TSTP Solution File: SET232-6 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET232-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 03:00:20 EDT 2024

% Result   : Unsatisfiable 7.81s 1.73s
% Output   : CNFRefutation 7.81s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ subclass(cross_product(x,y),z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property7_1) ).

cnf(c_50,negated_conjecture,
    ~ member(first(not_subclass_element(cross_product(x,y),z)),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property7_2) ).

cnf(c_73,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_85,plain,
    ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).

cnf(c_88,plain,
    ( ~ member(X0,cross_product(X1,X2))
    | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).

cnf(c_3035,plain,
    cross_product(x,y) = sP0_iProver_def,
    definition ).

cnf(c_3036,plain,
    not_subclass_element(sP0_iProver_def,z) = sP1_iProver_def,
    definition ).

cnf(c_3037,plain,
    first(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_3038,negated_conjecture,
    ~ member(sP2_iProver_def,x),
    inference(demodulation,[status(thm)],[c_50,c_3035,c_3036,c_3037]) ).

cnf(c_3039,negated_conjecture,
    ~ subclass(sP0_iProver_def,z),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_4160,plain,
    ( subclass(sP0_iProver_def,z)
    | member(sP1_iProver_def,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_3036,c_73]) ).

cnf(c_4161,plain,
    member(sP1_iProver_def,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_4160,c_3039]) ).

cnf(c_4538,plain,
    ( ~ member(ordered_pair(X0,X1),sP0_iProver_def)
    | member(X0,x) ),
    inference(superposition,[status(thm)],[c_3035,c_85]) ).

cnf(c_5791,plain,
    ( ~ member(X0,sP0_iProver_def)
    | ordered_pair(first(X0),second(X0)) = X0 ),
    inference(superposition,[status(thm)],[c_3035,c_88]) ).

cnf(c_13542,plain,
    ordered_pair(first(sP1_iProver_def),second(sP1_iProver_def)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_4161,c_5791]) ).

cnf(c_13547,plain,
    ordered_pair(sP2_iProver_def,second(sP1_iProver_def)) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_13542,c_3037]) ).

cnf(c_13666,plain,
    ( ~ member(sP1_iProver_def,sP0_iProver_def)
    | member(sP2_iProver_def,x) ),
    inference(superposition,[status(thm)],[c_13547,c_4538]) ).

cnf(c_13673,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_13666,c_3038,c_4161]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET232-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n008.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 20:25:58 EDT 2024
% 0.13/0.34  % 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
% 7.81/1.73  % SZS status Started for theBenchmark.p
% 7.81/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.81/1.73  
% 7.81/1.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.81/1.73  
% 7.81/1.73  ------  iProver source info
% 7.81/1.73  
% 7.81/1.73  git: date: 2024-05-02 19:28:25 +0000
% 7.81/1.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.81/1.73  git: non_committed_changes: false
% 7.81/1.73  
% 7.81/1.73  ------ Parsing...successful
% 7.81/1.73  
% 7.81/1.73  
% 7.81/1.73  
% 7.81/1.73  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 7.81/1.73  
% 7.81/1.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.81/1.73  
% 7.81/1.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.81/1.73  ------ Proving...
% 7.81/1.73  ------ Problem Properties 
% 7.81/1.73  
% 7.81/1.73  
% 7.81/1.73  clauses                                 105
% 7.81/1.73  conjectures                             2
% 7.81/1.73  EPR                                     14
% 7.81/1.73  Horn                                    97
% 7.81/1.73  unary                                   44
% 7.81/1.73  binary                                  40
% 7.81/1.73  lits                                    193
% 7.81/1.73  lits eq                                 47
% 7.81/1.73  fd_pure                                 0
% 7.81/1.73  fd_pseudo                               0
% 7.81/1.73  fd_cond                                 3
% 7.81/1.73  fd_pseudo_cond                          7
% 7.81/1.73  AC symbols                              0
% 7.81/1.73  
% 7.81/1.73  ------ Schedule dynamic 5 is on 
% 7.81/1.73  
% 7.81/1.73  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.81/1.73  
% 7.81/1.73  
% 7.81/1.73  ------ 
% 7.81/1.73  Current options:
% 7.81/1.73  ------ 
% 7.81/1.73  
% 7.81/1.73  
% 7.81/1.73  
% 7.81/1.73  
% 7.81/1.73  ------ Proving...
% 7.81/1.73  
% 7.81/1.73  
% 7.81/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.81/1.73  
% 7.81/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.81/1.73  
% 7.81/1.73  
%------------------------------------------------------------------------------