TSTP Solution File: LCL893+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL893+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 12:56:48 EDT 2022
% Result : Theorem 9.95s 10.16s
% Output : CNFRefutation 10.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % 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 : Sun Jul 3 02:32:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 9.95/10.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.95/10.16
% 9.95/10.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.95/10.17 fof(sos_01, axiom, (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C)))).
% 9.95/10.17
% 9.95/10.17 fof(sos_02, axiom, (! [A, B] : add(A, B) = add(B, A))).
% 9.95/10.17
% 9.95/10.17 fof(sos_03, axiom, (! [A] : add(A, 0) = A)).
% 9.95/10.17
% 9.95/10.17 fof(sos_04, axiom, (! [A] : add(A, 1) = 1)).
% 9.95/10.17
% 9.95/10.17 fof(sos_05, axiom, (! [A] : greater_equal(A, A))).
% 9.95/10.17
% 9.95/10.17 fof(sos_07, axiom,
% 9.95/10.17 (! [X3, X4] :
% 9.95/10.17 ((greater_equal(X3, X4) & greater_equal(X4, X3)) => X3 = X4))).
% 9.95/10.17
% 9.95/10.17 fof(sos_08, axiom,
% 9.95/10.17 (! [X5, X6, X7] :
% 9.95/10.17 (greater_equal(add(X5, X6), X7) <=>
% 9.95/10.17 greater_equal(X6, '==>'(X5, X7))))).
% 9.95/10.17
% 9.95/10.17 fof(sos_09, axiom, (! [A] : greater_equal(A, 0))).
% 9.95/10.17
% 9.95/10.17 fof(sos_10, axiom,
% 9.95/10.17 (! [X8, X9, X10] :
% 9.95/10.17 (greater_equal(X8, X9) =>
% 9.95/10.17 greater_equal(add(X8, X10), add(X9, X10))))).
% 9.95/10.17
% 9.95/10.17 fof(sos_11, axiom,
% 9.95/10.17 (! [X11, X12, X13] :
% 9.95/10.17 (greater_equal(X11, X12) =>
% 9.95/10.17 greater_equal('==>'(X12, X13), '==>'(X11, X13))))).
% 9.95/10.17
% 9.95/10.17 fof(sos_12, axiom,
% 9.95/10.17 (! [X14, X15, X16] :
% 9.95/10.17 (greater_equal(X14, X15) =>
% 9.95/10.17 greater_equal('==>'(X16, X14), '==>'(X16, X15))))).
% 9.95/10.17
% 9.95/10.17 fof(sos_13, axiom, (! [A, B] : add(A, '==>'(A, B)) = add(B, '==>'(B, A)))).
% 9.95/10.17
% 9.95/10.17 fof(sos_14, axiom, (! [A] : h(A) = '==>'(h(A), A))).
% 9.95/10.17
% 9.95/10.17 fof(goals_15, conjecture, (! [X17] : (h(X17) = X17 => X17 = 0))).
% 9.95/10.17
% 9.95/10.17 fof(subgoal_0, plain, (! [X17] : (h(X17) = X17 => X17 = 0)),
% 9.95/10.17 inference(strip, [], [goals_15])).
% 9.95/10.17
% 9.95/10.17 fof(negate_0_0, plain, (~ ! [X17] : (h(X17) = X17 => X17 = 0)),
% 9.95/10.17 inference(negate, [], [subgoal_0])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_0, plain, (? [X17] : (X17 != 0 & h(X17) = X17)),
% 9.95/10.17 inference(canonicalize, [], [negate_0_0])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_1, plain,
% 9.95/10.17 (skolemFOFtoCNF_X17 != 0 & h(skolemFOFtoCNF_X17) = skolemFOFtoCNF_X17),
% 9.95/10.17 inference(skolemize, [], [normalize_0_0])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_2, plain, (skolemFOFtoCNF_X17 != 0),
% 9.95/10.17 inference(conjunct, [], [normalize_0_1])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_3, plain,
% 9.95/10.17 (! [X8, X9] :
% 9.95/10.17 (~ greater_equal(X8, X9) |
% 9.95/10.17 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 9.95/10.17 inference(canonicalize, [], [sos_10])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_4, plain,
% 9.95/10.17 (! [X8, X9] :
% 9.95/10.17 (~ greater_equal(X8, X9) |
% 9.95/10.17 ! [X10] : greater_equal(add(X8, X10), add(X9, X10)))),
% 9.95/10.17 inference(specialize, [], [normalize_0_3])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_5, plain,
% 9.95/10.17 (! [X10, X8, X9] :
% 9.95/10.17 (~ greater_equal(X8, X9) |
% 9.95/10.17 greater_equal(add(X8, X10), add(X9, X10)))),
% 9.95/10.17 inference(clausify, [], [normalize_0_4])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_6, plain,
% 9.95/10.17 (! [X5, X6, X7] :
% 9.95/10.17 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 9.95/10.17 ~ greater_equal(add(X5, X6), X7))),
% 9.95/10.17 inference(canonicalize, [], [sos_08])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_7, plain,
% 9.95/10.17 (! [X5, X6, X7] :
% 9.95/10.17 (~ greater_equal(X6, '==>'(X5, X7)) <=>
% 9.95/10.17 ~ greater_equal(add(X5, X6), X7))),
% 9.95/10.17 inference(specialize, [], [normalize_0_6])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_8, plain,
% 9.95/10.17 (! [X5, X6, X7] :
% 9.95/10.17 ((~ greater_equal(X6, '==>'(X5, X7)) |
% 9.95/10.17 greater_equal(add(X5, X6), X7)) &
% 9.95/10.17 (~ greater_equal(add(X5, X6), X7) |
% 9.95/10.17 greater_equal(X6, '==>'(X5, X7))))),
% 9.95/10.17 inference(clausify, [], [normalize_0_7])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_9, plain,
% 9.95/10.17 (! [X5, X6, X7] :
% 9.95/10.17 (~ greater_equal(add(X5, X6), X7) |
% 9.95/10.17 greater_equal(X6, '==>'(X5, X7)))),
% 9.95/10.17 inference(conjunct, [], [normalize_0_8])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_10, plain, (! [A] : greater_equal(A, 0)),
% 9.95/10.17 inference(canonicalize, [], [sos_09])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_11, plain, (! [A] : greater_equal(A, 0)),
% 9.95/10.17 inference(specialize, [], [normalize_0_10])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_12, plain, (! [A] : h(A) = '==>'(h(A), A)),
% 9.95/10.17 inference(canonicalize, [], [sos_14])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_13, plain, (! [A] : h(A) = '==>'(h(A), A)),
% 9.95/10.17 inference(specialize, [], [normalize_0_12])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_14, plain,
% 9.95/10.17 (! [X14, X15] :
% 9.95/10.17 (~ greater_equal(X14, X15) |
% 9.95/10.17 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 9.95/10.17 inference(canonicalize, [], [sos_12])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_15, plain,
% 9.95/10.17 (! [X14, X15] :
% 9.95/10.17 (~ greater_equal(X14, X15) |
% 9.95/10.17 ! [X16] : greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 9.95/10.17 inference(specialize, [], [normalize_0_14])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_16, plain,
% 9.95/10.17 (! [X14, X15, X16] :
% 9.95/10.17 (~ greater_equal(X14, X15) |
% 9.95/10.17 greater_equal('==>'(X16, X14), '==>'(X16, X15)))),
% 9.95/10.17 inference(clausify, [], [normalize_0_15])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_17, plain, (h(skolemFOFtoCNF_X17) = skolemFOFtoCNF_X17),
% 9.95/10.17 inference(conjunct, [], [normalize_0_1])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_18, plain, (! [A] : add(A, 0) = A),
% 9.95/10.17 inference(canonicalize, [], [sos_03])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_19, plain, (! [A] : add(A, 0) = A),
% 9.95/10.17 inference(specialize, [], [normalize_0_18])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_20, plain, (! [A, B] : add(A, B) = add(B, A)),
% 9.95/10.17 inference(canonicalize, [], [sos_02])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_21, plain, (! [A, B] : add(A, B) = add(B, A)),
% 9.95/10.17 inference(specialize, [], [normalize_0_20])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_22, plain,
% 9.95/10.17 (! [A, B] : add(A, '==>'(A, B)) = add(B, '==>'(B, A))),
% 9.95/10.17 inference(canonicalize, [], [sos_13])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_23, plain,
% 9.95/10.17 (! [A, B] : add(A, '==>'(A, B)) = add(B, '==>'(B, A))),
% 9.95/10.17 inference(specialize, [], [normalize_0_22])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_24, plain,
% 9.95/10.17 (! [X3, X4] :
% 9.95/10.17 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 9.95/10.17 inference(canonicalize, [], [sos_07])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_25, plain,
% 9.95/10.17 (! [X3, X4] :
% 9.95/10.17 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4)),
% 9.95/10.17 inference(specialize, [], [normalize_0_24])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_26, plain,
% 9.95/10.17 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 9.95/10.17 inference(canonicalize, [], [sos_01])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_27, plain,
% 9.95/10.17 (! [A, B, C] : add(add(A, B), C) = add(A, add(B, C))),
% 9.95/10.17 inference(specialize, [], [normalize_0_26])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_28, plain,
% 9.95/10.17 (! [X11, X12] :
% 9.95/10.17 (~ greater_equal(X11, X12) |
% 9.95/10.17 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 9.95/10.17 inference(canonicalize, [], [sos_11])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_29, plain,
% 9.95/10.17 (! [X11, X12] :
% 9.95/10.17 (~ greater_equal(X11, X12) |
% 9.95/10.17 ! [X13] : greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 9.95/10.17 inference(specialize, [], [normalize_0_28])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_30, plain,
% 9.95/10.17 (! [X11, X12, X13] :
% 9.95/10.17 (~ greater_equal(X11, X12) |
% 9.95/10.17 greater_equal('==>'(X12, X13), '==>'(X11, X13)))),
% 9.95/10.17 inference(clausify, [], [normalize_0_29])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_31, plain, (! [A] : greater_equal(A, A)),
% 9.95/10.17 inference(canonicalize, [], [sos_05])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_32, plain, (! [A] : greater_equal(A, A)),
% 9.95/10.17 inference(specialize, [], [normalize_0_31])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_33, plain, (! [A] : add(A, 1) = 1),
% 9.95/10.17 inference(canonicalize, [], [sos_04])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_34, plain, (! [A] : add(A, 1) = 1),
% 9.95/10.17 inference(specialize, [], [normalize_0_33])).
% 9.95/10.17
% 9.95/10.17 fof(normalize_0_35, plain,
% 9.95/10.17 (! [X5, X6, X7] :
% 9.95/10.17 (~ greater_equal(X6, '==>'(X5, X7)) |
% 9.95/10.17 greater_equal(add(X5, X6), X7))),
% 9.95/10.17 inference(conjunct, [], [normalize_0_8])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_0, plain, (skolemFOFtoCNF_X17 != 0),
% 9.95/10.17 inference(canonicalize, [], [normalize_0_2])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_1, plain,
% 9.95/10.17 (~ greater_equal(X8, X9) | greater_equal(add(X8, X10), add(X9, X10))),
% 9.95/10.17 inference(canonicalize, [], [normalize_0_5])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_2, plain,
% 9.95/10.17 (~
% 9.95/10.17 greater_equal(skolemFOFtoCNF_X17,
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 9.95/10.17 greater_equal(add(skolemFOFtoCNF_X17, X10),
% 9.95/10.17 add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), X10))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_1 :
% 9.95/10.17 [bind(X8, $fot(skolemFOFtoCNF_X17)),
% 9.95/10.17 bind(X9, $fot('==>'(skolemFOFtoCNF_X17, h(h(h(0))))))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_3, plain,
% 9.95/10.17 (~ greater_equal(add(X5, X6), X7) | greater_equal(X6, '==>'(X5, X7))),
% 9.95/10.17 inference(canonicalize, [], [normalize_0_9])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_4, plain,
% 9.95/10.17 (~ greater_equal(add(X5, X6), h(h(0))) |
% 9.95/10.17 greater_equal(X6, '==>'(X5, h(h(0))))),
% 9.95/10.17 inference(subst, [], [refute_0_3 : [bind(X7, $fot(h(h(0))))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_5, plain,
% 9.95/10.17 (~ greater_equal(add(X5, X6), h(0)) |
% 9.95/10.17 greater_equal(X6, '==>'(X5, h(0)))),
% 9.95/10.17 inference(subst, [], [refute_0_3 : [bind(X7, $fot(h(0)))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_6, plain, (greater_equal(A, 0)),
% 9.95/10.17 inference(canonicalize, [], [normalize_0_11])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_7, plain, (greater_equal(add(X_442, X_443), 0)),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_6 : [bind(A, $fot(add(X_442, X_443)))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_8, plain,
% 9.95/10.17 (~ greater_equal(add(X_442, X_443), 0) |
% 9.95/10.17 greater_equal(X_443, '==>'(X_442, 0))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_3 :
% 9.95/10.17 [bind(X5, $fot(X_442)), bind(X6, $fot(X_443)),
% 9.95/10.17 bind(X7, $fot(0))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_9, plain, (greater_equal(X_443, '==>'(X_442, 0))),
% 9.95/10.17 inference(resolve, [$cnf(greater_equal(add(X_442, X_443), 0))],
% 9.95/10.17 [refute_0_7, refute_0_8])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_10, plain, (greater_equal(X_451, '==>'(h(0), 0))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_9 :
% 9.95/10.17 [bind(X_442, $fot(h(0))), bind(X_443, $fot(X_451))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_11, plain, (h(A) = '==>'(h(A), A)),
% 9.95/10.17 inference(canonicalize, [], [normalize_0_13])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_12, plain, (h(0) = '==>'(h(0), 0)),
% 9.95/10.17 inference(subst, [], [refute_0_11 : [bind(A, $fot(0))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_13, plain, (X = X), introduced(tautology, [refl, [$fot(X)]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_14, plain, (X != X | X != Y | Y = X),
% 9.95/10.17 introduced(tautology, [equality, [$cnf($equal(X, X)), [0], $fot(Y)]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_15, plain, (X != Y | Y = X),
% 9.95/10.17 inference(resolve, [$cnf($equal(X, X))], [refute_0_13, refute_0_14])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_16, plain, (h(0) != '==>'(h(0), 0) | '==>'(h(0), 0) = h(0)),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_15 :
% 9.95/10.17 [bind(X, $fot(h(0))), bind(Y, $fot('==>'(h(0), 0)))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_17, plain, ('==>'(h(0), 0) = h(0)),
% 9.95/10.17 inference(resolve, [$cnf($equal(h(0), '==>'(h(0), 0)))],
% 9.95/10.17 [refute_0_12, refute_0_16])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_18, plain,
% 9.95/10.17 ('==>'(h(0), 0) != h(0) | ~ greater_equal(X_451, '==>'(h(0), 0)) |
% 9.95/10.17 greater_equal(X_451, h(0))),
% 9.95/10.17 introduced(tautology,
% 9.95/10.17 [equality,
% 9.95/10.17 [$cnf(greater_equal(X_451, '==>'(h(0), 0))), [1],
% 9.95/10.17 $fot(h(0))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_19, plain,
% 9.95/10.17 (~ greater_equal(X_451, '==>'(h(0), 0)) | greater_equal(X_451, h(0))),
% 9.95/10.17 inference(resolve, [$cnf($equal('==>'(h(0), 0), h(0)))],
% 9.95/10.17 [refute_0_17, refute_0_18])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_20, plain, (greater_equal(X_451, h(0))),
% 9.95/10.17 inference(resolve, [$cnf(greater_equal(X_451, '==>'(h(0), 0)))],
% 9.95/10.17 [refute_0_10, refute_0_19])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_21, plain, (greater_equal(add(X5, X6), h(0))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_20 : [bind(X_451, $fot(add(X5, X6)))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_22, plain, (greater_equal(X6, '==>'(X5, h(0)))),
% 9.95/10.17 inference(resolve, [$cnf(greater_equal(add(X5, X6), h(0)))],
% 9.95/10.17 [refute_0_21, refute_0_5])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_23, plain, (greater_equal(X_575, '==>'(h(h(0)), h(0)))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_22 :
% 9.95/10.17 [bind(X5, $fot(h(h(0)))), bind(X6, $fot(X_575))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_24, plain, (h(h(0)) = '==>'(h(h(0)), h(0))),
% 9.95/10.17 inference(subst, [], [refute_0_11 : [bind(A, $fot(h(0)))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_25, plain,
% 9.95/10.17 (h(h(0)) != '==>'(h(h(0)), h(0)) | '==>'(h(h(0)), h(0)) = h(h(0))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_15 :
% 9.95/10.17 [bind(X, $fot(h(h(0)))),
% 9.95/10.17 bind(Y, $fot('==>'(h(h(0)), h(0))))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_26, plain, ('==>'(h(h(0)), h(0)) = h(h(0))),
% 9.95/10.17 inference(resolve, [$cnf($equal(h(h(0)), '==>'(h(h(0)), h(0))))],
% 9.95/10.17 [refute_0_24, refute_0_25])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_27, plain,
% 9.95/10.17 ('==>'(h(h(0)), h(0)) != h(h(0)) |
% 9.95/10.17 ~ greater_equal(X_575, '==>'(h(h(0)), h(0))) |
% 9.95/10.17 greater_equal(X_575, h(h(0)))),
% 9.95/10.17 introduced(tautology,
% 9.95/10.17 [equality,
% 9.95/10.17 [$cnf(greater_equal(X_575, '==>'(h(h(0)), h(0)))), [1],
% 9.95/10.17 $fot(h(h(0)))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_28, plain,
% 9.95/10.17 (~ greater_equal(X_575, '==>'(h(h(0)), h(0))) |
% 9.95/10.17 greater_equal(X_575, h(h(0)))),
% 9.95/10.17 inference(resolve, [$cnf($equal('==>'(h(h(0)), h(0)), h(h(0))))],
% 9.95/10.17 [refute_0_26, refute_0_27])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_29, plain, (greater_equal(X_575, h(h(0)))),
% 9.95/10.17 inference(resolve, [$cnf(greater_equal(X_575, '==>'(h(h(0)), h(0))))],
% 9.95/10.17 [refute_0_23, refute_0_28])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_30, plain, (greater_equal(add(X5, X6), h(h(0)))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_29 : [bind(X_575, $fot(add(X5, X6)))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_31, plain, (greater_equal(X6, '==>'(X5, h(h(0))))),
% 9.95/10.17 inference(resolve, [$cnf(greater_equal(add(X5, X6), h(h(0))))],
% 9.95/10.17 [refute_0_30, refute_0_4])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_32, plain, (greater_equal(X_581, '==>'(h(h(h(0))), h(h(0))))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_31 :
% 9.95/10.17 [bind(X5, $fot(h(h(h(0))))), bind(X6, $fot(X_581))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_33, plain, (h(h(h(0))) = '==>'(h(h(h(0))), h(h(0)))),
% 9.95/10.17 inference(subst, [], [refute_0_11 : [bind(A, $fot(h(h(0))))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_34, plain,
% 9.95/10.17 (h(h(h(0))) != '==>'(h(h(h(0))), h(h(0))) |
% 9.95/10.17 '==>'(h(h(h(0))), h(h(0))) = h(h(h(0)))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_15 :
% 9.95/10.17 [bind(X, $fot(h(h(h(0))))),
% 9.95/10.17 bind(Y, $fot('==>'(h(h(h(0))), h(h(0)))))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_35, plain, ('==>'(h(h(h(0))), h(h(0))) = h(h(h(0)))),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf($equal(h(h(h(0))), '==>'(h(h(h(0))), h(h(0)))))],
% 9.95/10.17 [refute_0_33, refute_0_34])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_36, plain,
% 9.95/10.17 ('==>'(h(h(h(0))), h(h(0))) != h(h(h(0))) |
% 9.95/10.17 ~ greater_equal(X_581, '==>'(h(h(h(0))), h(h(0)))) |
% 9.95/10.17 greater_equal(X_581, h(h(h(0))))),
% 9.95/10.17 introduced(tautology,
% 9.95/10.17 [equality,
% 9.95/10.17 [$cnf(greater_equal(X_581, '==>'(h(h(h(0))), h(h(0))))),
% 9.95/10.17 [1], $fot(h(h(h(0))))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_37, plain,
% 9.95/10.17 (~ greater_equal(X_581, '==>'(h(h(h(0))), h(h(0)))) |
% 9.95/10.17 greater_equal(X_581, h(h(h(0))))),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf($equal('==>'(h(h(h(0))), h(h(0))), h(h(h(0)))))],
% 9.95/10.17 [refute_0_35, refute_0_36])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_38, plain, (greater_equal(X_581, h(h(h(0))))),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf(greater_equal(X_581, '==>'(h(h(h(0))), h(h(0)))))],
% 9.95/10.17 [refute_0_32, refute_0_37])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_39, plain, (greater_equal(X_831, h(h(h(0))))),
% 9.95/10.17 inference(subst, [], [refute_0_38 : [bind(X_581, $fot(X_831))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_40, plain,
% 9.95/10.17 (~ greater_equal(X14, X15) |
% 9.95/10.17 greater_equal('==>'(X16, X14), '==>'(X16, X15))),
% 9.95/10.17 inference(canonicalize, [], [normalize_0_16])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_41, plain,
% 9.95/10.17 (~ greater_equal(X_831, h(h(h(0)))) |
% 9.95/10.17 greater_equal('==>'(X_833, X_831), '==>'(X_833, h(h(h(0)))))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_40 :
% 9.95/10.17 [bind(X14, $fot(X_831)), bind(X15, $fot(h(h(h(0))))),
% 9.95/10.17 bind(X16, $fot(X_833))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_42, plain,
% 9.95/10.17 (greater_equal('==>'(X_833, X_831), '==>'(X_833, h(h(h(0)))))),
% 9.95/10.17 inference(resolve, [$cnf(greater_equal(X_831, h(h(h(0)))))],
% 9.95/10.17 [refute_0_39, refute_0_41])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_43, plain,
% 9.95/10.17 (greater_equal('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17),
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_42 :
% 9.95/10.17 [bind(X_831, $fot(skolemFOFtoCNF_X17)),
% 9.95/10.17 bind(X_833, $fot(skolemFOFtoCNF_X17))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_44, plain,
% 9.95/10.17 (h(skolemFOFtoCNF_X17) =
% 9.95/10.17 '==>'(h(skolemFOFtoCNF_X17), skolemFOFtoCNF_X17)),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_11 : [bind(A, $fot(skolemFOFtoCNF_X17))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_45, plain, (h(skolemFOFtoCNF_X17) = skolemFOFtoCNF_X17),
% 9.95/10.17 inference(canonicalize, [], [normalize_0_17])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_46, plain,
% 9.95/10.17 (h(skolemFOFtoCNF_X17) !=
% 9.95/10.17 '==>'(h(skolemFOFtoCNF_X17), skolemFOFtoCNF_X17) |
% 9.95/10.17 h(skolemFOFtoCNF_X17) != skolemFOFtoCNF_X17 |
% 9.95/10.17 h(skolemFOFtoCNF_X17) =
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)),
% 9.95/10.17 introduced(tautology,
% 9.95/10.17 [equality,
% 9.95/10.17 [$cnf($equal(h(skolemFOFtoCNF_X17),
% 9.95/10.17 '==>'(h(skolemFOFtoCNF_X17), skolemFOFtoCNF_X17))),
% 9.95/10.17 [1, 0], $fot(skolemFOFtoCNF_X17)]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_47, plain,
% 9.95/10.17 (h(skolemFOFtoCNF_X17) !=
% 9.95/10.17 '==>'(h(skolemFOFtoCNF_X17), skolemFOFtoCNF_X17) |
% 9.95/10.17 h(skolemFOFtoCNF_X17) =
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf($equal(h(skolemFOFtoCNF_X17), skolemFOFtoCNF_X17))],
% 9.95/10.17 [refute_0_45, refute_0_46])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_48, plain,
% 9.95/10.17 (h(skolemFOFtoCNF_X17) =
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf($equal(h(skolemFOFtoCNF_X17),
% 9.95/10.17 '==>'(h(skolemFOFtoCNF_X17), skolemFOFtoCNF_X17)))],
% 9.95/10.17 [refute_0_44, refute_0_47])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_49, plain,
% 9.95/10.17 (h(skolemFOFtoCNF_X17) !=
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) |
% 9.95/10.17 h(skolemFOFtoCNF_X17) != skolemFOFtoCNF_X17 |
% 9.95/10.17 skolemFOFtoCNF_X17 = '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)),
% 9.95/10.17 introduced(tautology,
% 9.95/10.17 [equality,
% 9.95/10.17 [$cnf($equal(h(skolemFOFtoCNF_X17),
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17))),
% 9.95/10.17 [0], $fot(skolemFOFtoCNF_X17)]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_50, plain,
% 9.95/10.17 (h(skolemFOFtoCNF_X17) !=
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) |
% 9.95/10.17 skolemFOFtoCNF_X17 = '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf($equal(h(skolemFOFtoCNF_X17), skolemFOFtoCNF_X17))],
% 9.95/10.17 [refute_0_45, refute_0_49])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_51, plain,
% 9.95/10.17 (skolemFOFtoCNF_X17 = '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf($equal(h(skolemFOFtoCNF_X17),
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)))],
% 9.95/10.17 [refute_0_48, refute_0_50])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_52, plain,
% 9.95/10.17 (skolemFOFtoCNF_X17 != '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) |
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) = skolemFOFtoCNF_X17),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_15 :
% 9.95/10.17 [bind(X, $fot(skolemFOFtoCNF_X17)),
% 9.95/10.17 bind(Y,
% 9.95/10.17 $fot('==>'(skolemFOFtoCNF_X17,
% 9.95/10.17 skolemFOFtoCNF_X17)))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_53, plain,
% 9.95/10.17 ('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) = skolemFOFtoCNF_X17),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf($equal(skolemFOFtoCNF_X17,
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)))],
% 9.95/10.17 [refute_0_51, refute_0_52])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_54, plain,
% 9.95/10.17 ('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) != skolemFOFtoCNF_X17 |
% 9.95/10.17 ~
% 9.95/10.17 greater_equal('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17),
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 9.95/10.17 greater_equal(skolemFOFtoCNF_X17,
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 9.95/10.17 introduced(tautology,
% 9.95/10.17 [equality,
% 9.95/10.17 [$cnf(greater_equal('==>'(skolemFOFtoCNF_X17,
% 9.95/10.17 skolemFOFtoCNF_X17),
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))), [0],
% 9.95/10.17 $fot(skolemFOFtoCNF_X17)]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_55, plain,
% 9.95/10.17 (~
% 9.95/10.17 greater_equal('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17),
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 9.95/10.17 greater_equal(skolemFOFtoCNF_X17,
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf($equal('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17),
% 9.95/10.17 skolemFOFtoCNF_X17))], [refute_0_53, refute_0_54])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_56, plain,
% 9.95/10.17 (greater_equal(skolemFOFtoCNF_X17,
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf(greater_equal('==>'(skolemFOFtoCNF_X17,
% 9.95/10.17 skolemFOFtoCNF_X17),
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))],
% 9.95/10.17 [refute_0_43, refute_0_55])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_57, plain,
% 9.95/10.17 (greater_equal(add(skolemFOFtoCNF_X17, X10),
% 9.95/10.17 add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), X10))),
% 9.95/10.17 inference(resolve,
% 9.95/10.17 [$cnf(greater_equal(skolemFOFtoCNF_X17,
% 9.95/10.17 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))],
% 9.95/10.17 [refute_0_56, refute_0_2])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_58, plain,
% 9.95/10.17 (greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.17 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.17 add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.17 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)))),
% 9.95/10.17 inference(subst, [],
% 9.95/10.17 [refute_0_57 :
% 9.95/10.17 [bind(X10,
% 9.95/10.17 $fot('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.17 0)))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_59, plain, (add(A, 0) = A),
% 9.95/10.17 inference(canonicalize, [], [normalize_0_19])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_60, plain, (add(A, B) = add(B, A)),
% 9.95/10.17 inference(canonicalize, [], [normalize_0_21])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_61, plain, (add(A, 0) = add(0, A)),
% 9.95/10.17 inference(subst, [], [refute_0_60 : [bind(B, $fot(0))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_62, plain,
% 9.95/10.17 (add(A, 0) != A | add(A, 0) != add(0, A) | add(0, A) = A),
% 9.95/10.17 introduced(tautology,
% 9.95/10.17 [equality,
% 9.95/10.17 [$cnf($equal(add(A, 0), A)), [0], $fot(add(0, A))]])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_63, plain, (add(A, 0) != A | add(0, A) = A),
% 9.95/10.17 inference(resolve, [$cnf($equal(add(A, 0), add(0, A)))],
% 9.95/10.17 [refute_0_61, refute_0_62])).
% 9.95/10.17
% 9.95/10.17 cnf(refute_0_64, plain, (add(0, A) = A),
% 9.95/10.17 inference(resolve, [$cnf($equal(add(A, 0), A))],
% 9.95/10.17 [refute_0_59, refute_0_63])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_65, plain, (add(0, '==>'(0, X_10)) = '==>'(0, X_10)),
% 9.95/10.18 inference(subst, [], [refute_0_64 : [bind(A, $fot('==>'(0, X_10)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_66, plain, (add(A, '==>'(A, B)) = add(B, '==>'(B, A))),
% 9.95/10.18 inference(canonicalize, [], [normalize_0_23])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_67, plain,
% 9.95/10.18 (add(0, '==>'(0, X_10)) = add(X_10, '==>'(X_10, 0))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_66 : [bind(A, $fot(0)), bind(B, $fot(X_10))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_68, plain,
% 9.95/10.18 (add(0, '==>'(0, X_10)) != add(X_10, '==>'(X_10, 0)) |
% 9.95/10.18 add(0, '==>'(0, X_10)) != '==>'(0, X_10) |
% 9.95/10.18 add(X_10, '==>'(X_10, 0)) = '==>'(0, X_10)),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf($equal(add(0, '==>'(0, X_10)), '==>'(0, X_10))), [0],
% 9.95/10.18 $fot(add(X_10, '==>'(X_10, 0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_69, plain,
% 9.95/10.18 (add(0, '==>'(0, X_10)) != '==>'(0, X_10) |
% 9.95/10.18 add(X_10, '==>'(X_10, 0)) = '==>'(0, X_10)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(0, '==>'(0, X_10)),
% 9.95/10.18 add(X_10, '==>'(X_10, 0))))],
% 9.95/10.18 [refute_0_67, refute_0_68])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_70, plain, (add(X_10, '==>'(X_10, 0)) = '==>'(0, X_10)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(0, '==>'(0, X_10)), '==>'(0, X_10)))],
% 9.95/10.18 [refute_0_65, refute_0_69])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_71, plain,
% 9.95/10.18 (add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_70 :
% 9.95/10.18 [bind(X_10,
% 9.95/10.18 $fot('==>'(skolemFOFtoCNF_X17, h(h(h(0))))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_72, plain,
% 9.95/10.18 (add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) !=
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 9.95/10.18 ~
% 9.95/10.18 greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))) |
% 9.95/10.18 greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 0)))), [1],
% 9.95/10.18 $fot('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_73, plain,
% 9.95/10.18 (~
% 9.95/10.18 greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))) |
% 9.95/10.18 greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))],
% 9.95/10.18 [refute_0_71, refute_0_72])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_74, plain,
% 9.95/10.18 (greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 add('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 0))))], [refute_0_58, refute_0_73])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_75, plain,
% 9.95/10.18 (~ greater_equal(X3, X4) | ~ greater_equal(X4, X3) | X3 = X4),
% 9.95/10.18 inference(canonicalize, [], [normalize_0_25])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_76, plain,
% 9.95/10.18 (~
% 9.95/10.18 greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))) |
% 9.95/10.18 ~
% 9.95/10.18 greater_equal('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 9.95/10.18 add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))) |
% 9.95/10.18 add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_75 :
% 9.95/10.18 [bind(X3,
% 9.95/10.18 $fot(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 0)))),
% 9.95/10.18 bind(X4,
% 9.95/10.18 $fot('==>'(0,
% 9.95/10.18 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_77, plain,
% 9.95/10.18 (~
% 9.95/10.18 greater_equal('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 9.95/10.18 add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))) |
% 9.95/10.18 add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))],
% 9.95/10.18 [refute_0_74, refute_0_76])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_78, plain,
% 9.95/10.18 (~ greater_equal(X_455, skolemFOFtoCNF_X17) |
% 9.95/10.18 greater_equal(add(X_455, X10), add(skolemFOFtoCNF_X17, X10))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_1 :
% 9.95/10.18 [bind(X8, $fot(X_455)),
% 9.95/10.18 bind(X9, $fot(skolemFOFtoCNF_X17))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_79, plain, (greater_equal(X_160, 0)),
% 9.95/10.18 inference(subst, [], [refute_0_6 : [bind(A, $fot(X_160))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_80, plain,
% 9.95/10.18 (~ greater_equal(X_160, 0) |
% 9.95/10.18 greater_equal(add(X_160, X_159), add(0, X_159))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_1 :
% 9.95/10.18 [bind(X10, $fot(X_159)), bind(X8, $fot(X_160)),
% 9.95/10.18 bind(X9, $fot(0))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_81, plain, (greater_equal(add(X_160, X_159), add(0, X_159))),
% 9.95/10.18 inference(resolve, [$cnf(greater_equal(X_160, 0))],
% 9.95/10.18 [refute_0_79, refute_0_80])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_82, plain, (add(0, X_159) = X_159),
% 9.95/10.18 inference(subst, [], [refute_0_64 : [bind(A, $fot(X_159))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_83, plain,
% 9.95/10.18 (add(0, X_159) != X_159 |
% 9.95/10.18 ~ greater_equal(add(X_160, X_159), add(0, X_159)) |
% 9.95/10.18 greater_equal(add(X_160, X_159), X_159)),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(X_160, X_159), add(0, X_159))),
% 9.95/10.18 [1], $fot(X_159)]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_84, plain,
% 9.95/10.18 (~ greater_equal(add(X_160, X_159), add(0, X_159)) |
% 9.95/10.18 greater_equal(add(X_160, X_159), X_159)),
% 9.95/10.18 inference(resolve, [$cnf($equal(add(0, X_159), X_159))],
% 9.95/10.18 [refute_0_82, refute_0_83])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_85, plain, (greater_equal(add(X_160, X_159), X_159)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(X_160, X_159), add(0, X_159)))],
% 9.95/10.18 [refute_0_81, refute_0_84])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_86, plain, (greater_equal(add(X_163, X_162), X_162)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_85 :
% 9.95/10.18 [bind(X_159, $fot(X_162)), bind(X_160, $fot(X_163))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_87, plain, (add(X_162, X_163) = add(X_163, X_162)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_60 :
% 9.95/10.18 [bind(A, $fot(X_162)), bind(B, $fot(X_163))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_88, plain,
% 9.95/10.18 (add(X_162, X_163) != add(X_163, X_162) |
% 9.95/10.18 add(X_163, X_162) = add(X_162, X_163)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_15 :
% 9.95/10.18 [bind(X, $fot(add(X_162, X_163))),
% 9.95/10.18 bind(Y, $fot(add(X_163, X_162)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_89, plain, (add(X_163, X_162) = add(X_162, X_163)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(X_162, X_163), add(X_163, X_162)))],
% 9.95/10.18 [refute_0_87, refute_0_88])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_90, plain,
% 9.95/10.18 (add(X_163, X_162) != add(X_162, X_163) |
% 9.95/10.18 ~ greater_equal(add(X_163, X_162), X_162) |
% 9.95/10.18 greater_equal(add(X_162, X_163), X_162)),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(X_163, X_162), X_162)), [0],
% 9.95/10.18 $fot(add(X_162, X_163))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_91, plain,
% 9.95/10.18 (~ greater_equal(add(X_163, X_162), X_162) |
% 9.95/10.18 greater_equal(add(X_162, X_163), X_162)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(X_163, X_162), add(X_162, X_163)))],
% 9.95/10.18 [refute_0_89, refute_0_90])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_92, plain, (greater_equal(add(X_162, X_163), X_162)),
% 9.95/10.18 inference(resolve, [$cnf(greater_equal(add(X_163, X_162), X_162))],
% 9.95/10.18 [refute_0_86, refute_0_91])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_93, plain, (greater_equal(add(X_444, X_443), X_444)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_92 :
% 9.95/10.18 [bind(X_162, $fot(X_444)), bind(X_163, $fot(X_443))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_94, plain,
% 9.95/10.18 (~ greater_equal(add(X_444, X_443), X_444) |
% 9.95/10.18 greater_equal(X_443, '==>'(X_444, X_444))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_3 :
% 9.95/10.18 [bind(X5, $fot(X_444)), bind(X6, $fot(X_443)),
% 9.95/10.18 bind(X7, $fot(X_444))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_95, plain, (greater_equal(X_443, '==>'(X_444, X_444))),
% 9.95/10.18 inference(resolve, [$cnf(greater_equal(add(X_444, X_443), X_444))],
% 9.95/10.18 [refute_0_93, refute_0_94])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_96, plain,
% 9.95/10.18 (greater_equal(X_453, '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_95 :
% 9.95/10.18 [bind(X_443, $fot(X_453)),
% 9.95/10.18 bind(X_444, $fot(skolemFOFtoCNF_X17))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_97, plain,
% 9.95/10.18 ('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17) != skolemFOFtoCNF_X17 |
% 9.95/10.18 ~
% 9.95/10.18 greater_equal(X_453,
% 9.95/10.18 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)) |
% 9.95/10.18 greater_equal(X_453, skolemFOFtoCNF_X17)),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(X_453,
% 9.95/10.18 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17))),
% 9.95/10.18 [1], $fot(skolemFOFtoCNF_X17)]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_98, plain,
% 9.95/10.18 (~
% 9.95/10.18 greater_equal(X_453,
% 9.95/10.18 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)) |
% 9.95/10.18 greater_equal(X_453, skolemFOFtoCNF_X17)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal('==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17),
% 9.95/10.18 skolemFOFtoCNF_X17))], [refute_0_53, refute_0_97])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_99, plain, (greater_equal(X_453, skolemFOFtoCNF_X17)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(X_453,
% 9.95/10.18 '==>'(skolemFOFtoCNF_X17, skolemFOFtoCNF_X17)))],
% 9.95/10.18 [refute_0_96, refute_0_98])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_100, plain, (greater_equal(X_455, skolemFOFtoCNF_X17)),
% 9.95/10.18 inference(subst, [], [refute_0_99 : [bind(X_453, $fot(X_455))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_101, plain,
% 9.95/10.18 (greater_equal(add(X_455, X10), add(skolemFOFtoCNF_X17, X10))),
% 9.95/10.18 inference(resolve, [$cnf(greater_equal(X_455, skolemFOFtoCNF_X17))],
% 9.95/10.18 [refute_0_100, refute_0_78])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_102, plain,
% 9.95/10.18 (greater_equal(add(X_459, '==>'(X_459, 0)),
% 9.95/10.18 add(skolemFOFtoCNF_X17, '==>'(X_459, 0)))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_101 :
% 9.95/10.18 [bind(X10, $fot('==>'(X_459, 0))),
% 9.95/10.18 bind(X_455, $fot(X_459))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_103, plain, (add(X_459, '==>'(X_459, 0)) = '==>'(0, X_459)),
% 9.95/10.18 inference(subst, [], [refute_0_70 : [bind(X_10, $fot(X_459))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_104, plain,
% 9.95/10.18 (add(X_459, '==>'(X_459, 0)) != '==>'(0, X_459) |
% 9.95/10.18 ~
% 9.95/10.18 greater_equal(add(X_459, '==>'(X_459, 0)),
% 9.95/10.18 add(skolemFOFtoCNF_X17, '==>'(X_459, 0))) |
% 9.95/10.18 greater_equal('==>'(0, X_459),
% 9.95/10.18 add(skolemFOFtoCNF_X17, '==>'(X_459, 0)))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(X_459, '==>'(X_459, 0)),
% 9.95/10.18 add(skolemFOFtoCNF_X17, '==>'(X_459, 0)))), [0],
% 9.95/10.18 $fot('==>'(0, X_459))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_105, plain,
% 9.95/10.18 (~
% 9.95/10.18 greater_equal(add(X_459, '==>'(X_459, 0)),
% 9.95/10.18 add(skolemFOFtoCNF_X17, '==>'(X_459, 0))) |
% 9.95/10.18 greater_equal('==>'(0, X_459),
% 9.95/10.18 add(skolemFOFtoCNF_X17, '==>'(X_459, 0)))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(X_459, '==>'(X_459, 0)), '==>'(0, X_459)))],
% 9.95/10.18 [refute_0_103, refute_0_104])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_106, plain,
% 9.95/10.18 (greater_equal('==>'(0, X_459),
% 9.95/10.18 add(skolemFOFtoCNF_X17, '==>'(X_459, 0)))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(X_459, '==>'(X_459, 0)),
% 9.95/10.18 add(skolemFOFtoCNF_X17, '==>'(X_459, 0))))],
% 9.95/10.18 [refute_0_102, refute_0_105])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_107, plain,
% 9.95/10.18 (greater_equal('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 9.95/10.18 add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_106 :
% 9.95/10.18 [bind(X_459,
% 9.95/10.18 $fot('==>'(skolemFOFtoCNF_X17, h(h(h(0))))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_108, plain,
% 9.95/10.18 (add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 9.95/10.18 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal('==>'(0,
% 9.95/10.18 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 9.95/10.18 add(skolemFOFtoCNF_X17,
% 9.95/10.18 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 9.95/10.18 0))))], [refute_0_107, refute_0_77])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_109, plain, (add(skolemFOFtoCNF_X17, 0) = skolemFOFtoCNF_X17),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_59 : [bind(A, $fot(skolemFOFtoCNF_X17))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_110, plain,
% 9.95/10.18 (~ greater_equal(add(h(0), '==>'(0, 0)), '==>'(0, h(0))) |
% 9.95/10.18 greater_equal('==>'(0, 0), '==>'(h(0), '==>'(0, h(0))))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_3 :
% 9.95/10.18 [bind(X5, $fot(h(0))), bind(X6, $fot('==>'(0, 0))),
% 9.95/10.18 bind(X7, $fot('==>'(0, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_111, plain,
% 9.95/10.18 (~ greater_equal('==>'(0, X_479), h(X_479)) |
% 9.95/10.18 greater_equal(add('==>'(0, X_479), X10), add(h(X_479), X10))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_1 :
% 9.95/10.18 [bind(X8, $fot('==>'(0, X_479))),
% 9.95/10.18 bind(X9, $fot(h(X_479)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_112, plain,
% 9.95/10.18 (greater_equal(add(X_165, add('==>'(X_165, 0), X_16)), X_165)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_92 :
% 9.95/10.18 [bind(X_162, $fot(X_165)),
% 9.95/10.18 bind(X_163, $fot(add('==>'(X_165, 0), X_16)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_113, plain, (add(add(A, B), C) = add(A, add(B, C))),
% 9.95/10.18 inference(canonicalize, [], [normalize_0_27])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_114, plain,
% 9.95/10.18 (add(add(X_14, '==>'(X_14, 0)), X_16) =
% 9.95/10.18 add(X_14, add('==>'(X_14, 0), X_16))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_113 :
% 9.95/10.18 [bind(A, $fot(X_14)), bind(B, $fot('==>'(X_14, 0))),
% 9.95/10.18 bind(C, $fot(X_16))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_115, plain, (add(X_14, '==>'(X_14, 0)) = '==>'(0, X_14)),
% 9.95/10.18 inference(subst, [], [refute_0_70 : [bind(X_10, $fot(X_14))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_116, plain,
% 9.95/10.18 (add(X_14, '==>'(X_14, 0)) != '==>'(0, X_14) |
% 9.95/10.18 add(add(X_14, '==>'(X_14, 0)), X_16) !=
% 9.95/10.18 add(X_14, add('==>'(X_14, 0), X_16)) |
% 9.95/10.18 add('==>'(0, X_14), X_16) = add(X_14, add('==>'(X_14, 0), X_16))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf($equal(add(add(X_14, '==>'(X_14, 0)), X_16),
% 9.95/10.18 add(X_14, add('==>'(X_14, 0), X_16)))), [0, 0],
% 9.95/10.18 $fot('==>'(0, X_14))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_117, plain,
% 9.95/10.18 (add(add(X_14, '==>'(X_14, 0)), X_16) !=
% 9.95/10.18 add(X_14, add('==>'(X_14, 0), X_16)) |
% 9.95/10.18 add('==>'(0, X_14), X_16) = add(X_14, add('==>'(X_14, 0), X_16))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(X_14, '==>'(X_14, 0)), '==>'(0, X_14)))],
% 9.95/10.18 [refute_0_115, refute_0_116])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_118, plain,
% 9.95/10.18 (add('==>'(0, X_14), X_16) = add(X_14, add('==>'(X_14, 0), X_16))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(add(X_14, '==>'(X_14, 0)), X_16),
% 9.95/10.18 add(X_14, add('==>'(X_14, 0), X_16))))],
% 9.95/10.18 [refute_0_114, refute_0_117])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_119, plain,
% 9.95/10.18 (add('==>'(0, X_165), X_16) = add(X_165, add('==>'(X_165, 0), X_16))),
% 9.95/10.18 inference(subst, [], [refute_0_118 : [bind(X_14, $fot(X_165))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_120, plain,
% 9.95/10.18 (add('==>'(0, X_165), X_16) != add(X_165, add('==>'(X_165, 0), X_16)) |
% 9.95/10.18 add(X_165, add('==>'(X_165, 0), X_16)) = add('==>'(0, X_165), X_16)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_15 :
% 9.95/10.18 [bind(X, $fot(add('==>'(0, X_165), X_16))),
% 9.95/10.18 bind(Y, $fot(add(X_165, add('==>'(X_165, 0), X_16))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_121, plain,
% 9.95/10.18 (add(X_165, add('==>'(X_165, 0), X_16)) = add('==>'(0, X_165), X_16)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add('==>'(0, X_165), X_16),
% 9.95/10.18 add(X_165, add('==>'(X_165, 0), X_16))))],
% 9.95/10.18 [refute_0_119, refute_0_120])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_122, plain,
% 9.95/10.18 (add(X_165, add('==>'(X_165, 0), X_16)) != add('==>'(0, X_165), X_16) |
% 9.95/10.18 ~ greater_equal(add(X_165, add('==>'(X_165, 0), X_16)), X_165) |
% 9.95/10.18 greater_equal(add('==>'(0, X_165), X_16), X_165)),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(X_165, add('==>'(X_165, 0), X_16)),
% 9.95/10.18 X_165)), [0], $fot(add('==>'(0, X_165), X_16))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_123, plain,
% 9.95/10.18 (~ greater_equal(add(X_165, add('==>'(X_165, 0), X_16)), X_165) |
% 9.95/10.18 greater_equal(add('==>'(0, X_165), X_16), X_165)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(X_165, add('==>'(X_165, 0), X_16)),
% 9.95/10.18 add('==>'(0, X_165), X_16)))],
% 9.95/10.18 [refute_0_121, refute_0_122])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_124, plain,
% 9.95/10.18 (greater_equal(add('==>'(0, X_165), X_16), X_165)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(X_165, add('==>'(X_165, 0), X_16)),
% 9.95/10.18 X_165))], [refute_0_112, refute_0_123])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_125, plain,
% 9.95/10.18 (greater_equal(add('==>'(0, X_180), X_179), X_180)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_124 :
% 9.95/10.18 [bind(X_16, $fot(X_179)), bind(X_165, $fot(X_180))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_126, plain,
% 9.95/10.18 (add(X_179, '==>'(0, X_180)) = add('==>'(0, X_180), X_179)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_60 :
% 9.95/10.18 [bind(A, $fot(X_179)), bind(B, $fot('==>'(0, X_180)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_127, plain,
% 9.95/10.18 (add(X_179, '==>'(0, X_180)) != add('==>'(0, X_180), X_179) |
% 9.95/10.18 add('==>'(0, X_180), X_179) = add(X_179, '==>'(0, X_180))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_15 :
% 9.95/10.18 [bind(X, $fot(add(X_179, '==>'(0, X_180)))),
% 9.95/10.18 bind(Y, $fot(add('==>'(0, X_180), X_179)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_128, plain,
% 9.95/10.18 (add('==>'(0, X_180), X_179) = add(X_179, '==>'(0, X_180))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(X_179, '==>'(0, X_180)),
% 9.95/10.18 add('==>'(0, X_180), X_179)))],
% 9.95/10.18 [refute_0_126, refute_0_127])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_129, plain,
% 9.95/10.18 (add('==>'(0, X_180), X_179) != add(X_179, '==>'(0, X_180)) |
% 9.95/10.18 ~ greater_equal(add('==>'(0, X_180), X_179), X_180) |
% 9.95/10.18 greater_equal(add(X_179, '==>'(0, X_180)), X_180)),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add('==>'(0, X_180), X_179), X_180)),
% 9.95/10.18 [0], $fot(add(X_179, '==>'(0, X_180)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_130, plain,
% 9.95/10.18 (~ greater_equal(add('==>'(0, X_180), X_179), X_180) |
% 9.95/10.18 greater_equal(add(X_179, '==>'(0, X_180)), X_180)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add('==>'(0, X_180), X_179),
% 9.95/10.18 add(X_179, '==>'(0, X_180))))],
% 9.95/10.18 [refute_0_128, refute_0_129])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_131, plain,
% 9.95/10.18 (greater_equal(add(X_179, '==>'(0, X_180)), X_180)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add('==>'(0, X_180), X_179), X_180))],
% 9.95/10.18 [refute_0_125, refute_0_130])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_132, plain,
% 9.95/10.18 (greater_equal(add(X_442, '==>'(0, X_444)), X_444)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_131 :
% 9.95/10.18 [bind(X_179, $fot(X_442)), bind(X_180, $fot(X_444))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_133, plain,
% 9.95/10.18 (~ greater_equal(add(X_442, '==>'(0, X_444)), X_444) |
% 9.95/10.18 greater_equal('==>'(0, X_444), '==>'(X_442, X_444))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_3 :
% 9.95/10.18 [bind(X5, $fot(X_442)), bind(X6, $fot('==>'(0, X_444))),
% 9.95/10.18 bind(X7, $fot(X_444))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_134, plain,
% 9.95/10.18 (greater_equal('==>'(0, X_444), '==>'(X_442, X_444))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(X_442, '==>'(0, X_444)), X_444))],
% 9.95/10.18 [refute_0_132, refute_0_133])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_135, plain,
% 9.95/10.18 (greater_equal('==>'(0, X_478), '==>'(h(X_478), X_478))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_134 :
% 9.95/10.18 [bind(X_442, $fot(h(X_478))), bind(X_444, $fot(X_478))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_136, plain, (h(X_478) = '==>'(h(X_478), X_478)),
% 9.95/10.18 inference(subst, [], [refute_0_11 : [bind(A, $fot(X_478))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_137, plain,
% 9.95/10.18 (h(X_478) != '==>'(h(X_478), X_478) |
% 9.95/10.18 '==>'(h(X_478), X_478) = h(X_478)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_15 :
% 9.95/10.18 [bind(X, $fot(h(X_478))),
% 9.95/10.18 bind(Y, $fot('==>'(h(X_478), X_478)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_138, plain, ('==>'(h(X_478), X_478) = h(X_478)),
% 9.95/10.18 inference(resolve, [$cnf($equal(h(X_478), '==>'(h(X_478), X_478)))],
% 9.95/10.18 [refute_0_136, refute_0_137])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_139, plain,
% 9.95/10.18 ('==>'(h(X_478), X_478) != h(X_478) |
% 9.95/10.18 ~ greater_equal('==>'(0, X_478), '==>'(h(X_478), X_478)) |
% 9.95/10.18 greater_equal('==>'(0, X_478), h(X_478))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal('==>'(0, X_478),
% 9.95/10.18 '==>'(h(X_478), X_478))), [1], $fot(h(X_478))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_140, plain,
% 9.95/10.18 (~ greater_equal('==>'(0, X_478), '==>'(h(X_478), X_478)) |
% 9.95/10.18 greater_equal('==>'(0, X_478), h(X_478))),
% 9.95/10.18 inference(resolve, [$cnf($equal('==>'(h(X_478), X_478), h(X_478)))],
% 9.95/10.18 [refute_0_138, refute_0_139])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_141, plain, (greater_equal('==>'(0, X_478), h(X_478))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal('==>'(0, X_478),
% 9.95/10.18 '==>'(h(X_478), X_478)))],
% 9.95/10.18 [refute_0_135, refute_0_140])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_142, plain, (greater_equal('==>'(0, X_479), h(X_479))),
% 9.95/10.18 inference(subst, [], [refute_0_141 : [bind(X_478, $fot(X_479))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_143, plain,
% 9.95/10.18 (greater_equal(add('==>'(0, X_479), X10), add(h(X_479), X10))),
% 9.95/10.18 inference(resolve, [$cnf(greater_equal('==>'(0, X_479), h(X_479)))],
% 9.95/10.18 [refute_0_142, refute_0_111])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_144, plain,
% 9.95/10.18 (greater_equal(add('==>'(0, 0), h(0)), add(h(0), h(0)))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_143 :
% 9.95/10.18 [bind(X10, $fot(h(0))), bind(X_479, $fot(0))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_145, plain, (add(h(0), '==>'(h(0), 0)) = '==>'(0, h(0))),
% 9.95/10.18 inference(subst, [], [refute_0_70 : [bind(X_10, $fot(h(0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_146, plain,
% 9.95/10.18 (add(h(0), '==>'(h(0), 0)) != '==>'(0, h(0)) | '==>'(h(0), 0) != h(0) |
% 9.95/10.18 add(h(0), h(0)) = '==>'(0, h(0))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf($equal(add(h(0), '==>'(h(0), 0)), '==>'(0, h(0)))),
% 9.95/10.18 [0, 1], $fot(h(0))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_147, plain,
% 9.95/10.18 (add(h(0), '==>'(h(0), 0)) != '==>'(0, h(0)) |
% 9.95/10.18 add(h(0), h(0)) = '==>'(0, h(0))),
% 9.95/10.18 inference(resolve, [$cnf($equal('==>'(h(0), 0), h(0)))],
% 9.95/10.18 [refute_0_17, refute_0_146])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_148, plain, (add(h(0), h(0)) = '==>'(0, h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(h(0), '==>'(h(0), 0)), '==>'(0, h(0))))],
% 9.95/10.18 [refute_0_145, refute_0_147])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_149, plain,
% 9.95/10.18 (add(h(0), h(0)) != '==>'(0, h(0)) |
% 9.95/10.18 ~ greater_equal(add('==>'(0, 0), h(0)), add(h(0), h(0))) |
% 9.95/10.18 greater_equal(add('==>'(0, 0), h(0)), '==>'(0, h(0)))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add('==>'(0, 0), h(0)),
% 9.95/10.18 add(h(0), h(0)))), [1], $fot('==>'(0, h(0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_150, plain,
% 9.95/10.18 (~ greater_equal(add('==>'(0, 0), h(0)), add(h(0), h(0))) |
% 9.95/10.18 greater_equal(add('==>'(0, 0), h(0)), '==>'(0, h(0)))),
% 9.95/10.18 inference(resolve, [$cnf($equal(add(h(0), h(0)), '==>'(0, h(0))))],
% 9.95/10.18 [refute_0_148, refute_0_149])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_151, plain,
% 9.95/10.18 (greater_equal(add('==>'(0, 0), h(0)), '==>'(0, h(0)))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add('==>'(0, 0), h(0)),
% 9.95/10.18 add(h(0), h(0))))], [refute_0_144, refute_0_150])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_152, plain, (add(A, B) != add(B, A) | add(B, A) = add(A, B)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_15 :
% 9.95/10.18 [bind(X, $fot(add(A, B))), bind(Y, $fot(add(B, A)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_153, plain, (add(B, A) = add(A, B)),
% 9.95/10.18 inference(resolve, [$cnf($equal(add(A, B), add(B, A)))],
% 9.95/10.18 [refute_0_60, refute_0_152])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_154, plain, (add('==>'(0, 0), h(0)) = add(h(0), '==>'(0, 0))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_153 :
% 9.95/10.18 [bind(A, $fot(h(0))), bind(B, $fot('==>'(0, 0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_155, plain,
% 9.95/10.18 (add('==>'(0, 0), h(0)) != add(h(0), '==>'(0, 0)) |
% 9.95/10.18 ~ greater_equal(add('==>'(0, 0), h(0)), '==>'(0, h(0))) |
% 9.95/10.18 greater_equal(add(h(0), '==>'(0, 0)), '==>'(0, h(0)))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add('==>'(0, 0), h(0)),
% 9.95/10.18 '==>'(0, h(0)))), [0],
% 9.95/10.18 $fot(add(h(0), '==>'(0, 0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_156, plain,
% 9.95/10.18 (~ greater_equal(add('==>'(0, 0), h(0)), '==>'(0, h(0))) |
% 9.95/10.18 greater_equal(add(h(0), '==>'(0, 0)), '==>'(0, h(0)))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add('==>'(0, 0), h(0)),
% 9.95/10.18 add(h(0), '==>'(0, 0))))],
% 9.95/10.18 [refute_0_154, refute_0_155])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_157, plain,
% 9.95/10.18 (greater_equal(add(h(0), '==>'(0, 0)), '==>'(0, h(0)))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add('==>'(0, 0), h(0)),
% 9.95/10.18 '==>'(0, h(0))))], [refute_0_151, refute_0_156])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_158, plain,
% 9.95/10.18 (greater_equal('==>'(0, 0), '==>'(h(0), '==>'(0, h(0))))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(h(0), '==>'(0, 0)),
% 9.95/10.18 '==>'(0, h(0))))], [refute_0_157, refute_0_110])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_159, plain,
% 9.95/10.18 (~ greater_equal(X11, X12) |
% 9.95/10.18 greater_equal('==>'(X12, X13), '==>'(X11, X13))),
% 9.95/10.18 inference(canonicalize, [], [normalize_0_30])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_160, plain,
% 9.95/10.18 (~ greater_equal('==>'(0, 0), '==>'(h(0), '==>'(0, h(0)))) |
% 9.95/10.18 greater_equal('==>'('==>'(h(0), '==>'(0, h(0))), X_691),
% 9.95/10.18 '==>'('==>'(0, 0), X_691))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_159 :
% 9.95/10.18 [bind(X11, $fot('==>'(0, 0))),
% 9.95/10.18 bind(X12, $fot('==>'(h(0), '==>'(0, h(0))))),
% 9.95/10.18 bind(X13, $fot(X_691))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_161, plain,
% 9.95/10.18 (greater_equal('==>'('==>'(h(0), '==>'(0, h(0))), X_691),
% 9.95/10.18 '==>'('==>'(0, 0), X_691))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal('==>'(0, 0),
% 9.95/10.18 '==>'(h(0), '==>'(0, h(0)))))],
% 9.95/10.18 [refute_0_158, refute_0_160])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_162, plain,
% 9.95/10.18 (~
% 9.95/10.18 greater_equal('==>'('==>'(0, 0), X_691),
% 9.95/10.18 '==>'('==>'(h(0), '==>'(0, h(0))), X_691)) |
% 9.95/10.18 ~
% 9.95/10.18 greater_equal('==>'('==>'(h(0), '==>'(0, h(0))), X_691),
% 9.95/10.18 '==>'('==>'(0, 0), X_691)) |
% 9.95/10.18 '==>'('==>'(h(0), '==>'(0, h(0))), X_691) =
% 9.95/10.18 '==>'('==>'(0, 0), X_691)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_75 :
% 9.95/10.18 [bind(X3, $fot('==>'('==>'(h(0), '==>'(0, h(0))), X_691))),
% 9.95/10.18 bind(X4, $fot('==>'('==>'(0, 0), X_691)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_163, plain,
% 9.95/10.18 (~
% 9.95/10.18 greater_equal('==>'('==>'(0, 0), X_691),
% 9.95/10.18 '==>'('==>'(h(0), '==>'(0, h(0))), X_691)) |
% 9.95/10.18 '==>'('==>'(h(0), '==>'(0, h(0))), X_691) =
% 9.95/10.18 '==>'('==>'(0, 0), X_691)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal('==>'('==>'(h(0), '==>'(0, h(0))),
% 9.95/10.18 X_691), '==>'('==>'(0, 0), X_691)))],
% 9.95/10.18 [refute_0_161, refute_0_162])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_164, plain,
% 9.95/10.18 (greater_equal(add(X_165, '==>'(X_165, 0)), X_165)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_92 :
% 9.95/10.18 [bind(X_162, $fot(X_165)),
% 9.95/10.18 bind(X_163, $fot('==>'(X_165, 0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_165, plain, (add(X_165, '==>'(X_165, 0)) = '==>'(0, X_165)),
% 9.95/10.18 inference(subst, [], [refute_0_70 : [bind(X_10, $fot(X_165))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_166, plain,
% 9.95/10.18 (add(X_165, '==>'(X_165, 0)) != '==>'(0, X_165) |
% 9.95/10.18 ~ greater_equal(add(X_165, '==>'(X_165, 0)), X_165) |
% 9.95/10.18 greater_equal('==>'(0, X_165), X_165)),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(X_165, '==>'(X_165, 0)), X_165)),
% 9.95/10.18 [0], $fot('==>'(0, X_165))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_167, plain,
% 9.95/10.18 (~ greater_equal(add(X_165, '==>'(X_165, 0)), X_165) |
% 9.95/10.18 greater_equal('==>'(0, X_165), X_165)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(X_165, '==>'(X_165, 0)), '==>'(0, X_165)))],
% 9.95/10.18 [refute_0_165, refute_0_166])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_168, plain, (greater_equal('==>'(0, X_165), X_165)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(X_165, '==>'(X_165, 0)), X_165))],
% 9.95/10.18 [refute_0_164, refute_0_167])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_169, plain, (greater_equal('==>'(0, X_954), X_954)),
% 9.95/10.18 inference(subst, [], [refute_0_168 : [bind(X_165, $fot(X_954))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_170, plain,
% 9.95/10.18 (~ greater_equal(X_954, '==>'(0, X_954)) |
% 9.95/10.18 ~ greater_equal('==>'(0, X_954), X_954) | '==>'(0, X_954) = X_954),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_75 :
% 9.95/10.18 [bind(X3, $fot('==>'(0, X_954))), bind(X4, $fot(X_954))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_171, plain,
% 9.95/10.18 (~ greater_equal(X_954, '==>'(0, X_954)) | '==>'(0, X_954) = X_954),
% 9.95/10.18 inference(resolve, [$cnf(greater_equal('==>'(0, X_954), X_954))],
% 9.95/10.18 [refute_0_169, refute_0_170])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_172, plain, (greater_equal(add(X_442, X_444), X_444)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_85 :
% 9.95/10.18 [bind(X_159, $fot(X_444)), bind(X_160, $fot(X_442))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_173, plain,
% 9.95/10.18 (~ greater_equal(add(X_442, X_444), X_444) |
% 9.95/10.18 greater_equal(X_444, '==>'(X_442, X_444))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_3 :
% 9.95/10.18 [bind(X5, $fot(X_442)), bind(X6, $fot(X_444)),
% 9.95/10.18 bind(X7, $fot(X_444))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_174, plain, (greater_equal(X_444, '==>'(X_442, X_444))),
% 9.95/10.18 inference(resolve, [$cnf(greater_equal(add(X_442, X_444), X_444))],
% 9.95/10.18 [refute_0_172, refute_0_173])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_175, plain, (greater_equal(X_954, '==>'(0, X_954))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_174 :
% 9.95/10.18 [bind(X_442, $fot(0)), bind(X_444, $fot(X_954))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_176, plain, ('==>'(0, X_954) = X_954),
% 9.95/10.18 inference(resolve, [$cnf(greater_equal(X_954, '==>'(0, X_954)))],
% 9.95/10.18 [refute_0_175, refute_0_171])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_177, plain, ('==>'(0, X_691) = X_691),
% 9.95/10.18 inference(subst, [], [refute_0_176 : [bind(X_954, $fot(X_691))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_178, plain, ('==>'(0, 0) = 0),
% 9.95/10.18 inference(subst, [], [refute_0_176 : [bind(X_954, $fot(0))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_179, plain,
% 9.95/10.18 ('==>'('==>'(0, 0), X_691) = '==>'('==>'(0, 0), X_691)),
% 9.95/10.18 introduced(tautology, [refl, [$fot('==>'('==>'(0, 0), X_691))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_180, plain,
% 9.95/10.18 ('==>'(0, 0) != 0 |
% 9.95/10.18 '==>'('==>'(0, 0), X_691) != '==>'('==>'(0, 0), X_691) |
% 9.95/10.18 '==>'('==>'(0, 0), X_691) = '==>'(0, X_691)),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf($equal('==>'('==>'(0, 0), X_691),
% 9.95/10.18 '==>'('==>'(0, 0), X_691))), [1, 0], $fot(0)]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_181, plain,
% 9.95/10.18 ('==>'(0, 0) != 0 | '==>'('==>'(0, 0), X_691) = '==>'(0, X_691)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal('==>'('==>'(0, 0), X_691),
% 9.95/10.18 '==>'('==>'(0, 0), X_691)))],
% 9.95/10.18 [refute_0_179, refute_0_180])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_182, plain, ('==>'('==>'(0, 0), X_691) = '==>'(0, X_691)),
% 9.95/10.18 inference(resolve, [$cnf($equal('==>'(0, 0), 0))],
% 9.95/10.18 [refute_0_178, refute_0_181])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_183, plain, (Y != X | Y != Z | X = Z),
% 9.95/10.18 introduced(tautology, [equality, [$cnf($equal(Y, Z)), [0], $fot(X)]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_184, plain, (X != Y | Y != Z | X = Z),
% 9.95/10.18 inference(resolve, [$cnf($equal(Y, X))], [refute_0_15, refute_0_183])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_185, plain,
% 9.95/10.18 ('==>'(0, X_691) != X_691 |
% 9.95/10.18 '==>'('==>'(0, 0), X_691) != '==>'(0, X_691) |
% 9.95/10.18 '==>'('==>'(0, 0), X_691) = X_691),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_184 :
% 9.95/10.18 [bind(X, $fot('==>'('==>'(0, 0), X_691))),
% 9.95/10.18 bind(Y, $fot('==>'(0, X_691))), bind(Z, $fot(X_691))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_186, plain,
% 9.95/10.18 ('==>'(0, X_691) != X_691 | '==>'('==>'(0, 0), X_691) = X_691),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal('==>'('==>'(0, 0), X_691), '==>'(0, X_691)))],
% 9.95/10.18 [refute_0_182, refute_0_185])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_187, plain, ('==>'('==>'(0, 0), X_691) = X_691),
% 9.95/10.18 inference(resolve, [$cnf($equal('==>'(0, X_691), X_691))],
% 9.95/10.18 [refute_0_177, refute_0_186])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_188, plain,
% 9.95/10.18 ('==>'('==>'(0, 0), X_691) != X_691 |
% 9.95/10.18 ~ greater_equal(X_691, '==>'('==>'(h(0), '==>'(0, h(0))), X_691)) |
% 9.95/10.18 greater_equal('==>'('==>'(0, 0), X_691),
% 9.95/10.18 '==>'('==>'(h(0), '==>'(0, h(0))), X_691))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(~ greater_equal('==>'('==>'(0, 0), X_691),
% 9.95/10.18 '==>'('==>'(h(0), '==>'(0, h(0))), X_691))), [0],
% 9.95/10.18 $fot(X_691)]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_189, plain,
% 9.95/10.18 (~ greater_equal(X_691, '==>'('==>'(h(0), '==>'(0, h(0))), X_691)) |
% 9.95/10.18 greater_equal('==>'('==>'(0, 0), X_691),
% 9.95/10.18 '==>'('==>'(h(0), '==>'(0, h(0))), X_691))),
% 9.95/10.18 inference(resolve, [$cnf($equal('==>'('==>'(0, 0), X_691), X_691))],
% 9.95/10.18 [refute_0_187, refute_0_188])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_190, plain, (greater_equal(add(h(0), add(X_14, h(0))), h(0))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_92 :
% 9.95/10.18 [bind(X_162, $fot(h(0))),
% 9.95/10.18 bind(X_163, $fot(add(X_14, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_191, plain,
% 9.95/10.18 (add(add(X_14, h(0)), h(0)) = add(X_14, add(h(0), h(0)))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_113 :
% 9.95/10.18 [bind(A, $fot(X_14)), bind(B, $fot(h(0))),
% 9.95/10.18 bind(C, $fot(h(0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_192, plain,
% 9.95/10.18 (add(add(X_14, h(0)), h(0)) != add(X_14, add(h(0), h(0))) |
% 9.95/10.18 add(h(0), h(0)) != '==>'(0, h(0)) |
% 9.95/10.18 add(add(X_14, h(0)), h(0)) = add(X_14, '==>'(0, h(0)))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf($equal(add(add(X_14, h(0)), h(0)),
% 9.95/10.18 add(X_14, add(h(0), h(0))))), [1, 1],
% 9.95/10.18 $fot('==>'(0, h(0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_193, plain,
% 9.95/10.18 (add(add(X_14, h(0)), h(0)) != add(X_14, add(h(0), h(0))) |
% 9.95/10.18 add(add(X_14, h(0)), h(0)) = add(X_14, '==>'(0, h(0)))),
% 9.95/10.18 inference(resolve, [$cnf($equal(add(h(0), h(0)), '==>'(0, h(0))))],
% 9.95/10.18 [refute_0_148, refute_0_192])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_194, plain,
% 9.95/10.18 (add(add(X_14, h(0)), h(0)) = add(X_14, '==>'(0, h(0)))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(add(X_14, h(0)), h(0)),
% 9.95/10.18 add(X_14, add(h(0), h(0)))))],
% 9.95/10.18 [refute_0_191, refute_0_193])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_195, plain,
% 9.95/10.18 (add(add(X_14, h(0)), h(0)) = add(h(0), add(X_14, h(0)))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_153 :
% 9.95/10.18 [bind(A, $fot(h(0))), bind(B, $fot(add(X_14, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_196, plain,
% 9.95/10.18 (add(add(X_14, h(0)), h(0)) != add(X_14, '==>'(0, h(0))) |
% 9.95/10.18 add(add(X_14, h(0)), h(0)) != add(h(0), add(X_14, h(0))) |
% 9.95/10.18 add(h(0), add(X_14, h(0))) = add(X_14, '==>'(0, h(0)))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf($equal(add(add(X_14, h(0)), h(0)),
% 9.95/10.18 add(X_14, '==>'(0, h(0))))), [0],
% 9.95/10.18 $fot(add(h(0), add(X_14, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_197, plain,
% 9.95/10.18 (add(add(X_14, h(0)), h(0)) != add(X_14, '==>'(0, h(0))) |
% 9.95/10.18 add(h(0), add(X_14, h(0))) = add(X_14, '==>'(0, h(0)))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(add(X_14, h(0)), h(0)),
% 9.95/10.18 add(h(0), add(X_14, h(0)))))],
% 9.95/10.18 [refute_0_195, refute_0_196])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_198, plain,
% 9.95/10.18 (add(h(0), add(X_14, h(0))) = add(X_14, '==>'(0, h(0)))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(add(X_14, h(0)), h(0)),
% 9.95/10.18 add(X_14, '==>'(0, h(0)))))],
% 9.95/10.18 [refute_0_194, refute_0_197])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_199, plain,
% 9.95/10.18 (add(h(0), add(X_14, h(0))) != add(X_14, '==>'(0, h(0))) |
% 9.95/10.18 ~ greater_equal(add(h(0), add(X_14, h(0))), h(0)) |
% 9.95/10.18 greater_equal(add(X_14, '==>'(0, h(0))), h(0))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(h(0), add(X_14, h(0))), h(0))),
% 9.95/10.18 [0], $fot(add(X_14, '==>'(0, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_200, plain,
% 9.95/10.18 (~ greater_equal(add(h(0), add(X_14, h(0))), h(0)) |
% 9.95/10.18 greater_equal(add(X_14, '==>'(0, h(0))), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(h(0), add(X_14, h(0))),
% 9.95/10.18 add(X_14, '==>'(0, h(0)))))],
% 9.95/10.18 [refute_0_198, refute_0_199])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_201, plain, (greater_equal(add(X_14, '==>'(0, h(0))), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(h(0), add(X_14, h(0))), h(0)))],
% 9.95/10.18 [refute_0_190, refute_0_200])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_202, plain,
% 9.95/10.18 (greater_equal(add(add(A, B), '==>'(0, h(0))), h(0))),
% 9.95/10.18 inference(subst, [], [refute_0_201 : [bind(X_14, $fot(add(A, B)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_203, plain,
% 9.95/10.18 (add(add(A, B), '==>'(0, h(0))) = add(A, add(B, '==>'(0, h(0))))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_113 : [bind(C, $fot('==>'(0, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_204, plain,
% 9.95/10.18 (add(add(A, B), '==>'(0, h(0))) != add(A, add(B, '==>'(0, h(0)))) |
% 9.95/10.18 ~ greater_equal(add(add(A, B), '==>'(0, h(0))), h(0)) |
% 9.95/10.18 greater_equal(add(A, add(B, '==>'(0, h(0)))), h(0))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(add(A, B), '==>'(0, h(0))), h(0))),
% 9.95/10.18 [0], $fot(add(A, add(B, '==>'(0, h(0)))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_205, plain,
% 9.95/10.18 (~ greater_equal(add(add(A, B), '==>'(0, h(0))), h(0)) |
% 9.95/10.18 greater_equal(add(A, add(B, '==>'(0, h(0)))), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(add(A, B), '==>'(0, h(0))),
% 9.95/10.18 add(A, add(B, '==>'(0, h(0))))))],
% 9.95/10.18 [refute_0_203, refute_0_204])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_206, plain,
% 9.95/10.18 (greater_equal(add(A, add(B, '==>'(0, h(0)))), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(add(A, B), '==>'(0, h(0))), h(0)))],
% 9.95/10.18 [refute_0_202, refute_0_205])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_207, plain,
% 9.95/10.18 (greater_equal(add(X_194, add(X_195, '==>'(0, h(0)))), h(0))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_206 :
% 9.95/10.18 [bind(A, $fot(X_194)), bind(B, $fot(X_195))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_208, plain,
% 9.95/10.18 (add('==>'(0, h(0)), X_195) = add(X_195, '==>'(0, h(0)))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_60 :
% 9.95/10.18 [bind(A, $fot('==>'(0, h(0)))), bind(B, $fot(X_195))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_209, plain,
% 9.95/10.18 (add('==>'(0, h(0)), X_195) != add(X_195, '==>'(0, h(0))) |
% 9.95/10.18 add(X_195, '==>'(0, h(0))) = add('==>'(0, h(0)), X_195)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_15 :
% 9.95/10.18 [bind(X, $fot(add('==>'(0, h(0)), X_195))),
% 9.95/10.18 bind(Y, $fot(add(X_195, '==>'(0, h(0)))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_210, plain,
% 9.95/10.18 (add(X_195, '==>'(0, h(0))) = add('==>'(0, h(0)), X_195)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add('==>'(0, h(0)), X_195),
% 9.95/10.18 add(X_195, '==>'(0, h(0)))))],
% 9.95/10.18 [refute_0_208, refute_0_209])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_211, plain,
% 9.95/10.18 (add(X_195, '==>'(0, h(0))) != add('==>'(0, h(0)), X_195) |
% 9.95/10.18 ~ greater_equal(add(X_194, add(X_195, '==>'(0, h(0)))), h(0)) |
% 9.95/10.18 greater_equal(add(X_194, add('==>'(0, h(0)), X_195)), h(0))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(X_194, add(X_195, '==>'(0, h(0)))),
% 9.95/10.18 h(0))), [0, 1],
% 9.95/10.18 $fot(add('==>'(0, h(0)), X_195))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_212, plain,
% 9.95/10.18 (~ greater_equal(add(X_194, add(X_195, '==>'(0, h(0)))), h(0)) |
% 9.95/10.18 greater_equal(add(X_194, add('==>'(0, h(0)), X_195)), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(X_195, '==>'(0, h(0))),
% 9.95/10.18 add('==>'(0, h(0)), X_195)))],
% 9.95/10.18 [refute_0_210, refute_0_211])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_213, plain,
% 9.95/10.18 (greater_equal(add(X_194, add('==>'(0, h(0)), X_195)), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(X_194, add(X_195, '==>'(0, h(0)))),
% 9.95/10.18 h(0)))], [refute_0_207, refute_0_212])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_214, plain,
% 9.95/10.18 (greater_equal(add(X_204,
% 9.95/10.18 add('==>'(0, h(0)), '==>'('==>'(0, h(0)), 0))), h(0))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_213 :
% 9.95/10.18 [bind(X_194, $fot(X_204)),
% 9.95/10.18 bind(X_195, $fot('==>'('==>'(0, h(0)), 0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_215, plain,
% 9.95/10.18 (add('==>'(0, h(0)), '==>'('==>'(0, h(0)), 0)) =
% 9.95/10.18 '==>'(0, '==>'(0, h(0)))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_70 : [bind(X_10, $fot('==>'(0, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_216, plain,
% 9.95/10.18 (add('==>'(0, h(0)), '==>'('==>'(0, h(0)), 0)) !=
% 9.95/10.18 '==>'(0, '==>'(0, h(0))) |
% 9.95/10.18 ~
% 9.95/10.18 greater_equal(add(X_204,
% 9.95/10.18 add('==>'(0, h(0)), '==>'('==>'(0, h(0)), 0))), h(0)) |
% 9.95/10.18 greater_equal(add(X_204, '==>'(0, '==>'(0, h(0)))), h(0))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(X_204,
% 9.95/10.18 add('==>'(0, h(0)), '==>'('==>'(0, h(0)), 0))),
% 9.95/10.18 h(0))), [0, 1], $fot('==>'(0, '==>'(0, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_217, plain,
% 9.95/10.18 (~
% 9.95/10.18 greater_equal(add(X_204,
% 9.95/10.18 add('==>'(0, h(0)), '==>'('==>'(0, h(0)), 0))), h(0)) |
% 9.95/10.18 greater_equal(add(X_204, '==>'(0, '==>'(0, h(0)))), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add('==>'(0, h(0)), '==>'('==>'(0, h(0)), 0)),
% 9.95/10.18 '==>'(0, '==>'(0, h(0)))))],
% 9.95/10.18 [refute_0_215, refute_0_216])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_218, plain,
% 9.95/10.18 (greater_equal(add(X_204, '==>'(0, '==>'(0, h(0)))), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(X_204,
% 9.95/10.18 add('==>'(0, h(0)), '==>'('==>'(0, h(0)), 0))),
% 9.95/10.18 h(0)))], [refute_0_214, refute_0_217])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_219, plain,
% 9.95/10.18 (greater_equal(add(X_442, '==>'(0, '==>'(0, h(0)))), h(0))),
% 9.95/10.18 inference(subst, [], [refute_0_218 : [bind(X_204, $fot(X_442))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_220, plain,
% 9.95/10.18 (~ greater_equal(add(X_442, '==>'(0, '==>'(0, h(0)))), h(0)) |
% 9.95/10.18 greater_equal('==>'(0, '==>'(0, h(0))), '==>'(X_442, h(0)))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_3 :
% 9.95/10.18 [bind(X5, $fot(X_442)),
% 9.95/10.18 bind(X6, $fot('==>'(0, '==>'(0, h(0))))),
% 9.95/10.18 bind(X7, $fot(h(0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_221, plain,
% 9.95/10.18 (greater_equal('==>'(0, '==>'(0, h(0))), '==>'(X_442, h(0)))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(X_442, '==>'(0, '==>'(0, h(0)))),
% 9.95/10.18 h(0)))], [refute_0_219, refute_0_220])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_222, plain,
% 9.95/10.18 (~ greater_equal('==>'(X_442, h(0)), '==>'(0, '==>'(0, h(0)))) |
% 9.95/10.18 ~ greater_equal('==>'(0, '==>'(0, h(0))), '==>'(X_442, h(0))) |
% 9.95/10.18 '==>'(0, '==>'(0, h(0))) = '==>'(X_442, h(0))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_75 :
% 9.95/10.18 [bind(X3, $fot('==>'(0, '==>'(0, h(0))))),
% 9.95/10.18 bind(X4, $fot('==>'(X_442, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_223, plain,
% 9.95/10.18 (~ greater_equal('==>'(X_442, h(0)), '==>'(0, '==>'(0, h(0)))) |
% 9.95/10.18 '==>'(0, '==>'(0, h(0))) = '==>'(X_442, h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal('==>'(0, '==>'(0, h(0))),
% 9.95/10.18 '==>'(X_442, h(0))))],
% 9.95/10.18 [refute_0_221, refute_0_222])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_224, plain, (greater_equal(add(h(0), add(h(0), X_16)), h(0))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_92 :
% 9.95/10.18 [bind(X_162, $fot(h(0))),
% 9.95/10.18 bind(X_163, $fot(add(h(0), X_16)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_225, plain,
% 9.95/10.18 (add(add(h(0), h(0)), X_16) = add(h(0), add(h(0), X_16))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_113 :
% 9.95/10.18 [bind(A, $fot(h(0))), bind(B, $fot(h(0))),
% 9.95/10.18 bind(C, $fot(X_16))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_226, plain,
% 9.95/10.18 (add(add(h(0), h(0)), X_16) != add(h(0), add(h(0), X_16)) |
% 9.95/10.18 add(h(0), h(0)) != '==>'(0, h(0)) |
% 9.95/10.18 add('==>'(0, h(0)), X_16) = add(h(0), add(h(0), X_16))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf($equal(add(add(h(0), h(0)), X_16),
% 9.95/10.18 add(h(0), add(h(0), X_16)))), [0, 0],
% 9.95/10.18 $fot('==>'(0, h(0)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_227, plain,
% 9.95/10.18 (add(add(h(0), h(0)), X_16) != add(h(0), add(h(0), X_16)) |
% 9.95/10.18 add('==>'(0, h(0)), X_16) = add(h(0), add(h(0), X_16))),
% 9.95/10.18 inference(resolve, [$cnf($equal(add(h(0), h(0)), '==>'(0, h(0))))],
% 9.95/10.18 [refute_0_148, refute_0_226])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_228, plain,
% 9.95/10.18 (add('==>'(0, h(0)), X_16) = add(h(0), add(h(0), X_16))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(add(h(0), h(0)), X_16),
% 9.95/10.18 add(h(0), add(h(0), X_16))))],
% 9.95/10.18 [refute_0_225, refute_0_227])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_229, plain,
% 9.95/10.18 (add('==>'(0, h(0)), X_16) != add(h(0), add(h(0), X_16)) |
% 9.95/10.18 add(h(0), add(h(0), X_16)) = add('==>'(0, h(0)), X_16)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_15 :
% 9.95/10.18 [bind(X, $fot(add('==>'(0, h(0)), X_16))),
% 9.95/10.18 bind(Y, $fot(add(h(0), add(h(0), X_16))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_230, plain,
% 9.95/10.18 (add(h(0), add(h(0), X_16)) = add('==>'(0, h(0)), X_16)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add('==>'(0, h(0)), X_16),
% 9.95/10.18 add(h(0), add(h(0), X_16))))],
% 9.95/10.18 [refute_0_228, refute_0_229])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_231, plain,
% 9.95/10.18 (add(h(0), add(h(0), X_16)) != add('==>'(0, h(0)), X_16) |
% 9.95/10.18 ~ greater_equal(add(h(0), add(h(0), X_16)), h(0)) |
% 9.95/10.18 greater_equal(add('==>'(0, h(0)), X_16), h(0))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add(h(0), add(h(0), X_16)), h(0))),
% 9.95/10.18 [0], $fot(add('==>'(0, h(0)), X_16))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_232, plain,
% 9.95/10.18 (~ greater_equal(add(h(0), add(h(0), X_16)), h(0)) |
% 9.95/10.18 greater_equal(add('==>'(0, h(0)), X_16), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add(h(0), add(h(0), X_16)),
% 9.95/10.18 add('==>'(0, h(0)), X_16)))],
% 9.95/10.18 [refute_0_230, refute_0_231])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_233, plain, (greater_equal(add('==>'(0, h(0)), X_16), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add(h(0), add(h(0), X_16)), h(0)))],
% 9.95/10.18 [refute_0_224, refute_0_232])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_234, plain,
% 9.95/10.18 (greater_equal(add('==>'(0, h(0)),
% 9.95/10.18 add('==>'('==>'(0, h(0)), 0), X_16)), h(0))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_233 :
% 9.95/10.18 [bind(X_16, $fot(add('==>'('==>'(0, h(0)), 0), X_16)))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_235, plain,
% 9.95/10.18 (add('==>'(0, '==>'(0, h(0))), X_16) =
% 9.95/10.18 add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), X_16))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_118 : [bind(X_14, $fot('==>'(0, h(0))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_236, plain,
% 9.95/10.18 (add('==>'(0, '==>'(0, h(0))), X_16) !=
% 9.95/10.18 add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), X_16)) |
% 9.95/10.18 add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), X_16)) =
% 9.95/10.18 add('==>'(0, '==>'(0, h(0))), X_16)),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_15 :
% 9.95/10.18 [bind(X, $fot(add('==>'(0, '==>'(0, h(0))), X_16))),
% 9.95/10.18 bind(Y,
% 9.95/10.18 $fot(add('==>'(0, h(0)),
% 9.95/10.18 add('==>'('==>'(0, h(0)), 0), X_16))))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_237, plain,
% 9.95/10.18 (add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), X_16)) =
% 9.95/10.18 add('==>'(0, '==>'(0, h(0))), X_16)),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add('==>'(0, '==>'(0, h(0))), X_16),
% 9.95/10.18 add('==>'(0, h(0)),
% 9.95/10.18 add('==>'('==>'(0, h(0)), 0), X_16))))],
% 9.95/10.18 [refute_0_235, refute_0_236])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_238, plain,
% 9.95/10.18 (add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), X_16)) !=
% 9.95/10.18 add('==>'(0, '==>'(0, h(0))), X_16) |
% 9.95/10.18 ~
% 9.95/10.18 greater_equal(add('==>'(0, h(0)),
% 9.95/10.18 add('==>'('==>'(0, h(0)), 0), X_16)), h(0)) |
% 9.95/10.18 greater_equal(add('==>'(0, '==>'(0, h(0))), X_16), h(0))),
% 9.95/10.18 introduced(tautology,
% 9.95/10.18 [equality,
% 9.95/10.18 [$cnf(greater_equal(add('==>'(0, h(0)),
% 9.95/10.18 add('==>'('==>'(0, h(0)), 0), X_16)), h(0))),
% 9.95/10.18 [0], $fot(add('==>'(0, '==>'(0, h(0))), X_16))]])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_239, plain,
% 9.95/10.18 (~
% 9.95/10.18 greater_equal(add('==>'(0, h(0)),
% 9.95/10.18 add('==>'('==>'(0, h(0)), 0), X_16)), h(0)) |
% 9.95/10.18 greater_equal(add('==>'(0, '==>'(0, h(0))), X_16), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf($equal(add('==>'(0, h(0)),
% 9.95/10.18 add('==>'('==>'(0, h(0)), 0), X_16)),
% 9.95/10.18 add('==>'(0, '==>'(0, h(0))), X_16)))],
% 9.95/10.18 [refute_0_237, refute_0_238])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_240, plain,
% 9.95/10.18 (greater_equal(add('==>'(0, '==>'(0, h(0))), X_16), h(0))),
% 9.95/10.18 inference(resolve,
% 9.95/10.18 [$cnf(greater_equal(add('==>'(0, h(0)),
% 9.95/10.18 add('==>'('==>'(0, h(0)), 0), X_16)), h(0)))],
% 9.95/10.18 [refute_0_234, refute_0_239])).
% 9.95/10.18
% 9.95/10.18 cnf(refute_0_241, plain,
% 9.95/10.18 (greater_equal(add('==>'(0, '==>'(0, h(0))),
% 9.95/10.18 '==>'('==>'(0, '==>'(0, h(0))), 0)), h(0))),
% 9.95/10.18 inference(subst, [],
% 9.95/10.18 [refute_0_240 :
% 9.95/10.18 [bind(X_16, $fot('==>'('==>'(0, '==>'(0, h(0))), 0)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_242, plain,
% 9.95/10.19 (add('==>'(0, '==>'(0, h(0))), '==>'('==>'(0, '==>'(0, h(0))), 0)) =
% 9.95/10.19 '==>'(0, '==>'(0, '==>'(0, h(0))))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_70 :
% 9.95/10.19 [bind(X_10, $fot('==>'(0, '==>'(0, h(0)))))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_243, plain,
% 9.95/10.19 (add('==>'(0, '==>'(0, h(0))), '==>'('==>'(0, '==>'(0, h(0))), 0)) !=
% 9.95/10.19 '==>'(0, '==>'(0, '==>'(0, h(0)))) |
% 9.95/10.19 ~
% 9.95/10.19 greater_equal(add('==>'(0, '==>'(0, h(0))),
% 9.95/10.19 '==>'('==>'(0, '==>'(0, h(0))), 0)), h(0)) |
% 9.95/10.19 greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))), h(0))),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf(greater_equal(add('==>'(0, '==>'(0, h(0))),
% 9.95/10.19 '==>'('==>'(0, '==>'(0, h(0))), 0)), h(0))), [0],
% 9.95/10.19 $fot('==>'(0, '==>'(0, '==>'(0, h(0)))))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_244, plain,
% 9.95/10.19 (~
% 9.95/10.19 greater_equal(add('==>'(0, '==>'(0, h(0))),
% 9.95/10.19 '==>'('==>'(0, '==>'(0, h(0))), 0)), h(0)) |
% 9.95/10.19 greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))), h(0))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(0, '==>'(0, h(0))),
% 9.95/10.19 '==>'('==>'(0, '==>'(0, h(0))), 0)),
% 9.95/10.19 '==>'(0, '==>'(0, '==>'(0, h(0))))))],
% 9.95/10.19 [refute_0_242, refute_0_243])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_245, plain,
% 9.95/10.19 (greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))), h(0))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf(greater_equal(add('==>'(0, '==>'(0, h(0))),
% 9.95/10.19 '==>'('==>'(0, '==>'(0, h(0))), 0)), h(0)))],
% 9.95/10.19 [refute_0_241, refute_0_244])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_246, plain,
% 9.95/10.19 (~ greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))), h(0)) |
% 9.95/10.19 ~ greater_equal(h(0), '==>'(0, '==>'(0, '==>'(0, h(0))))) |
% 9.95/10.19 '==>'(0, '==>'(0, '==>'(0, h(0)))) = h(0)),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_75 :
% 9.95/10.19 [bind(X3, $fot('==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 9.95/10.19 bind(X4, $fot(h(0)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_247, plain,
% 9.95/10.19 (~ greater_equal(h(0), '==>'(0, '==>'(0, '==>'(0, h(0))))) |
% 9.95/10.19 '==>'(0, '==>'(0, '==>'(0, h(0)))) = h(0)),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf(greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 9.95/10.19 h(0)))], [refute_0_245, refute_0_246])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_248, plain, (greater_equal(A, A)),
% 9.95/10.19 inference(canonicalize, [], [normalize_0_32])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_249, plain,
% 9.95/10.19 (greater_equal(add(X_442, X_443), add(X_442, X_443))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_248 : [bind(A, $fot(add(X_442, X_443)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_250, plain,
% 9.95/10.19 (~ greater_equal(add(X_442, X_443), add(X_442, X_443)) |
% 9.95/10.19 greater_equal(X_443, '==>'(X_442, add(X_442, X_443)))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_3 :
% 9.95/10.19 [bind(X5, $fot(X_442)), bind(X6, $fot(X_443)),
% 9.95/10.19 bind(X7, $fot(add(X_442, X_443)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_251, plain,
% 9.95/10.19 (greater_equal(X_443, '==>'(X_442, add(X_442, X_443)))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf(greater_equal(add(X_442, X_443), add(X_442, X_443)))],
% 9.95/10.19 [refute_0_249, refute_0_250])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_252, plain,
% 9.95/10.19 (greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 9.95/10.19 '==>'('==>'(h(0), 1),
% 9.95/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0)))))))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_251 :
% 9.95/10.19 [bind(X_442, $fot('==>'(h(0), 1))),
% 9.95/10.19 bind(X_443, $fot('==>'(0, '==>'(0, '==>'(0, h(0))))))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_253, plain,
% 9.95/10.19 (add(add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))), C) =
% 9.95/10.19 add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_113 :
% 9.95/10.19 [bind(A, $fot('==>'(h(0), 1))),
% 9.95/10.19 bind(B, $fot('==>'(0, '==>'(0, h(0)))))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_254, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) =
% 9.95/10.19 add(h(0), add(h(0), add(X_20, '==>'(h(0), 1))))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_228 :
% 9.95/10.19 [bind(X_16, $fot(add(X_20, '==>'(h(0), 1))))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_255, plain,
% 9.95/10.19 (add(add(X_14, '==>'(X_14, 1)), X_16) =
% 9.95/10.19 add(X_14, add('==>'(X_14, 1), X_16))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_113 :
% 9.95/10.19 [bind(A, $fot(X_14)), bind(B, $fot('==>'(X_14, 1))),
% 9.95/10.19 bind(C, $fot(X_16))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_256, plain, (add(A, 1) = 1),
% 9.95/10.19 inference(canonicalize, [], [normalize_0_34])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_257, plain, (add(A, 1) = add(1, A)),
% 9.95/10.19 inference(subst, [], [refute_0_60 : [bind(B, $fot(1))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_258, plain,
% 9.95/10.19 (add(A, 1) != add(1, A) | add(A, 1) != 1 | add(1, A) = 1),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(add(A, 1), 1)), [0], $fot(add(1, A))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_259, plain, (add(A, 1) != 1 | add(1, A) = 1),
% 9.95/10.19 inference(resolve, [$cnf($equal(add(A, 1), add(1, A)))],
% 9.95/10.19 [refute_0_257, refute_0_258])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_260, plain, (add(1, A) = 1),
% 9.95/10.19 inference(resolve, [$cnf($equal(add(A, 1), 1))],
% 9.95/10.19 [refute_0_256, refute_0_259])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_261, plain, (add(1, '==>'(1, X_10)) = 1),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_260 : [bind(A, $fot('==>'(1, X_10)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_262, plain,
% 9.95/10.19 (add(1, '==>'(1, X_10)) = add(X_10, '==>'(X_10, 1))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_66 : [bind(A, $fot(1)), bind(B, $fot(X_10))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_263, plain,
% 9.95/10.19 (add(1, '==>'(1, X_10)) != add(X_10, '==>'(X_10, 1)) |
% 9.95/10.19 add(1, '==>'(1, X_10)) != 1 | add(X_10, '==>'(X_10, 1)) = 1),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(add(1, '==>'(1, X_10)), 1)), [0],
% 9.95/10.19 $fot(add(X_10, '==>'(X_10, 1)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_264, plain,
% 9.95/10.19 (add(1, '==>'(1, X_10)) != 1 | add(X_10, '==>'(X_10, 1)) = 1),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add(1, '==>'(1, X_10)),
% 9.95/10.19 add(X_10, '==>'(X_10, 1))))],
% 9.95/10.19 [refute_0_262, refute_0_263])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_265, plain, (add(X_10, '==>'(X_10, 1)) = 1),
% 9.95/10.19 inference(resolve, [$cnf($equal(add(1, '==>'(1, X_10)), 1))],
% 9.95/10.19 [refute_0_261, refute_0_264])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_266, plain, (add(X_14, '==>'(X_14, 1)) = 1),
% 9.95/10.19 inference(subst, [], [refute_0_265 : [bind(X_10, $fot(X_14))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_267, plain,
% 9.95/10.19 (add(X_14, '==>'(X_14, 1)) != 1 |
% 9.95/10.19 add(add(X_14, '==>'(X_14, 1)), X_16) !=
% 9.95/10.19 add(X_14, add('==>'(X_14, 1), X_16)) |
% 9.95/10.19 add(1, X_16) = add(X_14, add('==>'(X_14, 1), X_16))),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(add(add(X_14, '==>'(X_14, 1)), X_16),
% 9.95/10.19 add(X_14, add('==>'(X_14, 1), X_16)))), [0, 0],
% 9.95/10.19 $fot(1)]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_268, plain,
% 9.95/10.19 (add(add(X_14, '==>'(X_14, 1)), X_16) !=
% 9.95/10.19 add(X_14, add('==>'(X_14, 1), X_16)) |
% 9.95/10.19 add(1, X_16) = add(X_14, add('==>'(X_14, 1), X_16))),
% 9.95/10.19 inference(resolve, [$cnf($equal(add(X_14, '==>'(X_14, 1)), 1))],
% 9.95/10.19 [refute_0_266, refute_0_267])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_269, plain,
% 9.95/10.19 (add(1, X_16) = add(X_14, add('==>'(X_14, 1), X_16))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add(add(X_14, '==>'(X_14, 1)), X_16),
% 9.95/10.19 add(X_14, add('==>'(X_14, 1), X_16))))],
% 9.95/10.19 [refute_0_255, refute_0_268])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_270, plain, (add(1, X_16) = 1),
% 9.95/10.19 inference(subst, [], [refute_0_260 : [bind(A, $fot(X_16))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_271, plain,
% 9.95/10.19 (add(1, X_16) != add(X_14, add('==>'(X_14, 1), X_16)) |
% 9.95/10.19 add(1, X_16) != 1 | 1 = add(X_14, add('==>'(X_14, 1), X_16))),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(add(1, X_16),
% 9.95/10.19 add(X_14, add('==>'(X_14, 1), X_16)))), [0],
% 9.95/10.19 $fot(1)]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_272, plain,
% 9.95/10.19 (add(1, X_16) != add(X_14, add('==>'(X_14, 1), X_16)) |
% 9.95/10.19 1 = add(X_14, add('==>'(X_14, 1), X_16))),
% 9.95/10.19 inference(resolve, [$cnf($equal(add(1, X_16), 1))],
% 9.95/10.19 [refute_0_270, refute_0_271])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_273, plain, (1 = add(X_14, add('==>'(X_14, 1), X_16))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add(1, X_16),
% 9.95/10.19 add(X_14, add('==>'(X_14, 1), X_16))))],
% 9.95/10.19 [refute_0_269, refute_0_272])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_274, plain, (1 = add(X_19, add('==>'(X_19, 1), X_20))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_273 :
% 9.95/10.19 [bind(X_14, $fot(X_19)), bind(X_16, $fot(X_20))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_275, plain,
% 9.95/10.19 (add(X_20, '==>'(X_19, 1)) = add('==>'(X_19, 1), X_20)),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_60 :
% 9.95/10.19 [bind(A, $fot(X_20)), bind(B, $fot('==>'(X_19, 1)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_276, plain,
% 9.95/10.19 (add(X_20, '==>'(X_19, 1)) != add('==>'(X_19, 1), X_20) |
% 9.95/10.19 add('==>'(X_19, 1), X_20) = add(X_20, '==>'(X_19, 1))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_15 :
% 9.95/10.19 [bind(X, $fot(add(X_20, '==>'(X_19, 1)))),
% 9.95/10.19 bind(Y, $fot(add('==>'(X_19, 1), X_20)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_277, plain,
% 9.95/10.19 (add('==>'(X_19, 1), X_20) = add(X_20, '==>'(X_19, 1))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add(X_20, '==>'(X_19, 1)),
% 9.95/10.19 add('==>'(X_19, 1), X_20)))],
% 9.95/10.19 [refute_0_275, refute_0_276])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_278, plain,
% 9.95/10.19 (add('==>'(X_19, 1), X_20) != add(X_20, '==>'(X_19, 1)) |
% 9.95/10.19 1 != add(X_19, add('==>'(X_19, 1), X_20)) |
% 9.95/10.19 1 = add(X_19, add(X_20, '==>'(X_19, 1)))),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(1, add(X_19, add('==>'(X_19, 1), X_20)))),
% 9.95/10.19 [1, 1], $fot(add(X_20, '==>'(X_19, 1)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_279, plain,
% 9.95/10.19 (1 != add(X_19, add('==>'(X_19, 1), X_20)) |
% 9.95/10.19 1 = add(X_19, add(X_20, '==>'(X_19, 1)))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(X_19, 1), X_20),
% 9.95/10.19 add(X_20, '==>'(X_19, 1))))],
% 9.95/10.19 [refute_0_277, refute_0_278])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_280, plain, (1 = add(X_19, add(X_20, '==>'(X_19, 1)))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(1, add(X_19, add('==>'(X_19, 1), X_20))))],
% 9.95/10.19 [refute_0_274, refute_0_279])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_281, plain, (1 = add(h(0), add(X_20, '==>'(h(0), 1)))),
% 9.95/10.19 inference(subst, [], [refute_0_280 : [bind(X_19, $fot(h(0)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_282, plain,
% 9.95/10.19 (1 != add(h(0), add(X_20, '==>'(h(0), 1))) |
% 9.95/10.19 add(h(0), add(X_20, '==>'(h(0), 1))) = 1),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_15 :
% 9.95/10.19 [bind(X, $fot(1)),
% 9.95/10.19 bind(Y, $fot(add(h(0), add(X_20, '==>'(h(0), 1)))))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_283, plain, (add(h(0), add(X_20, '==>'(h(0), 1))) = 1),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(1, add(h(0), add(X_20, '==>'(h(0), 1)))))],
% 9.95/10.19 [refute_0_281, refute_0_282])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_284, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) !=
% 9.95/10.19 add(h(0), add(h(0), add(X_20, '==>'(h(0), 1)))) |
% 9.95/10.19 add(h(0), add(X_20, '==>'(h(0), 1))) != 1 |
% 9.95/10.19 add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) = add(h(0), 1)),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(add('==>'(0, h(0)),
% 9.95/10.19 add(X_20, '==>'(h(0), 1))),
% 9.95/10.19 add(h(0), add(h(0), add(X_20, '==>'(h(0), 1)))))),
% 9.95/10.19 [1, 1], $fot(1)]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_285, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) !=
% 9.95/10.19 add(h(0), add(h(0), add(X_20, '==>'(h(0), 1)))) |
% 9.95/10.19 add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) = add(h(0), 1)),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add(h(0), add(X_20, '==>'(h(0), 1))), 1))],
% 9.95/10.19 [refute_0_283, refute_0_284])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_286, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) = add(h(0), 1)),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))),
% 9.95/10.19 add(h(0), add(h(0), add(X_20, '==>'(h(0), 1))))))],
% 9.95/10.19 [refute_0_254, refute_0_285])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_287, plain, (add(h(0), 1) = 1),
% 9.95/10.19 inference(subst, [], [refute_0_256 : [bind(A, $fot(h(0)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_288, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) != add(h(0), 1) |
% 9.95/10.19 add(h(0), 1) != 1 |
% 9.95/10.19 add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) = 1),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf(~ $equal(add('==>'(0, h(0)),
% 9.95/10.19 add(X_20, '==>'(h(0), 1))), 1)), [0],
% 9.95/10.19 $fot(add(h(0), 1))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_289, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) != add(h(0), 1) |
% 9.95/10.19 add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) = 1),
% 9.95/10.19 inference(resolve, [$cnf($equal(add(h(0), 1), 1))],
% 9.95/10.19 [refute_0_287, refute_0_288])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_290, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))) = 1),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(0, h(0)), add(X_20, '==>'(h(0), 1))),
% 9.95/10.19 add(h(0), 1)))], [refute_0_286, refute_0_289])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_291, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))) =
% 9.95/10.19 1),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_290 :
% 9.95/10.19 [bind(X_20, $fot('==>'('==>'(0, h(0)), 0)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_292, plain,
% 9.95/10.19 (add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) =
% 9.95/10.19 add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1)))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_118 :
% 9.95/10.19 [bind(X_14, $fot('==>'(0, h(0)))),
% 9.95/10.19 bind(X_16, $fot('==>'(h(0), 1)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_293, plain,
% 9.95/10.19 (add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) !=
% 9.95/10.19 add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))) |
% 9.95/10.19 add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))) =
% 9.95/10.19 add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_15 :
% 9.95/10.19 [bind(X,
% 9.95/10.19 $fot(add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)))),
% 9.95/10.19 bind(Y,
% 9.95/10.19 $fot(add('==>'(0, h(0)),
% 9.95/10.19 add('==>'('==>'(0, h(0)), 0),
% 9.95/10.19 '==>'(h(0), 1)))))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_294, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))) =
% 9.95/10.19 add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)),
% 9.95/10.19 add('==>'(0, h(0)),
% 9.95/10.19 add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1)))))],
% 9.95/10.19 [refute_0_292, refute_0_293])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_295, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))) !=
% 9.95/10.19 add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) |
% 9.95/10.19 add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))) !=
% 9.95/10.19 1 | add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) = 1),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(add('==>'(0, h(0)),
% 9.95/10.19 add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))),
% 9.95/10.19 1)), [0],
% 9.95/10.19 $fot(add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_296, plain,
% 9.95/10.19 (add('==>'(0, h(0)), add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))) !=
% 9.95/10.19 1 | add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) = 1),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(0, h(0)),
% 9.95/10.19 add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))),
% 9.95/10.19 add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1))))],
% 9.95/10.19 [refute_0_294, refute_0_295])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_297, plain,
% 9.95/10.19 (add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) = 1),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(0, h(0)),
% 9.95/10.19 add('==>'('==>'(0, h(0)), 0), '==>'(h(0), 1))),
% 9.95/10.19 1))], [refute_0_291, refute_0_296])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_298, plain,
% 9.95/10.19 (add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) =
% 9.95/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0))))),
% 9.95/10.19 inference(subst, [],
% 9.95/10.19 [refute_0_153 :
% 9.95/10.19 [bind(A, $fot('==>'(h(0), 1))),
% 9.95/10.19 bind(B, $fot('==>'(0, '==>'(0, h(0)))))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_299, plain,
% 9.95/10.19 (add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) !=
% 9.95/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))) |
% 9.95/10.19 add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) != 1 |
% 9.95/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))) = 1),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)),
% 9.95/10.19 1)), [0],
% 9.95/10.19 $fot(add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_300, plain,
% 9.95/10.19 (add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)) != 1 |
% 9.95/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))) = 1),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)),
% 9.95/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0))))))],
% 9.95/10.19 [refute_0_298, refute_0_299])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_301, plain,
% 9.95/10.19 (add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))) = 1),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(0, '==>'(0, h(0))), '==>'(h(0), 1)),
% 9.95/10.19 1))], [refute_0_297, refute_0_300])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_302, plain,
% 9.95/10.19 (add(add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))), C) !=
% 9.95/10.19 add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C)) |
% 9.95/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))) != 1 |
% 9.95/10.19 add(1, C) = add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C))),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(add(add('==>'(h(0), 1),
% 9.95/10.19 '==>'(0, '==>'(0, h(0)))), C),
% 9.95/10.19 add('==>'(h(0), 1),
% 9.95/10.19 add('==>'(0, '==>'(0, h(0))), C)))), [0, 0],
% 9.95/10.19 $fot(1)]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_303, plain,
% 9.95/10.19 (add(add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))), C) !=
% 9.95/10.19 add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C)) |
% 9.95/10.19 add(1, C) = add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add('==>'(h(0), 1), '==>'(0, '==>'(0, h(0)))),
% 9.95/10.19 1))], [refute_0_301, refute_0_302])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_304, plain,
% 9.95/10.19 (add(1, C) = add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add(add('==>'(h(0), 1),
% 9.95/10.19 '==>'(0, '==>'(0, h(0)))), C),
% 9.95/10.19 add('==>'(h(0), 1),
% 9.95/10.19 add('==>'(0, '==>'(0, h(0))), C))))],
% 9.95/10.19 [refute_0_253, refute_0_303])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_305, plain, (add(1, C) = 1),
% 9.95/10.19 inference(subst, [], [refute_0_260 : [bind(A, $fot(C))]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_306, plain,
% 9.95/10.19 (add(1, C) != add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C)) |
% 9.95/10.19 add(1, C) != 1 |
% 9.95/10.19 1 = add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C))),
% 9.95/10.19 introduced(tautology,
% 9.95/10.19 [equality,
% 9.95/10.19 [$cnf($equal(add(1, C),
% 9.95/10.19 add('==>'(h(0), 1),
% 9.95/10.19 add('==>'(0, '==>'(0, h(0))), C)))), [0],
% 9.95/10.19 $fot(1)]])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_307, plain,
% 9.95/10.19 (add(1, C) != add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C)) |
% 9.95/10.19 1 = add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C))),
% 9.95/10.19 inference(resolve, [$cnf($equal(add(1, C), 1))],
% 9.95/10.19 [refute_0_305, refute_0_306])).
% 9.95/10.19
% 9.95/10.19 cnf(refute_0_308, plain,
% 9.95/10.19 (1 = add('==>'(h(0), 1), add('==>'(0, '==>'(0, h(0))), C))),
% 9.95/10.19 inference(resolve,
% 9.95/10.19 [$cnf($equal(add(1, C),
% 9.95/10.19 add('==>'(h(0), 1),
% 9.95/10.19 add('==>'(0, '==>'(0, h(0))), C))))],
% 10.04/10.19 [refute_0_304, refute_0_307])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_309, plain,
% 10.04/10.19 (1 =
% 10.04/10.19 add('==>'(h(0), 1),
% 10.04/10.19 add('==>'(0, '==>'(0, h(0))), '==>'('==>'(0, '==>'(0, h(0))), 0)))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_308 :
% 10.04/10.19 [bind(C, $fot('==>'('==>'(0, '==>'(0, h(0))), 0)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_310, plain,
% 10.04/10.19 (add('==>'(0, '==>'(0, h(0))), '==>'('==>'(0, '==>'(0, h(0))), 0)) !=
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0)))) |
% 10.04/10.19 1 !=
% 10.04/10.19 add('==>'(h(0), 1),
% 10.04/10.19 add('==>'(0, '==>'(0, h(0))), '==>'('==>'(0, '==>'(0, h(0))), 0))) |
% 10.04/10.19 1 = add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf($equal(1,
% 10.04/10.19 add('==>'(h(0), 1),
% 10.04/10.19 add('==>'(0, '==>'(0, h(0))),
% 10.04/10.19 '==>'('==>'(0, '==>'(0, h(0))), 0))))), [1, 1],
% 10.04/10.19 $fot('==>'(0, '==>'(0, '==>'(0, h(0)))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_311, plain,
% 10.04/10.19 (1 !=
% 10.04/10.19 add('==>'(h(0), 1),
% 10.04/10.19 add('==>'(0, '==>'(0, h(0))), '==>'('==>'(0, '==>'(0, h(0))), 0))) |
% 10.04/10.19 1 = add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add('==>'(0, '==>'(0, h(0))),
% 10.04/10.19 '==>'('==>'(0, '==>'(0, h(0))), 0)),
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0))))))],
% 10.04/10.19 [refute_0_242, refute_0_310])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_312, plain,
% 10.04/10.19 (1 = add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(1,
% 10.04/10.19 add('==>'(h(0), 1),
% 10.04/10.19 add('==>'(0, '==>'(0, h(0))),
% 10.04/10.19 '==>'('==>'(0, '==>'(0, h(0))), 0)))))],
% 10.04/10.19 [refute_0_309, refute_0_311])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_313, plain,
% 10.04/10.19 (1 != add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0))))) |
% 10.04/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0))))) = 1),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_15 :
% 10.04/10.19 [bind(X, $fot(1)),
% 10.04/10.19 bind(Y,
% 10.04/10.19 $fot(add('==>'(h(0), 1),
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0)))))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_314, plain,
% 10.04/10.19 (add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0))))) = 1),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(1,
% 10.04/10.19 add('==>'(h(0), 1),
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0)))))))],
% 10.04/10.19 [refute_0_312, refute_0_313])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_315, plain,
% 10.04/10.19 (add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0))))) != 1 |
% 10.04/10.19 ~
% 10.04/10.19 greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.19 '==>'('==>'(h(0), 1),
% 10.04/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0))))))) |
% 10.04/10.19 greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.19 '==>'('==>'(h(0), 1), 1))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf(greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.19 '==>'('==>'(h(0), 1),
% 10.04/10.19 add('==>'(h(0), 1),
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0)))))))), [1, 1],
% 10.04/10.19 $fot(1)]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_316, plain,
% 10.04/10.19 (~
% 10.04/10.19 greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.19 '==>'('==>'(h(0), 1),
% 10.04/10.19 add('==>'(h(0), 1), '==>'(0, '==>'(0, '==>'(0, h(0))))))) |
% 10.04/10.19 greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.19 '==>'('==>'(h(0), 1), 1))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add('==>'(h(0), 1),
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0))))), 1))],
% 10.04/10.19 [refute_0_314, refute_0_315])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_317, plain,
% 10.04/10.19 (greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.19 '==>'('==>'(h(0), 1), 1))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.19 '==>'('==>'(h(0), 1),
% 10.04/10.19 add('==>'(h(0), 1),
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0))))))))],
% 10.04/10.19 [refute_0_252, refute_0_316])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_318, plain,
% 10.04/10.19 (~
% 10.04/10.19 greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.19 '==>'('==>'(h(0), 1), 1)) |
% 10.04/10.19 ~
% 10.04/10.19 greater_equal('==>'('==>'(h(0), 1), 1),
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0))))) |
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0)))) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_75 :
% 10.04/10.19 [bind(X3, $fot('==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 10.04/10.19 bind(X4, $fot('==>'('==>'(h(0), 1), 1)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_319, plain,
% 10.04/10.19 (~
% 10.04/10.19 greater_equal('==>'('==>'(h(0), 1), 1),
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0))))) |
% 10.04/10.19 '==>'(0, '==>'(0, '==>'(0, h(0)))) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.19 '==>'('==>'(h(0), 1), 1)))],
% 10.04/10.19 [refute_0_317, refute_0_318])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_320, plain,
% 10.04/10.19 (greater_equal(add(h(0), add(X_14, h(0))), add(X_14, h(0)))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_85 :
% 10.04/10.19 [bind(X_159, $fot(add(X_14, h(0)))),
% 10.04/10.19 bind(X_160, $fot(h(0)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_321, plain,
% 10.04/10.19 (add(h(0), add(X_14, h(0))) != add(X_14, '==>'(0, h(0))) |
% 10.04/10.19 ~ greater_equal(add(h(0), add(X_14, h(0))), add(X_14, h(0))) |
% 10.04/10.19 greater_equal(add(X_14, '==>'(0, h(0))), add(X_14, h(0)))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf(greater_equal(add(h(0), add(X_14, h(0))),
% 10.04/10.19 add(X_14, h(0)))), [0],
% 10.04/10.19 $fot(add(X_14, '==>'(0, h(0))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_322, plain,
% 10.04/10.19 (~ greater_equal(add(h(0), add(X_14, h(0))), add(X_14, h(0))) |
% 10.04/10.19 greater_equal(add(X_14, '==>'(0, h(0))), add(X_14, h(0)))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add(h(0), add(X_14, h(0))),
% 10.04/10.19 add(X_14, '==>'(0, h(0)))))],
% 10.04/10.19 [refute_0_198, refute_0_321])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_323, plain,
% 10.04/10.19 (greater_equal(add(X_14, '==>'(0, h(0))), add(X_14, h(0)))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal(add(h(0), add(X_14, h(0))),
% 10.04/10.19 add(X_14, h(0))))], [refute_0_320, refute_0_322])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_324, plain,
% 10.04/10.19 (greater_equal(add(X_170, '==>'(0, h(0))), add(X_170, h(0)))),
% 10.04/10.19 inference(subst, [], [refute_0_323 : [bind(X_14, $fot(X_170))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_325, plain, (add(h(0), X_170) = add(X_170, h(0))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_60 :
% 10.04/10.19 [bind(A, $fot(h(0))), bind(B, $fot(X_170))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_326, plain,
% 10.04/10.19 (add(h(0), X_170) != add(X_170, h(0)) |
% 10.04/10.19 add(X_170, h(0)) = add(h(0), X_170)),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_15 :
% 10.04/10.19 [bind(X, $fot(add(h(0), X_170))),
% 10.04/10.19 bind(Y, $fot(add(X_170, h(0))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_327, plain, (add(X_170, h(0)) = add(h(0), X_170)),
% 10.04/10.19 inference(resolve, [$cnf($equal(add(h(0), X_170), add(X_170, h(0))))],
% 10.04/10.19 [refute_0_325, refute_0_326])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_328, plain,
% 10.04/10.19 (add(X_170, h(0)) != add(h(0), X_170) |
% 10.04/10.19 ~ greater_equal(add(X_170, '==>'(0, h(0))), add(X_170, h(0))) |
% 10.04/10.19 greater_equal(add(X_170, '==>'(0, h(0))), add(h(0), X_170))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf(greater_equal(add(X_170, '==>'(0, h(0))),
% 10.04/10.19 add(X_170, h(0)))), [1],
% 10.04/10.19 $fot(add(h(0), X_170))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_329, plain,
% 10.04/10.19 (~ greater_equal(add(X_170, '==>'(0, h(0))), add(X_170, h(0))) |
% 10.04/10.19 greater_equal(add(X_170, '==>'(0, h(0))), add(h(0), X_170))),
% 10.04/10.19 inference(resolve, [$cnf($equal(add(X_170, h(0)), add(h(0), X_170)))],
% 10.04/10.19 [refute_0_327, refute_0_328])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_330, plain,
% 10.04/10.19 (greater_equal(add(X_170, '==>'(0, h(0))), add(h(0), X_170))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal(add(X_170, '==>'(0, h(0))),
% 10.04/10.19 add(X_170, h(0))))], [refute_0_324, refute_0_329])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_331, plain,
% 10.04/10.19 (greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(h(0), add(X_14, h(0))))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_330 : [bind(X_170, $fot(add(X_14, h(0))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_332, plain,
% 10.04/10.19 (add(h(0), add(X_14, h(0))) != add(X_14, '==>'(0, h(0))) |
% 10.04/10.19 ~
% 10.04/10.19 greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(h(0), add(X_14, h(0)))) |
% 10.04/10.19 greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(X_14, '==>'(0, h(0))))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf(greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(h(0), add(X_14, h(0))))), [1],
% 10.04/10.19 $fot(add(X_14, '==>'(0, h(0))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_333, plain,
% 10.04/10.19 (~
% 10.04/10.19 greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(h(0), add(X_14, h(0)))) |
% 10.04/10.19 greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(X_14, '==>'(0, h(0))))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add(h(0), add(X_14, h(0))),
% 10.04/10.19 add(X_14, '==>'(0, h(0)))))],
% 10.04/10.19 [refute_0_198, refute_0_332])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_334, plain,
% 10.04/10.19 (greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(X_14, '==>'(0, h(0))))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(h(0), add(X_14, h(0)))))],
% 10.04/10.19 [refute_0_331, refute_0_333])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_335, plain,
% 10.04/10.19 (add(add(X_14, h(0)), '==>'(0, h(0))) =
% 10.04/10.19 add(X_14, add(h(0), '==>'(0, h(0))))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_113 :
% 10.04/10.19 [bind(A, $fot(X_14)), bind(B, $fot(h(0))),
% 10.04/10.19 bind(C, $fot('==>'(0, h(0))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_336, plain,
% 10.04/10.19 (add(add(X_14, h(0)), '==>'(0, h(0))) !=
% 10.04/10.19 add(X_14, add(h(0), '==>'(0, h(0)))) |
% 10.04/10.19 ~
% 10.04/10.19 greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(X_14, '==>'(0, h(0)))) |
% 10.04/10.19 greater_equal(add(X_14, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add(X_14, '==>'(0, h(0))))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf(greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(X_14, '==>'(0, h(0))))), [0],
% 10.04/10.19 $fot(add(X_14, add(h(0), '==>'(0, h(0)))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_337, plain,
% 10.04/10.19 (~
% 10.04/10.19 greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(X_14, '==>'(0, h(0)))) |
% 10.04/10.19 greater_equal(add(X_14, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add(X_14, '==>'(0, h(0))))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(X_14, add(h(0), '==>'(0, h(0))))))],
% 10.04/10.19 [refute_0_335, refute_0_336])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_338, plain,
% 10.04/10.19 (greater_equal(add(X_14, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add(X_14, '==>'(0, h(0))))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal(add(add(X_14, h(0)), '==>'(0, h(0))),
% 10.04/10.19 add(X_14, '==>'(0, h(0)))))],
% 10.04/10.19 [refute_0_334, refute_0_337])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_339, plain,
% 10.04/10.19 (greater_equal(add(X_231, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add(X_231, '==>'(0, h(0))))),
% 10.04/10.19 inference(subst, [], [refute_0_338 : [bind(X_14, $fot(X_231))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_340, plain,
% 10.04/10.19 (add('==>'(0, h(0)), X_231) = add(X_231, '==>'(0, h(0)))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_60 :
% 10.04/10.19 [bind(A, $fot('==>'(0, h(0)))), bind(B, $fot(X_231))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_341, plain,
% 10.04/10.19 (add('==>'(0, h(0)), X_231) != add(X_231, '==>'(0, h(0))) |
% 10.04/10.19 add(X_231, '==>'(0, h(0))) = add('==>'(0, h(0)), X_231)),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_15 :
% 10.04/10.19 [bind(X, $fot(add('==>'(0, h(0)), X_231))),
% 10.04/10.19 bind(Y, $fot(add(X_231, '==>'(0, h(0)))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_342, plain,
% 10.04/10.19 (add(X_231, '==>'(0, h(0))) = add('==>'(0, h(0)), X_231)),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add('==>'(0, h(0)), X_231),
% 10.04/10.19 add(X_231, '==>'(0, h(0)))))],
% 10.04/10.19 [refute_0_340, refute_0_341])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_343, plain,
% 10.04/10.19 (add(X_231, '==>'(0, h(0))) != add('==>'(0, h(0)), X_231) |
% 10.04/10.19 ~
% 10.04/10.19 greater_equal(add(X_231, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add(X_231, '==>'(0, h(0)))) |
% 10.04/10.19 greater_equal(add(X_231, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add('==>'(0, h(0)), X_231))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf(greater_equal(add(X_231, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add(X_231, '==>'(0, h(0))))), [1],
% 10.04/10.19 $fot(add('==>'(0, h(0)), X_231))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_344, plain,
% 10.04/10.19 (~
% 10.04/10.19 greater_equal(add(X_231, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add(X_231, '==>'(0, h(0)))) |
% 10.04/10.19 greater_equal(add(X_231, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add('==>'(0, h(0)), X_231))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add(X_231, '==>'(0, h(0))),
% 10.04/10.19 add('==>'(0, h(0)), X_231)))],
% 10.04/10.19 [refute_0_342, refute_0_343])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_345, plain,
% 10.04/10.19 (greater_equal(add(X_231, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add('==>'(0, h(0)), X_231))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal(add(X_231, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add(X_231, '==>'(0, h(0)))))],
% 10.04/10.19 [refute_0_339, refute_0_344])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_346, plain,
% 10.04/10.19 (greater_equal(add(X_442, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add('==>'(0, h(0)), X_442))),
% 10.04/10.19 inference(subst, [], [refute_0_345 : [bind(X_231, $fot(X_442))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_347, plain,
% 10.04/10.19 (~
% 10.04/10.19 greater_equal(add(X_442, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add('==>'(0, h(0)), X_442)) |
% 10.04/10.19 greater_equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.19 '==>'(X_442, add('==>'(0, h(0)), X_442)))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_3 :
% 10.04/10.19 [bind(X5, $fot(X_442)),
% 10.04/10.19 bind(X6, $fot(add(h(0), '==>'(0, h(0))))),
% 10.04/10.19 bind(X7, $fot(add('==>'(0, h(0)), X_442)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_348, plain,
% 10.04/10.19 (greater_equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.19 '==>'(X_442, add('==>'(0, h(0)), X_442)))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal(add(X_442, add(h(0), '==>'(0, h(0)))),
% 10.04/10.19 add('==>'(0, h(0)), X_442)))],
% 10.04/10.19 [refute_0_346, refute_0_347])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_349, plain,
% 10.04/10.19 (greater_equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.19 '==>'('==>'(h(0), 1), add('==>'(0, h(0)), '==>'(h(0), 1))))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_348 : [bind(X_442, $fot('==>'(h(0), 1)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_350, plain,
% 10.04/10.19 (1 = add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1)))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_280 : [bind(X_20, $fot('==>'(X_19, 0)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_351, plain,
% 10.04/10.19 (add('==>'(0, X_19), '==>'(X_19, 1)) =
% 10.04/10.19 add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1)))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_118 :
% 10.04/10.19 [bind(X_14, $fot(X_19)),
% 10.04/10.19 bind(X_16, $fot('==>'(X_19, 1)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_352, plain,
% 10.04/10.19 (add('==>'(0, X_19), '==>'(X_19, 1)) !=
% 10.04/10.19 add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1))) |
% 10.04/10.19 add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1))) =
% 10.04/10.19 add('==>'(0, X_19), '==>'(X_19, 1))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_15 :
% 10.04/10.19 [bind(X, $fot(add('==>'(0, X_19), '==>'(X_19, 1)))),
% 10.04/10.19 bind(Y,
% 10.04/10.19 $fot(add(X_19,
% 10.04/10.19 add('==>'(X_19, 0), '==>'(X_19, 1)))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_353, plain,
% 10.04/10.19 (add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1))) =
% 10.04/10.19 add('==>'(0, X_19), '==>'(X_19, 1))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add('==>'(0, X_19), '==>'(X_19, 1)),
% 10.04/10.19 add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1)))))],
% 10.04/10.19 [refute_0_351, refute_0_352])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_354, plain,
% 10.04/10.19 (add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1))) !=
% 10.04/10.19 add('==>'(0, X_19), '==>'(X_19, 1)) |
% 10.04/10.19 1 != add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1))) |
% 10.04/10.19 1 = add('==>'(0, X_19), '==>'(X_19, 1))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf($equal(1,
% 10.04/10.19 add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1))))),
% 10.04/10.19 [1], $fot(add('==>'(0, X_19), '==>'(X_19, 1)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_355, plain,
% 10.04/10.19 (1 != add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1))) |
% 10.04/10.19 1 = add('==>'(0, X_19), '==>'(X_19, 1))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1))),
% 10.04/10.19 add('==>'(0, X_19), '==>'(X_19, 1))))],
% 10.04/10.19 [refute_0_353, refute_0_354])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_356, plain, (1 = add('==>'(0, X_19), '==>'(X_19, 1))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(1,
% 10.04/10.19 add(X_19, add('==>'(X_19, 0), '==>'(X_19, 1)))))],
% 10.04/10.19 [refute_0_350, refute_0_355])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_357, plain, (1 = add('==>'(0, h(0)), '==>'(h(0), 1))),
% 10.04/10.19 inference(subst, [], [refute_0_356 : [bind(X_19, $fot(h(0)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_358, plain,
% 10.04/10.19 (1 != add('==>'(0, h(0)), '==>'(h(0), 1)) |
% 10.04/10.19 add('==>'(0, h(0)), '==>'(h(0), 1)) = 1),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_15 :
% 10.04/10.19 [bind(X, $fot(1)),
% 10.04/10.19 bind(Y, $fot(add('==>'(0, h(0)), '==>'(h(0), 1))))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_359, plain, (add('==>'(0, h(0)), '==>'(h(0), 1)) = 1),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(1, add('==>'(0, h(0)), '==>'(h(0), 1))))],
% 10.04/10.19 [refute_0_357, refute_0_358])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_360, plain,
% 10.04/10.19 (add('==>'(0, h(0)), '==>'(h(0), 1)) != 1 |
% 10.04/10.19 ~
% 10.04/10.19 greater_equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.19 '==>'('==>'(h(0), 1), add('==>'(0, h(0)), '==>'(h(0), 1)))) |
% 10.04/10.19 greater_equal(add(h(0), '==>'(0, h(0))), '==>'('==>'(h(0), 1), 1))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf(greater_equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.19 '==>'('==>'(h(0), 1),
% 10.04/10.19 add('==>'(0, h(0)), '==>'(h(0), 1))))), [1, 1],
% 10.04/10.19 $fot(1)]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_361, plain,
% 10.04/10.19 (~
% 10.04/10.19 greater_equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.19 '==>'('==>'(h(0), 1), add('==>'(0, h(0)), '==>'(h(0), 1)))) |
% 10.04/10.19 greater_equal(add(h(0), '==>'(0, h(0))), '==>'('==>'(h(0), 1), 1))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add('==>'(0, h(0)), '==>'(h(0), 1)), 1))],
% 10.04/10.19 [refute_0_359, refute_0_360])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_362, plain,
% 10.04/10.19 (greater_equal(add(h(0), '==>'(0, h(0))), '==>'('==>'(h(0), 1), 1))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.19 '==>'('==>'(h(0), 1),
% 10.04/10.19 add('==>'(0, h(0)), '==>'(h(0), 1)))))],
% 10.04/10.19 [refute_0_349, refute_0_361])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_363, plain,
% 10.04/10.19 (~ greater_equal(add(h(0), '==>'(0, h(0))), '==>'('==>'(h(0), 1), 1)) |
% 10.04/10.19 ~ greater_equal('==>'('==>'(h(0), 1), 1), add(h(0), '==>'(0, h(0)))) |
% 10.04/10.19 add(h(0), '==>'(0, h(0))) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_75 :
% 10.04/10.19 [bind(X3, $fot(add(h(0), '==>'(0, h(0))))),
% 10.04/10.19 bind(X4, $fot('==>'('==>'(h(0), 1), 1)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_364, plain,
% 10.04/10.19 (~ greater_equal('==>'('==>'(h(0), 1), 1), add(h(0), '==>'(0, h(0)))) |
% 10.04/10.19 add(h(0), '==>'(0, h(0))) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf(greater_equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.19 '==>'('==>'(h(0), 1), 1)))],
% 10.04/10.19 [refute_0_362, refute_0_363])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_365, plain,
% 10.04/10.19 (greater_equal(add(h(0), add(h(0), X_16)), add(h(0), X_16))),
% 10.04/10.19 inference(subst, [],
% 10.04/10.19 [refute_0_85 :
% 10.04/10.19 [bind(X_159, $fot(add(h(0), X_16))),
% 10.04/10.19 bind(X_160, $fot(h(0)))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_366, plain,
% 10.04/10.19 (add(h(0), add(h(0), X_16)) != add('==>'(0, h(0)), X_16) |
% 10.04/10.19 ~ greater_equal(add(h(0), add(h(0), X_16)), add(h(0), X_16)) |
% 10.04/10.19 greater_equal(add('==>'(0, h(0)), X_16), add(h(0), X_16))),
% 10.04/10.19 introduced(tautology,
% 10.04/10.19 [equality,
% 10.04/10.19 [$cnf(greater_equal(add(h(0), add(h(0), X_16)),
% 10.04/10.19 add(h(0), X_16))), [0],
% 10.04/10.19 $fot(add('==>'(0, h(0)), X_16))]])).
% 10.04/10.19
% 10.04/10.19 cnf(refute_0_367, plain,
% 10.04/10.19 (~ greater_equal(add(h(0), add(h(0), X_16)), add(h(0), X_16)) |
% 10.04/10.19 greater_equal(add('==>'(0, h(0)), X_16), add(h(0), X_16))),
% 10.04/10.19 inference(resolve,
% 10.04/10.19 [$cnf($equal(add(h(0), add(h(0), X_16)),
% 10.04/10.19 add('==>'(0, h(0)), X_16)))],
% 10.04/10.19 [refute_0_230, refute_0_366])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_368, plain,
% 10.04/10.20 (greater_equal(add('==>'(0, h(0)), X_16), add(h(0), X_16))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(h(0), add(h(0), X_16)),
% 10.04/10.20 add(h(0), X_16)))], [refute_0_365, refute_0_367])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_369, plain,
% 10.04/10.20 (greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(h(0), add(X_14, h(0))))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_368 : [bind(X_16, $fot(add(X_14, h(0))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_370, plain,
% 10.04/10.20 (add(h(0), add(X_14, h(0))) != add(X_14, '==>'(0, h(0))) |
% 10.04/10.20 ~
% 10.04/10.20 greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(h(0), add(X_14, h(0)))) |
% 10.04/10.20 greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(X_14, '==>'(0, h(0))))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(h(0), add(X_14, h(0))))), [1],
% 10.04/10.20 $fot(add(X_14, '==>'(0, h(0))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_371, plain,
% 10.04/10.20 (~
% 10.04/10.20 greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(h(0), add(X_14, h(0)))) |
% 10.04/10.20 greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(X_14, '==>'(0, h(0))))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), add(X_14, h(0))),
% 10.04/10.20 add(X_14, '==>'(0, h(0)))))],
% 10.04/10.20 [refute_0_198, refute_0_370])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_372, plain,
% 10.04/10.20 (greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(X_14, '==>'(0, h(0))))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(h(0), add(X_14, h(0)))))],
% 10.04/10.20 [refute_0_369, refute_0_371])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_373, plain,
% 10.04/10.20 (add(A, add(X_14, X_15)) = add(add(X_14, X_15), A)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_60 : [bind(B, $fot(add(X_14, X_15)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_374, plain,
% 10.04/10.20 (add(add(X_14, X_15), A) = add(X_14, add(X_15, A))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_113 :
% 10.04/10.20 [bind(A, $fot(X_14)), bind(B, $fot(X_15)),
% 10.04/10.20 bind(C, $fot(A))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_375, plain,
% 10.04/10.20 (add(A, add(X_14, X_15)) != add(add(X_14, X_15), A) |
% 10.04/10.20 add(add(X_14, X_15), A) != add(X_14, add(X_15, A)) |
% 10.04/10.20 add(A, add(X_14, X_15)) = add(X_14, add(X_15, A))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(~ $equal(add(A, add(X_14, X_15)),
% 10.04/10.20 add(X_14, add(X_15, A)))), [0],
% 10.04/10.20 $fot(add(add(X_14, X_15), A))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_376, plain,
% 10.04/10.20 (add(A, add(X_14, X_15)) != add(add(X_14, X_15), A) |
% 10.04/10.20 add(A, add(X_14, X_15)) = add(X_14, add(X_15, A))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(add(X_14, X_15), A),
% 10.04/10.20 add(X_14, add(X_15, A))))],
% 10.04/10.20 [refute_0_374, refute_0_375])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_377, plain,
% 10.04/10.20 (add(A, add(X_14, X_15)) = add(X_14, add(X_15, A))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(A, add(X_14, X_15)),
% 10.04/10.20 add(add(X_14, X_15), A)))],
% 10.04/10.20 [refute_0_373, refute_0_376])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_378, plain,
% 10.04/10.20 (add(A, add(X_14, X_15)) != add(X_14, add(X_15, A)) |
% 10.04/10.20 add(X_14, add(X_15, A)) = add(A, add(X_14, X_15))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_15 :
% 10.04/10.20 [bind(X, $fot(add(A, add(X_14, X_15)))),
% 10.04/10.20 bind(Y, $fot(add(X_14, add(X_15, A))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_379, plain,
% 10.04/10.20 (add(X_14, add(X_15, A)) = add(A, add(X_14, X_15))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(A, add(X_14, X_15)),
% 10.04/10.20 add(X_14, add(X_15, A))))],
% 10.04/10.20 [refute_0_377, refute_0_378])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_380, plain,
% 10.04/10.20 (add('==>'(0, h(0)), add(X_14, h(0))) =
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_379 :
% 10.04/10.20 [bind(A, $fot(h(0))), bind(X_14, $fot('==>'(0, h(0)))),
% 10.04/10.20 bind(X_15, $fot(X_14))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_381, plain,
% 10.04/10.20 (add('==>'(0, h(0)), add(X_14, h(0))) !=
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) |
% 10.04/10.20 ~
% 10.04/10.20 greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(X_14, '==>'(0, h(0)))) |
% 10.04/10.20 greater_equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(X_14, '==>'(0, h(0))))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(X_14, '==>'(0, h(0))))), [0],
% 10.04/10.20 $fot(add(h(0), add('==>'(0, h(0)), X_14)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_382, plain,
% 10.04/10.20 (~
% 10.04/10.20 greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(X_14, '==>'(0, h(0)))) |
% 10.04/10.20 greater_equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(X_14, '==>'(0, h(0))))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14))))],
% 10.04/10.20 [refute_0_380, refute_0_381])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_383, plain,
% 10.04/10.20 (greater_equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(X_14, '==>'(0, h(0))))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add('==>'(0, h(0)), add(X_14, h(0))),
% 10.04/10.20 add(X_14, '==>'(0, h(0)))))],
% 10.04/10.20 [refute_0_372, refute_0_382])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_384, plain,
% 10.04/10.20 (~
% 10.04/10.20 greater_equal(add(X_14, '==>'(0, h(0))),
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14))) |
% 10.04/10.20 ~
% 10.04/10.20 greater_equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(X_14, '==>'(0, h(0)))) |
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) = add(X_14, '==>'(0, h(0)))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_75 :
% 10.04/10.20 [bind(X3, $fot(add(h(0), add('==>'(0, h(0)), X_14)))),
% 10.04/10.20 bind(X4, $fot(add(X_14, '==>'(0, h(0)))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_385, plain,
% 10.04/10.20 (~
% 10.04/10.20 greater_equal(add(X_14, '==>'(0, h(0))),
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14))) |
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) = add(X_14, '==>'(0, h(0)))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(X_14, '==>'(0, h(0)))))],
% 10.04/10.20 [refute_0_383, refute_0_384])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_386, plain, (greater_equal(add(add(A, B), X_166), add(A, B))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_92 :
% 10.04/10.20 [bind(X_162, $fot(add(A, B))), bind(X_163, $fot(X_166))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_387, plain, (add(add(A, B), X_166) = add(A, add(B, X_166))),
% 10.04/10.20 inference(subst, [], [refute_0_113 : [bind(C, $fot(X_166))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_388, plain,
% 10.04/10.20 (add(add(A, B), X_166) != add(A, add(B, X_166)) |
% 10.04/10.20 ~ greater_equal(add(add(A, B), X_166), add(A, B)) |
% 10.04/10.20 greater_equal(add(A, add(B, X_166)), add(A, B))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(greater_equal(add(add(A, B), X_166), add(A, B))),
% 10.04/10.20 [0], $fot(add(A, add(B, X_166)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_389, plain,
% 10.04/10.20 (~ greater_equal(add(add(A, B), X_166), add(A, B)) |
% 10.04/10.20 greater_equal(add(A, add(B, X_166)), add(A, B))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(add(A, B), X_166), add(A, add(B, X_166))))],
% 10.04/10.20 [refute_0_387, refute_0_388])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_390, plain, (greater_equal(add(A, add(B, X_166)), add(A, B))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(add(A, B), X_166), add(A, B)))],
% 10.04/10.20 [refute_0_386, refute_0_389])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_391, plain,
% 10.04/10.20 (greater_equal(add(X_334, add(X_335, '==>'(X_334, 0))),
% 10.04/10.20 add(X_334, X_335))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_390 :
% 10.04/10.20 [bind(A, $fot(X_334)), bind(B, $fot(X_335)),
% 10.04/10.20 bind(X_166, $fot('==>'(X_334, 0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_392, plain,
% 10.04/10.20 (add('==>'(0, X_63), X_64) = add(X_63, add('==>'(X_63, 0), X_64))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_118 :
% 10.04/10.20 [bind(X_14, $fot(X_63)), bind(X_16, $fot(X_64))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_393, plain,
% 10.04/10.20 (add(X_64, '==>'(X_63, 0)) = add('==>'(X_63, 0), X_64)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_60 :
% 10.04/10.20 [bind(A, $fot(X_64)), bind(B, $fot('==>'(X_63, 0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_394, plain,
% 10.04/10.20 (add(X_64, '==>'(X_63, 0)) != add('==>'(X_63, 0), X_64) |
% 10.04/10.20 add('==>'(X_63, 0), X_64) = add(X_64, '==>'(X_63, 0))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_15 :
% 10.04/10.20 [bind(X, $fot(add(X_64, '==>'(X_63, 0)))),
% 10.04/10.20 bind(Y, $fot(add('==>'(X_63, 0), X_64)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_395, plain,
% 10.04/10.20 (add('==>'(X_63, 0), X_64) = add(X_64, '==>'(X_63, 0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(X_64, '==>'(X_63, 0)),
% 10.04/10.20 add('==>'(X_63, 0), X_64)))],
% 10.04/10.20 [refute_0_393, refute_0_394])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_396, plain,
% 10.04/10.20 (add('==>'(X_63, 0), X_64) != add(X_64, '==>'(X_63, 0)) |
% 10.04/10.20 add('==>'(0, X_63), X_64) != add(X_63, add('==>'(X_63, 0), X_64)) |
% 10.04/10.20 add('==>'(0, X_63), X_64) = add(X_63, add(X_64, '==>'(X_63, 0)))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf($equal(add('==>'(0, X_63), X_64),
% 10.04/10.20 add(X_63, add('==>'(X_63, 0), X_64)))), [1, 1],
% 10.04/10.20 $fot(add(X_64, '==>'(X_63, 0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_397, plain,
% 10.04/10.20 (add('==>'(0, X_63), X_64) != add(X_63, add('==>'(X_63, 0), X_64)) |
% 10.04/10.20 add('==>'(0, X_63), X_64) = add(X_63, add(X_64, '==>'(X_63, 0)))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add('==>'(X_63, 0), X_64),
% 10.04/10.20 add(X_64, '==>'(X_63, 0))))],
% 10.04/10.20 [refute_0_395, refute_0_396])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_398, plain,
% 10.04/10.20 (add('==>'(0, X_63), X_64) = add(X_63, add(X_64, '==>'(X_63, 0)))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add('==>'(0, X_63), X_64),
% 10.04/10.20 add(X_63, add('==>'(X_63, 0), X_64))))],
% 10.04/10.20 [refute_0_392, refute_0_397])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_399, plain,
% 10.04/10.20 (add('==>'(0, X_334), X_335) =
% 10.04/10.20 add(X_334, add(X_335, '==>'(X_334, 0)))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_398 :
% 10.04/10.20 [bind(X_63, $fot(X_334)), bind(X_64, $fot(X_335))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_400, plain,
% 10.04/10.20 (add('==>'(0, X_334), X_335) !=
% 10.04/10.20 add(X_334, add(X_335, '==>'(X_334, 0))) |
% 10.04/10.20 add(X_334, add(X_335, '==>'(X_334, 0))) =
% 10.04/10.20 add('==>'(0, X_334), X_335)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_15 :
% 10.04/10.20 [bind(X, $fot(add('==>'(0, X_334), X_335))),
% 10.04/10.20 bind(Y, $fot(add(X_334, add(X_335, '==>'(X_334, 0)))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_401, plain,
% 10.04/10.20 (add(X_334, add(X_335, '==>'(X_334, 0))) =
% 10.04/10.20 add('==>'(0, X_334), X_335)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add('==>'(0, X_334), X_335),
% 10.04/10.20 add(X_334, add(X_335, '==>'(X_334, 0)))))],
% 10.04/10.20 [refute_0_399, refute_0_400])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_402, plain,
% 10.04/10.20 (add(X_334, add(X_335, '==>'(X_334, 0))) !=
% 10.04/10.20 add('==>'(0, X_334), X_335) |
% 10.04/10.20 ~
% 10.04/10.20 greater_equal(add(X_334, add(X_335, '==>'(X_334, 0))),
% 10.04/10.20 add(X_334, X_335)) |
% 10.04/10.20 greater_equal(add('==>'(0, X_334), X_335), add(X_334, X_335))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(greater_equal(add(X_334,
% 10.04/10.20 add(X_335, '==>'(X_334, 0))),
% 10.04/10.20 add(X_334, X_335))), [0],
% 10.04/10.20 $fot(add('==>'(0, X_334), X_335))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_403, plain,
% 10.04/10.20 (~
% 10.04/10.20 greater_equal(add(X_334, add(X_335, '==>'(X_334, 0))),
% 10.04/10.20 add(X_334, X_335)) |
% 10.04/10.20 greater_equal(add('==>'(0, X_334), X_335), add(X_334, X_335))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(X_334, add(X_335, '==>'(X_334, 0))),
% 10.04/10.20 add('==>'(0, X_334), X_335)))],
% 10.04/10.20 [refute_0_401, refute_0_402])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_404, plain,
% 10.04/10.20 (greater_equal(add('==>'(0, X_334), X_335), add(X_334, X_335))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_334, add(X_335, '==>'(X_334, 0))),
% 10.04/10.20 add(X_334, X_335)))], [refute_0_391, refute_0_403])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_405, plain,
% 10.04/10.20 (~ greater_equal(add(X_334, X_335), add('==>'(0, X_334), X_335)) |
% 10.04/10.20 ~ greater_equal(add('==>'(0, X_334), X_335), add(X_334, X_335)) |
% 10.04/10.20 add('==>'(0, X_334), X_335) = add(X_334, X_335)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_75 :
% 10.04/10.20 [bind(X3, $fot(add('==>'(0, X_334), X_335))),
% 10.04/10.20 bind(X4, $fot(add(X_334, X_335)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_406, plain,
% 10.04/10.20 (~ greater_equal(add(X_334, X_335), add('==>'(0, X_334), X_335)) |
% 10.04/10.20 add('==>'(0, X_334), X_335) = add(X_334, X_335)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add('==>'(0, X_334), X_335),
% 10.04/10.20 add(X_334, X_335)))], [refute_0_404, refute_0_405])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_407, plain,
% 10.04/10.20 (~ greater_equal(X_446, '==>'(X_445, X_446)) |
% 10.04/10.20 greater_equal(add(X_446, X10), add('==>'(X_445, X_446), X10))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_1 :
% 10.04/10.20 [bind(X8, $fot(X_446)),
% 10.04/10.20 bind(X9, $fot('==>'(X_445, X_446)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_408, plain, (greater_equal(X_446, '==>'(X_445, X_446))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_174 :
% 10.04/10.20 [bind(X_442, $fot(X_445)), bind(X_444, $fot(X_446))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_409, plain,
% 10.04/10.20 (greater_equal(add(X_446, X10), add('==>'(X_445, X_446), X10))),
% 10.04/10.20 inference(resolve, [$cnf(greater_equal(X_446, '==>'(X_445, X_446)))],
% 10.04/10.20 [refute_0_408, refute_0_407])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_410, plain,
% 10.04/10.20 (greater_equal(add(X_334, X_335), add('==>'(0, X_334), X_335))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_409 :
% 10.04/10.20 [bind(X10, $fot(X_335)), bind(X_445, $fot(0)),
% 10.04/10.20 bind(X_446, $fot(X_334))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_411, plain, (add('==>'(0, X_334), X_335) = add(X_334, X_335)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_334, X_335),
% 10.04/10.20 add('==>'(0, X_334), X_335)))],
% 10.04/10.20 [refute_0_410, refute_0_406])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_412, plain, (add('==>'(0, h(0)), X_14) = add(h(0), X_14)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_411 :
% 10.04/10.20 [bind(X_334, $fot(h(0))), bind(X_335, $fot(X_14))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_413, plain,
% 10.04/10.20 (add(h(0), add(h(0), X_14)) = add('==>'(0, h(0)), X_14)),
% 10.04/10.20 inference(subst, [], [refute_0_230 : [bind(X_16, $fot(X_14))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_414, plain,
% 10.04/10.20 (add('==>'(0, h(0)), X_14) != add(h(0), X_14) |
% 10.04/10.20 add(h(0), add(h(0), X_14)) != add('==>'(0, h(0)), X_14) |
% 10.04/10.20 add(h(0), add(h(0), X_14)) = add(h(0), X_14)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_184 :
% 10.04/10.20 [bind(X, $fot(add(h(0), add(h(0), X_14)))),
% 10.04/10.20 bind(Y, $fot(add('==>'(0, h(0)), X_14))),
% 10.04/10.20 bind(Z, $fot(add(h(0), X_14)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_415, plain,
% 10.04/10.20 (add('==>'(0, h(0)), X_14) != add(h(0), X_14) |
% 10.04/10.20 add(h(0), add(h(0), X_14)) = add(h(0), X_14)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), add(h(0), X_14)),
% 10.04/10.20 add('==>'(0, h(0)), X_14)))],
% 10.04/10.20 [refute_0_413, refute_0_414])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_416, plain, (add(h(0), add(h(0), X_14)) = add(h(0), X_14)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add('==>'(0, h(0)), X_14), add(h(0), X_14)))],
% 10.04/10.20 [refute_0_412, refute_0_415])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_417, plain,
% 10.04/10.20 (add(h(0), add('==>'(0, h(0)), X_14)) =
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [refl, [$fot(add(h(0), add('==>'(0, h(0)), X_14)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_418, plain,
% 10.04/10.20 (add('==>'(0, h(0)), X_14) != add(h(0), X_14) |
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) !=
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) |
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) = add(h(0), add(h(0), X_14))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf($equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)))), [1, 1],
% 10.04/10.20 $fot(add(h(0), X_14))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_419, plain,
% 10.04/10.20 (add('==>'(0, h(0)), X_14) != add(h(0), X_14) |
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) = add(h(0), add(h(0), X_14))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14))))],
% 10.04/10.20 [refute_0_417, refute_0_418])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_420, plain,
% 10.04/10.20 (add(h(0), add('==>'(0, h(0)), X_14)) = add(h(0), add(h(0), X_14))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add('==>'(0, h(0)), X_14), add(h(0), X_14)))],
% 10.04/10.20 [refute_0_412, refute_0_419])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_421, plain,
% 10.04/10.20 (add(h(0), add('==>'(0, h(0)), X_14)) != add(h(0), add(h(0), X_14)) |
% 10.04/10.20 add(h(0), add(h(0), X_14)) != add(h(0), X_14) |
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) = add(h(0), X_14)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_184 :
% 10.04/10.20 [bind(X, $fot(add(h(0), add('==>'(0, h(0)), X_14)))),
% 10.04/10.20 bind(Y, $fot(add(h(0), add(h(0), X_14)))),
% 10.04/10.20 bind(Z, $fot(add(h(0), X_14)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_422, plain,
% 10.04/10.20 (add(h(0), add(h(0), X_14)) != add(h(0), X_14) |
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) = add(h(0), X_14)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(h(0), add(h(0), X_14))))],
% 10.04/10.20 [refute_0_420, refute_0_421])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_423, plain,
% 10.04/10.20 (add(h(0), add('==>'(0, h(0)), X_14)) = add(h(0), X_14)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), add(h(0), X_14)), add(h(0), X_14)))],
% 10.04/10.20 [refute_0_416, refute_0_422])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_424, plain,
% 10.04/10.20 (add(h(0), add('==>'(0, h(0)), X_14)) != add(h(0), X_14) |
% 10.04/10.20 ~ greater_equal(add(X_14, '==>'(0, h(0))), add(h(0), X_14)) |
% 10.04/10.20 greater_equal(add(X_14, '==>'(0, h(0))),
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(~ greater_equal(add(X_14, '==>'(0, h(0))),
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)))), [1],
% 10.04/10.20 $fot(add(h(0), X_14))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_425, plain,
% 10.04/10.20 (~ greater_equal(add(X_14, '==>'(0, h(0))), add(h(0), X_14)) |
% 10.04/10.20 greater_equal(add(X_14, '==>'(0, h(0))),
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(h(0), X_14)))], [refute_0_423, refute_0_424])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_426, plain,
% 10.04/10.20 (~ greater_equal(add(X_14, '==>'(0, h(0))), add(h(0), X_14)) |
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) = add(X_14, '==>'(0, h(0)))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_14, '==>'(0, h(0))),
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14))))],
% 10.04/10.20 [refute_0_425, refute_0_385])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_427, plain,
% 10.04/10.20 (add(h(0), add('==>'(0, h(0)), X_14)) != add(X_14, '==>'(0, h(0))) |
% 10.04/10.20 add(h(0), add('==>'(0, h(0)), X_14)) != add(h(0), X_14) |
% 10.04/10.20 add(h(0), X_14) = add(X_14, '==>'(0, h(0)))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf($equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(X_14, '==>'(0, h(0))))), [0],
% 10.04/10.20 $fot(add(h(0), X_14))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_428, plain,
% 10.04/10.20 (add(h(0), add('==>'(0, h(0)), X_14)) != add(X_14, '==>'(0, h(0))) |
% 10.04/10.20 add(h(0), X_14) = add(X_14, '==>'(0, h(0)))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(h(0), X_14)))], [refute_0_423, refute_0_427])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_429, plain,
% 10.04/10.20 (~ greater_equal(add(X_14, '==>'(0, h(0))), add(h(0), X_14)) |
% 10.04/10.20 add(h(0), X_14) = add(X_14, '==>'(0, h(0)))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), add('==>'(0, h(0)), X_14)),
% 10.04/10.20 add(X_14, '==>'(0, h(0)))))],
% 10.04/10.20 [refute_0_426, refute_0_428])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_430, plain,
% 10.04/10.20 (~ greater_equal(X_452, h(0)) |
% 10.04/10.20 greater_equal(add(X_452, X10), add(h(0), X10))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_1 :
% 10.04/10.20 [bind(X8, $fot(X_452)), bind(X9, $fot(h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_431, plain, (greater_equal(X_452, h(0))),
% 10.04/10.20 inference(subst, [], [refute_0_20 : [bind(X_451, $fot(X_452))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_432, plain, (greater_equal(add(X_452, X10), add(h(0), X10))),
% 10.04/10.20 inference(resolve, [$cnf(greater_equal(X_452, h(0)))],
% 10.04/10.20 [refute_0_431, refute_0_430])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_433, plain,
% 10.04/10.20 (greater_equal(add(X_578, X_577), add(h(0), X_577))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_432 :
% 10.04/10.20 [bind(X10, $fot(X_577)), bind(X_452, $fot(X_578))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_434, plain, (add(X_577, X_578) = add(X_578, X_577)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_60 :
% 10.04/10.20 [bind(A, $fot(X_577)), bind(B, $fot(X_578))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_435, plain,
% 10.04/10.20 (add(X_577, X_578) != add(X_578, X_577) |
% 10.04/10.20 add(X_578, X_577) = add(X_577, X_578)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_15 :
% 10.04/10.20 [bind(X, $fot(add(X_577, X_578))),
% 10.04/10.20 bind(Y, $fot(add(X_578, X_577)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_436, plain, (add(X_578, X_577) = add(X_577, X_578)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(X_577, X_578), add(X_578, X_577)))],
% 10.04/10.20 [refute_0_434, refute_0_435])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_437, plain,
% 10.04/10.20 (add(X_578, X_577) != add(X_577, X_578) |
% 10.04/10.20 ~ greater_equal(add(X_578, X_577), add(h(0), X_577)) |
% 10.04/10.20 greater_equal(add(X_577, X_578), add(h(0), X_577))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(greater_equal(add(X_578, X_577), add(h(0), X_577))),
% 10.04/10.20 [0], $fot(add(X_577, X_578))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_438, plain,
% 10.04/10.20 (~ greater_equal(add(X_578, X_577), add(h(0), X_577)) |
% 10.04/10.20 greater_equal(add(X_577, X_578), add(h(0), X_577))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(X_578, X_577), add(X_577, X_578)))],
% 10.04/10.20 [refute_0_436, refute_0_437])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_439, plain,
% 10.04/10.20 (greater_equal(add(X_577, X_578), add(h(0), X_577))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_578, X_577), add(h(0), X_577)))],
% 10.04/10.20 [refute_0_433, refute_0_438])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_440, plain,
% 10.04/10.20 (greater_equal(add(X_14, '==>'(0, h(0))), add(h(0), X_14))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_439 :
% 10.04/10.20 [bind(X_577, $fot(X_14)),
% 10.04/10.20 bind(X_578, $fot('==>'(0, h(0))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_441, plain, (add(h(0), X_14) = add(X_14, '==>'(0, h(0)))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_14, '==>'(0, h(0))),
% 10.04/10.20 add(h(0), X_14)))], [refute_0_440, refute_0_429])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_442, plain,
% 10.04/10.20 (add(h(0), X_14) != add(X_14, '==>'(0, h(0))) |
% 10.04/10.20 add(X_14, '==>'(0, h(0))) = add(h(0), X_14)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_15 :
% 10.04/10.20 [bind(X, $fot(add(h(0), X_14))),
% 10.04/10.20 bind(Y, $fot(add(X_14, '==>'(0, h(0)))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_443, plain, (add(X_14, '==>'(0, h(0))) = add(h(0), X_14)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), X_14), add(X_14, '==>'(0, h(0)))))],
% 10.04/10.20 [refute_0_441, refute_0_442])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_444, plain, (add(h(0), '==>'(0, h(0))) = add(h(0), h(0))),
% 10.04/10.20 inference(subst, [], [refute_0_443 : [bind(X_14, $fot(h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_445, plain,
% 10.04/10.20 (add(h(0), '==>'(0, h(0))) != add(h(0), h(0)) |
% 10.04/10.20 add(h(0), h(0)) != '==>'(0, h(0)) |
% 10.04/10.20 add(h(0), '==>'(0, h(0))) = '==>'(0, h(0))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_184 :
% 10.04/10.20 [bind(X, $fot(add(h(0), '==>'(0, h(0))))),
% 10.04/10.20 bind(Y, $fot(add(h(0), h(0)))),
% 10.04/10.20 bind(Z, $fot('==>'(0, h(0))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_446, plain,
% 10.04/10.20 (add(h(0), h(0)) != '==>'(0, h(0)) |
% 10.04/10.20 add(h(0), '==>'(0, h(0))) = '==>'(0, h(0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), '==>'(0, h(0))), add(h(0), h(0))))],
% 10.04/10.20 [refute_0_444, refute_0_445])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_447, plain, (add(h(0), '==>'(0, h(0))) = '==>'(0, h(0))),
% 10.04/10.20 inference(resolve, [$cnf($equal(add(h(0), h(0)), '==>'(0, h(0))))],
% 10.04/10.20 [refute_0_148, refute_0_446])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_448, plain,
% 10.04/10.20 (add(h(0), '==>'(0, h(0))) != '==>'(0, h(0)) |
% 10.04/10.20 ~ greater_equal('==>'('==>'(h(0), 1), 1), '==>'(0, h(0))) |
% 10.04/10.20 greater_equal('==>'('==>'(h(0), 1), 1), add(h(0), '==>'(0, h(0))))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(~ greater_equal('==>'('==>'(h(0), 1), 1),
% 10.04/10.20 add(h(0), '==>'(0, h(0))))), [1],
% 10.04/10.20 $fot('==>'(0, h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_449, plain,
% 10.04/10.20 (~ greater_equal('==>'('==>'(h(0), 1), 1), '==>'(0, h(0))) |
% 10.04/10.20 greater_equal('==>'('==>'(h(0), 1), 1), add(h(0), '==>'(0, h(0))))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), '==>'(0, h(0))), '==>'(0, h(0))))],
% 10.04/10.20 [refute_0_447, refute_0_448])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_450, plain,
% 10.04/10.20 (~ greater_equal('==>'('==>'(h(0), 1), 1), '==>'(0, h(0))) |
% 10.04/10.20 add(h(0), '==>'(0, h(0))) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal('==>'('==>'(h(0), 1), 1),
% 10.04/10.20 add(h(0), '==>'(0, h(0)))))],
% 10.04/10.20 [refute_0_449, refute_0_364])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_451, plain,
% 10.04/10.20 (add(h(0), '==>'(0, h(0))) != '==>'(0, h(0)) |
% 10.04/10.20 add(h(0), '==>'(0, h(0))) != '==>'('==>'(h(0), 1), 1) |
% 10.04/10.20 '==>'(0, h(0)) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf($equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.20 '==>'('==>'(h(0), 1), 1))), [0],
% 10.04/10.20 $fot('==>'(0, h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_452, plain,
% 10.04/10.20 (add(h(0), '==>'(0, h(0))) != '==>'('==>'(h(0), 1), 1) |
% 10.04/10.20 '==>'(0, h(0)) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), '==>'(0, h(0))), '==>'(0, h(0))))],
% 10.04/10.20 [refute_0_447, refute_0_451])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_453, plain,
% 10.04/10.20 (~ greater_equal('==>'('==>'(h(0), 1), 1), '==>'(0, h(0))) |
% 10.04/10.20 '==>'(0, h(0)) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(h(0), '==>'(0, h(0))),
% 10.04/10.20 '==>'('==>'(h(0), 1), 1)))],
% 10.04/10.20 [refute_0_450, refute_0_452])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_454, plain,
% 10.04/10.20 (~ greater_equal(add(X_647, X_646), h(X_647)) |
% 10.04/10.20 greater_equal(X_646, '==>'(X_647, h(X_647)))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_3 :
% 10.04/10.20 [bind(X5, $fot(X_647)), bind(X6, $fot(X_646)),
% 10.04/10.20 bind(X7, $fot(h(X_647)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_455, plain, (greater_equal(add(add(A, B), X_162), X_162)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_85 :
% 10.04/10.20 [bind(X_159, $fot(X_162)), bind(X_160, $fot(add(A, B)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_456, plain, (add(add(A, B), X_162) = add(A, add(B, X_162))),
% 10.04/10.20 inference(subst, [], [refute_0_113 : [bind(C, $fot(X_162))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_457, plain,
% 10.04/10.20 (add(add(A, B), X_162) != add(A, add(B, X_162)) |
% 10.04/10.20 ~ greater_equal(add(add(A, B), X_162), X_162) |
% 10.04/10.20 greater_equal(add(A, add(B, X_162)), X_162)),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(greater_equal(add(add(A, B), X_162), X_162)), [0],
% 10.04/10.20 $fot(add(A, add(B, X_162)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_458, plain,
% 10.04/10.20 (~ greater_equal(add(add(A, B), X_162), X_162) |
% 10.04/10.20 greater_equal(add(A, add(B, X_162)), X_162)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(add(A, B), X_162), add(A, add(B, X_162))))],
% 10.04/10.20 [refute_0_456, refute_0_457])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_459, plain, (greater_equal(add(A, add(B, X_162)), X_162)),
% 10.04/10.20 inference(resolve, [$cnf(greater_equal(add(add(A, B), X_162), X_162))],
% 10.04/10.20 [refute_0_455, refute_0_458])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_460, plain,
% 10.04/10.20 (greater_equal(add(X_184, add(X_185, X_186)), X_186)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_459 :
% 10.04/10.20 [bind(A, $fot(X_184)), bind(B, $fot(X_185)),
% 10.04/10.20 bind(X_162, $fot(X_186))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_461, plain, (add(X_186, X_185) = add(X_185, X_186)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_60 :
% 10.04/10.20 [bind(A, $fot(X_186)), bind(B, $fot(X_185))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_462, plain,
% 10.04/10.20 (add(X_186, X_185) != add(X_185, X_186) |
% 10.04/10.20 add(X_185, X_186) = add(X_186, X_185)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_15 :
% 10.04/10.20 [bind(X, $fot(add(X_186, X_185))),
% 10.04/10.20 bind(Y, $fot(add(X_185, X_186)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_463, plain, (add(X_185, X_186) = add(X_186, X_185)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(X_186, X_185), add(X_185, X_186)))],
% 10.04/10.20 [refute_0_461, refute_0_462])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_464, plain,
% 10.04/10.20 (add(X_185, X_186) != add(X_186, X_185) |
% 10.04/10.20 ~ greater_equal(add(X_184, add(X_185, X_186)), X_186) |
% 10.04/10.20 greater_equal(add(X_184, add(X_186, X_185)), X_186)),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(greater_equal(add(X_184, add(X_185, X_186)), X_186)),
% 10.04/10.20 [0, 1], $fot(add(X_186, X_185))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_465, plain,
% 10.04/10.20 (~ greater_equal(add(X_184, add(X_185, X_186)), X_186) |
% 10.04/10.20 greater_equal(add(X_184, add(X_186, X_185)), X_186)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal(add(X_185, X_186), add(X_186, X_185)))],
% 10.04/10.20 [refute_0_463, refute_0_464])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_466, plain,
% 10.04/10.20 (greater_equal(add(X_184, add(X_186, X_185)), X_186)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_184, add(X_185, X_186)), X_186))],
% 10.04/10.20 [refute_0_460, refute_0_465])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_467, plain,
% 10.04/10.20 (greater_equal(add(X_442, add(X_444, X_185)), X_444)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_466 :
% 10.04/10.20 [bind(X_184, $fot(X_442)), bind(X_186, $fot(X_444))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_468, plain,
% 10.04/10.20 (~ greater_equal(add(X_442, add(X_444, X_185)), X_444) |
% 10.04/10.20 greater_equal(add(X_444, X_185), '==>'(X_442, X_444))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_3 :
% 10.04/10.20 [bind(X5, $fot(X_442)), bind(X6, $fot(add(X_444, X_185))),
% 10.04/10.20 bind(X7, $fot(X_444))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_469, plain,
% 10.04/10.20 (greater_equal(add(X_444, X_185), '==>'(X_442, X_444))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_442, add(X_444, X_185)), X_444))],
% 10.04/10.20 [refute_0_467, refute_0_468])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_470, plain,
% 10.04/10.20 (greater_equal(add(X_501, X_499), '==>'(h(X_501), X_501))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_469 :
% 10.04/10.20 [bind(X_185, $fot(X_499)), bind(X_442, $fot(h(X_501))),
% 10.04/10.20 bind(X_444, $fot(X_501))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_471, plain, (h(X_501) = '==>'(h(X_501), X_501)),
% 10.04/10.20 inference(subst, [], [refute_0_11 : [bind(A, $fot(X_501))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_472, plain,
% 10.04/10.20 (h(X_501) != '==>'(h(X_501), X_501) |
% 10.04/10.20 '==>'(h(X_501), X_501) = h(X_501)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_15 :
% 10.04/10.20 [bind(X, $fot(h(X_501))),
% 10.04/10.20 bind(Y, $fot('==>'(h(X_501), X_501)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_473, plain, ('==>'(h(X_501), X_501) = h(X_501)),
% 10.04/10.20 inference(resolve, [$cnf($equal(h(X_501), '==>'(h(X_501), X_501)))],
% 10.04/10.20 [refute_0_471, refute_0_472])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_474, plain,
% 10.04/10.20 ('==>'(h(X_501), X_501) != h(X_501) |
% 10.04/10.20 ~ greater_equal(add(X_501, X_499), '==>'(h(X_501), X_501)) |
% 10.04/10.20 greater_equal(add(X_501, X_499), h(X_501))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(greater_equal(add(X_501, X_499),
% 10.04/10.20 '==>'(h(X_501), X_501))), [1], $fot(h(X_501))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_475, plain,
% 10.04/10.20 (~ greater_equal(add(X_501, X_499), '==>'(h(X_501), X_501)) |
% 10.04/10.20 greater_equal(add(X_501, X_499), h(X_501))),
% 10.04/10.20 inference(resolve, [$cnf($equal('==>'(h(X_501), X_501), h(X_501)))],
% 10.04/10.20 [refute_0_473, refute_0_474])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_476, plain, (greater_equal(add(X_501, X_499), h(X_501))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_501, X_499),
% 10.04/10.20 '==>'(h(X_501), X_501)))],
% 10.04/10.20 [refute_0_470, refute_0_475])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_477, plain, (greater_equal(add(X_647, X_646), h(X_647))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_476 :
% 10.04/10.20 [bind(X_499, $fot(X_646)), bind(X_501, $fot(X_647))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_478, plain, (greater_equal(X_646, '==>'(X_647, h(X_647)))),
% 10.04/10.20 inference(resolve, [$cnf(greater_equal(add(X_647, X_646), h(X_647)))],
% 10.04/10.20 [refute_0_477, refute_0_454])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_479, plain,
% 10.04/10.20 (greater_equal('==>'('==>'(h(0), 1), 1), '==>'(0, h(0)))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_478 :
% 10.04/10.20 [bind(X_646, $fot('==>'('==>'(h(0), 1), 1))),
% 10.04/10.20 bind(X_647, $fot(0))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_480, plain, ('==>'(0, h(0)) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal('==>'('==>'(h(0), 1), 1),
% 10.04/10.20 '==>'(0, h(0))))], [refute_0_479, refute_0_453])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_481, plain,
% 10.04/10.20 ('==>'(0, h(0)) != '==>'('==>'(h(0), 1), 1) |
% 10.04/10.20 '==>'('==>'(h(0), 1), 1) = '==>'(0, h(0))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_15 :
% 10.04/10.20 [bind(X, $fot('==>'(0, h(0)))),
% 10.04/10.20 bind(Y, $fot('==>'('==>'(h(0), 1), 1)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_482, plain, ('==>'('==>'(h(0), 1), 1) = '==>'(0, h(0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(0, h(0)), '==>'('==>'(h(0), 1), 1)))],
% 10.04/10.20 [refute_0_480, refute_0_481])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_483, plain,
% 10.04/10.20 ('==>'('==>'(h(0), 1), 1) != '==>'(0, h(0)) |
% 10.04/10.20 ~ greater_equal('==>'(0, h(0)), '==>'(0, '==>'(0, '==>'(0, h(0))))) |
% 10.04/10.20 greater_equal('==>'('==>'(h(0), 1), 1),
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(~ greater_equal('==>'('==>'(h(0), 1), 1),
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))))), [0],
% 10.04/10.20 $fot('==>'(0, h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_484, plain,
% 10.04/10.20 (~ greater_equal('==>'(0, h(0)), '==>'(0, '==>'(0, '==>'(0, h(0))))) |
% 10.04/10.20 greater_equal('==>'('==>'(h(0), 1), 1),
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'('==>'(h(0), 1), 1), '==>'(0, h(0))))],
% 10.04/10.20 [refute_0_482, refute_0_483])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_485, plain,
% 10.04/10.20 (~ greater_equal('==>'(0, h(0)), '==>'(0, '==>'(0, '==>'(0, h(0))))) |
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))) = '==>'('==>'(h(0), 1), 1)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal('==>'('==>'(h(0), 1), 1),
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0))))))],
% 10.04/10.20 [refute_0_484, refute_0_319])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_486, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, '==>'(0, h(0)))) != '==>'('==>'(h(0), 1), 1) |
% 10.04/10.20 '==>'('==>'(h(0), 1), 1) != '==>'(0, h(0)) |
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))) = '==>'(0, h(0))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(~ $equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.20 '==>'(0, h(0)))), [0],
% 10.04/10.20 $fot('==>'('==>'(h(0), 1), 1))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_487, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, '==>'(0, h(0)))) != '==>'('==>'(h(0), 1), 1) |
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))) = '==>'(0, h(0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'('==>'(h(0), 1), 1), '==>'(0, h(0))))],
% 10.04/10.20 [refute_0_482, refute_0_486])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_488, plain,
% 10.04/10.20 (~ greater_equal('==>'(0, h(0)), '==>'(0, '==>'(0, '==>'(0, h(0))))) |
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))) = '==>'(0, h(0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.20 '==>'('==>'(h(0), 1), 1)))],
% 10.04/10.20 [refute_0_485, refute_0_487])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_489, plain,
% 10.04/10.20 (~ greater_equal(add(X_502, X_504), '==>'(X_503, X_504)) |
% 10.04/10.20 greater_equal(X_504, '==>'(X_502, '==>'(X_503, X_504)))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_3 :
% 10.04/10.20 [bind(X5, $fot(X_502)), bind(X6, $fot(X_504)),
% 10.04/10.20 bind(X7, $fot('==>'(X_503, X_504)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_490, plain, (greater_equal(add(X_442, add(B, X_444)), X_444)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_459 :
% 10.04/10.20 [bind(A, $fot(X_442)), bind(X_162, $fot(X_444))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_491, plain,
% 10.04/10.20 (~ greater_equal(add(X_442, add(B, X_444)), X_444) |
% 10.04/10.20 greater_equal(add(B, X_444), '==>'(X_442, X_444))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_3 :
% 10.04/10.20 [bind(X5, $fot(X_442)), bind(X6, $fot(add(B, X_444))),
% 10.04/10.20 bind(X7, $fot(X_444))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_492, plain,
% 10.04/10.20 (greater_equal(add(B, X_444), '==>'(X_442, X_444))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_442, add(B, X_444)), X_444))],
% 10.04/10.20 [refute_0_490, refute_0_491])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_493, plain,
% 10.04/10.20 (greater_equal(add(X_502, X_504), '==>'(X_503, X_504))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_492 :
% 10.04/10.20 [bind(B, $fot(X_502)), bind(X_442, $fot(X_503)),
% 10.04/10.20 bind(X_444, $fot(X_504))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_494, plain,
% 10.04/10.20 (greater_equal(X_504, '==>'(X_502, '==>'(X_503, X_504)))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(add(X_502, X_504),
% 10.04/10.20 '==>'(X_503, X_504)))],
% 10.04/10.20 [refute_0_493, refute_0_489])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_495, plain,
% 10.04/10.20 (greater_equal('==>'(0, h(0)), '==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_494 :
% 10.04/10.20 [bind(X_502, $fot(0)), bind(X_503, $fot(0)),
% 10.04/10.20 bind(X_504, $fot('==>'(0, h(0))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_496, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, '==>'(0, h(0)))) = '==>'(0, h(0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal('==>'(0, h(0)),
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0))))))],
% 10.04/10.20 [refute_0_495, refute_0_488])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_497, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, '==>'(0, h(0)))) != '==>'(0, h(0)) |
% 10.04/10.20 ~ greater_equal(h(0), '==>'(0, h(0))) |
% 10.04/10.20 greater_equal(h(0), '==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(~ greater_equal(h(0),
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))))), [1],
% 10.04/10.20 $fot('==>'(0, h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_498, plain,
% 10.04/10.20 (~ greater_equal(h(0), '==>'(0, h(0))) |
% 10.04/10.20 greater_equal(h(0), '==>'(0, '==>'(0, '==>'(0, h(0)))))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.20 '==>'(0, h(0))))], [refute_0_496, refute_0_497])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_499, plain,
% 10.04/10.20 (~ greater_equal(h(0), '==>'(0, h(0))) |
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))) = h(0)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal(h(0),
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0))))))],
% 10.04/10.20 [refute_0_498, refute_0_247])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_500, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, '==>'(0, h(0)))) != '==>'(0, h(0)) |
% 10.04/10.20 '==>'(0, '==>'(0, '==>'(0, h(0)))) != h(0) | '==>'(0, h(0)) = h(0)),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, '==>'(0, h(0)))), h(0))),
% 10.04/10.20 [0], $fot('==>'(0, h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_501, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, '==>'(0, h(0)))) != h(0) | '==>'(0, h(0)) = h(0)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, '==>'(0, h(0)))),
% 10.04/10.20 '==>'(0, h(0))))], [refute_0_496, refute_0_500])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_502, plain,
% 10.04/10.20 (~ greater_equal(h(0), '==>'(0, h(0))) | '==>'(0, h(0)) = h(0)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, '==>'(0, h(0)))), h(0)))],
% 10.04/10.20 [refute_0_499, refute_0_501])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_503, plain, (greater_equal(h(0), '==>'(0, h(0)))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_174 :
% 10.04/10.20 [bind(X_442, $fot(0)), bind(X_444, $fot(h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_504, plain, ('==>'(0, h(0)) = h(0)),
% 10.04/10.20 inference(resolve, [$cnf(greater_equal(h(0), '==>'(0, h(0))))],
% 10.04/10.20 [refute_0_503, refute_0_502])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_505, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, h(0))) = '==>'(0, '==>'(0, h(0)))),
% 10.04/10.20 introduced(tautology, [refl, [$fot('==>'(0, '==>'(0, h(0))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_506, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, h(0))) != '==>'(0, '==>'(0, h(0))) |
% 10.04/10.20 '==>'(0, h(0)) != h(0) | '==>'(0, '==>'(0, h(0))) = '==>'(0, h(0))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, h(0))),
% 10.04/10.20 '==>'(0, '==>'(0, h(0))))), [1, 1], $fot(h(0))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_507, plain,
% 10.04/10.20 ('==>'(0, h(0)) != h(0) | '==>'(0, '==>'(0, h(0))) = '==>'(0, h(0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, h(0))),
% 10.04/10.20 '==>'(0, '==>'(0, h(0)))))],
% 10.04/10.20 [refute_0_505, refute_0_506])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_508, plain, ('==>'(0, '==>'(0, h(0))) = '==>'(0, h(0))),
% 10.04/10.20 inference(resolve, [$cnf($equal('==>'(0, h(0)), h(0)))],
% 10.04/10.20 [refute_0_504, refute_0_507])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_509, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, h(0))) != '==>'(0, h(0)) | '==>'(0, h(0)) != h(0) |
% 10.04/10.20 '==>'(0, '==>'(0, h(0))) = h(0)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_184 :
% 10.04/10.20 [bind(X, $fot('==>'(0, '==>'(0, h(0))))),
% 10.04/10.20 bind(Y, $fot('==>'(0, h(0)))), bind(Z, $fot(h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_510, plain,
% 10.04/10.20 ('==>'(0, h(0)) != h(0) | '==>'(0, '==>'(0, h(0))) = h(0)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, h(0))), '==>'(0, h(0))))],
% 10.04/10.20 [refute_0_508, refute_0_509])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_511, plain, ('==>'(0, '==>'(0, h(0))) = h(0)),
% 10.04/10.20 inference(resolve, [$cnf($equal('==>'(0, h(0)), h(0)))],
% 10.04/10.20 [refute_0_504, refute_0_510])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_512, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, h(0))) != h(0) |
% 10.04/10.20 ~ greater_equal('==>'(X_442, h(0)), h(0)) |
% 10.04/10.20 greater_equal('==>'(X_442, h(0)), '==>'(0, '==>'(0, h(0))))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf(~ greater_equal('==>'(X_442, h(0)),
% 10.04/10.20 '==>'(0, '==>'(0, h(0))))), [1], $fot(h(0))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_513, plain,
% 10.04/10.20 (~ greater_equal('==>'(X_442, h(0)), h(0)) |
% 10.04/10.20 greater_equal('==>'(X_442, h(0)), '==>'(0, '==>'(0, h(0))))),
% 10.04/10.20 inference(resolve, [$cnf($equal('==>'(0, '==>'(0, h(0))), h(0)))],
% 10.04/10.20 [refute_0_511, refute_0_512])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_514, plain,
% 10.04/10.20 (~ greater_equal('==>'(X_442, h(0)), h(0)) |
% 10.04/10.20 '==>'(0, '==>'(0, h(0))) = '==>'(X_442, h(0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf(greater_equal('==>'(X_442, h(0)),
% 10.04/10.20 '==>'(0, '==>'(0, h(0)))))],
% 10.04/10.20 [refute_0_513, refute_0_223])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_515, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, h(0))) != '==>'(X_442, h(0)) |
% 10.04/10.20 '==>'(0, '==>'(0, h(0))) != h(0) | h(0) = '==>'(X_442, h(0))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, h(0))),
% 10.04/10.20 '==>'(X_442, h(0)))), [0], $fot(h(0))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_516, plain,
% 10.04/10.20 ('==>'(0, '==>'(0, h(0))) != '==>'(X_442, h(0)) |
% 10.04/10.20 h(0) = '==>'(X_442, h(0))),
% 10.04/10.20 inference(resolve, [$cnf($equal('==>'(0, '==>'(0, h(0))), h(0)))],
% 10.04/10.20 [refute_0_511, refute_0_515])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_517, plain,
% 10.04/10.20 (~ greater_equal('==>'(X_442, h(0)), h(0)) |
% 10.04/10.20 h(0) = '==>'(X_442, h(0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(0, '==>'(0, h(0))), '==>'(X_442, h(0))))],
% 10.04/10.20 [refute_0_514, refute_0_516])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_518, plain, (greater_equal('==>'(X_442, h(0)), h(0))),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_20 : [bind(X_451, $fot('==>'(X_442, h(0))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_519, plain, (h(0) = '==>'(X_442, h(0))),
% 10.04/10.20 inference(resolve, [$cnf(greater_equal('==>'(X_442, h(0)), h(0)))],
% 10.04/10.20 [refute_0_518, refute_0_517])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_520, plain,
% 10.04/10.20 (h(0) != '==>'(X_442, h(0)) | '==>'(X_442, h(0)) = h(0)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_15 :
% 10.04/10.20 [bind(X, $fot(h(0))), bind(Y, $fot('==>'(X_442, h(0))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_521, plain, ('==>'(X_442, h(0)) = h(0)),
% 10.04/10.20 inference(resolve, [$cnf($equal(h(0), '==>'(X_442, h(0))))],
% 10.04/10.20 [refute_0_519, refute_0_520])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_522, plain, ('==>'(h(0), h(0)) = h(0)),
% 10.04/10.20 inference(subst, [], [refute_0_521 : [bind(X_442, $fot(h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_523, plain,
% 10.04/10.20 ('==>'(h(0), '==>'(0, h(0))) = '==>'(h(0), '==>'(0, h(0)))),
% 10.04/10.20 introduced(tautology, [refl, [$fot('==>'(h(0), '==>'(0, h(0))))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_524, plain,
% 10.04/10.20 ('==>'(0, h(0)) != h(0) |
% 10.04/10.20 '==>'(h(0), '==>'(0, h(0))) != '==>'(h(0), '==>'(0, h(0))) |
% 10.04/10.20 '==>'(h(0), '==>'(0, h(0))) = '==>'(h(0), h(0))),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf($equal('==>'(h(0), '==>'(0, h(0))),
% 10.04/10.20 '==>'(h(0), '==>'(0, h(0))))), [1, 1],
% 10.04/10.20 $fot(h(0))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_525, plain,
% 10.04/10.20 ('==>'(0, h(0)) != h(0) |
% 10.04/10.20 '==>'(h(0), '==>'(0, h(0))) = '==>'(h(0), h(0))),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(h(0), '==>'(0, h(0))),
% 10.04/10.20 '==>'(h(0), '==>'(0, h(0)))))],
% 10.04/10.20 [refute_0_523, refute_0_524])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_526, plain, ('==>'(h(0), '==>'(0, h(0))) = '==>'(h(0), h(0))),
% 10.04/10.20 inference(resolve, [$cnf($equal('==>'(0, h(0)), h(0)))],
% 10.04/10.20 [refute_0_504, refute_0_525])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_527, plain,
% 10.04/10.20 ('==>'(h(0), '==>'(0, h(0))) != '==>'(h(0), h(0)) |
% 10.04/10.20 '==>'(h(0), h(0)) != h(0) | '==>'(h(0), '==>'(0, h(0))) = h(0)),
% 10.04/10.20 inference(subst, [],
% 10.04/10.20 [refute_0_184 :
% 10.04/10.20 [bind(X, $fot('==>'(h(0), '==>'(0, h(0))))),
% 10.04/10.20 bind(Y, $fot('==>'(h(0), h(0)))), bind(Z, $fot(h(0)))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_528, plain,
% 10.04/10.20 ('==>'(h(0), h(0)) != h(0) | '==>'(h(0), '==>'(0, h(0))) = h(0)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'(h(0), '==>'(0, h(0))),
% 10.04/10.20 '==>'(h(0), h(0))))], [refute_0_526, refute_0_527])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_529, plain, ('==>'(h(0), '==>'(0, h(0))) = h(0)),
% 10.04/10.20 inference(resolve, [$cnf($equal('==>'(h(0), h(0)), h(0)))],
% 10.04/10.20 [refute_0_522, refute_0_528])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_530, plain,
% 10.04/10.20 ('==>'('==>'(h(0), '==>'(0, h(0))), X_691) =
% 10.04/10.20 '==>'('==>'(h(0), '==>'(0, h(0))), X_691)),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [refl, [$fot('==>'('==>'(h(0), '==>'(0, h(0))), X_691))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_531, plain,
% 10.04/10.20 ('==>'('==>'(h(0), '==>'(0, h(0))), X_691) !=
% 10.04/10.20 '==>'('==>'(h(0), '==>'(0, h(0))), X_691) |
% 10.04/10.20 '==>'(h(0), '==>'(0, h(0))) != h(0) |
% 10.04/10.20 '==>'('==>'(h(0), '==>'(0, h(0))), X_691) = '==>'(h(0), X_691)),
% 10.04/10.20 introduced(tautology,
% 10.04/10.20 [equality,
% 10.04/10.20 [$cnf($equal('==>'('==>'(h(0), '==>'(0, h(0))), X_691),
% 10.04/10.20 '==>'('==>'(h(0), '==>'(0, h(0))), X_691))),
% 10.04/10.20 [1, 0], $fot(h(0))]])).
% 10.04/10.20
% 10.04/10.20 cnf(refute_0_532, plain,
% 10.04/10.20 ('==>'(h(0), '==>'(0, h(0))) != h(0) |
% 10.04/10.20 '==>'('==>'(h(0), '==>'(0, h(0))), X_691) = '==>'(h(0), X_691)),
% 10.04/10.20 inference(resolve,
% 10.04/10.20 [$cnf($equal('==>'('==>'(h(0), '==>'(0, h(0))), X_691),
% 10.04/10.20 '==>'('==>'(h(0), '==>'(0, h(0))), X_691)))],
% 10.04/10.20 [refute_0_530, refute_0_531])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_533, plain,
% 10.04/10.21 ('==>'('==>'(h(0), '==>'(0, h(0))), X_691) = '==>'(h(0), X_691)),
% 10.04/10.21 inference(resolve, [$cnf($equal('==>'(h(0), '==>'(0, h(0))), h(0)))],
% 10.04/10.21 [refute_0_529, refute_0_532])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_534, plain,
% 10.04/10.21 ('==>'('==>'(h(0), '==>'(0, h(0))), X_691) != '==>'(h(0), X_691) |
% 10.04/10.21 ~ greater_equal(X_691, '==>'(h(0), X_691)) |
% 10.04/10.21 greater_equal(X_691, '==>'('==>'(h(0), '==>'(0, h(0))), X_691))),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf(~ greater_equal(X_691,
% 10.04/10.21 '==>'('==>'(h(0), '==>'(0, h(0))), X_691))), [1],
% 10.04/10.21 $fot('==>'(h(0), X_691))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_535, plain,
% 10.04/10.21 (~ greater_equal(X_691, '==>'(h(0), X_691)) |
% 10.04/10.21 greater_equal(X_691, '==>'('==>'(h(0), '==>'(0, h(0))), X_691))),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'('==>'(h(0), '==>'(0, h(0))), X_691),
% 10.04/10.21 '==>'(h(0), X_691)))],
% 10.04/10.21 [refute_0_533, refute_0_534])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_536, plain,
% 10.04/10.21 (~ greater_equal(X_691, '==>'(h(0), X_691)) |
% 10.04/10.21 greater_equal('==>'('==>'(0, 0), X_691),
% 10.04/10.21 '==>'('==>'(h(0), '==>'(0, h(0))), X_691))),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf(greater_equal(X_691,
% 10.04/10.21 '==>'('==>'(h(0), '==>'(0, h(0))), X_691)))],
% 10.04/10.21 [refute_0_535, refute_0_189])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_537, plain,
% 10.04/10.21 (~ greater_equal(X_691, '==>'(h(0), X_691)) |
% 10.04/10.21 '==>'('==>'(h(0), '==>'(0, h(0))), X_691) =
% 10.04/10.21 '==>'('==>'(0, 0), X_691)),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf(greater_equal('==>'('==>'(0, 0), X_691),
% 10.04/10.21 '==>'('==>'(h(0), '==>'(0, h(0))), X_691)))],
% 10.04/10.21 [refute_0_536, refute_0_163])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_538, plain,
% 10.04/10.21 ('==>'('==>'(h(0), '==>'(0, h(0))), X_691) !=
% 10.04/10.21 '==>'('==>'(0, 0), X_691) |
% 10.04/10.21 '==>'('==>'(h(0), '==>'(0, h(0))), X_691) != '==>'(h(0), X_691) |
% 10.04/10.21 '==>'(h(0), X_691) = '==>'('==>'(0, 0), X_691)),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf($equal('==>'('==>'(h(0), '==>'(0, h(0))), X_691),
% 10.04/10.21 '==>'('==>'(0, 0), X_691))), [0],
% 10.04/10.21 $fot('==>'(h(0), X_691))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_539, plain,
% 10.04/10.21 ('==>'('==>'(h(0), '==>'(0, h(0))), X_691) !=
% 10.04/10.21 '==>'('==>'(0, 0), X_691) |
% 10.04/10.21 '==>'(h(0), X_691) = '==>'('==>'(0, 0), X_691)),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'('==>'(h(0), '==>'(0, h(0))), X_691),
% 10.04/10.21 '==>'(h(0), X_691)))],
% 10.04/10.21 [refute_0_533, refute_0_538])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_540, plain,
% 10.04/10.21 ('==>'('==>'(0, 0), X_691) != X_691 |
% 10.04/10.21 '==>'(h(0), X_691) != '==>'('==>'(0, 0), X_691) |
% 10.04/10.21 '==>'(h(0), X_691) = X_691),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf($equal('==>'(h(0), X_691),
% 10.04/10.21 '==>'('==>'(0, 0), X_691))), [1], $fot(X_691)]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_541, plain,
% 10.04/10.21 ('==>'(h(0), X_691) != '==>'('==>'(0, 0), X_691) |
% 10.04/10.21 '==>'(h(0), X_691) = X_691),
% 10.04/10.21 inference(resolve, [$cnf($equal('==>'('==>'(0, 0), X_691), X_691))],
% 10.04/10.21 [refute_0_187, refute_0_540])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_542, plain,
% 10.04/10.21 ('==>'('==>'(h(0), '==>'(0, h(0))), X_691) !=
% 10.04/10.21 '==>'('==>'(0, 0), X_691) | '==>'(h(0), X_691) = X_691),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'(h(0), X_691),
% 10.04/10.21 '==>'('==>'(0, 0), X_691)))],
% 10.04/10.21 [refute_0_539, refute_0_541])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_543, plain,
% 10.04/10.21 (~ greater_equal(X_691, '==>'(h(0), X_691)) |
% 10.04/10.21 '==>'(h(0), X_691) = X_691),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'('==>'(h(0), '==>'(0, h(0))), X_691),
% 10.04/10.21 '==>'('==>'(0, 0), X_691)))],
% 10.04/10.21 [refute_0_537, refute_0_542])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_544, plain, (greater_equal(X_691, '==>'(h(0), X_691))),
% 10.04/10.21 inference(subst, [],
% 10.04/10.21 [refute_0_174 :
% 10.04/10.21 [bind(X_442, $fot(h(0))), bind(X_444, $fot(X_691))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_545, plain, ('==>'(h(0), X_691) = X_691),
% 10.04/10.21 inference(resolve, [$cnf(greater_equal(X_691, '==>'(h(0), X_691)))],
% 10.04/10.21 [refute_0_544, refute_0_543])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_546, plain, ('==>'(h(0), 0) = 0),
% 10.04/10.21 inference(subst, [], [refute_0_545 : [bind(X_691, $fot(0))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_547, plain, ('==>'(skolemFOFtoCNF_X17, h(0)) = h(0)),
% 10.04/10.21 inference(subst, [],
% 10.04/10.21 [refute_0_521 : [bind(X_442, $fot(skolemFOFtoCNF_X17))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_548, plain,
% 10.04/10.21 (greater_equal('==>'(0, '==>'(0, h(0))), '==>'(h(h(0)), h(0)))),
% 10.04/10.21 inference(subst, [], [refute_0_221 : [bind(X_442, $fot(h(h(0))))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_549, plain,
% 10.04/10.21 ('==>'(h(h(0)), h(0)) != h(h(0)) |
% 10.04/10.21 ~ greater_equal('==>'(0, '==>'(0, h(0))), '==>'(h(h(0)), h(0))) |
% 10.04/10.21 greater_equal('==>'(0, '==>'(0, h(0))), h(h(0)))),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf(greater_equal('==>'(0, '==>'(0, h(0))),
% 10.04/10.21 '==>'(h(h(0)), h(0)))), [1], $fot(h(h(0)))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_550, plain,
% 10.04/10.21 (~ greater_equal('==>'(0, '==>'(0, h(0))), '==>'(h(h(0)), h(0))) |
% 10.04/10.21 greater_equal('==>'(0, '==>'(0, h(0))), h(h(0)))),
% 10.04/10.21 inference(resolve, [$cnf($equal('==>'(h(h(0)), h(0)), h(h(0))))],
% 10.04/10.21 [refute_0_26, refute_0_549])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_551, plain,
% 10.04/10.21 (greater_equal('==>'(0, '==>'(0, h(0))), h(h(0)))),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf(greater_equal('==>'(0, '==>'(0, h(0))),
% 10.04/10.21 '==>'(h(h(0)), h(0))))],
% 10.04/10.21 [refute_0_548, refute_0_550])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_552, plain,
% 10.04/10.21 (~ greater_equal('==>'(0, '==>'(0, h(0))), h(h(0))) |
% 10.04/10.21 ~ greater_equal(h(h(0)), '==>'(0, '==>'(0, h(0)))) |
% 10.04/10.21 '==>'(0, '==>'(0, h(0))) = h(h(0))),
% 10.04/10.21 inference(subst, [],
% 10.04/10.21 [refute_0_75 :
% 10.04/10.21 [bind(X3, $fot('==>'(0, '==>'(0, h(0))))),
% 10.04/10.21 bind(X4, $fot(h(h(0))))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_553, plain,
% 10.04/10.21 (~ greater_equal(h(h(0)), '==>'(0, '==>'(0, h(0)))) |
% 10.04/10.21 '==>'(0, '==>'(0, h(0))) = h(h(0))),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf(greater_equal('==>'(0, '==>'(0, h(0))), h(h(0))))],
% 10.04/10.21 [refute_0_551, refute_0_552])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_554, plain,
% 10.04/10.21 ('==>'(0, '==>'(0, h(0))) != h(0) | ~ greater_equal(h(h(0)), h(0)) |
% 10.04/10.21 greater_equal(h(h(0)), '==>'(0, '==>'(0, h(0))))),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf(~ greater_equal(h(h(0)), '==>'(0, '==>'(0, h(0))))),
% 10.04/10.21 [1], $fot(h(0))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_555, plain,
% 10.04/10.21 (~ greater_equal(h(h(0)), h(0)) |
% 10.04/10.21 greater_equal(h(h(0)), '==>'(0, '==>'(0, h(0))))),
% 10.04/10.21 inference(resolve, [$cnf($equal('==>'(0, '==>'(0, h(0))), h(0)))],
% 10.04/10.21 [refute_0_511, refute_0_554])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_556, plain,
% 10.04/10.21 (~ greater_equal(h(h(0)), h(0)) | '==>'(0, '==>'(0, h(0))) = h(h(0))),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf(greater_equal(h(h(0)), '==>'(0, '==>'(0, h(0)))))],
% 10.04/10.21 [refute_0_555, refute_0_553])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_557, plain,
% 10.04/10.21 ('==>'(0, '==>'(0, h(0))) != h(0) |
% 10.04/10.21 '==>'(0, '==>'(0, h(0))) != h(h(0)) | h(0) = h(h(0))),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf($equal('==>'(0, '==>'(0, h(0))), h(h(0)))), [0],
% 10.04/10.21 $fot(h(0))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_558, plain,
% 10.04/10.21 ('==>'(0, '==>'(0, h(0))) != h(h(0)) | h(0) = h(h(0))),
% 10.04/10.21 inference(resolve, [$cnf($equal('==>'(0, '==>'(0, h(0))), h(0)))],
% 10.04/10.21 [refute_0_511, refute_0_557])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_559, plain, (~ greater_equal(h(h(0)), h(0)) | h(0) = h(h(0))),
% 10.04/10.21 inference(resolve, [$cnf($equal('==>'(0, '==>'(0, h(0))), h(h(0))))],
% 10.04/10.21 [refute_0_556, refute_0_558])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_560, plain, (greater_equal(h(h(0)), h(0))),
% 10.04/10.21 inference(subst, [], [refute_0_20 : [bind(X_451, $fot(h(h(0))))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_561, plain, (h(0) = h(h(0))),
% 10.04/10.21 inference(resolve, [$cnf(greater_equal(h(h(0)), h(0)))],
% 10.04/10.21 [refute_0_560, refute_0_559])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_562, plain, (h(0) != h(h(0)) | h(h(0)) = h(0)),
% 10.04/10.21 inference(subst, [],
% 10.04/10.21 [refute_0_15 :
% 10.04/10.21 [bind(X, $fot(h(0))), bind(Y, $fot(h(h(0))))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_563, plain, (h(h(0)) = h(0)),
% 10.04/10.21 inference(resolve, [$cnf($equal(h(0), h(h(0))))],
% 10.04/10.21 [refute_0_561, refute_0_562])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_564, plain, (h(h(h(0))) = h(h(h(0)))),
% 10.04/10.21 introduced(tautology, [refl, [$fot(h(h(h(0))))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_565, plain,
% 10.04/10.21 (h(h(0)) != h(0) | h(h(h(0))) != h(h(h(0))) | h(h(h(0))) = h(h(0))),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf($equal(h(h(h(0))), h(h(h(0))))), [1, 0],
% 10.04/10.21 $fot(h(0))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_566, plain, (h(h(0)) != h(0) | h(h(h(0))) = h(h(0))),
% 10.04/10.21 inference(resolve, [$cnf($equal(h(h(h(0))), h(h(h(0)))))],
% 10.04/10.21 [refute_0_564, refute_0_565])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_567, plain, (h(h(h(0))) = h(h(0))),
% 10.04/10.21 inference(resolve, [$cnf($equal(h(h(0)), h(0)))],
% 10.04/10.21 [refute_0_563, refute_0_566])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_568, plain,
% 10.04/10.21 (h(h(0)) != h(0) | h(h(h(0))) != h(h(0)) | h(h(h(0))) = h(0)),
% 10.04/10.21 inference(subst, [],
% 10.04/10.21 [refute_0_184 :
% 10.04/10.21 [bind(X, $fot(h(h(h(0))))), bind(Y, $fot(h(h(0)))),
% 10.04/10.21 bind(Z, $fot(h(0)))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_569, plain, (h(h(0)) != h(0) | h(h(h(0))) = h(0)),
% 10.04/10.21 inference(resolve, [$cnf($equal(h(h(h(0))), h(h(0))))],
% 10.04/10.21 [refute_0_567, refute_0_568])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_570, plain, (h(h(h(0))) = h(0)),
% 10.04/10.21 inference(resolve, [$cnf($equal(h(h(0)), h(0)))],
% 10.04/10.21 [refute_0_563, refute_0_569])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_571, plain,
% 10.04/10.21 ('==>'(skolemFOFtoCNF_X17, h(h(h(0)))) =
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [refl, [$fot('==>'(skolemFOFtoCNF_X17, h(h(h(0)))))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_572, plain,
% 10.04/10.21 ('==>'(skolemFOFtoCNF_X17, h(h(h(0)))) !=
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) | h(h(h(0))) != h(0) |
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) =
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(0))),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf($equal('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))), [1, 1],
% 10.04/10.21 $fot(h(0))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_573, plain,
% 10.04/10.21 (h(h(h(0))) != h(0) |
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) =
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(0))),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))],
% 10.04/10.21 [refute_0_571, refute_0_572])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_574, plain,
% 10.04/10.21 ('==>'(skolemFOFtoCNF_X17, h(h(h(0)))) =
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(0))),
% 10.04/10.21 inference(resolve, [$cnf($equal(h(h(h(0))), h(0)))],
% 10.04/10.21 [refute_0_570, refute_0_573])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_575, plain,
% 10.04/10.21 ('==>'(skolemFOFtoCNF_X17, h(0)) != h(0) |
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) !=
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(0)) |
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) = h(0)),
% 10.04/10.21 inference(subst, [],
% 10.04/10.21 [refute_0_184 :
% 10.04/10.21 [bind(X, $fot('==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.21 bind(Y, $fot('==>'(skolemFOFtoCNF_X17, h(0)))),
% 10.04/10.21 bind(Z, $fot(h(0)))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_576, plain,
% 10.04/10.21 ('==>'(skolemFOFtoCNF_X17, h(0)) != h(0) |
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) = h(0)),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(0))))],
% 10.04/10.21 [refute_0_574, refute_0_575])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_577, plain, ('==>'(skolemFOFtoCNF_X17, h(h(h(0)))) = h(0)),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'(skolemFOFtoCNF_X17, h(0)), h(0)))],
% 10.04/10.21 [refute_0_547, refute_0_576])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_578, plain,
% 10.04/10.21 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) =
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [refl,
% 10.04/10.21 [$fot('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_579, plain,
% 10.04/10.21 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) !=
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) |
% 10.04/10.21 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) != h(0) |
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) = '==>'(h(0), 0)),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.21 0),
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.21 [1, 0], $fot(h(0))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_580, plain,
% 10.04/10.21 ('==>'(skolemFOFtoCNF_X17, h(h(h(0)))) != h(0) |
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) = '==>'(h(0), 0)),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0),
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)))],
% 10.04/10.21 [refute_0_578, refute_0_579])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_581, plain,
% 10.04/10.21 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) = '==>'(h(0), 0)),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), h(0)))],
% 10.04/10.21 [refute_0_577, refute_0_580])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_582, plain,
% 10.04/10.21 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) != '==>'(h(0), 0) |
% 10.04/10.21 '==>'(h(0), 0) != 0 |
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) = 0),
% 10.04/10.21 inference(subst, [],
% 10.04/10.21 [refute_0_184 :
% 10.04/10.21 [bind(X,
% 10.04/10.21 $fot('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.21 0))), bind(Y, $fot('==>'(h(0), 0))),
% 10.04/10.21 bind(Z, $fot(0))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_583, plain,
% 10.04/10.21 ('==>'(h(0), 0) != 0 |
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) = 0),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0),
% 10.04/10.21 '==>'(h(0), 0)))], [refute_0_581, refute_0_582])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_584, plain,
% 10.04/10.21 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) = 0),
% 10.04/10.21 inference(resolve, [$cnf($equal('==>'(h(0), 0), 0))],
% 10.04/10.21 [refute_0_546, refute_0_583])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_585, plain,
% 10.04/10.21 (add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 10.04/10.21 add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [refl,
% 10.04/10.21 [$fot(add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.21 0)))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_586, plain,
% 10.04/10.21 (add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) !=
% 10.04/10.21 add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) |
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) != 0 |
% 10.04/10.21 add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 10.04/10.21 add(skolemFOFtoCNF_X17, 0)),
% 10.04/10.21 introduced(tautology,
% 10.04/10.21 [equality,
% 10.04/10.21 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.21 add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.21 0)))), [1, 1], $fot(0)]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_587, plain,
% 10.04/10.21 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) != 0 |
% 10.04/10.21 add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 10.04/10.21 add(skolemFOFtoCNF_X17, 0)),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.21 add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.21 0))))], [refute_0_585, refute_0_586])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_588, plain,
% 10.04/10.21 (add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 10.04/10.21 add(skolemFOFtoCNF_X17, 0)),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0),
% 10.04/10.21 0))], [refute_0_584, refute_0_587])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_589, plain,
% 10.04/10.21 (add(skolemFOFtoCNF_X17, 0) != skolemFOFtoCNF_X17 |
% 10.04/10.21 add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) !=
% 10.04/10.21 add(skolemFOFtoCNF_X17, 0) |
% 10.04/10.21 add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 10.04/10.21 skolemFOFtoCNF_X17),
% 10.04/10.21 inference(subst, [],
% 10.04/10.21 [refute_0_184 :
% 10.04/10.21 [bind(X,
% 10.04/10.21 $fot(add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.21 0)))),
% 10.04/10.21 bind(Y, $fot(add(skolemFOFtoCNF_X17, 0))),
% 10.04/10.21 bind(Z, $fot(skolemFOFtoCNF_X17))]])).
% 10.04/10.21
% 10.04/10.21 cnf(refute_0_590, plain,
% 10.04/10.21 (add(skolemFOFtoCNF_X17, 0) != skolemFOFtoCNF_X17 |
% 10.04/10.21 add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 10.04/10.21 skolemFOFtoCNF_X17),
% 10.04/10.21 inference(resolve,
% 10.04/10.21 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 10.04/10.21 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.21 add(skolemFOFtoCNF_X17, 0)))],
% 10.04/10.21 [refute_0_588, refute_0_589])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_591, plain,
% 10.04/10.22 (add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) =
% 10.04/10.22 skolemFOFtoCNF_X17),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(add(skolemFOFtoCNF_X17, 0),
% 10.04/10.22 skolemFOFtoCNF_X17))],
% 10.04/10.22 [refute_0_109, refute_0_590])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_592, plain,
% 10.04/10.22 (add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) !=
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) !=
% 10.04/10.22 skolemFOFtoCNF_X17 |
% 10.04/10.22 skolemFOFtoCNF_X17 = '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 10.04/10.22 [0], $fot(skolemFOFtoCNF_X17)]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_593, plain,
% 10.04/10.22 (add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) !=
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 skolemFOFtoCNF_X17 = '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 skolemFOFtoCNF_X17))],
% 10.04/10.22 [refute_0_591, refute_0_592])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_594, plain,
% 10.04/10.22 (~
% 10.04/10.22 greater_equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 greater_equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_3 :
% 10.04/10.22 [bind(X5, $fot(skolemFOFtoCNF_X17)),
% 10.04/10.22 bind(X6,
% 10.04/10.22 $fot('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0))),
% 10.04/10.22 bind(X7, $fot('==>'(skolemFOFtoCNF_X17, h(h(h(0))))))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_595, plain,
% 10.04/10.22 (~ greater_equal(X6, '==>'(X5, X7)) | greater_equal(add(X5, X6), X7)),
% 10.04/10.22 inference(canonicalize, [], [normalize_0_35])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_596, plain,
% 10.04/10.22 (~
% 10.04/10.22 greater_equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))) |
% 10.04/10.22 greater_equal(add(0,
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_595 :
% 10.04/10.22 [bind(X5, $fot(0)),
% 10.04/10.22 bind(X6,
% 10.04/10.22 $fot(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0)))),
% 10.04/10.22 bind(X7, $fot('==>'(skolemFOFtoCNF_X17, h(h(h(0))))))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_597, plain,
% 10.04/10.22 (greater_equal(add(0,
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))],
% 10.04/10.22 [refute_0_74, refute_0_596])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_598, plain,
% 10.04/10.22 (add(0,
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))) =
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_64 :
% 10.04/10.22 [bind(A,
% 10.04/10.22 $fot(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0))))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_599, plain,
% 10.04/10.22 (add(0,
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))) !=
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) |
% 10.04/10.22 ~
% 10.04/10.22 greater_equal(add(0,
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 greater_equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf(greater_equal(add(0,
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0))),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))), [0],
% 10.04/10.22 $fot(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0)))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_600, plain,
% 10.04/10.22 (~
% 10.04/10.22 greater_equal(add(0,
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 greater_equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(add(0,
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0))),
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0))))], [refute_0_598, refute_0_599])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_601, plain,
% 10.04/10.22 (greater_equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(add(0,
% 10.04/10.22 add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0))), '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))],
% 10.04/10.22 [refute_0_597, refute_0_600])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_602, plain,
% 10.04/10.22 (greater_equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))],
% 10.04/10.22 [refute_0_601, refute_0_594])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_603, plain,
% 10.04/10.22 (~
% 10.04/10.22 greater_equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))) |
% 10.04/10.22 ~
% 10.04/10.22 greater_equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) |
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) =
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_75 :
% 10.04/10.22 [bind(X3,
% 10.04/10.22 $fot('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0))),
% 10.04/10.22 bind(X4,
% 10.04/10.22 $fot('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_604, plain,
% 10.04/10.22 (~
% 10.04/10.22 greater_equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) |
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) =
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal('==>'('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 h(h(h(0)))), 0),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))],
% 10.04/10.22 [refute_0_602, refute_0_603])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_605, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) =
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [refl,
% 10.04/10.22 [$fot('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_606, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) !=
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) != h(0) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) =
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(0))),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf($equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))), [1, 1],
% 10.04/10.22 $fot(h(0))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_607, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, h(h(h(0)))) != h(0) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) =
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(0))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))],
% 10.04/10.22 [refute_0_605, refute_0_606])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_608, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) =
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(0))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), h(0)))],
% 10.04/10.22 [refute_0_577, refute_0_607])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_609, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) !=
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(0)) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(0)) != h(0) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) =
% 10.04/10.22 h(0)),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_184 :
% 10.04/10.22 [bind(X,
% 10.04/10.22 $fot('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 10.04/10.22 bind(Y, $fot('==>'(skolemFOFtoCNF_X17, h(0)))),
% 10.04/10.22 bind(Z, $fot(h(0)))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_610, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, h(0)) != h(0) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) =
% 10.04/10.22 h(0)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(0))))],
% 10.04/10.22 [refute_0_608, refute_0_609])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_611, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) =
% 10.04/10.22 h(0)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(skolemFOFtoCNF_X17, h(0)), h(0)))],
% 10.04/10.22 [refute_0_547, refute_0_610])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_612, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) !=
% 10.04/10.22 h(0) |
% 10.04/10.22 ~
% 10.04/10.22 greater_equal(h(0),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) |
% 10.04/10.22 greater_equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf(~ greater_equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 [0], $fot(h(0))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_613, plain,
% 10.04/10.22 (~
% 10.04/10.22 greater_equal(h(0),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) |
% 10.04/10.22 greater_equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))), h(0)))],
% 10.04/10.22 [refute_0_611, refute_0_612])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_614, plain,
% 10.04/10.22 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) != 0 |
% 10.04/10.22 ~ greater_equal(h(0), 0) |
% 10.04/10.22 greater_equal(h(0), '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf(~ greater_equal(h(0),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 [1], $fot(0)]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_615, plain,
% 10.04/10.22 (~ greater_equal(h(0), 0) |
% 10.04/10.22 greater_equal(h(0), '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0),
% 10.04/10.22 0))], [refute_0_584, refute_0_614])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_616, plain,
% 10.04/10.22 (~ greater_equal(h(0), 0) |
% 10.04/10.22 greater_equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(h(0),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)))],
% 10.04/10.22 [refute_0_615, refute_0_613])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_617, plain,
% 10.04/10.22 (~ greater_equal(h(0), 0) |
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) =
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)))],
% 10.04/10.22 [refute_0_616, refute_0_604])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_618, plain,
% 10.04/10.22 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) != 0 |
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) !=
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 0 = '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 0),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))), [0],
% 10.04/10.22 $fot(0)]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_619, plain,
% 10.04/10.22 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) !=
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 0 = '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0),
% 10.04/10.22 0))], [refute_0_584, refute_0_618])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_620, plain,
% 10.04/10.22 (0 !=
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) !=
% 10.04/10.22 h(0) | 0 = h(0)),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf(~ $equal(0, h(0))), [0],
% 10.04/10.22 $fot('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_621, plain,
% 10.04/10.22 (0 !=
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 0 = h(0)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))), h(0)))],
% 10.04/10.22 [refute_0_611, refute_0_620])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_622, plain,
% 10.04/10.22 ('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0) !=
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 0 = h(0)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(0,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))],
% 10.04/10.22 [refute_0_619, refute_0_621])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_623, plain, (~ greater_equal(h(0), 0) | 0 = h(0)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))],
% 10.04/10.22 [refute_0_617, refute_0_622])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_624, plain, (greater_equal(h(0), 0)),
% 10.04/10.22 inference(subst, [], [refute_0_6 : [bind(A, $fot(h(0)))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_625, plain, (0 = h(0)),
% 10.04/10.22 inference(resolve, [$cnf(greater_equal(h(0), 0))],
% 10.04/10.22 [refute_0_624, refute_0_623])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_626, plain, (0 != h(0) | h(0) = 0),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_15 : [bind(X, $fot(0)), bind(Y, $fot(h(0)))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_627, plain, (h(0) = 0),
% 10.04/10.22 inference(resolve, [$cnf($equal(0, h(0)))],
% 10.04/10.22 [refute_0_625, refute_0_626])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_628, plain, (h(0) != 0 | h(h(h(0))) != h(0) | h(h(h(0))) = 0),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_184 :
% 10.04/10.22 [bind(X, $fot(h(h(h(0))))), bind(Y, $fot(h(0))),
% 10.04/10.22 bind(Z, $fot(0))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_629, plain, (h(0) != 0 | h(h(h(0))) = 0),
% 10.04/10.22 inference(resolve, [$cnf($equal(h(h(h(0))), h(0)))],
% 10.04/10.22 [refute_0_570, refute_0_628])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_630, plain, (h(h(h(0))) = 0),
% 10.04/10.22 inference(resolve, [$cnf($equal(h(0), 0))],
% 10.04/10.22 [refute_0_627, refute_0_629])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_631, plain,
% 10.04/10.22 (~
% 10.04/10.22 greater_equal('==>'(add(X_698, skolemFOFtoCNF_X17), X_699),
% 10.04/10.22 '==>'(X_698, X_699)) |
% 10.04/10.22 greater_equal(add(X_698,
% 10.04/10.22 '==>'(add(X_698, skolemFOFtoCNF_X17), X_699)), X_699)),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_595 :
% 10.04/10.22 [bind(X5, $fot(X_698)),
% 10.04/10.22 bind(X6,
% 10.04/10.22 $fot('==>'(add(X_698, skolemFOFtoCNF_X17), X_699))),
% 10.04/10.22 bind(X7, $fot(X_699))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_632, plain,
% 10.04/10.22 (greater_equal(add(0, X_458), add(skolemFOFtoCNF_X17, X_458))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_101 :
% 10.04/10.22 [bind(X10, $fot(X_458)), bind(X_455, $fot(0))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_633, plain, (add(0, X_458) = X_458),
% 10.04/10.22 inference(subst, [], [refute_0_64 : [bind(A, $fot(X_458))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_634, plain,
% 10.04/10.22 (add(0, X_458) != X_458 |
% 10.04/10.22 ~ greater_equal(add(0, X_458), add(skolemFOFtoCNF_X17, X_458)) |
% 10.04/10.22 greater_equal(X_458, add(skolemFOFtoCNF_X17, X_458))),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf(greater_equal(add(0, X_458),
% 10.04/10.22 add(skolemFOFtoCNF_X17, X_458))), [0],
% 10.04/10.22 $fot(X_458)]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_635, plain,
% 10.04/10.22 (~ greater_equal(add(0, X_458), add(skolemFOFtoCNF_X17, X_458)) |
% 10.04/10.22 greater_equal(X_458, add(skolemFOFtoCNF_X17, X_458))),
% 10.04/10.22 inference(resolve, [$cnf($equal(add(0, X_458), X_458))],
% 10.04/10.22 [refute_0_633, refute_0_634])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_636, plain,
% 10.04/10.22 (greater_equal(X_458, add(skolemFOFtoCNF_X17, X_458))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(add(0, X_458),
% 10.04/10.22 add(skolemFOFtoCNF_X17, X_458)))],
% 10.04/10.22 [refute_0_632, refute_0_635])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_637, plain,
% 10.04/10.22 (greater_equal(X_460, add(skolemFOFtoCNF_X17, X_460))),
% 10.04/10.22 inference(subst, [], [refute_0_636 : [bind(X_458, $fot(X_460))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_638, plain,
% 10.04/10.22 (add(X_460, skolemFOFtoCNF_X17) = add(skolemFOFtoCNF_X17, X_460)),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_60 :
% 10.04/10.22 [bind(A, $fot(X_460)),
% 10.04/10.22 bind(B, $fot(skolemFOFtoCNF_X17))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_639, plain,
% 10.04/10.22 (add(X_460, skolemFOFtoCNF_X17) != add(skolemFOFtoCNF_X17, X_460) |
% 10.04/10.22 add(skolemFOFtoCNF_X17, X_460) = add(X_460, skolemFOFtoCNF_X17)),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_15 :
% 10.04/10.22 [bind(X, $fot(add(X_460, skolemFOFtoCNF_X17))),
% 10.04/10.22 bind(Y, $fot(add(skolemFOFtoCNF_X17, X_460)))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_640, plain,
% 10.04/10.22 (add(skolemFOFtoCNF_X17, X_460) = add(X_460, skolemFOFtoCNF_X17)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(add(X_460, skolemFOFtoCNF_X17),
% 10.04/10.22 add(skolemFOFtoCNF_X17, X_460)))],
% 10.04/10.22 [refute_0_638, refute_0_639])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_641, plain,
% 10.04/10.22 (add(skolemFOFtoCNF_X17, X_460) != add(X_460, skolemFOFtoCNF_X17) |
% 10.04/10.22 ~ greater_equal(X_460, add(skolemFOFtoCNF_X17, X_460)) |
% 10.04/10.22 greater_equal(X_460, add(X_460, skolemFOFtoCNF_X17))),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf(greater_equal(X_460,
% 10.04/10.22 add(skolemFOFtoCNF_X17, X_460))), [1],
% 10.04/10.22 $fot(add(X_460, skolemFOFtoCNF_X17))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_642, plain,
% 10.04/10.22 (~ greater_equal(X_460, add(skolemFOFtoCNF_X17, X_460)) |
% 10.04/10.22 greater_equal(X_460, add(X_460, skolemFOFtoCNF_X17))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(add(skolemFOFtoCNF_X17, X_460),
% 10.04/10.22 add(X_460, skolemFOFtoCNF_X17)))],
% 10.04/10.22 [refute_0_640, refute_0_641])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_643, plain,
% 10.04/10.22 (greater_equal(X_460, add(X_460, skolemFOFtoCNF_X17))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(X_460, add(skolemFOFtoCNF_X17, X_460)))],
% 10.04/10.22 [refute_0_637, refute_0_642])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_644, plain,
% 10.04/10.22 (greater_equal(X_689, add(X_689, skolemFOFtoCNF_X17))),
% 10.04/10.22 inference(subst, [], [refute_0_643 : [bind(X_460, $fot(X_689))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_645, plain,
% 10.04/10.22 (~ greater_equal(X_689, add(X_689, skolemFOFtoCNF_X17)) |
% 10.04/10.22 greater_equal('==>'(add(X_689, skolemFOFtoCNF_X17), X_691),
% 10.04/10.22 '==>'(X_689, X_691))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_159 :
% 10.04/10.22 [bind(X11, $fot(X_689)),
% 10.04/10.22 bind(X12, $fot(add(X_689, skolemFOFtoCNF_X17))),
% 10.04/10.22 bind(X13, $fot(X_691))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_646, plain,
% 10.04/10.22 (greater_equal('==>'(add(X_689, skolemFOFtoCNF_X17), X_691),
% 10.04/10.22 '==>'(X_689, X_691))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(X_689, add(X_689, skolemFOFtoCNF_X17)))],
% 10.04/10.22 [refute_0_644, refute_0_645])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_647, plain,
% 10.04/10.22 (greater_equal('==>'(add(X_698, skolemFOFtoCNF_X17), X_699),
% 10.04/10.22 '==>'(X_698, X_699))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_646 :
% 10.04/10.22 [bind(X_689, $fot(X_698)), bind(X_691, $fot(X_699))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_648, plain,
% 10.04/10.22 (greater_equal(add(X_698,
% 10.04/10.22 '==>'(add(X_698, skolemFOFtoCNF_X17), X_699)), X_699)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal('==>'(add(X_698, skolemFOFtoCNF_X17),
% 10.04/10.22 X_699), '==>'(X_698, X_699)))],
% 10.04/10.22 [refute_0_647, refute_0_631])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_649, plain,
% 10.04/10.22 (greater_equal(add(0, '==>'(add(0, skolemFOFtoCNF_X17), X_707)),
% 10.04/10.22 X_707)),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_648 :
% 10.04/10.22 [bind(X_698, $fot(0)), bind(X_699, $fot(X_707))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_650, plain, (add(0, skolemFOFtoCNF_X17) = skolemFOFtoCNF_X17),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_64 : [bind(A, $fot(skolemFOFtoCNF_X17))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_651, plain,
% 10.04/10.22 (add(0, skolemFOFtoCNF_X17) != skolemFOFtoCNF_X17 |
% 10.04/10.22 ~
% 10.04/10.22 greater_equal(add(0, '==>'(add(0, skolemFOFtoCNF_X17), X_707)),
% 10.04/10.22 X_707) |
% 10.04/10.22 greater_equal(add(0, '==>'(skolemFOFtoCNF_X17, X_707)), X_707)),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf(greater_equal(add(0,
% 10.04/10.22 '==>'(add(0, skolemFOFtoCNF_X17), X_707)),
% 10.04/10.22 X_707)), [0, 1, 0], $fot(skolemFOFtoCNF_X17)]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_652, plain,
% 10.04/10.22 (~
% 10.04/10.22 greater_equal(add(0, '==>'(add(0, skolemFOFtoCNF_X17), X_707)),
% 10.04/10.22 X_707) |
% 10.04/10.22 greater_equal(add(0, '==>'(skolemFOFtoCNF_X17, X_707)), X_707)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(add(0, skolemFOFtoCNF_X17),
% 10.04/10.22 skolemFOFtoCNF_X17))],
% 10.04/10.22 [refute_0_650, refute_0_651])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_653, plain,
% 10.04/10.22 (greater_equal(add(0, '==>'(skolemFOFtoCNF_X17, X_707)), X_707)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(add(0,
% 10.04/10.22 '==>'(add(0, skolemFOFtoCNF_X17), X_707)),
% 10.04/10.22 X_707))], [refute_0_649, refute_0_652])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_654, plain,
% 10.04/10.22 (add(0, '==>'(skolemFOFtoCNF_X17, X_707)) =
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, X_707)),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_64 :
% 10.04/10.22 [bind(A, $fot('==>'(skolemFOFtoCNF_X17, X_707)))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_655, plain,
% 10.04/10.22 (add(0, '==>'(skolemFOFtoCNF_X17, X_707)) !=
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, X_707) |
% 10.04/10.22 ~ greater_equal(add(0, '==>'(skolemFOFtoCNF_X17, X_707)), X_707) |
% 10.04/10.22 greater_equal('==>'(skolemFOFtoCNF_X17, X_707), X_707)),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf(greater_equal(add(0,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, X_707)), X_707)), [0],
% 10.04/10.22 $fot('==>'(skolemFOFtoCNF_X17, X_707))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_656, plain,
% 10.04/10.22 (~ greater_equal(add(0, '==>'(skolemFOFtoCNF_X17, X_707)), X_707) |
% 10.04/10.22 greater_equal('==>'(skolemFOFtoCNF_X17, X_707), X_707)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(add(0, '==>'(skolemFOFtoCNF_X17, X_707)),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, X_707)))],
% 10.04/10.22 [refute_0_654, refute_0_655])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_657, plain,
% 10.04/10.22 (greater_equal('==>'(skolemFOFtoCNF_X17, X_707), X_707)),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(add(0, '==>'(skolemFOFtoCNF_X17, X_707)),
% 10.04/10.22 X_707))], [refute_0_653, refute_0_656])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_658, plain,
% 10.04/10.22 (greater_equal('==>'(skolemFOFtoCNF_X17, X_954), X_954)),
% 10.04/10.22 inference(subst, [], [refute_0_657 : [bind(X_707, $fot(X_954))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_659, plain,
% 10.04/10.22 (~ greater_equal(X_954, '==>'(skolemFOFtoCNF_X17, X_954)) |
% 10.04/10.22 ~ greater_equal('==>'(skolemFOFtoCNF_X17, X_954), X_954) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, X_954) = X_954),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_75 :
% 10.04/10.22 [bind(X3, $fot('==>'(skolemFOFtoCNF_X17, X_954))),
% 10.04/10.22 bind(X4, $fot(X_954))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_660, plain,
% 10.04/10.22 (~ greater_equal(X_954, '==>'(skolemFOFtoCNF_X17, X_954)) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, X_954) = X_954),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal('==>'(skolemFOFtoCNF_X17, X_954),
% 10.04/10.22 X_954))], [refute_0_658, refute_0_659])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_661, plain,
% 10.04/10.22 (greater_equal(X_954, '==>'(skolemFOFtoCNF_X17, X_954))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_174 :
% 10.04/10.22 [bind(X_442, $fot(skolemFOFtoCNF_X17)),
% 10.04/10.22 bind(X_444, $fot(X_954))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_662, plain, ('==>'(skolemFOFtoCNF_X17, X_954) = X_954),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf(greater_equal(X_954,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, X_954)))],
% 10.04/10.22 [refute_0_661, refute_0_660])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_663, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, h(h(h(0)))) = h(h(h(0)))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_662 : [bind(X_954, $fot(h(h(h(0)))))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_664, plain,
% 10.04/10.22 ('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) =
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_176 :
% 10.04/10.22 [bind(X_954,
% 10.04/10.22 $fot('==>'(skolemFOFtoCNF_X17, h(h(h(0))))))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_665, plain,
% 10.04/10.22 ('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) !=
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) |
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0)))) != h(h(h(0))) |
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) = h(h(h(0)))),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_184 :
% 10.04/10.22 [bind(X,
% 10.04/10.22 $fot('==>'(0,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 10.04/10.22 bind(Y, $fot('==>'(skolemFOFtoCNF_X17, h(h(h(0)))))),
% 10.04/10.22 bind(Z, $fot(h(h(h(0)))))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_666, plain,
% 10.04/10.22 ('==>'(skolemFOFtoCNF_X17, h(h(h(0)))) != h(h(h(0))) |
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) = h(h(h(0)))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))],
% 10.04/10.22 [refute_0_664, refute_0_665])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_667, plain,
% 10.04/10.22 ('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) = h(h(h(0)))),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(skolemFOFtoCNF_X17, h(h(h(0)))),
% 10.04/10.22 h(h(h(0)))))], [refute_0_663, refute_0_666])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_668, plain,
% 10.04/10.22 ('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) != h(h(h(0))) |
% 10.04/10.22 h(h(h(0))) != 0 |
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) = 0),
% 10.04/10.22 inference(subst, [],
% 10.04/10.22 [refute_0_184 :
% 10.04/10.22 [bind(X,
% 10.04/10.22 $fot('==>'(0,
% 10.04/10.22 '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 10.04/10.22 bind(Y, $fot(h(h(h(0))))), bind(Z, $fot(0))]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_669, plain,
% 10.04/10.22 (h(h(h(0))) != 0 |
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) = 0),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 h(h(h(0)))))], [refute_0_667, refute_0_668])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_670, plain,
% 10.04/10.22 ('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) = 0),
% 10.04/10.22 inference(resolve, [$cnf($equal(h(h(h(0))), 0))],
% 10.04/10.22 [refute_0_630, refute_0_669])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_671, plain,
% 10.04/10.22 ('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) != 0 |
% 10.04/10.22 skolemFOFtoCNF_X17 !=
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 skolemFOFtoCNF_X17 = 0),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf($equal(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))))),
% 10.04/10.22 [1], $fot(0)]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_672, plain,
% 10.04/10.22 (skolemFOFtoCNF_X17 !=
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 skolemFOFtoCNF_X17 = 0),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal('==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))),
% 10.04/10.22 0))], [refute_0_670, refute_0_671])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_673, plain,
% 10.04/10.22 (add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)) !=
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0))))) |
% 10.04/10.22 skolemFOFtoCNF_X17 = 0),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))],
% 10.04/10.22 [refute_0_593, refute_0_672])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_674, plain, (skolemFOFtoCNF_X17 = 0),
% 10.04/10.22 inference(resolve,
% 10.04/10.22 [$cnf($equal(add(skolemFOFtoCNF_X17,
% 10.04/10.22 '==>'('==>'(skolemFOFtoCNF_X17, h(h(h(0)))), 0)),
% 10.04/10.22 '==>'(0, '==>'(skolemFOFtoCNF_X17, h(h(h(0)))))))],
% 10.04/10.22 [refute_0_108, refute_0_673])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_675, plain,
% 10.04/10.22 (0 != 0 | skolemFOFtoCNF_X17 != 0 | skolemFOFtoCNF_X17 = 0),
% 10.04/10.22 introduced(tautology,
% 10.04/10.22 [equality,
% 10.04/10.22 [$cnf($equal(skolemFOFtoCNF_X17, 0)), [1], $fot(0)]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_676, plain, (0 != 0 | skolemFOFtoCNF_X17 = 0),
% 10.04/10.22 inference(resolve, [$cnf($equal(skolemFOFtoCNF_X17, 0))],
% 10.04/10.22 [refute_0_674, refute_0_675])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_677, plain, (0 != 0),
% 10.04/10.22 inference(resolve, [$cnf($equal(skolemFOFtoCNF_X17, 0))],
% 10.04/10.22 [refute_0_676, refute_0_0])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_678, plain, (0 = 0),
% 10.04/10.22 introduced(tautology, [refl, [$fot(0)]])).
% 10.04/10.22
% 10.04/10.22 cnf(refute_0_679, plain, ($false),
% 10.04/10.22 inference(resolve, [$cnf($equal(0, 0))],
% 10.04/10.22 [refute_0_678, refute_0_677])).
% 10.04/10.22 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.04/10.22
%------------------------------------------------------------------------------