TSTP Solution File: GRP601-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP601-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 07:00:54 EDT 2024
% Result : Unsatisfiable 3.53s 1.15s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 4 RR)
% Number of literals : 61 ( 60 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 : 151 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
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,
multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_97,plain,
multiply(multiply(double_divide(X0,double_divide(X1,X2)),X3),X0) = multiply(X2,multiply(X3,X1)),
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_101,plain,
multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(superposition,[status(thm)],[c_97,c_60]) ).
cnf(c_106,plain,
multiply(double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X3),multiply(X3,X2)) = X1,
inference(superposition,[status(thm)],[c_60,c_101]) ).
cnf(c_110,plain,
multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
inference(superposition,[status(thm)],[c_101,c_101]) ).
cnf(c_111,plain,
multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(superposition,[status(thm)],[c_101,c_101]) ).
cnf(c_123,plain,
double_divide(multiply(X0,X1),double_divide(X1,X2)) = multiply(double_divide(X0,X3),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_111,c_101]) ).
cnf(c_211,plain,
double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X1)) = X2,
inference(superposition,[status(thm)],[c_110,c_106]) ).
cnf(c_325,plain,
double_divide(multiply(X0,X1),double_divide(X1,multiply(X2,X0))) = X2,
inference(superposition,[status(thm)],[c_110,c_211]) ).
cnf(c_338,plain,
multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1) = inverse(X2),
inference(superposition,[status(thm)],[c_211,c_50]) ).
cnf(c_457,plain,
multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_325,c_50]) ).
cnf(c_702,plain,
multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(superposition,[status(thm)],[c_457,c_101]) ).
cnf(c_948,plain,
double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_702,c_211]) ).
cnf(c_1066,plain,
double_divide(X0,multiply(double_divide(X0,X1),inverse(X2))) = multiply(X2,X1),
inference(superposition,[status(thm)],[c_948,c_211]) ).
cnf(c_1193,plain,
multiply(X0,double_divide(X1,multiply(X0,X2))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_702,c_1066]) ).
cnf(c_1269,plain,
multiply(double_divide(multiply(X0,X1),X2),X2) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_211,c_1193]) ).
cnf(c_1397,plain,
double_divide(multiply(X0,X1),double_divide(X1,multiply(X2,X0))) = multiply(double_divide(inverse(X2),X3),X3),
inference(superposition,[status(thm)],[c_457,c_1269]) ).
cnf(c_1421,plain,
multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_1269,c_338]) ).
cnf(c_1422,plain,
double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_1269,c_211]) ).
cnf(c_1423,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1269,c_457]) ).
cnf(c_1425,plain,
multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_1397,c_325]) ).
cnf(c_1427,plain,
multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(demodulation,[status(thm)],[c_702,c_1422]) ).
cnf(c_1569,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_1422,c_97]) ).
cnf(c_1806,plain,
double_divide(X0,double_divide(X0,X1)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_1421,c_1423]) ).
cnf(c_1807,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1806,c_1422]) ).
cnf(c_1833,plain,
multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(inverse(X2),X0),
inference(superposition,[status(thm)],[c_1425,c_101]) ).
cnf(c_1839,plain,
double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_101,c_1833]) ).
cnf(c_1840,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(light_normalisation,[status(thm)],[c_1839,c_1423]) ).
cnf(c_1865,plain,
double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1422,c_1840]) ).
cnf(c_1868,plain,
multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_1840,c_1421]) ).
cnf(c_1870,plain,
multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_1840,c_50]) ).
cnf(c_1913,plain,
inverse(double_divide(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1865,c_50]) ).
cnf(c_1924,plain,
multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(demodulation,[status(thm)],[c_1427,c_1569]) ).
cnf(c_1925,plain,
double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_1421,c_1924]) ).
cnf(c_1928,plain,
multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1807,c_1924]) ).
cnf(c_2019,plain,
inverse(multiply(X0,X1)) = double_divide(X0,X1),
inference(superposition,[status(thm)],[c_1870,c_1193]) ).
cnf(c_2045,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_1913,c_50]) ).
cnf(c_2049,plain,
multiply(inverse(b1),b1) != multiply(a1,inverse(a1)),
inference(demodulation,[status(thm)],[c_51,c_2045]) ).
cnf(c_2070,plain,
double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)),
inference(demodulation,[status(thm)],[c_2049,c_1865,c_1925,c_2045]) ).
cnf(c_2075,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_2045,c_1928]) ).
cnf(c_2122,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1807,c_2075]) ).
cnf(c_2135,plain,
multiply(inverse(X0),double_divide(X1,X2)) = double_divide(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_2075,c_1193]) ).
cnf(c_2179,plain,
double_divide(X0,inverse(X1)) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_1868,c_2122]) ).
cnf(c_2264,plain,
double_divide(double_divide(X0,X1),inverse(X2)) = multiply(X2,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_50,c_2179]) ).
cnf(c_2394,plain,
inverse(multiply(X0,multiply(X1,X2))) = multiply(inverse(X0),double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_2264,c_50]) ).
cnf(c_2429,plain,
double_divide(X0,multiply(X1,X2)) = double_divide(X1,multiply(X2,X0)),
inference(demodulation,[status(thm)],[c_2394,c_2019,c_2135]) ).
cnf(c_2458,plain,
inverse(double_divide(X0,multiply(X1,X2))) = multiply(X2,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_2429,c_1913]) ).
cnf(c_2463,plain,
inverse(double_divide(X0,multiply(X1,X2))) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_2429,c_50]) ).
cnf(c_2615,plain,
multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_2045,c_1569]) ).
cnf(c_2628,plain,
inverse(multiply(X0,multiply(X1,X2))) = double_divide(X2,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_1569,c_1423]) ).
cnf(c_2692,plain,
inverse(double_divide(X0,multiply(X1,X2))) = multiply(X1,multiply(X0,X2)),
inference(light_normalisation,[status(thm)],[c_2463,c_2458,c_2615]) ).
cnf(c_2693,plain,
multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(demodulation,[status(thm)],[c_2692,c_1913]) ).
cnf(c_2744,plain,
inverse(multiply(X0,multiply(X1,X2))) = double_divide(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[c_2693,c_1423]) ).
cnf(c_2754,plain,
double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X0,X2)),
inference(light_normalisation,[status(thm)],[c_2744,c_2628]) ).
cnf(c_2793,plain,
double_divide(X0,multiply(X1,double_divide(X0,X2))) = double_divide(inverse(X2),X1),
inference(demodulation,[status(thm)],[c_123,c_1833,c_2754]) ).
cnf(c_2800,plain,
double_divide(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_1868,c_2793]) ).
cnf(c_3115,plain,
double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(demodulation,[status(thm)],[c_2800,c_1865]) ).
cnf(c_3116,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2070,c_3115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP601-1 : TPTP v8.2.0. Released v2.6.0.
% 0.04/0.12 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.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 Jun 20 10:07:39 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_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.53/1.15 % SZS status Started for theBenchmark.p
% 3.53/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.15
% 3.53/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.53/1.15
% 3.53/1.15 ------ iProver source info
% 3.53/1.15
% 3.53/1.15 git: date: 2024-06-12 09:56:46 +0000
% 3.53/1.15 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.53/1.15 git: non_committed_changes: false
% 3.53/1.15
% 3.53/1.15 ------ Parsing...successful
% 3.53/1.15
% 3.53/1.15
% 3.53/1.15
% 3.53/1.15 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.53/1.15
% 3.53/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.53/1.15
% 3.53/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.53/1.15 ------ Proving...
% 3.53/1.15 ------ Problem Properties
% 3.53/1.15
% 3.53/1.15
% 3.53/1.15 clauses 3
% 3.53/1.15 conjectures 1
% 3.53/1.15 EPR 0
% 3.53/1.15 Horn 3
% 3.53/1.15 unary 3
% 3.53/1.15 binary 0
% 3.53/1.15 lits 3
% 3.53/1.15 lits eq 3
% 3.53/1.15 fd_pure 0
% 3.53/1.15 fd_pseudo 0
% 3.53/1.15 fd_cond 0
% 3.53/1.15 fd_pseudo_cond 0
% 3.53/1.15 AC symbols 0
% 3.53/1.15
% 3.53/1.15 ------ Input Options Time Limit: Unbounded
% 3.53/1.15
% 3.53/1.15
% 3.53/1.15 ------
% 3.53/1.15 Current options:
% 3.53/1.15 ------
% 3.53/1.15
% 3.53/1.15
% 3.53/1.15
% 3.53/1.15
% 3.53/1.15 ------ Proving...
% 3.53/1.15
% 3.53/1.15
% 3.53/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.15
% 3.53/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.53/1.15
% 3.53/1.15
%------------------------------------------------------------------------------