TSTP Solution File: GRP580-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP580-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 02:22:59 EDT 2024
% Result : Unsatisfiable 3.92s 1.12s
% Output : CNFRefutation 3.92s
% 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(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
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(double_divide(X1,X0),X2),inverse(X1))),inverse(identity)) = X2,
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_129,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_68,c_52]) ).
cnf(c_133,plain,
multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_127]) ).
cnf(c_157,plain,
double_divide(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),inverse(X1))),inverse(identity)) = identity,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_160,plain,
double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_129,c_69]) ).
cnf(c_161,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X0),X1),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_162,plain,
double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_165,plain,
double_divide(double_divide(X0,double_divide(double_divide(double_divide(double_divide(X1,X2),X0),X3),multiply(X2,X1))),inverse(identity)) = X3,
inference(superposition,[status(thm)],[c_68,c_69]) ).
cnf(c_356,plain,
double_divide(double_divide(X0,double_divide(identity,multiply(X1,X2))),inverse(identity)) = inverse(double_divide(double_divide(X2,X1),X0)),
inference(superposition,[status(thm)],[c_52,c_165]) ).
cnf(c_502,plain,
double_divide(double_divide(X0,identity),inverse(identity)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_52,c_160]) ).
cnf(c_516,plain,
double_divide(inverse(X0),inverse(identity)) = multiply(X0,identity),
inference(light_normalisation,[status(thm)],[c_502,c_51]) ).
cnf(c_553,plain,
double_divide(multiply(X0,X1),inverse(identity)) = multiply(double_divide(X1,X0),identity),
inference(superposition,[status(thm)],[c_68,c_516]) ).
cnf(c_560,plain,
multiply(inverse(identity),inverse(X0)) = inverse(multiply(X0,identity)),
inference(superposition,[status(thm)],[c_516,c_68]) ).
cnf(c_1352,plain,
double_divide(double_divide(X0,double_divide(multiply(X0,X1),inverse(X1))),inverse(identity)) = identity,
inference(demodulation,[status(thm)],[c_157,c_68]) ).
cnf(c_1384,plain,
double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(superposition,[status(thm)],[c_1352,c_69]) ).
cnf(c_1389,plain,
double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)) = multiply(X0,identity),
inference(light_normalisation,[status(thm)],[c_1384,c_51,c_516]) ).
cnf(c_1610,plain,
double_divide(multiply(inverse(identity),X0),inverse(X0)) = multiply(identity,identity),
inference(superposition,[status(thm)],[c_51,c_1389]) ).
cnf(c_1611,plain,
double_divide(multiply(identity,X0),inverse(X0)) = multiply(inverse(identity),identity),
inference(superposition,[status(thm)],[c_52,c_1389]) ).
cnf(c_1669,plain,
double_divide(inverse(multiply(X0,identity)),inverse(inverse(X0))) = multiply(identity,identity),
inference(superposition,[status(thm)],[c_560,c_1610]) ).
cnf(c_1690,plain,
double_divide(inverse(multiply(X0,identity)),multiply(identity,X0)) = multiply(identity,identity),
inference(light_normalisation,[status(thm)],[c_1669,c_127]) ).
cnf(c_1754,plain,
double_divide(multiply(identity,X0),inverse(X0)) = inverse(identity),
inference(demodulation,[status(thm)],[c_1611,c_128]) ).
cnf(c_1757,plain,
double_divide(multiply(identity,double_divide(X0,X1)),multiply(X1,X0)) = inverse(identity),
inference(superposition,[status(thm)],[c_68,c_1754]) ).
cnf(c_1770,plain,
double_divide(inverse(multiply(X0,X1)),multiply(X0,X1)) = inverse(identity),
inference(light_normalisation,[status(thm)],[c_1757,c_133]) ).
cnf(c_2494,plain,
double_divide(inverse(sP1_iProver_def),sP1_iProver_def) = inverse(identity),
inference(superposition,[status(thm)],[c_78,c_1770]) ).
cnf(c_2642,plain,
multiply(sP1_iProver_def,inverse(sP1_iProver_def)) = inverse(inverse(identity)),
inference(superposition,[status(thm)],[c_2494,c_68]) ).
cnf(c_2733,plain,
multiply(sP1_iProver_def,inverse(sP1_iProver_def)) = multiply(identity,identity),
inference(demodulation,[status(thm)],[c_2642,c_127]) ).
cnf(c_2925,plain,
multiply(identity,identity) = inverse(identity),
inference(superposition,[status(thm)],[c_1690,c_1770]) ).
cnf(c_2932,plain,
multiply(sP1_iProver_def,inverse(sP1_iProver_def)) = inverse(identity),
inference(demodulation,[status(thm)],[c_2733,c_2925]) ).
cnf(c_2987,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(identity),
inference(superposition,[status(thm)],[c_2925,c_1754]) ).
cnf(c_3053,plain,
double_divide(double_divide(inverse(sP1_iProver_def),sP1_iProver_def),inverse(identity)) = identity,
inference(superposition,[status(thm)],[c_2932,c_129]) ).
cnf(c_3055,plain,
inverse(identity) = identity,
inference(light_normalisation,[status(thm)],[c_3053,c_2494,c_2987]) ).
cnf(c_3090,plain,
double_divide(multiply(X0,X1),identity) = multiply(double_divide(X1,X0),identity),
inference(demodulation,[status(thm)],[c_553,c_3055]) ).
cnf(c_3170,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X0),X1),inverse(X0))),identity) = X1,
inference(light_normalisation,[status(thm)],[c_161,c_3055]) ).
cnf(c_3171,plain,
inverse(multiply(inverse(X0),double_divide(inverse(X0),X1))) = X1,
inference(demodulation,[status(thm)],[c_3170,c_51,c_68,c_3090]) ).
cnf(c_3186,plain,
inverse(multiply(X0,double_divide(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_3171,c_3171]) ).
cnf(c_3196,plain,
double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0))),identity) = X1,
inference(light_normalisation,[status(thm)],[c_162,c_3055]) ).
cnf(c_3197,plain,
multiply(double_divide(double_divide(identity,X0),inverse(X1)),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_3196,c_51,c_68]) ).
cnf(c_3198,plain,
multiply(identity,inverse(double_divide(identity,X0))) = X0,
inference(superposition,[status(thm)],[c_52,c_3197]) ).
cnf(c_3248,plain,
multiply(identity,multiply(X0,identity)) = X0,
inference(demodulation,[status(thm)],[c_3198,c_68]) ).
cnf(c_3640,plain,
inverse(multiply(X0,inverse(X0))) = identity,
inference(superposition,[status(thm)],[c_51,c_3186]) ).
cnf(c_3641,plain,
inverse(multiply(X0,identity)) = inverse(X0),
inference(superposition,[status(thm)],[c_52,c_3186]) ).
cnf(c_3778,plain,
inverse(multiply(double_divide(X0,X1),multiply(X1,X0))) = identity,
inference(superposition,[status(thm)],[c_68,c_3640]) ).
cnf(c_3894,plain,
multiply(identity,multiply(X0,identity)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_3641,c_127]) ).
cnf(c_3901,plain,
multiply(identity,X0) = X0,
inference(light_normalisation,[status(thm)],[c_3894,c_127,c_3248]) ).
cnf(c_3919,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_133,c_3901]) ).
cnf(c_3923,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_3186,c_3919]) ).
cnf(c_4034,plain,
double_divide(multiply(X0,X1),double_divide(X1,X0)) = identity,
inference(demodulation,[status(thm)],[c_3778,c_3919]) ).
cnf(c_4157,plain,
double_divide(identity,multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_4034,c_3923]) ).
cnf(c_4160,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_3923,c_3923]) ).
cnf(c_4419,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_4034,c_4160]) ).
cnf(c_5354,plain,
double_divide(double_divide(X0,double_divide(identity,multiply(X1,X2))),identity) = inverse(double_divide(double_divide(X2,X1),X0)),
inference(light_normalisation,[status(thm)],[c_356,c_3055]) ).
cnf(c_5355,plain,
multiply(double_divide(X0,X1),X2) = multiply(X2,double_divide(X0,X1)),
inference(demodulation,[status(thm)],[c_5354,c_4419,c_68,c_4157]) ).
cnf(c_5392,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_4160,c_5355]) ).
cnf(c_5411,plain,
multiply(a,b) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_78,c_5392]) ).
cnf(c_5412,plain,
sP0_iProver_def = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_5411,c_77]) ).
cnf(c_5413,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5412,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP580-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n006.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 23:45:49 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
% 3.92/1.12 % SZS status Started for theBenchmark.p
% 3.92/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.12
% 3.92/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.92/1.12
% 3.92/1.12 ------ iProver source info
% 3.92/1.12
% 3.92/1.12 git: date: 2024-05-02 19:28:25 +0000
% 3.92/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.92/1.12 git: non_committed_changes: false
% 3.92/1.12
% 3.92/1.12 ------ Parsing...successful
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.92/1.12
% 3.92/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.92/1.12
% 3.92/1.12 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.92/1.12 ------ Proving...
% 3.92/1.12 ------ Problem Properties
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12 clauses 7
% 3.92/1.12 conjectures 1
% 3.92/1.12 EPR 1
% 3.92/1.12 Horn 7
% 3.92/1.12 unary 7
% 3.92/1.12 binary 0
% 3.92/1.12 lits 7
% 3.92/1.12 lits eq 7
% 3.92/1.12 fd_pure 0
% 3.92/1.12 fd_pseudo 0
% 3.92/1.12 fd_cond 0
% 3.92/1.12 fd_pseudo_cond 0
% 3.92/1.12 AC symbols 0
% 3.92/1.12
% 3.92/1.12 ------ Input Options Time Limit: Unbounded
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12 ------
% 3.92/1.12 Current options:
% 3.92/1.12 ------
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12 ------ Proving...
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.12
% 3.92/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.92/1.12
% 3.92/1.12
%------------------------------------------------------------------------------