TSTP Solution File: SET468-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET468-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 15:08:01 EDT 2023
% Result : Unsatisfiable 127.31s 26.11s
% Output : CNFRefutation 127.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 36 ( 16 unt; 7 nHn; 23 RR)
% Number of literals : 58 ( 14 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 56 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
x = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sets_with_one_member2_1) ).
cnf(c_50,negated_conjecture,
~ subclass(cross_product(x,x),identity_relation),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sets_with_one_member2_2) ).
cnf(c_72,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_73,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_74,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_75,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_78,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_86,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_88,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_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_95,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_99,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(c_101,plain,
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain1) ).
cnf(c_137,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_1053,plain,
~ subclass(cross_product(null_class,null_class),identity_relation),
inference(light_normalisation,[status(thm)],[c_50,c_49]) ).
cnf(c_4080,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_95]) ).
cnf(c_4081,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_137,c_95]) ).
cnf(c_4118,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_75,c_72]) ).
cnf(c_4132,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_4118]) ).
cnf(c_4141,plain,
( X0 = null_class
| member(regular(X0),universal_class) ),
inference(superposition,[status(thm)],[c_137,c_4118]) ).
cnf(c_4645,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4132,c_4080]) ).
cnf(c_4851,plain,
complement(universal_class) = null_class,
inference(superposition,[status(thm)],[c_4141,c_4081]) ).
cnf(c_4862,plain,
subclass(null_class,X0),
inference(demodulation,[status(thm)],[c_4645,c_4851]) ).
cnf(c_7157,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_92]) ).
cnf(c_7642,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_4862,c_78]) ).
cnf(c_8227,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_7157,c_74]) ).
cnf(c_8292,plain,
subclass(restrict(X0,X1,X2),X0),
inference(superposition,[status(thm)],[c_99,c_8227]) ).
cnf(c_8372,plain,
restrict(null_class,X0,X1) = null_class,
inference(superposition,[status(thm)],[c_8292,c_7642]) ).
cnf(c_8403,plain,
~ member(X0,domain_of(null_class)),
inference(superposition,[status(thm)],[c_8372,c_101]) ).
cnf(c_8479,plain,
domain_of(null_class) = null_class,
inference(superposition,[status(thm)],[c_137,c_8403]) ).
cnf(c_8485,plain,
~ member(X0,null_class),
inference(demodulation,[status(thm)],[c_8403,c_8479]) ).
cnf(c_46862,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_73,c_88]) ).
cnf(c_93226,plain,
ordered_pair(first(not_subclass_element(cross_product(null_class,null_class),identity_relation)),second(not_subclass_element(cross_product(null_class,null_class),identity_relation))) = not_subclass_element(cross_product(null_class,null_class),identity_relation),
inference(superposition,[status(thm)],[c_46862,c_1053]) ).
cnf(c_93390,plain,
( ~ member(not_subclass_element(cross_product(null_class,null_class),identity_relation),cross_product(X0,X1))
| member(second(not_subclass_element(cross_product(null_class,null_class),identity_relation)),X1) ),
inference(superposition,[status(thm)],[c_93226,c_86]) ).
cnf(c_98967,plain,
( member(second(not_subclass_element(cross_product(null_class,null_class),identity_relation)),null_class)
| subclass(cross_product(null_class,null_class),identity_relation) ),
inference(superposition,[status(thm)],[c_73,c_93390]) ).
cnf(c_98977,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_98967,c_1053,c_8485]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET468-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n022.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sat Aug 26 13:26:55 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 127.31/26.11 % SZS status Started for theBenchmark.p
% 127.31/26.11 % SZS status Unsatisfiable for theBenchmark.p
% 127.31/26.11
% 127.31/26.11 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 127.31/26.11
% 127.31/26.11 ------ iProver source info
% 127.31/26.11
% 127.31/26.11 git: date: 2023-05-31 18:12:56 +0000
% 127.31/26.11 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 127.31/26.11 git: non_committed_changes: false
% 127.31/26.11 git: last_make_outside_of_git: false
% 127.31/26.11
% 127.31/26.11 ------ Parsing...successful
% 127.31/26.11
% 127.31/26.11
% 127.31/26.11
% 127.31/26.11 ------ 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
% 127.31/26.11
% 127.31/26.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 127.31/26.11
% 127.31/26.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 127.31/26.11 ------ Proving...
% 127.31/26.11 ------ Problem Properties
% 127.31/26.11
% 127.31/26.11
% 127.31/26.11 clauses 102
% 127.31/26.11 conjectures 1
% 127.31/26.11 EPR 13
% 127.31/26.11 Horn 94
% 127.31/26.11 unary 41
% 127.31/26.11 binary 40
% 127.31/26.11 lits 190
% 127.31/26.11 lits eq 45
% 127.31/26.11 fd_pure 0
% 127.31/26.11 fd_pseudo 0
% 127.31/26.11 fd_cond 3
% 127.31/26.11 fd_pseudo_cond 7
% 127.31/26.11 AC symbols 0
% 127.31/26.11
% 127.31/26.11 ------ Input Options Time Limit: Unbounded
% 127.31/26.11
% 127.31/26.11
% 127.31/26.11 ------
% 127.31/26.11 Current options:
% 127.31/26.11 ------
% 127.31/26.11
% 127.31/26.11
% 127.31/26.11
% 127.31/26.11
% 127.31/26.11 ------ Proving...
% 127.31/26.11
% 127.31/26.11
% 127.31/26.11 % SZS status Unsatisfiable for theBenchmark.p
% 127.31/26.11
% 127.31/26.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 127.31/26.11
% 127.31/26.11
%------------------------------------------------------------------------------