TSTP Solution File: GRP148-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP148-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 02:21:29 EDT 2024

% Result   : Unsatisfiable 3.66s 1.16s
% Output   : CNFRefutation 3.66s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    least_upper_bound(a,c) = c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1c_1) ).

cnf(c_50,plain,
    least_upper_bound(b,c) = c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1c_2) ).

cnf(c_51,negated_conjecture,
    greatest_lower_bound(least_upper_bound(a,b),c) != least_upper_bound(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_lub1c) ).

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_59,plain,
    greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).

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

cnf(c_126,plain,
    least_upper_bound(a,b) = sP0_iProver_def,
    definition ).

cnf(c_127,plain,
    greatest_lower_bound(c,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_128,negated_conjecture,
    sP1_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_84,c_126,c_127]) ).

cnf(c_202,plain,
    least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X1,least_upper_bound(X0,X2)),
    inference(superposition,[status(thm)],[c_55,c_53]) ).

cnf(c_208,plain,
    greatest_lower_bound(sP0_iProver_def,c) = sP1_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_127,c_55,c_53,c_54,c_52]) ).

cnf(c_215,plain,
    least_upper_bound(a,least_upper_bound(X0,b)) = least_upper_bound(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_126,c_202]) ).

cnf(c_547,plain,
    least_upper_bound(a,c) = least_upper_bound(c,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_83,c_215]) ).

cnf(c_558,plain,
    least_upper_bound(c,a) = least_upper_bound(sP0_iProver_def,c),
    inference(theory_normalisation,[status(thm)],[c_547,c_55,c_53,c_54,c_52]) ).

cnf(c_559,plain,
    least_upper_bound(sP0_iProver_def,c) = c,
    inference(light_normalisation,[status(thm)],[c_558,c_82]) ).

cnf(c_603,plain,
    greatest_lower_bound(sP0_iProver_def,c) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_559,c_59]) ).

cnf(c_607,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_208,c_603]) ).

cnf(c_612,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_128,c_607]) ).

cnf(c_613,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_612]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP148-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 23:38:11 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  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
% 3.66/1.16  % SZS status Started for theBenchmark.p
% 3.66/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.16  
% 3.66/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.66/1.16  
% 3.66/1.16  ------  iProver source info
% 3.66/1.16  
% 3.66/1.16  git: date: 2024-05-02 19:28:25 +0000
% 3.66/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.66/1.16  git: non_committed_changes: false
% 3.66/1.16  
% 3.66/1.16  ------ Parsing...successful
% 3.66/1.16  
% 3.66/1.16  
% 3.66/1.16  
% 3.66/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.66/1.16  
% 3.66/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.66/1.16  
% 3.66/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.66/1.16  ------ Proving...
% 3.66/1.16  ------ Problem Properties 
% 3.66/1.16  
% 3.66/1.16  
% 3.66/1.16  clauses                                 20
% 3.66/1.16  conjectures                             1
% 3.66/1.16  EPR                                     1
% 3.66/1.16  Horn                                    20
% 3.66/1.16  unary                                   20
% 3.66/1.16  binary                                  0
% 3.66/1.16  lits                                    20
% 3.66/1.16  lits eq                                 20
% 3.66/1.16  fd_pure                                 0
% 3.66/1.16  fd_pseudo                               0
% 3.66/1.16  fd_cond                                 0
% 3.66/1.16  fd_pseudo_cond                          0
% 3.66/1.16  AC symbols                              2
% 3.66/1.16  
% 3.66/1.16  ------ Input Options Time Limit: Unbounded
% 3.66/1.16  
% 3.66/1.16  
% 3.66/1.16  ------ 
% 3.66/1.16  Current options:
% 3.66/1.16  ------ 
% 3.66/1.16  
% 3.66/1.16  
% 3.66/1.16  
% 3.66/1.16  
% 3.66/1.16  ------ Proving...
% 3.66/1.16  
% 3.66/1.16  
% 3.66/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.16  
% 3.66/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.66/1.16  
% 3.66/1.16  
%------------------------------------------------------------------------------