TSTP Solution File: LCL896+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL896+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:56:49 EDT 2022
% Result : Theorem 57.65s 57.81s
% Output : CNFRefutation 57.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL896+1 : TPTP v8.1.0. Released v5.5.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 03:23:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 57.65/57.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.65/57.81
% 57.65/57.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.65/57.82 fof(sos_01, axiom, (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C)))).
% 57.65/57.82
% 57.65/57.82 fof(sos_02, axiom, (! [A, B] : add(A, B) = add(B, A))).
% 57.65/57.82
% 57.65/57.82 fof(sos_03, axiom, (! [A] : add(A, 0) = A)).
% 57.65/57.82
% 57.65/57.82 fof(sos_04, axiom, (! [A] : greater_equal(A, A))).
% 57.65/57.82
% 57.65/57.82 fof(sos_06, axiom,
% 57.65/57.82 (! [X3, X4] :
% 57.65/57.82 ((greater_equal(X3, X4) & greater_equal(X4, X3)) => X3 = X4))).
% 57.65/57.82
% 57.65/57.82 fof(sos_07, axiom,
% 57.65/57.82 (! [X5, X6, X7] :
% 57.65/57.82 (greater_equal(add(X5, X6), X7) <=>
% 57.65/57.82 greater_equal(X6, '==>'(X5, X7))))).
% 57.65/57.82
% 57.65/57.82 fof(sos_08, axiom, (! [A] : greater_equal(A, 0))).
% 57.65/57.82
% 57.65/57.82 fof(sos_09, axiom,
% 57.65/57.82 (! [X8, X9, X10] :
% 57.65/57.82 (greater_equal(X8, X9) =>
% 57.65/57.82 greater_equal(add(X8, X10), add(X9, X10))))).
% 57.65/57.82
% 57.65/57.82 fof(sos_10, axiom,
% 57.65/57.82 (! [X11, X12, X13] :
% 57.65/57.82 (greater_equal(X11, X12) =>
% 57.65/57.82 greater_equal('==>'(X12, X13), '==>'(X11, X13))))).
% 57.65/57.82
% 57.65/57.82 fof(sos_11, axiom,
% 57.65/57.82 (! [X14, X15, X16] :
% 57.65/57.82 (greater_equal(X14, X15) =>
% 57.65/57.82 greater_equal('==>'(X16, X14), '==>'(X16, X15))))).
% 57.65/57.82
% 57.65/57.82 fof(sos_12, axiom,
% 57.65/57.82 (! [A, B, C] :
% 57.65/57.82 add(add(A, '==>'(A, B)), '==>'(add(A, '==>'(A, B)), C)) =
% 57.65/57.82 add(A, '==>'(A, add(B, '==>'(B, C)))))).
% 57.65/57.82
% 57.65/57.82 fof(goals_13, conjecture,
% 57.65/57.82 (! [X17, X18] :
% 57.65/57.82 add(X17, '==>'(X17, X18)) = add(X18, '==>'(X18, X17)))).
% 57.65/57.82
% 57.65/57.82 fof(subgoal_0, plain,
% 57.65/57.82 (! [X17, X18] : add(X17, '==>'(X17, X18)) = add(X18, '==>'(X18, X17))),
% 57.65/57.82 inference(strip, [], [goals_13])).
% 57.65/57.82
% 57.65/57.82 fof(negate_0_0, plain,
% 57.65/57.82 (~
% 57.65/57.82 ! [X17, X18] :
% 57.65/57.82 add(X17, '==>'(X17, X18)) = add(X18, '==>'(X18, X17))),
% 57.65/57.82 inference(negate, [], [subgoal_0])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_0, plain,
% 57.65/57.82 (? [X17, X18] :
% 57.65/57.82 add(X17, '==>'(X17, X18)) != add(X18, '==>'(X18, X17))),
% 57.65/57.82 inference(canonicalize, [], [negate_0_0])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_1, plain,
% 57.65/57.82 (add(skolemFOFtoCNF_X17,
% 57.65/57.82 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 57.65/57.82 add(skolemFOFtoCNF_X18,
% 57.65/57.82 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))),
% 57.65/57.82 inference(skolemize, [], [normalize_0_0])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_2, plain,
% 57.65/57.82 (! [X3, X4] :
% 57.65/57.82 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 57.65/57.82 inference(canonicalize, [], [sos_06])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_3, plain,
% 57.65/57.82 (! [X3, X4] :
% 57.65/57.82 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 57.65/57.82 inference(specialize, [], [normalize_0_2])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_4, plain,
% 57.65/57.82 (! [X5, X6, X7] :
% 57.65/57.82 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 57.65/57.82 ~ greater_equal(add(X5, X6), X7))),
% 57.65/57.82 inference(canonicalize, [], [sos_07])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_5, plain,
% 57.65/57.82 (! [X5, X6, X7] :
% 57.65/57.82 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 57.65/57.82 ~ greater_equal(add(X5, X6), X7))),
% 57.65/57.82 inference(specialize, [], [normalize_0_4])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_6, plain,
% 57.65/57.82 (! [X5, X6, X7] :
% 57.65/57.82 ((~ greater_equal(X6, '==>'(X5, X7)) |
% 57.65/57.82 greater_equal(add(X5, X6), X7)) &
% 57.65/57.82 (~ greater_equal(add(X5, X6), X7) |
% 57.65/57.82 greater_equal(X6, '==>'(X5, X7))))),
% 57.65/57.82 inference(clausify, [], [normalize_0_5])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_7, plain,
% 57.65/57.82 (! [X5, X6, X7] :
% 57.65/57.82 (~ greater_equal(X6, '==>'(X5, X7)) |
% 57.65/57.82 greater_equal(add(X5, X6), X7))),
% 57.65/57.82 inference(conjunct, [], [normalize_0_6])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_8, plain, (! [A] : greater_equal(A, 0)),
% 57.65/57.82 inference(canonicalize, [], [sos_08])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_9, plain, (! [A] : greater_equal(A, 0)),
% 57.65/57.82 inference(specialize, [], [normalize_0_8])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_10, plain,
% 57.65/57.82 (! [X8, X9] :
% 57.65/57.82 (~ greater_equal(X8, X9) |
% 57.65/57.82 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 57.65/57.82 inference(canonicalize, [], [sos_09])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_11, plain,
% 57.65/57.82 (! [X8, X9] :
% 57.65/57.82 (~ greater_equal(X8, X9) |
% 57.65/57.82 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 57.65/57.82 inference(specialize, [], [normalize_0_10])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_12, plain,
% 57.65/57.82 (! [X10, X8, X9] :
% 57.65/57.82 (~ greater_equal(X8, X9) |
% 57.65/57.82 greater_equal(add(X8, X10), add(X9, X10)))),
% 57.65/57.82 inference(clausify, [], [normalize_0_11])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_13, plain, (! [A] : add(A, 0) = A),
% 57.65/57.82 inference(canonicalize, [], [sos_03])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_14, plain, (! [A] : add(A, 0) = A),
% 57.65/57.82 inference(specialize, [], [normalize_0_13])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_15, plain, (! [A, B] : add(A, B) = add(B, A)),
% 57.65/57.82 inference(canonicalize, [], [sos_02])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_16, plain, (! [A, B] : add(A, B) = add(B, A)),
% 57.65/57.82 inference(specialize, [], [normalize_0_15])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_17, plain,
% 57.65/57.82 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 57.65/57.82 inference(canonicalize, [], [sos_01])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_18, plain,
% 57.65/57.82 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 57.65/57.82 inference(specialize, [], [normalize_0_17])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_19, plain,
% 57.65/57.82 (! [X11, X12] :
% 57.65/57.82 (~ greater_equal(X11, X12) |
% 57.65/57.82 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 57.65/57.82 inference(canonicalize, [], [sos_10])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_20, plain,
% 57.65/57.82 (! [X11, X12] :
% 57.65/57.82 (~ greater_equal(X11, X12) |
% 57.65/57.82 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 57.65/57.82 inference(specialize, [], [normalize_0_19])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_21, plain,
% 57.65/57.82 (! [X11, X12, X13] :
% 57.65/57.82 (~ greater_equal(X11, X12) |
% 57.65/57.82 greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 57.65/57.82 inference(clausify, [], [normalize_0_20])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_22, plain,
% 57.65/57.82 (! [X5, X6, X7] :
% 57.65/57.82 (~ greater_equal(add(X5, X6), X7) |
% 57.65/57.82 greater_equal(X6, '==>'(X5, X7)))),
% 57.65/57.82 inference(conjunct, [], [normalize_0_6])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_23, plain, (! [A] : greater_equal(A, A)),
% 57.65/57.82 inference(canonicalize, [], [sos_04])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_24, plain, (! [A] : greater_equal(A, A)),
% 57.65/57.82 inference(specialize, [], [normalize_0_23])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_25, plain,
% 57.65/57.82 (! [A, B, C] :
% 57.65/57.82 add(add(A, '==>'(A, B)), '==>'(add(A, '==>'(A, B)), C)) =
% 57.65/57.82 add(A, '==>'(A, add(B, '==>'(B, C))))),
% 57.65/57.82 inference(canonicalize, [], [sos_12])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_26, plain,
% 57.65/57.82 (! [A, B, C] :
% 57.65/57.82 add(add(A, '==>'(A, B)), '==>'(add(A, '==>'(A, B)), C)) =
% 57.65/57.82 add(A, '==>'(A, add(B, '==>'(B, C))))),
% 57.65/57.82 inference(specialize, [], [normalize_0_25])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_27, plain,
% 57.65/57.82 (! [X14, X15] :
% 57.65/57.82 (~ greater_equal(X14, X15) |
% 57.65/57.82 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 57.65/57.82 inference(canonicalize, [], [sos_11])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_28, plain,
% 57.65/57.82 (! [X14, X15] :
% 57.65/57.82 (~ greater_equal(X14, X15) |
% 57.65/57.82 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 57.65/57.82 inference(specialize, [], [normalize_0_27])).
% 57.65/57.82
% 57.65/57.82 fof(normalize_0_29, plain,
% 57.65/57.82 (! [X14, X15, X16] :
% 57.65/57.82 (~ greater_equal(X14, X15) |
% 57.65/57.82 greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 57.65/57.82 inference(clausify, [], [normalize_0_28])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_0, plain,
% 57.65/57.82 (add(skolemFOFtoCNF_X17,
% 57.65/57.82 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 57.65/57.82 add(skolemFOFtoCNF_X18,
% 57.65/57.82 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_1])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_1, plain,
% 57.65/57.82 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_3])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_2, plain,
% 57.65/57.82 (~
% 57.65/57.82 greater_equal(add(X_2434, '==>'(X_2434, X_2435)),
% 57.65/57.82 add(X_2435, '==>'(X_2435, X_2434))) |
% 57.65/57.82 ~
% 57.65/57.82 greater_equal(add(X_2435, '==>'(X_2435, X_2434)),
% 57.65/57.82 add(X_2434, '==>'(X_2434, X_2435))) |
% 57.65/57.82 add(X_2434, '==>'(X_2434, X_2435)) =
% 57.65/57.82 add(X_2435, '==>'(X_2435, X_2434))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_1 :
% 57.65/57.82 [bind(X3, $fot(add(X_2434, '==>'(X_2434, X_2435)))),
% 57.65/57.82 bind(X4, $fot(add(X_2435, '==>'(X_2435, X_2434))))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_3, plain,
% 57.65/57.82 (~ greater_equal(X6, '==>'(X5, X7)) | greater_equal(add(X5, X6), X7)),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_7])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_4, plain,
% 57.65/57.82 (~
% 57.65/57.82 greater_equal(0,
% 57.65/57.82 '==>'(add(X_1113, X_1114),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115))) |
% 57.65/57.82 greater_equal(add(add(X_1113, X_1114), 0),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_3 :
% 57.65/57.82 [bind(X5, $fot(add(X_1113, X_1114))), bind(X6, $fot(0)),
% 57.65/57.82 bind(X7,
% 57.65/57.82 $fot('==>'('==>'(add(X_1114, X_1113), X_1115),
% 57.65/57.82 X_1115)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_5, plain, (greater_equal(A, 0)),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_9])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_6, plain, (greater_equal(X_27, 0)),
% 57.65/57.82 inference(subst, [], [refute_0_5 : [bind(A, $fot(X_27))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_7, plain,
% 57.65/57.82 (~ greater_equal(X8, X9) | greater_equal(add(X8, X10), add(X9, X10))),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_12])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_8, plain,
% 57.65/57.82 (~ greater_equal(X_27, 0) |
% 57.65/57.82 greater_equal(add(X_27, X_26), add(0, X_26))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_7 :
% 57.65/57.82 [bind(X10, $fot(X_26)), bind(X8, $fot(X_27)),
% 57.65/57.82 bind(X9, $fot(0))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_9, plain, (greater_equal(add(X_27, X_26), add(0, X_26))),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal(X_27, 0))],
% 57.65/57.82 [refute_0_6, refute_0_8])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_10, plain, (add(A, 0) = A),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_14])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_11, plain, (add(A, B) = add(B, A)),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_16])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_12, plain, (add(A, 0) = add(0, A)),
% 57.65/57.82 inference(subst, [], [refute_0_11 : [bind(B, $fot(0))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_13, plain,
% 57.65/57.82 (add(A, 0) != A | add(A, 0) != add(0, A) | add(0, A) = A),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf($equal(add(A, 0), A)), [0], $fot(add(0, A))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_14, plain, (add(A, 0) != A | add(0, A) = A),
% 57.65/57.82 inference(resolve, [$cnf($equal(add(A, 0), add(0, A)))],
% 57.65/57.82 [refute_0_12, refute_0_13])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_15, plain, (add(0, A) = A),
% 57.65/57.82 inference(resolve, [$cnf($equal(add(A, 0), A))],
% 57.65/57.82 [refute_0_10, refute_0_14])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_16, plain, (add(0, X_26) = X_26),
% 57.65/57.82 inference(subst, [], [refute_0_15 : [bind(A, $fot(X_26))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_17, plain,
% 57.65/57.82 (add(0, X_26) != X_26 |
% 57.65/57.82 ~ greater_equal(add(X_27, X_26), add(0, X_26)) |
% 57.65/57.82 greater_equal(add(X_27, X_26), X_26)),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal(add(X_27, X_26), add(0, X_26))), [1],
% 57.65/57.82 $fot(X_26)]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_18, plain,
% 57.65/57.82 (~ greater_equal(add(X_27, X_26), add(0, X_26)) |
% 57.65/57.82 greater_equal(add(X_27, X_26), X_26)),
% 57.65/57.82 inference(resolve, [$cnf($equal(add(0, X_26), X_26))],
% 57.65/57.82 [refute_0_16, refute_0_17])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_19, plain, (greater_equal(add(X_27, X_26), X_26)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add(X_27, X_26), add(0, X_26)))],
% 57.65/57.82 [refute_0_9, refute_0_18])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_20, plain,
% 57.65/57.82 (greater_equal(add(X_30, add(X_8, X_7)), add(X_8, X_7))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_19 :
% 57.65/57.82 [bind(X_26, $fot(add(X_8, X_7))),
% 57.65/57.82 bind(X_27, $fot(X_30))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_21, plain, (add(add(A, B), C) = add(A, add(B, C))),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_18])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_22, plain,
% 57.65/57.82 (add(add(X_6, X_7), X_8) = add(X_6, add(X_7, X_8))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_21 :
% 57.65/57.82 [bind(A, $fot(X_6)), bind(B, $fot(X_7)),
% 57.65/57.82 bind(C, $fot(X_8))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_23, plain, (add(X_8, X_7) = add(X_7, X_8)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_11 : [bind(A, $fot(X_8)), bind(B, $fot(X_7))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_24, plain, (X = X), introduced(tautology, [refl, [$fot(X)]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_25, plain, (X != X | X != Y | Y = X),
% 57.65/57.82 introduced(tautology, [equality, [$cnf($equal(X, X)), [0], $fot(Y)]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_26, plain, (X != Y | Y = X),
% 57.65/57.82 inference(resolve, [$cnf($equal(X, X))], [refute_0_24, refute_0_25])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_27, plain,
% 57.65/57.82 (add(X_8, X_7) != add(X_7, X_8) | add(X_7, X_8) = add(X_8, X_7)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_26 :
% 57.65/57.82 [bind(X, $fot(add(X_8, X_7))),
% 57.65/57.82 bind(Y, $fot(add(X_7, X_8)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_28, plain, (add(X_7, X_8) = add(X_8, X_7)),
% 57.65/57.82 inference(resolve, [$cnf($equal(add(X_8, X_7), add(X_7, X_8)))],
% 57.65/57.82 [refute_0_23, refute_0_27])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_29, plain,
% 57.65/57.82 (add(X_7, X_8) != add(X_8, X_7) |
% 57.65/57.82 add(add(X_6, X_7), X_8) != add(X_6, add(X_7, X_8)) |
% 57.65/57.82 add(add(X_6, X_7), X_8) = add(X_6, add(X_8, X_7))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf($equal(add(add(X_6, X_7), X_8),
% 57.65/57.82 add(X_6, add(X_7, X_8)))), [1, 1],
% 57.65/57.82 $fot(add(X_8, X_7))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_30, plain,
% 57.65/57.82 (add(add(X_6, X_7), X_8) != add(X_6, add(X_7, X_8)) |
% 57.65/57.82 add(add(X_6, X_7), X_8) = add(X_6, add(X_8, X_7))),
% 57.65/57.82 inference(resolve, [$cnf($equal(add(X_7, X_8), add(X_8, X_7)))],
% 57.65/57.82 [refute_0_28, refute_0_29])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_31, plain,
% 57.65/57.82 (add(add(X_6, X_7), X_8) = add(X_6, add(X_8, X_7))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(add(X_6, X_7), X_8),
% 57.65/57.82 add(X_6, add(X_7, X_8))))],
% 57.65/57.82 [refute_0_22, refute_0_30])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_32, plain,
% 57.65/57.82 (add(add(X_6, X_7), X_8) != add(X_6, add(X_7, X_8)) |
% 57.65/57.82 add(add(X_6, X_7), X_8) != add(X_6, add(X_8, X_7)) |
% 57.65/57.82 add(X_6, add(X_7, X_8)) = add(X_6, add(X_8, X_7))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf($equal(add(add(X_6, X_7), X_8),
% 57.65/57.82 add(X_6, add(X_8, X_7)))), [0],
% 57.65/57.82 $fot(add(X_6, add(X_7, X_8)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_33, plain,
% 57.65/57.82 (add(add(X_6, X_7), X_8) != add(X_6, add(X_8, X_7)) |
% 57.65/57.82 add(X_6, add(X_7, X_8)) = add(X_6, add(X_8, X_7))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(add(X_6, X_7), X_8),
% 57.65/57.82 add(X_6, add(X_7, X_8))))],
% 57.65/57.82 [refute_0_22, refute_0_32])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_34, plain,
% 57.65/57.82 (add(X_6, add(X_7, X_8)) = add(X_6, add(X_8, X_7))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(add(X_6, X_7), X_8),
% 57.65/57.82 add(X_6, add(X_8, X_7))))],
% 57.65/57.82 [refute_0_31, refute_0_33])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_35, plain,
% 57.65/57.82 (add(X_30, add(X_7, X_8)) = add(X_30, add(X_8, X_7))),
% 57.65/57.82 inference(subst, [], [refute_0_34 : [bind(X_6, $fot(X_30))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_36, plain,
% 57.65/57.82 (add(X_30, add(X_7, X_8)) != add(X_30, add(X_8, X_7)) |
% 57.65/57.82 add(X_30, add(X_8, X_7)) = add(X_30, add(X_7, X_8))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_26 :
% 57.65/57.82 [bind(X, $fot(add(X_30, add(X_7, X_8)))),
% 57.65/57.82 bind(Y, $fot(add(X_30, add(X_8, X_7))))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_37, plain,
% 57.65/57.82 (add(X_30, add(X_8, X_7)) = add(X_30, add(X_7, X_8))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(X_30, add(X_7, X_8)),
% 57.65/57.82 add(X_30, add(X_8, X_7))))],
% 57.65/57.82 [refute_0_35, refute_0_36])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_38, plain,
% 57.65/57.82 (add(X_30, add(X_8, X_7)) != add(X_30, add(X_7, X_8)) |
% 57.65/57.82 ~ greater_equal(add(X_30, add(X_8, X_7)), add(X_8, X_7)) |
% 57.65/57.82 greater_equal(add(X_30, add(X_7, X_8)), add(X_8, X_7))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal(add(X_30, add(X_8, X_7)),
% 57.65/57.82 add(X_8, X_7))), [0],
% 57.65/57.82 $fot(add(X_30, add(X_7, X_8)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_39, plain,
% 57.65/57.82 (~ greater_equal(add(X_30, add(X_8, X_7)), add(X_8, X_7)) |
% 57.65/57.82 greater_equal(add(X_30, add(X_7, X_8)), add(X_8, X_7))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(X_30, add(X_8, X_7)),
% 57.65/57.82 add(X_30, add(X_7, X_8))))],
% 57.65/57.82 [refute_0_37, refute_0_38])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_40, plain,
% 57.65/57.82 (greater_equal(add(X_30, add(X_7, X_8)), add(X_8, X_7))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add(X_30, add(X_8, X_7)),
% 57.65/57.82 add(X_8, X_7)))], [refute_0_20, refute_0_39])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_41, plain,
% 57.65/57.82 (greater_equal(add(0, add(X_52, X_53)), add(X_53, X_52))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_40 :
% 57.65/57.82 [bind(X_30, $fot(0)), bind(X_7, $fot(X_52)),
% 57.65/57.82 bind(X_8, $fot(X_53))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_42, plain, (add(0, add(X_52, X_53)) = add(X_52, X_53)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_15 : [bind(A, $fot(add(X_52, X_53)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_43, plain,
% 57.65/57.82 (add(0, add(X_52, X_53)) != add(X_52, X_53) |
% 57.65/57.82 ~ greater_equal(add(0, add(X_52, X_53)), add(X_53, X_52)) |
% 57.65/57.82 greater_equal(add(X_52, X_53), add(X_53, X_52))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal(add(0, add(X_52, X_53)),
% 57.65/57.82 add(X_53, X_52))), [0], $fot(add(X_52, X_53))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_44, plain,
% 57.65/57.82 (~ greater_equal(add(0, add(X_52, X_53)), add(X_53, X_52)) |
% 57.65/57.82 greater_equal(add(X_52, X_53), add(X_53, X_52))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(0, add(X_52, X_53)), add(X_52, X_53)))],
% 57.65/57.82 [refute_0_42, refute_0_43])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_45, plain, (greater_equal(add(X_52, X_53), add(X_53, X_52))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add(0, add(X_52, X_53)),
% 57.65/57.82 add(X_53, X_52)))], [refute_0_41, refute_0_44])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_46, plain,
% 57.65/57.82 (~ greater_equal(X11, X12) |
% 57.65/57.82 greater_equal('==>'(X12, X13), '==>'(X11, X13))),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_21])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_47, plain,
% 57.65/57.82 (~ greater_equal(add(X_52, X_53), add(X_53, X_52)) |
% 57.65/57.82 greater_equal('==>'(add(X_53, X_52), X_282),
% 57.65/57.82 '==>'(add(X_52, X_53), X_282))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_46 :
% 57.65/57.82 [bind(X11, $fot(add(X_52, X_53))),
% 57.65/57.82 bind(X12, $fot(add(X_53, X_52))),
% 57.65/57.82 bind(X13, $fot(X_282))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_48, plain,
% 57.65/57.82 (greater_equal('==>'(add(X_53, X_52), X_282),
% 57.65/57.82 '==>'(add(X_52, X_53), X_282))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add(X_52, X_53), add(X_53, X_52)))],
% 57.65/57.82 [refute_0_45, refute_0_47])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_49, plain,
% 57.65/57.82 (greater_equal('==>'(add(X_1109, X_1108),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)),
% 57.65/57.82 '==>'(add(X_1108, X_1109),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_48 :
% 57.65/57.82 [bind(X_282,
% 57.65/57.82 $fot('==>'('==>'(add(X_1109, X_1108), X_954),
% 57.65/57.82 X_954))), bind(X_52, $fot(X_1108)),
% 57.65/57.82 bind(X_53, $fot(X_1109))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_50, plain, (greater_equal(X_361, 0)),
% 57.65/57.82 inference(subst, [], [refute_0_5 : [bind(A, $fot(X_361))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_51, plain,
% 57.65/57.82 (~ greater_equal(X_361, 0) | ~ greater_equal(0, X_361) | X_361 = 0),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_1 : [bind(X3, $fot(X_361)), bind(X4, $fot(0))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_52, plain, (~ greater_equal(0, X_361) | X_361 = 0),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal(X_361, 0))],
% 57.65/57.82 [refute_0_50, refute_0_51])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_53, plain,
% 57.65/57.82 (~ greater_equal(0, '==>'(X_955, '==>'('==>'(X_955, X_954), X_954))) |
% 57.65/57.82 '==>'(X_955, '==>'('==>'(X_955, X_954), X_954)) = 0),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_52 :
% 57.65/57.82 [bind(X_361,
% 57.65/57.82 $fot('==>'(X_955,
% 57.65/57.82 '==>'('==>'(X_955, X_954), X_954))))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_54, plain,
% 57.65/57.82 (~ greater_equal(add(X5, X6), X7) | greater_equal(X6, '==>'(X5, X7))),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_22])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_55, plain,
% 57.65/57.82 (~ greater_equal(add('==>'(X_301, X_302), '==>'(0, X_301)), X_302) |
% 57.65/57.82 greater_equal('==>'(0, X_301), '==>'('==>'(X_301, X_302), X_302))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_54 :
% 57.65/57.82 [bind(X5, $fot('==>'(X_301, X_302))),
% 57.65/57.82 bind(X6, $fot('==>'(0, X_301))), bind(X7, $fot(X_302))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_56, plain,
% 57.65/57.82 (~ greater_equal('==>'(X_291, X_292), '==>'('==>'(0, X_291), X_292)) |
% 57.65/57.82 greater_equal(add('==>'(0, X_291), '==>'(X_291, X_292)), X_292)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_3 :
% 57.65/57.82 [bind(X5, $fot('==>'(0, X_291))),
% 57.65/57.82 bind(X6, $fot('==>'(X_291, X_292))),
% 57.65/57.82 bind(X7, $fot(X_292))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_57, plain, (greater_equal(A, A)),
% 57.65/57.82 inference(canonicalize, [], [normalize_0_24])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_58, plain,
% 57.65/57.82 (greater_equal('==>'(X_87, X_89), '==>'(X_87, X_89))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_57 : [bind(A, $fot('==>'(X_87, X_89)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_59, plain,
% 57.65/57.82 (~ greater_equal('==>'(X_87, X_89), '==>'(X_87, X_89)) |
% 57.65/57.82 greater_equal(add(X_87, '==>'(X_87, X_89)), X_89)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_3 :
% 57.65/57.82 [bind(X5, $fot(X_87)), bind(X6, $fot('==>'(X_87, X_89))),
% 57.65/57.82 bind(X7, $fot(X_89))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_60, plain,
% 57.65/57.82 (greater_equal(add(X_87, '==>'(X_87, X_89)), X_89)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal('==>'(X_87, X_89), '==>'(X_87, X_89)))],
% 57.65/57.82 [refute_0_58, refute_0_59])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_61, plain, (greater_equal(add(0, '==>'(0, X_91)), X_91)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_60 :
% 57.65/57.82 [bind(X_87, $fot(0)), bind(X_89, $fot(X_91))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_62, plain, (add(0, '==>'(0, X_91)) = '==>'(0, X_91)),
% 57.65/57.82 inference(subst, [], [refute_0_15 : [bind(A, $fot('==>'(0, X_91)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_63, plain,
% 57.65/57.82 (add(0, '==>'(0, X_91)) != '==>'(0, X_91) |
% 57.65/57.82 ~ greater_equal(add(0, '==>'(0, X_91)), X_91) |
% 57.65/57.82 greater_equal('==>'(0, X_91), X_91)),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal(add(0, '==>'(0, X_91)), X_91)), [0],
% 57.65/57.82 $fot('==>'(0, X_91))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_64, plain,
% 57.65/57.82 (~ greater_equal(add(0, '==>'(0, X_91)), X_91) |
% 57.65/57.82 greater_equal('==>'(0, X_91), X_91)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(0, '==>'(0, X_91)), '==>'(0, X_91)))],
% 57.65/57.82 [refute_0_62, refute_0_63])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_65, plain, (greater_equal('==>'(0, X_91), X_91)),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal(add(0, '==>'(0, X_91)), X_91))],
% 57.65/57.82 [refute_0_61, refute_0_64])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_66, plain, (greater_equal('==>'(0, X_281), X_281)),
% 57.65/57.82 inference(subst, [], [refute_0_65 : [bind(X_91, $fot(X_281))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_67, plain,
% 57.65/57.82 (~ greater_equal('==>'(0, X_281), X_281) |
% 57.65/57.82 greater_equal('==>'(X_281, X_282), '==>'('==>'(0, X_281), X_282))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_46 :
% 57.65/57.82 [bind(X11, $fot('==>'(0, X_281))), bind(X12, $fot(X_281)),
% 57.65/57.82 bind(X13, $fot(X_282))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_68, plain,
% 57.65/57.82 (greater_equal('==>'(X_281, X_282), '==>'('==>'(0, X_281), X_282))),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal('==>'(0, X_281), X_281))],
% 57.65/57.82 [refute_0_66, refute_0_67])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_69, plain,
% 57.65/57.82 (greater_equal('==>'(X_291, X_292), '==>'('==>'(0, X_291), X_292))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_68 :
% 57.65/57.82 [bind(X_281, $fot(X_291)), bind(X_282, $fot(X_292))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_70, plain,
% 57.65/57.82 (greater_equal(add('==>'(0, X_291), '==>'(X_291, X_292)), X_292)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal('==>'(X_291, X_292),
% 57.65/57.82 '==>'('==>'(0, X_291), X_292)))],
% 57.65/57.82 [refute_0_69, refute_0_56])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_71, plain,
% 57.65/57.82 (greater_equal(add('==>'(0, X_293), '==>'(X_293, X_294)), X_294)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_70 :
% 57.65/57.82 [bind(X_291, $fot(X_293)), bind(X_292, $fot(X_294))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_72, plain,
% 57.65/57.82 (add('==>'(X_293, X_294), '==>'(0, X_293)) =
% 57.65/57.82 add('==>'(0, X_293), '==>'(X_293, X_294))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_11 :
% 57.65/57.82 [bind(A, $fot('==>'(X_293, X_294))),
% 57.65/57.82 bind(B, $fot('==>'(0, X_293)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_73, plain,
% 57.65/57.82 (add('==>'(X_293, X_294), '==>'(0, X_293)) !=
% 57.65/57.82 add('==>'(0, X_293), '==>'(X_293, X_294)) |
% 57.65/57.82 add('==>'(0, X_293), '==>'(X_293, X_294)) =
% 57.65/57.82 add('==>'(X_293, X_294), '==>'(0, X_293))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_26 :
% 57.65/57.82 [bind(X, $fot(add('==>'(X_293, X_294), '==>'(0, X_293)))),
% 57.65/57.82 bind(Y,
% 57.65/57.82 $fot(add('==>'(0, X_293), '==>'(X_293, X_294))))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_74, plain,
% 57.65/57.82 (add('==>'(0, X_293), '==>'(X_293, X_294)) =
% 57.65/57.82 add('==>'(X_293, X_294), '==>'(0, X_293))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add('==>'(X_293, X_294), '==>'(0, X_293)),
% 57.65/57.82 add('==>'(0, X_293), '==>'(X_293, X_294))))],
% 57.65/57.82 [refute_0_72, refute_0_73])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_75, plain,
% 57.65/57.82 (add('==>'(0, X_293), '==>'(X_293, X_294)) !=
% 57.65/57.82 add('==>'(X_293, X_294), '==>'(0, X_293)) |
% 57.65/57.82 ~ greater_equal(add('==>'(0, X_293), '==>'(X_293, X_294)), X_294) |
% 57.65/57.82 greater_equal(add('==>'(X_293, X_294), '==>'(0, X_293)), X_294)),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal(add('==>'(0, X_293),
% 57.65/57.82 '==>'(X_293, X_294)), X_294)), [0],
% 57.65/57.82 $fot(add('==>'(X_293, X_294), '==>'(0, X_293)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_76, plain,
% 57.65/57.82 (~ greater_equal(add('==>'(0, X_293), '==>'(X_293, X_294)), X_294) |
% 57.65/57.82 greater_equal(add('==>'(X_293, X_294), '==>'(0, X_293)), X_294)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add('==>'(0, X_293), '==>'(X_293, X_294)),
% 57.65/57.82 add('==>'(X_293, X_294), '==>'(0, X_293))))],
% 57.65/57.82 [refute_0_74, refute_0_75])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_77, plain,
% 57.65/57.82 (greater_equal(add('==>'(X_293, X_294), '==>'(0, X_293)), X_294)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add('==>'(0, X_293),
% 57.65/57.82 '==>'(X_293, X_294)), X_294))],
% 57.65/57.82 [refute_0_71, refute_0_76])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_78, plain,
% 57.65/57.82 (greater_equal(add('==>'(X_301, X_302), '==>'(0, X_301)), X_302)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_77 :
% 57.65/57.82 [bind(X_293, $fot(X_301)), bind(X_294, $fot(X_302))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_79, plain,
% 57.65/57.82 (greater_equal('==>'(0, X_301), '==>'('==>'(X_301, X_302), X_302))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add('==>'(X_301, X_302),
% 57.65/57.82 '==>'(0, X_301)), X_302))],
% 57.65/57.82 [refute_0_78, refute_0_55])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_80, plain, (greater_equal('==>'(0, X_362), X_362)),
% 57.65/57.82 inference(subst, [], [refute_0_65 : [bind(X_91, $fot(X_362))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_81, plain,
% 57.65/57.82 (~ greater_equal(X_362, '==>'(0, X_362)) |
% 57.65/57.82 ~ greater_equal('==>'(0, X_362), X_362) | '==>'(0, X_362) = X_362),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_1 :
% 57.65/57.82 [bind(X3, $fot('==>'(0, X_362))), bind(X4, $fot(X_362))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_82, plain,
% 57.65/57.82 (~ greater_equal(X_362, '==>'(0, X_362)) | '==>'(0, X_362) = X_362),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal('==>'(0, X_362), X_362))],
% 57.65/57.82 [refute_0_80, refute_0_81])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_83, plain, (greater_equal(add(X_157, X_159), X_159)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_19 :
% 57.65/57.82 [bind(X_26, $fot(X_159)), bind(X_27, $fot(X_157))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_84, plain,
% 57.65/57.82 (~ greater_equal(add(X_157, X_159), X_159) |
% 57.65/57.82 greater_equal(X_159, '==>'(X_157, X_159))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_54 :
% 57.65/57.82 [bind(X5, $fot(X_157)), bind(X6, $fot(X_159)),
% 57.65/57.82 bind(X7, $fot(X_159))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_85, plain, (greater_equal(X_159, '==>'(X_157, X_159))),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal(add(X_157, X_159), X_159))],
% 57.65/57.82 [refute_0_83, refute_0_84])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_86, plain, (greater_equal(X_362, '==>'(0, X_362))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_85 :
% 57.65/57.82 [bind(X_157, $fot(0)), bind(X_159, $fot(X_362))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_87, plain, ('==>'(0, X_362) = X_362),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal(X_362, '==>'(0, X_362)))],
% 57.65/57.82 [refute_0_86, refute_0_82])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_88, plain, ('==>'(0, X_301) = X_301),
% 57.65/57.82 inference(subst, [], [refute_0_87 : [bind(X_362, $fot(X_301))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_89, plain,
% 57.65/57.82 ('==>'(0, X_301) != X_301 |
% 57.65/57.82 ~ greater_equal('==>'(0, X_301), '==>'('==>'(X_301, X_302), X_302)) |
% 57.65/57.82 greater_equal(X_301, '==>'('==>'(X_301, X_302), X_302))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal('==>'(0, X_301),
% 57.65/57.82 '==>'('==>'(X_301, X_302), X_302))), [0],
% 57.65/57.82 $fot(X_301)]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_90, plain,
% 57.65/57.82 (~ greater_equal('==>'(0, X_301), '==>'('==>'(X_301, X_302), X_302)) |
% 57.65/57.82 greater_equal(X_301, '==>'('==>'(X_301, X_302), X_302))),
% 57.65/57.82 inference(resolve, [$cnf($equal('==>'(0, X_301), X_301))],
% 57.65/57.82 [refute_0_88, refute_0_89])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_91, plain,
% 57.65/57.82 (greater_equal(X_301, '==>'('==>'(X_301, X_302), X_302))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal('==>'(0, X_301),
% 57.65/57.82 '==>'('==>'(X_301, X_302), X_302)))],
% 57.65/57.82 [refute_0_79, refute_0_90])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_92, plain,
% 57.65/57.82 (greater_equal(X_952, '==>'('==>'(X_952, X_302), X_302))),
% 57.65/57.82 inference(subst, [], [refute_0_91 : [bind(X_301, $fot(X_952))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_93, plain,
% 57.65/57.82 (~ greater_equal(add(X_157, 0), X_159) |
% 57.65/57.82 greater_equal(0, '==>'(X_157, X_159))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_54 :
% 57.65/57.82 [bind(X5, $fot(X_157)), bind(X6, $fot(0)),
% 57.65/57.82 bind(X7, $fot(X_159))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_94, plain, (add(X_157, 0) = X_157),
% 57.65/57.82 inference(subst, [], [refute_0_10 : [bind(A, $fot(X_157))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_95, plain,
% 57.65/57.82 (add(X_157, 0) != X_157 | ~ greater_equal(X_157, X_159) |
% 57.65/57.82 greater_equal(add(X_157, 0), X_159)),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(~ greater_equal(add(X_157, 0), X_159)), [0],
% 57.65/57.82 $fot(X_157)]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_96, plain,
% 57.65/57.82 (~ greater_equal(X_157, X_159) | greater_equal(add(X_157, 0), X_159)),
% 57.65/57.82 inference(resolve, [$cnf($equal(add(X_157, 0), X_157))],
% 57.65/57.82 [refute_0_94, refute_0_95])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_97, plain,
% 57.65/57.82 (~ greater_equal(X_157, X_159) |
% 57.65/57.82 greater_equal(0, '==>'(X_157, X_159))),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal(add(X_157, 0), X_159))],
% 57.65/57.82 [refute_0_96, refute_0_93])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_98, plain,
% 57.65/57.82 (~ greater_equal(X_952, '==>'('==>'(X_952, X_302), X_302)) |
% 57.65/57.82 greater_equal(0, '==>'(X_952, '==>'('==>'(X_952, X_302), X_302)))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_97 :
% 57.65/57.82 [bind(X_157, $fot(X_952)),
% 57.65/57.82 bind(X_159, $fot('==>'('==>'(X_952, X_302), X_302)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_99, plain,
% 57.65/57.82 (greater_equal(0, '==>'(X_952, '==>'('==>'(X_952, X_302), X_302)))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(X_952,
% 57.65/57.82 '==>'('==>'(X_952, X_302), X_302)))],
% 57.65/57.82 [refute_0_92, refute_0_98])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_100, plain,
% 57.65/57.82 (greater_equal(0, '==>'(X_955, '==>'('==>'(X_955, X_954), X_954)))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_99 :
% 57.65/57.82 [bind(X_302, $fot(X_954)), bind(X_952, $fot(X_955))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_101, plain,
% 57.65/57.82 ('==>'(X_955, '==>'('==>'(X_955, X_954), X_954)) = 0),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(0,
% 57.65/57.82 '==>'(X_955, '==>'('==>'(X_955, X_954), X_954))))],
% 57.65/57.82 [refute_0_100, refute_0_53])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_102, plain,
% 57.65/57.82 ('==>'(add(X_1109, X_1108),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)) = 0),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_101 : [bind(X_955, $fot(add(X_1109, X_1108)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_103, plain,
% 57.65/57.82 ('==>'(add(X_1109, X_1108),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)) != 0 |
% 57.65/57.82 ~
% 57.65/57.82 greater_equal('==>'(add(X_1109, X_1108),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)),
% 57.65/57.82 '==>'(add(X_1108, X_1109),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954))) |
% 57.65/57.82 greater_equal(0,
% 57.65/57.82 '==>'(add(X_1108, X_1109),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal('==>'(add(X_1109, X_1108),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)),
% 57.65/57.82 '==>'(add(X_1108, X_1109),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954),
% 57.65/57.82 X_954)))), [0], $fot(0)]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_104, plain,
% 57.65/57.82 (~
% 57.65/57.82 greater_equal('==>'(add(X_1109, X_1108),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)),
% 57.65/57.82 '==>'(add(X_1108, X_1109),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954))) |
% 57.65/57.82 greater_equal(0,
% 57.65/57.82 '==>'(add(X_1108, X_1109),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal('==>'(add(X_1109, X_1108),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)),
% 57.65/57.82 0))], [refute_0_102, refute_0_103])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_105, plain,
% 57.65/57.82 (greater_equal(0,
% 57.65/57.82 '==>'(add(X_1108, X_1109),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal('==>'(add(X_1109, X_1108),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954), X_954)),
% 57.65/57.82 '==>'(add(X_1108, X_1109),
% 57.65/57.82 '==>'('==>'(add(X_1109, X_1108), X_954),
% 57.65/57.82 X_954))))], [refute_0_49, refute_0_104])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_106, plain,
% 57.65/57.82 (greater_equal(0,
% 57.65/57.82 '==>'(add(X_1113, X_1114),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115)))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_105 :
% 57.65/57.82 [bind(X_1108, $fot(X_1113)), bind(X_1109, $fot(X_1114)),
% 57.65/57.82 bind(X_954, $fot(X_1115))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_107, plain,
% 57.65/57.82 (greater_equal(add(add(X_1113, X_1114), 0),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(0,
% 57.65/57.82 '==>'(add(X_1113, X_1114),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115),
% 57.65/57.82 X_1115))))], [refute_0_106, refute_0_4])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_108, plain,
% 57.65/57.82 (add(0, add(X_1113, X_1114)) = add(X_1113, X_1114)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_15 : [bind(A, $fot(add(X_1113, X_1114)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_109, plain,
% 57.65/57.82 (~ greater_equal('==>'(0, X_92), X_92) |
% 57.65/57.82 greater_equal(add('==>'(0, X_92), X10), add(X_92, X10))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_7 :
% 57.65/57.82 [bind(X8, $fot('==>'(0, X_92))), bind(X9, $fot(X_92))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_110, plain, (greater_equal('==>'(0, X_92), X_92)),
% 57.65/57.82 inference(subst, [], [refute_0_65 : [bind(X_91, $fot(X_92))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_111, plain,
% 57.65/57.82 (greater_equal(add('==>'(0, X_92), X10), add(X_92, X10))),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal('==>'(0, X_92), X_92))],
% 57.65/57.82 [refute_0_110, refute_0_109])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_112, plain,
% 57.65/57.82 (greater_equal(add('==>'(0, X_142), X_141), add(X_142, X_141))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_111 :
% 57.65/57.82 [bind(X10, $fot(X_141)), bind(X_92, $fot(X_142))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_113, plain,
% 57.65/57.82 (add(X_141, '==>'(0, X_142)) = add('==>'(0, X_142), X_141)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_11 :
% 57.65/57.82 [bind(A, $fot(X_141)), bind(B, $fot('==>'(0, X_142)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_114, plain,
% 57.65/57.82 (add(X_141, '==>'(0, X_142)) != add('==>'(0, X_142), X_141) |
% 57.65/57.82 add('==>'(0, X_142), X_141) = add(X_141, '==>'(0, X_142))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_26 :
% 57.65/57.82 [bind(X, $fot(add(X_141, '==>'(0, X_142)))),
% 57.65/57.82 bind(Y, $fot(add('==>'(0, X_142), X_141)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_115, plain,
% 57.65/57.82 (add('==>'(0, X_142), X_141) = add(X_141, '==>'(0, X_142))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(X_141, '==>'(0, X_142)),
% 57.65/57.82 add('==>'(0, X_142), X_141)))],
% 57.65/57.82 [refute_0_113, refute_0_114])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_116, plain,
% 57.65/57.82 (add('==>'(0, X_142), X_141) != add(X_141, '==>'(0, X_142)) |
% 57.65/57.82 ~ greater_equal(add('==>'(0, X_142), X_141), add(X_142, X_141)) |
% 57.65/57.82 greater_equal(add(X_141, '==>'(0, X_142)), add(X_142, X_141))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal(add('==>'(0, X_142), X_141),
% 57.65/57.82 add(X_142, X_141))), [0],
% 57.65/57.82 $fot(add(X_141, '==>'(0, X_142)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_117, plain,
% 57.65/57.82 (~ greater_equal(add('==>'(0, X_142), X_141), add(X_142, X_141)) |
% 57.65/57.82 greater_equal(add(X_141, '==>'(0, X_142)), add(X_142, X_141))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add('==>'(0, X_142), X_141),
% 57.65/57.82 add(X_141, '==>'(0, X_142))))],
% 57.65/57.82 [refute_0_115, refute_0_116])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_118, plain,
% 57.65/57.82 (greater_equal(add(X_141, '==>'(0, X_142)), add(X_142, X_141))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add('==>'(0, X_142), X_141),
% 57.65/57.82 add(X_142, X_141)))], [refute_0_112, refute_0_117])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_119, plain,
% 57.65/57.82 (~ greater_equal(add(X_141, '==>'(0, X_142)), add(X_142, X_141)) |
% 57.65/57.82 ~ greater_equal(add(X_142, X_141), add(X_141, '==>'(0, X_142))) |
% 57.65/57.82 add(X_141, '==>'(0, X_142)) = add(X_142, X_141)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_1 :
% 57.65/57.82 [bind(X3, $fot(add(X_141, '==>'(0, X_142)))),
% 57.65/57.82 bind(X4, $fot(add(X_142, X_141)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_120, plain,
% 57.65/57.82 (~ greater_equal(add(X_142, X_141), add(X_141, '==>'(0, X_142))) |
% 57.65/57.82 add(X_141, '==>'(0, X_142)) = add(X_142, X_141)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add(X_141, '==>'(0, X_142)),
% 57.65/57.82 add(X_142, X_141)))], [refute_0_118, refute_0_119])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_121, plain,
% 57.65/57.82 (~ greater_equal(X_161, '==>'(X_160, X_161)) |
% 57.65/57.82 greater_equal(add(X_161, X10), add('==>'(X_160, X_161), X10))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_7 :
% 57.65/57.82 [bind(X8, $fot(X_161)),
% 57.65/57.82 bind(X9, $fot('==>'(X_160, X_161)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_122, plain, (greater_equal(X_161, '==>'(X_160, X_161))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_85 :
% 57.65/57.82 [bind(X_157, $fot(X_160)), bind(X_159, $fot(X_161))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_123, plain,
% 57.65/57.82 (greater_equal(add(X_161, X10), add('==>'(X_160, X_161), X10))),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal(X_161, '==>'(X_160, X_161)))],
% 57.65/57.82 [refute_0_122, refute_0_121])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_124, plain,
% 57.65/57.82 (greater_equal(add(X_208, X_206), add('==>'(X_207, X_208), X_206))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_123 :
% 57.65/57.82 [bind(X10, $fot(X_206)), bind(X_160, $fot(X_207)),
% 57.65/57.82 bind(X_161, $fot(X_208))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_125, plain,
% 57.65/57.82 (add(X_206, '==>'(X_207, X_208)) = add('==>'(X_207, X_208), X_206)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_11 :
% 57.65/57.82 [bind(A, $fot(X_206)),
% 57.65/57.82 bind(B, $fot('==>'(X_207, X_208)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_126, plain,
% 57.65/57.82 (add(X_206, '==>'(X_207, X_208)) != add('==>'(X_207, X_208), X_206) |
% 57.65/57.82 add('==>'(X_207, X_208), X_206) = add(X_206, '==>'(X_207, X_208))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_26 :
% 57.65/57.82 [bind(X, $fot(add(X_206, '==>'(X_207, X_208)))),
% 57.65/57.82 bind(Y, $fot(add('==>'(X_207, X_208), X_206)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_127, plain,
% 57.65/57.82 (add('==>'(X_207, X_208), X_206) = add(X_206, '==>'(X_207, X_208))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(X_206, '==>'(X_207, X_208)),
% 57.65/57.82 add('==>'(X_207, X_208), X_206)))],
% 57.65/57.82 [refute_0_125, refute_0_126])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_128, plain,
% 57.65/57.82 (add('==>'(X_207, X_208), X_206) != add(X_206, '==>'(X_207, X_208)) |
% 57.65/57.82 ~ greater_equal(add(X_208, X_206), add('==>'(X_207, X_208), X_206)) |
% 57.65/57.82 greater_equal(add(X_208, X_206), add(X_206, '==>'(X_207, X_208)))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal(add(X_208, X_206),
% 57.65/57.82 add('==>'(X_207, X_208), X_206))), [1],
% 57.65/57.82 $fot(add(X_206, '==>'(X_207, X_208)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_129, plain,
% 57.65/57.82 (~ greater_equal(add(X_208, X_206), add('==>'(X_207, X_208), X_206)) |
% 57.65/57.82 greater_equal(add(X_208, X_206), add(X_206, '==>'(X_207, X_208)))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add('==>'(X_207, X_208), X_206),
% 57.65/57.82 add(X_206, '==>'(X_207, X_208))))],
% 57.65/57.82 [refute_0_127, refute_0_128])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_130, plain,
% 57.65/57.82 (greater_equal(add(X_208, X_206), add(X_206, '==>'(X_207, X_208)))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add(X_208, X_206),
% 57.65/57.82 add('==>'(X_207, X_208), X_206)))],
% 57.65/57.82 [refute_0_124, refute_0_129])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_131, plain,
% 57.65/57.82 (greater_equal(add(X_142, X_141), add(X_141, '==>'(0, X_142)))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_130 :
% 57.65/57.82 [bind(X_206, $fot(X_141)), bind(X_207, $fot(0)),
% 57.65/57.82 bind(X_208, $fot(X_142))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_132, plain, (add(X_141, '==>'(0, X_142)) = add(X_142, X_141)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add(X_142, X_141),
% 57.65/57.82 add(X_141, '==>'(0, X_142))))],
% 57.65/57.82 [refute_0_131, refute_0_120])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_133, plain, ('==>'(0, X_142) = X_142),
% 57.65/57.82 inference(subst, [], [refute_0_87 : [bind(X_362, $fot(X_142))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_134, plain,
% 57.65/57.82 (add(X_141, '==>'(0, X_142)) = add(X_141, '==>'(0, X_142))),
% 57.65/57.82 introduced(tautology, [refl, [$fot(add(X_141, '==>'(0, X_142)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_135, plain,
% 57.65/57.82 (add(X_141, '==>'(0, X_142)) != add(X_141, '==>'(0, X_142)) |
% 57.65/57.82 '==>'(0, X_142) != X_142 |
% 57.65/57.82 add(X_141, '==>'(0, X_142)) = add(X_141, X_142)),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf($equal(add(X_141, '==>'(0, X_142)),
% 57.65/57.82 add(X_141, '==>'(0, X_142)))), [1, 1],
% 57.65/57.82 $fot(X_142)]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_136, plain,
% 57.65/57.82 ('==>'(0, X_142) != X_142 |
% 57.65/57.82 add(X_141, '==>'(0, X_142)) = add(X_141, X_142)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(X_141, '==>'(0, X_142)),
% 57.65/57.82 add(X_141, '==>'(0, X_142))))],
% 57.65/57.82 [refute_0_134, refute_0_135])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_137, plain, (add(X_141, '==>'(0, X_142)) = add(X_141, X_142)),
% 57.65/57.82 inference(resolve, [$cnf($equal('==>'(0, X_142), X_142))],
% 57.65/57.82 [refute_0_133, refute_0_136])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_138, plain,
% 57.65/57.82 (add(X_141, '==>'(0, X_142)) != add(X_141, X_142) |
% 57.65/57.82 add(X_141, '==>'(0, X_142)) != add(X_142, X_141) |
% 57.65/57.82 add(X_141, X_142) = add(X_142, X_141)),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf($equal(add(X_141, '==>'(0, X_142)),
% 57.65/57.82 add(X_142, X_141))), [0],
% 57.65/57.82 $fot(add(X_141, X_142))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_139, plain,
% 57.65/57.82 (add(X_141, '==>'(0, X_142)) != add(X_142, X_141) |
% 57.65/57.82 add(X_141, X_142) = add(X_142, X_141)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(X_141, '==>'(0, X_142)),
% 57.65/57.82 add(X_141, X_142)))], [refute_0_137, refute_0_138])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_140, plain, (add(X_141, X_142) = add(X_142, X_141)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(X_141, '==>'(0, X_142)),
% 57.65/57.82 add(X_142, X_141)))], [refute_0_132, refute_0_139])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_141, plain,
% 57.65/57.82 (add(X_141, X_142) != add(X_142, X_141) |
% 57.65/57.82 add(X_142, X_141) = add(X_141, X_142)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_26 :
% 57.65/57.82 [bind(X, $fot(add(X_141, X_142))),
% 57.65/57.82 bind(Y, $fot(add(X_142, X_141)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_142, plain, (add(X_142, X_141) = add(X_141, X_142)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(X_141, X_142), add(X_142, X_141)))],
% 57.65/57.82 [refute_0_140, refute_0_141])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_143, plain,
% 57.65/57.82 (add(add(X_1113, X_1114), 0) = add(0, add(X_1113, X_1114))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_142 :
% 57.65/57.82 [bind(X_141, $fot(0)),
% 57.65/57.82 bind(X_142, $fot(add(X_1113, X_1114)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_144, plain, (Y != X | Y != Z | X = Z),
% 57.65/57.82 introduced(tautology, [equality, [$cnf($equal(Y, Z)), [0], $fot(X)]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_145, plain, (X != Y | Y != Z | X = Z),
% 57.65/57.82 inference(resolve, [$cnf($equal(Y, X))], [refute_0_26, refute_0_144])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_146, plain,
% 57.65/57.82 (add(add(X_1113, X_1114), 0) != add(0, add(X_1113, X_1114)) |
% 57.65/57.82 add(0, add(X_1113, X_1114)) != add(X_1113, X_1114) |
% 57.65/57.82 add(add(X_1113, X_1114), 0) = add(X_1113, X_1114)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_145 :
% 57.65/57.82 [bind(X, $fot(add(add(X_1113, X_1114), 0))),
% 57.65/57.82 bind(Y, $fot(add(0, add(X_1113, X_1114)))),
% 57.65/57.82 bind(Z, $fot(add(X_1113, X_1114)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_147, plain,
% 57.65/57.82 (add(0, add(X_1113, X_1114)) != add(X_1113, X_1114) |
% 57.65/57.82 add(add(X_1113, X_1114), 0) = add(X_1113, X_1114)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(add(X_1113, X_1114), 0),
% 57.65/57.82 add(0, add(X_1113, X_1114))))],
% 57.65/57.82 [refute_0_143, refute_0_146])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_148, plain,
% 57.65/57.82 (add(add(X_1113, X_1114), 0) = add(X_1113, X_1114)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(0, add(X_1113, X_1114)),
% 57.65/57.82 add(X_1113, X_1114)))],
% 57.65/57.82 [refute_0_108, refute_0_147])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_149, plain,
% 57.65/57.82 (add(add(X_1113, X_1114), 0) != add(X_1113, X_1114) |
% 57.65/57.82 ~
% 57.65/57.82 greater_equal(add(add(X_1113, X_1114), 0),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115)) |
% 57.65/57.82 greater_equal(add(X_1113, X_1114),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal(add(add(X_1113, X_1114), 0),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115),
% 57.65/57.82 X_1115))), [0], $fot(add(X_1113, X_1114))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_150, plain,
% 57.65/57.82 (~
% 57.65/57.82 greater_equal(add(add(X_1113, X_1114), 0),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115)) |
% 57.65/57.82 greater_equal(add(X_1113, X_1114),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(add(X_1113, X_1114), 0),
% 57.65/57.82 add(X_1113, X_1114)))],
% 57.65/57.82 [refute_0_148, refute_0_149])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_151, plain,
% 57.65/57.82 (greater_equal(add(X_1113, X_1114),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add(add(X_1113, X_1114), 0),
% 57.65/57.82 '==>'('==>'(add(X_1114, X_1113), X_1115), X_1115)))],
% 57.65/57.82 [refute_0_107, refute_0_150])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_152, plain,
% 57.65/57.82 (greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.82 '==>'('==>'(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.82 add(X_1116, '==>'(X_1116, X_2432))),
% 57.65/57.82 add(X_1116, '==>'(X_1116, X_2432))))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_151 :
% 57.65/57.82 [bind(X_1113, $fot('==>'(X_2432, X_1116))),
% 57.65/57.82 bind(X_1114, $fot(X_2432)),
% 57.65/57.82 bind(X_1115, $fot(add(X_1116, '==>'(X_1116, X_2432))))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_153, plain,
% 57.65/57.82 (~ greater_equal(0, '==>'(add(X_480, '==>'(X_480, X_479)), X_479)) |
% 57.65/57.82 '==>'(add(X_480, '==>'(X_480, X_479)), X_479) = 0),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_52 :
% 57.65/57.82 [bind(X_361,
% 57.65/57.82 $fot('==>'(add(X_480, '==>'(X_480, X_479)),
% 57.65/57.82 X_479)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_154, plain, (greater_equal(add(X_30, X_29), X_29)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_19 :
% 57.65/57.82 [bind(X_26, $fot(X_29)), bind(X_27, $fot(X_30))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_155, plain, (add(X_29, X_30) = add(X_30, X_29)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_11 : [bind(A, $fot(X_29)), bind(B, $fot(X_30))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_156, plain,
% 57.65/57.82 (add(X_29, X_30) != add(X_30, X_29) |
% 57.65/57.82 add(X_30, X_29) = add(X_29, X_30)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_26 :
% 57.65/57.82 [bind(X, $fot(add(X_29, X_30))),
% 57.65/57.82 bind(Y, $fot(add(X_30, X_29)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_157, plain, (add(X_30, X_29) = add(X_29, X_30)),
% 57.65/57.82 inference(resolve, [$cnf($equal(add(X_29, X_30), add(X_30, X_29)))],
% 57.65/57.82 [refute_0_155, refute_0_156])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_158, plain,
% 57.65/57.82 (add(X_30, X_29) != add(X_29, X_30) |
% 57.65/57.82 ~ greater_equal(add(X_30, X_29), X_29) |
% 57.65/57.82 greater_equal(add(X_29, X_30), X_29)),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(greater_equal(add(X_30, X_29), X_29)), [0],
% 57.65/57.82 $fot(add(X_29, X_30))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_159, plain,
% 57.65/57.82 (~ greater_equal(add(X_30, X_29), X_29) |
% 57.65/57.82 greater_equal(add(X_29, X_30), X_29)),
% 57.65/57.82 inference(resolve, [$cnf($equal(add(X_30, X_29), add(X_29, X_30)))],
% 57.65/57.82 [refute_0_157, refute_0_158])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_160, plain, (greater_equal(add(X_29, X_30), X_29)),
% 57.65/57.82 inference(resolve, [$cnf(greater_equal(add(X_30, X_29), X_29))],
% 57.65/57.82 [refute_0_154, refute_0_159])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_161, plain,
% 57.65/57.82 (greater_equal(add('==>'(X_87, X_89), X_30), '==>'(X_87, X_89))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_160 : [bind(X_29, $fot('==>'(X_87, X_89)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_162, plain,
% 57.65/57.82 (~ greater_equal(add('==>'(X_87, X_89), X_30), '==>'(X_87, X_89)) |
% 57.65/57.82 greater_equal(add(X_87, add('==>'(X_87, X_89), X_30)), X_89)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_3 :
% 57.65/57.82 [bind(X5, $fot(X_87)),
% 57.65/57.82 bind(X6, $fot(add('==>'(X_87, X_89), X_30))),
% 57.65/57.82 bind(X7, $fot(X_89))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_163, plain,
% 57.65/57.82 (greater_equal(add(X_87, add('==>'(X_87, X_89), X_30)), X_89)),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf(greater_equal(add('==>'(X_87, X_89), X_30),
% 57.65/57.82 '==>'(X_87, X_89)))], [refute_0_161, refute_0_162])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_164, plain,
% 57.65/57.82 (greater_equal(add(X_97, add('==>'(X_97, X_98), X_96)), X_98)),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_163 :
% 57.65/57.82 [bind(X_30, $fot(X_96)), bind(X_87, $fot(X_97)),
% 57.65/57.82 bind(X_89, $fot(X_98))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_165, plain, (add(A, add(X_6, X_7)) = add(add(X_6, X_7), A)),
% 57.65/57.82 inference(subst, [], [refute_0_11 : [bind(B, $fot(add(X_6, X_7)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_166, plain, (add(add(X_6, X_7), A) = add(X_6, add(X_7, A))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_21 :
% 57.65/57.82 [bind(A, $fot(X_6)), bind(B, $fot(X_7)),
% 57.65/57.82 bind(C, $fot(A))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_167, plain,
% 57.65/57.82 (add(A, add(X_6, X_7)) != add(add(X_6, X_7), A) |
% 57.65/57.82 add(add(X_6, X_7), A) != add(X_6, add(X_7, A)) |
% 57.65/57.82 add(A, add(X_6, X_7)) = add(X_6, add(X_7, A))),
% 57.65/57.82 introduced(tautology,
% 57.65/57.82 [equality,
% 57.65/57.82 [$cnf(~ $equal(add(A, add(X_6, X_7)),
% 57.65/57.82 add(X_6, add(X_7, A)))), [0],
% 57.65/57.82 $fot(add(add(X_6, X_7), A))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_168, plain,
% 57.65/57.82 (add(A, add(X_6, X_7)) != add(add(X_6, X_7), A) |
% 57.65/57.82 add(A, add(X_6, X_7)) = add(X_6, add(X_7, A))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(add(X_6, X_7), A), add(X_6, add(X_7, A))))],
% 57.65/57.82 [refute_0_166, refute_0_167])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_169, plain, (add(A, add(X_6, X_7)) = add(X_6, add(X_7, A))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(A, add(X_6, X_7)), add(add(X_6, X_7), A)))],
% 57.65/57.82 [refute_0_165, refute_0_168])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_170, plain,
% 57.65/57.82 (add(X_96, add(X_97, '==>'(X_97, X_98))) =
% 57.65/57.82 add(X_97, add('==>'(X_97, X_98), X_96))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_169 :
% 57.65/57.82 [bind(A, $fot(X_96)), bind(X_6, $fot(X_97)),
% 57.65/57.82 bind(X_7, $fot('==>'(X_97, X_98)))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_171, plain,
% 57.65/57.82 (add(X_96, add(X_97, '==>'(X_97, X_98))) !=
% 57.65/57.82 add(X_97, add('==>'(X_97, X_98), X_96)) |
% 57.65/57.82 add(X_97, add('==>'(X_97, X_98), X_96)) =
% 57.65/57.82 add(X_96, add(X_97, '==>'(X_97, X_98)))),
% 57.65/57.82 inference(subst, [],
% 57.65/57.82 [refute_0_26 :
% 57.65/57.82 [bind(X, $fot(add(X_96, add(X_97, '==>'(X_97, X_98))))),
% 57.65/57.82 bind(Y, $fot(add(X_97, add('==>'(X_97, X_98), X_96))))]])).
% 57.65/57.82
% 57.65/57.82 cnf(refute_0_172, plain,
% 57.65/57.82 (add(X_97, add('==>'(X_97, X_98), X_96)) =
% 57.65/57.82 add(X_96, add(X_97, '==>'(X_97, X_98)))),
% 57.65/57.82 inference(resolve,
% 57.65/57.82 [$cnf($equal(add(X_96, add(X_97, '==>'(X_97, X_98))),
% 57.65/57.82 add(X_97, add('==>'(X_97, X_98), X_96))))],
% 57.65/57.82 [refute_0_170, refute_0_171])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_173, plain,
% 57.65/57.83 (add(X_97, add('==>'(X_97, X_98), X_96)) !=
% 57.65/57.83 add(X_96, add(X_97, '==>'(X_97, X_98))) |
% 57.65/57.83 ~ greater_equal(add(X_97, add('==>'(X_97, X_98), X_96)), X_98) |
% 57.65/57.83 greater_equal(add(X_96, add(X_97, '==>'(X_97, X_98))), X_98)),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf(greater_equal(add(X_97,
% 57.65/57.83 add('==>'(X_97, X_98), X_96)), X_98)), [0],
% 57.65/57.83 $fot(add(X_96, add(X_97, '==>'(X_97, X_98))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_174, plain,
% 57.65/57.83 (~ greater_equal(add(X_97, add('==>'(X_97, X_98), X_96)), X_98) |
% 57.65/57.83 greater_equal(add(X_96, add(X_97, '==>'(X_97, X_98))), X_98)),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(X_97, add('==>'(X_97, X_98), X_96)),
% 57.65/57.83 add(X_96, add(X_97, '==>'(X_97, X_98)))))],
% 57.65/57.83 [refute_0_172, refute_0_173])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_175, plain,
% 57.65/57.83 (greater_equal(add(X_96, add(X_97, '==>'(X_97, X_98))), X_98)),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(add(X_97, add('==>'(X_97, X_98), X_96)),
% 57.65/57.83 X_98))], [refute_0_164, refute_0_174])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_176, plain,
% 57.65/57.83 (greater_equal(add(X_157, add(X_97, '==>'(X_97, X_159))), X_159)),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_175 :
% 57.65/57.83 [bind(X_96, $fot(X_157)), bind(X_98, $fot(X_159))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_177, plain,
% 57.65/57.83 (~ greater_equal(add(X_157, add(X_97, '==>'(X_97, X_159))), X_159) |
% 57.65/57.83 greater_equal(add(X_97, '==>'(X_97, X_159)), '==>'(X_157, X_159))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_54 :
% 57.65/57.83 [bind(X5, $fot(X_157)),
% 57.65/57.83 bind(X6, $fot(add(X_97, '==>'(X_97, X_159)))),
% 57.65/57.83 bind(X7, $fot(X_159))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_178, plain,
% 57.65/57.83 (greater_equal(add(X_97, '==>'(X_97, X_159)), '==>'(X_157, X_159))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(add(X_157,
% 57.65/57.83 add(X_97, '==>'(X_97, X_159))), X_159))],
% 57.65/57.83 [refute_0_176, refute_0_177])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_179, plain,
% 57.65/57.83 (~ greater_equal(add(X_97, '==>'(X_97, X_159)), '==>'(X_157, X_159)) |
% 57.65/57.83 greater_equal('==>'('==>'(X_157, X_159), X_282),
% 57.65/57.83 '==>'(add(X_97, '==>'(X_97, X_159)), X_282))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_46 :
% 57.65/57.83 [bind(X11, $fot(add(X_97, '==>'(X_97, X_159)))),
% 57.65/57.83 bind(X12, $fot('==>'(X_157, X_159))),
% 57.65/57.83 bind(X13, $fot(X_282))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_180, plain,
% 57.65/57.83 (greater_equal('==>'('==>'(X_157, X_159), X_282),
% 57.65/57.83 '==>'(add(X_97, '==>'(X_97, X_159)), X_282))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(add(X_97, '==>'(X_97, X_159)),
% 57.65/57.83 '==>'(X_157, X_159)))],
% 57.65/57.83 [refute_0_178, refute_0_179])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_181, plain,
% 57.65/57.83 (greater_equal('==>'('==>'(X_472, X_473), '==>'(X_472, X_473)),
% 57.65/57.83 '==>'(add(X_475, '==>'(X_475, X_473)), '==>'(X_472, X_473)))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_180 :
% 57.65/57.83 [bind(X_157, $fot(X_472)), bind(X_159, $fot(X_473)),
% 57.65/57.83 bind(X_282, $fot('==>'(X_472, X_473))),
% 57.65/57.83 bind(X_97, $fot(X_475))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_182, plain,
% 57.65/57.83 (greater_equal(add(X_157, X_158), add(X_158, X_157))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_45 :
% 57.65/57.83 [bind(X_52, $fot(X_157)), bind(X_53, $fot(X_158))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_183, plain,
% 57.65/57.83 (~ greater_equal(add(X_157, X_158), add(X_158, X_157)) |
% 57.65/57.83 greater_equal(X_158, '==>'(X_157, add(X_158, X_157)))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_54 :
% 57.65/57.83 [bind(X5, $fot(X_157)), bind(X6, $fot(X_158)),
% 57.65/57.83 bind(X7, $fot(add(X_158, X_157)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_184, plain,
% 57.65/57.83 (greater_equal(X_158, '==>'(X_157, add(X_158, X_157)))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(add(X_157, X_158), add(X_158, X_157)))],
% 57.65/57.83 [refute_0_182, refute_0_183])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_185, plain, (greater_equal(0, '==>'(X_157, add(0, X_157)))),
% 57.65/57.83 inference(subst, [], [refute_0_184 : [bind(X_158, $fot(0))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_186, plain,
% 57.65/57.83 (~ greater_equal(0, '==>'(X_157, add(0, X_157))) |
% 57.65/57.83 '==>'(X_157, add(0, X_157)) = 0),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_52 :
% 57.65/57.83 [bind(X_361, $fot('==>'(X_157, add(0, X_157))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_187, plain, ('==>'(X_157, add(0, X_157)) = 0),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(0, '==>'(X_157, add(0, X_157))))],
% 57.65/57.83 [refute_0_185, refute_0_186])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_188, plain, (add(0, X_157) = X_157),
% 57.65/57.83 inference(subst, [], [refute_0_15 : [bind(A, $fot(X_157))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_189, plain,
% 57.65/57.83 ('==>'(X_157, add(0, X_157)) = '==>'(X_157, add(0, X_157))),
% 57.65/57.83 introduced(tautology, [refl, [$fot('==>'(X_157, add(0, X_157)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_190, plain,
% 57.65/57.83 (add(0, X_157) != X_157 |
% 57.65/57.83 '==>'(X_157, add(0, X_157)) != '==>'(X_157, add(0, X_157)) |
% 57.65/57.83 '==>'(X_157, add(0, X_157)) = '==>'(X_157, X_157)),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal('==>'(X_157, add(0, X_157)),
% 57.65/57.83 '==>'(X_157, add(0, X_157)))), [1, 1],
% 57.65/57.83 $fot(X_157)]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_191, plain,
% 57.65/57.83 (add(0, X_157) != X_157 |
% 57.65/57.83 '==>'(X_157, add(0, X_157)) = '==>'(X_157, X_157)),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal('==>'(X_157, add(0, X_157)),
% 57.65/57.83 '==>'(X_157, add(0, X_157))))],
% 57.65/57.83 [refute_0_189, refute_0_190])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_192, plain,
% 57.65/57.83 ('==>'(X_157, add(0, X_157)) = '==>'(X_157, X_157)),
% 57.65/57.83 inference(resolve, [$cnf($equal(add(0, X_157), X_157))],
% 57.65/57.83 [refute_0_188, refute_0_191])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_193, plain,
% 57.65/57.83 ('==>'(X_157, add(0, X_157)) != 0 |
% 57.65/57.83 '==>'(X_157, add(0, X_157)) != '==>'(X_157, X_157) |
% 57.65/57.83 '==>'(X_157, X_157) = 0),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal('==>'(X_157, add(0, X_157)), 0)), [0],
% 57.65/57.83 $fot('==>'(X_157, X_157))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_194, plain,
% 57.65/57.83 ('==>'(X_157, add(0, X_157)) != 0 | '==>'(X_157, X_157) = 0),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal('==>'(X_157, add(0, X_157)),
% 57.65/57.83 '==>'(X_157, X_157)))],
% 57.65/57.83 [refute_0_192, refute_0_193])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_195, plain, ('==>'(X_157, X_157) = 0),
% 57.65/57.83 inference(resolve, [$cnf($equal('==>'(X_157, add(0, X_157)), 0))],
% 57.65/57.83 [refute_0_187, refute_0_194])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_196, plain,
% 57.65/57.83 ('==>'('==>'(X_472, X_473), '==>'(X_472, X_473)) = 0),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_195 : [bind(X_157, $fot('==>'(X_472, X_473)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_197, plain,
% 57.65/57.83 ('==>'('==>'(X_472, X_473), '==>'(X_472, X_473)) != 0 |
% 57.65/57.83 ~
% 57.65/57.83 greater_equal('==>'('==>'(X_472, X_473), '==>'(X_472, X_473)),
% 57.65/57.83 '==>'(add(X_475, '==>'(X_475, X_473)), '==>'(X_472, X_473))) |
% 57.65/57.83 greater_equal(0,
% 57.65/57.83 '==>'(add(X_475, '==>'(X_475, X_473)), '==>'(X_472, X_473)))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf(greater_equal('==>'('==>'(X_472, X_473),
% 57.65/57.83 '==>'(X_472, X_473)),
% 57.65/57.83 '==>'(add(X_475, '==>'(X_475, X_473)),
% 57.65/57.83 '==>'(X_472, X_473)))), [0], $fot(0)]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_198, plain,
% 57.65/57.83 (~
% 57.65/57.83 greater_equal('==>'('==>'(X_472, X_473), '==>'(X_472, X_473)),
% 57.65/57.83 '==>'(add(X_475, '==>'(X_475, X_473)), '==>'(X_472, X_473))) |
% 57.65/57.83 greater_equal(0,
% 57.65/57.83 '==>'(add(X_475, '==>'(X_475, X_473)), '==>'(X_472, X_473)))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal('==>'('==>'(X_472, X_473), '==>'(X_472, X_473)),
% 57.65/57.83 0))], [refute_0_196, refute_0_197])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_199, plain,
% 57.65/57.83 (greater_equal(0,
% 57.65/57.83 '==>'(add(X_475, '==>'(X_475, X_473)), '==>'(X_472, X_473)))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal('==>'('==>'(X_472, X_473),
% 57.65/57.83 '==>'(X_472, X_473)),
% 57.65/57.83 '==>'(add(X_475, '==>'(X_475, X_473)),
% 57.65/57.83 '==>'(X_472, X_473))))],
% 57.65/57.83 [refute_0_181, refute_0_198])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_200, plain,
% 57.65/57.83 (greater_equal(0,
% 57.65/57.83 '==>'(add(X_478, '==>'(X_478, X_477)), '==>'(0, X_477)))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_199 :
% 57.65/57.83 [bind(X_472, $fot(0)), bind(X_473, $fot(X_477)),
% 57.65/57.83 bind(X_475, $fot(X_478))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_201, plain, ('==>'(0, X_477) = X_477),
% 57.65/57.83 inference(subst, [], [refute_0_87 : [bind(X_362, $fot(X_477))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_202, plain,
% 57.65/57.83 ('==>'(0, X_477) != X_477 |
% 57.65/57.83 ~
% 57.65/57.83 greater_equal(0,
% 57.65/57.83 '==>'(add(X_478, '==>'(X_478, X_477)), '==>'(0, X_477))) |
% 57.65/57.83 greater_equal(0, '==>'(add(X_478, '==>'(X_478, X_477)), X_477))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf(greater_equal(0,
% 57.65/57.83 '==>'(add(X_478, '==>'(X_478, X_477)),
% 57.65/57.83 '==>'(0, X_477)))), [1, 1], $fot(X_477)]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_203, plain,
% 57.65/57.83 (~
% 57.65/57.83 greater_equal(0,
% 57.65/57.83 '==>'(add(X_478, '==>'(X_478, X_477)), '==>'(0, X_477))) |
% 57.65/57.83 greater_equal(0, '==>'(add(X_478, '==>'(X_478, X_477)), X_477))),
% 57.65/57.83 inference(resolve, [$cnf($equal('==>'(0, X_477), X_477))],
% 57.65/57.83 [refute_0_201, refute_0_202])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_204, plain,
% 57.65/57.83 (greater_equal(0, '==>'(add(X_478, '==>'(X_478, X_477)), X_477))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(0,
% 57.65/57.83 '==>'(add(X_478, '==>'(X_478, X_477)),
% 57.65/57.83 '==>'(0, X_477))))],
% 57.65/57.83 [refute_0_200, refute_0_203])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_205, plain,
% 57.65/57.83 (greater_equal(0, '==>'(add(X_480, '==>'(X_480, X_479)), X_479))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_204 :
% 57.65/57.83 [bind(X_477, $fot(X_479)), bind(X_478, $fot(X_480))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_206, plain,
% 57.65/57.83 ('==>'(add(X_480, '==>'(X_480, X_479)), X_479) = 0),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(0,
% 57.65/57.83 '==>'(add(X_480, '==>'(X_480, X_479)), X_479)))],
% 57.65/57.83 [refute_0_205, refute_0_153])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_207, plain,
% 57.65/57.83 ('==>'(add(X_480, '==>'(X_480, add(X_1116, '==>'(X_1116, X_480)))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))) = 0),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_206 :
% 57.65/57.83 [bind(X_479, $fot(add(X_1116, '==>'(X_1116, X_480))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_208, plain,
% 57.65/57.83 (add(add(A, '==>'(A, B)), '==>'(add(A, '==>'(A, B)), C)) =
% 57.65/57.83 add(A, '==>'(A, add(B, '==>'(B, C))))),
% 57.65/57.83 inference(canonicalize, [], [normalize_0_26])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_209, plain,
% 57.65/57.83 (add(add(A, '==>'(A, B)), '==>'(add(A, '==>'(A, B)), C)) =
% 57.65/57.83 add(A, add('==>'(A, B), '==>'(add(A, '==>'(A, B)), C)))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_21 :
% 57.65/57.83 [bind(B, $fot('==>'(A, B))),
% 57.65/57.83 bind(C, $fot('==>'(add(A, '==>'(A, B)), C)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_210, plain,
% 57.65/57.83 (add(add(A, '==>'(A, B)), '==>'(add(A, '==>'(A, B)), C)) !=
% 57.65/57.83 add(A, add('==>'(A, B), '==>'(add(A, '==>'(A, B)), C))) |
% 57.65/57.83 add(add(A, '==>'(A, B)), '==>'(add(A, '==>'(A, B)), C)) !=
% 57.65/57.83 add(A, '==>'(A, add(B, '==>'(B, C)))) |
% 57.65/57.83 add(A, add('==>'(A, B), '==>'(add(A, '==>'(A, B)), C))) =
% 57.65/57.83 add(A, '==>'(A, add(B, '==>'(B, C))))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal(add(add(A, '==>'(A, B)),
% 57.65/57.83 '==>'(add(A, '==>'(A, B)), C)),
% 57.65/57.83 add(A, '==>'(A, add(B, '==>'(B, C)))))), [0],
% 57.65/57.83 $fot(add(A,
% 57.65/57.83 add('==>'(A, B),
% 57.65/57.83 '==>'(add(A, '==>'(A, B)), C))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_211, plain,
% 57.65/57.83 (add(add(A, '==>'(A, B)), '==>'(add(A, '==>'(A, B)), C)) !=
% 57.65/57.83 add(A, '==>'(A, add(B, '==>'(B, C)))) |
% 57.65/57.83 add(A, add('==>'(A, B), '==>'(add(A, '==>'(A, B)), C))) =
% 57.65/57.83 add(A, '==>'(A, add(B, '==>'(B, C))))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(add(A, '==>'(A, B)),
% 57.65/57.83 '==>'(add(A, '==>'(A, B)), C)),
% 57.65/57.83 add(A,
% 57.65/57.83 add('==>'(A, B),
% 57.65/57.83 '==>'(add(A, '==>'(A, B)), C)))))],
% 57.65/57.83 [refute_0_209, refute_0_210])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_212, plain,
% 57.65/57.83 (add(A, add('==>'(A, B), '==>'(add(A, '==>'(A, B)), C))) =
% 57.65/57.83 add(A, '==>'(A, add(B, '==>'(B, C))))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(add(A, '==>'(A, B)),
% 57.65/57.83 '==>'(add(A, '==>'(A, B)), C)),
% 57.65/57.83 add(A, '==>'(A, add(B, '==>'(B, C))))))],
% 57.65/57.83 [refute_0_208, refute_0_211])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_213, plain,
% 57.65/57.83 (add(C, add('==>'(C, B), '==>'(add(C, '==>'(C, B)), C))) =
% 57.65/57.83 add(C, '==>'(C, add(B, '==>'(B, C))))),
% 57.65/57.83 inference(subst, [], [refute_0_212 : [bind(A, $fot(C))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_214, plain,
% 57.65/57.83 (~ greater_equal(0, '==>'(add(X_379, X_378), X_379)) |
% 57.65/57.83 '==>'(add(X_379, X_378), X_379) = 0),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_52 :
% 57.65/57.83 [bind(X_361, $fot('==>'(add(X_379, X_378), X_379)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_215, plain, (greater_equal(add(X_318, X_30), X_318)),
% 57.65/57.83 inference(subst, [], [refute_0_160 : [bind(X_29, $fot(X_318))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_216, plain,
% 57.65/57.83 (~ greater_equal(X14, X15) |
% 57.65/57.83 greater_equal('==>'(X16, X14), '==>'(X16, X15))),
% 57.65/57.83 inference(canonicalize, [], [normalize_0_29])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_217, plain,
% 57.65/57.83 (~ greater_equal(add(X_318, X_30), X_318) |
% 57.65/57.83 greater_equal('==>'(X_319, add(X_318, X_30)), '==>'(X_319, X_318))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_216 :
% 57.65/57.83 [bind(X14, $fot(add(X_318, X_30))), bind(X15, $fot(X_318)),
% 57.65/57.83 bind(X16, $fot(X_319))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_218, plain,
% 57.65/57.83 (greater_equal('==>'(X_319, add(X_318, X_30)), '==>'(X_319, X_318))),
% 57.65/57.83 inference(resolve, [$cnf(greater_equal(add(X_318, X_30), X_318))],
% 57.65/57.83 [refute_0_215, refute_0_217])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_219, plain,
% 57.65/57.83 (greater_equal('==>'(add(X_318, X_30), add(X_318, X_30)),
% 57.65/57.83 '==>'(add(X_318, X_30), X_318))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_218 : [bind(X_319, $fot(add(X_318, X_30)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_220, plain, ('==>'(add(X_318, X_30), add(X_318, X_30)) = 0),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_195 : [bind(X_157, $fot(add(X_318, X_30)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_221, plain,
% 57.65/57.83 ('==>'(add(X_318, X_30), add(X_318, X_30)) != 0 |
% 57.65/57.83 ~
% 57.65/57.83 greater_equal('==>'(add(X_318, X_30), add(X_318, X_30)),
% 57.65/57.83 '==>'(add(X_318, X_30), X_318)) |
% 57.65/57.83 greater_equal(0, '==>'(add(X_318, X_30), X_318))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf(greater_equal('==>'(add(X_318, X_30),
% 57.65/57.83 add(X_318, X_30)),
% 57.65/57.83 '==>'(add(X_318, X_30), X_318))), [0], $fot(0)]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_222, plain,
% 57.65/57.83 (~
% 57.65/57.83 greater_equal('==>'(add(X_318, X_30), add(X_318, X_30)),
% 57.65/57.83 '==>'(add(X_318, X_30), X_318)) |
% 57.65/57.83 greater_equal(0, '==>'(add(X_318, X_30), X_318))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal('==>'(add(X_318, X_30), add(X_318, X_30)), 0))],
% 57.65/57.83 [refute_0_220, refute_0_221])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_223, plain,
% 57.65/57.83 (greater_equal(0, '==>'(add(X_318, X_30), X_318))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal('==>'(add(X_318, X_30),
% 57.65/57.83 add(X_318, X_30)),
% 57.65/57.83 '==>'(add(X_318, X_30), X_318)))],
% 57.65/57.83 [refute_0_219, refute_0_222])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_224, plain,
% 57.65/57.83 (greater_equal(0, '==>'(add(X_379, X_378), X_379))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_223 :
% 57.65/57.83 [bind(X_30, $fot(X_378)), bind(X_318, $fot(X_379))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_225, plain, ('==>'(add(X_379, X_378), X_379) = 0),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(0, '==>'(add(X_379, X_378), X_379)))],
% 57.65/57.83 [refute_0_224, refute_0_214])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_226, plain, ('==>'(add(C, '==>'(C, B)), C) = 0),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_225 :
% 57.65/57.83 [bind(X_378, $fot('==>'(C, B))), bind(X_379, $fot(C))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_227, plain,
% 57.65/57.83 (add(C, add('==>'(C, B), '==>'(add(C, '==>'(C, B)), C))) !=
% 57.65/57.83 add(C, '==>'(C, add(B, '==>'(B, C)))) |
% 57.65/57.83 '==>'(add(C, '==>'(C, B)), C) != 0 |
% 57.65/57.83 add(C, add('==>'(C, B), 0)) = add(C, '==>'(C, add(B, '==>'(B, C))))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal(add(C,
% 57.65/57.83 add('==>'(C, B), '==>'(add(C, '==>'(C, B)), C))),
% 57.65/57.83 add(C, '==>'(C, add(B, '==>'(B, C)))))), [0, 1, 1],
% 57.65/57.83 $fot(0)]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_228, plain,
% 57.65/57.83 (add(C, add('==>'(C, B), '==>'(add(C, '==>'(C, B)), C))) !=
% 57.65/57.83 add(C, '==>'(C, add(B, '==>'(B, C)))) |
% 57.65/57.83 add(C, add('==>'(C, B), 0)) = add(C, '==>'(C, add(B, '==>'(B, C))))),
% 57.65/57.83 inference(resolve, [$cnf($equal('==>'(add(C, '==>'(C, B)), C), 0))],
% 57.65/57.83 [refute_0_226, refute_0_227])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_229, plain,
% 57.65/57.83 (add(C, add('==>'(C, B), 0)) = add(C, '==>'(C, add(B, '==>'(B, C))))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(C,
% 57.65/57.83 add('==>'(C, B), '==>'(add(C, '==>'(C, B)), C))),
% 57.65/57.83 add(C, '==>'(C, add(B, '==>'(B, C))))))],
% 57.65/57.83 [refute_0_213, refute_0_228])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_230, plain, (add(0, '==>'(C, B)) = '==>'(C, B)),
% 57.65/57.83 inference(subst, [], [refute_0_15 : [bind(A, $fot('==>'(C, B)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_231, plain,
% 57.65/57.83 (add(C, add(0, '==>'(C, B))) = add(C, add(0, '==>'(C, B)))),
% 57.65/57.83 introduced(tautology, [refl, [$fot(add(C, add(0, '==>'(C, B))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_232, plain,
% 57.65/57.83 (add(C, add(0, '==>'(C, B))) != add(C, add(0, '==>'(C, B))) |
% 57.65/57.83 add(0, '==>'(C, B)) != '==>'(C, B) |
% 57.65/57.83 add(C, add(0, '==>'(C, B))) = add(C, '==>'(C, B))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal(add(C, add(0, '==>'(C, B))),
% 57.65/57.83 add(C, add(0, '==>'(C, B))))), [1, 1],
% 57.65/57.83 $fot('==>'(C, B))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_233, plain,
% 57.65/57.83 (add(0, '==>'(C, B)) != '==>'(C, B) |
% 57.65/57.83 add(C, add(0, '==>'(C, B))) = add(C, '==>'(C, B))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(C, add(0, '==>'(C, B))),
% 57.65/57.83 add(C, add(0, '==>'(C, B)))))],
% 57.65/57.83 [refute_0_231, refute_0_232])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_234, plain,
% 57.65/57.83 (add(C, add(0, '==>'(C, B))) = add(C, '==>'(C, B))),
% 57.65/57.83 inference(resolve, [$cnf($equal(add(0, '==>'(C, B)), '==>'(C, B)))],
% 57.65/57.83 [refute_0_230, refute_0_233])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_235, plain,
% 57.65/57.83 (add(add(X_20, X_22), B) = add(B, add(X_20, X_22))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_11 : [bind(A, $fot(add(X_20, X_22)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_236, plain, (add(X_7, X_6) = add(X_6, X_7)),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_11 : [bind(A, $fot(X_7)), bind(B, $fot(X_6))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_237, plain,
% 57.65/57.83 (add(X_7, X_6) != add(X_6, X_7) | add(X_6, X_7) = add(X_7, X_6)),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_26 :
% 57.65/57.83 [bind(X, $fot(add(X_7, X_6))),
% 57.65/57.83 bind(Y, $fot(add(X_6, X_7)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_238, plain, (add(X_6, X_7) = add(X_7, X_6)),
% 57.65/57.83 inference(resolve, [$cnf($equal(add(X_7, X_6), add(X_6, X_7)))],
% 57.65/57.83 [refute_0_236, refute_0_237])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_239, plain,
% 57.65/57.83 (add(X_6, X_7) != add(X_7, X_6) |
% 57.65/57.83 add(add(X_6, X_7), X_8) != add(X_6, add(X_7, X_8)) |
% 57.65/57.83 add(add(X_7, X_6), X_8) = add(X_6, add(X_7, X_8))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal(add(add(X_6, X_7), X_8),
% 57.65/57.83 add(X_6, add(X_7, X_8)))), [0, 0],
% 57.65/57.83 $fot(add(X_7, X_6))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_240, plain,
% 57.65/57.83 (add(add(X_6, X_7), X_8) != add(X_6, add(X_7, X_8)) |
% 57.65/57.83 add(add(X_7, X_6), X_8) = add(X_6, add(X_7, X_8))),
% 57.65/57.83 inference(resolve, [$cnf($equal(add(X_6, X_7), add(X_7, X_6)))],
% 57.65/57.83 [refute_0_238, refute_0_239])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_241, plain,
% 57.65/57.83 (add(add(X_7, X_6), X_8) = add(X_6, add(X_7, X_8))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(add(X_6, X_7), X_8),
% 57.65/57.83 add(X_6, add(X_7, X_8))))],
% 57.65/57.83 [refute_0_22, refute_0_240])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_242, plain,
% 57.65/57.83 (add(add(X_7, X_6), X_8) = add(X_7, add(X_6, X_8))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_21 :
% 57.65/57.83 [bind(A, $fot(X_7)), bind(B, $fot(X_6)),
% 57.65/57.83 bind(C, $fot(X_8))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_243, plain,
% 57.65/57.83 (add(add(X_7, X_6), X_8) != add(X_6, add(X_7, X_8)) |
% 57.65/57.83 add(add(X_7, X_6), X_8) != add(X_7, add(X_6, X_8)) |
% 57.65/57.83 add(X_7, add(X_6, X_8)) = add(X_6, add(X_7, X_8))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal(add(add(X_7, X_6), X_8),
% 57.65/57.83 add(X_6, add(X_7, X_8)))), [0],
% 57.65/57.83 $fot(add(X_7, add(X_6, X_8)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_244, plain,
% 57.65/57.83 (add(add(X_7, X_6), X_8) != add(X_6, add(X_7, X_8)) |
% 57.65/57.83 add(X_7, add(X_6, X_8)) = add(X_6, add(X_7, X_8))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(add(X_7, X_6), X_8),
% 57.65/57.83 add(X_7, add(X_6, X_8))))],
% 57.65/57.83 [refute_0_242, refute_0_243])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_245, plain,
% 57.65/57.83 (add(X_7, add(X_6, X_8)) = add(X_6, add(X_7, X_8))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(add(X_7, X_6), X_8),
% 57.65/57.83 add(X_6, add(X_7, X_8))))],
% 57.65/57.83 [refute_0_241, refute_0_244])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_246, plain,
% 57.65/57.83 (add(B, add(X_20, X_22)) = add(X_20, add(B, X_22))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_245 :
% 57.65/57.83 [bind(X_6, $fot(X_20)), bind(X_7, $fot(B)),
% 57.65/57.83 bind(X_8, $fot(X_22))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_247, plain,
% 57.65/57.83 (add(B, add(X_20, X_22)) != add(X_20, add(B, X_22)) |
% 57.65/57.83 add(add(X_20, X_22), B) != add(B, add(X_20, X_22)) |
% 57.65/57.83 add(add(X_20, X_22), B) = add(X_20, add(B, X_22))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal(add(add(X_20, X_22), B),
% 57.65/57.83 add(B, add(X_20, X_22)))), [1],
% 57.65/57.83 $fot(add(X_20, add(B, X_22)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_248, plain,
% 57.65/57.83 (add(add(X_20, X_22), B) != add(B, add(X_20, X_22)) |
% 57.65/57.83 add(add(X_20, X_22), B) = add(X_20, add(B, X_22))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(B, add(X_20, X_22)),
% 57.65/57.83 add(X_20, add(B, X_22))))],
% 57.65/57.83 [refute_0_246, refute_0_247])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_249, plain,
% 57.65/57.83 (add(add(X_20, X_22), B) = add(X_20, add(B, X_22))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(add(X_20, X_22), B),
% 57.65/57.83 add(B, add(X_20, X_22))))],
% 57.65/57.83 [refute_0_235, refute_0_248])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_250, plain,
% 57.65/57.83 (add(add(X_20, X_22), B) = add(X_20, add(X_22, B))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_21 :
% 57.65/57.83 [bind(A, $fot(X_20)), bind(B, $fot(X_22)),
% 57.65/57.83 bind(C, $fot(B))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_251, plain,
% 57.65/57.83 (add(add(X_20, X_22), B) != add(X_20, add(B, X_22)) |
% 57.65/57.83 add(add(X_20, X_22), B) != add(X_20, add(X_22, B)) |
% 57.65/57.83 add(X_20, add(X_22, B)) = add(X_20, add(B, X_22))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal(add(add(X_20, X_22), B),
% 57.65/57.83 add(X_20, add(B, X_22)))), [0],
% 57.65/57.83 $fot(add(X_20, add(X_22, B)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_252, plain,
% 57.65/57.83 (add(add(X_20, X_22), B) != add(X_20, add(B, X_22)) |
% 57.65/57.83 add(X_20, add(X_22, B)) = add(X_20, add(B, X_22))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(add(X_20, X_22), B),
% 57.65/57.83 add(X_20, add(X_22, B))))],
% 57.65/57.83 [refute_0_250, refute_0_251])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_253, plain,
% 57.65/57.83 (add(X_20, add(X_22, B)) = add(X_20, add(B, X_22))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(add(X_20, X_22), B),
% 57.65/57.83 add(X_20, add(B, X_22))))],
% 57.65/57.83 [refute_0_249, refute_0_252])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_254, plain,
% 57.65/57.83 (add(X_20, add(X_22, B)) != add(X_20, add(B, X_22)) |
% 57.65/57.83 add(X_20, add(B, X_22)) = add(X_20, add(X_22, B))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_26 :
% 57.65/57.83 [bind(X, $fot(add(X_20, add(X_22, B)))),
% 57.65/57.83 bind(Y, $fot(add(X_20, add(B, X_22))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_255, plain,
% 57.65/57.83 (add(X_20, add(B, X_22)) = add(X_20, add(X_22, B))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(X_20, add(X_22, B)),
% 57.65/57.83 add(X_20, add(B, X_22))))],
% 57.65/57.83 [refute_0_253, refute_0_254])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_256, plain,
% 57.65/57.83 (add(C, add('==>'(C, B), 0)) = add(C, add(0, '==>'(C, B)))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_255 :
% 57.65/57.83 [bind(B, $fot('==>'(C, B))), bind(X_20, $fot(C)),
% 57.65/57.83 bind(X_22, $fot(0))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_257, plain,
% 57.65/57.83 (add(C, add(0, '==>'(C, B))) != add(C, '==>'(C, B)) |
% 57.65/57.83 add(C, add('==>'(C, B), 0)) != add(C, add(0, '==>'(C, B))) |
% 57.65/57.83 add(C, add('==>'(C, B), 0)) = add(C, '==>'(C, B))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_145 :
% 57.65/57.83 [bind(X, $fot(add(C, add('==>'(C, B), 0)))),
% 57.65/57.83 bind(Y, $fot(add(C, add(0, '==>'(C, B))))),
% 57.65/57.83 bind(Z, $fot(add(C, '==>'(C, B))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_258, plain,
% 57.65/57.83 (add(C, add(0, '==>'(C, B))) != add(C, '==>'(C, B)) |
% 57.65/57.83 add(C, add('==>'(C, B), 0)) = add(C, '==>'(C, B))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(C, add('==>'(C, B), 0)),
% 57.65/57.83 add(C, add(0, '==>'(C, B)))))],
% 57.65/57.83 [refute_0_256, refute_0_257])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_259, plain,
% 57.65/57.83 (add(C, add('==>'(C, B), 0)) = add(C, '==>'(C, B))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(C, add(0, '==>'(C, B))),
% 57.65/57.83 add(C, '==>'(C, B))))],
% 57.65/57.83 [refute_0_234, refute_0_258])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_260, plain,
% 57.65/57.83 (add(C, add('==>'(C, B), 0)) != add(C, '==>'(C, B)) |
% 57.65/57.83 add(C, add('==>'(C, B), 0)) != add(C, '==>'(C, add(B, '==>'(B, C)))) |
% 57.65/57.83 add(C, '==>'(C, B)) = add(C, '==>'(C, add(B, '==>'(B, C))))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal(add(C, add('==>'(C, B), 0)),
% 57.65/57.83 add(C, '==>'(C, add(B, '==>'(B, C)))))), [0],
% 57.65/57.83 $fot(add(C, '==>'(C, B)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_261, plain,
% 57.65/57.83 (add(C, add('==>'(C, B), 0)) != add(C, '==>'(C, add(B, '==>'(B, C)))) |
% 57.65/57.83 add(C, '==>'(C, B)) = add(C, '==>'(C, add(B, '==>'(B, C))))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(C, add('==>'(C, B), 0)),
% 57.65/57.83 add(C, '==>'(C, B))))],
% 57.65/57.83 [refute_0_259, refute_0_260])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_262, plain,
% 57.65/57.83 (add(C, '==>'(C, B)) = add(C, '==>'(C, add(B, '==>'(B, C))))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(C, add('==>'(C, B), 0)),
% 57.65/57.83 add(C, '==>'(C, add(B, '==>'(B, C))))))],
% 57.65/57.83 [refute_0_229, refute_0_261])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_263, plain,
% 57.65/57.83 (add(X_480, '==>'(X_480, X_1116)) =
% 57.65/57.83 add(X_480, '==>'(X_480, add(X_1116, '==>'(X_1116, X_480))))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_262 :
% 57.65/57.83 [bind(B, $fot(X_1116)), bind(C, $fot(X_480))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_264, plain,
% 57.65/57.83 (add(X_480, '==>'(X_480, X_1116)) !=
% 57.65/57.83 add(X_480, '==>'(X_480, add(X_1116, '==>'(X_1116, X_480)))) |
% 57.65/57.83 add(X_480, '==>'(X_480, add(X_1116, '==>'(X_1116, X_480)))) =
% 57.65/57.83 add(X_480, '==>'(X_480, X_1116))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_26 :
% 57.65/57.83 [bind(X, $fot(add(X_480, '==>'(X_480, X_1116)))),
% 57.65/57.83 bind(Y,
% 57.65/57.83 $fot(add(X_480,
% 57.65/57.83 '==>'(X_480,
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_265, plain,
% 57.65/57.83 (add(X_480, '==>'(X_480, add(X_1116, '==>'(X_1116, X_480)))) =
% 57.65/57.83 add(X_480, '==>'(X_480, X_1116))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(X_480, '==>'(X_480, X_1116)),
% 57.65/57.83 add(X_480,
% 57.65/57.83 '==>'(X_480,
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))))))],
% 57.65/57.83 [refute_0_263, refute_0_264])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_266, plain,
% 57.65/57.83 (add(X_480, '==>'(X_480, add(X_1116, '==>'(X_1116, X_480)))) !=
% 57.65/57.83 add(X_480, '==>'(X_480, X_1116)) |
% 57.65/57.83 '==>'(add(X_480, '==>'(X_480, add(X_1116, '==>'(X_1116, X_480)))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))) != 0 |
% 57.65/57.83 '==>'(add(X_480, '==>'(X_480, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))) = 0),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf($equal('==>'(add(X_480,
% 57.65/57.83 '==>'(X_480,
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480)))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))), 0)), [0, 0],
% 57.65/57.83 $fot(add(X_480, '==>'(X_480, X_1116)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_267, plain,
% 57.65/57.83 ('==>'(add(X_480, '==>'(X_480, add(X_1116, '==>'(X_1116, X_480)))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))) != 0 |
% 57.65/57.83 '==>'(add(X_480, '==>'(X_480, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))) = 0),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(X_480,
% 57.65/57.83 '==>'(X_480, add(X_1116, '==>'(X_1116, X_480)))),
% 57.65/57.83 add(X_480, '==>'(X_480, X_1116))))],
% 57.65/57.83 [refute_0_265, refute_0_266])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_268, plain,
% 57.65/57.83 ('==>'(add(X_480, '==>'(X_480, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))) = 0),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal('==>'(add(X_480,
% 57.65/57.83 '==>'(X_480, add(X_1116, '==>'(X_1116, X_480)))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_480))), 0))],
% 57.65/57.83 [refute_0_207, refute_0_267])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_269, plain,
% 57.65/57.83 ('==>'(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))) = 0),
% 57.65/57.83 inference(subst, [], [refute_0_268 : [bind(X_480, $fot(X_2432))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_270, plain,
% 57.65/57.83 ('==>'(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))) != 0 |
% 57.65/57.83 ~
% 57.65/57.83 greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'('==>'(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432)))) |
% 57.65/57.83 greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432))))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf(greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'('==>'(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))))), [1, 0],
% 57.65/57.83 $fot(0)]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_271, plain,
% 57.65/57.83 (~
% 57.65/57.83 greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'('==>'(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432)))) |
% 57.65/57.83 greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432))))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal('==>'(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))), 0))],
% 57.65/57.83 [refute_0_269, refute_0_270])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_272, plain,
% 57.65/57.83 (greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432))))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'('==>'(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432)))))],
% 57.65/57.83 [refute_0_152, refute_0_271])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_273, plain,
% 57.65/57.83 (add('==>'(X_2432, X_1116), X_2432) =
% 57.65/57.83 add(X_2432, '==>'(X_2432, X_1116))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_142 :
% 57.65/57.83 [bind(X_141, $fot(X_2432)),
% 57.65/57.83 bind(X_142, $fot('==>'(X_2432, X_1116)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_274, plain,
% 57.65/57.83 (add('==>'(X_2432, X_1116), X_2432) !=
% 57.65/57.83 add(X_2432, '==>'(X_2432, X_1116)) |
% 57.65/57.83 ~
% 57.65/57.83 greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432)))) |
% 57.65/57.83 greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432))))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf(greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432))))),
% 57.65/57.83 [0], $fot(add(X_2432, '==>'(X_2432, X_1116)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_275, plain,
% 57.65/57.83 (~
% 57.65/57.83 greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432)))) |
% 57.65/57.83 greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432))))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 add(X_2432, '==>'(X_2432, X_1116))))],
% 57.65/57.83 [refute_0_273, refute_0_274])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_276, plain,
% 57.65/57.83 ('==>'(0, add(X_1116, '==>'(X_1116, X_2432))) =
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_87 :
% 57.65/57.83 [bind(X_362, $fot(add(X_1116, '==>'(X_1116, X_2432))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_277, plain,
% 57.65/57.83 ('==>'(0, add(X_1116, '==>'(X_1116, X_2432))) !=
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432)) |
% 57.65/57.83 ~
% 57.65/57.83 greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432)))) |
% 57.65/57.83 greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432)))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf(greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432))))),
% 57.65/57.83 [1], $fot(add(X_1116, '==>'(X_1116, X_2432)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_278, plain,
% 57.65/57.83 (~
% 57.65/57.83 greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432)))) |
% 57.65/57.83 greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432)))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal('==>'(0, add(X_1116, '==>'(X_1116, X_2432))),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432))))],
% 57.65/57.83 [refute_0_276, refute_0_277])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_279, plain,
% 57.65/57.83 (~
% 57.65/57.83 greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432)))) |
% 57.65/57.83 greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432)))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432)))))],
% 57.65/57.83 [refute_0_275, refute_0_278])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_280, plain,
% 57.65/57.83 (greater_equal(add(X_2432, '==>'(X_2432, X_1116)),
% 57.65/57.83 add(X_1116, '==>'(X_1116, X_2432)))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(add('==>'(X_2432, X_1116), X_2432),
% 57.65/57.83 '==>'(0, add(X_1116, '==>'(X_1116, X_2432)))))],
% 57.65/57.83 [refute_0_272, refute_0_279])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_281, plain,
% 57.65/57.83 (greater_equal(add(X_2435, '==>'(X_2435, X_2434)),
% 57.65/57.83 add(X_2434, '==>'(X_2434, X_2435)))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_280 :
% 57.65/57.83 [bind(X_1116, $fot(X_2434)), bind(X_2432, $fot(X_2435))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_282, plain,
% 57.65/57.83 (~
% 57.65/57.83 greater_equal(add(X_2434, '==>'(X_2434, X_2435)),
% 57.65/57.83 add(X_2435, '==>'(X_2435, X_2434))) |
% 57.65/57.83 add(X_2434, '==>'(X_2434, X_2435)) =
% 57.65/57.83 add(X_2435, '==>'(X_2435, X_2434))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(add(X_2435, '==>'(X_2435, X_2434)),
% 57.65/57.83 add(X_2434, '==>'(X_2434, X_2435))))],
% 57.65/57.83 [refute_0_281, refute_0_2])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_283, plain,
% 57.65/57.83 (greater_equal(add(X_2434, '==>'(X_2434, X_2435)),
% 57.65/57.83 add(X_2435, '==>'(X_2435, X_2434)))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_280 :
% 57.65/57.83 [bind(X_1116, $fot(X_2435)), bind(X_2432, $fot(X_2434))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_284, plain,
% 57.65/57.83 (add(X_2434, '==>'(X_2434, X_2435)) =
% 57.65/57.83 add(X_2435, '==>'(X_2435, X_2434))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf(greater_equal(add(X_2434, '==>'(X_2434, X_2435)),
% 57.65/57.83 add(X_2435, '==>'(X_2435, X_2434))))],
% 57.65/57.83 [refute_0_283, refute_0_282])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_285, plain,
% 57.65/57.83 (add(X_2434, '==>'(X_2434, X_2435)) !=
% 57.65/57.83 add(X_2435, '==>'(X_2435, X_2434)) |
% 57.65/57.83 add(X_2435, '==>'(X_2435, X_2434)) =
% 57.65/57.83 add(X_2434, '==>'(X_2434, X_2435))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_26 :
% 57.65/57.83 [bind(X, $fot(add(X_2434, '==>'(X_2434, X_2435)))),
% 57.65/57.83 bind(Y, $fot(add(X_2435, '==>'(X_2435, X_2434))))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_286, plain,
% 57.65/57.83 (add(X_2435, '==>'(X_2435, X_2434)) =
% 57.65/57.83 add(X_2434, '==>'(X_2434, X_2435))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(X_2434, '==>'(X_2434, X_2435)),
% 57.65/57.83 add(X_2435, '==>'(X_2435, X_2434))))],
% 57.65/57.83 [refute_0_284, refute_0_285])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_287, plain,
% 57.65/57.83 (add(skolemFOFtoCNF_X18,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17)) =
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))),
% 57.65/57.83 inference(subst, [],
% 57.65/57.83 [refute_0_286 :
% 57.65/57.83 [bind(X_2434, $fot(skolemFOFtoCNF_X17)),
% 57.65/57.83 bind(X_2435, $fot(skolemFOFtoCNF_X18))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_288, plain,
% 57.65/57.83 (add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) |
% 57.65/57.83 add(skolemFOFtoCNF_X18,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17)) !=
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) |
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) =
% 57.65/57.83 add(skolemFOFtoCNF_X18,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [equality,
% 57.65/57.83 [$cnf(~ $equal(add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)),
% 57.65/57.83 add(skolemFOFtoCNF_X18,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17)))),
% 57.65/57.83 [1],
% 57.65/57.83 $fot(add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17,
% 57.65/57.83 skolemFOFtoCNF_X18)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_289, plain,
% 57.65/57.83 (add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) |
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) =
% 57.65/57.83 add(skolemFOFtoCNF_X18,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(skolemFOFtoCNF_X18,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17)),
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))))],
% 57.65/57.83 [refute_0_287, refute_0_288])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_290, plain,
% 57.65/57.83 (add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) !=
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)),
% 57.65/57.83 add(skolemFOFtoCNF_X18,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X18, skolemFOFtoCNF_X17))))],
% 57.65/57.83 [refute_0_289, refute_0_0])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_291, plain,
% 57.65/57.83 (add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)) =
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))),
% 57.65/57.83 introduced(tautology,
% 57.65/57.83 [refl,
% 57.65/57.83 [$fot(add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17,
% 57.65/57.83 skolemFOFtoCNF_X18)))]])).
% 57.65/57.83
% 57.65/57.83 cnf(refute_0_292, plain, ($false),
% 57.65/57.83 inference(resolve,
% 57.65/57.83 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18)),
% 57.65/57.83 add(skolemFOFtoCNF_X17,
% 57.65/57.83 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X18))))],
% 57.65/57.83 [refute_0_291, refute_0_290])).
% 57.65/57.83 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.65/57.83
%------------------------------------------------------------------------------