TSTP Solution File: GRP501-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP501-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:22:46 EDT 2024
% Result : Unsatisfiable 35.05s 5.11s
% Output : CNFRefutation 35.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of clauses : 58 ( 58 unt; 0 nHn; 3 RR)
% Number of literals : 58 ( 57 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 : 178 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = 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(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X0))) = X3,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_111,plain,
double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X3,X0))) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X3),X2)),
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_240,plain,
multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,double_divide(inverse(X2),X3)),X2)) = X3,
inference(superposition,[status(thm)],[c_111,c_60]) ).
cnf(c_251,plain,
double_divide(inverse(X0),double_divide(inverse(X1),multiply(double_divide(X2,double_divide(inverse(X0),X2)),multiply(X3,X1)))) = X3,
inference(superposition,[status(thm)],[c_111,c_60]) ).
cnf(c_313,plain,
double_divide(inverse(multiply(double_divide(X0,double_divide(inverse(X1),X2)),X1)),multiply(double_divide(X3,double_divide(X4,X3)),X2)) = double_divide(X0,X4),
inference(superposition,[status(thm)],[c_240,c_60]) ).
cnf(c_357,plain,
double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(double_divide(X3,double_divide(multiply(X0,X1),X3)),multiply(X4,X2)))) = X4,
inference(superposition,[status(thm)],[c_50,c_251]) ).
cnf(c_488,plain,
double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X0,X2)),multiply(X3,X1)))) = X3,
inference(superposition,[status(thm)],[c_240,c_357]) ).
cnf(c_694,plain,
multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(X3,X0))),X2) = inverse(X3),
inference(superposition,[status(thm)],[c_488,c_50]) ).
cnf(c_770,plain,
multiply(double_divide(inverse(multiply(double_divide(X0,double_divide(inverse(X1),X2)),X1)),multiply(double_divide(X3,double_divide(X4,X3)),X2)),X4) = inverse(double_divide(X5,double_divide(X0,X5))),
inference(superposition,[status(thm)],[c_240,c_694]) ).
cnf(c_786,plain,
inverse(double_divide(X0,double_divide(X1,X0))) = multiply(double_divide(X1,X2),X2),
inference(light_normalisation,[status(thm)],[c_770,c_313]) ).
cnf(c_840,plain,
multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
inference(superposition,[status(thm)],[c_786,c_786]) ).
cnf(c_842,plain,
double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),inverse(double_divide(X3,double_divide(X2,X3))))) = X0,
inference(superposition,[status(thm)],[c_786,c_60]) ).
cnf(c_906,plain,
double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X3))) = X0,
inference(superposition,[status(thm)],[c_50,c_842]) ).
cnf(c_1033,plain,
multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),inverse(X3)) = inverse(X3),
inference(superposition,[status(thm)],[c_906,c_50]) ).
cnf(c_1056,plain,
multiply(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,X3),X3))),X1) = double_divide(X0,X2),
inference(superposition,[status(thm)],[c_906,c_313]) ).
cnf(c_1087,plain,
multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),multiply(X3,X4)) = multiply(X3,X4),
inference(superposition,[status(thm)],[c_50,c_1033]) ).
cnf(c_1932,plain,
multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3) = X3,
inference(superposition,[status(thm)],[c_240,c_1087]) ).
cnf(c_2193,plain,
multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X2,X0))),X3) = X3,
inference(superposition,[status(thm)],[c_111,c_1932]) ).
cnf(c_3685,plain,
multiply(double_divide(X0,double_divide(inverse(X1),X0)),multiply(X1,X2)) = multiply(double_divide(inverse(X2),X3),X3),
inference(superposition,[status(thm)],[c_2193,c_840]) ).
cnf(c_4772,plain,
double_divide(inverse(X0),double_divide(inverse(X1),multiply(double_divide(inverse(X1),X2),X2))) = X0,
inference(superposition,[status(thm)],[c_3685,c_488]) ).
cnf(c_4781,plain,
multiply(double_divide(inverse(X0),multiply(double_divide(inverse(X0),X1),X1)),X2) = X2,
inference(superposition,[status(thm)],[c_3685,c_2193]) ).
cnf(c_6083,plain,
multiply(double_divide(multiply(X0,X1),multiply(double_divide(multiply(X0,X1),X2),X2)),X3) = X3,
inference(superposition,[status(thm)],[c_50,c_4781]) ).
cnf(c_6339,plain,
double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4772,c_1056]) ).
cnf(c_6442,plain,
double_divide(multiply(X0,X1),inverse(X2)) = multiply(double_divide(X1,X0),X2),
inference(superposition,[status(thm)],[c_50,c_6339]) ).
cnf(c_6452,plain,
double_divide(inverse(X0),multiply(X1,X2)) = multiply(X0,double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_50,c_6339]) ).
cnf(c_6547,plain,
multiply(X0,double_divide(multiply(double_divide(X1,X2),X0),double_divide(X3,double_divide(X1,X3)))) = X2,
inference(demodulation,[status(thm)],[c_60,c_6452]) ).
cnf(c_6555,plain,
multiply(multiply(X0,double_divide(X1,double_divide(inverse(X0),X1))),X2) = X2,
inference(demodulation,[status(thm)],[c_4781,c_6452]) ).
cnf(c_6557,plain,
double_divide(inverse(X0),multiply(X1,double_divide(X2,double_divide(inverse(X1),X2)))) = X0,
inference(demodulation,[status(thm)],[c_4772,c_6452]) ).
cnf(c_7188,plain,
multiply(double_divide(X0,multiply(double_divide(X0,X1),X1)),X2) = X2,
inference(superposition,[status(thm)],[c_6083,c_6083]) ).
cnf(c_8190,plain,
multiply(X0,double_divide(double_divide(X1,double_divide(inverse(X2),X1)),X2)) = X0,
inference(superposition,[status(thm)],[c_6557,c_6452]) ).
cnf(c_8286,plain,
multiply(X0,double_divide(double_divide(inverse(X1),multiply(X2,X1)),X2)) = X0,
inference(superposition,[status(thm)],[c_6339,c_8190]) ).
cnf(c_8420,plain,
multiply(X0,double_divide(multiply(X1,double_divide(X1,X2)),X2)) = X0,
inference(superposition,[status(thm)],[c_6452,c_8286]) ).
cnf(c_8987,plain,
double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_8420,c_6547]) ).
cnf(c_9091,plain,
multiply(X0,double_divide(multiply(double_divide(X1,X2),X0),X1)) = X2,
inference(superposition,[status(thm)],[c_8987,c_6547]) ).
cnf(c_9129,plain,
multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_8987,c_786]) ).
cnf(c_9137,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_8987,c_8987]) ).
cnf(c_9144,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_8987,c_6555]) ).
cnf(c_9157,plain,
multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_7188,c_9129]) ).
cnf(c_9271,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_9137,c_9137]) ).
cnf(c_9284,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_9137,c_8286]) ).
cnf(c_9404,plain,
multiply(multiply(double_divide(X0,X1),multiply(X1,X0)),X2) = X2,
inference(superposition,[status(thm)],[c_50,c_9144]) ).
cnf(c_9428,plain,
multiply(double_divide(double_divide(X0,X1),multiply(X1,X0)),X2) = X2,
inference(superposition,[status(thm)],[c_50,c_9157]) ).
cnf(c_9462,plain,
double_divide(X0,multiply(inverse(X1),X1)) = inverse(X0),
inference(superposition,[status(thm)],[c_9284,c_9129]) ).
cnf(c_9481,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_9157,c_9404]) ).
cnf(c_9591,plain,
multiply(double_divide(double_divide(X0,multiply(inverse(X1),X1)),X0),X2) = X2,
inference(superposition,[status(thm)],[c_9481,c_9428]) ).
cnf(c_9600,plain,
multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(light_normalisation,[status(thm)],[c_9591,c_9462]) ).
cnf(c_9630,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_9600,c_9129]) ).
cnf(c_9648,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_9630]) ).
cnf(c_9712,plain,
double_divide(double_divide(X0,X1),inverse(X2)) = multiply(multiply(X1,X0),X2),
inference(superposition,[status(thm)],[c_9648,c_6339]) ).
cnf(c_24067,plain,
multiply(X0,double_divide(multiply(X1,X0),X2)) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_9271,c_9091]) ).
cnf(c_45266,plain,
multiply(X0,multiply(double_divide(X0,X1),X2)) = double_divide(X1,inverse(X2)),
inference(superposition,[status(thm)],[c_6442,c_24067]) ).
cnf(c_63600,plain,
double_divide(double_divide(X0,X1),inverse(X2)) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_9271,c_45266]) ).
cnf(c_63694,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_9712,c_63600]) ).
cnf(c_63700,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_51,c_63694]) ).
cnf(c_63701,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_63700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP501-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 23:48:03 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.43 Running UEQ theorem proving
% 0.17/0.43 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
% 35.05/5.11 % SZS status Started for theBenchmark.p
% 35.05/5.11 % SZS status Unsatisfiable for theBenchmark.p
% 35.05/5.11
% 35.05/5.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 35.05/5.11
% 35.05/5.11 ------ iProver source info
% 35.05/5.11
% 35.05/5.11 git: date: 2024-05-02 19:28:25 +0000
% 35.05/5.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 35.05/5.11 git: non_committed_changes: false
% 35.05/5.11
% 35.05/5.11 ------ Parsing...successful
% 35.05/5.11
% 35.05/5.11
% 35.05/5.11
% 35.05/5.11 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 35.05/5.11
% 35.05/5.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 35.05/5.11
% 35.05/5.11 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 35.05/5.11 ------ Proving...
% 35.05/5.11 ------ Problem Properties
% 35.05/5.11
% 35.05/5.11
% 35.05/5.11 clauses 3
% 35.05/5.11 conjectures 1
% 35.05/5.11 EPR 0
% 35.05/5.11 Horn 3
% 35.05/5.11 unary 3
% 35.05/5.11 binary 0
% 35.05/5.11 lits 3
% 35.05/5.11 lits eq 3
% 35.05/5.11 fd_pure 0
% 35.05/5.11 fd_pseudo 0
% 35.05/5.11 fd_cond 0
% 35.05/5.11 fd_pseudo_cond 0
% 35.05/5.11 AC symbols 0
% 35.05/5.11
% 35.05/5.11 ------ Input Options Time Limit: Unbounded
% 35.05/5.11
% 35.05/5.11
% 35.05/5.11 ------
% 35.05/5.11 Current options:
% 35.05/5.11 ------
% 35.05/5.11
% 35.05/5.11
% 35.05/5.11
% 35.05/5.11
% 35.05/5.11 ------ Proving...
% 35.05/5.11
% 35.05/5.11
% 35.05/5.11 % SZS status Unsatisfiable for theBenchmark.p
% 35.05/5.11
% 35.05/5.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.05/5.11
% 35.05/5.12
%------------------------------------------------------------------------------