TSTP Solution File: GRP453-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP453-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 02:22:38 EDT 2024
% Result : Unsatisfiable 8.05s 1.72s
% Output : CNFRefutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 4
% Syntax : Number of clauses : 59 ( 59 unt; 0 nHn; 3 RR)
% Number of literals : 59 ( 58 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 133 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
divide(divide(X0,X0),X1) = inverse(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,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_64,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_65,plain,
divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(demodulation,[status(thm)],[c_49,c_51]) ).
cnf(c_114,plain,
divide(inverse(divide(X0,X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_51,c_51]) ).
cnf(c_119,plain,
multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_64,c_51]) ).
cnf(c_142,plain,
divide(inverse(inverse(divide(X0,X0))),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_114,c_51]) ).
cnf(c_143,plain,
multiply(inverse(divide(X0,X0)),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_114,c_64]) ).
cnf(c_144,plain,
divide(inverse(divide(divide(X0,X0),divide(X1,inverse(X2)))),X2) = X1,
inference(superposition,[status(thm)],[c_114,c_65]) ).
cnf(c_217,plain,
divide(inverse(inverse(divide(X0,inverse(X1)))),X1) = X0,
inference(superposition,[status(thm)],[c_51,c_144]) ).
cnf(c_236,plain,
divide(inverse(inverse(multiply(X0,X1))),X1) = X0,
inference(light_normalisation,[status(thm)],[c_217,c_64]) ).
cnf(c_257,plain,
multiply(inverse(inverse(multiply(X0,inverse(X1)))),X1) = X0,
inference(superposition,[status(thm)],[c_236,c_64]) ).
cnf(c_259,plain,
inverse(inverse(multiply(X0,divide(inverse(X1),X2)))) = divide(inverse(divide(X1,X0)),X2),
inference(superposition,[status(thm)],[c_236,c_65]) ).
cnf(c_260,plain,
divide(inverse(divide(divide(X0,X0),X1)),X2) = inverse(inverse(multiply(X1,inverse(X2)))),
inference(superposition,[status(thm)],[c_236,c_144]) ).
cnf(c_261,plain,
inverse(inverse(multiply(X0,inverse(X1)))) = divide(inverse(inverse(X0)),X1),
inference(light_normalisation,[status(thm)],[c_260,c_51]) ).
cnf(c_269,plain,
multiply(divide(inverse(inverse(X0)),X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_257,c_261]) ).
cnf(c_272,plain,
multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_142,c_269]) ).
cnf(c_273,plain,
inverse(inverse(inverse(inverse(X0)))) = X0,
inference(superposition,[status(thm)],[c_269,c_119]) ).
cnf(c_282,plain,
multiply(X0,inverse(inverse(inverse(X1)))) = divide(X0,X1),
inference(superposition,[status(thm)],[c_273,c_64]) ).
cnf(c_284,plain,
multiply(divide(X0,X1),X1) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_273,c_269]) ).
cnf(c_303,plain,
divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_272,c_272]) ).
cnf(c_307,plain,
inverse(inverse(divide(X0,X0))) = divide(X1,X1),
inference(superposition,[status(thm)],[c_272,c_143]) ).
cnf(c_315,plain,
multiply(inverse(X0),X0) = inverse(divide(X1,X1)),
inference(superposition,[status(thm)],[c_272,c_51]) ).
cnf(c_319,plain,
inverse(inverse(divide(X0,X0))) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_272,c_114]) ).
cnf(c_383,plain,
divide(inverse(divide(X0,divide(X1,divide(X2,X2)))),inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_303,c_65]) ).
cnf(c_384,plain,
divide(inverse(divide(X0,divide(X1,X1))),X2) = divide(inverse(X0),X2),
inference(superposition,[status(thm)],[c_303,c_65]) ).
cnf(c_522,plain,
divide(X0,multiply(inverse(X1),X1)) = multiply(X0,divide(X2,X2)),
inference(superposition,[status(thm)],[c_315,c_64]) ).
cnf(c_692,plain,
multiply(X0,inverse(divide(X1,X1))) = divide(X0,divide(X2,X2)),
inference(superposition,[status(thm)],[c_307,c_64]) ).
cnf(c_1017,plain,
divide(X0,multiply(inverse(X1),X1)) = multiply(X0,inverse(divide(X2,X2))),
inference(superposition,[status(thm)],[c_319,c_64]) ).
cnf(c_1307,plain,
divide(X0,multiply(inverse(X1),X1)) = multiply(X0,multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_64,c_522]) ).
cnf(c_3381,plain,
inverse(inverse(divide(X0,divide(X1,X1)))) = X0,
inference(superposition,[status(thm)],[c_383,c_114]) ).
cnf(c_3569,plain,
inverse(inverse(inverse(divide(X0,divide(X1,X1))))) = multiply(divide(inverse(X0),X2),X2),
inference(superposition,[status(thm)],[c_384,c_284]) ).
cnf(c_3587,plain,
multiply(divide(inverse(X0),X1),X1) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_3569,c_3381]) ).
cnf(c_4014,plain,
divide(X0,divide(X1,X1)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_3381,c_273]) ).
cnf(c_4020,plain,
multiply(X0,inverse(divide(X1,X1))) = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[c_692,c_4014]) ).
cnf(c_4021,plain,
divide(X0,multiply(inverse(X1),X1)) = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[c_1017,c_4020]) ).
cnf(c_4112,plain,
multiply(divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_273,c_3587]) ).
cnf(c_4118,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_284,c_4112]) ).
cnf(c_4125,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_282,c_4118]) ).
cnf(c_4184,plain,
inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_65,c_4112]) ).
cnf(c_4422,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_1307,c_4021,c_4118]) ).
cnf(c_4433,plain,
multiply(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_272,c_4422]) ).
cnf(c_4510,plain,
divide(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_4433,c_4112]) ).
cnf(c_4680,plain,
multiply(X0,inverse(X1)) = inverse(divide(X1,X0)),
inference(superposition,[status(thm)],[c_4510,c_4184]) ).
cnf(c_4717,plain,
inverse(divide(X0,X1)) = divide(X1,X0),
inference(light_normalisation,[status(thm)],[c_4680,c_4125]) ).
cnf(c_4810,plain,
divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_64,c_4717]) ).
cnf(c_4854,plain,
multiply(X0,divide(inverse(X1),X2)) = divide(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_4810,c_4125]) ).
cnf(c_4856,plain,
divide(X0,divide(inverse(X1),X2)) = multiply(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_4810,c_64]) ).
cnf(c_8125,plain,
inverse(inverse(divide(X0,multiply(X1,X2)))) = divide(inverse(divide(X2,X0)),X1),
inference(light_normalisation,[status(thm)],[c_259,c_4854]) ).
cnf(c_8206,plain,
divide(inverse(divide(X0,X1)),X2) = divide(X1,multiply(X2,X0)),
inference(superposition,[status(thm)],[c_8125,c_4118]) ).
cnf(c_8209,plain,
divide(divide(X0,X1),X2) = divide(X0,multiply(X2,X1)),
inference(light_normalisation,[status(thm)],[c_8206,c_4717]) ).
cnf(c_16566,plain,
divide(X0,multiply(inverse(X1),X2)) = multiply(divide(X0,X2),X1),
inference(superposition,[status(thm)],[c_8209,c_64]) ).
cnf(c_17262,plain,
divide(X0,divide(inverse(X1),X2)) = multiply(divide(X0,inverse(X2)),X1),
inference(superposition,[status(thm)],[c_4125,c_16566]) ).
cnf(c_17366,plain,
multiply(divide(X0,inverse(X1)),X2) = multiply(X0,multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_17262,c_4856]) ).
cnf(c_17367,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_17366,c_64]) ).
cnf(c_17398,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_52,c_17367]) ).
cnf(c_17399,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_17398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP453-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:33:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 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
% 8.05/1.72 % SZS status Started for theBenchmark.p
% 8.05/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.05/1.72
% 8.05/1.72 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.05/1.72
% 8.05/1.72 ------ iProver source info
% 8.05/1.72
% 8.05/1.72 git: date: 2024-05-02 19:28:25 +0000
% 8.05/1.72 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.05/1.72 git: non_committed_changes: false
% 8.05/1.72
% 8.05/1.72 ------ Parsing...successful
% 8.05/1.72
% 8.05/1.72
% 8.05/1.72
% 8.05/1.72 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.05/1.72
% 8.05/1.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.05/1.72
% 8.05/1.72 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.05/1.72 ------ Proving...
% 8.05/1.72 ------ Problem Properties
% 8.05/1.72
% 8.05/1.72
% 8.05/1.72 clauses 4
% 8.05/1.72 conjectures 1
% 8.05/1.72 EPR 0
% 8.05/1.72 Horn 4
% 8.05/1.72 unary 4
% 8.05/1.72 binary 0
% 8.05/1.72 lits 4
% 8.05/1.72 lits eq 4
% 8.05/1.72 fd_pure 0
% 8.05/1.72 fd_pseudo 0
% 8.05/1.72 fd_cond 0
% 8.05/1.72 fd_pseudo_cond 0
% 8.05/1.72 AC symbols 0
% 8.05/1.72
% 8.05/1.72 ------ Input Options Time Limit: Unbounded
% 8.05/1.72
% 8.05/1.72
% 8.05/1.72 ------
% 8.05/1.72 Current options:
% 8.05/1.72 ------
% 8.05/1.72
% 8.05/1.72
% 8.05/1.72
% 8.05/1.72
% 8.05/1.72 ------ Proving...
% 8.05/1.72
% 8.05/1.72
% 8.05/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.05/1.72
% 8.05/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.05/1.72
% 8.05/1.72
%------------------------------------------------------------------------------