TSTP Solution File: GRP502-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP502-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 32.08s 4.67s
% Output : CNFRefutation 32.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 3
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 2 RR)
% Number of literals : 55 ( 54 equ; 1 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 : 207 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c_60,plain,
double_divide(double_divide(X0,multiply(X1,X2)),double_divide(inverse(X2),multiply(double_divide(X0,X3),X3))) = X1,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_106,plain,
double_divide(double_divide(X0,multiply(X1,double_divide(X2,X3))),double_divide(multiply(X3,X2),multiply(double_divide(X0,X4),X4))) = X1,
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_109,plain,
multiply(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)),double_divide(X1,multiply(X3,X0))) = inverse(X3),
inference(superposition,[status(thm)],[c_60,c_50]) ).
cnf(c_122,plain,
double_divide(double_divide(X0,inverse(X1)),double_divide(multiply(multiply(X1,X2),X3),multiply(double_divide(X0,X4),X4))) = double_divide(inverse(X2),multiply(double_divide(X3,X5),X5)),
inference(superposition,[status(thm)],[c_109,c_106]) ).
cnf(c_226,plain,
double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)) = double_divide(inverse(X0),multiply(double_divide(X1,X3),X3)),
inference(superposition,[status(thm)],[c_122,c_122]) ).
cnf(c_234,plain,
double_divide(double_divide(X0,multiply(X1,X2)),double_divide(double_divide(X3,inverse(X4)),double_divide(multiply(multiply(X4,X2),X0),multiply(double_divide(X3,X5),X5)))) = X1,
inference(superposition,[status(thm)],[c_122,c_60]) ).
cnf(c_337,plain,
inverse(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2))) = multiply(multiply(double_divide(X1,X3),X3),inverse(X0)),
inference(superposition,[status(thm)],[c_226,c_50]) ).
cnf(c_419,plain,
multiply(multiply(double_divide(X0,X1),X1),inverse(X2)) = multiply(multiply(double_divide(X0,X3),X3),inverse(X2)),
inference(superposition,[status(thm)],[c_337,c_337]) ).
cnf(c_737,plain,
double_divide(double_divide(X0,multiply(X1,X2)),double_divide(double_divide(X3,multiply(X4,X5)),double_divide(multiply(multiply(double_divide(X5,X4),X2),X0),multiply(double_divide(X3,X6),X6)))) = X1,
inference(superposition,[status(thm)],[c_50,c_234]) ).
cnf(c_878,plain,
double_divide(double_divide(X0,multiply(multiply(double_divide(X1,X2),X2),inverse(X3))),double_divide(inverse(inverse(X3)),multiply(double_divide(X0,X4),X4))) = multiply(double_divide(X1,X5),X5),
inference(superposition,[status(thm)],[c_419,c_60]) ).
cnf(c_4630,plain,
multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
inference(superposition,[status(thm)],[c_878,c_878]) ).
cnf(c_5072,plain,
double_divide(double_divide(X0,multiply(double_divide(X1,X2),X2)),double_divide(inverse(X3),multiply(double_divide(X0,X4),X4))) = double_divide(X1,X3),
inference(superposition,[status(thm)],[c_4630,c_60]) ).
cnf(c_5077,plain,
double_divide(double_divide(X0,multiply(double_divide(X1,X2),X2)),double_divide(multiply(X3,X4),multiply(double_divide(X0,X5),X5))) = double_divide(X1,double_divide(X4,X3)),
inference(superposition,[status(thm)],[c_4630,c_106]) ).
cnf(c_14963,plain,
double_divide(double_divide(X0,multiply(X1,X2)),double_divide(X3,double_divide(X0,multiply(double_divide(X4,double_divide(X3,X4)),X2)))) = X1,
inference(superposition,[status(thm)],[c_5077,c_737]) ).
cnf(c_15169,plain,
double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),X3) = X1,
inference(superposition,[status(thm)],[c_60,c_14963]) ).
cnf(c_15244,plain,
multiply(double_divide(X0,double_divide(X1,multiply(double_divide(X2,double_divide(X0,X2)),X3))),double_divide(X1,multiply(X4,X3))) = inverse(X4),
inference(superposition,[status(thm)],[c_14963,c_50]) ).
cnf(c_15592,plain,
double_divide(double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),multiply(X4,X5)),double_divide(inverse(X5),multiply(X1,X3))) = X4,
inference(superposition,[status(thm)],[c_15169,c_60]) ).
cnf(c_16538,plain,
inverse(double_divide(X0,double_divide(X1,X0))) = multiply(double_divide(X1,X2),X2),
inference(superposition,[status(thm)],[c_15244,c_4630]) ).
cnf(c_17207,plain,
double_divide(X0,double_divide(inverse(X1),multiply(X0,multiply(X2,X1)))) = X2,
inference(superposition,[status(thm)],[c_15169,c_15592]) ).
cnf(c_18248,plain,
double_divide(X0,double_divide(multiply(X1,X2),multiply(X0,multiply(X3,double_divide(X2,X1))))) = X3,
inference(superposition,[status(thm)],[c_50,c_17207]) ).
cnf(c_18354,plain,
multiply(double_divide(inverse(X0),multiply(X1,multiply(X2,X0))),X1) = inverse(X2),
inference(superposition,[status(thm)],[c_17207,c_50]) ).
cnf(c_19076,plain,
double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),multiply(double_divide(X0,X3),X3))) = double_divide(inverse(X4),multiply(X2,multiply(X1,X4))),
inference(superposition,[status(thm)],[c_18354,c_60]) ).
cnf(c_25193,plain,
double_divide(double_divide(X0,multiply(double_divide(X1,X2),X2)),double_divide(inverse(X3),multiply(double_divide(X0,X4),X4))) = double_divide(inverse(X5),multiply(X3,multiply(double_divide(X6,double_divide(X1,X6)),X5))),
inference(superposition,[status(thm)],[c_16538,c_19076]) ).
cnf(c_25670,plain,
double_divide(inverse(X0),multiply(X1,multiply(double_divide(X2,double_divide(X3,X2)),X0))) = double_divide(X3,X1),
inference(light_normalisation,[status(thm)],[c_25193,c_5072]) ).
cnf(c_26302,plain,
double_divide(double_divide(inverse(X0),multiply(X1,multiply(double_divide(X2,double_divide(X3,X2)),X0))),double_divide(X4,double_divide(X3,double_divide(X5,double_divide(X4,X5))))) = X1,
inference(superposition,[status(thm)],[c_25670,c_14963]) ).
cnf(c_26314,plain,
double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(superposition,[status(thm)],[c_25670,c_17207]) ).
cnf(c_26323,plain,
double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,double_divide(X3,double_divide(X2,X3))))) = X1,
inference(light_normalisation,[status(thm)],[c_26302,c_25670]) ).
cnf(c_26792,plain,
double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = double_divide(X3,double_divide(X1,X3)),
inference(superposition,[status(thm)],[c_26314,c_26314]) ).
cnf(c_28594,plain,
double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X0,double_divide(X3,double_divide(X1,X3)))) = X2,
inference(superposition,[status(thm)],[c_26314,c_26323]) ).
cnf(c_31291,plain,
double_divide(double_divide(double_divide(double_divide(X0,X1),X0),X2),double_divide(X3,double_divide(X1,X3))) = X2,
inference(superposition,[status(thm)],[c_26792,c_26323]) ).
cnf(c_32042,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X0),X2),X3),double_divide(X1,X2)) = X3,
inference(superposition,[status(thm)],[c_28594,c_26323]) ).
cnf(c_32726,plain,
double_divide(double_divide(X0,X1),double_divide(X2,double_divide(inverse(X3),multiply(double_divide(double_divide(multiply(X0,X3),X2),X4),X4)))) = X1,
inference(superposition,[status(thm)],[c_60,c_32042]) ).
cnf(c_32977,plain,
double_divide(double_divide(double_divide(X0,X1),X0),double_divide(X2,double_divide(X3,X2))) = double_divide(X1,X3),
inference(superposition,[status(thm)],[c_32042,c_31291]) ).
cnf(c_38455,plain,
double_divide(double_divide(X0,X1),X0) = double_divide(double_divide(X2,X1),X2),
inference(superposition,[status(thm)],[c_32977,c_32042]) ).
cnf(c_40187,plain,
inverse(double_divide(double_divide(X0,X1),X0)) = multiply(X2,double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_38455,c_50]) ).
cnf(c_40892,plain,
multiply(X0,double_divide(X0,X1)) = multiply(X2,double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_40187,c_40187]) ).
cnf(c_50971,plain,
multiply(X0,double_divide(X1,double_divide(multiply(inverse(X2),X2),X1))) = X0,
inference(superposition,[status(thm)],[c_32726,c_14963]) ).
cnf(c_53399,plain,
multiply(X0,double_divide(X0,double_divide(multiply(inverse(X1),X1),X2))) = X2,
inference(superposition,[status(thm)],[c_50971,c_40892]) ).
cnf(c_53756,plain,
multiply(X0,multiply(X1,double_divide(X2,inverse(X2)))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_18248,c_53399]) ).
cnf(c_54064,plain,
multiply(X0,multiply(X1,double_divide(X1,inverse(X2)))) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_40892,c_53756]) ).
cnf(c_54313,plain,
double_divide(X0,double_divide(multiply(inverse(X1),X1),multiply(X0,X2))) = X2,
inference(superposition,[status(thm)],[c_53756,c_18248]) ).
cnf(c_55063,plain,
double_divide(X0,double_divide(multiply(inverse(X1),X1),multiply(X0,X2))) = multiply(X3,double_divide(X3,inverse(X2))),
inference(superposition,[status(thm)],[c_54064,c_54313]) ).
cnf(c_55247,plain,
multiply(X0,double_divide(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_54313,c_18248]) ).
cnf(c_55272,plain,
multiply(X0,double_divide(X0,inverse(X1))) = X1,
inference(light_normalisation,[status(thm)],[c_55063,c_54313]) ).
cnf(c_58900,plain,
double_divide(X0,double_divide(multiply(inverse(X1),X1),X2)) = double_divide(X0,inverse(X2)),
inference(superposition,[status(thm)],[c_55272,c_54313]) ).
cnf(c_58981,plain,
double_divide(X0,inverse(multiply(X0,X1))) = X1,
inference(demodulation,[status(thm)],[c_54313,c_58900]) ).
cnf(c_59119,plain,
double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_55247,c_58981]) ).
cnf(c_60115,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = double_divide(X2,inverse(X2)),
inference(superposition,[status(thm)],[c_50,c_59119]) ).
cnf(c_60163,plain,
multiply(multiply(X0,X1),double_divide(X1,X0)) = inverse(double_divide(X2,inverse(X2))),
inference(superposition,[status(thm)],[c_60115,c_50]) ).
cnf(c_60229,plain,
multiply(multiply(X0,X1),double_divide(X1,X0)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_60163,c_50]) ).
cnf(c_60289,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_60229,c_55247]) ).
cnf(c_60987,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_60289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP502-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 23:37:31 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running UEQ theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.08/4.67 % SZS status Started for theBenchmark.p
% 32.08/4.67 % SZS status Unsatisfiable for theBenchmark.p
% 32.08/4.67
% 32.08/4.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 32.08/4.67
% 32.08/4.67 ------ iProver source info
% 32.08/4.67
% 32.08/4.67 git: date: 2024-05-02 19:28:25 +0000
% 32.08/4.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 32.08/4.67 git: non_committed_changes: false
% 32.08/4.67
% 32.08/4.67 ------ Parsing...successful
% 32.08/4.67
% 32.08/4.67
% 32.08/4.67
% 32.08/4.67 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 32.08/4.67
% 32.08/4.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.08/4.67
% 32.08/4.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 32.08/4.67 ------ Proving...
% 32.08/4.67 ------ Problem Properties
% 32.08/4.67
% 32.08/4.67
% 32.08/4.67 clauses 3
% 32.08/4.67 conjectures 1
% 32.08/4.67 EPR 0
% 32.08/4.67 Horn 3
% 32.08/4.67 unary 3
% 32.08/4.67 binary 0
% 32.08/4.67 lits 3
% 32.08/4.67 lits eq 3
% 32.08/4.67 fd_pure 0
% 32.08/4.67 fd_pseudo 0
% 32.08/4.67 fd_cond 0
% 32.08/4.67 fd_pseudo_cond 0
% 32.08/4.67 AC symbols 0
% 32.08/4.67
% 32.08/4.67 ------ Input Options Time Limit: Unbounded
% 32.08/4.67
% 32.08/4.67
% 32.08/4.67 ------
% 32.08/4.67 Current options:
% 32.08/4.67 ------
% 32.08/4.67
% 32.08/4.67
% 32.08/4.67
% 32.08/4.67
% 32.08/4.67 ------ Proving...
% 32.08/4.67
% 32.08/4.67
% 32.08/4.67 % SZS status Unsatisfiable for theBenchmark.p
% 32.08/4.67
% 32.08/4.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.08/4.67
% 32.08/4.68
%------------------------------------------------------------------------------