TSTP Solution File: GRP011-4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP011-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 02:19:45 EDT 2024

% Result   : Unsatisfiable 3.02s 1.19s
% Output   : CNFRefutation 3.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   6 RR)
%            Number of literals    :   17 (  16 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   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   :   16 (   0 sgn)

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

cnf(c_50,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

cnf(c_51,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

cnf(c_52,plain,
    multiply(b,c) = multiply(d,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_equality) ).

cnf(c_53,negated_conjecture,
    b != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation) ).

cnf(c_70,negated_conjecture,
    b != d,
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_102,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_103,plain,
    multiply(multiply(b,c),X0) = multiply(d,multiply(c,X0)),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_108,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_102,c_50]) ).

cnf(c_111,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_51,c_108]) ).

cnf(c_113,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_108,c_108]) ).

cnf(c_128,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_111,c_113]) ).

cnf(c_145,plain,
    multiply(b,multiply(c,X0)) = multiply(d,multiply(c,X0)),
    inference(demodulation,[status(thm)],[c_103,c_49]) ).

cnf(c_170,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_113,c_51]) ).

cnf(c_191,plain,
    multiply(b,identity) = multiply(d,identity),
    inference(superposition,[status(thm)],[c_170,c_145]) ).

cnf(c_194,plain,
    b = d,
    inference(demodulation,[status(thm)],[c_191,c_128]) ).

cnf(c_195,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_194,c_70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.36  % Computer : n014.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Thu May  2 23:49:47 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.21/0.48  Running UEQ theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.02/1.19  % SZS status Started for theBenchmark.p
% 3.02/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.19  
% 3.02/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.02/1.19  
% 3.02/1.19  ------  iProver source info
% 3.02/1.19  
% 3.02/1.19  git: date: 2024-05-02 19:28:25 +0000
% 3.02/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.02/1.19  git: non_committed_changes: false
% 3.02/1.19  
% 3.02/1.19  ------ Parsing...successful
% 3.02/1.19  
% 3.02/1.19  
% 3.02/1.19  
% 3.02/1.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.02/1.19  
% 3.02/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.02/1.19  
% 3.02/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.02/1.19  ------ Proving...
% 3.02/1.19  ------ Problem Properties 
% 3.02/1.19  
% 3.02/1.19  
% 3.02/1.19  clauses                                 5
% 3.02/1.19  conjectures                             1
% 3.02/1.19  EPR                                     1
% 3.02/1.19  Horn                                    5
% 3.02/1.19  unary                                   5
% 3.02/1.19  binary                                  0
% 3.02/1.19  lits                                    5
% 3.02/1.19  lits eq                                 5
% 3.02/1.19  fd_pure                                 0
% 3.02/1.19  fd_pseudo                               0
% 3.02/1.19  fd_cond                                 0
% 3.02/1.19  fd_pseudo_cond                          0
% 3.02/1.19  AC symbols                              0
% 3.02/1.19  
% 3.02/1.19  ------ Input Options Time Limit: Unbounded
% 3.02/1.19  
% 3.02/1.19  
% 3.02/1.19  ------ 
% 3.02/1.19  Current options:
% 3.02/1.19  ------ 
% 3.02/1.19  
% 3.02/1.19  
% 3.02/1.19  
% 3.02/1.19  
% 3.02/1.19  ------ Proving...
% 3.02/1.19  
% 3.02/1.19  
% 3.02/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.19  
% 3.02/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.02/1.19  
% 3.02/1.19  
%------------------------------------------------------------------------------