TSTP Solution File: NUM042-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM042-1 : TPTP v8.1.2. 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 : Fri May  3 02:48:09 EDT 2024

% Result   : Unsatisfiable 7.88s 1.73s
% Output   : CNFRefutation 7.88s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    subclass(x,complement(identity_relation)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_irreflexive_class_property4_1) ).

cnf(c_50,negated_conjecture,
    ~ irreflexive(x,domain_of(symmetrization_of(x))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_irreflexive_class_property4_2) ).

cnf(c_53,plain,
    ( ~ subclass(restrict(X0,X1,X1),complement(identity_relation))
    | irreflexive(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',irreflexive2) ).

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_138,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_145,plain,
    intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).

cnf(c_346,plain,
    ( irreflexive(X0,X1)
    | ~ subclass(restrict(X0,X1,X1),complement(identity_relation)) ),
    inference(prop_impl_just,[status(thm)],[c_53]) ).

cnf(c_347,plain,
    ( ~ subclass(restrict(X0,X1,X1),complement(identity_relation))
    | irreflexive(X0,X1) ),
    inference(renaming,[status(thm)],[c_346]) ).

cnf(c_2095,plain,
    ( domain_of(symmetrization_of(x)) != X0
    | X1 != x
    | ~ subclass(restrict(X1,X0,X0),complement(identity_relation)) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_347]) ).

cnf(c_2096,plain,
    ~ subclass(restrict(x,domain_of(symmetrization_of(x)),domain_of(symmetrization_of(x))),complement(identity_relation)),
    inference(unflattening,[status(thm)],[c_2095]) ).

cnf(c_4679,plain,
    complement(identity_relation) = sP0_iProver_def,
    definition ).

cnf(c_4680,negated_conjecture,
    subclass(x,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_4679]) ).

cnf(c_6160,plain,
    ~ subclass(restrict(x,domain_of(symmetrization_of(x)),domain_of(symmetrization_of(x))),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_2096,c_4679]) ).

cnf(c_6337,plain,
    ( member(not_subclass_element(intersection(X0,X1),X2),X0)
    | subclass(intersection(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_119,c_138]) ).

cnf(c_6831,plain,
    ( ~ member(X0,x)
    | member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_4680,c_118]) ).

cnf(c_11769,plain,
    ( member(not_subclass_element(intersection(x,X0),X1),sP0_iProver_def)
    | subclass(intersection(x,X0),X1) ),
    inference(superposition,[status(thm)],[c_6337,c_6831]) ).

cnf(c_11957,plain,
    subclass(intersection(x,X0),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_11769,c_120]) ).

cnf(c_11970,plain,
    subclass(restrict(x,X0,X1),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_145,c_11957]) ).

cnf(c_11978,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_6160,c_11970]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM042-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 19:30:01 EDT 2024
% 0.19/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 7.88/1.73  % SZS status Started for theBenchmark.p
% 7.88/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.73  
% 7.88/1.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.88/1.73  
% 7.88/1.73  ------  iProver source info
% 7.88/1.73  
% 7.88/1.73  git: date: 2024-05-02 19:28:25 +0000
% 7.88/1.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.88/1.73  git: non_committed_changes: false
% 7.88/1.73  
% 7.88/1.73  ------ Parsing...successful
% 7.88/1.73  
% 7.88/1.73  
% 7.88/1.73  
% 7.88/1.73  ------ 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: 4 0s  sf_e  pe_s  pe_e 
% 7.88/1.73  
% 7.88/1.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.88/1.73  
% 7.88/1.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.88/1.73  ------ Proving...
% 7.88/1.73  ------ Problem Properties 
% 7.88/1.73  
% 7.88/1.73  
% 7.88/1.73  clauses                                 140
% 7.88/1.73  conjectures                             1
% 7.88/1.73  EPR                                     15
% 7.88/1.73  Horn                                    128
% 7.88/1.73  unary                                   51
% 7.88/1.73  binary                                  58
% 7.88/1.73  lits                                    274
% 7.88/1.73  lits eq                                 63
% 7.88/1.73  fd_pure                                 0
% 7.88/1.73  fd_pseudo                               0
% 7.88/1.73  fd_cond                                 5
% 7.88/1.73  fd_pseudo_cond                          10
% 7.88/1.73  AC symbols                              0
% 7.88/1.73  
% 7.88/1.73  ------ Schedule dynamic 5 is on 
% 7.88/1.73  
% 7.88/1.73  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.88/1.73  
% 7.88/1.73  
% 7.88/1.73  ------ 
% 7.88/1.73  Current options:
% 7.88/1.73  ------ 
% 7.88/1.73  
% 7.88/1.73  
% 7.88/1.73  
% 7.88/1.73  
% 7.88/1.73  ------ Proving...
% 7.88/1.73  
% 7.88/1.73  
% 7.88/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.73  
% 7.88/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.88/1.73  
% 7.88/1.73  
%------------------------------------------------------------------------------