1082), 1) = add('==>'(X_1082, 1), X_1083)),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add('==>'(X_1082, 1), X_1083),
% 10.35/10.53 '==>'('==>'(X_1083, X_1082), 1)))],
% 10.35/10.53 [refute_0_491, refute_0_662])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_664, plain,
% 10.35/10.53 ('==>'('==>'(X_1085, 1), 1) = add('==>'(1, 1), X_1085)),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_663 :
% 10.35/10.53 [bind(X_1082, $fot(1)), bind(X_1083, $fot(X_1085))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_665, plain,
% 10.35/10.53 (add('==>'(1, 1), X_1085) != X_1085 |
% 10.35/10.53 '==>'('==>'(X_1085, 1), 1) != add('==>'(1, 1), X_1085) |
% 10.35/10.53 '==>'('==>'(X_1085, 1), 1) = X_1085),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_105 :
% 10.35/10.53 [bind(X, $fot('==>'('==>'(X_1085, 1), 1))),
% 10.35/10.53 bind(Y, $fot(add('==>'(1, 1), X_1085))),
% 10.35/10.53 bind(Z, $fot(X_1085))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_666, plain,
% 10.35/10.53 (add('==>'(1, 1), X_1085) != X_1085 |
% 10.35/10.53 '==>'('==>'(X_1085, 1), 1) = X_1085),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal('==>'('==>'(X_1085, 1), 1),
% 10.35/10.53 add('==>'(1, 1), X_1085)))],
% 10.35/10.53 [refute_0_664, refute_0_665])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_667, plain, ('==>'('==>'(X_1085, 1), 1) = X_1085),
% 10.35/10.53 inference(resolve, [$cnf($equal(add('==>'(1, 1), X_1085), X_1085))],
% 10.35/10.53 [refute_0_661, refute_0_666])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_668, plain,
% 10.35/10.53 (add('==>'('==>'(X_1085, 1), 1), X_935) =
% 10.35/10.53 add('==>'('==>'(X_1085, 1), 1), X_935)),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [refl, [$fot(add('==>'('==>'(X_1085, 1), 1), X_935))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_669, plain,
% 10.35/10.53 (add('==>'('==>'(X_1085, 1), 1), X_935) !=
% 10.35/10.53 add('==>'('==>'(X_1085, 1), 1), X_935) |
% 10.35/10.53 '==>'('==>'(X_1085, 1), 1) != X_1085 |
% 10.35/10.53 add('==>'('==>'(X_1085, 1), 1), X_935) = add(X_1085, X_935)),
% 10.35/10.53 introduced(tautology,
% 10.35/10.53 [equality,
% 10.35/10.53 [$cnf($equal(add('==>'('==>'(X_1085, 1), 1), X_935),
% 10.35/10.53 add('==>'('==>'(X_1085, 1), 1), X_935))), [1, 0],
% 10.35/10.53 $fot(X_1085)]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_670, plain,
% 10.35/10.53 ('==>'('==>'(X_1085, 1), 1) != X_1085 |
% 10.35/10.53 add('==>'('==>'(X_1085, 1), 1), X_935) = add(X_1085, X_935)),
% 10.35/10.53 inference(resolve,
% 10.35/10.53 [$cnf($equal(add('==>'('==>'(X_1085, 1), 1), X_935),
% 10.35/10.53 add('==>'('==>'(X_1085, 1), 1), X_935)))],
% 10.35/10.53 [refute_0_668, refute_0_669])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_671, plain,
% 10.35/10.53 (add('==>'('==>'(X_1085, 1), 1), X_935) = add(X_1085, X_935)),
% 10.35/10.53 inference(resolve, [$cnf($equal('==>'('==>'(X_1085, 1), 1), X_1085))],
% 10.35/10.53 [refute_0_667, refute_0_670])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_672, plain,
% 10.35/10.53 ('==>'('==>'(X_935, '==>'(X_1085, 1)), 1) =
% 10.35/10.53 add('==>'('==>'(X_1085, 1), 1), X_935)),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_663 :
% 10.35/10.53 [bind(X_1082, $fot('==>'(X_1085, 1))),
% 10.35/10.53 bind(X_1083, $fot(X_935))]])).
% 10.35/10.53
% 10.35/10.53 cnf(refute_0_673, plain,
% 10.35/10.53 (add('==>'('==>'(X_1085, 1), 1), X_935) != add(X_1085, X_935) |
% 10.35/10.53 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) !=
% 10.35/10.53 add('==>'('==>'(X_1085, 1), 1), X_935) |
% 10.35/10.53 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) = add(X_1085, X_935)),
% 10.35/10.53 inference(subst, [],
% 10.35/10.53 [refute_0_105 :
% 10.35/10.53 [bind(X, $fot('==>'('==>'(X_935, '==>'(X_1085, 1)), 1))),
% 10.35/10.54 bind(Y, $fot(add('==>'('==>'(X_1085, 1), 1), X_935))),
% 10.35/10.54 bind(Z, $fot(add(X_1085, X_935)))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_674, plain,
% 10.35/10.54 (add('==>'('==>'(X_1085, 1), 1), X_935) != add(X_1085, X_935) |
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) = add(X_1085, X_935)),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.54 add('==>'('==>'(X_1085, 1), 1), X_935)))],
% 10.35/10.54 [refute_0_672, refute_0_673])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_675, plain,
% 10.35/10.54 ('==>'('==>'(X_935, '==>'(X_1085, 1)), 1) = add(X_1085, X_935)),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add('==>'('==>'(X_1085, 1), 1), X_935),
% 10.35/10.54 add(X_1085, X_935)))],
% 10.35/10.54 [refute_0_671, refute_0_674])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_676, plain,
% 10.35/10.54 (add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)) =
% 10.35/10.54 add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1))),
% 10.35/10.54 introduced(tautology,
% 10.35/10.54 [refl,
% 10.35/10.54 [$fot(add(X_1085,
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_677, plain,
% 10.35/10.54 (add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)) !=
% 10.35/10.54 add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)) |
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) != add(X_1085, X_935) |
% 10.35/10.54 add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)) =
% 10.35/10.54 add(X_1085, add(X_1085, X_935))),
% 10.35/10.54 introduced(tautology,
% 10.35/10.54 [equality,
% 10.35/10.54 [$cnf($equal(add(X_1085,
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)),
% 10.35/10.54 add(X_1085,
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)))),
% 10.35/10.54 [1, 1], $fot(add(X_1085, X_935))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_678, plain,
% 10.35/10.54 ('==>'('==>'(X_935, '==>'(X_1085, 1)), 1) != add(X_1085, X_935) |
% 10.35/10.54 add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)) =
% 10.35/10.54 add(X_1085, add(X_1085, X_935))),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add(X_1085,
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)),
% 10.35/10.54 add(X_1085,
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1))))],
% 10.35/10.54 [refute_0_676, refute_0_677])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_679, plain,
% 10.35/10.54 (add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)) =
% 10.35/10.54 add(X_1085, add(X_1085, X_935))),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.54 add(X_1085, X_935)))],
% 10.35/10.54 [refute_0_675, refute_0_678])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_680, plain,
% 10.35/10.54 (add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) =
% 10.35/10.54 add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1))),
% 10.35/10.54 inference(subst, [],
% 10.35/10.54 [refute_0_181 :
% 10.35/10.54 [bind(X_133, $fot(X_1085)),
% 10.35/10.54 bind(X_134,
% 10.35/10.54 $fot('==>'('==>'(X_935, '==>'(X_1085, 1)), 1)))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_681, plain,
% 10.35/10.54 (add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)) !=
% 10.35/10.54 add(X_1085, add(X_1085, X_935)) |
% 10.35/10.54 add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) !=
% 10.35/10.54 add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)) |
% 10.35/10.54 add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) =
% 10.35/10.54 add(X_1085, add(X_1085, X_935))),
% 10.35/10.54 inference(subst, [],
% 10.35/10.54 [refute_0_105 :
% 10.35/10.54 [bind(X,
% 10.35/10.54 $fot(add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.54 X_1085))),
% 10.35/10.54 bind(Y,
% 10.35/10.54 $fot(add(X_1085,
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)))),
% 10.35/10.54 bind(Z, $fot(add(X_1085, add(X_1085, X_935))))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_682, plain,
% 10.35/10.54 (add(X_1085, '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)) !=
% 10.35/10.54 add(X_1085, add(X_1085, X_935)) |
% 10.35/10.54 add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) =
% 10.35/10.54 add(X_1085, add(X_1085, X_935))),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.54 X_1085),
% 10.35/10.54 add(X_1085,
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1))))],
% 10.35/10.54 [refute_0_680, refute_0_681])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_683, plain,
% 10.35/10.54 (add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) =
% 10.35/10.54 add(X_1085, add(X_1085, X_935))),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add(X_1085,
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)),
% 10.35/10.54 add(X_1085, add(X_1085, X_935))))],
% 10.35/10.54 [refute_0_679, refute_0_682])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_684, plain,
% 10.35/10.54 (add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) !=
% 10.35/10.54 add(X_1085, add(X_1085, X_935)) |
% 10.35/10.54 add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) !=
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) |
% 10.35/10.54 add(X_1085, add(X_1085, X_935)) =
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)),
% 10.35/10.54 introduced(tautology,
% 10.35/10.54 [equality,
% 10.35/10.54 [$cnf($equal(add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.54 X_1085),
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1))), [0],
% 10.35/10.54 $fot(add(X_1085, add(X_1085, X_935)))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_685, plain,
% 10.35/10.54 (add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) !=
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) |
% 10.35/10.54 add(X_1085, add(X_1085, X_935)) =
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.54 X_1085), add(X_1085, add(X_1085, X_935))))],
% 10.35/10.54 [refute_0_683, refute_0_684])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_686, plain,
% 10.35/10.54 (add(X_1085, add(X_1085, X_935)) !=
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) |
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) != add(X_1085, X_935) |
% 10.35/10.54 add(X_1085, add(X_1085, X_935)) = add(X_1085, X_935)),
% 10.35/10.54 introduced(tautology,
% 10.35/10.54 [equality,
% 10.35/10.54 [$cnf(~ $equal(add(X_1085, add(X_1085, X_935)),
% 10.35/10.54 add(X_1085, X_935))), [0],
% 10.35/10.54 $fot('==>'('==>'(X_935, '==>'(X_1085, 1)), 1))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_687, plain,
% 10.35/10.54 (add(X_1085, add(X_1085, X_935)) !=
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) |
% 10.35/10.54 add(X_1085, add(X_1085, X_935)) = add(X_1085, X_935)),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.54 add(X_1085, X_935)))],
% 10.35/10.54 [refute_0_675, refute_0_686])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_688, plain,
% 10.35/10.54 (add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1), X_1085) !=
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1) |
% 10.35/10.54 add(X_1085, add(X_1085, X_935)) = add(X_1085, X_935)),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add(X_1085, add(X_1085, X_935)),
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)))],
% 10.35/10.54 [refute_0_685, refute_0_687])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_689, plain,
% 10.35/10.54 (add(X_1085, add(X_1085, X_935)) = add(X_1085, X_935)),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add('==>'('==>'(X_935, '==>'(X_1085, 1)), 1),
% 10.35/10.54 X_1085),
% 10.35/10.54 '==>'('==>'(X_935, '==>'(X_1085, 1)), 1)))],
% 10.35/10.54 [refute_0_624, refute_0_688])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_690, plain, (add(X_1086, add(X_1086, 0)) = add(X_1086, 0)),
% 10.35/10.54 inference(subst, [],
% 10.35/10.54 [refute_0_689 :
% 10.35/10.54 [bind(X_1085, $fot(X_1086)), bind(X_935, $fot(0))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_691, plain, (add(X_1086, 0) = X_1086),
% 10.35/10.54 inference(subst, [], [refute_0_10 : [bind(A, $fot(X_1086))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_692, plain,
% 10.35/10.54 (add(X_1086, add(X_1086, 0)) != add(X_1086, 0) |
% 10.35/10.54 add(X_1086, 0) != X_1086 | add(X_1086, X_1086) = add(X_1086, 0)),
% 10.35/10.54 introduced(tautology,
% 10.35/10.54 [equality,
% 10.35/10.54 [$cnf($equal(add(X_1086, add(X_1086, 0)), add(X_1086, 0))),
% 10.35/10.54 [0, 1], $fot(X_1086)]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_693, plain,
% 10.35/10.54 (add(X_1086, add(X_1086, 0)) != add(X_1086, 0) |
% 10.35/10.54 add(X_1086, X_1086) = add(X_1086, 0)),
% 10.35/10.54 inference(resolve, [$cnf($equal(add(X_1086, 0), X_1086))],
% 10.35/10.54 [refute_0_691, refute_0_692])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_694, plain, (add(X_1086, X_1086) = add(X_1086, 0)),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add(X_1086, add(X_1086, 0)), add(X_1086, 0)))],
% 10.35/10.54 [refute_0_690, refute_0_693])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_695, plain,
% 10.35/10.54 (add(X_1086, X_1086) != add(X_1086, 0) | add(X_1086, 0) != X_1086 |
% 10.35/10.54 add(X_1086, X_1086) = X_1086),
% 10.35/10.54 introduced(tautology,
% 10.35/10.54 [equality,
% 10.35/10.54 [$cnf(~ $equal(add(X_1086, X_1086), X_1086)), [0],
% 10.35/10.54 $fot(add(X_1086, 0))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_696, plain,
% 10.35/10.54 (add(X_1086, X_1086) != add(X_1086, 0) | add(X_1086, X_1086) = X_1086),
% 10.35/10.54 inference(resolve, [$cnf($equal(add(X_1086, 0), X_1086))],
% 10.35/10.54 [refute_0_691, refute_0_695])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_697, plain, (add(X_1086, X_1086) = X_1086),
% 10.35/10.54 inference(resolve, [$cnf($equal(add(X_1086, X_1086), add(X_1086, 0)))],
% 10.35/10.54 [refute_0_694, refute_0_696])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_698, plain,
% 10.35/10.54 (add(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) = skolemFOFtoCNF_X17),
% 10.35/10.54 inference(subst, [],
% 10.35/10.54 [refute_0_697 : [bind(X_1086, $fot(skolemFOFtoCNF_X17))]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_699, plain,
% 10.35/10.54 (add(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) != skolemFOFtoCNF_X17 |
% 10.35/10.54 skolemFOFtoCNF_X17 != skolemFOFtoCNF_X17 |
% 10.35/10.54 add(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) = skolemFOFtoCNF_X17),
% 10.35/10.54 introduced(tautology,
% 10.35/10.54 [equality,
% 10.35/10.54 [$cnf(~ $equal(add(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17),
% 10.35/10.54 skolemFOFtoCNF_X17)), [0],
% 10.35/10.54 $fot(skolemFOFtoCNF_X17)]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_700, plain,
% 10.35/10.54 (skolemFOFtoCNF_X17 != skolemFOFtoCNF_X17 |
% 10.35/10.54 add(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) = skolemFOFtoCNF_X17),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17),
% 10.35/10.54 skolemFOFtoCNF_X17))],
% 10.35/10.54 [refute_0_698, refute_0_699])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_701, plain, (skolemFOFtoCNF_X17 != skolemFOFtoCNF_X17),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(add(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17),
% 10.35/10.54 skolemFOFtoCNF_X17))], [refute_0_700, refute_0_0])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_702, plain, (skolemFOFtoCNF_X17 = skolemFOFtoCNF_X17),
% 10.35/10.54 introduced(tautology, [refl, [$fot(skolemFOFtoCNF_X17)]])).
% 10.35/10.54
% 10.35/10.54 cnf(refute_0_703, plain, ($false),
% 10.35/10.54 inference(resolve,
% 10.35/10.54 [$cnf($equal(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17))],
% 10.35/10.54 [refute_0_702, refute_0_701])).
% 10.35/10.54 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.35/10.54
%------------------------------------------------------------------------------