TSTP Solution File: GRP497-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP497-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 1.68s 1.01s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of clauses : 50 ( 50 unt; 0 nHn; 3 RR)
% Number of literals : 50 ( 49 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_68,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_69,plain,
double_divide(double_divide(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1)) = X2,
inference(demodulation,[status(thm)],[c_49,c_51,c_68]) ).
cnf(c_120,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_68]) ).
cnf(c_122,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_68,c_52]) ).
cnf(c_126,plain,
multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_120]) ).
cnf(c_127,plain,
multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[status(thm)],[c_120,c_120]) ).
cnf(c_154,plain,
double_divide(double_divide(identity,identity),multiply(double_divide(X0,X1),X1)) = X0,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_157,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X0))),multiply(inverse(X1),X0)) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_158,plain,
double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),multiply(identity,X1)) = X0,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_165,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_69,c_122]) ).
cnf(c_342,plain,
double_divide(identity,multiply(double_divide(X0,X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_154,c_51,c_165]) ).
cnf(c_343,plain,
double_divide(identity,multiply(inverse(X0),identity)) = X0,
inference(superposition,[status(thm)],[c_51,c_342]) ).
cnf(c_344,plain,
double_divide(identity,multiply(identity,inverse(X0))) = X0,
inference(superposition,[status(thm)],[c_52,c_342]) ).
cnf(c_355,plain,
multiply(multiply(double_divide(X0,X1),X1),identity) = inverse(X0),
inference(superposition,[status(thm)],[c_342,c_68]) ).
cnf(c_390,plain,
double_divide(identity,multiply(multiply(X0,X1),identity)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_68,c_343]) ).
cnf(c_398,plain,
multiply(multiply(inverse(X0),identity),identity) = inverse(X0),
inference(superposition,[status(thm)],[c_343,c_68]) ).
cnf(c_449,plain,
multiply(multiply(identity,inverse(X0)),identity) = inverse(X0),
inference(superposition,[status(thm)],[c_344,c_68]) ).
cnf(c_483,plain,
multiply(multiply(multiply(X0,X1),identity),identity) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_68,c_398]) ).
cnf(c_929,plain,
double_divide(X0,double_divide(X1,X0)) = double_divide(identity,inverse(X1)),
inference(superposition,[status(thm)],[c_355,c_390]) ).
cnf(c_930,plain,
double_divide(inverse(X0),identity) = double_divide(identity,inverse(X0)),
inference(superposition,[status(thm)],[c_449,c_390]) ).
cnf(c_1018,plain,
multiply(inverse(X0),identity) = multiply(identity,inverse(X0)),
inference(superposition,[status(thm)],[c_449,c_483]) ).
cnf(c_1245,plain,
double_divide(identity,inverse(X0)) = multiply(identity,X0),
inference(demodulation,[status(thm)],[c_930,c_51,c_120]) ).
cnf(c_1250,plain,
double_divide(identity,multiply(X0,X1)) = multiply(identity,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_1245]) ).
cnf(c_1252,plain,
double_divide(identity,multiply(identity,inverse(X0))) = multiply(identity,multiply(identity,X0)),
inference(superposition,[status(thm)],[c_127,c_1245]) ).
cnf(c_1267,plain,
multiply(identity,multiply(identity,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1252,c_344]) ).
cnf(c_1343,plain,
double_divide(X0,double_divide(X1,X0)) = multiply(identity,X1),
inference(demodulation,[status(thm)],[c_929,c_1245]) ).
cnf(c_1577,plain,
double_divide(identity,multiply(X0,X1)) = inverse(multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_1250,c_126]) ).
cnf(c_1584,plain,
double_divide(identity,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_1267,c_1577]) ).
cnf(c_1608,plain,
double_divide(multiply(identity,inverse(X0)),multiply(inverse(X1),X0)) = X1,
inference(demodulation,[status(thm)],[c_157,c_68,c_1018,c_1584]) ).
cnf(c_1611,plain,
double_divide(multiply(identity,multiply(identity,X0)),multiply(inverse(X1),inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_120,c_1608]) ).
cnf(c_1629,plain,
double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(light_normalisation,[status(thm)],[c_1611,c_1267]) ).
cnf(c_1675,plain,
multiply(identity,inverse(X0)) = inverse(multiply(X0,identity)),
inference(superposition,[status(thm)],[c_1584,c_126]) ).
cnf(c_1677,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1584,c_68]) ).
cnf(c_1730,plain,
multiply(X0,identity) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1677,c_120]) ).
cnf(c_1745,plain,
multiply(identity,multiply(X0,identity)) = X0,
inference(superposition,[status(thm)],[c_1730,c_1267]) ).
cnf(c_2034,plain,
double_divide(X0,multiply(identity,inverse(X0))) = identity,
inference(superposition,[status(thm)],[c_165,c_1629]) ).
cnf(c_2044,plain,
double_divide(multiply(inverse(X0),inverse(X1)),X0) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_1629,c_1343]) ).
cnf(c_2108,plain,
double_divide(inverse(X0),multiply(identity,multiply(identity,X0))) = identity,
inference(superposition,[status(thm)],[c_120,c_2034]) ).
cnf(c_2119,plain,
double_divide(inverse(X0),X0) = identity,
inference(light_normalisation,[status(thm)],[c_2108,c_1267]) ).
cnf(c_2164,plain,
multiply(identity,inverse(X0)) = double_divide(X0,identity),
inference(superposition,[status(thm)],[c_2119,c_1343]) ).
cnf(c_2172,plain,
multiply(identity,inverse(X0)) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_2164,c_51]) ).
cnf(c_2239,plain,
double_divide(multiply(inverse(X0),inverse(X1)),multiply(identity,X0)) = X1,
inference(demodulation,[status(thm)],[c_158,c_68,c_1584]) ).
cnf(c_2254,plain,
double_divide(multiply(inverse(multiply(X0,identity)),inverse(X1)),X0) = X1,
inference(superposition,[status(thm)],[c_1745,c_2239]) ).
cnf(c_2265,plain,
multiply(identity,X0) = X0,
inference(light_normalisation,[status(thm)],[c_2254,c_1675,c_2044,c_2172]) ).
cnf(c_2270,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_2265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GRP497-1 : TPTP v8.2.0. Released v2.6.0.
% 0.03/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu Jun 20 12:21:39 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.14/0.37 Running UEQ theorem proving
% 0.14/0.37 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.68/1.01 % SZS status Started for theBenchmark.p
% 1.68/1.01 % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.01
% 1.68/1.01 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.68/1.01
% 1.68/1.01 ------ iProver source info
% 1.68/1.01
% 1.68/1.01 git: date: 2024-06-12 09:56:46 +0000
% 1.68/1.01 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.68/1.01 git: non_committed_changes: false
% 1.68/1.01
% 1.68/1.01 ------ Parsing...successful
% 1.68/1.01
% 1.68/1.01
% 1.68/1.01
% 1.68/1.01 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 1.68/1.01
% 1.68/1.01 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.68/1.01
% 1.68/1.01 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.68/1.01 ------ Proving...
% 1.68/1.01 ------ Problem Properties
% 1.68/1.01
% 1.68/1.01
% 1.68/1.01 clauses 5
% 1.68/1.01 conjectures 1
% 1.68/1.01 EPR 0
% 1.68/1.01 Horn 5
% 1.68/1.01 unary 5
% 1.68/1.01 binary 0
% 1.68/1.01 lits 5
% 1.68/1.01 lits eq 5
% 1.68/1.01 fd_pure 0
% 1.68/1.01 fd_pseudo 0
% 1.68/1.01 fd_cond 0
% 1.68/1.01 fd_pseudo_cond 0
% 1.68/1.01 AC symbols 0
% 1.68/1.01
% 1.68/1.01 ------ Input Options Time Limit: Unbounded
% 1.68/1.01
% 1.68/1.01
% 1.68/1.01 ------
% 1.68/1.01 Current options:
% 1.68/1.01 ------
% 1.68/1.01
% 1.68/1.01
% 1.68/1.01
% 1.68/1.01
% 1.68/1.01 ------ Proving...
% 1.68/1.01
% 1.68/1.01
% 1.68/1.01 % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.01
% 1.68/1.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.01
% 1.68/1.01
%------------------------------------------------------------------------------