%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP146-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 02:21:28 EDT 2024

% Result   : Unsatisfiable 1.13s 1.13s
% Output   : CNFRefutation 1.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (  11 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    least_upper_bound(a,c) = c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1a_1) ).

cnf(c_50,plain,
    least_upper_bound(b,c) = c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1a_2) ).

cnf(c_51,negated_conjecture,
    least_upper_bound(least_upper_bound(a,b),c) != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_lub1a) ).

cnf(c_52,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_53,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_54,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_55,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_82,plain,
    least_upper_bound(c,a) = c,
    inference(theory_normalisation,[status(thm)],[c_49,c_54,c_52,c_55,c_53]) ).

cnf(c_83,plain,
    least_upper_bound(c,b) = c,
    inference(theory_normalisation,[status(thm)],[c_50,c_54,c_52,c_55,c_53]) ).

cnf(c_84,negated_conjecture,
    least_upper_bound(c,least_upper_bound(a,b)) != c,
    inference(theory_normalisation,[status(thm)],[c_51,c_54,c_52,c_55,c_53]) ).

cnf(c_121,plain,
    least_upper_bound(a,c) != c,
    inference(ac_demodulation,[status(thm)],[c_84,c_83,c_55,c_53,c_54,c_52]) ).

cnf(c_122,plain,
    $false,
    inference(ac_demodulation,[status(thm)],[c_121,c_82,c_55,c_53,c_54,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : GRP146-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n012.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 23:43:55 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.45  Running UEQ theorem proving
% 0.17/0.45  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
% 1.13/1.13  % SZS status Started for theBenchmark.p
% 1.13/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.13  
% 1.13/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.13/1.13  
% 1.13/1.13  ------  iProver source info
% 1.13/1.13  
% 1.13/1.13  git: date: 2024-05-02 19:28:25 +0000
% 1.13/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.13/1.13  git: non_committed_changes: false
% 1.13/1.13  
% 1.13/1.13  ------ Parsing...successful
% 1.13/1.13  
% 1.13/1.13  
% 1.13/1.13  
% 1.13/1.13  ------ Preprocessing...
% 1.13/1.13  
% 1.13/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.13  
% 1.13/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/1.13  
% 1.13/1.13  
%------------------------------------------------------------------------------