TSTP Solution File: SET202-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET202-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 03:00:17 EDT 2024
% Result : Unsatisfiable 157.25s 21.74s
% Output : CNFRefutation 157.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 8 unt; 4 nHn; 20 RR)
% Number of literals : 42 ( 3 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ subclass(cross_product(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property1_1) ).
cnf(c_71,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_72,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_73,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_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_84,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_85,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_20408,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_20745,plain,
( ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))) = not_subclass_element(cross_product(X0,X1),X2)
| subclass(cross_product(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_72,c_87]) ).
cnf(c_55122,plain,
ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))) = not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),
inference(superposition,[status(thm)],[c_20745,c_49]) ).
cnf(c_55315,plain,
( ~ member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))
| member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X1) ),
inference(superposition,[status(thm)],[c_55122,c_85]) ).
cnf(c_55316,plain,
( ~ member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))
| member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X0) ),
inference(superposition,[status(thm)],[c_55122,c_84]) ).
cnf(c_55329,plain,
( ~ member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X0)
| ~ member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X1)
| member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_55122,c_86]) ).
cnf(c_56330,plain,
( member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),y)
| subclass(cross_product(x,y),cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_72,c_55315]) ).
cnf(c_56336,plain,
member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),y),
inference(forward_subsumption_resolution,[status(thm)],[c_56330,c_49]) ).
cnf(c_56340,plain,
member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class),
inference(superposition,[status(thm)],[c_56336,c_20408]) ).
cnf(c_56352,plain,
( member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),x)
| subclass(cross_product(x,y),cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_72,c_55316]) ).
cnf(c_56358,plain,
member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),x),
inference(forward_subsumption_resolution,[status(thm)],[c_56352,c_49]) ).
cnf(c_56362,plain,
member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class),
inference(superposition,[status(thm)],[c_56358,c_20408]) ).
cnf(c_56790,plain,
( ~ member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class)
| ~ member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class)
| subclass(cross_product(x,y),cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_55329,c_73]) ).
cnf(c_56798,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_56790,c_49,c_56340,c_56362]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET202-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n012.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 20:21:40 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 157.25/21.74 % SZS status Started for theBenchmark.p
% 157.25/21.74 % SZS status Unsatisfiable for theBenchmark.p
% 157.25/21.74
% 157.25/21.74 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 157.25/21.74
% 157.25/21.74 ------ iProver source info
% 157.25/21.74
% 157.25/21.74 git: date: 2024-05-02 19:28:25 +0000
% 157.25/21.74 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 157.25/21.74 git: non_committed_changes: false
% 157.25/21.74
% 157.25/21.74 ------ Parsing...successful
% 157.25/21.74
% 157.25/21.74
% 157.25/21.74
% 157.25/21.74 ------ 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
% 157.25/21.74
% 157.25/21.74 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 157.25/21.74
% 157.25/21.74 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 157.25/21.74 ------ Proving...
% 157.25/21.74 ------ Problem Properties
% 157.25/21.74
% 157.25/21.74
% 157.25/21.74 clauses 101
% 157.25/21.74 conjectures 1
% 157.25/21.74 EPR 12
% 157.25/21.74 Horn 93
% 157.25/21.74 unary 40
% 157.25/21.74 binary 40
% 157.25/21.74 lits 189
% 157.25/21.74 lits eq 44
% 157.25/21.74 fd_pure 0
% 157.25/21.74 fd_pseudo 0
% 157.25/21.74 fd_cond 3
% 157.25/21.74 fd_pseudo_cond 7
% 157.25/21.74 AC symbols 0
% 157.25/21.74
% 157.25/21.74 ------ Input Options Time Limit: Unbounded
% 157.25/21.74
% 157.25/21.74
% 157.25/21.74 ------
% 157.25/21.74 Current options:
% 157.25/21.74 ------
% 157.25/21.74
% 157.25/21.74
% 157.25/21.74
% 157.25/21.74
% 157.25/21.74 ------ Proving...
% 157.25/21.74
% 157.25/21.74
% 157.25/21.74 % SZS status Unsatisfiable for theBenchmark.p
% 157.25/21.74
% 157.25/21.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 157.25/21.75
% 157.25/21.75
%------------------------------------------------------------------------------