TSTP Solution File: GRP031-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP031-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 06:57:36 EDT 2024

% Result   : Unsatisfiable 2.86s 1.17s
% Output   : CNFRefutation 2.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   14 (  12 unt;   0 nHn;   5 RR)
%            Number of literals    :   20 (  12 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    product(identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

cnf(c_50,plain,
    product(inverse(X0),X0,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

cnf(c_51,negated_conjecture,
    ~ product(a,X0,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_an_inverse) ).

cnf(c_55,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X3,X4)
    | ~ product(X1,X5,X3)
    | product(X2,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP002-0.ax',associativity2) ).

cnf(c_61,plain,
    multiply(identity,X0) = X0,
    inference(well_definedness,[status(thm)],[c_49]) ).

cnf(c_62,plain,
    multiply(inverse(X0),X0) = identity,
    inference(well_definedness,[status(thm)],[c_50]) ).

cnf(c_63,plain,
    multiply(a,X0) != identity,
    inference(well_definedness,[status(thm)],[c_51]) ).

cnf(c_69,plain,
    ( multiply(X0,X1) != X2
    | multiply(X0,X3) != X4
    | multiply(X1,X5) != X3
    | multiply(X2,X5) = X4 ),
    inference(well_definedness,[status(thm)],[c_55]) ).

cnf(c_107,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(unflattening,[status(thm)],[c_69]) ).

cnf(c_151,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_62,c_107]) ).

cnf(c_155,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_151,c_61]) ).

cnf(c_159,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_155,c_155]) ).

cnf(c_221,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_159,c_62]) ).

cnf(c_241,plain,
    $false,
    inference(superposition,[status(thm)],[c_221,c_63]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP031-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n028.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 11:47:24 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.86/1.17  % SZS status Started for theBenchmark.p
% 2.86/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.17  
% 2.86/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.86/1.17  
% 2.86/1.17  ------  iProver source info
% 2.86/1.17  
% 2.86/1.17  git: date: 2024-06-12 09:56:46 +0000
% 2.86/1.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.86/1.17  git: non_committed_changes: false
% 2.86/1.17  
% 2.86/1.17  ------ Parsing...successful
% 2.86/1.17  
% 2.86/1.17  
% 2.86/1.17  
% 2.86/1.17  ------ Preprocessing... sup_sim: 4  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.86/1.17  
% 2.86/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.86/1.17  
% 2.86/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.86/1.17  ------ Proving...
% 2.86/1.17  ------ Problem Properties 
% 2.86/1.17  
% 2.86/1.17  
% 2.86/1.17  clauses                                 4
% 2.86/1.17  conjectures                             0
% 2.86/1.17  EPR                                     0
% 2.86/1.17  Horn                                    4
% 2.86/1.17  unary                                   4
% 2.86/1.17  binary                                  0
% 2.86/1.17  lits                                    4
% 2.86/1.17  lits eq                                 4
% 2.86/1.17  fd_pure                                 0
% 2.86/1.17  fd_pseudo                               0
% 2.86/1.17  fd_cond                                 0
% 2.86/1.17  fd_pseudo_cond                          0
% 2.86/1.17  AC symbols                              0
% 2.86/1.17  
% 2.86/1.17  ------ Schedule UEQ
% 2.86/1.17  
% 2.86/1.17  ------ Option_UEQ Time Limit: 10.
% 2.86/1.17  
% 2.86/1.17  
% 2.86/1.17  ------ 
% 2.86/1.17  Current options:
% 2.86/1.17  ------ 
% 2.86/1.17  
% 2.86/1.17  
% 2.86/1.17  
% 2.86/1.17  
% 2.86/1.17  ------ Proving...
% 2.86/1.17  
% 2.86/1.17  
% 2.86/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.17  
% 2.86/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.86/1.17  
% 2.86/1.17  
%------------------------------------------------------------------------------