TSTP Solution File: GRP499-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP499-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 07:00:28 EDT 2024
% Result : Unsatisfiable 7.86s 1.64s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 4 RR)
% Number of literals : 53 ( 52 equ; 3 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 : 173 ( 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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
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_106,plain,
double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),double_divide(X1,X0)))) = X4,
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_109,plain,
multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),inverse(X3)) = inverse(X2),
inference(superposition,[status(thm)],[c_60,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_125,plain,
double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X4,double_divide(X1,X0)))) = multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,X4),X3)),
inference(superposition,[status(thm)],[c_60,c_106]) ).
cnf(c_316,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_327,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_575,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_316,c_60]) ).
cnf(c_711,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_327]) ).
cnf(c_1041,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_316,c_711]) ).
cnf(c_1074,plain,
double_divide(X0,double_divide(multiply(X1,X2),multiply(double_divide(X3,double_divide(X0,X3)),multiply(X4,double_divide(X2,X1))))) = X4,
inference(superposition,[status(thm)],[c_50,c_1041]) ).
cnf(c_1097,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_1041,c_50]) ).
cnf(c_1224,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_316,c_1097]) ).
cnf(c_1242,plain,
inverse(double_divide(X0,double_divide(X1,X0))) = multiply(double_divide(X1,X2),X2),
inference(light_normalisation,[status(thm)],[c_1224,c_575]) ).
cnf(c_1325,plain,
multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
inference(demodulation,[status(thm)],[c_1242,c_50]) ).
cnf(c_1360,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_1325,c_60]) ).
cnf(c_1369,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_1325,c_109]) ).
cnf(c_1451,plain,
double_divide(inverse(X0),double_divide(inverse(X1),multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X3,X1)))) = X0,
inference(superposition,[status(thm)],[c_111,c_1360]) ).
cnf(c_1641,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_1369]) ).
cnf(c_2551,plain,
multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3) = X3,
inference(superposition,[status(thm)],[c_316,c_1641]) ).
cnf(c_3228,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_575,c_1360]) ).
cnf(c_3525,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_2551]) ).
cnf(c_4509,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_3525,c_1325]) ).
cnf(c_5158,plain,
double_divide(inverse(X0),double_divide(inverse(X1),multiply(double_divide(inverse(X1),X2),X2))) = X0,
inference(superposition,[status(thm)],[c_4509,c_1451]) ).
cnf(c_5944,plain,
double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5158,c_3228]) ).
cnf(c_6184,plain,
double_divide(multiply(X0,X1),inverse(X2)) = multiply(double_divide(X1,X0),X2),
inference(superposition,[status(thm)],[c_50,c_5944]) ).
cnf(c_6186,plain,
double_divide(inverse(X0),multiply(X1,X2)) = multiply(X0,double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_50,c_5944]) ).
cnf(c_6243,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_6186]) ).
cnf(c_6252,plain,
double_divide(inverse(X0),multiply(X1,double_divide(X2,double_divide(inverse(X1),X2)))) = X0,
inference(demodulation,[status(thm)],[c_5158,c_6186]) ).
cnf(c_7692,plain,
multiply(X0,double_divide(double_divide(X1,double_divide(inverse(X2),X1)),X2)) = X0,
inference(demodulation,[status(thm)],[c_6252,c_6186]) ).
cnf(c_7705,plain,
multiply(X0,double_divide(double_divide(inverse(X1),multiply(X2,X1)),X2)) = X0,
inference(superposition,[status(thm)],[c_5944,c_7692]) ).
cnf(c_7865,plain,
multiply(X0,double_divide(multiply(X1,double_divide(X1,X2)),X2)) = X0,
inference(demodulation,[status(thm)],[c_7705,c_6186]) ).
cnf(c_7876,plain,
multiply(X0,multiply(double_divide(double_divide(X1,inverse(X2)),X1),X2)) = X0,
inference(superposition,[status(thm)],[c_6184,c_7865]) ).
cnf(c_8130,plain,
multiply(double_divide(X0,double_divide(double_divide(X1,inverse(X1)),X0)),X2) = X2,
inference(superposition,[status(thm)],[c_7876,c_2551]) ).
cnf(c_9259,plain,
double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_6243,c_7865]) ).
cnf(c_10104,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_9259,c_9259]) ).
cnf(c_10112,plain,
multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_9259,c_8130]) ).
cnf(c_10113,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_7876,c_10104]) ).
cnf(c_10246,plain,
double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(X4,double_divide(X1,X0)))) = double_divide(X4,X3),
inference(superposition,[status(thm)],[c_1074,c_10104]) ).
cnf(c_10265,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_10104,c_10104]) ).
cnf(c_10270,plain,
multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_10104,c_50]) ).
cnf(c_10588,plain,
double_divide(double_divide(X0,inverse(X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_10270,c_10112]) ).
cnf(c_11785,plain,
multiply(X0,multiply(double_divide(X0,X1),X2)) = double_divide(X1,inverse(X2)),
inference(demodulation,[status(thm)],[c_125,c_10246,c_10265]) ).
cnf(c_11809,plain,
multiply(double_divide(double_divide(X0,inverse(X0)),X1),X2) = double_divide(X1,inverse(X2)),
inference(superposition,[status(thm)],[c_11785,c_10112]) ).
cnf(c_11810,plain,
double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(light_normalisation,[status(thm)],[c_11809,c_10588]) ).
cnf(c_11813,plain,
multiply(X0,double_divide(X1,inverse(X1))) = X0,
inference(demodulation,[status(thm)],[c_10113,c_11810]) ).
cnf(c_11815,plain,
double_divide(a1,inverse(a1)) != multiply(inverse(b1),b1),
inference(demodulation,[status(thm)],[c_51,c_11810]) ).
cnf(c_12015,plain,
double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_11813,c_10112]) ).
cnf(c_12153,plain,
double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)),
inference(demodulation,[status(thm)],[c_11815,c_11810]) ).
cnf(c_12962,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_12153,c_12015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP499-1 : TPTP v8.2.0. Released v2.6.0.
% 0.12/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 20 07:08:24 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.46 Running UEQ theorem proving
% 0.20/0.47 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
% 7.86/1.64 % SZS status Started for theBenchmark.p
% 7.86/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.64
% 7.86/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.86/1.64
% 7.86/1.64 ------ iProver source info
% 7.86/1.64
% 7.86/1.64 git: date: 2024-06-12 09:56:46 +0000
% 7.86/1.64 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.86/1.64 git: non_committed_changes: false
% 7.86/1.64
% 7.86/1.64 ------ Parsing...successful
% 7.86/1.64
% 7.86/1.64
% 7.86/1.64
% 7.86/1.64 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.86/1.64
% 7.86/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.86/1.64
% 7.86/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.86/1.64 ------ Proving...
% 7.86/1.64 ------ Problem Properties
% 7.86/1.64
% 7.86/1.64
% 7.86/1.64 clauses 3
% 7.86/1.64 conjectures 1
% 7.86/1.64 EPR 0
% 7.86/1.64 Horn 3
% 7.86/1.64 unary 3
% 7.86/1.64 binary 0
% 7.86/1.64 lits 3
% 7.86/1.64 lits eq 3
% 7.86/1.64 fd_pure 0
% 7.86/1.64 fd_pseudo 0
% 7.86/1.64 fd_cond 0
% 7.86/1.64 fd_pseudo_cond 0
% 7.86/1.64 AC symbols 0
% 7.86/1.64
% 7.86/1.64 ------ Input Options Time Limit: Unbounded
% 7.86/1.64
% 7.86/1.64
% 7.86/1.64 ------
% 7.86/1.64 Current options:
% 7.86/1.64 ------
% 7.86/1.64
% 7.86/1.64
% 7.86/1.64
% 7.86/1.64
% 7.86/1.64 ------ Proving...
% 7.86/1.64
% 7.86/1.64
% 7.86/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.64
% 7.86/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.86/1.64
% 7.86/1.64
%------------------------------------------------------------------------------