TSTP Solution File: GRP500-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP500-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 : Thu Aug 31 01:00:10 EDT 2023
% Result : Unsatisfiable 7.53s 1.65s
% Output : CNFRefutation 7.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of clauses : 42 ( 42 unt; 0 nHn; 3 RR)
% Number of literals : 42 ( 41 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 138 ( 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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
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_2191,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_3683,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_2191,c_840]) ).
cnf(c_4770,plain,
double_divide(inverse(X0),double_divide(inverse(X1),multiply(double_divide(inverse(X1),X2),X2))) = X0,
inference(superposition,[status(thm)],[c_3683,c_488]) ).
cnf(c_4779,plain,
multiply(double_divide(inverse(X0),multiply(double_divide(inverse(X0),X1),X1)),X2) = X2,
inference(superposition,[status(thm)],[c_3683,c_2191]) ).
cnf(c_6081,plain,
multiply(double_divide(multiply(X0,X1),multiply(double_divide(multiply(X0,X1),X2),X2)),X3) = X3,
inference(superposition,[status(thm)],[c_50,c_4779]) ).
cnf(c_6337,plain,
double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4770,c_1056]) ).
cnf(c_6450,plain,
double_divide(inverse(X0),multiply(X1,X2)) = multiply(X0,double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_50,c_6337]) ).
cnf(c_6545,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_6450]) ).
cnf(c_6553,plain,
multiply(multiply(X0,double_divide(X1,double_divide(inverse(X0),X1))),X2) = X2,
inference(demodulation,[status(thm)],[c_4779,c_6450]) ).
cnf(c_6555,plain,
double_divide(inverse(X0),multiply(X1,double_divide(X2,double_divide(inverse(X1),X2)))) = X0,
inference(demodulation,[status(thm)],[c_4770,c_6450]) ).
cnf(c_7188,plain,
multiply(double_divide(X0,multiply(double_divide(X0,X1),X1)),X2) = X2,
inference(superposition,[status(thm)],[c_6081,c_6081]) ).
cnf(c_8183,plain,
multiply(X0,double_divide(double_divide(X1,double_divide(inverse(X2),X1)),X2)) = X0,
inference(superposition,[status(thm)],[c_6555,c_6450]) ).
cnf(c_8271,plain,
multiply(X0,double_divide(double_divide(inverse(X1),multiply(X2,X1)),X2)) = X0,
inference(superposition,[status(thm)],[c_6337,c_8183]) ).
cnf(c_8400,plain,
multiply(X0,double_divide(multiply(X1,double_divide(X1,X2)),X2)) = X0,
inference(superposition,[status(thm)],[c_6450,c_8271]) ).
cnf(c_8972,plain,
double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_8400,c_6545]) ).
cnf(c_9110,plain,
multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_8972,c_786]) ).
cnf(c_9124,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_8972,c_6553]) ).
cnf(c_9137,plain,
multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_7188,c_9110]) ).
cnf(c_9366,plain,
multiply(multiply(double_divide(X0,X1),multiply(X1,X0)),X2) = X2,
inference(superposition,[status(thm)],[c_50,c_9124]) ).
cnf(c_9446,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_9137,c_9366]) ).
cnf(c_9482,plain,
a2 != a2,
inference(demodulation,[status(thm)],[c_51,c_9446]) ).
cnf(c_9483,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_9482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP500-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n008.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 : Mon Aug 28 20:48:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.53/1.65 % SZS status Started for theBenchmark.p
% 7.53/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.53/1.65
% 7.53/1.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.53/1.65
% 7.53/1.65 ------ iProver source info
% 7.53/1.65
% 7.53/1.65 git: date: 2023-05-31 18:12:56 +0000
% 7.53/1.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.53/1.65 git: non_committed_changes: false
% 7.53/1.65 git: last_make_outside_of_git: false
% 7.53/1.65
% 7.53/1.65 ------ Parsing...successful
% 7.53/1.65
% 7.53/1.65
% 7.53/1.65
% 7.53/1.65 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.53/1.65
% 7.53/1.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.53/1.65
% 7.53/1.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.53/1.65 ------ Proving...
% 7.53/1.65 ------ Problem Properties
% 7.53/1.65
% 7.53/1.65
% 7.53/1.65 clauses 3
% 7.53/1.65 conjectures 1
% 7.53/1.65 EPR 0
% 7.53/1.65 Horn 3
% 7.53/1.65 unary 3
% 7.53/1.65 binary 0
% 7.53/1.65 lits 3
% 7.53/1.65 lits eq 3
% 7.53/1.65 fd_pure 0
% 7.53/1.65 fd_pseudo 0
% 7.53/1.65 fd_cond 0
% 7.53/1.65 fd_pseudo_cond 0
% 7.53/1.65 AC symbols 0
% 7.53/1.65
% 7.53/1.65 ------ Input Options Time Limit: Unbounded
% 7.53/1.65
% 7.53/1.65
% 7.53/1.65 ------
% 7.53/1.65 Current options:
% 7.53/1.65 ------
% 7.53/1.65
% 7.53/1.65
% 7.53/1.65
% 7.53/1.65
% 7.53/1.65 ------ Proving...
% 7.53/1.65
% 7.53/1.65
% 7.53/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.53/1.65
% 7.53/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.53/1.65
% 7.53/1.66
%------------------------------------------------------------------------------