TSTP Solution File: GRP182-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP182-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 02:21:38 EDT 2024

% Result   : Unsatisfiable 0.96s 1.21s
% Output   : CNFRefutation 0.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   7 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   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   :   12 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    greatest_lower_bound(identity,least_upper_bound(a,identity)) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p17b) ).

cnf(c_50,plain,
    greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).

cnf(c_51,plain,
    least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

cnf(c_52,plain,
    greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).

cnf(c_53,plain,
    least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).

cnf(c_57,plain,
    greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).

cnf(c_80,negated_conjecture,
    greatest_lower_bound(identity,least_upper_bound(identity,a)) != identity,
    inference(theory_normalisation,[status(thm)],[c_49,c_52,c_50,c_53,c_51]) ).

cnf(c_97,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_80,c_57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP182-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May  3 00:06:19 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.22/0.48  Running UEQ theorem proving
% 0.22/0.48  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
% 0.96/1.21  % SZS status Started for theBenchmark.p
% 0.96/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 0.96/1.21  
% 0.96/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.96/1.21  
% 0.96/1.21  ------  iProver source info
% 0.96/1.21  
% 0.96/1.21  git: date: 2024-05-02 19:28:25 +0000
% 0.96/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.96/1.21  git: non_committed_changes: false
% 0.96/1.21  
% 0.96/1.21  ------ Parsing...successful
% 0.96/1.21  
% 0.96/1.21  
% 0.96/1.21  
% 0.96/1.21  ------ Preprocessing...
% 0.96/1.21  
% 0.96/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 0.96/1.21  
% 0.96/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.96/1.21  
% 0.96/1.21  
%------------------------------------------------------------------------------