TSTP Solution File: GRP558-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP558-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 07:00:47 EDT 2024

% Result   : Unsatisfiable 1.98s 1.19s
% Output   : CNFRefutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   4 RR)
%            Number of literals    :   16 (  15 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   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   :   30 (   0 sgn)

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

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

cnf(c_51,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(c_60,plain,
    multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
    inference(demodulation,[status(thm)],[c_49,c_50]) ).

cnf(c_106,plain,
    multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2)))) = X1,
    inference(superposition,[status(thm)],[c_50,c_60]) ).

cnf(c_110,plain,
    multiply(X0,divide(multiply(X1,X2),multiply(X0,X2))) = X1,
    inference(demodulation,[status(thm)],[c_106,c_50]) ).

cnf(c_111,plain,
    multiply(X0,divide(X1,multiply(X0,divide(divide(X1,X2),divide(X3,X2))))) = X3,
    inference(superposition,[status(thm)],[c_60,c_110]) ).

cnf(c_121,plain,
    multiply(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_60,c_111]) ).

cnf(c_134,plain,
    multiply(X0,divide(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_121,c_111]) ).

cnf(c_146,plain,
    multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_50,c_134]) ).

cnf(c_209,plain,
    multiply(inverse(divide(X0,X1)),X0) = X1,
    inference(superposition,[status(thm)],[c_134,c_146]) ).

cnf(c_364,plain,
    inverse(divide(divide(X0,X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_209,c_121]) ).

cnf(c_366,plain,
    inverse(divide(X0,X1)) = multiply(inverse(X0),X1),
    inference(superposition,[status(thm)],[c_209,c_146]) ).

cnf(c_372,plain,
    multiply(inverse(divide(b2,b2)),a2) != a2,
    inference(demodulation,[status(thm)],[c_51,c_366]) ).

cnf(c_387,plain,
    a2 != a2,
    inference(demodulation,[status(thm)],[c_372,c_364,c_366]) ).

cnf(c_388,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_387]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP558-1 : TPTP v8.2.0. Released v2.6.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Jun 20 09:10:09 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.21/0.48  Running UEQ theorem proving
% 0.21/0.48  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
% 1.98/1.19  % SZS status Started for theBenchmark.p
% 1.98/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.19  
% 1.98/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.98/1.19  
% 1.98/1.19  ------  iProver source info
% 1.98/1.19  
% 1.98/1.19  git: date: 2024-06-12 09:56:46 +0000
% 1.98/1.19  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.98/1.19  git: non_committed_changes: false
% 1.98/1.19  
% 1.98/1.19  ------ Parsing...successful
% 1.98/1.19  
% 1.98/1.19  
% 1.98/1.19  
% 1.98/1.19  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.98/1.19  
% 1.98/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.98/1.19  
% 1.98/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 1.98/1.19  ------ Proving...
% 1.98/1.19  ------ Problem Properties 
% 1.98/1.19  
% 1.98/1.19  
% 1.98/1.19  clauses                                 3
% 1.98/1.19  conjectures                             1
% 1.98/1.19  EPR                                     0
% 1.98/1.19  Horn                                    3
% 1.98/1.19  unary                                   3
% 1.98/1.19  binary                                  0
% 1.98/1.19  lits                                    3
% 1.98/1.19  lits eq                                 3
% 1.98/1.19  fd_pure                                 0
% 1.98/1.19  fd_pseudo                               0
% 1.98/1.19  fd_cond                                 0
% 1.98/1.19  fd_pseudo_cond                          0
% 1.98/1.19  AC symbols                              0
% 1.98/1.19  
% 1.98/1.19  ------ Input Options Time Limit: Unbounded
% 1.98/1.19  
% 1.98/1.19  
% 1.98/1.19  ------ 
% 1.98/1.19  Current options:
% 1.98/1.19  ------ 
% 1.98/1.19  
% 1.98/1.19  
% 1.98/1.19  
% 1.98/1.19  
% 1.98/1.19  ------ Proving...
% 1.98/1.19  
% 1.98/1.19  
% 1.98/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.19  
% 1.98/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.98/1.19  
% 1.98/1.19  
%------------------------------------------------------------------------------