TSTP Solution File: GRP492-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:22:44 EDT 2024
% Result : Unsatisfiable 0.64s 1.11s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_68,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_69,plain,
double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
inference(demodulation,[status(thm)],[c_49,c_51,c_68]) ).
cnf(c_77,plain,
multiply(a3,b3) = sP0_iProver_def,
definition ).
cnf(c_78,plain,
multiply(sP0_iProver_def,c3) = sP1_iProver_def,
definition ).
cnf(c_79,plain,
multiply(b3,c3) = sP2_iProver_def,
definition ).
cnf(c_80,plain,
multiply(a3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_81,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_53,c_79,c_80,c_77,c_78]) ).
cnf(c_133,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_68]) ).
cnf(c_134,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_52,c_68]) ).
cnf(c_135,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_68,c_52]) ).
cnf(c_139,plain,
double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X0,identity),double_divide(X1,X0)))) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_140,plain,
double_divide(identity,double_divide(identity,double_divide(multiply(X0,inverse(identity)),double_divide(X1,X0)))) = X1,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_145,plain,
double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(identity,X0),inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_146,plain,
double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(inverse(X1),X0),identity))) = X1,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_148,plain,
multiply(double_divide(identity,double_divide(multiply(X0,X1),double_divide(X2,X0))),double_divide(identity,X1)) = inverse(X2),
inference(superposition,[status(thm)],[c_69,c_68]) ).
cnf(c_149,plain,
double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(multiply(X1,X2),double_divide(X3,X1))),X0),X3))) = double_divide(identity,X2),
inference(superposition,[status(thm)],[c_69,c_69]) ).
cnf(c_160,plain,
multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_133]) ).
cnf(c_163,plain,
double_divide(inverse(X0),multiply(identity,X0)) = identity,
inference(superposition,[status(thm)],[c_133,c_52]) ).
cnf(c_168,plain,
multiply(multiply(identity,X0),inverse(X0)) = inverse(identity),
inference(superposition,[status(thm)],[c_133,c_134]) ).
cnf(c_178,plain,
double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(multiply(identity,X1),X0),identity))) = inverse(X1),
inference(superposition,[status(thm)],[c_163,c_69]) ).
cnf(c_317,plain,
double_divide(inverse(identity),double_divide(identity,double_divide(multiply(identity,identity),inverse(X0)))) = X0,
inference(superposition,[status(thm)],[c_51,c_139]) ).
cnf(c_318,plain,
double_divide(inverse(identity),double_divide(identity,double_divide(multiply(inverse(X0),identity),identity))) = X0,
inference(superposition,[status(thm)],[c_52,c_139]) ).
cnf(c_328,plain,
multiply(double_divide(identity,double_divide(multiply(X0,identity),double_divide(X1,X0))),inverse(identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_139,c_68]) ).
cnf(c_641,plain,
double_divide(identity,double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(multiply(X0,identity),double_divide(X1,X0))),inverse(identity)),X1))) = inverse(identity),
inference(superposition,[status(thm)],[c_139,c_140]) ).
cnf(c_662,plain,
double_divide(identity,double_divide(identity,double_divide(inverse(X0),X0))) = inverse(identity),
inference(light_normalisation,[status(thm)],[c_641,c_328]) ).
cnf(c_786,plain,
double_divide(inverse(identity),double_divide(identity,identity)) = multiply(identity,identity),
inference(superposition,[status(thm)],[c_52,c_317]) ).
cnf(c_823,plain,
double_divide(inverse(identity),inverse(identity)) = multiply(identity,identity),
inference(demodulation,[status(thm)],[c_786,c_51]) ).
cnf(c_860,plain,
double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(X0),identity)))) = X0,
inference(demodulation,[status(thm)],[c_318,c_51]) ).
cnf(c_861,plain,
double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = identity,
inference(superposition,[status(thm)],[c_134,c_860]) ).
cnf(c_913,plain,
double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) = identity,
inference(demodulation,[status(thm)],[c_861,c_133]) ).
cnf(c_916,plain,
multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) = inverse(identity),
inference(superposition,[status(thm)],[c_913,c_68]) ).
cnf(c_950,plain,
double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = inverse(identity),
inference(superposition,[status(thm)],[c_51,c_662]) ).
cnf(c_1007,plain,
double_divide(identity,double_divide(identity,multiply(identity,identity))) = inverse(identity),
inference(demodulation,[status(thm)],[c_950,c_133]) ).
cnf(c_1013,plain,
double_divide(identity,double_divide(identity,double_divide(multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)),inverse(identity)))) = identity,
inference(superposition,[status(thm)],[c_1007,c_140]) ).
cnf(c_1016,plain,
inverse(identity) = identity,
inference(light_normalisation,[status(thm)],[c_1013,c_823,c_916,c_1007]) ).
cnf(c_1029,plain,
multiply(multiply(identity,X0),inverse(X0)) = identity,
inference(demodulation,[status(thm)],[c_168,c_1016]) ).
cnf(c_1034,plain,
multiply(inverse(X0),X0) = identity,
inference(demodulation,[status(thm)],[c_134,c_1016]) ).
cnf(c_1059,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_1016,c_133]) ).
cnf(c_1060,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_1016,c_52]) ).
cnf(c_1126,plain,
double_divide(double_divide(identity,X0),double_divide(identity,identity)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_52,c_145]) ).
cnf(c_1137,plain,
double_divide(double_divide(identity,X0),identity) = multiply(identity,X0),
inference(light_normalisation,[status(thm)],[c_1126,c_1060]) ).
cnf(c_1170,plain,
multiply(X0,identity) = multiply(identity,X0),
inference(demodulation,[status(thm)],[c_1137,c_51,c_68]) ).
cnf(c_1172,plain,
double_divide(double_divide(identity,X0),multiply(identity,X0)) = identity,
inference(superposition,[status(thm)],[c_1170,c_135]) ).
cnf(c_1288,plain,
multiply(multiply(X0,identity),inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1170,c_1029]) ).
cnf(c_1459,plain,
double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(multiply(identity,X1),X0),identity))) = double_divide(identity,X1),
inference(superposition,[status(thm)],[c_1172,c_69]) ).
cnf(c_1468,plain,
double_divide(identity,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_1459,c_178]) ).
cnf(c_1487,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1468,c_68]) ).
cnf(c_1494,plain,
multiply(double_divide(X0,X1),identity) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_1487]) ).
cnf(c_1553,plain,
double_divide(inverse(X0),double_divide(identity,double_divide(multiply(inverse(X1),X0),identity))) = X1,
inference(light_normalisation,[status(thm)],[c_146,c_1468]) ).
cnf(c_1554,plain,
double_divide(inverse(X0),multiply(identity,multiply(inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[c_1553,c_68,c_1468]) ).
cnf(c_1561,plain,
double_divide(inverse(X0),multiply(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_1034,c_1554]) ).
cnf(c_1573,plain,
double_divide(inverse(X0),identity) = X0,
inference(light_normalisation,[status(thm)],[c_1561,c_1059]) ).
cnf(c_1676,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1573,c_51,c_1487]) ).
cnf(c_1678,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1487,c_1676]) ).
cnf(c_1679,plain,
multiply(X0,inverse(X0)) = identity,
inference(demodulation,[status(thm)],[c_1288,c_1676]) ).
cnf(c_1681,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[c_1170,c_1676]) ).
cnf(c_1689,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_160,c_1681]) ).
cnf(c_1711,plain,
multiply(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_68,c_1679]) ).
cnf(c_1734,plain,
double_divide(b3,a3) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_77,c_1689]) ).
cnf(c_1736,plain,
double_divide(c3,sP0_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_78,c_1689]) ).
cnf(c_1779,plain,
multiply(multiply(double_divide(X0,X1),multiply(X1,X2)),inverse(X2)) = inverse(X0),
inference(demodulation,[status(thm)],[c_148,c_68,c_1468]) ).
cnf(c_1788,plain,
multiply(multiply(double_divide(X0,b3),sP2_iProver_def),inverse(c3)) = inverse(X0),
inference(superposition,[status(thm)],[c_79,c_1779]) ).
cnf(c_1795,plain,
multiply(multiply(double_divide(X0,X1),identity),inverse(inverse(X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_1679,c_1779]) ).
cnf(c_1807,plain,
multiply(inverse(multiply(X0,X1)),inverse(inverse(X0))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_1795,c_1494]) ).
cnf(c_1808,plain,
multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_1807,c_1678,c_1689]) ).
cnf(c_2055,plain,
multiply(inverse(sP0_iProver_def),a3) = inverse(b3),
inference(superposition,[status(thm)],[c_1734,c_1808]) ).
cnf(c_2057,plain,
multiply(inverse(sP1_iProver_def),sP0_iProver_def) = inverse(c3),
inference(superposition,[status(thm)],[c_1736,c_1808]) ).
cnf(c_2062,plain,
double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_1808,c_1689]) ).
cnf(c_2118,plain,
double_divide(a3,inverse(sP0_iProver_def)) = inverse(inverse(b3)),
inference(superposition,[status(thm)],[c_2055,c_1689]) ).
cnf(c_2255,plain,
double_divide(a3,inverse(sP0_iProver_def)) = b3,
inference(demodulation,[status(thm)],[c_2118,c_1678]) ).
cnf(c_2256,plain,
multiply(b3,inverse(sP0_iProver_def)) = inverse(a3),
inference(superposition,[status(thm)],[c_2255,c_1808]) ).
cnf(c_2286,plain,
double_divide(inverse(sP0_iProver_def),b3) = inverse(inverse(a3)),
inference(superposition,[status(thm)],[c_2256,c_1689]) ).
cnf(c_2438,plain,
double_divide(inverse(X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(multiply(X1,X2),double_divide(X3,X1))),X0),X3))) = double_divide(identity,X2),
inference(light_normalisation,[status(thm)],[c_149,c_1468]) ).
cnf(c_2439,plain,
double_divide(inverse(X0),multiply(X1,multiply(multiply(double_divide(X1,X2),multiply(X2,X3)),X0))) = inverse(X3),
inference(demodulation,[status(thm)],[c_2438,c_68,c_1468]) ).
cnf(c_2449,plain,
double_divide(inverse(X0),multiply(X1,multiply(identity,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_1711,c_2439]) ).
cnf(c_2492,plain,
double_divide(inverse(X0),multiply(X1,X0)) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_2449,c_1681]) ).
cnf(c_2845,plain,
double_divide(inverse(sP0_iProver_def),b3) = a3,
inference(demodulation,[status(thm)],[c_2286,c_1678]) ).
cnf(c_2853,plain,
multiply(multiply(a3,sP2_iProver_def),inverse(c3)) = inverse(inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_2845,c_1788]) ).
cnf(c_2860,plain,
multiply(sP3_iProver_def,inverse(c3)) = inverse(inverse(sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_2853,c_80]) ).
cnf(c_2937,plain,
multiply(sP3_iProver_def,inverse(c3)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_2860,c_1678]) ).
cnf(c_2939,plain,
double_divide(inverse(c3),sP3_iProver_def) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_2937,c_1689]) ).
cnf(c_2993,plain,
multiply(inverse(sP0_iProver_def),sP3_iProver_def) = inverse(inverse(c3)),
inference(superposition,[status(thm)],[c_2939,c_1808]) ).
cnf(c_3011,plain,
multiply(inverse(sP0_iProver_def),sP3_iProver_def) = c3,
inference(demodulation,[status(thm)],[c_2993,c_1678]) ).
cnf(c_3013,plain,
double_divide(sP3_iProver_def,inverse(sP0_iProver_def)) = inverse(c3),
inference(superposition,[status(thm)],[c_3011,c_1689]) ).
cnf(c_3112,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_2062,c_1678]) ).
cnf(c_3135,plain,
double_divide(inverse(sP0_iProver_def),inverse(c3)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_3013,c_3112]) ).
cnf(c_3368,plain,
double_divide(inverse(sP0_iProver_def),inverse(c3)) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_2057,c_2492]) ).
cnf(c_3392,plain,
inverse(inverse(sP1_iProver_def)) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_3368,c_3135]) ).
cnf(c_3433,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_3392,c_1678]) ).
cnf(c_3434,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3433,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 23:49:05 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.42 Running UEQ theorem proving
% 0.16/0.42 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
% 0.64/1.11 % SZS status Started for theBenchmark.p
% 0.64/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.64/1.11
% 0.64/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.64/1.11
% 0.64/1.11 ------ iProver source info
% 0.64/1.11
% 0.64/1.11 git: date: 2024-05-02 19:28:25 +0000
% 0.64/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.64/1.11 git: non_committed_changes: false
% 0.64/1.11
% 0.64/1.11 ------ Parsing...successful
% 0.64/1.11
% 0.64/1.11
% 0.64/1.11
% 0.64/1.11 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.64/1.11
% 0.64/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.64/1.11
% 0.64/1.11 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.64/1.11 ------ Proving...
% 0.64/1.11 ------ Problem Properties
% 0.64/1.11
% 0.64/1.11
% 0.64/1.11 clauses 9
% 0.64/1.11 conjectures 1
% 0.64/1.11 EPR 1
% 0.64/1.11 Horn 9
% 0.64/1.11 unary 9
% 0.64/1.11 binary 0
% 0.64/1.11 lits 9
% 0.64/1.11 lits eq 9
% 0.64/1.11 fd_pure 0
% 0.64/1.11 fd_pseudo 0
% 0.64/1.11 fd_cond 0
% 0.64/1.11 fd_pseudo_cond 0
% 0.64/1.11 AC symbols 0
% 0.64/1.11
% 0.64/1.11 ------ Input Options Time Limit: Unbounded
% 0.64/1.11
% 0.64/1.11
% 0.64/1.11 ------
% 0.64/1.11 Current options:
% 0.64/1.11 ------
% 0.64/1.11
% 0.64/1.11
% 0.64/1.11
% 0.64/1.11
% 0.64/1.11 ------ Proving...
% 0.64/1.11
% 0.64/1.11
% 0.64/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.64/1.11
% 0.64/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.64/1.11
% 0.64/1.12
%------------------------------------------------------------------------------