TSTP Solution File: LCL898+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL898+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 12:56:50 EDT 2022
% Result : Theorem 147.32s 147.50s
% Output : CNFRefutation 147.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL898+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 2 13:42:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 147.32/147.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 147.32/147.50
% 147.32/147.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 147.32/147.51 fof(sos_01, axiom, (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C)))).
% 147.32/147.51
% 147.32/147.51 fof(sos_02, axiom, (! [A, B] : add(A, B) = add(B, A))).
% 147.32/147.51
% 147.32/147.51 fof(sos_03, axiom, (! [A] : add(A, 0) = A)).
% 147.32/147.51
% 147.32/147.51 fof(sos_04, axiom, (! [A] : greater_equal(A, A))).
% 147.32/147.51
% 147.32/147.51 fof(sos_06, axiom,
% 147.32/147.51 (! [X3, X4] :
% 147.32/147.51 ((greater_equal(X3, X4) & greater_equal(X4, X3)) => X3 = X4))).
% 147.32/147.51
% 147.32/147.51 fof(sos_07, axiom,
% 147.32/147.51 (! [X5, X6, X7] :
% 147.32/147.51 (greater_equal(add(X5, X6), X7) <=>
% 147.32/147.51 greater_equal(X6, '==>'(X5, X7))))).
% 147.32/147.51
% 147.32/147.51 fof(sos_08, axiom, (! [A] : greater_equal(A, 0))).
% 147.32/147.51
% 147.32/147.51 fof(sos_09, axiom,
% 147.32/147.51 (! [X8, X9, X10] :
% 147.32/147.51 (greater_equal(X8, X9) =>
% 147.32/147.51 greater_equal(add(X8, X10), add(X9, X10))))).
% 147.32/147.51
% 147.32/147.51 fof(sos_10, axiom,
% 147.32/147.51 (! [X11, X12, X13] :
% 147.32/147.51 (greater_equal(X11, X12) =>
% 147.32/147.51 greater_equal('==>'(X12, X13), '==>'(X11, X13))))).
% 147.32/147.51
% 147.32/147.51 fof(sos_11, axiom,
% 147.32/147.51 (! [X14, X15, X16] :
% 147.32/147.51 (greater_equal(X14, X15) =>
% 147.32/147.51 greater_equal('==>'(X16, X14), '==>'(X16, X15))))).
% 147.32/147.51
% 147.32/147.51 fof(sos_12, axiom, (! [A, B] : add(A, '==>'(A, B)) = add(B, '==>'(B, A)))).
% 147.32/147.51
% 147.32/147.51 fof(sos_13, axiom, (! [A] : '==>'('==>'(A, 1), 1) = A)).
% 147.32/147.51
% 147.32/147.51 fof(sos_14, axiom, (! [A] : add(A, 1) = 1)).
% 147.32/147.51
% 147.32/147.51 fof(goals_15, conjecture,
% 147.32/147.51 (! [X17, X18] :
% 147.32/147.51 '==>'('==>'(X17, X18), X18) = '==>'('==>'(X18, X17), X17))).
% 147.32/147.51
% 147.32/147.51 fof(subgoal_0, plain,
% 147.32/147.51 (! [X17, X18] :
% 147.32/147.51 '==>'('==>'(X17, X18), X18) = '==>'('==>'(X18, X17), X17)),
% 147.32/147.51 inference(strip, [], [goals_15])).
% 147.32/147.51
% 147.32/147.51 fof(negate_0_0, plain,
% 147.32/147.51 (~
% 147.32/147.51 ! [X17, X18] :
% 147.32/147.51 '==>'('==>'(X17, X18), X18) = '==>'('==>'(X18, X17), X17)),
% 147.32/147.51 inference(negate, [], [subgoal_0])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_0, plain,
% 147.32/147.51 (? [X17, X18] :
% 147.32/147.51 '==>'('==>'(X17, X18), X18) != '==>'('==>'(X18, X17), X17)),
% 147.32/147.51 inference(canonicalize, [], [negate_0_0])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_1, plain,
% 147.32/147.51 ('==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.32/147.51 skolemFOFtoCNF_X18) !=
% 147.32/147.51 '==>'('==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17),
% 147.32/147.51 skolemFOFtoCNF_X17)), inference(skolemize, [], [normalize_0_0])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_2, plain,
% 147.32/147.51 (! [X3, X4] :
% 147.32/147.51 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 147.32/147.51 inference(canonicalize, [], [sos_06])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_3, plain,
% 147.32/147.51 (! [X3, X4] :
% 147.32/147.51 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 147.32/147.51 inference(specialize, [], [normalize_0_2])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_4, plain,
% 147.32/147.51 (! [X5, X6, X7] :
% 147.32/147.51 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 147.32/147.51 ~ greater_equal(add(X5, X6), X7))),
% 147.32/147.51 inference(canonicalize, [], [sos_07])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_5, plain,
% 147.32/147.51 (! [X5, X6, X7] :
% 147.32/147.51 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 147.32/147.51 ~ greater_equal(add(X5, X6), X7))),
% 147.32/147.51 inference(specialize, [], [normalize_0_4])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_6, plain,
% 147.32/147.51 (! [X5, X6, X7] :
% 147.32/147.51 ((~ greater_equal(X6, '==>'(X5, X7)) |
% 147.32/147.51 greater_equal(add(X5, X6), X7)) &
% 147.32/147.51 (~ greater_equal(add(X5, X6), X7) |
% 147.32/147.51 greater_equal(X6, '==>'(X5, X7))))),
% 147.32/147.51 inference(clausify, [], [normalize_0_5])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_7, plain,
% 147.32/147.51 (! [X5, X6, X7] :
% 147.32/147.51 (~ greater_equal(add(X5, X6), X7) |
% 147.32/147.51 greater_equal(X6, '==>'(X5, X7)))),
% 147.32/147.51 inference(conjunct, [], [normalize_0_6])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_8, plain, (! [A] : greater_equal(A, 0)),
% 147.32/147.51 inference(canonicalize, [], [sos_08])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_9, plain, (! [A] : greater_equal(A, 0)),
% 147.32/147.51 inference(specialize, [], [normalize_0_8])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_10, plain,
% 147.32/147.51 (! [X8, X9] :
% 147.32/147.51 (~ greater_equal(X8, X9) |
% 147.32/147.51 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 147.32/147.51 inference(canonicalize, [], [sos_09])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_11, plain,
% 147.32/147.51 (! [X8, X9] :
% 147.32/147.51 (~ greater_equal(X8, X9) |
% 147.32/147.51 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 147.32/147.51 inference(specialize, [], [normalize_0_10])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_12, plain,
% 147.32/147.51 (! [X10, X8, X9] :
% 147.32/147.51 (~ greater_equal(X8, X9) |
% 147.32/147.51 greater_equal(add(X8, X10), add(X9, X10)))),
% 147.32/147.51 inference(clausify, [], [normalize_0_11])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_13, plain, (! [A] : add(A, 0) = A),
% 147.32/147.51 inference(canonicalize, [], [sos_03])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_14, plain, (! [A] : add(A, 0) = A),
% 147.32/147.51 inference(specialize, [], [normalize_0_13])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_15, plain, (! [A, B] : add(A, B) = add(B, A)),
% 147.32/147.51 inference(canonicalize, [], [sos_02])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_16, plain, (! [A, B] : add(A, B) = add(B, A)),
% 147.32/147.51 inference(specialize, [], [normalize_0_15])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_17, plain,
% 147.32/147.51 (! [A, B] : add(A, '==>'(A, B)) = add(B, '==>'(B, A))),
% 147.32/147.51 inference(canonicalize, [], [sos_12])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_18, plain,
% 147.32/147.51 (! [A, B] : add(A, '==>'(A, B)) = add(B, '==>'(B, A))),
% 147.32/147.51 inference(specialize, [], [normalize_0_17])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_19, plain,
% 147.32/147.51 (! [X5, X6, X7] :
% 147.32/147.51 (~ greater_equal(X6, '==>'(X5, X7)) |
% 147.32/147.51 greater_equal(add(X5, X6), X7))),
% 147.32/147.51 inference(conjunct, [], [normalize_0_6])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_20, plain,
% 147.32/147.51 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 147.32/147.51 inference(canonicalize, [], [sos_01])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_21, plain,
% 147.32/147.51 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 147.32/147.51 inference(specialize, [], [normalize_0_20])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_22, plain, (! [A] : greater_equal(A, A)),
% 147.32/147.51 inference(canonicalize, [], [sos_04])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_23, plain, (! [A] : greater_equal(A, A)),
% 147.32/147.51 inference(specialize, [], [normalize_0_22])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_24, plain,
% 147.32/147.51 (! [X14, X15] :
% 147.32/147.51 (~ greater_equal(X14, X15) |
% 147.32/147.51 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 147.32/147.51 inference(canonicalize, [], [sos_11])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_25, plain,
% 147.32/147.51 (! [X14, X15] :
% 147.32/147.51 (~ greater_equal(X14, X15) |
% 147.32/147.51 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 147.32/147.51 inference(specialize, [], [normalize_0_24])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_26, plain,
% 147.32/147.51 (! [X14, X15, X16] :
% 147.32/147.51 (~ greater_equal(X14, X15) |
% 147.32/147.51 greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 147.32/147.51 inference(clausify, [], [normalize_0_25])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_27, plain,
% 147.32/147.51 (! [X11, X12] :
% 147.32/147.51 (~ greater_equal(X11, X12) |
% 147.32/147.51 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 147.32/147.51 inference(canonicalize, [], [sos_10])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_28, plain,
% 147.32/147.51 (! [X11, X12] :
% 147.32/147.51 (~ greater_equal(X11, X12) |
% 147.32/147.51 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 147.32/147.51 inference(specialize, [], [normalize_0_27])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_29, plain,
% 147.32/147.51 (! [X11, X12, X13] :
% 147.32/147.51 (~ greater_equal(X11, X12) |
% 147.32/147.51 greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 147.32/147.51 inference(clausify, [], [normalize_0_28])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_30, plain, (! [A] : add(A, 1) = 1),
% 147.32/147.51 inference(canonicalize, [], [sos_14])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_31, plain, (! [A] : add(A, 1) = 1),
% 147.32/147.51 inference(specialize, [], [normalize_0_30])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_32, plain, (! [A] : '==>'('==>'(A, 1), 1) = A),
% 147.32/147.51 inference(canonicalize, [], [sos_13])).
% 147.32/147.51
% 147.32/147.51 fof(normalize_0_33, plain, (! [A] : '==>'('==>'(A, 1), 1) = A),
% 147.32/147.51 inference(specialize, [], [normalize_0_32])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_0, plain,
% 147.32/147.51 ('==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.32/147.51 skolemFOFtoCNF_X18) !=
% 147.32/147.51 '==>'('==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17),
% 147.32/147.51 skolemFOFtoCNF_X17)), inference(canonicalize, [], [normalize_0_1])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_1, plain,
% 147.32/147.51 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_3])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_2, plain,
% 147.32/147.51 (~
% 147.32/147.51 greater_equal('==>'('==>'(X_2375, X_2376), X_2376),
% 147.32/147.51 '==>'('==>'(X_2376, X_2375), X_2375)) |
% 147.32/147.51 ~
% 147.32/147.51 greater_equal('==>'('==>'(X_2376, X_2375), X_2375),
% 147.32/147.51 '==>'('==>'(X_2375, X_2376), X_2376)) |
% 147.32/147.51 '==>'('==>'(X_2375, X_2376), X_2376) =
% 147.32/147.51 '==>'('==>'(X_2376, X_2375), X_2375)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_1 :
% 147.32/147.51 [bind(X3, $fot('==>'('==>'(X_2375, X_2376), X_2376))),
% 147.32/147.51 bind(X4, $fot('==>'('==>'(X_2376, X_2375), X_2375)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_3, plain,
% 147.32/147.51 (~ greater_equal(add(X5, X6), X7) | greater_equal(X6, '==>'(X5, X7))),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_7])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_4, plain,
% 147.32/147.51 (~
% 147.32/147.51 greater_equal(add(X_1109,
% 147.32/147.51 add(X_1110, '==>'(X_1109, '==>'(X_1110, X_1111)))), X_1111) |
% 147.32/147.51 greater_equal(add(X_1110, '==>'(X_1109, '==>'(X_1110, X_1111))),
% 147.32/147.51 '==>'(X_1109, X_1111))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_3 :
% 147.32/147.51 [bind(X5, $fot(X_1109)),
% 147.32/147.51 bind(X6,
% 147.32/147.51 $fot(add(X_1110,
% 147.32/147.51 '==>'(X_1109, '==>'(X_1110, X_1111))))),
% 147.32/147.51 bind(X7, $fot(X_1111))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_5, plain, (greater_equal(A, 0)),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_9])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_6, plain, (greater_equal(X_98, 0)),
% 147.32/147.51 inference(subst, [], [refute_0_5 : [bind(A, $fot(X_98))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_7, plain,
% 147.32/147.51 (~ greater_equal(X8, X9) | greater_equal(add(X8, X10), add(X9, X10))),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_12])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_8, plain,
% 147.32/147.51 (~ greater_equal(X_98, 0) |
% 147.32/147.51 greater_equal(add(X_98, X_97), add(0, X_97))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_7 :
% 147.32/147.51 [bind(X10, $fot(X_97)), bind(X8, $fot(X_98)),
% 147.32/147.51 bind(X9, $fot(0))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_9, plain, (greater_equal(add(X_98, X_97), add(0, X_97))),
% 147.32/147.51 inference(resolve, [$cnf(greater_equal(X_98, 0))],
% 147.32/147.51 [refute_0_6, refute_0_8])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_10, plain, (add(A, 0) = A),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_14])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_11, plain, (add(A, B) = add(B, A)),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_16])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_12, plain, (add(A, 0) = add(0, A)),
% 147.32/147.51 inference(subst, [], [refute_0_11 : [bind(B, $fot(0))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_13, plain,
% 147.32/147.51 (add(A, 0) != A | add(A, 0) != add(0, A) | add(0, A) = A),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal(add(A, 0), A)), [0], $fot(add(0, A))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_14, plain, (add(A, 0) != A | add(0, A) = A),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(A, 0), add(0, A)))],
% 147.32/147.51 [refute_0_12, refute_0_13])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_15, plain, (add(0, A) = A),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(A, 0), A))],
% 147.32/147.51 [refute_0_10, refute_0_14])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_16, plain, (add(0, X_97) = X_97),
% 147.32/147.51 inference(subst, [], [refute_0_15 : [bind(A, $fot(X_97))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_17, plain,
% 147.32/147.51 (add(0, X_97) != X_97 |
% 147.32/147.51 ~ greater_equal(add(X_98, X_97), add(0, X_97)) |
% 147.32/147.51 greater_equal(add(X_98, X_97), X_97)),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf(greater_equal(add(X_98, X_97), add(0, X_97))), [1],
% 147.32/147.51 $fot(X_97)]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_18, plain,
% 147.32/147.51 (~ greater_equal(add(X_98, X_97), add(0, X_97)) |
% 147.32/147.51 greater_equal(add(X_98, X_97), X_97)),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(0, X_97), X_97))],
% 147.32/147.51 [refute_0_16, refute_0_17])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_19, plain, (greater_equal(add(X_98, X_97), X_97)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(add(X_98, X_97), add(0, X_97)))],
% 147.32/147.51 [refute_0_9, refute_0_18])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_20, plain, (greater_equal(add(X_101, X_100), X_100)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_19 :
% 147.32/147.51 [bind(X_97, $fot(X_100)), bind(X_98, $fot(X_101))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_21, plain, (add(X_100, X_101) = add(X_101, X_100)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_11 :
% 147.32/147.51 [bind(A, $fot(X_100)), bind(B, $fot(X_101))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_22, plain, (X = X), introduced(tautology, [refl, [$fot(X)]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_23, plain, (X != X | X != Y | Y = X),
% 147.32/147.51 introduced(tautology, [equality, [$cnf($equal(X, X)), [0], $fot(Y)]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_24, plain, (X != Y | Y = X),
% 147.32/147.51 inference(resolve, [$cnf($equal(X, X))], [refute_0_22, refute_0_23])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_25, plain,
% 147.32/147.51 (add(X_100, X_101) != add(X_101, X_100) |
% 147.32/147.51 add(X_101, X_100) = add(X_100, X_101)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_24 :
% 147.32/147.51 [bind(X, $fot(add(X_100, X_101))),
% 147.32/147.51 bind(Y, $fot(add(X_101, X_100)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_26, plain, (add(X_101, X_100) = add(X_100, X_101)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_100, X_101), add(X_101, X_100)))],
% 147.32/147.51 [refute_0_21, refute_0_25])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_27, plain,
% 147.32/147.51 (add(X_101, X_100) != add(X_100, X_101) |
% 147.32/147.51 ~ greater_equal(add(X_101, X_100), X_100) |
% 147.32/147.51 greater_equal(add(X_100, X_101), X_100)),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf(greater_equal(add(X_101, X_100), X_100)), [0],
% 147.32/147.51 $fot(add(X_100, X_101))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_28, plain,
% 147.32/147.51 (~ greater_equal(add(X_101, X_100), X_100) |
% 147.32/147.51 greater_equal(add(X_100, X_101), X_100)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_101, X_100), add(X_100, X_101)))],
% 147.32/147.51 [refute_0_26, refute_0_27])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_29, plain, (greater_equal(add(X_100, X_101), X_100)),
% 147.32/147.51 inference(resolve, [$cnf(greater_equal(add(X_101, X_100), X_100))],
% 147.32/147.51 [refute_0_20, refute_0_28])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_30, plain,
% 147.32/147.51 (greater_equal(add(X_106, '==>'(X_106, A)), X_106)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_29 :
% 147.32/147.51 [bind(X_100, $fot(X_106)),
% 147.32/147.51 bind(X_101, $fot('==>'(X_106, A)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_31, plain, (add(A, '==>'(A, B)) = add(B, '==>'(B, A))),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_18])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_32, plain,
% 147.32/147.51 (add(A, '==>'(A, X_106)) = add(X_106, '==>'(X_106, A))),
% 147.32/147.51 inference(subst, [], [refute_0_31 : [bind(B, $fot(X_106))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_33, plain,
% 147.32/147.51 (add(A, '==>'(A, X_106)) != add(X_106, '==>'(X_106, A)) |
% 147.32/147.51 add(X_106, '==>'(X_106, A)) = add(A, '==>'(A, X_106))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_24 :
% 147.32/147.51 [bind(X, $fot(add(A, '==>'(A, X_106)))),
% 147.32/147.51 bind(Y, $fot(add(X_106, '==>'(X_106, A))))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_34, plain,
% 147.32/147.51 (add(X_106, '==>'(X_106, A)) = add(A, '==>'(A, X_106))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(A, '==>'(A, X_106)),
% 147.32/147.51 add(X_106, '==>'(X_106, A))))],
% 147.32/147.51 [refute_0_32, refute_0_33])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_35, plain,
% 147.32/147.51 (add(X_106, '==>'(X_106, A)) != add(A, '==>'(A, X_106)) |
% 147.32/147.51 ~ greater_equal(add(X_106, '==>'(X_106, A)), X_106) |
% 147.32/147.51 greater_equal(add(A, '==>'(A, X_106)), X_106)),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf(greater_equal(add(X_106, '==>'(X_106, A)), X_106)),
% 147.32/147.51 [0], $fot(add(A, '==>'(A, X_106)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_36, plain,
% 147.32/147.51 (~ greater_equal(add(X_106, '==>'(X_106, A)), X_106) |
% 147.32/147.51 greater_equal(add(A, '==>'(A, X_106)), X_106)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_106, '==>'(X_106, A)),
% 147.32/147.51 add(A, '==>'(A, X_106))))],
% 147.32/147.51 [refute_0_34, refute_0_35])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_37, plain, (greater_equal(add(A, '==>'(A, X_106)), X_106)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(add(X_106, '==>'(X_106, A)), X_106))],
% 147.32/147.51 [refute_0_30, refute_0_36])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_38, plain,
% 147.32/147.51 (greater_equal(add(A, '==>'(A, '==>'(X_293, X_295))),
% 147.32/147.51 '==>'(X_293, X_295))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_37 : [bind(X_106, $fot('==>'(X_293, X_295)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_39, plain,
% 147.32/147.51 (~ greater_equal(X6, '==>'(X5, X7)) | greater_equal(add(X5, X6), X7)),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_19])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_40, plain,
% 147.32/147.51 (~
% 147.32/147.51 greater_equal(add(A, '==>'(A, '==>'(X_293, X_295))),
% 147.32/147.51 '==>'(X_293, X_295)) |
% 147.32/147.51 greater_equal(add(X_293, add(A, '==>'(A, '==>'(X_293, X_295)))),
% 147.32/147.51 X_295)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_39 :
% 147.32/147.51 [bind(X5, $fot(X_293)),
% 147.32/147.51 bind(X6, $fot(add(A, '==>'(A, '==>'(X_293, X_295))))),
% 147.32/147.51 bind(X7, $fot(X_295))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_41, plain,
% 147.32/147.51 (greater_equal(add(X_293, add(A, '==>'(A, '==>'(X_293, X_295)))),
% 147.32/147.51 X_295)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(add(A, '==>'(A, '==>'(X_293, X_295))),
% 147.32/147.51 '==>'(X_293, X_295)))], [refute_0_38, refute_0_40])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_42, plain,
% 147.32/147.51 (greater_equal(add(X_786,
% 147.32/147.51 add(X_785, '==>'(X_785, '==>'(X_786, X_787)))), X_787)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_41 :
% 147.32/147.51 [bind(A, $fot(X_785)), bind(X_293, $fot(X_786)),
% 147.32/147.51 bind(X_295, $fot(X_787))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_43, plain, (add(add(A, B), C) = add(A, add(B, C))),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_21])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_44, plain,
% 147.32/147.51 (add(add(X_13, X_14), X_15) = add(X_13, add(X_14, X_15))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_43 :
% 147.32/147.51 [bind(A, $fot(X_13)), bind(B, $fot(X_14)),
% 147.32/147.51 bind(C, $fot(X_15))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_45, plain, (add(X_14, X_13) = add(X_13, X_14)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_11 : [bind(A, $fot(X_14)), bind(B, $fot(X_13))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_46, plain,
% 147.32/147.51 (add(X_14, X_13) != add(X_13, X_14) |
% 147.32/147.51 add(X_13, X_14) = add(X_14, X_13)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_24 :
% 147.32/147.51 [bind(X, $fot(add(X_14, X_13))),
% 147.32/147.51 bind(Y, $fot(add(X_13, X_14)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_47, plain, (add(X_13, X_14) = add(X_14, X_13)),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(X_14, X_13), add(X_13, X_14)))],
% 147.32/147.51 [refute_0_45, refute_0_46])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_48, plain,
% 147.32/147.51 (add(X_13, X_14) != add(X_14, X_13) |
% 147.32/147.51 add(add(X_13, X_14), X_15) != add(X_13, add(X_14, X_15)) |
% 147.32/147.51 add(add(X_14, X_13), X_15) = add(X_13, add(X_14, X_15))),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal(add(add(X_13, X_14), X_15),
% 147.32/147.51 add(X_13, add(X_14, X_15)))), [0, 0],
% 147.32/147.51 $fot(add(X_14, X_13))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_49, plain,
% 147.32/147.51 (add(add(X_13, X_14), X_15) != add(X_13, add(X_14, X_15)) |
% 147.32/147.51 add(add(X_14, X_13), X_15) = add(X_13, add(X_14, X_15))),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(X_13, X_14), add(X_14, X_13)))],
% 147.32/147.51 [refute_0_47, refute_0_48])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_50, plain,
% 147.32/147.51 (add(add(X_14, X_13), X_15) = add(X_13, add(X_14, X_15))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(add(X_13, X_14), X_15),
% 147.32/147.51 add(X_13, add(X_14, X_15))))],
% 147.32/147.51 [refute_0_44, refute_0_49])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_51, plain,
% 147.32/147.51 (add(add(X_14, X_13), X_15) = add(X_14, add(X_13, X_15))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_43 :
% 147.32/147.51 [bind(A, $fot(X_14)), bind(B, $fot(X_13)),
% 147.32/147.51 bind(C, $fot(X_15))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_52, plain,
% 147.32/147.51 (add(add(X_14, X_13), X_15) != add(X_13, add(X_14, X_15)) |
% 147.32/147.51 add(add(X_14, X_13), X_15) != add(X_14, add(X_13, X_15)) |
% 147.32/147.51 add(X_14, add(X_13, X_15)) = add(X_13, add(X_14, X_15))),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal(add(add(X_14, X_13), X_15),
% 147.32/147.51 add(X_13, add(X_14, X_15)))), [0],
% 147.32/147.51 $fot(add(X_14, add(X_13, X_15)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_53, plain,
% 147.32/147.51 (add(add(X_14, X_13), X_15) != add(X_13, add(X_14, X_15)) |
% 147.32/147.51 add(X_14, add(X_13, X_15)) = add(X_13, add(X_14, X_15))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(add(X_14, X_13), X_15),
% 147.32/147.51 add(X_14, add(X_13, X_15))))],
% 147.32/147.51 [refute_0_51, refute_0_52])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_54, plain,
% 147.32/147.51 (add(X_14, add(X_13, X_15)) = add(X_13, add(X_14, X_15))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(add(X_14, X_13), X_15),
% 147.32/147.51 add(X_13, add(X_14, X_15))))],
% 147.32/147.51 [refute_0_50, refute_0_53])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_55, plain,
% 147.32/147.51 (add(X_785, add(X_786, '==>'(X_785, '==>'(X_786, X_787)))) =
% 147.32/147.51 add(X_786, add(X_785, '==>'(X_785, '==>'(X_786, X_787))))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_54 :
% 147.32/147.51 [bind(X_13, $fot(X_786)), bind(X_14, $fot(X_785)),
% 147.32/147.51 bind(X_15, $fot('==>'(X_785, '==>'(X_786, X_787))))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_56, plain,
% 147.32/147.51 (add(X_785, add(X_786, '==>'(X_785, '==>'(X_786, X_787)))) !=
% 147.32/147.51 add(X_786, add(X_785, '==>'(X_785, '==>'(X_786, X_787)))) |
% 147.32/147.51 add(X_786, add(X_785, '==>'(X_785, '==>'(X_786, X_787)))) =
% 147.32/147.51 add(X_785, add(X_786, '==>'(X_785, '==>'(X_786, X_787))))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_24 :
% 147.32/147.51 [bind(X,
% 147.32/147.51 $fot(add(X_785,
% 147.32/147.51 add(X_786,
% 147.32/147.51 '==>'(X_785, '==>'(X_786, X_787)))))),
% 147.32/147.51 bind(Y,
% 147.32/147.51 $fot(add(X_786,
% 147.32/147.51 add(X_785,
% 147.32/147.51 '==>'(X_785, '==>'(X_786, X_787))))))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_57, plain,
% 147.32/147.51 (add(X_786, add(X_785, '==>'(X_785, '==>'(X_786, X_787)))) =
% 147.32/147.51 add(X_785, add(X_786, '==>'(X_785, '==>'(X_786, X_787))))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_785,
% 147.32/147.51 add(X_786, '==>'(X_785, '==>'(X_786, X_787)))),
% 147.32/147.51 add(X_786,
% 147.32/147.51 add(X_785, '==>'(X_785, '==>'(X_786, X_787))))))],
% 147.32/147.51 [refute_0_55, refute_0_56])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_58, plain,
% 147.32/147.51 (add(X_786, add(X_785, '==>'(X_785, '==>'(X_786, X_787)))) !=
% 147.32/147.51 add(X_785, add(X_786, '==>'(X_785, '==>'(X_786, X_787)))) |
% 147.32/147.51 ~
% 147.32/147.51 greater_equal(add(X_786,
% 147.32/147.51 add(X_785, '==>'(X_785, '==>'(X_786, X_787)))), X_787) |
% 147.32/147.51 greater_equal(add(X_785,
% 147.32/147.51 add(X_786, '==>'(X_785, '==>'(X_786, X_787)))), X_787)),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf(greater_equal(add(X_786,
% 147.32/147.51 add(X_785, '==>'(X_785, '==>'(X_786, X_787)))),
% 147.32/147.51 X_787)), [0],
% 147.32/147.51 $fot(add(X_785,
% 147.32/147.51 add(X_786,
% 147.32/147.51 '==>'(X_785, '==>'(X_786, X_787)))))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_59, plain,
% 147.32/147.51 (~
% 147.32/147.51 greater_equal(add(X_786,
% 147.32/147.51 add(X_785, '==>'(X_785, '==>'(X_786, X_787)))), X_787) |
% 147.32/147.51 greater_equal(add(X_785,
% 147.32/147.51 add(X_786, '==>'(X_785, '==>'(X_786, X_787)))), X_787)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_786,
% 147.32/147.51 add(X_785, '==>'(X_785, '==>'(X_786, X_787)))),
% 147.32/147.51 add(X_785,
% 147.32/147.51 add(X_786, '==>'(X_785, '==>'(X_786, X_787))))))],
% 147.32/147.51 [refute_0_57, refute_0_58])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_60, plain,
% 147.32/147.51 (greater_equal(add(X_785,
% 147.32/147.51 add(X_786, '==>'(X_785, '==>'(X_786, X_787)))), X_787)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(add(X_786,
% 147.32/147.51 add(X_785, '==>'(X_785, '==>'(X_786, X_787)))),
% 147.32/147.51 X_787))], [refute_0_42, refute_0_59])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_61, plain,
% 147.32/147.51 (greater_equal(add(X_1109,
% 147.32/147.51 add(X_1110, '==>'(X_1109, '==>'(X_1110, X_1111)))), X_1111)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_60 :
% 147.32/147.51 [bind(X_785, $fot(X_1109)), bind(X_786, $fot(X_1110)),
% 147.32/147.51 bind(X_787, $fot(X_1111))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_62, plain,
% 147.32/147.51 (greater_equal(add(X_1110, '==>'(X_1109, '==>'(X_1110, X_1111))),
% 147.32/147.51 '==>'(X_1109, X_1111))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(add(X_1109,
% 147.32/147.51 add(X_1110, '==>'(X_1109, '==>'(X_1110, X_1111)))),
% 147.32/147.51 X_1111))], [refute_0_61, refute_0_4])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_63, plain,
% 147.32/147.51 (greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616),
% 147.32/147.51 '==>'('==>'(X_1616, X_2374),
% 147.32/147.51 '==>'('==>'('==>'(X_2374, X_1616), X_1616), X_2374))),
% 147.32/147.51 '==>'('==>'(X_1616, X_2374), X_2374))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_62 :
% 147.32/147.51 [bind(X_1109, $fot('==>'(X_1616, X_2374))),
% 147.32/147.51 bind(X_1110, $fot('==>'('==>'(X_2374, X_1616), X_1616))),
% 147.32/147.51 bind(X_1111, $fot(X_2374))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_64, plain, (greater_equal(X_675, 0)),
% 147.32/147.51 inference(subst, [], [refute_0_5 : [bind(A, $fot(X_675))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_65, plain,
% 147.32/147.51 (~ greater_equal(X_675, 0) | ~ greater_equal(0, X_675) | X_675 = 0),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_1 : [bind(X3, $fot(X_675)), bind(X4, $fot(0))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_66, plain, (~ greater_equal(0, X_675) | X_675 = 0),
% 147.32/147.51 inference(resolve, [$cnf(greater_equal(X_675, 0))],
% 147.32/147.51 [refute_0_64, refute_0_65])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_67, plain,
% 147.32/147.51 (~ greater_equal(0, '==>'(X_710, '==>'(X_709, add(X_710, X_709)))) |
% 147.32/147.51 '==>'(X_710, '==>'(X_709, add(X_710, X_709))) = 0),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_66 :
% 147.32/147.51 [bind(X_675,
% 147.32/147.51 $fot('==>'(X_710,
% 147.32/147.51 '==>'(X_709, add(X_710, X_709)))))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_68, plain, (greater_equal(A, A)),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_23])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_69, plain,
% 147.32/147.51 (greater_equal(add(X_379, X_380), add(X_379, X_380))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_68 : [bind(A, $fot(add(X_379, X_380)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_70, plain,
% 147.32/147.51 (~ greater_equal(add(X_379, X_380), add(X_379, X_380)) |
% 147.32/147.51 greater_equal(X_380, '==>'(X_379, add(X_379, X_380)))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_3 :
% 147.32/147.51 [bind(X5, $fot(X_379)), bind(X6, $fot(X_380)),
% 147.32/147.51 bind(X7, $fot(add(X_379, X_380)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_71, plain,
% 147.32/147.51 (greater_equal(X_380, '==>'(X_379, add(X_379, X_380)))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(add(X_379, X_380), add(X_379, X_380)))],
% 147.32/147.51 [refute_0_69, refute_0_70])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_72, plain,
% 147.32/147.51 (greater_equal(X_387, '==>'(X_386, add(X_386, X_387)))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_71 :
% 147.32/147.51 [bind(X_379, $fot(X_386)), bind(X_380, $fot(X_387))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_73, plain, (add(X_387, X_386) = add(X_386, X_387)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_11 :
% 147.32/147.51 [bind(A, $fot(X_387)), bind(B, $fot(X_386))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_74, plain,
% 147.32/147.51 (add(X_387, X_386) != add(X_386, X_387) |
% 147.32/147.51 add(X_386, X_387) = add(X_387, X_386)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_24 :
% 147.32/147.51 [bind(X, $fot(add(X_387, X_386))),
% 147.32/147.51 bind(Y, $fot(add(X_386, X_387)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_75, plain, (add(X_386, X_387) = add(X_387, X_386)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_387, X_386), add(X_386, X_387)))],
% 147.32/147.51 [refute_0_73, refute_0_74])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_76, plain,
% 147.32/147.51 (add(X_386, X_387) != add(X_387, X_386) |
% 147.32/147.51 ~ greater_equal(X_387, '==>'(X_386, add(X_386, X_387))) |
% 147.32/147.51 greater_equal(X_387, '==>'(X_386, add(X_387, X_386)))),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf(greater_equal(X_387,
% 147.32/147.51 '==>'(X_386, add(X_386, X_387)))), [1, 1],
% 147.32/147.51 $fot(add(X_387, X_386))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_77, plain,
% 147.32/147.51 (~ greater_equal(X_387, '==>'(X_386, add(X_386, X_387))) |
% 147.32/147.51 greater_equal(X_387, '==>'(X_386, add(X_387, X_386)))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_386, X_387), add(X_387, X_386)))],
% 147.32/147.51 [refute_0_75, refute_0_76])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_78, plain,
% 147.32/147.51 (greater_equal(X_387, '==>'(X_386, add(X_387, X_386)))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(X_387,
% 147.32/147.51 '==>'(X_386, add(X_386, X_387))))],
% 147.32/147.51 [refute_0_72, refute_0_77])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_79, plain,
% 147.32/147.51 (greater_equal(X_591, '==>'(X_386, add(X_591, X_386)))),
% 147.32/147.51 inference(subst, [], [refute_0_78 : [bind(X_387, $fot(X_591))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_80, plain,
% 147.32/147.51 (~ greater_equal(X14, X15) |
% 147.32/147.51 greater_equal('==>'(X16, X14), '==>'(X16, X15))),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_26])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_81, plain,
% 147.32/147.51 (~ greater_equal(X_591, '==>'(X_386, add(X_591, X_386))) |
% 147.32/147.51 greater_equal('==>'(X_593, X_591),
% 147.32/147.51 '==>'(X_593, '==>'(X_386, add(X_591, X_386))))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_80 :
% 147.32/147.51 [bind(X14, $fot(X_591)),
% 147.32/147.51 bind(X15, $fot('==>'(X_386, add(X_591, X_386)))),
% 147.32/147.51 bind(X16, $fot(X_593))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_82, plain,
% 147.32/147.51 (greater_equal('==>'(X_593, X_591),
% 147.32/147.51 '==>'(X_593, '==>'(X_386, add(X_591, X_386))))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(X_591,
% 147.32/147.51 '==>'(X_386, add(X_591, X_386))))],
% 147.32/147.51 [refute_0_79, refute_0_81])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_83, plain,
% 147.32/147.51 (greater_equal('==>'(X_591, X_591),
% 147.32/147.51 '==>'(X_591, '==>'(X_386, add(X_591, X_386))))),
% 147.32/147.51 inference(subst, [], [refute_0_82 : [bind(X_593, $fot(X_591))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_84, plain,
% 147.32/147.51 (greater_equal(add(X_106, '==>'(X_106, 0)), X_106)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_29 :
% 147.32/147.51 [bind(X_100, $fot(X_106)),
% 147.32/147.51 bind(X_101, $fot('==>'(X_106, 0)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_85, plain, (add(0, '==>'(0, X_10)) = '==>'(0, X_10)),
% 147.32/147.51 inference(subst, [], [refute_0_15 : [bind(A, $fot('==>'(0, X_10)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_86, plain,
% 147.32/147.51 (add(0, '==>'(0, X_10)) = add(X_10, '==>'(X_10, 0))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_31 : [bind(A, $fot(0)), bind(B, $fot(X_10))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_87, plain,
% 147.32/147.51 (add(0, '==>'(0, X_10)) != add(X_10, '==>'(X_10, 0)) |
% 147.32/147.51 add(0, '==>'(0, X_10)) != '==>'(0, X_10) |
% 147.32/147.51 add(X_10, '==>'(X_10, 0)) = '==>'(0, X_10)),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal(add(0, '==>'(0, X_10)), '==>'(0, X_10))), [0],
% 147.32/147.51 $fot(add(X_10, '==>'(X_10, 0)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_88, plain,
% 147.32/147.51 (add(0, '==>'(0, X_10)) != '==>'(0, X_10) |
% 147.32/147.51 add(X_10, '==>'(X_10, 0)) = '==>'(0, X_10)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(0, '==>'(0, X_10)),
% 147.32/147.51 add(X_10, '==>'(X_10, 0))))],
% 147.32/147.51 [refute_0_86, refute_0_87])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_89, plain, (add(X_10, '==>'(X_10, 0)) = '==>'(0, X_10)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(0, '==>'(0, X_10)), '==>'(0, X_10)))],
% 147.32/147.51 [refute_0_85, refute_0_88])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_90, plain, (add(X_106, '==>'(X_106, 0)) = '==>'(0, X_106)),
% 147.32/147.51 inference(subst, [], [refute_0_89 : [bind(X_10, $fot(X_106))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_91, plain,
% 147.32/147.51 (add(X_106, '==>'(X_106, 0)) != '==>'(0, X_106) |
% 147.32/147.51 ~ greater_equal(add(X_106, '==>'(X_106, 0)), X_106) |
% 147.32/147.51 greater_equal('==>'(0, X_106), X_106)),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf(greater_equal(add(X_106, '==>'(X_106, 0)), X_106)),
% 147.32/147.51 [0], $fot('==>'(0, X_106))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_92, plain,
% 147.32/147.51 (~ greater_equal(add(X_106, '==>'(X_106, 0)), X_106) |
% 147.32/147.51 greater_equal('==>'(0, X_106), X_106)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_106, '==>'(X_106, 0)), '==>'(0, X_106)))],
% 147.32/147.51 [refute_0_90, refute_0_91])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_93, plain, (greater_equal('==>'(0, X_106), X_106)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(add(X_106, '==>'(X_106, 0)), X_106))],
% 147.32/147.51 [refute_0_84, refute_0_92])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_94, plain, (greater_equal('==>'(0, X_179), X_179)),
% 147.32/147.51 inference(subst, [], [refute_0_93 : [bind(X_106, $fot(X_179))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_95, plain,
% 147.32/147.51 (~ greater_equal(X11, X12) |
% 147.32/147.51 greater_equal('==>'(X12, X13), '==>'(X11, X13))),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_29])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_96, plain,
% 147.32/147.51 (~ greater_equal('==>'(0, X_179), X_179) |
% 147.32/147.51 greater_equal('==>'(X_179, X_180), '==>'('==>'(0, X_179), X_180))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_95 :
% 147.32/147.51 [bind(X11, $fot('==>'(0, X_179))), bind(X12, $fot(X_179)),
% 147.32/147.51 bind(X13, $fot(X_180))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_97, plain,
% 147.32/147.51 (greater_equal('==>'(X_179, X_180), '==>'('==>'(0, X_179), X_180))),
% 147.32/147.51 inference(resolve, [$cnf(greater_equal('==>'(0, X_179), X_179))],
% 147.32/147.51 [refute_0_94, refute_0_96])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_98, plain,
% 147.32/147.51 (greater_equal('==>'(X_179, X_295), '==>'('==>'(0, X_179), X_295))),
% 147.32/147.51 inference(subst, [], [refute_0_97 : [bind(X_180, $fot(X_295))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_99, plain,
% 147.32/147.51 (~ greater_equal('==>'(X_179, X_295), '==>'('==>'(0, X_179), X_295)) |
% 147.32/147.51 greater_equal(add('==>'(0, X_179), '==>'(X_179, X_295)), X_295)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_39 :
% 147.32/147.51 [bind(X5, $fot('==>'(0, X_179))),
% 147.32/147.51 bind(X6, $fot('==>'(X_179, X_295))),
% 147.32/147.51 bind(X7, $fot(X_295))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_100, plain,
% 147.32/147.51 (greater_equal(add('==>'(0, X_179), '==>'(X_179, X_295)), X_295)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal('==>'(X_179, X_295),
% 147.32/147.51 '==>'('==>'(0, X_179), X_295)))],
% 147.32/147.51 [refute_0_98, refute_0_99])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_101, plain,
% 147.32/147.51 (greater_equal(add('==>'(0, X_298), '==>'(X_298, X_299)), X_299)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_100 :
% 147.32/147.51 [bind(X_179, $fot(X_298)), bind(X_295, $fot(X_299))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_102, plain,
% 147.32/147.51 (add('==>'(X_298, X_299), '==>'(0, X_298)) =
% 147.32/147.51 add('==>'(0, X_298), '==>'(X_298, X_299))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_11 :
% 147.32/147.51 [bind(A, $fot('==>'(X_298, X_299))),
% 147.32/147.51 bind(B, $fot('==>'(0, X_298)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_103, plain,
% 147.32/147.51 (add('==>'(X_298, X_299), '==>'(0, X_298)) !=
% 147.32/147.51 add('==>'(0, X_298), '==>'(X_298, X_299)) |
% 147.32/147.51 add('==>'(0, X_298), '==>'(X_298, X_299)) =
% 147.32/147.51 add('==>'(X_298, X_299), '==>'(0, X_298))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_24 :
% 147.32/147.51 [bind(X, $fot(add('==>'(X_298, X_299), '==>'(0, X_298)))),
% 147.32/147.51 bind(Y,
% 147.32/147.51 $fot(add('==>'(0, X_298), '==>'(X_298, X_299))))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_104, plain,
% 147.32/147.51 (add('==>'(0, X_298), '==>'(X_298, X_299)) =
% 147.32/147.51 add('==>'(X_298, X_299), '==>'(0, X_298))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add('==>'(X_298, X_299), '==>'(0, X_298)),
% 147.32/147.51 add('==>'(0, X_298), '==>'(X_298, X_299))))],
% 147.32/147.51 [refute_0_102, refute_0_103])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_105, plain,
% 147.32/147.51 (add('==>'(0, X_298), '==>'(X_298, X_299)) !=
% 147.32/147.51 add('==>'(X_298, X_299), '==>'(0, X_298)) |
% 147.32/147.51 ~ greater_equal(add('==>'(0, X_298), '==>'(X_298, X_299)), X_299) |
% 147.32/147.51 greater_equal(add('==>'(X_298, X_299), '==>'(0, X_298)), X_299)),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf(greater_equal(add('==>'(0, X_298),
% 147.32/147.51 '==>'(X_298, X_299)), X_299)), [0],
% 147.32/147.51 $fot(add('==>'(X_298, X_299), '==>'(0, X_298)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_106, plain,
% 147.32/147.51 (~ greater_equal(add('==>'(0, X_298), '==>'(X_298, X_299)), X_299) |
% 147.32/147.51 greater_equal(add('==>'(X_298, X_299), '==>'(0, X_298)), X_299)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add('==>'(0, X_298), '==>'(X_298, X_299)),
% 147.32/147.51 add('==>'(X_298, X_299), '==>'(0, X_298))))],
% 147.32/147.51 [refute_0_104, refute_0_105])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_107, plain,
% 147.32/147.51 (greater_equal(add('==>'(X_298, X_299), '==>'(0, X_298)), X_299)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(add('==>'(0, X_298),
% 147.32/147.51 '==>'(X_298, X_299)), X_299))],
% 147.32/147.51 [refute_0_101, refute_0_106])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_108, plain,
% 147.32/147.51 (greater_equal(add('==>'(X_298, X_381), '==>'(0, X_298)), X_381)),
% 147.32/147.51 inference(subst, [], [refute_0_107 : [bind(X_299, $fot(X_381))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_109, plain,
% 147.32/147.51 (~ greater_equal(add('==>'(X_298, X_381), '==>'(0, X_298)), X_381) |
% 147.32/147.51 greater_equal('==>'(0, X_298), '==>'('==>'(X_298, X_381), X_381))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_3 :
% 147.32/147.51 [bind(X5, $fot('==>'(X_298, X_381))),
% 147.32/147.51 bind(X6, $fot('==>'(0, X_298))), bind(X7, $fot(X_381))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_110, plain,
% 147.32/147.51 (greater_equal('==>'(0, X_298), '==>'('==>'(X_298, X_381), X_381))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(add('==>'(X_298, X_381),
% 147.32/147.51 '==>'(0, X_298)), X_381))],
% 147.32/147.51 [refute_0_108, refute_0_109])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_111, plain, (greater_equal('==>'(0, X_676), X_676)),
% 147.32/147.51 inference(subst, [], [refute_0_93 : [bind(X_106, $fot(X_676))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_112, plain,
% 147.32/147.51 (~ greater_equal(X_676, '==>'(0, X_676)) |
% 147.32/147.51 ~ greater_equal('==>'(0, X_676), X_676) | '==>'(0, X_676) = X_676),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_1 :
% 147.32/147.51 [bind(X3, $fot('==>'(0, X_676))), bind(X4, $fot(X_676))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_113, plain,
% 147.32/147.51 (~ greater_equal(X_676, '==>'(0, X_676)) | '==>'(0, X_676) = X_676),
% 147.32/147.51 inference(resolve, [$cnf(greater_equal('==>'(0, X_676), X_676))],
% 147.32/147.51 [refute_0_111, refute_0_112])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_114, plain, (greater_equal(add(X_379, X_381), X_381)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_19 :
% 147.32/147.51 [bind(X_97, $fot(X_381)), bind(X_98, $fot(X_379))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_115, plain,
% 147.32/147.51 (~ greater_equal(add(X_379, X_381), X_381) |
% 147.32/147.51 greater_equal(X_381, '==>'(X_379, X_381))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_3 :
% 147.32/147.51 [bind(X5, $fot(X_379)), bind(X6, $fot(X_381)),
% 147.32/147.51 bind(X7, $fot(X_381))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_116, plain, (greater_equal(X_381, '==>'(X_379, X_381))),
% 147.32/147.51 inference(resolve, [$cnf(greater_equal(add(X_379, X_381), X_381))],
% 147.32/147.51 [refute_0_114, refute_0_115])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_117, plain, (greater_equal(X_676, '==>'(0, X_676))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_116 :
% 147.32/147.51 [bind(X_379, $fot(0)), bind(X_381, $fot(X_676))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_118, plain, ('==>'(0, X_676) = X_676),
% 147.32/147.51 inference(resolve, [$cnf(greater_equal(X_676, '==>'(0, X_676)))],
% 147.32/147.51 [refute_0_117, refute_0_113])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_119, plain, ('==>'(0, X_298) = X_298),
% 147.32/147.51 inference(subst, [], [refute_0_118 : [bind(X_676, $fot(X_298))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_120, plain,
% 147.32/147.51 ('==>'(0, X_298) != X_298 |
% 147.32/147.51 ~ greater_equal('==>'(0, X_298), '==>'('==>'(X_298, X_381), X_381)) |
% 147.32/147.51 greater_equal(X_298, '==>'('==>'(X_298, X_381), X_381))),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf(greater_equal('==>'(0, X_298),
% 147.32/147.51 '==>'('==>'(X_298, X_381), X_381))), [0],
% 147.32/147.51 $fot(X_298)]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_121, plain,
% 147.32/147.51 (~ greater_equal('==>'(0, X_298), '==>'('==>'(X_298, X_381), X_381)) |
% 147.32/147.51 greater_equal(X_298, '==>'('==>'(X_298, X_381), X_381))),
% 147.32/147.51 inference(resolve, [$cnf($equal('==>'(0, X_298), X_298))],
% 147.32/147.51 [refute_0_119, refute_0_120])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_122, plain,
% 147.32/147.51 (greater_equal(X_298, '==>'('==>'(X_298, X_381), X_381))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal('==>'(0, X_298),
% 147.32/147.51 '==>'('==>'(X_298, X_381), X_381)))],
% 147.32/147.51 [refute_0_110, refute_0_121])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_123, plain, (greater_equal(0, '==>'('==>'(0, X_381), X_381))),
% 147.32/147.51 inference(subst, [], [refute_0_122 : [bind(X_298, $fot(0))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_124, plain,
% 147.32/147.51 (~ greater_equal(0, '==>'('==>'(0, X_381), X_381)) |
% 147.32/147.51 '==>'('==>'(0, X_381), X_381) = 0),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_66 :
% 147.32/147.51 [bind(X_675, $fot('==>'('==>'(0, X_381), X_381)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_125, plain, ('==>'('==>'(0, X_381), X_381) = 0),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(0, '==>'('==>'(0, X_381), X_381)))],
% 147.32/147.51 [refute_0_123, refute_0_124])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_126, plain, ('==>'(0, X_381) = X_381),
% 147.32/147.51 inference(subst, [], [refute_0_118 : [bind(X_676, $fot(X_381))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_127, plain,
% 147.32/147.51 ('==>'('==>'(0, X_381), X_381) = '==>'('==>'(0, X_381), X_381)),
% 147.32/147.51 introduced(tautology, [refl, [$fot('==>'('==>'(0, X_381), X_381))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_128, plain,
% 147.32/147.51 ('==>'(0, X_381) != X_381 |
% 147.32/147.51 '==>'('==>'(0, X_381), X_381) != '==>'('==>'(0, X_381), X_381) |
% 147.32/147.51 '==>'('==>'(0, X_381), X_381) = '==>'(X_381, X_381)),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal('==>'('==>'(0, X_381), X_381),
% 147.32/147.51 '==>'('==>'(0, X_381), X_381))), [1, 0],
% 147.32/147.51 $fot(X_381)]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_129, plain,
% 147.32/147.51 ('==>'(0, X_381) != X_381 |
% 147.32/147.51 '==>'('==>'(0, X_381), X_381) = '==>'(X_381, X_381)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal('==>'('==>'(0, X_381), X_381),
% 147.32/147.51 '==>'('==>'(0, X_381), X_381)))],
% 147.32/147.51 [refute_0_127, refute_0_128])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_130, plain,
% 147.32/147.51 ('==>'('==>'(0, X_381), X_381) = '==>'(X_381, X_381)),
% 147.32/147.51 inference(resolve, [$cnf($equal('==>'(0, X_381), X_381))],
% 147.32/147.51 [refute_0_126, refute_0_129])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_131, plain,
% 147.32/147.51 ('==>'('==>'(0, X_381), X_381) != 0 |
% 147.32/147.51 '==>'('==>'(0, X_381), X_381) != '==>'(X_381, X_381) |
% 147.32/147.51 '==>'(X_381, X_381) = 0),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal('==>'('==>'(0, X_381), X_381), 0)), [0],
% 147.32/147.51 $fot('==>'(X_381, X_381))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_132, plain,
% 147.32/147.51 ('==>'('==>'(0, X_381), X_381) != 0 | '==>'(X_381, X_381) = 0),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal('==>'('==>'(0, X_381), X_381),
% 147.32/147.51 '==>'(X_381, X_381)))],
% 147.32/147.51 [refute_0_130, refute_0_131])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_133, plain, ('==>'(X_381, X_381) = 0),
% 147.32/147.51 inference(resolve, [$cnf($equal('==>'('==>'(0, X_381), X_381), 0))],
% 147.32/147.51 [refute_0_125, refute_0_132])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_134, plain, ('==>'(X_591, X_591) = 0),
% 147.32/147.51 inference(subst, [], [refute_0_133 : [bind(X_381, $fot(X_591))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_135, plain,
% 147.32/147.51 ('==>'(X_591, X_591) != 0 |
% 147.32/147.51 ~
% 147.32/147.51 greater_equal('==>'(X_591, X_591),
% 147.32/147.51 '==>'(X_591, '==>'(X_386, add(X_591, X_386)))) |
% 147.32/147.51 greater_equal(0, '==>'(X_591, '==>'(X_386, add(X_591, X_386))))),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf(greater_equal('==>'(X_591, X_591),
% 147.32/147.51 '==>'(X_591, '==>'(X_386, add(X_591, X_386))))),
% 147.32/147.51 [0], $fot(0)]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_136, plain,
% 147.32/147.51 (~
% 147.32/147.51 greater_equal('==>'(X_591, X_591),
% 147.32/147.51 '==>'(X_591, '==>'(X_386, add(X_591, X_386)))) |
% 147.32/147.51 greater_equal(0, '==>'(X_591, '==>'(X_386, add(X_591, X_386))))),
% 147.32/147.51 inference(resolve, [$cnf($equal('==>'(X_591, X_591), 0))],
% 147.32/147.51 [refute_0_134, refute_0_135])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_137, plain,
% 147.32/147.51 (greater_equal(0, '==>'(X_591, '==>'(X_386, add(X_591, X_386))))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal('==>'(X_591, X_591),
% 147.32/147.51 '==>'(X_591, '==>'(X_386, add(X_591, X_386)))))],
% 147.32/147.51 [refute_0_83, refute_0_136])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_138, plain,
% 147.32/147.51 (greater_equal(0, '==>'(X_710, '==>'(X_709, add(X_710, X_709))))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_137 :
% 147.32/147.51 [bind(X_386, $fot(X_709)), bind(X_591, $fot(X_710))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_139, plain,
% 147.32/147.51 ('==>'(X_710, '==>'(X_709, add(X_710, X_709))) = 0),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf(greater_equal(0,
% 147.32/147.51 '==>'(X_710, '==>'(X_709, add(X_710, X_709)))))],
% 147.32/147.51 [refute_0_138, refute_0_67])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_140, plain,
% 147.32/147.51 ('==>'(X_712, '==>'(X_711, add(X_712, X_711))) = 0),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_139 :
% 147.32/147.51 [bind(X_709, $fot(X_711)), bind(X_710, $fot(X_712))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_141, plain, (add(X_711, X_712) = add(X_712, X_711)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_11 :
% 147.32/147.51 [bind(A, $fot(X_711)), bind(B, $fot(X_712))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_142, plain,
% 147.32/147.51 (add(X_711, X_712) != add(X_712, X_711) |
% 147.32/147.51 add(X_712, X_711) = add(X_711, X_712)),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_24 :
% 147.32/147.51 [bind(X, $fot(add(X_711, X_712))),
% 147.32/147.51 bind(Y, $fot(add(X_712, X_711)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_143, plain, (add(X_712, X_711) = add(X_711, X_712)),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_711, X_712), add(X_712, X_711)))],
% 147.32/147.51 [refute_0_141, refute_0_142])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_144, plain,
% 147.32/147.51 (add(X_712, X_711) != add(X_711, X_712) |
% 147.32/147.51 '==>'(X_712, '==>'(X_711, add(X_712, X_711))) != 0 |
% 147.32/147.51 '==>'(X_712, '==>'(X_711, add(X_711, X_712))) = 0),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal('==>'(X_712, '==>'(X_711, add(X_712, X_711))),
% 147.32/147.51 0)), [0, 1, 1], $fot(add(X_711, X_712))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_145, plain,
% 147.32/147.51 ('==>'(X_712, '==>'(X_711, add(X_712, X_711))) != 0 |
% 147.32/147.51 '==>'(X_712, '==>'(X_711, add(X_711, X_712))) = 0),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(X_712, X_711), add(X_711, X_712)))],
% 147.32/147.51 [refute_0_143, refute_0_144])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_146, plain,
% 147.32/147.51 ('==>'(X_712, '==>'(X_711, add(X_711, X_712))) = 0),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal('==>'(X_712, '==>'(X_711, add(X_712, X_711))),
% 147.32/147.51 0))], [refute_0_140, refute_0_145])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_147, plain,
% 147.32/147.51 ('==>'(add('==>'(X_1616, X_1617),
% 147.32/147.51 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.32/147.51 '==>'('==>'(X_1617, 1),
% 147.32/147.51 add('==>'(X_1617, 1),
% 147.32/147.51 add('==>'(X_1616, X_1617),
% 147.32/147.51 '==>'('==>'(X_1617, X_1616), X_1616))))) = 0),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_146 :
% 147.32/147.51 [bind(X_711, $fot('==>'(X_1617, 1))),
% 147.32/147.51 bind(X_712,
% 147.32/147.51 $fot(add('==>'(X_1616, X_1617),
% 147.32/147.51 '==>'('==>'(X_1617, X_1616), X_1616))))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_148, plain,
% 147.32/147.51 (add(add(X_13, '==>'(X_13, 1)), X_15) =
% 147.32/147.51 add(X_13, add('==>'(X_13, 1), X_15))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_43 :
% 147.32/147.51 [bind(A, $fot(X_13)), bind(B, $fot('==>'(X_13, 1))),
% 147.32/147.51 bind(C, $fot(X_15))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_149, plain, (add(A, 1) = 1),
% 147.32/147.51 inference(canonicalize, [], [normalize_0_31])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_150, plain, (add(A, 1) = add(1, A)),
% 147.32/147.51 inference(subst, [], [refute_0_11 : [bind(B, $fot(1))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_151, plain,
% 147.32/147.51 (add(A, 1) != add(1, A) | add(A, 1) != 1 | add(1, A) = 1),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal(add(A, 1), 1)), [0], $fot(add(1, A))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_152, plain, (add(A, 1) != 1 | add(1, A) = 1),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(A, 1), add(1, A)))],
% 147.32/147.51 [refute_0_150, refute_0_151])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_153, plain, (add(1, A) = 1),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(A, 1), 1))],
% 147.32/147.51 [refute_0_149, refute_0_152])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_154, plain, (add(1, '==>'(1, X_10)) = 1),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_153 : [bind(A, $fot('==>'(1, X_10)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_155, plain,
% 147.32/147.51 (add(1, '==>'(1, X_10)) = add(X_10, '==>'(X_10, 1))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_31 : [bind(A, $fot(1)), bind(B, $fot(X_10))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_156, plain,
% 147.32/147.51 (add(1, '==>'(1, X_10)) != add(X_10, '==>'(X_10, 1)) |
% 147.32/147.51 add(1, '==>'(1, X_10)) != 1 | add(X_10, '==>'(X_10, 1)) = 1),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal(add(1, '==>'(1, X_10)), 1)), [0],
% 147.32/147.51 $fot(add(X_10, '==>'(X_10, 1)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_157, plain,
% 147.32/147.51 (add(1, '==>'(1, X_10)) != 1 | add(X_10, '==>'(X_10, 1)) = 1),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(1, '==>'(1, X_10)),
% 147.32/147.51 add(X_10, '==>'(X_10, 1))))],
% 147.32/147.51 [refute_0_155, refute_0_156])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_158, plain, (add(X_10, '==>'(X_10, 1)) = 1),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(1, '==>'(1, X_10)), 1))],
% 147.32/147.51 [refute_0_154, refute_0_157])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_159, plain, (add(X_13, '==>'(X_13, 1)) = 1),
% 147.32/147.51 inference(subst, [], [refute_0_158 : [bind(X_10, $fot(X_13))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_160, plain,
% 147.32/147.51 (add(X_13, '==>'(X_13, 1)) != 1 |
% 147.32/147.51 add(add(X_13, '==>'(X_13, 1)), X_15) !=
% 147.32/147.51 add(X_13, add('==>'(X_13, 1), X_15)) |
% 147.32/147.51 add(1, X_15) = add(X_13, add('==>'(X_13, 1), X_15))),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal(add(add(X_13, '==>'(X_13, 1)), X_15),
% 147.32/147.51 add(X_13, add('==>'(X_13, 1), X_15)))), [0, 0],
% 147.32/147.51 $fot(1)]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_161, plain,
% 147.32/147.51 (add(add(X_13, '==>'(X_13, 1)), X_15) !=
% 147.32/147.51 add(X_13, add('==>'(X_13, 1), X_15)) |
% 147.32/147.51 add(1, X_15) = add(X_13, add('==>'(X_13, 1), X_15))),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(X_13, '==>'(X_13, 1)), 1))],
% 147.32/147.51 [refute_0_159, refute_0_160])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_162, plain,
% 147.32/147.51 (add(1, X_15) = add(X_13, add('==>'(X_13, 1), X_15))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(add(X_13, '==>'(X_13, 1)), X_15),
% 147.32/147.51 add(X_13, add('==>'(X_13, 1), X_15))))],
% 147.32/147.51 [refute_0_148, refute_0_161])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_163, plain, (add(1, X_15) = 1),
% 147.32/147.51 inference(subst, [], [refute_0_153 : [bind(A, $fot(X_15))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_164, plain,
% 147.32/147.51 (add(1, X_15) != add(X_13, add('==>'(X_13, 1), X_15)) |
% 147.32/147.51 add(1, X_15) != 1 | 1 = add(X_13, add('==>'(X_13, 1), X_15))),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal(add(1, X_15),
% 147.32/147.51 add(X_13, add('==>'(X_13, 1), X_15)))), [0],
% 147.32/147.51 $fot(1)]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_165, plain,
% 147.32/147.51 (add(1, X_15) != add(X_13, add('==>'(X_13, 1), X_15)) |
% 147.32/147.51 1 = add(X_13, add('==>'(X_13, 1), X_15))),
% 147.32/147.51 inference(resolve, [$cnf($equal(add(1, X_15), 1))],
% 147.32/147.51 [refute_0_163, refute_0_164])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_166, plain, (1 = add(X_13, add('==>'(X_13, 1), X_15))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(1, X_15),
% 147.32/147.51 add(X_13, add('==>'(X_13, 1), X_15))))],
% 147.32/147.51 [refute_0_162, refute_0_165])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_167, plain,
% 147.32/147.51 (1 = add(X_16, add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A)))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_166 :
% 147.32/147.51 [bind(X_13, $fot(X_16)),
% 147.32/147.51 bind(X_15, $fot('==>'('==>'(X_16, 1), A)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_168, plain,
% 147.32/147.51 (add(A, '==>'(A, '==>'(X_16, 1))) =
% 147.32/147.51 add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A))),
% 147.32/147.51 inference(subst, [], [refute_0_31 : [bind(B, $fot('==>'(X_16, 1)))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_169, plain,
% 147.32/147.51 (add(A, '==>'(A, '==>'(X_16, 1))) !=
% 147.32/147.51 add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A)) |
% 147.32/147.51 add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A)) =
% 147.32/147.51 add(A, '==>'(A, '==>'(X_16, 1)))),
% 147.32/147.51 inference(subst, [],
% 147.32/147.51 [refute_0_24 :
% 147.32/147.51 [bind(X, $fot(add(A, '==>'(A, '==>'(X_16, 1))))),
% 147.32/147.51 bind(Y,
% 147.32/147.51 $fot(add('==>'(X_16, 1),
% 147.32/147.51 '==>'('==>'(X_16, 1), A))))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_170, plain,
% 147.32/147.51 (add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A)) =
% 147.32/147.51 add(A, '==>'(A, '==>'(X_16, 1)))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add(A, '==>'(A, '==>'(X_16, 1))),
% 147.32/147.51 add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A))))],
% 147.32/147.51 [refute_0_168, refute_0_169])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_171, plain,
% 147.32/147.51 (add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A)) !=
% 147.32/147.51 add(A, '==>'(A, '==>'(X_16, 1))) |
% 147.32/147.51 1 != add(X_16, add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A))) |
% 147.32/147.51 1 = add(X_16, add(A, '==>'(A, '==>'(X_16, 1))))),
% 147.32/147.51 introduced(tautology,
% 147.32/147.51 [equality,
% 147.32/147.51 [$cnf($equal(1,
% 147.32/147.51 add(X_16,
% 147.32/147.51 add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A))))),
% 147.32/147.51 [1, 1], $fot(add(A, '==>'(A, '==>'(X_16, 1))))]])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_172, plain,
% 147.32/147.51 (1 != add(X_16, add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A))) |
% 147.32/147.51 1 = add(X_16, add(A, '==>'(A, '==>'(X_16, 1))))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A)),
% 147.32/147.51 add(A, '==>'(A, '==>'(X_16, 1)))))],
% 147.32/147.51 [refute_0_170, refute_0_171])).
% 147.32/147.51
% 147.32/147.51 cnf(refute_0_173, plain, (1 = add(X_16, add(A, '==>'(A, '==>'(X_16, 1))))),
% 147.32/147.51 inference(resolve,
% 147.32/147.51 [$cnf($equal(1,
% 147.32/147.51 add(X_16,
% 147.32/147.51 add('==>'(X_16, 1), '==>'('==>'(X_16, 1), A)))))],
% 147.32/147.51 [refute_0_167, refute_0_172])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_174, plain,
% 147.32/147.52 (1 = add('==>'(A, 1), add(X_26, '==>'(X_26, '==>'('==>'(A, 1), 1))))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_173 :
% 147.32/147.52 [bind(A, $fot(X_26)), bind(X_16, $fot('==>'(A, 1)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_175, plain, ('==>'('==>'(A, 1), 1) = A),
% 147.32/147.52 inference(canonicalize, [], [normalize_0_33])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_176, plain,
% 147.32/147.52 (1 != add('==>'(A, 1), add(X_26, '==>'(X_26, '==>'('==>'(A, 1), 1)))) |
% 147.32/147.52 '==>'('==>'(A, 1), 1) != A |
% 147.32/147.52 1 = add('==>'(A, 1), add(X_26, '==>'(X_26, A)))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(A, 1),
% 147.32/147.52 add(X_26, '==>'(X_26, '==>'('==>'(A, 1), 1)))))),
% 147.32/147.52 [1, 1, 1, 1], $fot(A)]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_177, plain,
% 147.32/147.52 (1 != add('==>'(A, 1), add(X_26, '==>'(X_26, '==>'('==>'(A, 1), 1)))) |
% 147.32/147.52 1 = add('==>'(A, 1), add(X_26, '==>'(X_26, A)))),
% 147.32/147.52 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), 1), A))],
% 147.32/147.52 [refute_0_175, refute_0_176])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_178, plain, (1 = add('==>'(A, 1), add(X_26, '==>'(X_26, A)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(A, 1),
% 147.32/147.52 add(X_26, '==>'(X_26, '==>'('==>'(A, 1), 1))))))],
% 147.32/147.52 [refute_0_174, refute_0_177])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_179, plain,
% 147.32/147.52 (1 =
% 147.32/147.52 add('==>'(A, 1),
% 147.32/147.52 add('==>'('==>'(A, 1), X_1349),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A)))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_178 :
% 147.32/147.52 [bind(X_26, $fot('==>'('==>'(A, 1), X_1349)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_180, plain,
% 147.32/147.52 (add(add(X_13, '==>'(X_13, A)), X_15) =
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_43 :
% 147.32/147.52 [bind(A, $fot(X_13)), bind(B, $fot('==>'(X_13, A))),
% 147.32/147.52 bind(C, $fot(X_15))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_181, plain,
% 147.32/147.52 (add(A, '==>'(A, X_13)) = add(X_13, '==>'(X_13, A))),
% 147.32/147.52 inference(subst, [], [refute_0_31 : [bind(B, $fot(X_13))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_182, plain,
% 147.32/147.52 (add(A, '==>'(A, X_13)) != add(X_13, '==>'(X_13, A)) |
% 147.32/147.52 add(X_13, '==>'(X_13, A)) = add(A, '==>'(A, X_13))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_24 :
% 147.32/147.52 [bind(X, $fot(add(A, '==>'(A, X_13)))),
% 147.32/147.52 bind(Y, $fot(add(X_13, '==>'(X_13, A))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_183, plain,
% 147.32/147.52 (add(X_13, '==>'(X_13, A)) = add(A, '==>'(A, X_13))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(A, '==>'(A, X_13)),
% 147.32/147.52 add(X_13, '==>'(X_13, A))))],
% 147.32/147.52 [refute_0_181, refute_0_182])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_184, plain,
% 147.32/147.52 (add(X_13, '==>'(X_13, A)) != add(A, '==>'(A, X_13)) |
% 147.32/147.52 add(add(X_13, '==>'(X_13, A)), X_15) !=
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15)) |
% 147.32/147.52 add(add(A, '==>'(A, X_13)), X_15) =
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(add(add(X_13, '==>'(X_13, A)), X_15),
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15)))), [0, 0],
% 147.32/147.52 $fot(add(A, '==>'(A, X_13)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_185, plain,
% 147.32/147.52 (add(add(X_13, '==>'(X_13, A)), X_15) !=
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15)) |
% 147.32/147.52 add(add(A, '==>'(A, X_13)), X_15) =
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(X_13, '==>'(X_13, A)),
% 147.32/147.52 add(A, '==>'(A, X_13))))],
% 147.32/147.52 [refute_0_183, refute_0_184])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_186, plain,
% 147.32/147.52 (add(add(A, '==>'(A, X_13)), X_15) =
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(add(X_13, '==>'(X_13, A)), X_15),
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15))))],
% 147.32/147.52 [refute_0_180, refute_0_185])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_187, plain,
% 147.32/147.52 (add(add(A, '==>'(A, X_13)), X_15) =
% 147.32/147.52 add(A, add('==>'(A, X_13), X_15))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_43 :
% 147.32/147.52 [bind(B, $fot('==>'(A, X_13))), bind(C, $fot(X_15))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_188, plain,
% 147.32/147.52 (add(add(A, '==>'(A, X_13)), X_15) !=
% 147.32/147.52 add(A, add('==>'(A, X_13), X_15)) |
% 147.32/147.52 add(add(A, '==>'(A, X_13)), X_15) !=
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15)) |
% 147.32/147.52 add(A, add('==>'(A, X_13), X_15)) =
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(add(add(A, '==>'(A, X_13)), X_15),
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15)))), [0],
% 147.32/147.52 $fot(add(A, add('==>'(A, X_13), X_15)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_189, plain,
% 147.32/147.52 (add(add(A, '==>'(A, X_13)), X_15) !=
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15)) |
% 147.32/147.52 add(A, add('==>'(A, X_13), X_15)) =
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(add(A, '==>'(A, X_13)), X_15),
% 147.32/147.52 add(A, add('==>'(A, X_13), X_15))))],
% 147.32/147.52 [refute_0_187, refute_0_188])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_190, plain,
% 147.32/147.52 (add(A, add('==>'(A, X_13), X_15)) =
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(add(A, '==>'(A, X_13)), X_15),
% 147.32/147.52 add(X_13, add('==>'(X_13, A), X_15))))],
% 147.32/147.52 [refute_0_186, refute_0_189])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_191, plain,
% 147.32/147.52 (add('==>'(A, 1),
% 147.32/147.52 add('==>'('==>'(A, 1), X_1349),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A))) =
% 147.32/147.52 add(X_1349,
% 147.32/147.52 add('==>'(X_1349, '==>'(A, 1)),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A)))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_190 :
% 147.32/147.52 [bind(A, $fot('==>'(A, 1))), bind(X_13, $fot(X_1349)),
% 147.32/147.52 bind(X_15, $fot('==>'('==>'('==>'(A, 1), X_1349), A)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_192, plain,
% 147.32/147.52 (add('==>'(A, 1),
% 147.32/147.52 add('==>'('==>'(A, 1), X_1349),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A))) !=
% 147.32/147.52 add(X_1349,
% 147.32/147.52 add('==>'(X_1349, '==>'(A, 1)),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A))) |
% 147.32/147.52 1 !=
% 147.32/147.52 add('==>'(A, 1),
% 147.32/147.52 add('==>'('==>'(A, 1), X_1349),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A))) |
% 147.32/147.52 1 =
% 147.32/147.52 add(X_1349,
% 147.32/147.52 add('==>'(X_1349, '==>'(A, 1)),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A)))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(A, 1),
% 147.32/147.52 add('==>'('==>'(A, 1), X_1349),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A))))), [1],
% 147.32/147.52 $fot(add(X_1349,
% 147.32/147.52 add('==>'(X_1349, '==>'(A, 1)),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_193, plain,
% 147.32/147.52 (1 !=
% 147.32/147.52 add('==>'(A, 1),
% 147.32/147.52 add('==>'('==>'(A, 1), X_1349),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A))) |
% 147.32/147.52 1 =
% 147.32/147.52 add(X_1349,
% 147.32/147.52 add('==>'(X_1349, '==>'(A, 1)),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'(A, 1),
% 147.32/147.52 add('==>'('==>'(A, 1), X_1349),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A))),
% 147.32/147.52 add(X_1349,
% 147.32/147.52 add('==>'(X_1349, '==>'(A, 1)),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A)))))],
% 147.32/147.52 [refute_0_191, refute_0_192])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_194, plain,
% 147.32/147.52 (1 =
% 147.32/147.52 add(X_1349,
% 147.32/147.52 add('==>'(X_1349, '==>'(A, 1)),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(A, 1),
% 147.32/147.52 add('==>'('==>'(A, 1), X_1349),
% 147.32/147.52 '==>'('==>'('==>'(A, 1), X_1349), A)))))],
% 147.32/147.52 [refute_0_179, refute_0_193])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_195, plain,
% 147.32/147.52 (1 =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'(X_791, 1), '==>'(X_1353, 1)),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_194 :
% 147.32/147.52 [bind(A, $fot(X_1353)),
% 147.32/147.52 bind(X_1349, $fot('==>'(X_791, 1)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_196, plain,
% 147.32/147.52 (~
% 147.32/147.52 greater_equal('==>'('==>'(X_791, 1), X_792),
% 147.32/147.52 '==>'('==>'(X_792, 1), X_791)) |
% 147.32/147.52 ~
% 147.32/147.52 greater_equal('==>'('==>'(X_792, 1), X_791),
% 147.32/147.52 '==>'('==>'(X_791, 1), X_792)) |
% 147.32/147.52 '==>'('==>'(X_792, 1), X_791) = '==>'('==>'(X_791, 1), X_792)),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_1 :
% 147.32/147.52 [bind(X3, $fot('==>'('==>'(X_792, 1), X_791))),
% 147.32/147.52 bind(X4, $fot('==>'('==>'(X_791, 1), X_792)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_197, plain,
% 147.32/147.52 (~
% 147.32/147.52 greater_equal(add('==>'(X_589, 1), '==>'('==>'(X_588, 1), X_589)),
% 147.32/147.52 X_588) |
% 147.32/147.52 greater_equal('==>'('==>'(X_588, 1), X_589),
% 147.32/147.52 '==>'('==>'(X_589, 1), X_588))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_3 :
% 147.32/147.52 [bind(X5, $fot('==>'(X_589, 1))),
% 147.32/147.52 bind(X6, $fot('==>'('==>'(X_588, 1), X_589))),
% 147.32/147.52 bind(X7, $fot(X_588))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_198, plain,
% 147.32/147.52 (greater_equal(add('==>'(X_386, X_33), '==>'(X_33, 1)),
% 147.32/147.52 '==>'(X_386, add(X_386, add('==>'(X_386, X_33), '==>'(X_33, 1)))))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_71 :
% 147.32/147.52 [bind(X_379, $fot(X_386)),
% 147.32/147.52 bind(X_380,
% 147.32/147.52 $fot(add('==>'(X_386, X_33), '==>'(X_33, 1))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_199, plain,
% 147.32/147.52 (add(add('==>'(X_33, 1), B), '==>'(B, X_33)) =
% 147.32/147.52 add('==>'(X_33, 1), add(B, '==>'(B, X_33)))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_43 :
% 147.32/147.52 [bind(A, $fot('==>'(X_33, 1))),
% 147.32/147.52 bind(C, $fot('==>'(B, X_33)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_200, plain, (1 = add('==>'(X_33, 1), add(B, '==>'(B, X_33)))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_178 :
% 147.32/147.52 [bind(A, $fot(X_33)), bind(X_26, $fot(B))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_201, plain,
% 147.32/147.52 (1 != add('==>'(X_33, 1), add(B, '==>'(B, X_33))) |
% 147.32/147.52 add('==>'(X_33, 1), add(B, '==>'(B, X_33))) = 1),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_24 :
% 147.32/147.52 [bind(X, $fot(1)),
% 147.32/147.52 bind(Y,
% 147.32/147.52 $fot(add('==>'(X_33, 1),
% 147.32/147.52 add(B, '==>'(B, X_33)))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_202, plain, (add('==>'(X_33, 1), add(B, '==>'(B, X_33))) = 1),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(X_33, 1), add(B, '==>'(B, X_33)))))],
% 147.32/147.52 [refute_0_200, refute_0_201])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_203, plain,
% 147.32/147.52 (add(add('==>'(X_33, 1), B), '==>'(B, X_33)) !=
% 147.32/147.52 add('==>'(X_33, 1), add(B, '==>'(B, X_33))) |
% 147.32/147.52 add('==>'(X_33, 1), add(B, '==>'(B, X_33))) != 1 |
% 147.32/147.52 add(add('==>'(X_33, 1), B), '==>'(B, X_33)) = 1),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf(~ $equal(add(add('==>'(X_33, 1), B), '==>'(B, X_33)),
% 147.32/147.52 1)), [0],
% 147.32/147.52 $fot(add('==>'(X_33, 1), add(B, '==>'(B, X_33))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_204, plain,
% 147.32/147.52 (add(add('==>'(X_33, 1), B), '==>'(B, X_33)) !=
% 147.32/147.52 add('==>'(X_33, 1), add(B, '==>'(B, X_33))) |
% 147.32/147.52 add(add('==>'(X_33, 1), B), '==>'(B, X_33)) = 1),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'(X_33, 1), add(B, '==>'(B, X_33))),
% 147.32/147.52 1))], [refute_0_202, refute_0_203])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_205, plain, (add(add('==>'(X_33, 1), B), '==>'(B, X_33)) = 1),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(add('==>'(X_33, 1), B), '==>'(B, X_33)),
% 147.32/147.52 add('==>'(X_33, 1), add(B, '==>'(B, X_33)))))],
% 147.32/147.52 [refute_0_199, refute_0_204])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_206, plain,
% 147.32/147.52 (add(A, add(X_13, X_14)) = add(add(X_13, X_14), A)),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_11 : [bind(B, $fot(add(X_13, X_14)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_207, plain,
% 147.32/147.52 (add(add(X_13, X_14), A) = add(X_13, add(X_14, A))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_43 :
% 147.32/147.52 [bind(A, $fot(X_13)), bind(B, $fot(X_14)),
% 147.32/147.52 bind(C, $fot(A))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_208, plain,
% 147.32/147.52 (add(A, add(X_13, X_14)) != add(add(X_13, X_14), A) |
% 147.32/147.52 add(add(X_13, X_14), A) != add(X_13, add(X_14, A)) |
% 147.32/147.52 add(A, add(X_13, X_14)) = add(X_13, add(X_14, A))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf(~ $equal(add(A, add(X_13, X_14)),
% 147.32/147.52 add(X_13, add(X_14, A)))), [0],
% 147.32/147.52 $fot(add(add(X_13, X_14), A))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_209, plain,
% 147.32/147.52 (add(A, add(X_13, X_14)) != add(add(X_13, X_14), A) |
% 147.32/147.52 add(A, add(X_13, X_14)) = add(X_13, add(X_14, A))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(add(X_13, X_14), A),
% 147.32/147.52 add(X_13, add(X_14, A))))],
% 147.32/147.52 [refute_0_207, refute_0_208])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_210, plain,
% 147.32/147.52 (add(A, add(X_13, X_14)) = add(X_13, add(X_14, A))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(A, add(X_13, X_14)),
% 147.32/147.52 add(add(X_13, X_14), A)))],
% 147.32/147.52 [refute_0_206, refute_0_209])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_211, plain,
% 147.32/147.52 (add(A, add(X_13, X_14)) != add(X_13, add(X_14, A)) |
% 147.32/147.52 add(X_13, add(X_14, A)) = add(A, add(X_13, X_14))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_24 :
% 147.32/147.52 [bind(X, $fot(add(A, add(X_13, X_14)))),
% 147.32/147.52 bind(Y, $fot(add(X_13, add(X_14, A))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_212, plain,
% 147.32/147.52 (add(X_13, add(X_14, A)) = add(A, add(X_13, X_14))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(A, add(X_13, X_14)),
% 147.32/147.52 add(X_13, add(X_14, A))))],
% 147.32/147.52 [refute_0_210, refute_0_211])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_213, plain,
% 147.32/147.52 (add('==>'(B, X_33), add('==>'(X_33, 1), B)) =
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1)))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_212 :
% 147.32/147.52 [bind(A, $fot(B)), bind(X_13, $fot('==>'(B, X_33))),
% 147.32/147.52 bind(X_14, $fot('==>'(X_33, 1)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_214, plain, (add(A, B) != add(B, A) | add(B, A) = add(A, B)),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_24 :
% 147.32/147.52 [bind(X, $fot(add(A, B))), bind(Y, $fot(add(B, A)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_215, plain, (add(B, A) = add(A, B)),
% 147.32/147.52 inference(resolve, [$cnf($equal(add(A, B), add(B, A)))],
% 147.32/147.52 [refute_0_11, refute_0_214])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_216, plain,
% 147.32/147.52 (add(add('==>'(X_33, 1), B), '==>'(B, X_33)) =
% 147.32/147.52 add('==>'(B, X_33), add('==>'(X_33, 1), B))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_215 :
% 147.32/147.52 [bind(A, $fot('==>'(B, X_33))),
% 147.32/147.52 bind(B, $fot(add('==>'(X_33, 1), B)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_217, plain, (Y != X | Y != Z | X = Z),
% 147.32/147.52 introduced(tautology, [equality, [$cnf($equal(Y, Z)), [0], $fot(X)]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_218, plain, (X != Y | Y != Z | X = Z),
% 147.32/147.52 inference(resolve, [$cnf($equal(Y, X))], [refute_0_24, refute_0_217])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_219, plain,
% 147.32/147.52 (add(add('==>'(X_33, 1), B), '==>'(B, X_33)) !=
% 147.32/147.52 add('==>'(B, X_33), add('==>'(X_33, 1), B)) |
% 147.32/147.52 add('==>'(B, X_33), add('==>'(X_33, 1), B)) !=
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1))) |
% 147.32/147.52 add(add('==>'(X_33, 1), B), '==>'(B, X_33)) =
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1)))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_218 :
% 147.32/147.52 [bind(X, $fot(add(add('==>'(X_33, 1), B), '==>'(B, X_33)))),
% 147.32/147.52 bind(Y, $fot(add('==>'(B, X_33), add('==>'(X_33, 1), B)))),
% 147.32/147.52 bind(Z,
% 147.32/147.52 $fot(add(B,
% 147.32/147.52 add('==>'(B, X_33), '==>'(X_33, 1)))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_220, plain,
% 147.32/147.52 (add('==>'(B, X_33), add('==>'(X_33, 1), B)) !=
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1))) |
% 147.32/147.52 add(add('==>'(X_33, 1), B), '==>'(B, X_33)) =
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(add('==>'(X_33, 1), B), '==>'(B, X_33)),
% 147.32/147.52 add('==>'(B, X_33), add('==>'(X_33, 1), B))))],
% 147.32/147.52 [refute_0_216, refute_0_219])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_221, plain,
% 147.32/147.52 (add(add('==>'(X_33, 1), B), '==>'(B, X_33)) =
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'(B, X_33), add('==>'(X_33, 1), B)),
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1)))))],
% 147.32/147.52 [refute_0_213, refute_0_220])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_222, plain,
% 147.32/147.52 (add(add('==>'(X_33, 1), B), '==>'(B, X_33)) !=
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1))) |
% 147.32/147.52 add(add('==>'(X_33, 1), B), '==>'(B, X_33)) != 1 |
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1))) = 1),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(add(add('==>'(X_33, 1), B), '==>'(B, X_33)),
% 147.32/147.52 1)), [0],
% 147.32/147.52 $fot(add(B, add('==>'(B, X_33), '==>'(X_33, 1))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_223, plain,
% 147.32/147.52 (add(add('==>'(X_33, 1), B), '==>'(B, X_33)) != 1 |
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1))) = 1),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(add('==>'(X_33, 1), B), '==>'(B, X_33)),
% 147.32/147.52 add(B, add('==>'(B, X_33), '==>'(X_33, 1)))))],
% 147.32/147.52 [refute_0_221, refute_0_222])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_224, plain, (add(B, add('==>'(B, X_33), '==>'(X_33, 1))) = 1),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(add('==>'(X_33, 1), B), '==>'(B, X_33)),
% 147.32/147.52 1))], [refute_0_205, refute_0_223])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_225, plain,
% 147.32/147.52 (add(X_386, add('==>'(X_386, X_33), '==>'(X_33, 1))) = 1),
% 147.32/147.52 inference(subst, [], [refute_0_224 : [bind(B, $fot(X_386))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_226, plain,
% 147.32/147.52 (add(X_386, add('==>'(X_386, X_33), '==>'(X_33, 1))) != 1 |
% 147.32/147.52 ~
% 147.32/147.52 greater_equal(add('==>'(X_386, X_33), '==>'(X_33, 1)),
% 147.32/147.52 '==>'(X_386,
% 147.32/147.52 add(X_386, add('==>'(X_386, X_33), '==>'(X_33, 1))))) |
% 147.32/147.52 greater_equal(add('==>'(X_386, X_33), '==>'(X_33, 1)),
% 147.32/147.52 '==>'(X_386, 1))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf(greater_equal(add('==>'(X_386, X_33),
% 147.32/147.52 '==>'(X_33, 1)),
% 147.32/147.52 '==>'(X_386,
% 147.32/147.52 add(X_386,
% 147.32/147.52 add('==>'(X_386, X_33), '==>'(X_33, 1)))))),
% 147.32/147.52 [1, 1], $fot(1)]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_227, plain,
% 147.32/147.52 (~
% 147.32/147.52 greater_equal(add('==>'(X_386, X_33), '==>'(X_33, 1)),
% 147.32/147.52 '==>'(X_386,
% 147.32/147.52 add(X_386, add('==>'(X_386, X_33), '==>'(X_33, 1))))) |
% 147.32/147.52 greater_equal(add('==>'(X_386, X_33), '==>'(X_33, 1)),
% 147.32/147.52 '==>'(X_386, 1))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add(X_386,
% 147.32/147.52 add('==>'(X_386, X_33), '==>'(X_33, 1))), 1))],
% 147.32/147.52 [refute_0_225, refute_0_226])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_228, plain,
% 147.32/147.52 (greater_equal(add('==>'(X_386, X_33), '==>'(X_33, 1)),
% 147.32/147.52 '==>'(X_386, 1))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf(greater_equal(add('==>'(X_386, X_33), '==>'(X_33, 1)),
% 147.32/147.52 '==>'(X_386,
% 147.32/147.52 add(X_386,
% 147.32/147.52 add('==>'(X_386, X_33), '==>'(X_33, 1))))))],
% 147.32/147.52 [refute_0_198, refute_0_227])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_229, plain,
% 147.32/147.52 (greater_equal(add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)),
% 147.32/147.52 '==>'('==>'(A, 1), 1))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_228 :
% 147.32/147.52 [bind(X_33, $fot(X_507)),
% 147.32/147.52 bind(X_386, $fot('==>'(A, 1)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_230, plain,
% 147.32/147.52 ('==>'('==>'(A, 1), 1) != A |
% 147.32/147.52 ~
% 147.32/147.52 greater_equal(add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)),
% 147.32/147.52 '==>'('==>'(A, 1), 1)) |
% 147.32/147.52 greater_equal(add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)), A)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf(greater_equal(add('==>'('==>'(A, 1), X_507),
% 147.32/147.52 '==>'(X_507, 1)), '==>'('==>'(A, 1), 1))), [1],
% 147.32/147.52 $fot(A)]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_231, plain,
% 147.32/147.52 (~
% 147.32/147.52 greater_equal(add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)),
% 147.32/147.52 '==>'('==>'(A, 1), 1)) |
% 147.32/147.52 greater_equal(add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)), A)),
% 147.32/147.52 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), 1), A))],
% 147.32/147.52 [refute_0_175, refute_0_230])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_232, plain,
% 147.32/147.52 (greater_equal(add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)), A)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf(greater_equal(add('==>'('==>'(A, 1), X_507),
% 147.32/147.52 '==>'(X_507, 1)), '==>'('==>'(A, 1), 1)))],
% 147.32/147.52 [refute_0_229, refute_0_231])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_233, plain,
% 147.32/147.52 (add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)) =
% 147.32/147.52 add('==>'(X_507, 1), '==>'('==>'(A, 1), X_507))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_215 :
% 147.32/147.52 [bind(A, $fot('==>'(X_507, 1))),
% 147.32/147.52 bind(B, $fot('==>'('==>'(A, 1), X_507)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_234, plain,
% 147.32/147.52 (add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)) !=
% 147.32/147.52 add('==>'(X_507, 1), '==>'('==>'(A, 1), X_507)) |
% 147.32/147.52 ~ greater_equal(add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)), A) |
% 147.32/147.52 greater_equal(add('==>'(X_507, 1), '==>'('==>'(A, 1), X_507)), A)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf(greater_equal(add('==>'('==>'(A, 1), X_507),
% 147.32/147.52 '==>'(X_507, 1)), A)), [0],
% 147.32/147.52 $fot(add('==>'(X_507, 1), '==>'('==>'(A, 1), X_507)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_235, plain,
% 147.32/147.52 (~ greater_equal(add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)), A) |
% 147.32/147.52 greater_equal(add('==>'(X_507, 1), '==>'('==>'(A, 1), X_507)), A)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'('==>'(A, 1), X_507), '==>'(X_507, 1)),
% 147.32/147.52 add('==>'(X_507, 1), '==>'('==>'(A, 1), X_507))))],
% 147.32/147.52 [refute_0_233, refute_0_234])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_236, plain,
% 147.32/147.52 (greater_equal(add('==>'(X_507, 1), '==>'('==>'(A, 1), X_507)), A)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf(greater_equal(add('==>'('==>'(A, 1), X_507),
% 147.32/147.52 '==>'(X_507, 1)), A))],
% 147.32/147.52 [refute_0_232, refute_0_235])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_237, plain,
% 147.32/147.52 (greater_equal(add('==>'(X_589, 1), '==>'('==>'(X_588, 1), X_589)),
% 147.32/147.52 X_588)),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_236 :
% 147.32/147.52 [bind(A, $fot(X_588)), bind(X_507, $fot(X_589))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_238, plain,
% 147.32/147.52 (greater_equal('==>'('==>'(X_588, 1), X_589),
% 147.32/147.52 '==>'('==>'(X_589, 1), X_588))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf(greater_equal(add('==>'(X_589, 1),
% 147.32/147.52 '==>'('==>'(X_588, 1), X_589)), X_588))],
% 147.32/147.52 [refute_0_237, refute_0_197])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_239, plain,
% 147.32/147.52 (greater_equal('==>'('==>'(X_791, 1), X_792),
% 147.32/147.52 '==>'('==>'(X_792, 1), X_791))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_238 :
% 147.32/147.52 [bind(X_588, $fot(X_791)), bind(X_589, $fot(X_792))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_240, plain,
% 147.32/147.52 (~
% 147.32/147.52 greater_equal('==>'('==>'(X_792, 1), X_791),
% 147.32/147.52 '==>'('==>'(X_791, 1), X_792)) |
% 147.32/147.52 '==>'('==>'(X_792, 1), X_791) = '==>'('==>'(X_791, 1), X_792)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf(greater_equal('==>'('==>'(X_791, 1), X_792),
% 147.32/147.52 '==>'('==>'(X_792, 1), X_791)))],
% 147.32/147.52 [refute_0_239, refute_0_196])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_241, plain,
% 147.32/147.52 (greater_equal('==>'('==>'(X_792, 1), X_791),
% 147.32/147.52 '==>'('==>'(X_791, 1), X_792))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_238 :
% 147.32/147.52 [bind(X_588, $fot(X_792)), bind(X_589, $fot(X_791))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_242, plain,
% 147.32/147.52 ('==>'('==>'(X_792, 1), X_791) = '==>'('==>'(X_791, 1), X_792)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf(greater_equal('==>'('==>'(X_792, 1), X_791),
% 147.32/147.52 '==>'('==>'(X_791, 1), X_792)))],
% 147.32/147.52 [refute_0_241, refute_0_240])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_243, plain,
% 147.32/147.52 ('==>'('==>'('==>'(X_1353, 1), 1), X_791) =
% 147.32/147.52 '==>'('==>'(X_791, 1), '==>'(X_1353, 1))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_242 : [bind(X_792, $fot('==>'(X_1353, 1)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_244, plain,
% 147.32/147.52 ('==>'('==>'('==>'(X_1353, 1), 1), X_791) !=
% 147.32/147.52 '==>'('==>'(X_791, 1), '==>'(X_1353, 1)) |
% 147.32/147.52 '==>'('==>'(X_791, 1), '==>'(X_1353, 1)) =
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791)),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_24 :
% 147.32/147.52 [bind(X, $fot('==>'('==>'('==>'(X_1353, 1), 1), X_791))),
% 147.32/147.52 bind(Y,
% 147.32/147.52 $fot('==>'('==>'(X_791, 1), '==>'(X_1353, 1))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_245, plain,
% 147.32/147.52 ('==>'('==>'(X_791, 1), '==>'(X_1353, 1)) =
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'(X_791, 1), '==>'(X_1353, 1))))],
% 147.32/147.52 [refute_0_243, refute_0_244])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_246, plain,
% 147.32/147.52 (1 !=
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'(X_791, 1), '==>'(X_1353, 1)),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) |
% 147.32/147.52 '==>'('==>'(X_791, 1), '==>'(X_1353, 1)) !=
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791) |
% 147.32/147.52 1 =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'(X_791, 1), '==>'(X_1353, 1)),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))))), [1, 1, 0],
% 147.32/147.52 $fot('==>'('==>'('==>'(X_1353, 1), 1), X_791))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_247, plain,
% 147.32/147.52 (1 !=
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'(X_791, 1), '==>'(X_1353, 1)),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) |
% 147.32/147.52 1 =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'(X_791, 1), '==>'(X_1353, 1)),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791)))],
% 147.32/147.52 [refute_0_245, refute_0_246])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_248, plain,
% 147.32/147.52 (1 =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'(X_791, 1), '==>'(X_1353, 1)),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))))], [refute_0_195, refute_0_247])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_249, plain,
% 147.32/147.52 ('==>'('==>'(X_792, 1), '==>'(X_1098, 1)) =
% 147.32/147.52 '==>'('==>'('==>'(X_1098, 1), 1), X_792)),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_242 : [bind(X_791, $fot('==>'(X_1098, 1)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_250, plain,
% 147.32/147.52 ('==>'('==>'(X_1098, 1), 1) = '==>'('==>'(1, 1), X_1098)),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_242 :
% 147.32/147.52 [bind(X_791, $fot(1)), bind(X_792, $fot(X_1098))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_251, plain,
% 147.32/147.52 ('==>'('==>'(X_1098, 1), 1) != '==>'('==>'(1, 1), X_1098) |
% 147.32/147.52 '==>'('==>'(X_792, 1), '==>'(X_1098, 1)) !=
% 147.32/147.52 '==>'('==>'('==>'(X_1098, 1), 1), X_792) |
% 147.32/147.52 '==>'('==>'(X_792, 1), '==>'(X_1098, 1)) =
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal('==>'('==>'(X_792, 1), '==>'(X_1098, 1)),
% 147.32/147.52 '==>'('==>'('==>'(X_1098, 1), 1), X_792))), [1, 0],
% 147.32/147.52 $fot('==>'('==>'(1, 1), X_1098))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_252, plain,
% 147.32/147.52 ('==>'('==>'(X_792, 1), '==>'(X_1098, 1)) !=
% 147.32/147.52 '==>'('==>'('==>'(X_1098, 1), 1), X_792) |
% 147.32/147.52 '==>'('==>'(X_792, 1), '==>'(X_1098, 1)) =
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'(X_1098, 1), 1),
% 147.32/147.52 '==>'('==>'(1, 1), X_1098)))],
% 147.32/147.52 [refute_0_250, refute_0_251])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_253, plain,
% 147.32/147.52 ('==>'('==>'(X_792, 1), '==>'(X_1098, 1)) =
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'(X_792, 1), '==>'(X_1098, 1)),
% 147.32/147.52 '==>'('==>'('==>'(X_1098, 1), 1), X_792)))],
% 147.32/147.52 [refute_0_249, refute_0_252])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_254, plain, ('==>'(0, X_1098) = X_1098),
% 147.32/147.52 inference(subst, [], [refute_0_118 : [bind(X_676, $fot(X_1098))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_255, plain, ('==>'(1, 1) = 0),
% 147.32/147.52 inference(subst, [], [refute_0_133 : [bind(X_381, $fot(1))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_256, plain,
% 147.32/147.52 ('==>'('==>'(1, 1), X_1098) = '==>'('==>'(1, 1), X_1098)),
% 147.32/147.52 introduced(tautology, [refl, [$fot('==>'('==>'(1, 1), X_1098))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_257, plain,
% 147.32/147.52 ('==>'(1, 1) != 0 |
% 147.32/147.52 '==>'('==>'(1, 1), X_1098) != '==>'('==>'(1, 1), X_1098) |
% 147.32/147.52 '==>'('==>'(1, 1), X_1098) = '==>'(0, X_1098)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal('==>'('==>'(1, 1), X_1098),
% 147.32/147.52 '==>'('==>'(1, 1), X_1098))), [1, 0], $fot(0)]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_258, plain,
% 147.32/147.52 ('==>'(1, 1) != 0 | '==>'('==>'(1, 1), X_1098) = '==>'(0, X_1098)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'(1, 1), X_1098),
% 147.32/147.52 '==>'('==>'(1, 1), X_1098)))],
% 147.32/147.52 [refute_0_256, refute_0_257])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_259, plain, ('==>'('==>'(1, 1), X_1098) = '==>'(0, X_1098)),
% 147.32/147.52 inference(resolve, [$cnf($equal('==>'(1, 1), 0))],
% 147.32/147.52 [refute_0_255, refute_0_258])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_260, plain,
% 147.32/147.52 ('==>'(0, X_1098) != X_1098 |
% 147.32/147.52 '==>'('==>'(1, 1), X_1098) != '==>'(0, X_1098) |
% 147.32/147.52 '==>'('==>'(1, 1), X_1098) = X_1098),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_218 :
% 147.32/147.52 [bind(X, $fot('==>'('==>'(1, 1), X_1098))),
% 147.32/147.52 bind(Y, $fot('==>'(0, X_1098))), bind(Z, $fot(X_1098))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_261, plain,
% 147.32/147.52 ('==>'(0, X_1098) != X_1098 | '==>'('==>'(1, 1), X_1098) = X_1098),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'(1, 1), X_1098), '==>'(0, X_1098)))],
% 147.32/147.52 [refute_0_259, refute_0_260])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_262, plain, ('==>'('==>'(1, 1), X_1098) = X_1098),
% 147.32/147.52 inference(resolve, [$cnf($equal('==>'(0, X_1098), X_1098))],
% 147.32/147.52 [refute_0_254, refute_0_261])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_263, plain,
% 147.32/147.52 ('==>'('==>'('==>'(1, 1), X_1098), X_792) =
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [refl, [$fot('==>'('==>'('==>'(1, 1), X_1098), X_792))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_264, plain,
% 147.32/147.52 ('==>'('==>'(1, 1), X_1098) != X_1098 |
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792) !=
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792) |
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792) = '==>'(X_1098, X_792)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(1, 1), X_1098), X_792),
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792))), [1, 0],
% 147.32/147.52 $fot(X_1098)]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_265, plain,
% 147.32/147.52 ('==>'('==>'(1, 1), X_1098) != X_1098 |
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792) = '==>'(X_1098, X_792)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(1, 1), X_1098), X_792),
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792)))],
% 147.32/147.52 [refute_0_263, refute_0_264])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_266, plain,
% 147.32/147.52 ('==>'('==>'('==>'(1, 1), X_1098), X_792) = '==>'(X_1098, X_792)),
% 147.32/147.52 inference(resolve, [$cnf($equal('==>'('==>'(1, 1), X_1098), X_1098))],
% 147.32/147.52 [refute_0_262, refute_0_265])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_267, plain,
% 147.32/147.52 ('==>'('==>'(X_792, 1), '==>'(X_1098, 1)) !=
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792) |
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792) != '==>'(X_1098, X_792) |
% 147.32/147.52 '==>'('==>'(X_792, 1), '==>'(X_1098, 1)) = '==>'(X_1098, X_792)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf(~ $equal('==>'('==>'(X_792, 1), '==>'(X_1098, 1)),
% 147.32/147.52 '==>'(X_1098, X_792))), [0],
% 147.32/147.52 $fot('==>'('==>'('==>'(1, 1), X_1098), X_792))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_268, plain,
% 147.32/147.52 ('==>'('==>'(X_792, 1), '==>'(X_1098, 1)) !=
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792) |
% 147.32/147.52 '==>'('==>'(X_792, 1), '==>'(X_1098, 1)) = '==>'(X_1098, X_792)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(1, 1), X_1098), X_792),
% 147.32/147.52 '==>'(X_1098, X_792)))],
% 147.32/147.52 [refute_0_266, refute_0_267])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_269, plain,
% 147.32/147.52 ('==>'('==>'(X_792, 1), '==>'(X_1098, 1)) = '==>'(X_1098, X_792)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'(X_792, 1), '==>'(X_1098, 1)),
% 147.32/147.52 '==>'('==>'('==>'(1, 1), X_1098), X_792)))],
% 147.32/147.52 [refute_0_253, refute_0_268])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_270, plain,
% 147.32/147.52 ('==>'('==>'(X_1353, 1), '==>'(X_791, 1)) = '==>'(X_791, X_1353)),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_269 :
% 147.32/147.52 [bind(X_1098, $fot(X_791)), bind(X_792, $fot(X_1353))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_271, plain,
% 147.32/147.52 ('==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353) =
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [refl,
% 147.32/147.52 [$fot('==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_272, plain,
% 147.32/147.52 ('==>'('==>'(X_1353, 1), '==>'(X_791, 1)) != '==>'(X_791, X_1353) |
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353) !=
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353) |
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353) =
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(X_1353, 1),
% 147.32/147.52 '==>'(X_791, 1)), X_1353),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))), [1, 0],
% 147.32/147.52 $fot('==>'(X_791, X_1353))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_273, plain,
% 147.32/147.52 ('==>'('==>'(X_1353, 1), '==>'(X_791, 1)) != '==>'(X_791, X_1353) |
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353) =
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))], [refute_0_271, refute_0_272])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_274, plain,
% 147.32/147.52 ('==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353) =
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 '==>'(X_791, X_1353)))],
% 147.32/147.52 [refute_0_270, refute_0_273])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_275, plain,
% 147.32/147.52 (add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [refl,
% 147.32/147.52 [$fot(add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_276, plain,
% 147.32/147.52 (add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) !=
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) |
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353) !=
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353) |
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)),
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))), [1, 1],
% 147.32/147.52 $fot('==>'('==>'(X_791, X_1353), X_1353))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_277, plain,
% 147.32/147.52 ('==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353) !=
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353) |
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)),
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))))], [refute_0_275, refute_0_276])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_278, plain,
% 147.32/147.52 (add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353), '==>'('==>'(X_791, X_1353), X_1353)))],
% 147.32/147.52 [refute_0_274, refute_0_277])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_279, plain, ('==>'('==>'(X_1353, 1), 1) = X_1353),
% 147.32/147.52 inference(subst, [], [refute_0_175 : [bind(A, $fot(X_1353))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_280, plain,
% 147.32/147.52 ('==>'('==>'('==>'(X_1353, 1), 1), X_791) =
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [refl, [$fot('==>'('==>'('==>'(X_1353, 1), 1), X_791))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_281, plain,
% 147.32/147.52 ('==>'('==>'(X_1353, 1), 1) != X_1353 |
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791) !=
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791) |
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791) = '==>'(X_1353, X_791)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791))), [1, 0],
% 147.32/147.52 $fot(X_1353)]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_282, plain,
% 147.32/147.52 ('==>'('==>'(X_1353, 1), 1) != X_1353 |
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791) = '==>'(X_1353, X_791)),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791)))],
% 147.32/147.52 [refute_0_280, refute_0_281])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_283, plain,
% 147.32/147.52 ('==>'('==>'('==>'(X_1353, 1), 1), X_791) = '==>'(X_1353, X_791)),
% 147.32/147.52 inference(resolve, [$cnf($equal('==>'('==>'(X_1353, 1), 1), X_1353))],
% 147.32/147.52 [refute_0_279, refute_0_282])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_284, plain,
% 147.32/147.52 (add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [refl,
% 147.32/147.52 [$fot(add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_285, plain,
% 147.32/147.52 (add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) !=
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) |
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), 1), X_791) != '==>'(X_1353, X_791) |
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))), [1, 0],
% 147.32/147.52 $fot('==>'(X_1353, X_791))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_286, plain,
% 147.32/147.52 ('==>'('==>'('==>'(X_1353, 1), 1), X_791) != '==>'(X_1353, X_791) |
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))))], [refute_0_284, refute_0_285])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_287, plain,
% 147.32/147.52 (add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'(X_1353, X_791)))],
% 147.32/147.52 [refute_0_283, refute_0_286])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_288, plain,
% 147.32/147.52 (add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) !=
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)) |
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) !=
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) |
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_218 :
% 147.32/147.52 [bind(X,
% 147.32/147.52 $fot(add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))),
% 147.32/147.52 bind(Y,
% 147.32/147.52 $fot(add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))),
% 147.32/147.52 bind(Z,
% 147.32/147.52 $fot(add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_289, plain,
% 147.32/147.52 (add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) !=
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)) |
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)),
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))))], [refute_0_287, refute_0_288])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_290, plain,
% 147.32/147.52 (add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) =
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)),
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353))))],
% 147.32/147.52 [refute_0_278, refute_0_289])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_291, plain,
% 147.32/147.52 (add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [refl,
% 147.32/147.52 [$fot(add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_292, plain,
% 147.32/147.52 (add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) !=
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) |
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) !=
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)) |
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))),
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))))), [1, 1],
% 147.32/147.52 $fot(add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_293, plain,
% 147.32/147.52 (add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353)) !=
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)) |
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))),
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))))], [refute_0_291, refute_0_292])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_294, plain,
% 147.32/147.52 (add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)),
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353))))],
% 147.32/147.52 [refute_0_290, refute_0_293])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_295, plain,
% 147.32/147.52 (add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) !=
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353))) |
% 147.32/147.52 1 !=
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) |
% 147.32/147.52 1 =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)))),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))))), [1],
% 147.32/147.52 $fot(add('==>'(X_791, 1),
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_296, plain,
% 147.32/147.52 (1 !=
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)), X_1353))) |
% 147.32/147.52 1 =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353))),
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'(X_1353, X_791),
% 147.32/147.52 '==>'('==>'(X_791, X_1353), X_1353)))))],
% 147.32/147.52 [refute_0_294, refute_0_295])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_297, plain,
% 147.32/147.52 (1 =
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'(X_1353, X_791), '==>'('==>'(X_791, X_1353), X_1353)))),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(X_791, 1),
% 147.32/147.52 add('==>'('==>'('==>'(X_1353, 1), 1), X_791),
% 147.32/147.52 '==>'('==>'('==>'(X_1353, 1), '==>'(X_791, 1)),
% 147.32/147.52 X_1353)))))], [refute_0_248, refute_0_296])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_298, plain,
% 147.32/147.52 (1 =
% 147.32/147.52 add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617), '==>'('==>'(X_1617, X_1616), X_1616)))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_297 :
% 147.32/147.52 [bind(X_1353, $fot(X_1616)), bind(X_791, $fot(X_1617))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_299, plain,
% 147.32/147.52 (1 !=
% 147.32/147.52 add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617), '==>'('==>'(X_1617, X_1616), X_1616))) |
% 147.32/147.52 add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617), '==>'('==>'(X_1617, X_1616), X_1616))) =
% 147.32/147.52 1),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_24 :
% 147.32/147.52 [bind(X, $fot(1)),
% 147.32/147.52 bind(Y,
% 147.32/147.52 $fot(add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_300, plain,
% 147.32/147.52 (add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617), '==>'('==>'(X_1617, X_1616), X_1616))) =
% 147.32/147.52 1),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(1,
% 147.32/147.52 add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)))))],
% 147.32/147.52 [refute_0_298, refute_0_299])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_301, plain,
% 147.32/147.52 (add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617), '==>'('==>'(X_1617, X_1616), X_1616))) !=
% 147.32/147.52 1 |
% 147.32/147.52 '==>'(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.32/147.52 '==>'('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616))))) != 0 |
% 147.32/147.52 '==>'(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.32/147.52 '==>'('==>'(X_1617, 1), 1)) = 0),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf($equal('==>'(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.32/147.52 '==>'('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616))))),
% 147.32/147.52 0)), [0, 1, 1], $fot(1)]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_302, plain,
% 147.32/147.52 ('==>'(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.32/147.52 '==>'('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616))))) != 0 |
% 147.32/147.52 '==>'(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.32/147.52 '==>'('==>'(X_1617, 1), 1)) = 0),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal(add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616))), 1))],
% 147.32/147.52 [refute_0_300, refute_0_301])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_303, plain,
% 147.32/147.52 ('==>'(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.32/147.52 '==>'('==>'(X_1617, 1), 1)) = 0),
% 147.32/147.52 inference(resolve,
% 147.32/147.52 [$cnf($equal('==>'(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.32/147.52 '==>'('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1617, 1),
% 147.32/147.52 add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616))))),
% 147.32/147.52 0))], [refute_0_147, refute_0_302])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_304, plain,
% 147.32/147.52 ('==>'('==>'(X_1617, 1),
% 147.32/147.52 '==>'(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)), 1)) =
% 147.32/147.52 '==>'(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617)),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_269 :
% 147.32/147.52 [bind(X_1098,
% 147.32/147.52 $fot(add('==>'(X_1616, X_1617),
% 147.32/147.52 '==>'('==>'(X_1617, X_1616), X_1616)))),
% 147.32/147.52 bind(X_792, $fot(X_1617))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_305, plain,
% 147.32/147.52 (~
% 147.32/147.52 greater_equal('==>'(X_1489, '==>'(X_1490, 1)),
% 147.32/147.52 '==>'(X_1490, '==>'(X_1489, 1))) |
% 147.32/147.52 ~
% 147.32/147.52 greater_equal('==>'(X_1490, '==>'(X_1489, 1)),
% 147.32/147.52 '==>'(X_1489, '==>'(X_1490, 1))) |
% 147.32/147.52 '==>'(X_1489, '==>'(X_1490, 1)) = '==>'(X_1490, '==>'(X_1489, 1))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_1 :
% 147.32/147.52 [bind(X3, $fot('==>'(X_1489, '==>'(X_1490, 1)))),
% 147.32/147.52 bind(X4, $fot('==>'(X_1490, '==>'(X_1489, 1))))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_306, plain,
% 147.32/147.52 (~
% 147.32/147.52 greater_equal(add(X_476, '==>'(X_477, '==>'(X_476, 1))),
% 147.32/147.52 '==>'('==>'(0, X_477), 1)) |
% 147.32/147.52 greater_equal('==>'(X_477, '==>'(X_476, 1)),
% 147.32/147.52 '==>'(X_476, '==>'('==>'(0, X_477), 1)))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_3 :
% 147.32/147.52 [bind(X5, $fot(X_476)),
% 147.32/147.52 bind(X6, $fot('==>'(X_477, '==>'(X_476, 1)))),
% 147.32/147.52 bind(X7, $fot('==>'('==>'(0, X_477), 1)))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_307, plain,
% 147.32/147.52 (~ greater_equal('==>'(0, X_108), X_108) |
% 147.32/147.52 greater_equal(add('==>'(0, X_108), X10), add(X_108, X10))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_7 :
% 147.32/147.52 [bind(X8, $fot('==>'(0, X_108))), bind(X9, $fot(X_108))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_308, plain, (greater_equal('==>'(0, X_108), X_108)),
% 147.32/147.52 inference(subst, [], [refute_0_93 : [bind(X_106, $fot(X_108))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_309, plain,
% 147.32/147.52 (greater_equal(add('==>'(0, X_108), X10), add(X_108, X10))),
% 147.32/147.52 inference(resolve, [$cnf(greater_equal('==>'(0, X_108), X_108))],
% 147.32/147.52 [refute_0_308, refute_0_307])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_310, plain,
% 147.32/147.52 (greater_equal(add('==>'(0, X_124),
% 147.32/147.52 add('==>'(X_124, X_33), '==>'(X_33, 1))),
% 147.32/147.52 add(X_124, add('==>'(X_124, X_33), '==>'(X_33, 1))))),
% 147.32/147.52 inference(subst, [],
% 147.32/147.52 [refute_0_309 :
% 147.32/147.52 [bind(X10, $fot(add('==>'(X_124, X_33), '==>'(X_33, 1)))),
% 147.32/147.52 bind(X_108, $fot(X_124))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_311, plain,
% 147.32/147.52 (add(X_124, add('==>'(X_124, X_33), '==>'(X_33, 1))) = 1),
% 147.32/147.52 inference(subst, [], [refute_0_224 : [bind(B, $fot(X_124))]])).
% 147.32/147.52
% 147.32/147.52 cnf(refute_0_312, plain,
% 147.32/147.52 (add(X_124, add('==>'(X_124, X_33), '==>'(X_33, 1))) != 1 |
% 147.32/147.52 ~
% 147.32/147.52 greater_equal(add('==>'(0, X_124),
% 147.32/147.52 add('==>'(X_124, X_33), '==>'(X_33, 1))),
% 147.32/147.52 add(X_124, add('==>'(X_124, X_33), '==>'(X_33, 1)))) |
% 147.32/147.52 greater_equal(add('==>'(0, X_124),
% 147.32/147.52 add('==>'(X_124, X_33), '==>'(X_33, 1))), 1)),
% 147.32/147.52 introduced(tautology,
% 147.32/147.52 [equality,
% 147.32/147.52 [$cnf(greater_equal(add('==>'(0, X_124),
% 147.32/147.52 add('==>'(X_124, X_33), '==>'(X_33, 1))),
% 147.32/147.52 add(X_124,
% 147.32/147.52 add('==>'(X_124, X_33), '==>'(X_33, 1))))), [1],
% 147.32/147.52 $fot(1)]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_313, plain,
% 147.32/147.53 (~
% 147.32/147.53 greater_equal(add('==>'(0, X_124),
% 147.32/147.53 add('==>'(X_124, X_33), '==>'(X_33, 1))),
% 147.32/147.53 add(X_124, add('==>'(X_124, X_33), '==>'(X_33, 1)))) |
% 147.32/147.53 greater_equal(add('==>'(0, X_124),
% 147.32/147.53 add('==>'(X_124, X_33), '==>'(X_33, 1))), 1)),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf($equal(add(X_124,
% 147.32/147.53 add('==>'(X_124, X_33), '==>'(X_33, 1))), 1))],
% 147.32/147.53 [refute_0_311, refute_0_312])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_314, plain,
% 147.32/147.53 (greater_equal(add('==>'(0, X_124),
% 147.32/147.53 add('==>'(X_124, X_33), '==>'(X_33, 1))), 1)),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf(greater_equal(add('==>'(0, X_124),
% 147.32/147.53 add('==>'(X_124, X_33), '==>'(X_33, 1))),
% 147.32/147.53 add(X_124,
% 147.32/147.53 add('==>'(X_124, X_33), '==>'(X_33, 1)))))],
% 147.32/147.53 [refute_0_310, refute_0_313])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_315, plain,
% 147.32/147.53 (~
% 147.32/147.53 greater_equal(add('==>'(0, X_124),
% 147.32/147.53 add('==>'(X_124, X_33), '==>'(X_33, 1))), 1) |
% 147.32/147.53 greater_equal(add('==>'(X_124, X_33), '==>'(X_33, 1)),
% 147.32/147.53 '==>'('==>'(0, X_124), 1))),
% 147.32/147.53 inference(subst, [],
% 147.32/147.53 [refute_0_3 :
% 147.32/147.53 [bind(X5, $fot('==>'(0, X_124))),
% 147.32/147.53 bind(X6, $fot(add('==>'(X_124, X_33), '==>'(X_33, 1)))),
% 147.32/147.53 bind(X7, $fot(1))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_316, plain,
% 147.32/147.53 (greater_equal(add('==>'(X_124, X_33), '==>'(X_33, 1)),
% 147.32/147.53 '==>'('==>'(0, X_124), 1))),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf(greater_equal(add('==>'(0, X_124),
% 147.32/147.53 add('==>'(X_124, X_33), '==>'(X_33, 1))), 1))],
% 147.32/147.53 [refute_0_314, refute_0_315])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_317, plain,
% 147.32/147.53 (greater_equal(add('==>'(X_417, '==>'(A, 1)), '==>'('==>'(A, 1), 1)),
% 147.32/147.53 '==>'('==>'(0, X_417), 1))),
% 147.32/147.53 inference(subst, [],
% 147.32/147.53 [refute_0_316 :
% 147.32/147.53 [bind(X_124, $fot(X_417)),
% 147.32/147.53 bind(X_33, $fot('==>'(A, 1)))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_318, plain,
% 147.32/147.53 ('==>'('==>'(A, 1), 1) != A |
% 147.32/147.53 ~
% 147.32/147.53 greater_equal(add('==>'(X_417, '==>'(A, 1)), '==>'('==>'(A, 1), 1)),
% 147.32/147.53 '==>'('==>'(0, X_417), 1)) |
% 147.32/147.53 greater_equal(add('==>'(X_417, '==>'(A, 1)), A),
% 147.32/147.53 '==>'('==>'(0, X_417), 1))),
% 147.32/147.53 introduced(tautology,
% 147.32/147.53 [equality,
% 147.32/147.53 [$cnf(greater_equal(add('==>'(X_417, '==>'(A, 1)),
% 147.32/147.53 '==>'('==>'(A, 1), 1)),
% 147.32/147.53 '==>'('==>'(0, X_417), 1))), [0, 1], $fot(A)]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_319, plain,
% 147.32/147.53 (~
% 147.32/147.53 greater_equal(add('==>'(X_417, '==>'(A, 1)), '==>'('==>'(A, 1), 1)),
% 147.32/147.53 '==>'('==>'(0, X_417), 1)) |
% 147.32/147.53 greater_equal(add('==>'(X_417, '==>'(A, 1)), A),
% 147.32/147.53 '==>'('==>'(0, X_417), 1))),
% 147.32/147.53 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), 1), A))],
% 147.32/147.53 [refute_0_175, refute_0_318])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_320, plain,
% 147.32/147.53 (greater_equal(add('==>'(X_417, '==>'(A, 1)), A),
% 147.32/147.53 '==>'('==>'(0, X_417), 1))),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf(greater_equal(add('==>'(X_417, '==>'(A, 1)),
% 147.32/147.53 '==>'('==>'(A, 1), 1)),
% 147.32/147.53 '==>'('==>'(0, X_417), 1)))],
% 147.32/147.53 [refute_0_317, refute_0_319])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_321, plain,
% 147.32/147.53 (add('==>'(X_417, '==>'(A, 1)), A) =
% 147.32/147.53 add(A, '==>'(X_417, '==>'(A, 1)))),
% 147.32/147.53 inference(subst, [],
% 147.32/147.53 [refute_0_215 :
% 147.32/147.53 [bind(B, $fot('==>'(X_417, '==>'(A, 1))))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_322, plain,
% 147.32/147.53 (add('==>'(X_417, '==>'(A, 1)), A) !=
% 147.32/147.53 add(A, '==>'(X_417, '==>'(A, 1))) |
% 147.32/147.53 ~
% 147.32/147.53 greater_equal(add('==>'(X_417, '==>'(A, 1)), A),
% 147.32/147.53 '==>'('==>'(0, X_417), 1)) |
% 147.32/147.53 greater_equal(add(A, '==>'(X_417, '==>'(A, 1))),
% 147.32/147.53 '==>'('==>'(0, X_417), 1))),
% 147.32/147.53 introduced(tautology,
% 147.32/147.53 [equality,
% 147.32/147.53 [$cnf(greater_equal(add('==>'(X_417, '==>'(A, 1)), A),
% 147.32/147.53 '==>'('==>'(0, X_417), 1))), [0],
% 147.32/147.53 $fot(add(A, '==>'(X_417, '==>'(A, 1))))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_323, plain,
% 147.32/147.53 (~
% 147.32/147.53 greater_equal(add('==>'(X_417, '==>'(A, 1)), A),
% 147.32/147.53 '==>'('==>'(0, X_417), 1)) |
% 147.32/147.53 greater_equal(add(A, '==>'(X_417, '==>'(A, 1))),
% 147.32/147.53 '==>'('==>'(0, X_417), 1))),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf($equal(add('==>'(X_417, '==>'(A, 1)), A),
% 147.32/147.53 add(A, '==>'(X_417, '==>'(A, 1)))))],
% 147.32/147.53 [refute_0_321, refute_0_322])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_324, plain,
% 147.32/147.53 (greater_equal(add(A, '==>'(X_417, '==>'(A, 1))),
% 147.32/147.53 '==>'('==>'(0, X_417), 1))),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf(greater_equal(add('==>'(X_417, '==>'(A, 1)), A),
% 147.32/147.53 '==>'('==>'(0, X_417), 1)))],
% 147.32/147.53 [refute_0_320, refute_0_323])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_325, plain,
% 147.32/147.53 (greater_equal(add(X_476, '==>'(X_477, '==>'(X_476, 1))),
% 147.32/147.53 '==>'('==>'(0, X_477), 1))),
% 147.32/147.53 inference(subst, [],
% 147.32/147.53 [refute_0_324 :
% 147.32/147.53 [bind(A, $fot(X_476)), bind(X_417, $fot(X_477))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_326, plain,
% 147.32/147.53 (greater_equal('==>'(X_477, '==>'(X_476, 1)),
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1)))),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf(greater_equal(add(X_476,
% 147.32/147.53 '==>'(X_477, '==>'(X_476, 1))),
% 147.32/147.53 '==>'('==>'(0, X_477), 1)))],
% 147.32/147.53 [refute_0_325, refute_0_306])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_327, plain, ('==>'(0, X_477) = X_477),
% 147.32/147.53 inference(subst, [], [refute_0_118 : [bind(X_676, $fot(X_477))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_328, plain,
% 147.32/147.53 ('==>'('==>'(0, X_477), 1) = '==>'('==>'(0, X_477), 1)),
% 147.32/147.53 introduced(tautology, [refl, [$fot('==>'('==>'(0, X_477), 1))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_329, plain,
% 147.32/147.53 ('==>'(0, X_477) != X_477 |
% 147.32/147.53 '==>'('==>'(0, X_477), 1) != '==>'('==>'(0, X_477), 1) |
% 147.32/147.53 '==>'('==>'(0, X_477), 1) = '==>'(X_477, 1)),
% 147.32/147.53 introduced(tautology,
% 147.32/147.53 [equality,
% 147.32/147.53 [$cnf($equal('==>'('==>'(0, X_477), 1),
% 147.32/147.53 '==>'('==>'(0, X_477), 1))), [1, 0],
% 147.32/147.53 $fot(X_477)]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_330, plain,
% 147.32/147.53 ('==>'(0, X_477) != X_477 |
% 147.32/147.53 '==>'('==>'(0, X_477), 1) = '==>'(X_477, 1)),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf($equal('==>'('==>'(0, X_477), 1),
% 147.32/147.53 '==>'('==>'(0, X_477), 1)))],
% 147.32/147.53 [refute_0_328, refute_0_329])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_331, plain, ('==>'('==>'(0, X_477), 1) = '==>'(X_477, 1)),
% 147.32/147.53 inference(resolve, [$cnf($equal('==>'(0, X_477), X_477))],
% 147.32/147.53 [refute_0_327, refute_0_330])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_332, plain,
% 147.32/147.53 ('==>'(X_476, '==>'('==>'(0, X_477), 1)) =
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1))),
% 147.32/147.53 introduced(tautology,
% 147.32/147.53 [refl, [$fot('==>'(X_476, '==>'('==>'(0, X_477), 1)))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_333, plain,
% 147.32/147.53 ('==>'(X_476, '==>'('==>'(0, X_477), 1)) !=
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1)) |
% 147.32/147.53 '==>'('==>'(0, X_477), 1) != '==>'(X_477, 1) |
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1)) =
% 147.32/147.53 '==>'(X_476, '==>'(X_477, 1))),
% 147.32/147.53 introduced(tautology,
% 147.32/147.53 [equality,
% 147.32/147.53 [$cnf($equal('==>'(X_476, '==>'('==>'(0, X_477), 1)),
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1)))), [1, 1],
% 147.32/147.53 $fot('==>'(X_477, 1))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_334, plain,
% 147.32/147.53 ('==>'('==>'(0, X_477), 1) != '==>'(X_477, 1) |
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1)) =
% 147.32/147.53 '==>'(X_476, '==>'(X_477, 1))),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf($equal('==>'(X_476, '==>'('==>'(0, X_477), 1)),
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1))))],
% 147.32/147.53 [refute_0_332, refute_0_333])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_335, plain,
% 147.32/147.53 ('==>'(X_476, '==>'('==>'(0, X_477), 1)) =
% 147.32/147.53 '==>'(X_476, '==>'(X_477, 1))),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf($equal('==>'('==>'(0, X_477), 1), '==>'(X_477, 1)))],
% 147.32/147.53 [refute_0_331, refute_0_334])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_336, plain,
% 147.32/147.53 ('==>'(X_476, '==>'('==>'(0, X_477), 1)) !=
% 147.32/147.53 '==>'(X_476, '==>'(X_477, 1)) |
% 147.32/147.53 ~
% 147.32/147.53 greater_equal('==>'(X_477, '==>'(X_476, 1)),
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1))) |
% 147.32/147.53 greater_equal('==>'(X_477, '==>'(X_476, 1)),
% 147.32/147.53 '==>'(X_476, '==>'(X_477, 1)))),
% 147.32/147.53 introduced(tautology,
% 147.32/147.53 [equality,
% 147.32/147.53 [$cnf(greater_equal('==>'(X_477, '==>'(X_476, 1)),
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1)))), [1],
% 147.32/147.53 $fot('==>'(X_476, '==>'(X_477, 1)))]])).
% 147.32/147.53
% 147.32/147.53 cnf(refute_0_337, plain,
% 147.32/147.53 (~
% 147.32/147.53 greater_equal('==>'(X_477, '==>'(X_476, 1)),
% 147.32/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1))) |
% 147.32/147.53 greater_equal('==>'(X_477, '==>'(X_476, 1)),
% 147.32/147.53 '==>'(X_476, '==>'(X_477, 1)))),
% 147.32/147.53 inference(resolve,
% 147.32/147.53 [$cnf($equal('==>'(X_476, '==>'('==>'(0, X_477), 1)),
% 147.32/147.53 '==>'(X_476, '==>'(X_477, 1))))],
% 147.32/147.53 [refute_0_335, refute_0_336])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_338, plain,
% 147.35/147.53 (greater_equal('==>'(X_477, '==>'(X_476, 1)),
% 147.35/147.53 '==>'(X_476, '==>'(X_477, 1)))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal('==>'(X_477, '==>'(X_476, 1)),
% 147.35/147.53 '==>'(X_476, '==>'('==>'(0, X_477), 1))))],
% 147.35/147.53 [refute_0_326, refute_0_337])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_339, plain,
% 147.35/147.53 (greater_equal('==>'(X_1490, '==>'(X_1489, 1)),
% 147.35/147.53 '==>'(X_1489, '==>'(X_1490, 1)))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_338 :
% 147.35/147.53 [bind(X_476, $fot(X_1489)), bind(X_477, $fot(X_1490))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_340, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal('==>'(X_1489, '==>'(X_1490, 1)),
% 147.35/147.53 '==>'(X_1490, '==>'(X_1489, 1))) |
% 147.35/147.53 '==>'(X_1489, '==>'(X_1490, 1)) = '==>'(X_1490, '==>'(X_1489, 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal('==>'(X_1490, '==>'(X_1489, 1)),
% 147.35/147.53 '==>'(X_1489, '==>'(X_1490, 1))))],
% 147.35/147.53 [refute_0_339, refute_0_305])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_341, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal(add(X_1167, '==>'(X_1168, '==>'(X_1167, 1))),
% 147.35/147.53 '==>'(X_1168, X_1169)) |
% 147.35/147.53 greater_equal('==>'(X_1168, '==>'(X_1167, 1)),
% 147.35/147.53 '==>'(X_1167, '==>'(X_1168, X_1169)))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_3 :
% 147.35/147.53 [bind(X5, $fot(X_1167)),
% 147.35/147.53 bind(X6, $fot('==>'(X_1168, '==>'(X_1167, 1)))),
% 147.35/147.53 bind(X7, $fot('==>'(X_1168, X_1169)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_342, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal(add(X_379, add(A, '==>'(X_379, '==>'(A, 1)))),
% 147.35/147.53 X_381) |
% 147.35/147.53 greater_equal(add(A, '==>'(X_379, '==>'(A, 1))),
% 147.35/147.53 '==>'(X_379, X_381))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_3 :
% 147.35/147.53 [bind(X5, $fot(X_379)),
% 147.35/147.53 bind(X6, $fot(add(A, '==>'(X_379, '==>'(A, 1))))),
% 147.35/147.53 bind(X7, $fot(X_381))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_343, plain,
% 147.35/147.53 (add(X_57, add('==>'(X_57, '==>'(A, 1)), '==>'('==>'(A, 1), 1))) = 1),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_224 :
% 147.35/147.53 [bind(B, $fot(X_57)), bind(X_33, $fot('==>'(A, 1)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_344, plain,
% 147.35/147.53 (add(X_57, add('==>'(X_57, '==>'(A, 1)), '==>'('==>'(A, 1), 1))) != 1 |
% 147.35/147.53 '==>'('==>'(A, 1), 1) != A |
% 147.35/147.53 add(X_57, add('==>'(X_57, '==>'(A, 1)), A)) = 1),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal(add(X_57,
% 147.35/147.53 add('==>'(X_57, '==>'(A, 1)),
% 147.35/147.53 '==>'('==>'(A, 1), 1))), 1)), [0, 1, 1],
% 147.35/147.53 $fot(A)]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_345, plain,
% 147.35/147.53 (add(X_57, add('==>'(X_57, '==>'(A, 1)), '==>'('==>'(A, 1), 1))) != 1 |
% 147.35/147.53 add(X_57, add('==>'(X_57, '==>'(A, 1)), A)) = 1),
% 147.35/147.53 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), 1), A))],
% 147.35/147.53 [refute_0_175, refute_0_344])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_346, plain, (add(X_57, add('==>'(X_57, '==>'(A, 1)), A)) = 1),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(X_57,
% 147.35/147.53 add('==>'(X_57, '==>'(A, 1)),
% 147.35/147.53 '==>'('==>'(A, 1), 1))), 1))],
% 147.35/147.53 [refute_0_343, refute_0_345])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_347, plain, (add(X_15, X_14) = add(X_14, X_15)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_11 : [bind(A, $fot(X_15)), bind(B, $fot(X_14))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_348, plain,
% 147.35/147.53 (add(X_15, X_14) != add(X_14, X_15) |
% 147.35/147.53 add(X_14, X_15) = add(X_15, X_14)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_24 :
% 147.35/147.53 [bind(X, $fot(add(X_15, X_14))),
% 147.35/147.53 bind(Y, $fot(add(X_14, X_15)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_349, plain, (add(X_14, X_15) = add(X_15, X_14)),
% 147.35/147.53 inference(resolve, [$cnf($equal(add(X_15, X_14), add(X_14, X_15)))],
% 147.35/147.53 [refute_0_347, refute_0_348])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_350, plain,
% 147.35/147.53 (add(X_14, X_15) != add(X_15, X_14) |
% 147.35/147.53 add(add(X_13, X_14), X_15) != add(X_13, add(X_14, X_15)) |
% 147.35/147.53 add(add(X_13, X_14), X_15) = add(X_13, add(X_15, X_14))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal(add(add(X_13, X_14), X_15),
% 147.35/147.53 add(X_13, add(X_14, X_15)))), [1, 1],
% 147.35/147.53 $fot(add(X_15, X_14))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_351, plain,
% 147.35/147.53 (add(add(X_13, X_14), X_15) != add(X_13, add(X_14, X_15)) |
% 147.35/147.53 add(add(X_13, X_14), X_15) = add(X_13, add(X_15, X_14))),
% 147.35/147.53 inference(resolve, [$cnf($equal(add(X_14, X_15), add(X_15, X_14)))],
% 147.35/147.53 [refute_0_349, refute_0_350])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_352, plain,
% 147.35/147.53 (add(add(X_13, X_14), X_15) = add(X_13, add(X_15, X_14))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(add(X_13, X_14), X_15),
% 147.35/147.53 add(X_13, add(X_14, X_15))))],
% 147.35/147.53 [refute_0_44, refute_0_351])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_353, plain,
% 147.35/147.53 (add(add(X_13, X_14), X_15) != add(X_13, add(X_14, X_15)) |
% 147.35/147.53 add(add(X_13, X_14), X_15) != add(X_13, add(X_15, X_14)) |
% 147.35/147.53 add(X_13, add(X_14, X_15)) = add(X_13, add(X_15, X_14))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal(add(add(X_13, X_14), X_15),
% 147.35/147.53 add(X_13, add(X_15, X_14)))), [0],
% 147.35/147.53 $fot(add(X_13, add(X_14, X_15)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_354, plain,
% 147.35/147.53 (add(add(X_13, X_14), X_15) != add(X_13, add(X_15, X_14)) |
% 147.35/147.53 add(X_13, add(X_14, X_15)) = add(X_13, add(X_15, X_14))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(add(X_13, X_14), X_15),
% 147.35/147.53 add(X_13, add(X_14, X_15))))],
% 147.35/147.53 [refute_0_44, refute_0_353])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_355, plain,
% 147.35/147.53 (add(X_13, add(X_14, X_15)) = add(X_13, add(X_15, X_14))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(add(X_13, X_14), X_15),
% 147.35/147.53 add(X_13, add(X_15, X_14))))],
% 147.35/147.53 [refute_0_352, refute_0_354])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_356, plain,
% 147.35/147.53 (add(X_13, add(X_14, X_15)) != add(X_13, add(X_15, X_14)) |
% 147.35/147.53 add(X_13, add(X_15, X_14)) = add(X_13, add(X_14, X_15))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_24 :
% 147.35/147.53 [bind(X, $fot(add(X_13, add(X_14, X_15)))),
% 147.35/147.53 bind(Y, $fot(add(X_13, add(X_15, X_14))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_357, plain,
% 147.35/147.53 (add(X_13, add(X_15, X_14)) = add(X_13, add(X_14, X_15))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(X_13, add(X_14, X_15)),
% 147.35/147.53 add(X_13, add(X_15, X_14))))],
% 147.35/147.53 [refute_0_355, refute_0_356])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_358, plain,
% 147.35/147.53 (add(X_57, add('==>'(X_57, '==>'(A, 1)), A)) =
% 147.35/147.53 add(X_57, add(A, '==>'(X_57, '==>'(A, 1))))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_357 :
% 147.35/147.53 [bind(X_13, $fot(X_57)), bind(X_14, $fot(A)),
% 147.35/147.53 bind(X_15, $fot('==>'(X_57, '==>'(A, 1))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_359, plain,
% 147.35/147.53 (add(X_57, add('==>'(X_57, '==>'(A, 1)), A)) !=
% 147.35/147.53 add(X_57, add(A, '==>'(X_57, '==>'(A, 1)))) |
% 147.35/147.53 add(X_57, add('==>'(X_57, '==>'(A, 1)), A)) != 1 |
% 147.35/147.53 add(X_57, add(A, '==>'(X_57, '==>'(A, 1)))) = 1),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal(add(X_57, add('==>'(X_57, '==>'(A, 1)), A)),
% 147.35/147.53 1)), [0],
% 147.35/147.53 $fot(add(X_57, add(A, '==>'(X_57, '==>'(A, 1)))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_360, plain,
% 147.35/147.53 (add(X_57, add('==>'(X_57, '==>'(A, 1)), A)) != 1 |
% 147.35/147.53 add(X_57, add(A, '==>'(X_57, '==>'(A, 1)))) = 1),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(X_57, add('==>'(X_57, '==>'(A, 1)), A)),
% 147.35/147.53 add(X_57, add(A, '==>'(X_57, '==>'(A, 1))))))],
% 147.35/147.53 [refute_0_358, refute_0_359])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_361, plain, (add(X_57, add(A, '==>'(X_57, '==>'(A, 1)))) = 1),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(X_57, add('==>'(X_57, '==>'(A, 1)), A)),
% 147.35/147.53 1))], [refute_0_346, refute_0_360])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_362, plain,
% 147.35/147.53 (add(X_379, add(A, '==>'(X_379, '==>'(A, 1)))) = 1),
% 147.35/147.53 inference(subst, [], [refute_0_361 : [bind(X_57, $fot(X_379))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_363, plain,
% 147.35/147.53 (add(X_379, add(A, '==>'(X_379, '==>'(A, 1)))) != 1 |
% 147.35/147.53 ~ greater_equal(1, X_381) |
% 147.35/147.53 greater_equal(add(X_379, add(A, '==>'(X_379, '==>'(A, 1)))), X_381)),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(~ greater_equal(add(X_379,
% 147.35/147.53 add(A, '==>'(X_379, '==>'(A, 1)))), X_381)), [0],
% 147.35/147.53 $fot(1)]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_364, plain,
% 147.35/147.53 (~ greater_equal(1, X_381) |
% 147.35/147.53 greater_equal(add(X_379, add(A, '==>'(X_379, '==>'(A, 1)))), X_381)),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(X_379, add(A, '==>'(X_379, '==>'(A, 1)))),
% 147.35/147.53 1))], [refute_0_362, refute_0_363])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_365, plain,
% 147.35/147.53 (~ greater_equal(1, X_381) |
% 147.35/147.53 greater_equal(add(A, '==>'(X_379, '==>'(A, 1))),
% 147.35/147.53 '==>'(X_379, X_381))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal(add(X_379,
% 147.35/147.53 add(A, '==>'(X_379, '==>'(A, 1)))), X_381))],
% 147.35/147.53 [refute_0_364, refute_0_342])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_366, plain, (greater_equal(add(1, X_100), X_100)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_19 :
% 147.35/147.53 [bind(X_97, $fot(X_100)), bind(X_98, $fot(1))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_367, plain, (add(1, X_100) = 1),
% 147.35/147.53 inference(subst, [], [refute_0_153 : [bind(A, $fot(X_100))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_368, plain,
% 147.35/147.53 (add(1, X_100) != 1 | ~ greater_equal(add(1, X_100), X_100) |
% 147.35/147.53 greater_equal(1, X_100)),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(greater_equal(add(1, X_100), X_100)), [0],
% 147.35/147.53 $fot(1)]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_369, plain,
% 147.35/147.53 (~ greater_equal(add(1, X_100), X_100) | greater_equal(1, X_100)),
% 147.35/147.53 inference(resolve, [$cnf($equal(add(1, X_100), 1))],
% 147.35/147.53 [refute_0_367, refute_0_368])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_370, plain, (greater_equal(1, X_100)),
% 147.35/147.53 inference(resolve, [$cnf(greater_equal(add(1, X_100), X_100))],
% 147.35/147.53 [refute_0_366, refute_0_369])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_371, plain, (greater_equal(1, X_381)),
% 147.35/147.53 inference(subst, [], [refute_0_370 : [bind(X_100, $fot(X_381))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_372, plain,
% 147.35/147.53 (greater_equal(add(A, '==>'(X_379, '==>'(A, 1))),
% 147.35/147.53 '==>'(X_379, X_381))),
% 147.35/147.53 inference(resolve, [$cnf(greater_equal(1, X_381))],
% 147.35/147.53 [refute_0_371, refute_0_365])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_373, plain,
% 147.35/147.53 (greater_equal(add(X_1167, '==>'(X_1168, '==>'(X_1167, 1))),
% 147.35/147.53 '==>'(X_1168, X_1169))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_372 :
% 147.35/147.53 [bind(A, $fot(X_1167)), bind(X_379, $fot(X_1168)),
% 147.35/147.53 bind(X_381, $fot(X_1169))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_374, plain,
% 147.35/147.53 (greater_equal('==>'(X_1168, '==>'(X_1167, 1)),
% 147.35/147.53 '==>'(X_1167, '==>'(X_1168, X_1169)))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal(add(X_1167,
% 147.35/147.53 '==>'(X_1168, '==>'(X_1167, 1))),
% 147.35/147.53 '==>'(X_1168, X_1169)))],
% 147.35/147.53 [refute_0_373, refute_0_341])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_375, plain,
% 147.35/147.53 (greater_equal('==>'(X_1489, '==>'(X_1490, 1)),
% 147.35/147.53 '==>'(X_1490, '==>'(X_1489, 1)))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_374 :
% 147.35/147.53 [bind(X_1167, $fot(X_1490)), bind(X_1168, $fot(X_1489)),
% 147.35/147.53 bind(X_1169, $fot(1))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_376, plain,
% 147.35/147.53 ('==>'(X_1489, '==>'(X_1490, 1)) = '==>'(X_1490, '==>'(X_1489, 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal('==>'(X_1489, '==>'(X_1490, 1)),
% 147.35/147.53 '==>'(X_1490, '==>'(X_1489, 1))))],
% 147.35/147.53 [refute_0_375, refute_0_340])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_377, plain,
% 147.35/147.53 ('==>'(X_1489, '==>'(X_1490, 1)) != '==>'(X_1490, '==>'(X_1489, 1)) |
% 147.35/147.53 '==>'(X_1490, '==>'(X_1489, 1)) = '==>'(X_1489, '==>'(X_1490, 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_24 :
% 147.35/147.53 [bind(X, $fot('==>'(X_1489, '==>'(X_1490, 1)))),
% 147.35/147.53 bind(Y, $fot('==>'(X_1490, '==>'(X_1489, 1))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_378, plain,
% 147.35/147.53 ('==>'(X_1490, '==>'(X_1489, 1)) = '==>'(X_1489, '==>'(X_1490, 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'(X_1489, '==>'(X_1490, 1)),
% 147.35/147.53 '==>'(X_1490, '==>'(X_1489, 1))))],
% 147.35/147.53 [refute_0_376, refute_0_377])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_379, plain,
% 147.35/147.53 ('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)) =
% 147.35/147.53 '==>'('==>'(X_1617, 1),
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_378 :
% 147.35/147.53 [bind(X_1489, $fot('==>'(X_1617, 1))),
% 147.35/147.53 bind(X_1490,
% 147.35/147.53 $fot(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_380, plain,
% 147.35/147.53 ('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)) !=
% 147.35/147.53 '==>'('==>'(X_1617, 1),
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), 1)) |
% 147.35/147.53 '==>'('==>'(X_1617, 1),
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), 1)) !=
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) |
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)) =
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_218 :
% 147.35/147.53 [bind(X,
% 147.35/147.53 $fot('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)))),
% 147.35/147.53 bind(Y,
% 147.35/147.53 $fot('==>'('==>'(X_1617, 1),
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 1)))),
% 147.35/147.53 bind(Z,
% 147.35/147.53 $fot('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 X_1617)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_381, plain,
% 147.35/147.53 ('==>'('==>'(X_1617, 1),
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), 1)) !=
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) |
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)) =
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617)),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)),
% 147.35/147.53 '==>'('==>'(X_1617, 1),
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), 1))))],
% 147.35/147.53 [refute_0_379, refute_0_380])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_382, plain,
% 147.35/147.53 ('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)) =
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617)),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'('==>'(X_1617, 1),
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), 1)),
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 X_1617)))], [refute_0_304, refute_0_381])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_383, plain,
% 147.35/147.53 ('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)) != 0 |
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)) !=
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) |
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) = 0),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)), 0)), [0],
% 147.35/147.53 $fot('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 X_1617))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_384, plain,
% 147.35/147.53 ('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)) != 0 |
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) = 0),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)),
% 147.35/147.53 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 X_1617)))], [refute_0_382, refute_0_383])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_385, plain,
% 147.35/147.53 ('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) = 0),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.53 '==>'('==>'(X_1617, X_1616), X_1616)),
% 147.35/147.53 '==>'('==>'(X_1617, 1), 1)), 0))],
% 147.35/147.53 [refute_0_303, refute_0_384])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_386, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal('==>'(X_1930, X_1929),
% 147.35/147.53 '==>'(add(X_1930, '==>'(X_1929, 1)), 1)) |
% 147.35/147.53 ~
% 147.35/147.53 greater_equal('==>'(add(X_1930, '==>'(X_1929, 1)), 1),
% 147.35/147.53 '==>'(X_1930, X_1929)) |
% 147.35/147.53 '==>'(X_1930, X_1929) = '==>'(add(X_1930, '==>'(X_1929, 1)), 1)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_1 :
% 147.35/147.53 [bind(X3, $fot('==>'(X_1930, X_1929))),
% 147.35/147.53 bind(X4,
% 147.35/147.53 $fot('==>'(add(X_1930, '==>'(X_1929, 1)), 1)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_387, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal(add(X_1928, '==>'(add(X_1928, '==>'(X_1927, 1)), 1)),
% 147.35/147.53 X_1927) |
% 147.35/147.53 greater_equal('==>'(add(X_1928, '==>'(X_1927, 1)), 1),
% 147.35/147.53 '==>'(X_1928, X_1927))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_3 :
% 147.35/147.53 [bind(X5, $fot(X_1928)),
% 147.35/147.53 bind(X6, $fot('==>'(add(X_1928, '==>'(X_1927, 1)), 1))),
% 147.35/147.53 bind(X7, $fot(X_1927))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_388, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal(add(X_379,
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))), X_381) |
% 147.35/147.53 greater_equal(add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 '==>'(X_379, X_381))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_3 :
% 147.35/147.53 [bind(X5, $fot(X_379)),
% 147.35/147.53 bind(X6,
% 147.35/147.53 $fot(add(X_45,
% 147.35/147.53 '==>'(0, '==>'(add(X_45, X_379), 1))))),
% 147.35/147.53 bind(X7, $fot(X_381))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_389, plain,
% 147.35/147.53 (add(add(A, B), '==>'(0, '==>'(add(A, B), 1))) =
% 147.35/147.53 add(A, add(B, '==>'(0, '==>'(add(A, B), 1))))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_43 :
% 147.35/147.53 [bind(C, $fot('==>'(0, '==>'(add(A, B), 1))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_390, plain,
% 147.35/147.53 (1 = add(X_16, add('==>'(X_16, 1), '==>'('==>'(X_16, 1), 0)))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_166 :
% 147.35/147.53 [bind(X_13, $fot(X_16)),
% 147.35/147.53 bind(X_15, $fot('==>'('==>'(X_16, 1), 0)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_391, plain,
% 147.35/147.53 (add('==>'(X_16, 1), '==>'('==>'(X_16, 1), 0)) =
% 147.35/147.53 '==>'(0, '==>'(X_16, 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_89 : [bind(X_10, $fot('==>'(X_16, 1)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_392, plain,
% 147.35/147.53 (add('==>'(X_16, 1), '==>'('==>'(X_16, 1), 0)) !=
% 147.35/147.53 '==>'(0, '==>'(X_16, 1)) |
% 147.35/147.53 1 != add(X_16, add('==>'(X_16, 1), '==>'('==>'(X_16, 1), 0))) |
% 147.35/147.53 1 = add(X_16, '==>'(0, '==>'(X_16, 1)))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal(1,
% 147.35/147.53 add(X_16,
% 147.35/147.53 add('==>'(X_16, 1), '==>'('==>'(X_16, 1), 0))))),
% 147.35/147.53 [1, 1], $fot('==>'(0, '==>'(X_16, 1)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_393, plain,
% 147.35/147.53 (1 != add(X_16, add('==>'(X_16, 1), '==>'('==>'(X_16, 1), 0))) |
% 147.35/147.53 1 = add(X_16, '==>'(0, '==>'(X_16, 1)))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add('==>'(X_16, 1), '==>'('==>'(X_16, 1), 0)),
% 147.35/147.53 '==>'(0, '==>'(X_16, 1))))],
% 147.35/147.53 [refute_0_391, refute_0_392])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_394, plain, (1 = add(X_16, '==>'(0, '==>'(X_16, 1)))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(1,
% 147.35/147.53 add(X_16,
% 147.35/147.53 add('==>'(X_16, 1), '==>'('==>'(X_16, 1), 0)))))],
% 147.35/147.53 [refute_0_390, refute_0_393])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_395, plain,
% 147.35/147.53 (1 = add(add(A, B), '==>'(0, '==>'(add(A, B), 1)))),
% 147.35/147.53 inference(subst, [], [refute_0_394 : [bind(X_16, $fot(add(A, B)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_396, plain,
% 147.35/147.53 (1 != add(add(A, B), '==>'(0, '==>'(add(A, B), 1))) |
% 147.35/147.53 add(add(A, B), '==>'(0, '==>'(add(A, B), 1))) = 1),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_24 :
% 147.35/147.53 [bind(X, $fot(1)),
% 147.35/147.53 bind(Y,
% 147.35/147.53 $fot(add(add(A, B),
% 147.35/147.53 '==>'(0, '==>'(add(A, B), 1)))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_397, plain,
% 147.35/147.53 (add(add(A, B), '==>'(0, '==>'(add(A, B), 1))) = 1),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(1,
% 147.35/147.53 add(add(A, B), '==>'(0, '==>'(add(A, B), 1)))))],
% 147.35/147.53 [refute_0_395, refute_0_396])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_398, plain,
% 147.35/147.53 (add(add(A, B), '==>'(0, '==>'(add(A, B), 1))) !=
% 147.35/147.53 add(A, add(B, '==>'(0, '==>'(add(A, B), 1)))) |
% 147.35/147.53 add(add(A, B), '==>'(0, '==>'(add(A, B), 1))) != 1 |
% 147.35/147.53 1 = add(A, add(B, '==>'(0, '==>'(add(A, B), 1))))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal(add(add(A, B), '==>'(0, '==>'(add(A, B), 1))),
% 147.35/147.53 add(A, add(B, '==>'(0, '==>'(add(A, B), 1)))))),
% 147.35/147.53 [0], $fot(1)]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_399, plain,
% 147.35/147.53 (add(add(A, B), '==>'(0, '==>'(add(A, B), 1))) !=
% 147.35/147.53 add(A, add(B, '==>'(0, '==>'(add(A, B), 1)))) |
% 147.35/147.53 1 = add(A, add(B, '==>'(0, '==>'(add(A, B), 1))))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(add(A, B), '==>'(0, '==>'(add(A, B), 1))),
% 147.35/147.53 1))], [refute_0_397, refute_0_398])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_400, plain,
% 147.35/147.53 (1 = add(A, add(B, '==>'(0, '==>'(add(A, B), 1))))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(add(A, B), '==>'(0, '==>'(add(A, B), 1))),
% 147.35/147.53 add(A, add(B, '==>'(0, '==>'(add(A, B), 1))))))],
% 147.35/147.53 [refute_0_389, refute_0_399])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_401, plain,
% 147.35/147.53 (1 = add(X_44, add(X_45, '==>'(0, '==>'(add(X_44, X_45), 1))))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_400 :
% 147.35/147.53 [bind(A, $fot(X_44)), bind(B, $fot(X_45))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_402, plain, (add(X_45, X_44) = add(X_44, X_45)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_11 : [bind(A, $fot(X_45)), bind(B, $fot(X_44))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_403, plain,
% 147.35/147.53 (add(X_45, X_44) != add(X_44, X_45) |
% 147.35/147.53 add(X_44, X_45) = add(X_45, X_44)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_24 :
% 147.35/147.53 [bind(X, $fot(add(X_45, X_44))),
% 147.35/147.53 bind(Y, $fot(add(X_44, X_45)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_404, plain, (add(X_44, X_45) = add(X_45, X_44)),
% 147.35/147.53 inference(resolve, [$cnf($equal(add(X_45, X_44), add(X_44, X_45)))],
% 147.35/147.53 [refute_0_402, refute_0_403])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_405, plain,
% 147.35/147.53 (add(X_44, X_45) != add(X_45, X_44) |
% 147.35/147.53 1 != add(X_44, add(X_45, '==>'(0, '==>'(add(X_44, X_45), 1)))) |
% 147.35/147.53 1 = add(X_44, add(X_45, '==>'(0, '==>'(add(X_45, X_44), 1))))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal(1,
% 147.35/147.53 add(X_44,
% 147.35/147.53 add(X_45,
% 147.35/147.53 '==>'(0, '==>'(add(X_44, X_45), 1)))))),
% 147.35/147.53 [1, 1, 1, 1, 0], $fot(add(X_45, X_44))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_406, plain,
% 147.35/147.53 (1 != add(X_44, add(X_45, '==>'(0, '==>'(add(X_44, X_45), 1)))) |
% 147.35/147.53 1 = add(X_44, add(X_45, '==>'(0, '==>'(add(X_45, X_44), 1))))),
% 147.35/147.53 inference(resolve, [$cnf($equal(add(X_44, X_45), add(X_45, X_44)))],
% 147.35/147.53 [refute_0_404, refute_0_405])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_407, plain,
% 147.35/147.53 (1 = add(X_44, add(X_45, '==>'(0, '==>'(add(X_45, X_44), 1))))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(1,
% 147.35/147.53 add(X_44,
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_44, X_45), 1))))))],
% 147.35/147.53 [refute_0_401, refute_0_406])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_408, plain,
% 147.35/147.53 (1 = add(X_379, add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))))),
% 147.35/147.53 inference(subst, [], [refute_0_407 : [bind(X_44, $fot(X_379))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_409, plain,
% 147.35/147.53 (1 != add(X_379, add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))) |
% 147.35/147.53 add(X_379, add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))) = 1),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_24 :
% 147.35/147.53 [bind(X, $fot(1)),
% 147.35/147.53 bind(Y,
% 147.35/147.53 $fot(add(X_379,
% 147.35/147.53 add(X_45,
% 147.35/147.53 '==>'(0, '==>'(add(X_45, X_379), 1))))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_410, plain,
% 147.35/147.53 (add(X_379, add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))) = 1),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(1,
% 147.35/147.53 add(X_379,
% 147.35/147.53 add(X_45,
% 147.35/147.53 '==>'(0, '==>'(add(X_45, X_379), 1))))))],
% 147.35/147.53 [refute_0_408, refute_0_409])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_411, plain,
% 147.35/147.53 (add(X_379, add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))) != 1 |
% 147.35/147.53 ~ greater_equal(1, X_381) |
% 147.35/147.53 greater_equal(add(X_379,
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))), X_381)),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(~ greater_equal(add(X_379,
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))),
% 147.35/147.53 X_381)), [0], $fot(1)]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_412, plain,
% 147.35/147.53 (~ greater_equal(1, X_381) |
% 147.35/147.53 greater_equal(add(X_379,
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))), X_381)),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(X_379,
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))),
% 147.35/147.53 1))], [refute_0_410, refute_0_411])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_413, plain,
% 147.35/147.53 (~ greater_equal(1, X_381) |
% 147.35/147.53 greater_equal(add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 '==>'(X_379, X_381))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal(add(X_379,
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))),
% 147.35/147.53 X_381))], [refute_0_412, refute_0_388])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_414, plain,
% 147.35/147.53 (greater_equal(add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 '==>'(X_379, X_381))),
% 147.35/147.53 inference(resolve, [$cnf(greater_equal(1, X_381))],
% 147.35/147.53 [refute_0_371, refute_0_413])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_415, plain,
% 147.35/147.53 ('==>'(0, '==>'(add(X_45, X_379), 1)) = '==>'(add(X_45, X_379), 1)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_118 :
% 147.35/147.53 [bind(X_676, $fot('==>'(add(X_45, X_379), 1)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_416, plain,
% 147.35/147.53 (add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))) =
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [refl,
% 147.35/147.53 [$fot(add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_417, plain,
% 147.35/147.53 (add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))) !=
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))) |
% 147.35/147.53 '==>'(0, '==>'(add(X_45, X_379), 1)) != '==>'(add(X_45, X_379), 1) |
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))) =
% 147.35/147.53 add(X_45, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal(add(X_45,
% 147.35/147.53 '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))))),
% 147.35/147.53 [1, 1], $fot('==>'(add(X_45, X_379), 1))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_418, plain,
% 147.35/147.53 ('==>'(0, '==>'(add(X_45, X_379), 1)) != '==>'(add(X_45, X_379), 1) |
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))) =
% 147.35/147.53 add(X_45, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1)))))],
% 147.35/147.53 [refute_0_416, refute_0_417])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_419, plain,
% 147.35/147.53 (add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))) =
% 147.35/147.53 add(X_45, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'(0, '==>'(add(X_45, X_379), 1)),
% 147.35/147.53 '==>'(add(X_45, X_379), 1)))],
% 147.35/147.53 [refute_0_415, refute_0_418])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_420, plain,
% 147.35/147.53 (add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))) !=
% 147.35/147.53 add(X_45, '==>'(add(X_45, X_379), 1)) |
% 147.35/147.53 ~
% 147.35/147.53 greater_equal(add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 '==>'(X_379, X_381)) |
% 147.35/147.53 greater_equal(add(X_45, '==>'(add(X_45, X_379), 1)),
% 147.35/147.53 '==>'(X_379, X_381))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(greater_equal(add(X_45,
% 147.35/147.53 '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 '==>'(X_379, X_381))), [0],
% 147.35/147.53 $fot(add(X_45, '==>'(add(X_45, X_379), 1)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_421, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal(add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 '==>'(X_379, X_381)) |
% 147.35/147.53 greater_equal(add(X_45, '==>'(add(X_45, X_379), 1)),
% 147.35/147.53 '==>'(X_379, X_381))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(X_45, '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 add(X_45, '==>'(add(X_45, X_379), 1))))],
% 147.35/147.53 [refute_0_419, refute_0_420])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_422, plain,
% 147.35/147.53 (greater_equal(add(X_45, '==>'(add(X_45, X_379), 1)),
% 147.35/147.53 '==>'(X_379, X_381))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal(add(X_45,
% 147.35/147.53 '==>'(0, '==>'(add(X_45, X_379), 1))),
% 147.35/147.53 '==>'(X_379, X_381)))],
% 147.35/147.53 [refute_0_414, refute_0_421])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_423, plain,
% 147.35/147.53 (greater_equal(add(X_1926, '==>'(add(X_1926, '==>'(A, 1)), 1)),
% 147.35/147.53 '==>'('==>'(A, 1), 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_422 :
% 147.35/147.53 [bind(X_379, $fot('==>'(A, 1))), bind(X_381, $fot(1)),
% 147.35/147.53 bind(X_45, $fot(X_1926))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_424, plain,
% 147.35/147.53 ('==>'('==>'(A, 1), 1) != A |
% 147.35/147.53 ~
% 147.35/147.53 greater_equal(add(X_1926, '==>'(add(X_1926, '==>'(A, 1)), 1)),
% 147.35/147.53 '==>'('==>'(A, 1), 1)) |
% 147.35/147.53 greater_equal(add(X_1926, '==>'(add(X_1926, '==>'(A, 1)), 1)), A)),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(greater_equal(add(X_1926,
% 147.35/147.53 '==>'(add(X_1926, '==>'(A, 1)), 1)),
% 147.35/147.53 '==>'('==>'(A, 1), 1))), [1], $fot(A)]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_425, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal(add(X_1926, '==>'(add(X_1926, '==>'(A, 1)), 1)),
% 147.35/147.53 '==>'('==>'(A, 1), 1)) |
% 147.35/147.53 greater_equal(add(X_1926, '==>'(add(X_1926, '==>'(A, 1)), 1)), A)),
% 147.35/147.53 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), 1), A))],
% 147.35/147.53 [refute_0_175, refute_0_424])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_426, plain,
% 147.35/147.53 (greater_equal(add(X_1926, '==>'(add(X_1926, '==>'(A, 1)), 1)), A)),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal(add(X_1926,
% 147.35/147.53 '==>'(add(X_1926, '==>'(A, 1)), 1)),
% 147.35/147.53 '==>'('==>'(A, 1), 1)))],
% 147.35/147.53 [refute_0_423, refute_0_425])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_427, plain,
% 147.35/147.53 (greater_equal(add(X_1928, '==>'(add(X_1928, '==>'(X_1927, 1)), 1)),
% 147.35/147.53 X_1927)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_426 :
% 147.35/147.53 [bind(A, $fot(X_1927)), bind(X_1926, $fot(X_1928))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_428, plain,
% 147.35/147.53 (greater_equal('==>'(add(X_1928, '==>'(X_1927, 1)), 1),
% 147.35/147.53 '==>'(X_1928, X_1927))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal(add(X_1928,
% 147.35/147.53 '==>'(add(X_1928, '==>'(X_1927, 1)), 1)),
% 147.35/147.53 X_1927))], [refute_0_427, refute_0_387])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_429, plain,
% 147.35/147.53 (greater_equal('==>'(add(X_1930, '==>'(X_1929, 1)), 1),
% 147.35/147.53 '==>'(X_1930, X_1929))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_428 :
% 147.35/147.53 [bind(X_1927, $fot(X_1929)), bind(X_1928, $fot(X_1930))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_430, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal('==>'(X_1930, X_1929),
% 147.35/147.53 '==>'(add(X_1930, '==>'(X_1929, 1)), 1)) |
% 147.35/147.53 '==>'(X_1930, X_1929) = '==>'(add(X_1930, '==>'(X_1929, 1)), 1)),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal('==>'(add(X_1930, '==>'(X_1929, 1)), 1),
% 147.35/147.53 '==>'(X_1930, X_1929)))],
% 147.35/147.53 [refute_0_429, refute_0_386])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_431, plain,
% 147.35/147.53 (greater_equal(X_387, '==>'(add(A, B), add(add(A, B), X_387)))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_71 :
% 147.35/147.53 [bind(X_379, $fot(add(A, B))), bind(X_380, $fot(X_387))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_432, plain, (add(add(A, B), X_387) = add(A, add(B, X_387))),
% 147.35/147.53 inference(subst, [], [refute_0_43 : [bind(C, $fot(X_387))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_433, plain,
% 147.35/147.53 (add(add(A, B), X_387) != add(A, add(B, X_387)) |
% 147.35/147.53 ~ greater_equal(X_387, '==>'(add(A, B), add(add(A, B), X_387))) |
% 147.35/147.53 greater_equal(X_387, '==>'(add(A, B), add(A, add(B, X_387))))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(greater_equal(X_387,
% 147.35/147.53 '==>'(add(A, B), add(add(A, B), X_387)))), [1, 1],
% 147.35/147.53 $fot(add(A, add(B, X_387)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_434, plain,
% 147.35/147.53 (~ greater_equal(X_387, '==>'(add(A, B), add(add(A, B), X_387))) |
% 147.35/147.53 greater_equal(X_387, '==>'(add(A, B), add(A, add(B, X_387))))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(add(A, B), X_387), add(A, add(B, X_387))))],
% 147.35/147.53 [refute_0_432, refute_0_433])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_435, plain,
% 147.35/147.53 (greater_equal(X_387, '==>'(add(A, B), add(A, add(B, X_387))))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal(X_387,
% 147.35/147.53 '==>'(add(A, B), add(add(A, B), X_387))))],
% 147.35/147.53 [refute_0_431, refute_0_434])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_436, plain,
% 147.35/147.53 (greater_equal('==>'(X_1518, '==>'(X_1519, 1)),
% 147.35/147.53 '==>'(add(X_1518, X_1519),
% 147.35/147.53 add(X_1518, add(X_1519, '==>'(X_1518, '==>'(X_1519, 1))))))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_435 :
% 147.35/147.53 [bind(A, $fot(X_1518)), bind(B, $fot(X_1519)),
% 147.35/147.53 bind(X_387, $fot('==>'(X_1518, '==>'(X_1519, 1))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_437, plain,
% 147.35/147.53 (add(X_1518, add(X_1519, '==>'(X_1518, '==>'(X_1519, 1)))) = 1),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_361 :
% 147.35/147.53 [bind(A, $fot(X_1519)), bind(X_57, $fot(X_1518))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_438, plain,
% 147.35/147.53 (add(X_1518, add(X_1519, '==>'(X_1518, '==>'(X_1519, 1)))) != 1 |
% 147.35/147.53 ~
% 147.35/147.53 greater_equal('==>'(X_1518, '==>'(X_1519, 1)),
% 147.35/147.53 '==>'(add(X_1518, X_1519),
% 147.35/147.53 add(X_1518, add(X_1519, '==>'(X_1518, '==>'(X_1519, 1)))))) |
% 147.35/147.53 greater_equal('==>'(X_1518, '==>'(X_1519, 1)),
% 147.35/147.53 '==>'(add(X_1518, X_1519), 1))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(greater_equal('==>'(X_1518, '==>'(X_1519, 1)),
% 147.35/147.53 '==>'(add(X_1518, X_1519),
% 147.35/147.53 add(X_1518,
% 147.35/147.53 add(X_1519,
% 147.35/147.53 '==>'(X_1518, '==>'(X_1519, 1))))))), [1, 1],
% 147.35/147.53 $fot(1)]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_439, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal('==>'(X_1518, '==>'(X_1519, 1)),
% 147.35/147.53 '==>'(add(X_1518, X_1519),
% 147.35/147.53 add(X_1518, add(X_1519, '==>'(X_1518, '==>'(X_1519, 1)))))) |
% 147.35/147.53 greater_equal('==>'(X_1518, '==>'(X_1519, 1)),
% 147.35/147.53 '==>'(add(X_1518, X_1519), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal(add(X_1518,
% 147.35/147.53 add(X_1519, '==>'(X_1518, '==>'(X_1519, 1)))),
% 147.35/147.53 1))], [refute_0_437, refute_0_438])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_440, plain,
% 147.35/147.53 (greater_equal('==>'(X_1518, '==>'(X_1519, 1)),
% 147.35/147.53 '==>'(add(X_1518, X_1519), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal('==>'(X_1518, '==>'(X_1519, 1)),
% 147.35/147.53 '==>'(add(X_1518, X_1519),
% 147.35/147.53 add(X_1518,
% 147.35/147.53 add(X_1519,
% 147.35/147.53 '==>'(X_1518, '==>'(X_1519, 1)))))))],
% 147.35/147.53 [refute_0_436, refute_0_439])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_441, plain,
% 147.35/147.53 (greater_equal('==>'(X_1521, '==>'(X_1522, 1)),
% 147.35/147.53 '==>'(add(X_1521, X_1522), 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_440 :
% 147.35/147.53 [bind(X_1518, $fot(X_1521)), bind(X_1519, $fot(X_1522))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_442, plain,
% 147.35/147.53 ('==>'(X_1522, '==>'(X_1521, 1)) = '==>'(X_1521, '==>'(X_1522, 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_376 :
% 147.35/147.53 [bind(X_1489, $fot(X_1522)), bind(X_1490, $fot(X_1521))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_443, plain,
% 147.35/147.53 ('==>'(X_1522, '==>'(X_1521, 1)) != '==>'(X_1521, '==>'(X_1522, 1)) |
% 147.35/147.53 '==>'(X_1521, '==>'(X_1522, 1)) = '==>'(X_1522, '==>'(X_1521, 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_24 :
% 147.35/147.53 [bind(X, $fot('==>'(X_1522, '==>'(X_1521, 1)))),
% 147.35/147.53 bind(Y, $fot('==>'(X_1521, '==>'(X_1522, 1))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_444, plain,
% 147.35/147.53 ('==>'(X_1521, '==>'(X_1522, 1)) = '==>'(X_1522, '==>'(X_1521, 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'(X_1522, '==>'(X_1521, 1)),
% 147.35/147.53 '==>'(X_1521, '==>'(X_1522, 1))))],
% 147.35/147.53 [refute_0_442, refute_0_443])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_445, plain,
% 147.35/147.53 ('==>'(X_1521, '==>'(X_1522, 1)) != '==>'(X_1522, '==>'(X_1521, 1)) |
% 147.35/147.53 ~
% 147.35/147.53 greater_equal('==>'(X_1521, '==>'(X_1522, 1)),
% 147.35/147.53 '==>'(add(X_1521, X_1522), 1)) |
% 147.35/147.53 greater_equal('==>'(X_1522, '==>'(X_1521, 1)),
% 147.35/147.53 '==>'(add(X_1521, X_1522), 1))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(greater_equal('==>'(X_1521, '==>'(X_1522, 1)),
% 147.35/147.53 '==>'(add(X_1521, X_1522), 1))), [0],
% 147.35/147.53 $fot('==>'(X_1522, '==>'(X_1521, 1)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_446, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal('==>'(X_1521, '==>'(X_1522, 1)),
% 147.35/147.53 '==>'(add(X_1521, X_1522), 1)) |
% 147.35/147.53 greater_equal('==>'(X_1522, '==>'(X_1521, 1)),
% 147.35/147.53 '==>'(add(X_1521, X_1522), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'(X_1521, '==>'(X_1522, 1)),
% 147.35/147.53 '==>'(X_1522, '==>'(X_1521, 1))))],
% 147.35/147.53 [refute_0_444, refute_0_445])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_447, plain,
% 147.35/147.53 (greater_equal('==>'(X_1522, '==>'(X_1521, 1)),
% 147.35/147.53 '==>'(add(X_1521, X_1522), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal('==>'(X_1521, '==>'(X_1522, 1)),
% 147.35/147.53 '==>'(add(X_1521, X_1522), 1)))],
% 147.35/147.53 [refute_0_441, refute_0_446])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_448, plain,
% 147.35/147.53 (greater_equal('==>'('==>'(X_791, 1), '==>'(X_1554, 1)),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_447 :
% 147.35/147.53 [bind(X_1521, $fot(X_1554)),
% 147.35/147.53 bind(X_1522, $fot('==>'(X_791, 1)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_449, plain,
% 147.35/147.53 ('==>'('==>'('==>'(X_1554, 1), 1), X_791) =
% 147.35/147.53 '==>'('==>'(X_791, 1), '==>'(X_1554, 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_242 : [bind(X_792, $fot('==>'(X_1554, 1)))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_450, plain,
% 147.35/147.53 ('==>'('==>'('==>'(X_1554, 1), 1), X_791) !=
% 147.35/147.53 '==>'('==>'(X_791, 1), '==>'(X_1554, 1)) |
% 147.35/147.53 '==>'('==>'(X_791, 1), '==>'(X_1554, 1)) =
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_24 :
% 147.35/147.53 [bind(X, $fot('==>'('==>'('==>'(X_1554, 1), 1), X_791))),
% 147.35/147.53 bind(Y,
% 147.35/147.53 $fot('==>'('==>'(X_791, 1), '==>'(X_1554, 1))))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_451, plain,
% 147.35/147.53 ('==>'('==>'(X_791, 1), '==>'(X_1554, 1)) =
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791)),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'('==>'(X_791, 1), '==>'(X_1554, 1))))],
% 147.35/147.53 [refute_0_449, refute_0_450])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_452, plain,
% 147.35/147.53 ('==>'('==>'(X_791, 1), '==>'(X_1554, 1)) !=
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791) |
% 147.35/147.53 ~
% 147.35/147.53 greater_equal('==>'('==>'(X_791, 1), '==>'(X_1554, 1)),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1)) |
% 147.35/147.53 greater_equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(greater_equal('==>'('==>'(X_791, 1),
% 147.35/147.53 '==>'(X_1554, 1)),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1))), [0],
% 147.35/147.53 $fot('==>'('==>'('==>'(X_1554, 1), 1), X_791))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_453, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal('==>'('==>'(X_791, 1), '==>'(X_1554, 1)),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1)) |
% 147.35/147.53 greater_equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'('==>'(X_791, 1), '==>'(X_1554, 1)),
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791)))],
% 147.35/147.53 [refute_0_451, refute_0_452])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_454, plain,
% 147.35/147.53 (greater_equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal('==>'('==>'(X_791, 1), '==>'(X_1554, 1)),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1)))],
% 147.35/147.53 [refute_0_448, refute_0_453])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_455, plain, ('==>'('==>'(X_1554, 1), 1) = X_1554),
% 147.35/147.53 inference(subst, [], [refute_0_175 : [bind(A, $fot(X_1554))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_456, plain,
% 147.35/147.53 ('==>'('==>'('==>'(X_1554, 1), 1), X_791) =
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791)),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [refl, [$fot('==>'('==>'('==>'(X_1554, 1), 1), X_791))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_457, plain,
% 147.35/147.53 ('==>'('==>'(X_1554, 1), 1) != X_1554 |
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791) !=
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791) |
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791) = '==>'(X_1554, X_791)),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf($equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791))), [1, 0],
% 147.35/147.53 $fot(X_1554)]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_458, plain,
% 147.35/147.53 ('==>'('==>'(X_1554, 1), 1) != X_1554 |
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791) = '==>'(X_1554, X_791)),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'('==>'('==>'(X_1554, 1), 1), X_791)))],
% 147.35/147.53 [refute_0_456, refute_0_457])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_459, plain,
% 147.35/147.53 ('==>'('==>'('==>'(X_1554, 1), 1), X_791) = '==>'(X_1554, X_791)),
% 147.35/147.53 inference(resolve, [$cnf($equal('==>'('==>'(X_1554, 1), 1), X_1554))],
% 147.35/147.53 [refute_0_455, refute_0_458])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_460, plain,
% 147.35/147.53 ('==>'('==>'('==>'(X_1554, 1), 1), X_791) != '==>'(X_1554, X_791) |
% 147.35/147.53 ~
% 147.35/147.53 greater_equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1)) |
% 147.35/147.53 greater_equal('==>'(X_1554, X_791),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1))),
% 147.35/147.53 introduced(tautology,
% 147.35/147.53 [equality,
% 147.35/147.53 [$cnf(greater_equal('==>'('==>'('==>'(X_1554, 1), 1),
% 147.35/147.53 X_791), '==>'(add(X_1554, '==>'(X_791, 1)), 1))),
% 147.35/147.53 [0], $fot('==>'(X_1554, X_791))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_461, plain,
% 147.35/147.53 (~
% 147.35/147.53 greater_equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1)) |
% 147.35/147.53 greater_equal('==>'(X_1554, X_791),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf($equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'(X_1554, X_791)))],
% 147.35/147.53 [refute_0_459, refute_0_460])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_462, plain,
% 147.35/147.53 (greater_equal('==>'(X_1554, X_791),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1))),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal('==>'('==>'('==>'(X_1554, 1), 1), X_791),
% 147.35/147.53 '==>'(add(X_1554, '==>'(X_791, 1)), 1)))],
% 147.35/147.53 [refute_0_454, refute_0_461])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_463, plain,
% 147.35/147.53 (greater_equal('==>'(X_1930, X_1929),
% 147.35/147.53 '==>'(add(X_1930, '==>'(X_1929, 1)), 1))),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_462 :
% 147.35/147.53 [bind(X_1554, $fot(X_1930)), bind(X_791, $fot(X_1929))]])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_464, plain,
% 147.35/147.53 ('==>'(X_1930, X_1929) = '==>'(add(X_1930, '==>'(X_1929, 1)), 1)),
% 147.35/147.53 inference(resolve,
% 147.35/147.53 [$cnf(greater_equal('==>'(X_1930, X_1929),
% 147.35/147.53 '==>'(add(X_1930, '==>'(X_1929, 1)), 1)))],
% 147.35/147.53 [refute_0_463, refute_0_430])).
% 147.35/147.53
% 147.35/147.53 cnf(refute_0_465, plain,
% 147.35/147.53 ('==>'(add(A, B), X_1931) =
% 147.35/147.53 '==>'(add(add(A, B), '==>'(X_1931, 1)), 1)),
% 147.35/147.53 inference(subst, [],
% 147.35/147.53 [refute_0_464 :
% 147.35/147.54 [bind(X_1929, $fot(X_1931)),
% 147.35/147.54 bind(X_1930, $fot(add(A, B)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_466, plain,
% 147.35/147.54 (add(add(A, B), '==>'(X_1931, 1)) = add(A, add(B, '==>'(X_1931, 1)))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_43 : [bind(C, $fot('==>'(X_1931, 1)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_467, plain,
% 147.35/147.54 (add(add(A, B), '==>'(X_1931, 1)) != add(A, add(B, '==>'(X_1931, 1))) |
% 147.35/147.54 '==>'(add(A, B), X_1931) !=
% 147.35/147.54 '==>'(add(add(A, B), '==>'(X_1931, 1)), 1) |
% 147.35/147.54 '==>'(add(A, B), X_1931) =
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1)),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf($equal('==>'(add(A, B), X_1931),
% 147.35/147.54 '==>'(add(add(A, B), '==>'(X_1931, 1)), 1))),
% 147.35/147.54 [1, 0], $fot(add(A, add(B, '==>'(X_1931, 1))))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_468, plain,
% 147.35/147.54 ('==>'(add(A, B), X_1931) !=
% 147.35/147.54 '==>'(add(add(A, B), '==>'(X_1931, 1)), 1) |
% 147.35/147.54 '==>'(add(A, B), X_1931) =
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal(add(add(A, B), '==>'(X_1931, 1)),
% 147.35/147.54 add(A, add(B, '==>'(X_1931, 1)))))],
% 147.35/147.54 [refute_0_466, refute_0_467])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_469, plain,
% 147.35/147.54 ('==>'(add(A, B), X_1931) =
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(add(A, B), X_1931),
% 147.35/147.54 '==>'(add(add(A, B), '==>'(X_1931, 1)), 1)))],
% 147.35/147.54 [refute_0_465, refute_0_468])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_470, plain, (add(X_1931, 0) = X_1931),
% 147.35/147.54 inference(subst, [], [refute_0_10 : [bind(A, $fot(X_1931))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_471, plain,
% 147.35/147.54 (add(X_1931, '==>'(1, 1)) = add(X_1931, '==>'(1, 1))),
% 147.35/147.54 introduced(tautology, [refl, [$fot(add(X_1931, '==>'(1, 1)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_472, plain,
% 147.35/147.54 (add(X_1931, '==>'(1, 1)) != add(X_1931, '==>'(1, 1)) |
% 147.35/147.54 '==>'(1, 1) != 0 | add(X_1931, '==>'(1, 1)) = add(X_1931, 0)),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf($equal(add(X_1931, '==>'(1, 1)),
% 147.35/147.54 add(X_1931, '==>'(1, 1)))), [1, 1], $fot(0)]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_473, plain,
% 147.35/147.54 ('==>'(1, 1) != 0 | add(X_1931, '==>'(1, 1)) = add(X_1931, 0)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal(add(X_1931, '==>'(1, 1)),
% 147.35/147.54 add(X_1931, '==>'(1, 1))))],
% 147.35/147.54 [refute_0_471, refute_0_472])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_474, plain, (add(X_1931, '==>'(1, 1)) = add(X_1931, 0)),
% 147.35/147.54 inference(resolve, [$cnf($equal('==>'(1, 1), 0))],
% 147.35/147.54 [refute_0_255, refute_0_473])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_475, plain,
% 147.35/147.54 (add(X_1931, 0) != X_1931 |
% 147.35/147.54 add(X_1931, '==>'(1, 1)) != add(X_1931, 0) |
% 147.35/147.54 add(X_1931, '==>'(1, 1)) = X_1931),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_218 :
% 147.35/147.54 [bind(X, $fot(add(X_1931, '==>'(1, 1)))),
% 147.35/147.54 bind(Y, $fot(add(X_1931, 0))), bind(Z, $fot(X_1931))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_476, plain,
% 147.35/147.54 (add(X_1931, 0) != X_1931 | add(X_1931, '==>'(1, 1)) = X_1931),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal(add(X_1931, '==>'(1, 1)), add(X_1931, 0)))],
% 147.35/147.54 [refute_0_474, refute_0_475])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_477, plain, (add(X_1931, '==>'(1, 1)) = X_1931),
% 147.35/147.54 inference(resolve, [$cnf($equal(add(X_1931, 0), X_1931))],
% 147.35/147.54 [refute_0_470, refute_0_476])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_478, plain,
% 147.35/147.54 ('==>'('==>'(add(X_1932, '==>'(X_1931, 1)), 1), 1) =
% 147.35/147.54 add(X_1932, '==>'(X_1931, 1))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_175 :
% 147.35/147.54 [bind(A, $fot(add(X_1932, '==>'(X_1931, 1))))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_479, plain,
% 147.35/147.54 ('==>'(X_1932, X_1931) = '==>'(add(X_1932, '==>'(X_1931, 1)), 1)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_464 :
% 147.35/147.54 [bind(X_1929, $fot(X_1931)), bind(X_1930, $fot(X_1932))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_480, plain,
% 147.35/147.54 ('==>'(X_1932, X_1931) != '==>'(add(X_1932, '==>'(X_1931, 1)), 1) |
% 147.35/147.54 '==>'(add(X_1932, '==>'(X_1931, 1)), 1) = '==>'(X_1932, X_1931)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_24 :
% 147.35/147.54 [bind(X, $fot('==>'(X_1932, X_1931))),
% 147.35/147.54 bind(Y, $fot('==>'(add(X_1932, '==>'(X_1931, 1)), 1)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_481, plain,
% 147.35/147.54 ('==>'(add(X_1932, '==>'(X_1931, 1)), 1) = '==>'(X_1932, X_1931)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(X_1932, X_1931),
% 147.35/147.54 '==>'(add(X_1932, '==>'(X_1931, 1)), 1)))],
% 147.35/147.54 [refute_0_479, refute_0_480])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_482, plain,
% 147.35/147.54 ('==>'(add(X_1932, '==>'(X_1931, 1)), 1) != '==>'(X_1932, X_1931) |
% 147.35/147.54 '==>'('==>'(add(X_1932, '==>'(X_1931, 1)), 1), 1) !=
% 147.35/147.54 add(X_1932, '==>'(X_1931, 1)) |
% 147.35/147.54 '==>'('==>'(X_1932, X_1931), 1) = add(X_1932, '==>'(X_1931, 1))),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf($equal('==>'('==>'(add(X_1932, '==>'(X_1931, 1)), 1),
% 147.35/147.54 1), add(X_1932, '==>'(X_1931, 1)))), [0, 0],
% 147.35/147.54 $fot('==>'(X_1932, X_1931))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_483, plain,
% 147.35/147.54 ('==>'('==>'(add(X_1932, '==>'(X_1931, 1)), 1), 1) !=
% 147.35/147.54 add(X_1932, '==>'(X_1931, 1)) |
% 147.35/147.54 '==>'('==>'(X_1932, X_1931), 1) = add(X_1932, '==>'(X_1931, 1))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(add(X_1932, '==>'(X_1931, 1)), 1),
% 147.35/147.54 '==>'(X_1932, X_1931)))],
% 147.35/147.54 [refute_0_481, refute_0_482])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_484, plain,
% 147.35/147.54 ('==>'('==>'(X_1932, X_1931), 1) = add(X_1932, '==>'(X_1931, 1))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'('==>'(add(X_1932, '==>'(X_1931, 1)), 1),
% 147.35/147.54 1), add(X_1932, '==>'(X_1931, 1))))],
% 147.35/147.54 [refute_0_478, refute_0_483])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_485, plain,
% 147.35/147.54 ('==>'('==>'(X_1931, 1), 1) = add(X_1931, '==>'(1, 1))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_484 :
% 147.35/147.54 [bind(X_1931, $fot(1)), bind(X_1932, $fot(X_1931))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_486, plain,
% 147.35/147.54 (add(X_1931, '==>'(1, 1)) != X_1931 |
% 147.35/147.54 '==>'('==>'(X_1931, 1), 1) != add(X_1931, '==>'(1, 1)) |
% 147.35/147.54 '==>'('==>'(X_1931, 1), 1) = X_1931),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_218 :
% 147.35/147.54 [bind(X, $fot('==>'('==>'(X_1931, 1), 1))),
% 147.35/147.54 bind(Y, $fot(add(X_1931, '==>'(1, 1)))),
% 147.35/147.54 bind(Z, $fot(X_1931))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_487, plain,
% 147.35/147.54 (add(X_1931, '==>'(1, 1)) != X_1931 |
% 147.35/147.54 '==>'('==>'(X_1931, 1), 1) = X_1931),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'('==>'(X_1931, 1), 1),
% 147.35/147.54 add(X_1931, '==>'(1, 1))))],
% 147.35/147.54 [refute_0_485, refute_0_486])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_488, plain, ('==>'('==>'(X_1931, 1), 1) = X_1931),
% 147.35/147.54 inference(resolve, [$cnf($equal(add(X_1931, '==>'(1, 1)), X_1931))],
% 147.35/147.54 [refute_0_477, refute_0_487])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_489, plain,
% 147.35/147.54 ('==>'(B, '==>'('==>'(X_1931, 1), 1)) =
% 147.35/147.54 '==>'(B, '==>'('==>'(X_1931, 1), 1))),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [refl, [$fot('==>'(B, '==>'('==>'(X_1931, 1), 1)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_490, plain,
% 147.35/147.54 ('==>'(B, '==>'('==>'(X_1931, 1), 1)) !=
% 147.35/147.54 '==>'(B, '==>'('==>'(X_1931, 1), 1)) |
% 147.35/147.54 '==>'('==>'(X_1931, 1), 1) != X_1931 |
% 147.35/147.54 '==>'(B, '==>'('==>'(X_1931, 1), 1)) = '==>'(B, X_1931)),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf($equal('==>'(B, '==>'('==>'(X_1931, 1), 1)),
% 147.35/147.54 '==>'(B, '==>'('==>'(X_1931, 1), 1)))), [1, 1],
% 147.35/147.54 $fot(X_1931)]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_491, plain,
% 147.35/147.54 ('==>'('==>'(X_1931, 1), 1) != X_1931 |
% 147.35/147.54 '==>'(B, '==>'('==>'(X_1931, 1), 1)) = '==>'(B, X_1931)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(B, '==>'('==>'(X_1931, 1), 1)),
% 147.35/147.54 '==>'(B, '==>'('==>'(X_1931, 1), 1))))],
% 147.35/147.54 [refute_0_489, refute_0_490])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_492, plain,
% 147.35/147.54 ('==>'(B, '==>'('==>'(X_1931, 1), 1)) = '==>'(B, X_1931)),
% 147.35/147.54 inference(resolve, [$cnf($equal('==>'('==>'(X_1931, 1), 1), X_1931))],
% 147.35/147.54 [refute_0_488, refute_0_491])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_493, plain,
% 147.35/147.54 ('==>'(X_1932, '==>'(A, 1)) =
% 147.35/147.54 '==>'(add(X_1932, '==>'('==>'(A, 1), 1)), 1)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_464 :
% 147.35/147.54 [bind(X_1929, $fot('==>'(A, 1))),
% 147.35/147.54 bind(X_1930, $fot(X_1932))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_494, plain,
% 147.35/147.54 ('==>'(X_1932, '==>'(A, 1)) !=
% 147.35/147.54 '==>'(add(X_1932, '==>'('==>'(A, 1), 1)), 1) |
% 147.35/147.54 '==>'('==>'(A, 1), 1) != A |
% 147.35/147.54 '==>'(X_1932, '==>'(A, 1)) = '==>'(add(X_1932, A), 1)),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf($equal('==>'(X_1932, '==>'(A, 1)),
% 147.35/147.54 '==>'(add(X_1932, '==>'('==>'(A, 1), 1)), 1))),
% 147.35/147.54 [1, 0, 1], $fot(A)]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_495, plain,
% 147.35/147.54 ('==>'(X_1932, '==>'(A, 1)) !=
% 147.35/147.54 '==>'(add(X_1932, '==>'('==>'(A, 1), 1)), 1) |
% 147.35/147.54 '==>'(X_1932, '==>'(A, 1)) = '==>'(add(X_1932, A), 1)),
% 147.35/147.54 inference(resolve, [$cnf($equal('==>'('==>'(A, 1), 1), A))],
% 147.35/147.54 [refute_0_175, refute_0_494])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_496, plain,
% 147.35/147.54 ('==>'(X_1932, '==>'(A, 1)) = '==>'(add(X_1932, A), 1)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(X_1932, '==>'(A, 1)),
% 147.35/147.54 '==>'(add(X_1932, '==>'('==>'(A, 1), 1)), 1)))],
% 147.35/147.54 [refute_0_493, refute_0_495])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_497, plain,
% 147.35/147.54 ('==>'(X_1932, '==>'(A, 1)) != '==>'(add(X_1932, A), 1) |
% 147.35/147.54 '==>'(add(X_1932, A), 1) = '==>'(X_1932, '==>'(A, 1))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_24 :
% 147.35/147.54 [bind(X, $fot('==>'(X_1932, '==>'(A, 1)))),
% 147.35/147.54 bind(Y, $fot('==>'(add(X_1932, A), 1)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_498, plain,
% 147.35/147.54 ('==>'(add(X_1932, A), 1) = '==>'(X_1932, '==>'(A, 1))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(X_1932, '==>'(A, 1)),
% 147.35/147.54 '==>'(add(X_1932, A), 1)))],
% 147.35/147.54 [refute_0_496, refute_0_497])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_499, plain,
% 147.35/147.54 ('==>'(add(B, '==>'(X_1931, 1)), 1) =
% 147.35/147.54 '==>'(B, '==>'('==>'(X_1931, 1), 1))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_498 :
% 147.35/147.54 [bind(A, $fot('==>'(X_1931, 1))), bind(X_1932, $fot(B))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_500, plain,
% 147.35/147.54 ('==>'(B, '==>'('==>'(X_1931, 1), 1)) != '==>'(B, X_1931) |
% 147.35/147.54 '==>'(add(B, '==>'(X_1931, 1)), 1) !=
% 147.35/147.54 '==>'(B, '==>'('==>'(X_1931, 1), 1)) |
% 147.35/147.54 '==>'(add(B, '==>'(X_1931, 1)), 1) = '==>'(B, X_1931)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_218 :
% 147.35/147.54 [bind(X, $fot('==>'(add(B, '==>'(X_1931, 1)), 1))),
% 147.35/147.54 bind(Y, $fot('==>'(B, '==>'('==>'(X_1931, 1), 1)))),
% 147.35/147.54 bind(Z, $fot('==>'(B, X_1931)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_501, plain,
% 147.35/147.54 ('==>'(B, '==>'('==>'(X_1931, 1), 1)) != '==>'(B, X_1931) |
% 147.35/147.54 '==>'(add(B, '==>'(X_1931, 1)), 1) = '==>'(B, X_1931)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(add(B, '==>'(X_1931, 1)), 1),
% 147.35/147.54 '==>'(B, '==>'('==>'(X_1931, 1), 1))))],
% 147.35/147.54 [refute_0_499, refute_0_500])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_502, plain,
% 147.35/147.54 ('==>'(add(B, '==>'(X_1931, 1)), 1) = '==>'(B, X_1931)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(B, '==>'('==>'(X_1931, 1), 1)),
% 147.35/147.54 '==>'(B, X_1931)))], [refute_0_492, refute_0_501])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_503, plain,
% 147.35/147.54 ('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)) =
% 147.35/147.54 '==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1))),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [refl,
% 147.35/147.54 [$fot('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_504, plain,
% 147.35/147.54 ('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)) !=
% 147.35/147.54 '==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)) |
% 147.35/147.54 '==>'(add(B, '==>'(X_1931, 1)), 1) != '==>'(B, X_1931) |
% 147.35/147.54 '==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)) =
% 147.35/147.54 '==>'(A, '==>'(B, X_1931))),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf($equal('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)),
% 147.35/147.54 '==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)))),
% 147.35/147.54 [1, 1], $fot('==>'(B, X_1931))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_505, plain,
% 147.35/147.54 ('==>'(add(B, '==>'(X_1931, 1)), 1) != '==>'(B, X_1931) |
% 147.35/147.54 '==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)) =
% 147.35/147.54 '==>'(A, '==>'(B, X_1931))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)),
% 147.35/147.54 '==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1))))],
% 147.35/147.54 [refute_0_503, refute_0_504])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_506, plain,
% 147.35/147.54 ('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)) =
% 147.35/147.54 '==>'(A, '==>'(B, X_1931))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(add(B, '==>'(X_1931, 1)), 1),
% 147.35/147.54 '==>'(B, X_1931)))], [refute_0_502, refute_0_505])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_507, plain,
% 147.35/147.54 ('==>'(add(A, add(B, '==>'(X_1931, 1))), 1) =
% 147.35/147.54 '==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_498 :
% 147.35/147.54 [bind(A, $fot(add(B, '==>'(X_1931, 1)))),
% 147.35/147.54 bind(X_1932, $fot(A))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_508, plain,
% 147.35/147.54 ('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)) !=
% 147.35/147.54 '==>'(A, '==>'(B, X_1931)) |
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1) !=
% 147.35/147.54 '==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)) |
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1) =
% 147.35/147.54 '==>'(A, '==>'(B, X_1931))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_218 :
% 147.35/147.54 [bind(X, $fot('==>'(add(A, add(B, '==>'(X_1931, 1))), 1))),
% 147.35/147.54 bind(Y,
% 147.35/147.54 $fot('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)))),
% 147.35/147.54 bind(Z, $fot('==>'(A, '==>'(B, X_1931))))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_509, plain,
% 147.35/147.54 ('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)) !=
% 147.35/147.54 '==>'(A, '==>'(B, X_1931)) |
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1) =
% 147.35/147.54 '==>'(A, '==>'(B, X_1931))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(add(A, add(B, '==>'(X_1931, 1))), 1),
% 147.35/147.54 '==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1))))],
% 147.35/147.54 [refute_0_507, refute_0_508])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_510, plain,
% 147.35/147.54 ('==>'(add(A, add(B, '==>'(X_1931, 1))), 1) =
% 147.35/147.54 '==>'(A, '==>'(B, X_1931))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(A, '==>'(add(B, '==>'(X_1931, 1)), 1)),
% 147.35/147.54 '==>'(A, '==>'(B, X_1931))))],
% 147.35/147.54 [refute_0_506, refute_0_509])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_511, plain,
% 147.35/147.54 ('==>'(add(A, B), X_1931) !=
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1) |
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1) !=
% 147.35/147.54 '==>'(A, '==>'(B, X_1931)) |
% 147.35/147.54 '==>'(add(A, B), X_1931) = '==>'(A, '==>'(B, X_1931))),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf(~ $equal('==>'(add(A, B), X_1931),
% 147.35/147.54 '==>'(A, '==>'(B, X_1931)))), [0],
% 147.35/147.54 $fot('==>'(add(A, add(B, '==>'(X_1931, 1))), 1))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_512, plain,
% 147.35/147.54 ('==>'(add(A, B), X_1931) !=
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1) |
% 147.35/147.54 '==>'(add(A, B), X_1931) = '==>'(A, '==>'(B, X_1931))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(add(A, add(B, '==>'(X_1931, 1))), 1),
% 147.35/147.54 '==>'(A, '==>'(B, X_1931))))],
% 147.35/147.54 [refute_0_510, refute_0_511])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_513, plain,
% 147.35/147.54 ('==>'(add(A, B), X_1931) = '==>'(A, '==>'(B, X_1931))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(add(A, B), X_1931),
% 147.35/147.54 '==>'(add(A, add(B, '==>'(X_1931, 1))), 1)))],
% 147.35/147.54 [refute_0_469, refute_0_512])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_514, plain,
% 147.35/147.54 ('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) =
% 147.35/147.54 '==>'('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'('==>'(X_1617, X_1616), X_1616), X_1617))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_513 :
% 147.35/147.54 [bind(A, $fot('==>'(X_1616, X_1617))),
% 147.35/147.54 bind(B, $fot('==>'('==>'(X_1617, X_1616), X_1616))),
% 147.35/147.54 bind(X_1931, $fot(X_1617))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_515, plain,
% 147.35/147.54 ('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) != 0 |
% 147.35/147.54 '==>'(add('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) !=
% 147.35/147.54 '==>'('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'('==>'(X_1617, X_1616), X_1616), X_1617)) |
% 147.35/147.54 '==>'('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'('==>'(X_1617, X_1616), X_1616), X_1617)) = 0),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf($equal('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617),
% 147.35/147.54 0)), [0],
% 147.35/147.54 $fot('==>'('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'('==>'(X_1617, X_1616), X_1616),
% 147.35/147.54 X_1617)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_516, plain,
% 147.35/147.54 ('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617) != 0 |
% 147.35/147.54 '==>'('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'('==>'(X_1617, X_1616), X_1616), X_1617)) = 0),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617),
% 147.35/147.54 '==>'('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'('==>'(X_1617, X_1616), X_1616),
% 147.35/147.54 X_1617))))], [refute_0_514, refute_0_515])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_517, plain,
% 147.35/147.54 ('==>'('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'('==>'(X_1617, X_1616), X_1616), X_1617)) = 0),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'(add('==>'(X_1616, X_1617),
% 147.35/147.54 '==>'('==>'(X_1617, X_1616), X_1616)), X_1617),
% 147.35/147.54 0))], [refute_0_385, refute_0_516])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_518, plain,
% 147.35/147.54 ('==>'('==>'(X_1616, X_2374),
% 147.35/147.54 '==>'('==>'('==>'(X_2374, X_1616), X_1616), X_2374)) = 0),
% 147.35/147.54 inference(subst, [], [refute_0_517 : [bind(X_1617, $fot(X_2374))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_519, plain,
% 147.35/147.54 ('==>'('==>'(X_1616, X_2374),
% 147.35/147.54 '==>'('==>'('==>'(X_2374, X_1616), X_1616), X_2374)) != 0 |
% 147.35/147.54 ~
% 147.35/147.54 greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374),
% 147.35/147.54 '==>'('==>'('==>'(X_2374, X_1616), X_1616), X_2374))),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374)) |
% 147.35/147.54 greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616), 0),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374))),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf(greater_equal(add('==>'('==>'(X_2374, X_1616),
% 147.35/147.54 X_1616),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374),
% 147.35/147.54 '==>'('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 X_2374))),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374))), [0, 1],
% 147.35/147.54 $fot(0)]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_520, plain,
% 147.35/147.54 (~
% 147.35/147.54 greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374),
% 147.35/147.54 '==>'('==>'('==>'(X_2374, X_1616), X_1616), X_2374))),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374)) |
% 147.35/147.54 greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616), 0),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'('==>'(X_1616, X_2374),
% 147.35/147.54 '==>'('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 X_2374)), 0))], [refute_0_518, refute_0_519])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_521, plain,
% 147.35/147.54 (greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616), 0),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf(greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374),
% 147.35/147.54 '==>'('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 X_2374))),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374)))],
% 147.35/147.54 [refute_0_63, refute_0_520])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_522, plain,
% 147.35/147.54 (add(0, '==>'('==>'(X_2374, X_1616), X_1616)) =
% 147.35/147.54 '==>'('==>'(X_2374, X_1616), X_1616)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_15 :
% 147.35/147.54 [bind(A, $fot('==>'('==>'(X_2374, X_1616), X_1616)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_523, plain, (add(X_72, X_71) = add(X_71, X_72)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_11 : [bind(A, $fot(X_72)), bind(B, $fot(X_71))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_524, plain,
% 147.35/147.54 (add(X_72, X_71) != add(X_71, X_72) |
% 147.35/147.54 add(X_71, X_72) = add(X_72, X_71)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_24 :
% 147.35/147.54 [bind(X, $fot(add(X_72, X_71))),
% 147.35/147.54 bind(Y, $fot(add(X_71, X_72)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_525, plain, (add(X_71, X_72) = add(X_72, X_71)),
% 147.35/147.54 inference(resolve, [$cnf($equal(add(X_72, X_71), add(X_71, X_72)))],
% 147.35/147.54 [refute_0_523, refute_0_524])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_526, plain,
% 147.35/147.54 (add('==>'('==>'(X_2374, X_1616), X_1616), 0) =
% 147.35/147.54 add(0, '==>'('==>'(X_2374, X_1616), X_1616))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_525 :
% 147.35/147.54 [bind(X_71, $fot('==>'('==>'(X_2374, X_1616), X_1616))),
% 147.35/147.54 bind(X_72, $fot(0))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_527, plain,
% 147.35/147.54 (add(0, '==>'('==>'(X_2374, X_1616), X_1616)) !=
% 147.35/147.54 '==>'('==>'(X_2374, X_1616), X_1616) |
% 147.35/147.54 add('==>'('==>'(X_2374, X_1616), X_1616), 0) !=
% 147.35/147.54 add(0, '==>'('==>'(X_2374, X_1616), X_1616)) |
% 147.35/147.54 add('==>'('==>'(X_2374, X_1616), X_1616), 0) =
% 147.35/147.54 '==>'('==>'(X_2374, X_1616), X_1616)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_218 :
% 147.35/147.54 [bind(X,
% 147.35/147.54 $fot(add('==>'('==>'(X_2374, X_1616), X_1616), 0))),
% 147.35/147.54 bind(Y,
% 147.35/147.54 $fot(add(0, '==>'('==>'(X_2374, X_1616), X_1616)))),
% 147.35/147.54 bind(Z, $fot('==>'('==>'(X_2374, X_1616), X_1616)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_528, plain,
% 147.35/147.54 (add(0, '==>'('==>'(X_2374, X_1616), X_1616)) !=
% 147.35/147.54 '==>'('==>'(X_2374, X_1616), X_1616) |
% 147.35/147.54 add('==>'('==>'(X_2374, X_1616), X_1616), 0) =
% 147.35/147.54 '==>'('==>'(X_2374, X_1616), X_1616)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal(add('==>'('==>'(X_2374, X_1616), X_1616), 0),
% 147.35/147.54 add(0, '==>'('==>'(X_2374, X_1616), X_1616))))],
% 147.35/147.54 [refute_0_526, refute_0_527])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_529, plain,
% 147.35/147.54 (add('==>'('==>'(X_2374, X_1616), X_1616), 0) =
% 147.35/147.54 '==>'('==>'(X_2374, X_1616), X_1616)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal(add(0, '==>'('==>'(X_2374, X_1616), X_1616)),
% 147.35/147.54 '==>'('==>'(X_2374, X_1616), X_1616)))],
% 147.35/147.54 [refute_0_522, refute_0_528])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_530, plain,
% 147.35/147.54 (add('==>'('==>'(X_2374, X_1616), X_1616), 0) !=
% 147.35/147.54 '==>'('==>'(X_2374, X_1616), X_1616) |
% 147.35/147.54 ~
% 147.35/147.54 greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616), 0),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374)) |
% 147.35/147.54 greater_equal('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374))),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf(greater_equal(add('==>'('==>'(X_2374, X_1616),
% 147.35/147.54 X_1616), 0),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374))), [0],
% 147.35/147.54 $fot('==>'('==>'(X_2374, X_1616), X_1616))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_531, plain,
% 147.35/147.54 (~
% 147.35/147.54 greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616), 0),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374)) |
% 147.35/147.54 greater_equal('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal(add('==>'('==>'(X_2374, X_1616), X_1616), 0),
% 147.35/147.54 '==>'('==>'(X_2374, X_1616), X_1616)))],
% 147.35/147.54 [refute_0_529, refute_0_530])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_532, plain,
% 147.35/147.54 (greater_equal('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 '==>'('==>'(X_1616, X_2374), X_2374))),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf(greater_equal(add('==>'('==>'(X_2374, X_1616), X_1616),
% 147.35/147.54 0), '==>'('==>'(X_1616, X_2374), X_2374)))],
% 147.35/147.54 [refute_0_521, refute_0_531])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_533, plain,
% 147.35/147.54 (greater_equal('==>'('==>'(X_2376, X_2375), X_2375),
% 147.35/147.54 '==>'('==>'(X_2375, X_2376), X_2376))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_532 :
% 147.35/147.54 [bind(X_1616, $fot(X_2375)), bind(X_2374, $fot(X_2376))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_534, plain,
% 147.35/147.54 (~
% 147.35/147.54 greater_equal('==>'('==>'(X_2375, X_2376), X_2376),
% 147.35/147.54 '==>'('==>'(X_2376, X_2375), X_2375)) |
% 147.35/147.54 '==>'('==>'(X_2375, X_2376), X_2376) =
% 147.35/147.54 '==>'('==>'(X_2376, X_2375), X_2375)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf(greater_equal('==>'('==>'(X_2376, X_2375), X_2375),
% 147.35/147.54 '==>'('==>'(X_2375, X_2376), X_2376)))],
% 147.35/147.54 [refute_0_533, refute_0_2])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_535, plain,
% 147.35/147.54 (greater_equal('==>'('==>'(X_2375, X_2376), X_2376),
% 147.35/147.54 '==>'('==>'(X_2376, X_2375), X_2375))),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_532 :
% 147.35/147.54 [bind(X_1616, $fot(X_2376)), bind(X_2374, $fot(X_2375))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_536, plain,
% 147.35/147.54 ('==>'('==>'(X_2375, X_2376), X_2376) =
% 147.35/147.54 '==>'('==>'(X_2376, X_2375), X_2375)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf(greater_equal('==>'('==>'(X_2375, X_2376), X_2376),
% 147.35/147.54 '==>'('==>'(X_2376, X_2375), X_2375)))],
% 147.35/147.54 [refute_0_535, refute_0_534])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_537, plain,
% 147.35/147.54 ('==>'('==>'(X_2375, X_2376), X_2376) !=
% 147.35/147.54 '==>'('==>'(X_2376, X_2375), X_2375) |
% 147.35/147.54 '==>'('==>'(X_2376, X_2375), X_2375) =
% 147.35/147.54 '==>'('==>'(X_2375, X_2376), X_2376)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_24 :
% 147.35/147.54 [bind(X, $fot('==>'('==>'(X_2375, X_2376), X_2376))),
% 147.35/147.54 bind(Y, $fot('==>'('==>'(X_2376, X_2375), X_2375)))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_538, plain,
% 147.35/147.54 ('==>'('==>'(X_2376, X_2375), X_2375) =
% 147.35/147.54 '==>'('==>'(X_2375, X_2376), X_2376)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'('==>'(X_2375, X_2376), X_2376),
% 147.35/147.54 '==>'('==>'(X_2376, X_2375), X_2375)))],
% 147.35/147.54 [refute_0_536, refute_0_537])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_539, plain,
% 147.35/147.54 ('==>'('==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17),
% 147.35/147.54 skolemFOFtoCNF_X17) =
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18)),
% 147.35/147.54 inference(subst, [],
% 147.35/147.54 [refute_0_538 :
% 147.35/147.54 [bind(X_2375, $fot(skolemFOFtoCNF_X17)),
% 147.35/147.54 bind(X_2376, $fot(skolemFOFtoCNF_X18))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_540, plain,
% 147.35/147.54 ('==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18) !=
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18) |
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17),
% 147.35/147.54 skolemFOFtoCNF_X17) !=
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18) |
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18) =
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17),
% 147.35/147.54 skolemFOFtoCNF_X17)),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [equality,
% 147.35/147.54 [$cnf(~ $equal('==>'('==>'(skolemFOFtoCNF_X17,
% 147.35/147.54 skolemFOFtoCNF_X18), skolemFOFtoCNF_X18),
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X18,
% 147.35/147.54 skolemFOFtoCNF_X17), skolemFOFtoCNF_X17))),
% 147.35/147.54 [1],
% 147.35/147.54 $fot('==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_541, plain,
% 147.35/147.54 ('==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18) !=
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18) |
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18) =
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17),
% 147.35/147.54 skolemFOFtoCNF_X17)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X18,
% 147.35/147.54 skolemFOFtoCNF_X17), skolemFOFtoCNF_X17),
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18)))],
% 147.35/147.54 [refute_0_539, refute_0_540])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_542, plain,
% 147.35/147.54 ('==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18) !=
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18)),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17,
% 147.35/147.54 skolemFOFtoCNF_X18), skolemFOFtoCNF_X18),
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17),
% 147.35/147.54 skolemFOFtoCNF_X17)))],
% 147.35/147.54 [refute_0_541, refute_0_0])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_543, plain,
% 147.35/147.54 ('==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18) =
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18)),
% 147.35/147.54 introduced(tautology,
% 147.35/147.54 [refl,
% 147.35/147.54 [$fot('==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18))]])).
% 147.35/147.54
% 147.35/147.54 cnf(refute_0_544, plain, ($false),
% 147.35/147.54 inference(resolve,
% 147.35/147.54 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17,
% 147.35/147.54 skolemFOFtoCNF_X18), skolemFOFtoCNF_X18),
% 147.35/147.54 '==>'('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18),
% 147.35/147.54 skolemFOFtoCNF_X18)))],
% 147.35/147.54 [refute_0_543, refute_0_542])).
% 147.35/147.54 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 147.35/147.54
%------------------------------------------------------------------------------