TSTP Solution File: BOO008-4 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : BOO008-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 : 300s
% DateTime : Fri May 3 02:08:33 EDT 2024
% Result : Unsatisfiable 65.82s 9.18s
% Output : CNFRefutation 65.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 9
% Syntax : Number of clauses : 127 ( 127 unt; 0 nHn; 6 RR)
% Number of literals : 127 ( 126 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 230 ( 53 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
add(add(a,b),c) != add(a,add(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity) ).
cnf(c_50,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',commutativity_of_add) ).
cnf(c_51,plain,
multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',commutativity_of_multiply) ).
cnf(c_52,plain,
multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',distributivity1) ).
cnf(c_53,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',distributivity2) ).
cnf(c_54,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',additive_id1) ).
cnf(c_55,plain,
multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',multiplicative_id1) ).
cnf(c_56,plain,
add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',additive_inverse1) ).
cnf(c_57,plain,
multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
cnf(c_84,plain,
add(a,add(b,c)) != add(c,add(a,b)),
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_132,plain,
add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_145,plain,
multiply(multiplicative_identity,X0) = X0,
inference(superposition,[status(thm)],[c_55,c_51]) ).
cnf(c_160,plain,
multiply(X0,add(X0,X1)) = add(X0,multiply(additive_identity,X1)),
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_161,plain,
add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[status(thm)],[c_56,c_52]) ).
cnf(c_165,plain,
multiply(add(X0,X1),X0) = add(X0,multiply(X1,additive_identity)),
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_178,plain,
add(multiply(X0,X1),multiply(X1,X2)) = multiply(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_51,c_53]) ).
cnf(c_181,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[status(thm)],[c_55,c_53]) ).
cnf(c_182,plain,
multiply(X0,add(inverse(X0),X1)) = add(additive_identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_57,c_53]) ).
cnf(c_183,plain,
add(X0,multiply(multiplicative_identity,X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[status(thm)],[c_145,c_53]) ).
cnf(c_187,plain,
add(multiply(X0,X1),X0) = multiply(X0,add(X1,multiplicative_identity)),
inference(superposition,[status(thm)],[c_55,c_53]) ).
cnf(c_207,plain,
multiply(X0,add(X1,X0)) = add(X0,multiply(additive_identity,X1)),
inference(superposition,[status(thm)],[c_50,c_160]) ).
cnf(c_210,plain,
add(X0,multiply(additive_identity,additive_identity)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_54,c_160]) ).
cnf(c_215,plain,
add(multiplicative_identity,multiply(additive_identity,X0)) = add(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_160,c_145]) ).
cnf(c_244,plain,
add(multiplicative_identity,multiply(X0,additive_identity)) = add(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_51,c_215]) ).
cnf(c_248,plain,
add(multiplicative_identity,add(additive_identity,multiply(additive_identity,X0))) = add(multiplicative_identity,add(additive_identity,X0)),
inference(superposition,[status(thm)],[c_160,c_215]) ).
cnf(c_254,plain,
add(multiplicative_identity,add(additive_identity,multiply(additive_identity,X0))) = add(multiplicative_identity,X0),
inference(light_normalisation,[status(thm)],[c_248,c_132]) ).
cnf(c_325,plain,
multiply(X0,add(X0,X1)) = add(X0,multiply(X1,additive_identity)),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_344,plain,
add(X0,multiply(X1,X0)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[status(thm)],[c_51,c_181]) ).
cnf(c_358,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(X1,multiplicative_identity)),
inference(superposition,[status(thm)],[c_50,c_181]) ).
cnf(c_360,plain,
add(X0,multiply(X0,additive_identity)) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_54,c_181]) ).
cnf(c_377,plain,
add(multiplicative_identity,add(additive_identity,multiply(additive_identity,X0))) = add(multiplicative_identity,add(multiplicative_identity,X0)),
inference(superposition,[status(thm)],[c_181,c_215]) ).
cnf(c_379,plain,
add(X0,multiply(X0,additive_identity)) = X0,
inference(light_normalisation,[status(thm)],[c_360,c_55]) ).
cnf(c_387,plain,
add(multiplicative_identity,add(multiplicative_identity,X0)) = add(multiplicative_identity,X0),
inference(light_normalisation,[status(thm)],[c_377,c_254]) ).
cnf(c_424,plain,
multiply(additive_identity,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_379,c_210]) ).
cnf(c_425,plain,
add(multiplicative_identity,multiplicative_identity) = multiplicative_identity,
inference(superposition,[status(thm)],[c_379,c_244]) ).
cnf(c_431,plain,
multiply(X0,X0) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_210,c_424]) ).
cnf(c_432,plain,
multiply(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_431,c_54]) ).
cnf(c_449,plain,
add(X0,multiply(X0,multiplicative_identity)) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_425,c_181]) ).
cnf(c_450,plain,
add(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_449,c_55]) ).
cnf(c_455,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[status(thm)],[c_432,c_53]) ).
cnf(c_457,plain,
add(multiply(X0,X1),X0) = multiply(X0,add(X1,X0)),
inference(superposition,[status(thm)],[c_432,c_53]) ).
cnf(c_460,plain,
add(multiply(X0,X1),X0) = add(X0,multiply(additive_identity,X1)),
inference(light_normalisation,[status(thm)],[c_457,c_207]) ).
cnf(c_503,plain,
add(X0,multiply(X1,X0)) = multiply(add(X0,X1),X0),
inference(superposition,[status(thm)],[c_450,c_52]) ).
cnf(c_511,plain,
add(multiplicative_identity,add(X0,multiplicative_identity)) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_50,c_387]) ).
cnf(c_545,plain,
add(X0,multiply(additive_identity,X1)) = multiply(X0,add(X1,multiplicative_identity)),
inference(light_normalisation,[status(thm)],[c_187,c_460]) ).
cnf(c_560,plain,
add(X0,multiply(additive_identity,X1)) = multiply(add(X1,multiplicative_identity),X0),
inference(superposition,[status(thm)],[c_545,c_51]) ).
cnf(c_597,plain,
add(inverse(X0),multiply(additive_identity,X0)) = multiply(inverse(X0),multiplicative_identity),
inference(superposition,[status(thm)],[c_56,c_207]) ).
cnf(c_814,plain,
add(additive_identity,multiply(X0,additive_identity)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_132,c_325]) ).
cnf(c_1283,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(superposition,[status(thm)],[c_50,c_455]) ).
cnf(c_1488,plain,
add(X0,multiply(X1,X0)) = multiply(X0,add(X0,X1)),
inference(superposition,[status(thm)],[c_503,c_51]) ).
cnf(c_1712,plain,
add(inverse(add(X0,multiplicative_identity)),multiply(additive_identity,X0)) = additive_identity,
inference(superposition,[status(thm)],[c_560,c_57]) ).
cnf(c_1768,plain,
add(inverse(add(X0,multiplicative_identity)),multiply(X0,additive_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_51,c_1712]) ).
cnf(c_1781,plain,
add(inverse(add(add(X0,additive_identity),multiplicative_identity)),add(additive_identity,multiply(additive_identity,X0))) = additive_identity,
inference(superposition,[status(thm)],[c_207,c_1712]) ).
cnf(c_1797,plain,
add(inverse(add(X0,multiplicative_identity)),add(additive_identity,multiply(additive_identity,X0))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1781,c_54]) ).
cnf(c_3012,plain,
add(inverse(add(X0,multiplicative_identity)),add(additive_identity,multiply(additive_identity,X0))) = multiply(inverse(add(X0,multiplicative_identity)),multiplicative_identity),
inference(superposition,[status(thm)],[c_358,c_597]) ).
cnf(c_3040,plain,
multiply(inverse(add(X0,multiplicative_identity)),multiplicative_identity) = additive_identity,
inference(light_normalisation,[status(thm)],[c_3012,c_1797]) ).
cnf(c_3180,plain,
inverse(add(X0,multiplicative_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_3040,c_55]) ).
cnf(c_3190,plain,
add(additive_identity,multiply(X0,additive_identity)) = additive_identity,
inference(demodulation,[status(thm)],[c_1768,c_3180]) ).
cnf(c_3194,plain,
multiply(additive_identity,X0) = additive_identity,
inference(light_normalisation,[status(thm)],[c_3190,c_814]) ).
cnf(c_3203,plain,
add(multiply(X0,X1),X0) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_460,c_3194]) ).
cnf(c_3204,plain,
multiply(X0,add(X1,X0)) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_207,c_3194]) ).
cnf(c_3206,plain,
multiply(X0,add(X0,X1)) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_160,c_3194]) ).
cnf(c_3213,plain,
multiply(X0,add(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_3206,c_54,c_1488]) ).
cnf(c_3215,plain,
add(X0,multiply(X1,additive_identity)) = X0,
inference(demodulation,[status(thm)],[c_325,c_3213]) ).
cnf(c_3220,plain,
add(multiplicative_identity,X0) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_244,c_3215]) ).
cnf(c_3229,plain,
add(X0,multiply(X1,X0)) = multiply(X0,multiplicative_identity),
inference(demodulation,[status(thm)],[c_344,c_3220]) ).
cnf(c_3237,plain,
add(X0,multiplicative_identity) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_511,c_3220]) ).
cnf(c_3238,plain,
add(X0,multiply(X0,X1)) = multiply(X0,multiplicative_identity),
inference(demodulation,[status(thm)],[c_358,c_3237]) ).
cnf(c_3243,plain,
add(X0,multiply(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_3238,c_55]) ).
cnf(c_3245,plain,
add(X0,multiply(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3229,c_55]) ).
cnf(c_3246,plain,
multiply(add(X0,X1),X0) = X0,
inference(demodulation,[status(thm)],[c_503,c_3245]) ).
cnf(c_3249,plain,
multiply(X0,add(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3204,c_54,c_1283]) ).
cnf(c_3250,plain,
add(multiply(X0,X1),X0) = X0,
inference(light_normalisation,[status(thm)],[c_3203,c_54]) ).
cnf(c_3329,plain,
multiply(X0,add(X1,add(X0,X2))) = add(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_3213,c_53]) ).
cnf(c_3331,plain,
multiply(X0,add(X1,add(X0,X2))) = X0,
inference(light_normalisation,[status(thm)],[c_3329,c_3250]) ).
cnf(c_3349,plain,
add(X0,multiply(X1,multiply(X0,X2))) = multiply(add(X0,X1),X0),
inference(superposition,[status(thm)],[c_3243,c_52]) ).
cnf(c_3351,plain,
add(X0,multiply(X1,multiply(X0,X2))) = X0,
inference(light_normalisation,[status(thm)],[c_3349,c_3246]) ).
cnf(c_3367,plain,
add(add(X0,X1),X0) = add(X0,X1),
inference(superposition,[status(thm)],[c_3213,c_3245]) ).
cnf(c_3442,plain,
add(X0,multiply(inverse(X0),X1)) = add(X0,multiply(multiplicative_identity,X1)),
inference(light_normalisation,[status(thm)],[c_161,c_183]) ).
cnf(c_3449,plain,
add(X0,multiply(multiplicative_identity,inverse(inverse(X0)))) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_57,c_3442]) ).
cnf(c_3451,plain,
add(X0,multiply(multiplicative_identity,add(X1,inverse(X0)))) = add(X0,inverse(X0)),
inference(superposition,[status(thm)],[c_3249,c_3442]) ).
cnf(c_3468,plain,
add(X0,multiply(multiplicative_identity,inverse(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_3449,c_54]) ).
cnf(c_3469,plain,
add(X0,multiply(multiplicative_identity,add(X1,inverse(X0)))) = multiplicative_identity,
inference(light_normalisation,[status(thm)],[c_3451,c_56]) ).
cnf(c_3481,plain,
add(X0,inverse(inverse(X0))) = X0,
inference(superposition,[status(thm)],[c_145,c_3468]) ).
cnf(c_3507,plain,
add(X0,multiply(inverse(inverse(X0)),X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[status(thm)],[c_3481,c_52]) ).
cnf(c_3515,plain,
add(X0,multiply(inverse(inverse(X0)),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_3507,c_3213]) ).
cnf(c_3568,plain,
add(additive_identity,multiply(X0,inverse(inverse(X0)))) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_56,c_182]) ).
cnf(c_3572,plain,
add(additive_identity,multiply(X0,multiply(X1,inverse(X0)))) = multiply(X0,inverse(X0)),
inference(superposition,[status(thm)],[c_3245,c_182]) ).
cnf(c_3592,plain,
add(additive_identity,multiply(X0,inverse(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_3568,c_55]) ).
cnf(c_3594,plain,
add(additive_identity,multiply(X0,multiply(X1,inverse(X0)))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_3572,c_57]) ).
cnf(c_3617,plain,
multiply(X0,inverse(inverse(X0))) = X0,
inference(superposition,[status(thm)],[c_3592,c_132]) ).
cnf(c_3985,plain,
multiply(inverse(X0),add(X0,X1)) = add(additive_identity,multiply(inverse(X0),X1)),
inference(superposition,[status(thm)],[c_57,c_178]) ).
cnf(c_3999,plain,
add(X0,multiply(inverse(inverse(X0)),X1)) = multiply(inverse(inverse(X0)),add(X0,X1)),
inference(superposition,[status(thm)],[c_3617,c_178]) ).
cnf(c_4000,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_51,c_178]) ).
cnf(c_4050,plain,
multiply(inverse(inverse(X0)),add(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_3999,c_3515]) ).
cnf(c_4348,plain,
multiply(X0,add(add(X0,X1),X2)) = X0,
inference(superposition,[status(thm)],[c_50,c_3331]) ).
cnf(c_4440,plain,
multiply(X0,add(add(X1,X0),X2)) = X0,
inference(superposition,[status(thm)],[c_50,c_4348]) ).
cnf(c_4514,plain,
multiply(inverse(inverse(X0)),add(X0,X1)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_3481,c_4440]) ).
cnf(c_4527,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4514,c_4050]) ).
cnf(c_4546,plain,
add(X0,multiply(multiply(X0,X1),X2)) = X0,
inference(superposition,[status(thm)],[c_51,c_3351]) ).
cnf(c_4622,plain,
add(X0,multiply(multiply(X1,X0),X2)) = X0,
inference(superposition,[status(thm)],[c_51,c_4546]) ).
cnf(c_4701,plain,
add(add(X0,X1),multiply(X1,X2)) = add(X0,X1),
inference(superposition,[status(thm)],[c_3249,c_4622]) ).
cnf(c_4776,plain,
add(X0,add(X0,X1)) = add(X0,X1),
inference(superposition,[status(thm)],[c_3367,c_50]) ).
cnf(c_4855,plain,
add(X0,add(X1,X0)) = add(X1,X0),
inference(superposition,[status(thm)],[c_50,c_4776]) ).
cnf(c_6781,plain,
add(additive_identity,multiply(X0,X1)) = multiply(X1,add(additive_identity,X0)),
inference(superposition,[status(thm)],[c_3194,c_4000]) ).
cnf(c_6860,plain,
add(additive_identity,multiply(X0,X1)) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_6781,c_132]) ).
cnf(c_6880,plain,
multiply(inverse(X0),add(X0,X1)) = multiply(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c_3985,c_6860]) ).
cnf(c_8895,plain,
add(X0,add(X1,inverse(X0))) = multiplicative_identity,
inference(superposition,[status(thm)],[c_145,c_3469]) ).
cnf(c_9010,plain,
add(inverse(X0),add(X1,X0)) = multiplicative_identity,
inference(superposition,[status(thm)],[c_4527,c_8895]) ).
cnf(c_9870,plain,
add(inverse(X0),multiply(X1,add(X2,X0))) = multiply(add(inverse(X0),X1),multiplicative_identity),
inference(superposition,[status(thm)],[c_9010,c_52]) ).
cnf(c_12636,plain,
multiply(X0,multiply(X1,inverse(X0))) = additive_identity,
inference(superposition,[status(thm)],[c_3594,c_132]) ).
cnf(c_12714,plain,
multiply(inverse(X0),multiply(X1,X0)) = additive_identity,
inference(superposition,[status(thm)],[c_4527,c_12636]) ).
cnf(c_12940,plain,
multiply(inverse(add(add(X0,X1),X2)),X0) = additive_identity,
inference(superposition,[status(thm)],[c_4348,c_12714]) ).
cnf(c_27449,plain,
multiply(X0,inverse(add(add(X0,X1),X2))) = additive_identity,
inference(superposition,[status(thm)],[c_12940,c_51]) ).
cnf(c_27656,plain,
multiply(X0,inverse(add(X1,add(X0,X2)))) = additive_identity,
inference(superposition,[status(thm)],[c_4855,c_27449]) ).
cnf(c_73047,plain,
add(inverse(X0),add(X1,multiply(X2,X0))) = multiply(add(inverse(X0),add(X1,X2)),multiplicative_identity),
inference(superposition,[status(thm)],[c_52,c_9870]) ).
cnf(c_212219,plain,
add(multiply(X0,X1),add(X2,X0)) = add(X2,X0),
inference(superposition,[status(thm)],[c_4701,c_50]) ).
cnf(c_214044,plain,
add(add(X0,multiply(X1,X2)),add(X3,add(X0,X1))) = add(X3,add(X0,X1)),
inference(superposition,[status(thm)],[c_52,c_212219]) ).
cnf(c_227262,plain,
add(inverse(X0),add(X1,multiply(X2,X0))) = add(inverse(X0),add(X1,X2)),
inference(superposition,[status(thm)],[c_73047,c_55]) ).
cnf(c_228187,plain,
add(X0,add(X1,multiply(X2,inverse(X0)))) = add(X0,add(X1,X2)),
inference(superposition,[status(thm)],[c_4527,c_227262]) ).
cnf(c_228243,plain,
add(inverse(X0),add(X1,multiply(X0,X2))) = add(inverse(X0),add(X1,X2)),
inference(superposition,[status(thm)],[c_51,c_227262]) ).
cnf(c_243530,plain,
add(inverse(inverse(X0)),add(X1,multiply(X2,inverse(X0)))) = add(inverse(inverse(X0)),add(X1,add(X0,X2))),
inference(superposition,[status(thm)],[c_6880,c_228243]) ).
cnf(c_243735,plain,
add(X0,add(X1,add(X0,X2))) = add(X0,add(X1,X2)),
inference(light_normalisation,[status(thm)],[c_243530,c_4527,c_228187]) ).
cnf(c_250539,plain,
add(add(X0,additive_identity),add(X1,add(X0,X2))) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_27656,c_214044]) ).
cnf(c_251054,plain,
add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(light_normalisation,[status(thm)],[c_250539,c_54,c_243735]) ).
cnf(c_251173,plain,
add(a,add(b,c)) != add(a,add(c,b)),
inference(demodulation,[status(thm)],[c_84,c_251054]) ).
cnf(c_252279,plain,
$false,
inference(superposition,[status(thm)],[c_50,c_251173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : BOO008-4 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 2 21:38:59 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.49 Running UEQ theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 65.82/9.18 % SZS status Started for theBenchmark.p
% 65.82/9.18 % SZS status Unsatisfiable for theBenchmark.p
% 65.82/9.18
% 65.82/9.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 65.82/9.18
% 65.82/9.18 ------ iProver source info
% 65.82/9.18
% 65.82/9.18 git: date: 2024-05-02 19:28:25 +0000
% 65.82/9.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 65.82/9.18 git: non_committed_changes: false
% 65.82/9.18
% 65.82/9.18 ------ Parsing...successful
% 65.82/9.18
% 65.82/9.18
% 65.82/9.18
% 65.82/9.18 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 65.82/9.18
% 65.82/9.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 65.82/9.18
% 65.82/9.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 65.82/9.18 ------ Proving...
% 65.82/9.18 ------ Problem Properties
% 65.82/9.18
% 65.82/9.18
% 65.82/9.18 clauses 9
% 65.82/9.18 conjectures 0
% 65.82/9.18 EPR 0
% 65.82/9.18 Horn 9
% 65.82/9.18 unary 9
% 65.82/9.18 binary 0
% 65.82/9.18 lits 9
% 65.82/9.18 lits eq 9
% 65.82/9.18 fd_pure 0
% 65.82/9.18 fd_pseudo 0
% 65.82/9.18 fd_cond 0
% 65.82/9.18 fd_pseudo_cond 0
% 65.82/9.18 AC symbols 0
% 65.82/9.18
% 65.82/9.18 ------ Input Options Time Limit: Unbounded
% 65.82/9.18
% 65.82/9.18
% 65.82/9.18 ------
% 65.82/9.18 Current options:
% 65.82/9.18 ------
% 65.82/9.18
% 65.82/9.18
% 65.82/9.18
% 65.82/9.18
% 65.82/9.18 ------ Proving...
% 65.82/9.18
% 65.82/9.18
% 65.82/9.18 % SZS status Unsatisfiable for theBenchmark.p
% 65.82/9.18
% 65.82/9.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.82/9.18
% 65.82/9.19
%------------------------------------------------------------------------------