TSTP Solution File: SET206-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET206-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 : Thu Aug 31 15:07:10 EDT 2023
% Result : Unsatisfiable 20.75s 3.73s
% Output : CNFRefutation 20.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 12 unt; 5 nHn; 24 RR)
% Number of literals : 65 ( 19 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
cross_product(null_class,y) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_with_null_class2_1) ).
cnf(c_71,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
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_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
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_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_2385,plain,
X0 = X0,
theory(equality) ).
cnf(c_2391,plain,
( X0 != X1
| X2 != X3
| ~ member(X1,X3)
| member(X0,X2) ),
theory(equality) ).
cnf(c_3470,plain,
( cross_product(null_class,y) = null_class
| member(regular(cross_product(null_class,y)),cross_product(null_class,y)) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_4646,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4647,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_5580,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_5628,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_5580]) ).
cnf(c_5636,plain,
( X0 = null_class
| member(regular(X0),universal_class) ),
inference(superposition,[status(thm)],[c_136,c_5580]) ).
cnf(c_5658,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_5628,c_4646]) ).
cnf(c_5679,plain,
complement(universal_class) = null_class,
inference(superposition,[status(thm)],[c_5636,c_4647]) ).
cnf(c_5690,plain,
subclass(null_class,X0),
inference(superposition,[status(thm)],[c_5679,c_5658]) ).
cnf(c_5771,plain,
cross_product(null_class,y) = cross_product(null_class,y),
inference(instantiation,[status(thm)],[c_2385]) ).
cnf(c_6079,plain,
( X0 != regular(cross_product(null_class,y))
| X1 != cross_product(null_class,y)
| ~ member(regular(cross_product(null_class,y)),cross_product(null_class,y))
| member(X0,X1) ),
inference(instantiation,[status(thm)],[c_2391]) ).
cnf(c_6211,plain,
member(regular(cross_product(null_class,y)),cross_product(null_class,y)),
inference(resolution,[status(thm)],[c_136,c_49]) ).
cnf(c_10470,plain,
ordered_pair(first(regular(cross_product(null_class,y))),second(regular(cross_product(null_class,y)))) = regular(cross_product(null_class,y)),
inference(resolution,[status(thm)],[c_87,c_6211]) ).
cnf(c_12607,plain,
( ordered_pair(first(regular(cross_product(null_class,y))),second(regular(cross_product(null_class,y)))) != regular(cross_product(null_class,y))
| X0 != cross_product(null_class,y)
| ~ member(regular(cross_product(null_class,y)),cross_product(null_class,y))
| member(ordered_pair(first(regular(cross_product(null_class,y))),second(regular(cross_product(null_class,y)))),X0) ),
inference(instantiation,[status(thm)],[c_6079]) ).
cnf(c_17061,plain,
( X0 != X1
| ~ member(X1,X2)
| member(X0,X2) ),
inference(resolution,[status(thm)],[c_2391,c_2385]) ).
cnf(c_18377,plain,
( ordered_pair(first(regular(cross_product(null_class,y))),second(regular(cross_product(null_class,y)))) != regular(cross_product(null_class,y))
| cross_product(null_class,y) != cross_product(null_class,y)
| ~ member(regular(cross_product(null_class,y)),cross_product(null_class,y))
| member(ordered_pair(first(regular(cross_product(null_class,y))),second(regular(cross_product(null_class,y)))),cross_product(null_class,y)) ),
inference(instantiation,[status(thm)],[c_12607]) ).
cnf(c_21514,plain,
( ~ member(ordered_pair(first(regular(cross_product(null_class,y))),second(regular(cross_product(null_class,y)))),cross_product(null_class,y))
| member(first(regular(cross_product(null_class,y))),null_class) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_27925,plain,
( ~ member(first(regular(cross_product(null_class,y))),null_class)
| ~ subclass(null_class,X0)
| member(first(regular(cross_product(null_class,y))),X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_58041,plain,
( ~ member(regular(cross_product(null_class,y)),X0)
| member(ordered_pair(first(regular(cross_product(null_class,y))),second(regular(cross_product(null_class,y)))),X0) ),
inference(resolution,[status(thm)],[c_17061,c_10470]) ).
cnf(c_64887,plain,
( ~ member(regular(cross_product(null_class,y)),cross_product(X0,X1))
| member(first(regular(cross_product(null_class,y))),X0) ),
inference(resolution,[status(thm)],[c_58041,c_84]) ).
cnf(c_65415,plain,
member(first(regular(cross_product(null_class,y))),X0),
inference(global_subsumption_just,[status(thm)],[c_64887,c_49,c_3470,c_5690,c_5771,c_10470,c_18377,c_21514,c_27925]) ).
cnf(c_65429,plain,
~ member(first(regular(cross_product(null_class,y))),X0),
inference(resolution,[status(thm)],[c_65415,c_94]) ).
cnf(c_65430,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_65429,c_27925,c_21514,c_18377,c_10470,c_5771,c_5690,c_3470,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET206-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 12:10:02 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.75/3.73 % SZS status Started for theBenchmark.p
% 20.75/3.73 % SZS status Unsatisfiable for theBenchmark.p
% 20.75/3.73
% 20.75/3.73 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.75/3.73
% 20.75/3.73 ------ iProver source info
% 20.75/3.73
% 20.75/3.73 git: date: 2023-05-31 18:12:56 +0000
% 20.75/3.73 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.75/3.73 git: non_committed_changes: false
% 20.75/3.73 git: last_make_outside_of_git: false
% 20.75/3.73
% 20.75/3.73 ------ Parsing...successful
% 20.75/3.73
% 20.75/3.73
% 20.75/3.73
% 20.75/3.73 ------ 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
% 20.75/3.73
% 20.75/3.73 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.75/3.73
% 20.75/3.73 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.75/3.73 ------ Proving...
% 20.75/3.73 ------ Problem Properties
% 20.75/3.73
% 20.75/3.73
% 20.75/3.73 clauses 101
% 20.75/3.73 conjectures 1
% 20.75/3.73 EPR 12
% 20.75/3.73 Horn 93
% 20.75/3.73 unary 40
% 20.75/3.73 binary 40
% 20.75/3.73 lits 189
% 20.75/3.73 lits eq 45
% 20.75/3.73 fd_pure 0
% 20.75/3.73 fd_pseudo 0
% 20.75/3.73 fd_cond 3
% 20.75/3.73 fd_pseudo_cond 7
% 20.75/3.73 AC symbols 0
% 20.75/3.73
% 20.75/3.73 ------ Input Options Time Limit: Unbounded
% 20.75/3.73
% 20.75/3.73
% 20.75/3.73 ------
% 20.75/3.73 Current options:
% 20.75/3.73 ------
% 20.75/3.73
% 20.75/3.73
% 20.75/3.73
% 20.75/3.73
% 20.75/3.73 ------ Proving...
% 20.75/3.73
% 20.75/3.73
% 20.75/3.73 % SZS status Unsatisfiable for theBenchmark.p
% 20.75/3.73
% 20.75/3.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.75/3.73
% 20.75/3.73
%------------------------------------------------------------------------------