TSTP Solution File: GRP486-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP486-1 : TPTP v8.2.0. 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 : Mon Jun 24 07:00:26 EDT 2024

% Result   : Unsatisfiable 3.99s 1.22s
% Output   : CNFRefutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   71 (  71 unt;   0 nHn;   7 RR)
%            Number of literals    :   71 (  70 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  123 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,plain,
    double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,plain,
    double_divide(X0,identity) = inverse(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

cnf(c_52,plain,
    double_divide(X0,inverse(X0)) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

cnf(c_53,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

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(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
    inference(demodulation,[status(thm)],[c_49,c_51]) ).

cnf(c_120,plain,
    multiply(identity,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_51,c_68]) ).

cnf(c_121,plain,
    multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[status(thm)],[c_52,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_165,plain,
    double_divide(double_divide(X0,double_divide(inverse(double_divide(X0,X1)),inverse(X1))),inverse(identity)) = identity,
    inference(superposition,[status(thm)],[c_51,c_69]) ).

cnf(c_168,plain,
    double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_122,c_69]) ).

cnf(c_169,plain,
    double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c_51,c_69]) ).

cnf(c_170,plain,
    double_divide(double_divide(X0,double_divide(double_divide(identity,X1),inverse(inverse(X0)))),inverse(identity)) = X1,
    inference(superposition,[status(thm)],[c_52,c_69]) ).

cnf(c_175,plain,
    double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1))),inverse(identity)) = X2,
    inference(superposition,[status(thm)],[c_120,c_69]) ).

cnf(c_181,plain,
    double_divide(double_divide(double_divide(double_divide(X0,identity),X1),X2),inverse(X1)) = double_divide(double_divide(X0,X2),inverse(identity)),
    inference(superposition,[status(thm)],[c_69,c_69]) ).

cnf(c_182,plain,
    double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),inverse(identity)) = X1,
    inference(light_normalisation,[status(thm)],[c_170,c_120]) ).

cnf(c_184,plain,
    double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),inverse(identity)) = identity,
    inference(light_normalisation,[status(thm)],[c_165,c_68]) ).

cnf(c_186,plain,
    double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)) = double_divide(double_divide(X0,X2),inverse(identity)),
    inference(light_normalisation,[status(thm)],[c_181,c_51]) ).

cnf(c_236,plain,
    double_divide(double_divide(X0,identity),inverse(identity)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_52,c_168]) ).

cnf(c_246,plain,
    double_divide(inverse(X0),inverse(identity)) = multiply(identity,X0),
    inference(light_normalisation,[status(thm)],[c_236,c_51]) ).

cnf(c_322,plain,
    double_divide(multiply(identity,inverse(X0)),inverse(identity)) = multiply(identity,multiply(identity,X0)),
    inference(superposition,[status(thm)],[c_127,c_246]) ).

cnf(c_326,plain,
    multiply(inverse(identity),inverse(X0)) = inverse(multiply(identity,X0)),
    inference(superposition,[status(thm)],[c_246,c_68]) ).

cnf(c_328,plain,
    multiply(inverse(identity),inverse(X0)) = multiply(identity,inverse(X0)),
    inference(light_normalisation,[status(thm)],[c_326,c_127]) ).

cnf(c_365,plain,
    multiply(inverse(identity),multiply(X0,X1)) = multiply(identity,multiply(X0,X1)),
    inference(superposition,[status(thm)],[c_68,c_328]) ).

cnf(c_666,plain,
    double_divide(multiply(X0,inverse(X1)),inverse(X0)) = double_divide(double_divide(X1,identity),inverse(identity)),
    inference(superposition,[status(thm)],[c_184,c_169]) ).

cnf(c_774,plain,
    multiply(identity,multiply(identity,X0)) = multiply(identity,X0),
    inference(demodulation,[status(thm)],[c_322,c_51,c_246,c_666]) ).

cnf(c_779,plain,
    multiply(identity,inverse(multiply(X0,X1))) = inverse(multiply(X0,X1)),
    inference(superposition,[status(thm)],[c_126,c_774]) ).

cnf(c_1217,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = identity,
    inference(superposition,[status(thm)],[c_122,c_182]) ).

cnf(c_1296,plain,
    multiply(identity,identity) = identity,
    inference(demodulation,[status(thm)],[c_1217,c_51,c_246]) ).

cnf(c_1299,plain,
    multiply(inverse(identity),identity) = identity,
    inference(superposition,[status(thm)],[c_1296,c_365]) ).

cnf(c_1349,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm)],[c_1299,c_121]) ).

cnf(c_1400,plain,
    double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1))),identity) = X2,
    inference(light_normalisation,[status(thm)],[c_175,c_1349]) ).

cnf(c_1401,plain,
    multiply(double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1)),X0) = X2,
    inference(demodulation,[status(thm)],[c_1400,c_51,c_68]) ).

cnf(c_1405,plain,
    multiply(double_divide(double_divide(identity,X0),multiply(identity,X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_52,c_1401]) ).

cnf(c_1410,plain,
    multiply(double_divide(double_divide(double_divide(X0,inverse(identity)),X1),identity),X0) = X1,
    inference(superposition,[status(thm)],[c_1296,c_1401]) ).

cnf(c_1414,plain,
    multiply(identity,inverse(X0)) = inverse(X0),
    inference(superposition,[status(thm)],[c_1401,c_779]) ).

cnf(c_1416,plain,
    multiply(double_divide(double_divide(inverse(X0),X1),identity),X0) = X1,
    inference(light_normalisation,[status(thm)],[c_1410,c_51,c_1349]) ).

cnf(c_1438,plain,
    multiply(double_divide(double_divide(identity,X0),identity),identity) = X0,
    inference(superposition,[status(thm)],[c_1296,c_1405]) ).

cnf(c_1536,plain,
    multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_68,c_1414]) ).

cnf(c_1892,plain,
    multiply(multiply(X0,identity),identity) = X0,
    inference(demodulation,[status(thm)],[c_1438,c_51,c_68]) ).

cnf(c_1937,plain,
    multiply(identity,X0) = X0,
    inference(superposition,[status(thm)],[c_1892,c_1536]) ).

cnf(c_1953,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_120,c_1937]) ).

cnf(c_1954,plain,
    multiply(double_divide(double_divide(identity,X0),X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_1405,c_1937]) ).

cnf(c_1956,plain,
    inverse(multiply(X0,X1)) = double_divide(X1,X0),
    inference(demodulation,[status(thm)],[c_126,c_1937]) ).

cnf(c_2032,plain,
    double_divide(identity,multiply(X0,identity)) = inverse(X0),
    inference(superposition,[status(thm)],[c_1892,c_1956]) ).

cnf(c_2073,plain,
    multiply(identity,inverse(double_divide(identity,X0))) = X0,
    inference(superposition,[status(thm)],[c_52,c_1954]) ).

cnf(c_2202,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_2073,c_68,c_1937]) ).

cnf(c_2203,plain,
    double_divide(identity,X0) = inverse(X0),
    inference(demodulation,[status(thm)],[c_2032,c_2202]) ).

cnf(c_2205,plain,
    multiply(double_divide(inverse(X0),X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_1954,c_2203]) ).

cnf(c_2313,plain,
    multiply(double_divide(X0,X1),X1) = inverse(X0),
    inference(superposition,[status(thm)],[c_1953,c_2205]) ).

cnf(c_2362,plain,
    double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
    inference(superposition,[status(thm)],[c_2313,c_1956]) ).

cnf(c_2389,plain,
    double_divide(X0,double_divide(X1,X0)) = X1,
    inference(demodulation,[status(thm)],[c_2362,c_1953]) ).

cnf(c_2403,plain,
    double_divide(double_divide(X0,X1),X0) = X1,
    inference(superposition,[status(thm)],[c_2389,c_2389]) ).

cnf(c_2759,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(demodulation,[status(thm)],[c_1416,c_51,c_68]) ).

cnf(c_2764,plain,
    double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
    inference(superposition,[status(thm)],[c_2313,c_2759]) ).

cnf(c_2774,plain,
    double_divide(X0,multiply(X1,inverse(X0))) = inverse(X1),
    inference(superposition,[status(thm)],[c_2759,c_1956]) ).

cnf(c_2851,plain,
    double_divide(double_divide(X0,X1),inverse(X2)) = multiply(multiply(X1,X0),X2),
    inference(superposition,[status(thm)],[c_68,c_2764]) ).

cnf(c_2852,plain,
    double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_1953,c_2764]) ).

cnf(c_3125,plain,
    double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_2774,c_2403]) ).

cnf(c_3457,plain,
    double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)) = double_divide(double_divide(X0,X2),identity),
    inference(light_normalisation,[status(thm)],[c_186,c_1349]) ).

cnf(c_3458,plain,
    multiply(multiply(X0,double_divide(inverse(X1),X2)),X2) = multiply(X0,X1),
    inference(demodulation,[status(thm)],[c_3457,c_51,c_68,c_2851]) ).

cnf(c_3473,plain,
    multiply(multiply(X0,multiply(X1,X2)),inverse(X2)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_2852,c_3458]) ).

cnf(c_4877,plain,
    double_divide(double_divide(multiply(X0,X1),X2),X1) = multiply(X2,X0),
    inference(demodulation,[status(thm)],[c_3473,c_1956,c_3125]) ).

cnf(c_4908,plain,
    double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
    inference(superposition,[status(thm)],[c_4877,c_2389]) ).

cnf(c_5180,plain,
    inverse(double_divide(X0,multiply(X1,X2))) = multiply(X1,multiply(X2,X0)),
    inference(superposition,[status(thm)],[c_4908,c_68]) ).

cnf(c_5257,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(demodulation,[status(thm)],[c_5180,c_68]) ).

cnf(c_5260,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm)],[c_53,c_5257]) ).

cnf(c_5261,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_5260]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16  % Problem  : GRP486-1 : TPTP v8.2.0. Released v2.6.0.
% 0.08/0.16  % Command  : run_iprover %s %d THM
% 0.14/0.38  % Computer : n020.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Thu Jun 20 08:03:24 EDT 2024
% 0.14/0.38  % CPUTime  : 
% 0.23/0.54  Running UEQ theorem proving
% 0.23/0.54  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
% 3.99/1.22  % SZS status Started for theBenchmark.p
% 3.99/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.22  
% 3.99/1.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.99/1.22  
% 3.99/1.22  ------  iProver source info
% 3.99/1.22  
% 3.99/1.22  git: date: 2024-06-12 09:56:46 +0000
% 3.99/1.22  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.99/1.22  git: non_committed_changes: false
% 3.99/1.22  
% 3.99/1.22  ------ Parsing...successful
% 3.99/1.22  
% 3.99/1.22  
% 3.99/1.22  
% 3.99/1.22  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.99/1.22  
% 3.99/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.99/1.22  
% 3.99/1.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.99/1.22  ------ Proving...
% 3.99/1.22  ------ Problem Properties 
% 3.99/1.22  
% 3.99/1.22  
% 3.99/1.22  clauses                                 5
% 3.99/1.22  conjectures                             1
% 3.99/1.22  EPR                                     0
% 3.99/1.22  Horn                                    5
% 3.99/1.22  unary                                   5
% 3.99/1.22  binary                                  0
% 3.99/1.22  lits                                    5
% 3.99/1.22  lits eq                                 5
% 3.99/1.22  fd_pure                                 0
% 3.99/1.22  fd_pseudo                               0
% 3.99/1.22  fd_cond                                 0
% 3.99/1.22  fd_pseudo_cond                          0
% 3.99/1.22  AC symbols                              0
% 3.99/1.22  
% 3.99/1.22  ------ Input Options Time Limit: Unbounded
% 3.99/1.22  
% 3.99/1.22  
% 3.99/1.22  ------ 
% 3.99/1.22  Current options:
% 3.99/1.22  ------ 
% 3.99/1.22  
% 3.99/1.22  
% 3.99/1.22  
% 3.99/1.22  
% 3.99/1.22  ------ Proving...
% 3.99/1.22  
% 3.99/1.22  
% 3.99/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.22  
% 3.99/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.99/1.22  
% 3.99/1.22  
%------------------------------------------------------------------------------