TSTP Solution File: SET382-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET382-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 14:34:29 EDT 2024

% Result   : Unsatisfiable 0.49s 1.16s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    subclass(x,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_relation_property2_1) ).

cnf(c_50,negated_conjecture,
    restrict(x,universal_class,universal_class) != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_relation_property2_2) ).

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

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_74,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_78,plain,
    ( ~ subclass(X0,X1)
    | ~ subclass(X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(c_92,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_94,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,X2)
    | member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).

cnf(c_99,plain,
    intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).

cnf(c_3035,plain,
    restrict(x,universal_class,universal_class) = sP0_iProver_def,
    definition ).

cnf(c_3036,plain,
    cross_product(universal_class,universal_class) = sP1_iProver_def,
    definition ).

cnf(c_3037,negated_conjecture,
    sP0_iProver_def != x,
    inference(demodulation,[status(thm)],[c_50,c_3035]) ).

cnf(c_3038,negated_conjecture,
    subclass(x,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_3036]) ).

cnf(c_4414,plain,
    ( ~ member(X0,x)
    | member(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_3038,c_72]) ).

cnf(c_4722,plain,
    restrict(X0,universal_class,universal_class) = intersection(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_3036,c_99]) ).

cnf(c_4730,plain,
    intersection(x,sP1_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_3035,c_4722]) ).

cnf(c_4783,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,x) ),
    inference(superposition,[status(thm)],[c_4730,c_92]) ).

cnf(c_4814,plain,
    ( member(not_subclass_element(sP0_iProver_def,X0),x)
    | subclass(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_73,c_4783]) ).

cnf(c_4995,plain,
    subclass(sP0_iProver_def,x),
    inference(superposition,[status(thm)],[c_4814,c_74]) ).

cnf(c_4998,plain,
    ( ~ subclass(x,sP0_iProver_def)
    | x = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_4995,c_78]) ).

cnf(c_5146,plain,
    ( ~ member(X0,x)
    | ~ member(X0,sP1_iProver_def)
    | member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_4730,c_94]) ).

cnf(c_5199,plain,
    ( ~ subclass(x,sP0_iProver_def)
    | ~ subclass(sP0_iProver_def,x)
    | sP0_iProver_def = x ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_5304,plain,
    ~ subclass(x,sP0_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_4998,c_3037,c_4995,c_5199]) ).

cnf(c_7915,plain,
    ( ~ member(X0,x)
    | member(X0,sP0_iProver_def) ),
    inference(global_subsumption_just,[status(thm)],[c_5146,c_4414,c_5146]) ).

cnf(c_7922,plain,
    ( member(not_subclass_element(x,X0),sP0_iProver_def)
    | subclass(x,X0) ),
    inference(superposition,[status(thm)],[c_73,c_7915]) ).

cnf(c_7967,plain,
    subclass(x,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_7922,c_74]) ).

cnf(c_7972,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7967,c_5304]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET382-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n021.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 : Sun Jun 23 17:17:39 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 0.49/1.16  % SZS status Started for theBenchmark.p
% 0.49/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.16  
% 0.49/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.16  
% 0.49/1.16  ------  iProver source info
% 0.49/1.16  
% 0.49/1.16  git: date: 2024-06-12 09:56:46 +0000
% 0.49/1.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.49/1.16  git: non_committed_changes: false
% 0.49/1.16  
% 0.49/1.16  ------ Parsing...successful
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  ------ 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 
% 0.49/1.16  
% 0.49/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.49/1.16  
% 0.49/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.49/1.16  ------ Proving...
% 0.49/1.16  ------ Problem Properties 
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  clauses                                 104
% 0.49/1.16  conjectures                             2
% 0.49/1.16  EPR                                     14
% 0.49/1.16  Horn                                    96
% 0.49/1.16  unary                                   43
% 0.49/1.16  binary                                  40
% 0.49/1.16  lits                                    192
% 0.49/1.16  lits eq                                 47
% 0.49/1.16  fd_pure                                 0
% 0.49/1.16  fd_pseudo                               0
% 0.49/1.16  fd_cond                                 3
% 0.49/1.16  fd_pseudo_cond                          7
% 0.49/1.16  AC symbols                              0
% 0.49/1.16  
% 0.49/1.16  ------ Schedule dynamic 5 is on 
% 0.49/1.16  
% 0.49/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  ------ 
% 0.49/1.16  Current options:
% 0.49/1.16  ------ 
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  ------ Proving...
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.16  
% 0.49/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.16  
% 0.49/1.16  
%------------------------------------------------------------------------------