TSTP Solution File: SET075-6 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 02:59:43 EDT 2024

% Result   : Unsatisfiable 7.45s 1.67s
% Output   : CNFRefutation 7.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(ordered_pair(x,y),cross_product(u,v)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).

cnf(c_50,negated_conjecture,
    unordered_pair(x,y) = null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).

cnf(c_51,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_54,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

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_64,plain,
    ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
    | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).

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_2693,plain,
    unordered_pair(x,y) = sP0_iProver_def,
    definition ).

cnf(c_2694,plain,
    ordered_pair(x,y) = sP1_iProver_def,
    definition ).

cnf(c_2695,plain,
    cross_product(u,v) = sP2_iProver_def,
    definition ).

cnf(c_2696,negated_conjecture,
    sP0_iProver_def = null_class,
    inference(demodulation,[status(thm)],[c_50,c_2693]) ).

cnf(c_2697,negated_conjecture,
    member(sP1_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_2695,c_2694]) ).

cnf(c_3702,plain,
    ( X0 = sP0_iProver_def
    | member(regular(X0),X0) ),
    inference(light_normalisation,[status(thm)],[c_116,c_2696]) ).

cnf(c_3716,plain,
    ( ~ member(x,universal_class)
    | member(x,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_2693,c_59]) ).

cnf(c_3759,plain,
    ( intersection(X0,X1) = sP0_iProver_def
    | member(regular(intersection(X0,X1)),X0) ),
    inference(superposition,[status(thm)],[c_3702,c_71]) ).

cnf(c_3779,plain,
    ( intersection(X0,X1) = sP0_iProver_def
    | member(regular(intersection(X0,X1)),X1) ),
    inference(superposition,[status(thm)],[c_3702,c_72]) ).

cnf(c_3847,plain,
    ( ~ member(regular(intersection(complement(X0),X1)),X0)
    | intersection(complement(X0),X1) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_3759,c_74]) ).

cnf(c_3910,plain,
    intersection(complement(X0),X0) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_3779,c_3847]) ).

cnf(c_4001,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_3910,c_72]) ).

cnf(c_4002,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_3910,c_71]) ).

cnf(c_4029,plain,
    ~ member(X0,sP0_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_4001,c_74,c_4001,c_4002]) ).

cnf(c_4033,plain,
    ~ member(x,universal_class),
    inference(backward_subsumption_resolution,[status(thm)],[c_3716,c_4029]) ).

cnf(c_4759,plain,
    ( ~ member(sP1_iProver_def,cross_product(X0,X1))
    | member(x,X0) ),
    inference(superposition,[status(thm)],[c_2694,c_64]) ).

cnf(c_12089,plain,
    ( ~ member(sP1_iProver_def,sP2_iProver_def)
    | member(x,u) ),
    inference(superposition,[status(thm)],[c_2695,c_4759]) ).

cnf(c_12090,plain,
    member(x,u),
    inference(forward_subsumption_resolution,[status(thm)],[c_12089,c_2697]) ).

cnf(c_12091,plain,
    ( ~ subclass(u,X0)
    | member(x,X0) ),
    inference(superposition,[status(thm)],[c_12090,c_51]) ).

cnf(c_12099,plain,
    member(x,universal_class),
    inference(superposition,[status(thm)],[c_54,c_12091]) ).

cnf(c_12102,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12099,c_4033]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 20:42:31 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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
% 7.45/1.67  % SZS status Started for theBenchmark.p
% 7.45/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.45/1.67  
% 7.45/1.67  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.45/1.67  
% 7.45/1.67  ------  iProver source info
% 7.45/1.67  
% 7.45/1.67  git: date: 2024-05-02 19:28:25 +0000
% 7.45/1.67  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.45/1.67  git: non_committed_changes: false
% 7.45/1.67  
% 7.45/1.67  ------ Parsing...successful
% 7.45/1.67  
% 7.45/1.67  
% 7.45/1.67  
% 7.45/1.67  ------ 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 
% 7.45/1.67  
% 7.45/1.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.45/1.67  
% 7.45/1.67  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.45/1.67  ------ Proving...
% 7.45/1.67  ------ Problem Properties 
% 7.45/1.67  
% 7.45/1.67  
% 7.45/1.67  clauses                                 88
% 7.45/1.67  conjectures                             2
% 7.45/1.67  EPR                                     14
% 7.45/1.67  Horn                                    80
% 7.45/1.67  unary                                   36
% 7.45/1.67  binary                                  32
% 7.45/1.67  lits                                    166
% 7.45/1.67  lits eq                                 40
% 7.45/1.67  fd_pure                                 0
% 7.45/1.67  fd_pseudo                               0
% 7.45/1.67  fd_cond                                 3
% 7.45/1.67  fd_pseudo_cond                          3
% 7.45/1.67  AC symbols                              0
% 7.45/1.67  
% 7.45/1.67  ------ Schedule dynamic 5 is on 
% 7.45/1.67  
% 7.45/1.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.45/1.67  
% 7.45/1.67  
% 7.45/1.67  ------ 
% 7.45/1.67  Current options:
% 7.45/1.67  ------ 
% 7.45/1.67  
% 7.45/1.67  
% 7.45/1.67  
% 7.45/1.67  
% 7.45/1.67  ------ Proving...
% 7.45/1.67  
% 7.45/1.67  
% 7.45/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.45/1.67  
% 7.45/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.45/1.67  
% 7.45/1.67  
%------------------------------------------------------------------------------