TSTP Solution File: GRP587-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP587-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Mon Jun 24 07:00:52 EDT 2024
% Result : Unsatisfiable 3.44s 1.02s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 2 RR)
% Number of literals : 53 ( 52 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_60,plain,
double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1)))) = X2,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_104,plain,
double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X1)))) = double_divide(X3,X2),
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_105,plain,
double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2))) = X3,
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_107,plain,
multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2) = inverse(X1),
inference(superposition,[status(thm)],[c_60,c_50]) ).
cnf(c_111,plain,
multiply(multiply(X0,multiply(multiply(X1,X2),double_divide(X3,X0))),X3) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_50,c_107]) ).
cnf(c_115,plain,
double_divide(multiply(inverse(X0),double_divide(double_divide(X1,X2),X3)),X3) = double_divide(X1,multiply(X2,inverse(X0))),
inference(superposition,[status(thm)],[c_107,c_104]) ).
cnf(c_151,plain,
double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_107,c_105]) ).
cnf(c_183,plain,
double_divide(multiply(multiply(X0,X1),X2),inverse(X2)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_151]) ).
cnf(c_187,plain,
double_divide(multiply(inverse(X0),X1),multiply(inverse(X1),multiply(inverse(X2),X0))) = X2,
inference(superposition,[status(thm)],[c_151,c_60]) ).
cnf(c_188,plain,
multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_151,c_50]) ).
cnf(c_247,plain,
multiply(inverse(X0),multiply(multiply(X1,X2),X0)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_50,c_188]) ).
cnf(c_252,plain,
double_divide(inverse(X0),inverse(multiply(inverse(X0),X1))) = X1,
inference(superposition,[status(thm)],[c_188,c_151]) ).
cnf(c_281,plain,
double_divide(multiply(inverse(X0),double_divide(X1,X2)),X2) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[status(thm)],[c_107,c_183]) ).
cnf(c_408,plain,
multiply(X0,multiply(multiply(X1,X2),double_divide(X3,X0))) = multiply(inverse(X3),multiply(X1,X2)),
inference(superposition,[status(thm)],[c_111,c_247]) ).
cnf(c_430,plain,
double_divide(X0,multiply(inverse(X0),multiply(X1,X2))) = double_divide(X2,X1),
inference(demodulation,[status(thm)],[c_104,c_408]) ).
cnf(c_496,plain,
double_divide(inverse(X0),inverse(multiply(X1,X2))) = multiply(multiply(X1,X2),X0),
inference(superposition,[status(thm)],[c_247,c_252]) ).
cnf(c_500,plain,
multiply(multiply(inverse(X0),X1),X0) = X1,
inference(demodulation,[status(thm)],[c_252,c_496]) ).
cnf(c_515,plain,
multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_500,c_247]) ).
cnf(c_532,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_515,c_515]) ).
cnf(c_533,plain,
double_divide(X0,inverse(multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_515,c_151]) ).
cnf(c_555,plain,
double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_515,c_533]) ).
cnf(c_566,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_532,c_515]) ).
cnf(c_588,plain,
double_divide(multiply(X0,X1),inverse(X2)) = multiply(X2,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_50,c_555]) ).
cnf(c_593,plain,
multiply(X0,double_divide(X0,multiply(X1,X2))) = double_divide(X2,X1),
inference(demodulation,[status(thm)],[c_183,c_588]) ).
cnf(c_594,plain,
multiply(X0,double_divide(X0,inverse(X1))) = X1,
inference(demodulation,[status(thm)],[c_151,c_588]) ).
cnf(c_613,plain,
inverse(multiply(X0,double_divide(X1,X2))) = multiply(inverse(X0),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_50,c_566]) ).
cnf(c_636,plain,
double_divide(X0,multiply(X1,inverse(X2))) = multiply(double_divide(X0,X1),X2),
inference(demodulation,[status(thm)],[c_115,c_281,c_555]) ).
cnf(c_778,plain,
multiply(X0,multiply(double_divide(X0,X1),X2)) = double_divide(inverse(X2),X1),
inference(superposition,[status(thm)],[c_636,c_593]) ).
cnf(c_780,plain,
double_divide(X0,multiply(inverse(X0),X1)) = multiply(X2,double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_500,c_593]) ).
cnf(c_786,plain,
double_divide(double_divide(X0,inverse(X1)),X0) = multiply(X2,double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_594,c_593]) ).
cnf(c_1522,plain,
double_divide(multiply(X0,X1),multiply(inverse(X2),multiply(X3,X4))) = multiply(multiply(X2,double_divide(X4,X3)),double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_613,c_588]) ).
cnf(c_2383,plain,
double_divide(double_divide(X0,inverse(inverse(X1))),X0) = X1,
inference(superposition,[status(thm)],[c_786,c_594]) ).
cnf(c_2566,plain,
multiply(multiply(X0,double_divide(X1,inverse(X2))),double_divide(X0,inverse(X1))) = X2,
inference(demodulation,[status(thm)],[c_187,c_1522]) ).
cnf(c_2570,plain,
multiply(X0,double_divide(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_594,c_2566]) ).
cnf(c_2700,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_555,c_2570]) ).
cnf(c_2710,plain,
double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_2570,c_533]) ).
cnf(c_3081,plain,
double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_2710,c_2383]) ).
cnf(c_3747,plain,
double_divide(inverse(X0),double_divide(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_3081,c_2383]) ).
cnf(c_4645,plain,
double_divide(inverse(X0),double_divide(X1,inverse(X1))) = multiply(inverse(X2),multiply(X2,X0)),
inference(superposition,[status(thm)],[c_3747,c_778]) ).
cnf(c_4659,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_4645,c_3747]) ).
cnf(c_4765,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_4659,c_2700]) ).
cnf(c_4767,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_2383,c_4765]) ).
cnf(c_4768,plain,
multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(demodulation,[status(thm)],[c_786,c_4767]) ).
cnf(c_4772,plain,
double_divide(X0,multiply(inverse(X0),X1)) = inverse(X1),
inference(demodulation,[status(thm)],[c_780,c_4768]) ).
cnf(c_4773,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_430,c_4772]) ).
cnf(c_4776,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_533,c_4773]) ).
cnf(c_5127,plain,
double_divide(inverse(X0),double_divide(X1,X2)) = multiply(X2,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_4776,c_778]) ).
cnf(c_5233,plain,
double_divide(inverse(X0),double_divide(X1,X2)) = multiply(multiply(X2,X1),X0),
inference(superposition,[status(thm)],[c_4773,c_555]) ).
cnf(c_5234,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_5233,c_5127]) ).
cnf(c_5236,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_5234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP587-1 : TPTP v8.2.0. Released v2.6.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu Jun 20 12:22:24 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.14/0.38 Running UEQ theorem proving
% 0.14/0.38 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.44/1.02 % SZS status Started for theBenchmark.p
% 3.44/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 3.44/1.02
% 3.44/1.02 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.44/1.02
% 3.44/1.02 ------ iProver source info
% 3.44/1.02
% 3.44/1.02 git: date: 2024-06-12 09:56:46 +0000
% 3.44/1.02 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.44/1.02 git: non_committed_changes: false
% 3.44/1.02
% 3.44/1.02 ------ Parsing...successful
% 3.44/1.02
% 3.44/1.02
% 3.44/1.02
% 3.44/1.02 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.44/1.02
% 3.44/1.02 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.44/1.02
% 3.44/1.02 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.44/1.02 ------ Proving...
% 3.44/1.02 ------ Problem Properties
% 3.44/1.02
% 3.44/1.02
% 3.44/1.02 clauses 3
% 3.44/1.02 conjectures 1
% 3.44/1.02 EPR 0
% 3.44/1.02 Horn 3
% 3.44/1.02 unary 3
% 3.44/1.02 binary 0
% 3.44/1.02 lits 3
% 3.44/1.02 lits eq 3
% 3.44/1.02 fd_pure 0
% 3.44/1.02 fd_pseudo 0
% 3.44/1.02 fd_cond 0
% 3.44/1.02 fd_pseudo_cond 0
% 3.44/1.02 AC symbols 0
% 3.44/1.02
% 3.44/1.02 ------ Input Options Time Limit: Unbounded
% 3.44/1.02
% 3.44/1.02
% 3.44/1.02 ------
% 3.44/1.02 Current options:
% 3.44/1.02 ------
% 3.44/1.02
% 3.44/1.02
% 3.44/1.02
% 3.44/1.02
% 3.44/1.02 ------ Proving...
% 3.44/1.02
% 3.44/1.02
% 3.44/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 3.44/1.02
% 3.44/1.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.44/1.02
% 3.44/1.02
%------------------------------------------------------------------------------