TSTP Solution File: GRP159-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP159-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 02:21:30 EDT 2024

% Result   : Unsatisfiable 2.77s 0.94s
% Output   : CNFRefutation 2.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   7 RR)
%            Number of literals    :   14 (  13 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    greatest_lower_bound(a,b) = a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_mono2c_1) ).

cnf(c_50,negated_conjecture,
    least_upper_bound(multiply(c,a),multiply(c,b)) != multiply(c,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_mono2c) ).

cnf(c_51,plain,
    greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).

cnf(c_52,plain,
    least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

cnf(c_53,plain,
    greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).

cnf(c_54,plain,
    least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).

cnf(c_57,plain,
    least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).

cnf(c_59,plain,
    least_upper_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,least_upper_bound(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).

cnf(c_115,plain,
    multiply(c,least_upper_bound(a,b)) != multiply(c,b),
    inference(ac_demodulation,[status(thm)],[c_50,c_59,c_53,c_51,c_54,c_52]) ).

cnf(c_207,plain,
    least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_51,c_57]) ).

cnf(c_246,plain,
    least_upper_bound(b,a) = b,
    inference(superposition,[status(thm)],[c_49,c_207]) ).

cnf(c_257,plain,
    least_upper_bound(a,b) = b,
    inference(theory_normalisation,[status(thm)],[c_246,c_53,c_51,c_54,c_52]) ).

cnf(c_260,plain,
    multiply(c,b) != multiply(c,b),
    inference(demodulation,[status(thm)],[c_115,c_257]) ).

cnf(c_261,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_260]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : GRP159-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.08  % Command  : run_iprover %s %d THM
% 0.07/0.26  % Computer : n015.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Fri May  3 00:13:21 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.11/0.34  Running UEQ theorem proving
% 0.11/0.34  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
% 2.77/0.94  % SZS status Started for theBenchmark.p
% 2.77/0.94  % SZS status Unsatisfiable for theBenchmark.p
% 2.77/0.94  
% 2.77/0.94  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.77/0.94  
% 2.77/0.94  ------  iProver source info
% 2.77/0.94  
% 2.77/0.94  git: date: 2024-05-02 19:28:25 +0000
% 2.77/0.94  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.77/0.94  git: non_committed_changes: false
% 2.77/0.94  
% 2.77/0.94  ------ Parsing...successful
% 2.77/0.94  
% 2.77/0.94  
% 2.77/0.94  
% 2.77/0.94  ------ Preprocessing... sup_sim: 3  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.77/0.94  
% 2.77/0.94  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.77/0.94  
% 2.77/0.94  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.77/0.94  ------ Proving...
% 2.77/0.94  ------ Problem Properties 
% 2.77/0.94  
% 2.77/0.94  
% 2.77/0.94  clauses                                 17
% 2.77/0.94  conjectures                             0
% 2.77/0.94  EPR                                     0
% 2.77/0.94  Horn                                    17
% 2.77/0.94  unary                                   17
% 2.77/0.94  binary                                  0
% 2.77/0.94  lits                                    17
% 2.77/0.94  lits eq                                 17
% 2.77/0.94  fd_pure                                 0
% 2.77/0.94  fd_pseudo                               0
% 2.77/0.94  fd_cond                                 0
% 2.77/0.94  fd_pseudo_cond                          0
% 2.77/0.94  AC symbols                              2
% 2.77/0.94  
% 2.77/0.94  ------ Input Options Time Limit: Unbounded
% 2.77/0.94  
% 2.77/0.94  
% 2.77/0.94  ------ 
% 2.77/0.94  Current options:
% 2.77/0.94  ------ 
% 2.77/0.94  
% 2.77/0.94  
% 2.77/0.94  
% 2.77/0.94  
% 2.77/0.94  ------ Proving...
% 2.77/0.94  
% 2.77/0.94  
% 2.77/0.94  % SZS status Unsatisfiable for theBenchmark.p
% 2.77/0.94  
% 2.77/0.94  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.77/0.94  
% 2.77/0.94  
%------------------------------------------------------------------------------