TSTP Solution File: SET079-6 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET079-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 02:59:45 EDT 2024

% Result   : Unsatisfiable 4.00s 1.21s
% Output   : CNFRefutation 4.00s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_1) ).

cnf(c_50,negated_conjecture,
    singleton(x) = null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_2) ).

cnf(c_59,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(c_62,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_71,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_72,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(c_74,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_116,plain,
    ( X0 = null_class
    | member(regular(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c_2695,plain,
    singleton(x) = sP0_iProver_def,
    definition ).

cnf(c_2696,negated_conjecture,
    sP0_iProver_def = null_class,
    inference(demodulation,[status(thm)],[c_50,c_2695]) ).

cnf(c_2697,negated_conjecture,
    member(x,universal_class),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_3706,plain,
    ( X0 = sP0_iProver_def
    | member(regular(X0),X0) ),
    inference(light_normalisation,[status(thm)],[c_116,c_2696]) ).

cnf(c_3720,plain,
    ( ~ member(X0,universal_class)
    | member(X0,singleton(X0)) ),
    inference(superposition,[status(thm)],[c_62,c_59]) ).

cnf(c_3728,plain,
    ( ~ member(x,universal_class)
    | member(x,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_2695,c_3720]) ).

cnf(c_3729,plain,
    member(x,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_3728,c_2697]) ).

cnf(c_3744,plain,
    ( intersection(X0,X1) = sP0_iProver_def
    | member(regular(intersection(X0,X1)),X0) ),
    inference(superposition,[status(thm)],[c_3706,c_71]) ).

cnf(c_3816,plain,
    ( intersection(X0,X1) = sP0_iProver_def
    | member(regular(intersection(X0,X1)),X1) ),
    inference(superposition,[status(thm)],[c_3706,c_72]) ).

cnf(c_3845,plain,
    ( ~ member(regular(intersection(complement(X0),X1)),X0)
    | intersection(complement(X0),X1) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_3744,c_74]) ).

cnf(c_3950,plain,
    intersection(complement(X0),X0) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_3816,c_3845]) ).

cnf(c_3970,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_3950,c_72]) ).

cnf(c_3971,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_3950,c_71]) ).

cnf(c_4089,plain,
    ~ member(X0,sP0_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_3970,c_74,c_3970,c_3971]) ).

cnf(c_4092,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_3729,c_4089]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET079-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 20:34:57 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.00/1.21  % SZS status Started for theBenchmark.p
% 4.00/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 4.00/1.21  
% 4.00/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.00/1.21  
% 4.00/1.21  ------  iProver source info
% 4.00/1.21  
% 4.00/1.21  git: date: 2024-05-02 19:28:25 +0000
% 4.00/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.00/1.21  git: non_committed_changes: false
% 4.00/1.21  
% 4.00/1.21  ------ Parsing...successful
% 4.00/1.21  
% 4.00/1.21  
% 4.00/1.21  
% 4.00/1.21  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 4.00/1.21  
% 4.00/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.00/1.21  
% 4.00/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.00/1.21  ------ Proving...
% 4.00/1.21  ------ Problem Properties 
% 4.00/1.21  
% 4.00/1.21  
% 4.00/1.21  clauses                                 86
% 4.00/1.21  conjectures                             2
% 4.00/1.21  EPR                                     14
% 4.00/1.21  Horn                                    78
% 4.00/1.21  unary                                   34
% 4.00/1.21  binary                                  32
% 4.00/1.21  lits                                    164
% 4.00/1.21  lits eq                                 38
% 4.00/1.21  fd_pure                                 0
% 4.00/1.22  fd_pseudo                               0
% 4.00/1.22  fd_cond                                 3
% 4.00/1.22  fd_pseudo_cond                          3
% 4.00/1.22  AC symbols                              0
% 4.00/1.22  
% 4.00/1.22  ------ Schedule dynamic 5 is on 
% 4.00/1.22  
% 4.00/1.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.00/1.22  
% 4.00/1.22  
% 4.00/1.22  ------ 
% 4.00/1.22  Current options:
% 4.00/1.22  ------ 
% 4.00/1.22  
% 4.00/1.22  
% 4.00/1.22  
% 4.00/1.22  
% 4.00/1.22  ------ Proving...
% 4.00/1.22  
% 4.00/1.22  
% 4.00/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 4.00/1.22  
% 4.00/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.00/1.22  
% 4.00/1.22  
%------------------------------------------------------------------------------