TSTP Solution File: NUM030-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM030-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 : Mon Jun 24 12:50:23 EDT 2024

% Result   : Unsatisfiable 77.31s 11.24s
% Output   : CNFRefutation 77.31s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    symmetrization_of(x) = x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetrization_property3_1) ).

cnf(c_50,negated_conjecture,
    ~ subclass(inverse(x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetrization_property3_2) ).

cnf(c_51,plain,
    union(X0,inverse(X0)) = symmetrization_of(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',symmetrization) ).

cnf(c_118,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_119,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_120,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_121,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_139,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(c_141,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_142,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_143,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).

cnf(c_4672,plain,
    inverse(x) = sP0_iProver_def,
    definition ).

cnf(c_4673,plain,
    symmetrization_of(x) = sP1_iProver_def,
    definition ).

cnf(c_4674,negated_conjecture,
    ~ subclass(sP0_iProver_def,x),
    inference(demodulation,[status(thm)],[c_50,c_4672]) ).

cnf(c_4675,negated_conjecture,
    sP1_iProver_def = x,
    inference(demodulation,[status(thm)],[c_49,c_4673]) ).

cnf(c_57930,plain,
    ~ subclass(sP0_iProver_def,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_4674,c_4675]) ).

cnf(c_57935,plain,
    inverse(sP1_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_4672,c_4675]) ).

cnf(c_57936,plain,
    symmetrization_of(sP1_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_4673,c_4675]) ).

cnf(c_57955,plain,
    union(sP1_iProver_def,sP0_iProver_def) = symmetrization_of(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_57935,c_51]) ).

cnf(c_57965,plain,
    union(sP1_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_57955,c_57936]) ).

cnf(c_58208,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_121,c_118]) ).

cnf(c_58268,plain,
    ( ~ member(X0,universal_class)
    | member(X0,intersection(complement(X1),complement(X2)))
    | member(X0,union(X1,X2)) ),
    inference(superposition,[status(thm)],[c_143,c_142]) ).

cnf(c_58289,plain,
    ( ~ member(X0,universal_class)
    | member(X0,union(X1,X2))
    | member(X0,complement(X2)) ),
    inference(superposition,[status(thm)],[c_58268,c_139]) ).

cnf(c_156671,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(sP0_iProver_def))
    | member(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_57965,c_58289]) ).

cnf(c_159216,plain,
    ( ~ member(X0,universal_class)
    | ~ member(X0,sP0_iProver_def)
    | member(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_156671,c_141]) ).

cnf(c_159345,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,sP1_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_159216,c_58208]) ).

cnf(c_159350,plain,
    ( member(not_subclass_element(sP0_iProver_def,X0),sP1_iProver_def)
    | subclass(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_119,c_159345]) ).

cnf(c_161065,plain,
    subclass(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_159350,c_120]) ).

cnf(c_161071,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_161065,c_57930]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM030-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Jun 23 01:49:09 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 77.31/11.24  % SZS status Started for theBenchmark.p
% 77.31/11.24  % SZS status Unsatisfiable for theBenchmark.p
% 77.31/11.24  
% 77.31/11.24  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 77.31/11.24  
% 77.31/11.24  ------  iProver source info
% 77.31/11.24  
% 77.31/11.24  git: date: 2024-06-12 09:56:46 +0000
% 77.31/11.24  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 77.31/11.24  git: non_committed_changes: false
% 77.31/11.24  
% 77.31/11.24  ------ Parsing...successful
% 77.31/11.24  
% 77.31/11.24  
% 77.31/11.24  
% 77.31/11.24  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 77.31/11.24  
% 77.31/11.24  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 77.31/11.24  
% 77.31/11.24  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 77.31/11.24  ------ Proving...
% 77.31/11.24  ------ Problem Properties 
% 77.31/11.24  
% 77.31/11.24  
% 77.31/11.24  clauses                                 141
% 77.31/11.24  conjectures                             2
% 77.31/11.24  EPR                                     16
% 77.31/11.24  Horn                                    129
% 77.31/11.24  unary                                   52
% 77.31/11.24  binary                                  58
% 77.31/11.24  lits                                    275
% 77.31/11.24  lits eq                                 65
% 77.31/11.24  fd_pure                                 0
% 77.31/11.24  fd_pseudo                               0
% 77.31/11.24  fd_cond                                 5
% 77.31/11.24  fd_pseudo_cond                          10
% 77.31/11.24  AC symbols                              0
% 77.31/11.24  
% 77.31/11.24  ------ Input Options Time Limit: Unbounded
% 77.31/11.24  
% 77.31/11.24  
% 77.31/11.24  ------ 
% 77.31/11.24  Current options:
% 77.31/11.24  ------ 
% 77.31/11.24  
% 77.31/11.24  
% 77.31/11.24  
% 77.31/11.24  
% 77.31/11.24  ------ Proving...
% 77.31/11.24  
% 77.31/11.24  
% 77.31/11.24  % SZS status Unsatisfiable for theBenchmark.p
% 77.31/11.24  
% 77.31/11.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 77.31/11.24  
% 77.31/11.24  
%------------------------------------------------------------------------------