TSTP Solution File: SET067-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET067-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 02:59:40 EDT 2024

% Result   : Unsatisfiable 4.45s 1.17s
% Output   : CNFRefutation 4.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_66,negated_conjecture,
    ~ subclass(singleton(x),unordered_pair(x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1) ).

cnf(c_67,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_68,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_69,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_70,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_74,plain,
    ( ~ member(X0,unordered_pair(X1,X2))
    | X0 = X1
    | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

cnf(c_75,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(c_78,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_2963,plain,
    singleton(x) = sP0_iProver_def,
    definition ).

cnf(c_2964,plain,
    unordered_pair(x,y) = sP1_iProver_def,
    definition ).

cnf(c_2965,negated_conjecture,
    ~ subclass(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_66,c_2964,c_2963]) ).

cnf(c_4130,plain,
    ( ~ member(x,universal_class)
    | member(x,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_2964,c_75]) ).

cnf(c_4508,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_70,c_67]) ).

cnf(c_4599,plain,
    ( member(not_subclass_element(X0,X1),universal_class)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_68,c_4508]) ).

cnf(c_6020,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_78,c_74]) ).

cnf(c_6228,plain,
    ( ~ member(X0,sP0_iProver_def)
    | X0 = x ),
    inference(superposition,[status(thm)],[c_2963,c_6020]) ).

cnf(c_6279,plain,
    ( not_subclass_element(sP0_iProver_def,X0) = x
    | subclass(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_68,c_6228]) ).

cnf(c_6319,plain,
    not_subclass_element(sP0_iProver_def,sP1_iProver_def) = x,
    inference(superposition,[status(thm)],[c_6279,c_2965]) ).

cnf(c_6357,plain,
    ( member(x,universal_class)
    | subclass(sP0_iProver_def,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_6319,c_4599]) ).

cnf(c_6358,plain,
    ( ~ member(x,sP1_iProver_def)
    | subclass(sP0_iProver_def,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_6319,c_69]) ).

cnf(c_6362,plain,
    member(x,universal_class),
    inference(forward_subsumption_resolution,[status(thm)],[c_6357,c_2965]) ).

cnf(c_6363,plain,
    ~ member(x,sP1_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_6358,c_2965]) ).

cnf(c_6364,plain,
    member(x,sP1_iProver_def),
    inference(backward_subsumption_resolution,[status(thm)],[c_4130,c_6362]) ).

cnf(c_6365,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6364,c_6363]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET067-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n011.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 20:19:48 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 4.45/1.17  % SZS status Started for theBenchmark.p
% 4.45/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.45/1.17  
% 4.45/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.45/1.17  
% 4.45/1.17  ------  iProver source info
% 4.45/1.17  
% 4.45/1.17  git: date: 2024-05-02 19:28:25 +0000
% 4.45/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.45/1.17  git: non_committed_changes: false
% 4.45/1.17  
% 4.45/1.17  ------ Parsing...successful
% 4.45/1.17  
% 4.45/1.17  
% 4.45/1.17  
% 4.45/1.17  ------ 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 
% 4.45/1.17  
% 4.45/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.45/1.17  
% 4.45/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.45/1.17  ------ Proving...
% 4.45/1.17  ------ Problem Properties 
% 4.45/1.17  
% 4.45/1.17  
% 4.45/1.17  clauses                                 101
% 4.45/1.17  conjectures                             1
% 4.45/1.17  EPR                                     18
% 4.45/1.17  Horn                                    90
% 4.45/1.17  unary                                   39
% 4.45/1.17  binary                                  38
% 4.45/1.17  lits                                    193
% 4.45/1.17  lits eq                                 44
% 4.45/1.17  fd_pure                                 0
% 4.45/1.17  fd_pseudo                               0
% 4.45/1.17  fd_cond                                 5
% 4.45/1.17  fd_pseudo_cond                          6
% 4.45/1.17  AC symbols                              0
% 4.45/1.17  
% 4.45/1.17  ------ Schedule dynamic 5 is on 
% 4.45/1.17  
% 4.45/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.45/1.17  
% 4.45/1.17  
% 4.45/1.17  ------ 
% 4.45/1.17  Current options:
% 4.45/1.17  ------ 
% 4.45/1.17  
% 4.45/1.17  
% 4.45/1.17  
% 4.45/1.17  
% 4.45/1.17  ------ Proving...
% 4.45/1.17  
% 4.45/1.17  
% 4.45/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.45/1.17  
% 4.45/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.45/1.17  
% 4.45/1.17  
%------------------------------------------------------------------------------