TSTP Solution File: GRP516-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP516-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 07:00:41 EDT 2024

% Result   : Unsatisfiable 2.73s 1.17s
% Output   : CNFRefutation 2.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   2 RR)
%            Number of literals    :   16 (  15 equ;   1 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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

cnf(c_91,plain,
    multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2))))))) = X3,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_95,plain,
    multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(superposition,[status(thm)],[c_49,c_91]) ).

cnf(c_114,plain,
    multiply(X0,multiply(X1,inverse(X0))) = X1,
    inference(superposition,[status(thm)],[c_95,c_91]) ).

cnf(c_129,plain,
    multiply(X0,multiply(multiply(X1,multiply(X2,inverse(X0))),inverse(X2))) = X1,
    inference(superposition,[status(thm)],[c_114,c_49]) ).

cnf(c_131,plain,
    multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
    inference(superposition,[status(thm)],[c_114,c_91]) ).

cnf(c_162,plain,
    multiply(multiply(X0,X1),multiply(X2,inverse(X0))) = multiply(X2,X1),
    inference(superposition,[status(thm)],[c_131,c_91]) ).

cnf(c_274,plain,
    multiply(X0,multiply(multiply(X1,X2),inverse(X1))) = multiply(X0,X2),
    inference(superposition,[status(thm)],[c_162,c_129]) ).

cnf(c_332,plain,
    multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
    inference(superposition,[status(thm)],[c_274,c_162]) ).

cnf(c_405,plain,
    multiply(X0,multiply(multiply(X1,inverse(X0)),X2)) = multiply(X1,X2),
    inference(superposition,[status(thm)],[c_332,c_114]) ).

cnf(c_454,plain,
    multiply(X0,inverse(multiply(X0,inverse(X1)))) = X1,
    inference(superposition,[status(thm)],[c_405,c_95]) ).

cnf(c_486,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_454,c_114]) ).

cnf(c_532,plain,
    multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(demodulation,[status(thm)],[c_486,c_332]) ).

cnf(c_547,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_532,c_114]) ).

cnf(c_554,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_50,c_547]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP516-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu Jun 20 08:32:39 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  Running UEQ theorem proving
% 0.19/0.45  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
% 2.73/1.17  % SZS status Started for theBenchmark.p
% 2.73/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.73/1.17  
% 2.73/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.73/1.17  
% 2.73/1.17  ------  iProver source info
% 2.73/1.17  
% 2.73/1.17  git: date: 2024-06-12 09:56:46 +0000
% 2.73/1.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.73/1.17  git: non_committed_changes: false
% 2.73/1.17  
% 2.73/1.17  ------ Parsing...successful
% 2.73/1.17  
% 2.73/1.17  
% 2.73/1.17  
% 2.73/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.73/1.17  
% 2.73/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.73/1.17  
% 2.73/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.73/1.17  ------ Proving...
% 2.73/1.17  ------ Problem Properties 
% 2.73/1.17  
% 2.73/1.17  
% 2.73/1.17  clauses                                 2
% 2.73/1.17  conjectures                             1
% 2.73/1.17  EPR                                     0
% 2.73/1.17  Horn                                    2
% 2.73/1.17  unary                                   2
% 2.73/1.17  binary                                  0
% 2.73/1.17  lits                                    2
% 2.73/1.17  lits eq                                 2
% 2.73/1.17  fd_pure                                 0
% 2.73/1.17  fd_pseudo                               0
% 2.73/1.17  fd_cond                                 0
% 2.73/1.17  fd_pseudo_cond                          0
% 2.73/1.17  AC symbols                              0
% 2.73/1.17  
% 2.73/1.17  ------ Input Options Time Limit: Unbounded
% 2.73/1.17  
% 2.73/1.17  
% 2.73/1.17  ------ 
% 2.73/1.17  Current options:
% 2.73/1.17  ------ 
% 2.73/1.17  
% 2.73/1.17  
% 2.73/1.17  
% 2.73/1.17  
% 2.73/1.17  ------ Proving...
% 2.73/1.17  
% 2.73/1.17  
% 2.73/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.73/1.17  
% 2.73/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.73/1.17  
% 2.73/1.17  
%------------------------------------------------------------------------------