TSTP Solution File: GRP206-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP206-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Fri May  3 02:21:44 EDT 2024

% Result   : Unsatisfiable 1.99s 1.15s
% Output   : CNFRefutation 1.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   3 RR)
%            Number of literals    :   12 (  11 equ;   2 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

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

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

cnf(c_51,plain,
    multiply(X0,left_division(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_left_division) ).

cnf(c_52,plain,
    left_division(X0,multiply(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_division_multiply) ).

cnf(c_57,plain,
    multiply(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,multiply(multiply(X1,X2),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang4) ).

cnf(c_58,negated_conjecture,
    multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang1) ).

cnf(c_88,plain,
    multiply(multiply(a,multiply(b,c)),a) != multiply(a,multiply(multiply(b,c),a)),
    inference(demodulation,[status(thm)],[c_58,c_57]) ).

cnf(c_180,plain,
    multiply(X0,multiply(multiply(left_division(X0,X1),X2),X0)) = multiply(X1,multiply(X2,X0)),
    inference(superposition,[status(thm)],[c_51,c_57]) ).

cnf(c_271,plain,
    multiply(X0,multiply(left_division(X0,X1),X0)) = multiply(X1,multiply(identity,X0)),
    inference(superposition,[status(thm)],[c_50,c_180]) ).

cnf(c_287,plain,
    multiply(X0,multiply(left_division(X0,X1),X0)) = multiply(X1,X0),
    inference(light_normalisation,[status(thm)],[c_271,c_49]) ).

cnf(c_316,plain,
    multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_52,c_287]) ).

cnf(c_333,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_88,c_316]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP206-1 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May  3 00:00:46 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running UEQ theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.99/1.15  % SZS status Started for theBenchmark.p
% 1.99/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.15  
% 1.99/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.99/1.15  
% 1.99/1.15  ------  iProver source info
% 1.99/1.15  
% 1.99/1.15  git: date: 2024-05-02 19:28:25 +0000
% 1.99/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.99/1.15  git: non_committed_changes: false
% 1.99/1.15  
% 1.99/1.15  ------ Parsing...successful
% 1.99/1.15  
% 1.99/1.15  
% 1.99/1.15  
% 1.99/1.15  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.99/1.15  
% 1.99/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.99/1.15  
% 1.99/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 1.99/1.15  ------ Proving...
% 1.99/1.15  ------ Problem Properties 
% 1.99/1.15  
% 1.99/1.15  
% 1.99/1.15  clauses                                 10
% 1.99/1.15  conjectures                             0
% 1.99/1.15  EPR                                     0
% 1.99/1.15  Horn                                    10
% 1.99/1.15  unary                                   10
% 1.99/1.15  binary                                  0
% 1.99/1.15  lits                                    10
% 1.99/1.15  lits eq                                 10
% 1.99/1.15  fd_pure                                 0
% 1.99/1.15  fd_pseudo                               0
% 1.99/1.15  fd_cond                                 0
% 1.99/1.15  fd_pseudo_cond                          0
% 1.99/1.15  AC symbols                              0
% 1.99/1.15  
% 1.99/1.15  ------ Input Options Time Limit: Unbounded
% 1.99/1.15  
% 1.99/1.15  
% 1.99/1.15  ------ 
% 1.99/1.15  Current options:
% 1.99/1.15  ------ 
% 1.99/1.15  
% 1.99/1.15  
% 1.99/1.15  
% 1.99/1.15  
% 1.99/1.15  ------ Proving...
% 1.99/1.15  
% 1.99/1.15  
% 1.99/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.15  
% 1.99/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.99/1.15  
% 1.99/1.15  
%------------------------------------------------------------------------------