TSTP Solution File: GRP572-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP572-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:22:57 EDT 2024
% Result : Unsatisfiable 0.44s 1.13s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
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(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[c_49,c_51]) ).
cnf(c_77,plain,
multiply(a,b) = sP0_iProver_def,
definition ).
cnf(c_78,plain,
multiply(b,a) = sP1_iProver_def,
definition ).
cnf(c_79,negated_conjecture,
sP0_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_53,c_78,c_77]) ).
cnf(c_127,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_68]) ).
cnf(c_128,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_52,c_68]) ).
cnf(c_156,plain,
double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_157,plain,
double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_161,plain,
double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_127,c_69]) ).
cnf(c_165,plain,
double_divide(double_divide(X0,double_divide(double_divide(X1,identity),multiply(identity,X0))),inverse(identity)) = X1,
inference(light_normalisation,[status(thm)],[c_157,c_127]) ).
cnf(c_425,plain,
double_divide(double_divide(X0,double_divide(identity,inverse(identity))),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c_52,c_156]) ).
cnf(c_501,plain,
double_divide(inverse(X0),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[c_425,c_51,c_52]) ).
cnf(c_502,plain,
double_divide(multiply(X0,X1),inverse(identity)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_68,c_501]) ).
cnf(c_509,plain,
double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = inverse(X0),
inference(superposition,[status(thm)],[c_501,c_156]) ).
cnf(c_543,plain,
double_divide(sP1_iProver_def,inverse(identity)) = double_divide(a,b),
inference(superposition,[status(thm)],[c_78,c_502]) ).
cnf(c_765,plain,
double_divide(double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[c_165,c_51]) ).
cnf(c_775,plain,
double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(X1,double_divide(inverse(X0),multiply(identity,X1))),
inference(superposition,[status(thm)],[c_765,c_156]) ).
cnf(c_777,plain,
double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_775,c_509]) ).
cnf(c_874,plain,
double_divide(X0,double_divide(multiply(X1,X2),multiply(identity,X0))) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_68,c_777]) ).
cnf(c_918,plain,
inverse(double_divide(X0,inverse(identity))) = X0,
inference(superposition,[status(thm)],[c_509,c_156]) ).
cnf(c_954,plain,
multiply(inverse(identity),X0) = X0,
inference(demodulation,[status(thm)],[c_918,c_68]) ).
cnf(c_962,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_954,c_128]) ).
cnf(c_963,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[c_954,c_962]) ).
cnf(c_964,plain,
double_divide(a,b) = double_divide(sP1_iProver_def,identity),
inference(demodulation,[status(thm)],[c_543,c_962]) ).
cnf(c_982,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_127,c_963]) ).
cnf(c_1006,plain,
double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2))),identity) = X1,
inference(light_normalisation,[status(thm)],[c_161,c_962]) ).
cnf(c_1007,plain,
multiply(double_divide(double_divide(X0,double_divide(X1,inverse(X2))),X2),X1) = X0,
inference(demodulation,[status(thm)],[c_1006,c_51,c_68,c_963]) ).
cnf(c_1220,plain,
double_divide(a,b) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_964,c_51]) ).
cnf(c_1311,plain,
double_divide(X0,double_divide(multiply(X1,X2),X0)) = multiply(X1,X2),
inference(light_normalisation,[status(thm)],[c_874,c_963]) ).
cnf(c_1320,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1007,c_1311]) ).
cnf(c_1363,plain,
double_divide(b,inverse(sP1_iProver_def)) = a,
inference(superposition,[status(thm)],[c_1220,c_1320]) ).
cnf(c_1374,plain,
multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_1320,c_1007]) ).
cnf(c_1674,plain,
multiply(a,b) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_1363,c_1374]) ).
cnf(c_1683,plain,
inverse(inverse(sP1_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_1674,c_77]) ).
cnf(c_1732,plain,
sP0_iProver_def = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_1683,c_982]) ).
cnf(c_1733,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1732,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP572-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 23:31:19 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running UEQ theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.44/1.13 % SZS status Started for theBenchmark.p
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13
% 0.44/1.13 ------ iProver source info
% 0.44/1.13
% 0.44/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13 git: non_committed_changes: false
% 0.44/1.13
% 0.44/1.13 ------ Parsing...successful
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.44/1.13 ------ Proving...
% 0.44/1.13 ------ Problem Properties
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses 7
% 0.44/1.13 conjectures 1
% 0.44/1.13 EPR 1
% 0.44/1.13 Horn 7
% 0.44/1.13 unary 7
% 0.44/1.13 binary 0
% 0.44/1.13 lits 7
% 0.44/1.13 lits eq 7
% 0.44/1.13 fd_pure 0
% 0.44/1.13 fd_pseudo 0
% 0.44/1.13 fd_cond 0
% 0.44/1.13 fd_pseudo_cond 0
% 0.44/1.13 AC symbols 0
% 0.44/1.13
% 0.44/1.13 ------ Input Options Time Limit: Unbounded
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------
% 0.44/1.13 Current options:
% 0.44/1.13 ------
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Proving...
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13
% 0.44/1.13
%------------------------------------------------------------------------------