TSTP Solution File: SET231-6 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET231-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 14:34:11 EDT 2024

% Result   : Unsatisfiable 4.14s 1.18s
% Output   : CNFRefutation 4.14s
% 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/sandbox/benchmark/theBenchmark.p',prove_cross_product_property6_1) ).

cnf(c_50,negated_conjecture,
    ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property6_2) ).

cnf(c_73,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_88,plain,
    ( ~ member(X0,cross_product(X1,X2))
    | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox/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,plain,
    second(sP1_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_3039,plain,
    ordered_pair(sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_3040,negated_conjecture,
    sP4_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_3038,c_3035,c_3036,c_3037,c_3039]) ).

cnf(c_3041,negated_conjecture,
    ~ subclass(sP0_iProver_def,z),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_4216,plain,
    ( subclass(sP0_iProver_def,z)
    | member(sP1_iProver_def,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_3036,c_73]) ).

cnf(c_4330,plain,
    ( subclass(sP0_iProver_def,z)
    | member(sP1_iProver_def,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_3036,c_73]) ).

cnf(c_4380,plain,
    ( ~ member(X0,sP0_iProver_def)
    | ordered_pair(first(X0),second(X0)) = X0 ),
    inference(superposition,[status(thm)],[c_3035,c_88]) ).

cnf(c_4404,plain,
    member(sP1_iProver_def,sP0_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_4330,c_3041,c_4216]) ).

cnf(c_4468,plain,
    ordered_pair(first(sP1_iProver_def),second(sP1_iProver_def)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_4404,c_4380]) ).

cnf(c_4665,plain,
    sP1_iProver_def = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_4468,c_3037,c_3038,c_3039]) ).

cnf(c_4671,plain,
    $false,
    inference(superposition,[status(thm)],[c_4665,c_3040]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET231-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n029.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 13:16:09 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 4.14/1.18  % SZS status Started for theBenchmark.p
% 4.14/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.18  
% 4.14/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.14/1.18  
% 4.14/1.18  ------  iProver source info
% 4.14/1.18  
% 4.14/1.18  git: date: 2024-06-12 09:56:46 +0000
% 4.14/1.18  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.14/1.18  git: non_committed_changes: false
% 4.14/1.18  
% 4.14/1.18  ------ Parsing...successful
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  ------ 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 
% 4.14/1.18  
% 4.14/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.14/1.18  
% 4.14/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.14/1.18  ------ Proving...
% 4.14/1.18  ------ Problem Properties 
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  clauses                                 107
% 4.14/1.18  conjectures                             2
% 4.14/1.18  EPR                                     14
% 4.14/1.18  Horn                                    99
% 4.14/1.18  unary                                   46
% 4.14/1.18  binary                                  40
% 4.14/1.18  lits                                    195
% 4.14/1.18  lits eq                                 50
% 4.14/1.18  fd_pure                                 0
% 4.14/1.18  fd_pseudo                               0
% 4.14/1.18  fd_cond                                 3
% 4.14/1.18  fd_pseudo_cond                          7
% 4.14/1.18  AC symbols                              0
% 4.14/1.18  
% 4.14/1.18  ------ Input Options Time Limit: Unbounded
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  ------ 
% 4.14/1.18  Current options:
% 4.14/1.18  ------ 
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  ------ Proving...
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  ------ Proving...
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  ------ Proving...
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  ------ Proving...
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  ------ Proving...
% 4.14/1.18  
% 4.14/1.18  
% 4.14/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.18  
% 4.14/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.14/1.18  
% 4.14/1.18  
%------------------------------------------------------------------------------