TSTP Solution File: SET222-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET222-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 03:00:19 EDT 2024

% Result   : Unsatisfiable 235.29s 31.81s
% Output   : CNFRefutation 235.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (  10 unt;   9 nHn;  21 RR)
%            Number of literals    :   55 (   7 equ;  19 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   68 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ subclass(intersection(cross_product(w,x),cross_product(y,z)),cross_product(w,z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property4_1) ).

cnf(c_72,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_73,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_84,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_85,plain,
    ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
    | member(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).

cnf(c_86,plain,
    ( ~ member(X0,X1)
    | ~ member(X2,X3)
    | member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).

cnf(c_87,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_91,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_92,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(c_98,plain,
    intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).

cnf(c_99,plain,
    intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction2) ).

cnf(c_1049,plain,
    ~ subclass(restrict(cross_product(y,z),w,x),cross_product(w,z)),
    inference(demodulation,[status(thm)],[c_49,c_99]) ).

cnf(c_3655,plain,
    restrict(cross_product(X0,X1),X2,X3) = restrict(cross_product(X2,X3),X0,X1),
    inference(superposition,[status(thm)],[c_99,c_98]) ).

cnf(c_64116,plain,
    ~ subclass(restrict(cross_product(w,x),y,z),cross_product(w,z)),
    inference(demodulation,[status(thm)],[c_1049,c_3655]) ).

cnf(c_64138,plain,
    ( member(not_subclass_element(intersection(X0,X1),X2),X1)
    | subclass(intersection(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_72,c_92]) ).

cnf(c_64290,plain,
    ( ~ member(X0,restrict(X1,X2,X3))
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_98,c_91]) ).

cnf(c_64311,plain,
    ( member(not_subclass_element(restrict(X0,X1,X2),X3),X0)
    | subclass(restrict(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_72,c_64290]) ).

cnf(c_65192,plain,
    ( member(not_subclass_element(restrict(X0,X1,X2),X3),cross_product(X1,X2))
    | subclass(intersection(X0,cross_product(X1,X2)),X3) ),
    inference(superposition,[status(thm)],[c_98,c_64138]) ).

cnf(c_65201,plain,
    ( ordered_pair(first(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3)),second(not_subclass_element(intersection(X0,cross_product(X1,X2)),X3))) = not_subclass_element(intersection(X0,cross_product(X1,X2)),X3)
    | subclass(intersection(X0,cross_product(X1,X2)),X3) ),
    inference(superposition,[status(thm)],[c_64138,c_87]) ).

cnf(c_65223,plain,
    ( member(not_subclass_element(restrict(X0,X1,X2),X3),cross_product(X1,X2))
    | subclass(restrict(X0,X1,X2),X3) ),
    inference(demodulation,[status(thm)],[c_65192,c_98]) ).

cnf(c_65226,plain,
    ( ordered_pair(first(not_subclass_element(restrict(X0,X1,X2),X3)),second(not_subclass_element(restrict(X0,X1,X2),X3))) = not_subclass_element(restrict(X0,X1,X2),X3)
    | subclass(restrict(X0,X1,X2),X3) ),
    inference(demodulation,[status(thm)],[c_65201,c_98]) ).

cnf(c_116335,plain,
    ordered_pair(first(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),second(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z)))) = not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z)),
    inference(superposition,[status(thm)],[c_65226,c_64116]) ).

cnf(c_117848,plain,
    ( ~ member(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z)),cross_product(X0,X1))
    | member(second(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),X1) ),
    inference(superposition,[status(thm)],[c_116335,c_85]) ).

cnf(c_117852,plain,
    ( ~ member(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z)),cross_product(X0,X1))
    | member(first(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),X0) ),
    inference(superposition,[status(thm)],[c_116335,c_84]) ).

cnf(c_117866,plain,
    ( ~ member(first(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),X0)
    | ~ member(second(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),X1)
    | member(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z)),cross_product(X0,X1)) ),
    inference(superposition,[status(thm)],[c_116335,c_86]) ).

cnf(c_121444,plain,
    ( member(first(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),w)
    | subclass(restrict(cross_product(w,x),y,z),cross_product(w,z)) ),
    inference(superposition,[status(thm)],[c_64311,c_117852]) ).

cnf(c_121447,plain,
    member(first(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),w),
    inference(forward_subsumption_resolution,[status(thm)],[c_121444,c_64116]) ).

cnf(c_122561,plain,
    ( ~ member(first(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),w)
    | ~ member(second(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),z)
    | subclass(restrict(cross_product(w,x),y,z),cross_product(w,z)) ),
    inference(superposition,[status(thm)],[c_117866,c_73]) ).

cnf(c_122576,plain,
    ~ member(second(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),z),
    inference(forward_subsumption_resolution,[status(thm)],[c_122561,c_64116,c_121447]) ).

cnf(c_162564,plain,
    ( member(second(not_subclass_element(restrict(cross_product(w,x),y,z),cross_product(w,z))),z)
    | subclass(restrict(cross_product(w,x),y,z),cross_product(w,z)) ),
    inference(superposition,[status(thm)],[c_65223,c_117848]) ).

cnf(c_162568,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_162564,c_64116,c_122576]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET222-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 20:53:50 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.48  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
% 235.29/31.81  % SZS status Started for theBenchmark.p
% 235.29/31.81  % SZS status Unsatisfiable for theBenchmark.p
% 235.29/31.81  
% 235.29/31.81  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 235.29/31.81  
% 235.29/31.81  ------  iProver source info
% 235.29/31.81  
% 235.29/31.81  git: date: 2024-05-02 19:28:25 +0000
% 235.29/31.81  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 235.29/31.81  git: non_committed_changes: false
% 235.29/31.81  
% 235.29/31.81  ------ Parsing...successful
% 235.29/31.81  
% 235.29/31.81  
% 235.29/31.81  
% 235.29/31.81  ------ Preprocessing... sup_sim: 3  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 
% 235.29/31.81  
% 235.29/31.81  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 235.29/31.81  
% 235.29/31.81  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 235.29/31.81  ------ Proving...
% 235.29/31.81  ------ Problem Properties 
% 235.29/31.81  
% 235.29/31.81  
% 235.29/31.81  clauses                                 101
% 235.29/31.81  conjectures                             0
% 235.29/31.81  EPR                                     12
% 235.29/31.81  Horn                                    93
% 235.29/31.81  unary                                   40
% 235.29/31.81  binary                                  40
% 235.29/31.81  lits                                    189
% 235.29/31.81  lits eq                                 44
% 235.29/31.81  fd_pure                                 0
% 235.29/31.81  fd_pseudo                               0
% 235.29/31.81  fd_cond                                 3
% 235.29/31.81  fd_pseudo_cond                          7
% 235.29/31.81  AC symbols                              0
% 235.29/31.81  
% 235.29/31.81  ------ Input Options Time Limit: Unbounded
% 235.29/31.81  
% 235.29/31.81  
% 235.29/31.81  ------ 
% 235.29/31.81  Current options:
% 235.29/31.81  ------ 
% 235.29/31.81  
% 235.29/31.81  
% 235.29/31.81  
% 235.29/31.81  
% 235.29/31.81  ------ Proving...
% 235.29/31.81  
% 235.29/31.81  
% 235.29/31.81  % SZS status Unsatisfiable for theBenchmark.p
% 235.29/31.81  
% 235.29/31.81  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 235.29/31.81  
% 235.29/31.81  
%------------------------------------------------------------------------------