TSTP Solution File: GRP175-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP175-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:21:35 EDT 2024

% Result   : Unsatisfiable 4.13s 1.22s
% Output   : CNFRefutation 4.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (  13 unt;   0 nHn;   7 RR)
%            Number of literals    :   13 (  12 equ;   5 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;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    greatest_lower_bound(identity,b) = identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p06b_1) ).

cnf(c_50,negated_conjecture,
    greatest_lower_bound(identity,multiply(inverse(a),multiply(b,a))) != identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p06b) ).

cnf(c_60,plain,
    greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,greatest_lower_bound(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).

cnf(c_62,plain,
    greatest_lower_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(greatest_lower_bound(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).

cnf(c_63,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_64,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_327,plain,
    multiply(inverse(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(identity,multiply(inverse(X0),X1)),
    inference(superposition,[status(thm)],[c_64,c_60]) ).

cnf(c_340,plain,
    multiply(inverse(a),greatest_lower_bound(a,multiply(b,a))) != identity,
    inference(demodulation,[status(thm)],[c_50,c_327]) ).

cnf(c_382,plain,
    greatest_lower_bound(X0,multiply(X1,X0)) = multiply(greatest_lower_bound(identity,X1),X0),
    inference(superposition,[status(thm)],[c_63,c_62]) ).

cnf(c_2031,plain,
    multiply(inverse(a),multiply(greatest_lower_bound(identity,b),a)) != identity,
    inference(demodulation,[status(thm)],[c_340,c_382]) ).

cnf(c_2032,plain,
    multiply(inverse(a),multiply(identity,a)) != identity,
    inference(light_normalisation,[status(thm)],[c_2031,c_49]) ).

cnf(c_2193,plain,
    multiply(inverse(a),a) != identity,
    inference(superposition,[status(thm)],[c_63,c_2032]) ).

cnf(c_2194,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2193,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP175-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n026.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 00:06:36 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  Running UEQ theorem proving
% 0.19/0.47  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
% 4.13/1.22  % SZS status Started for theBenchmark.p
% 4.13/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.22  
% 4.13/1.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.13/1.22  
% 4.13/1.22  ------  iProver source info
% 4.13/1.22  
% 4.13/1.22  git: date: 2024-05-02 19:28:25 +0000
% 4.13/1.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.13/1.22  git: non_committed_changes: false
% 4.13/1.22  
% 4.13/1.22  ------ Parsing...successful
% 4.13/1.22  
% 4.13/1.22  
% 4.13/1.22  
% 4.13/1.22  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.13/1.22  
% 4.13/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.13/1.22  
% 4.13/1.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.13/1.22  ------ Proving...
% 4.13/1.22  ------ Problem Properties 
% 4.13/1.22  
% 4.13/1.22  
% 4.13/1.22  clauses                                 17
% 4.13/1.22  conjectures                             1
% 4.13/1.22  EPR                                     0
% 4.13/1.22  Horn                                    17
% 4.13/1.22  unary                                   17
% 4.13/1.22  binary                                  0
% 4.13/1.22  lits                                    17
% 4.13/1.22  lits eq                                 17
% 4.13/1.22  fd_pure                                 0
% 4.13/1.22  fd_pseudo                               0
% 4.13/1.22  fd_cond                                 0
% 4.13/1.22  fd_pseudo_cond                          0
% 4.13/1.22  AC symbols                              2
% 4.13/1.22  
% 4.13/1.22  ------ Input Options Time Limit: Unbounded
% 4.13/1.22  
% 4.13/1.22  
% 4.13/1.22  ------ 
% 4.13/1.22  Current options:
% 4.13/1.22  ------ 
% 4.13/1.22  
% 4.13/1.22  
% 4.13/1.22  
% 4.13/1.22  
% 4.13/1.22  ------ Proving...
% 4.13/1.22  
% 4.13/1.22  
% 4.13/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.22  
% 4.13/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.13/1.22  
% 4.13/1.22  
%------------------------------------------------------------------------------