TSTP Solution File: SET163-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET163-6 : 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 : Thu Aug 31 15:06:55 EDT 2023
% Result : Unsatisfiable 9.87s 2.17s
% Output : CNFRefutation 9.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of clauses : 50 ( 23 unt; 10 nHn; 28 RR)
% Number of literals : 83 ( 23 equ; 30 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 65 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
union(universal_class,x) != universal_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_with_universal_class_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_77,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_95,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_96,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(c_98,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(c_100,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_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_146,plain,
complement(domain_of(intersection(X0,identity_relation))) = diagonalise(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',diagonalisation) ).
cnf(c_4185,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_72,c_91]) ).
cnf(c_4259,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4260,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4265,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4260]) ).
cnf(c_4394,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4456,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4394]) ).
cnf(c_4564,plain,
( ~ member(X0,universal_class)
| member(X0,domain_of(intersection(X1,identity_relation)))
| member(X0,diagonalise(X1)) ),
inference(superposition,[status(thm)],[c_146,c_95]) ).
cnf(c_4846,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4456,c_4259]) ).
cnf(c_4891,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_4846,c_71]) ).
cnf(c_4901,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_4891]) ).
cnf(c_4904,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_4901]) ).
cnf(c_4905,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_4901,c_4265,c_4904]) ).
cnf(c_4907,plain,
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(demodulation,[status(thm)],[c_4891,c_4905]) ).
cnf(c_4908,plain,
subclass(null_class,X0),
inference(demodulation,[status(thm)],[c_4846,c_4905]) ).
cnf(c_4914,plain,
complement(intersection(null_class,complement(X0))) = union(universal_class,X0),
inference(superposition,[status(thm)],[c_4905,c_96]) ).
cnf(c_4918,plain,
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_4905,c_94]) ).
cnf(c_4927,plain,
~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_4907,c_4394,c_4907,c_4918]) ).
cnf(c_5018,plain,
( ~ subclass(universal_class,X0)
| X0 = universal_class ),
inference(superposition,[status(thm)],[c_74,c_77]) ).
cnf(c_5032,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(superposition,[status(thm)],[c_4908,c_77]) ).
cnf(c_6525,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4185,c_73]) ).
cnf(c_6750,plain,
subclass(restrict(X0,X1,X2),X0),
inference(superposition,[status(thm)],[c_98,c_6525]) ).
cnf(c_6767,plain,
intersection(null_class,X0) = null_class,
inference(superposition,[status(thm)],[c_6525,c_5032]) ).
cnf(c_6770,plain,
union(universal_class,X0) = complement(null_class),
inference(demodulation,[status(thm)],[c_4914,c_6767]) ).
cnf(c_6772,plain,
complement(null_class) != universal_class,
inference(demodulation,[status(thm)],[c_49,c_6770]) ).
cnf(c_6854,plain,
restrict(null_class,X0,X1) = null_class,
inference(superposition,[status(thm)],[c_6750,c_5032]) ).
cnf(c_6870,plain,
complement(domain_of(null_class)) = diagonalise(null_class),
inference(superposition,[status(thm)],[c_6767,c_146]) ).
cnf(c_7019,plain,
~ member(X0,domain_of(null_class)),
inference(superposition,[status(thm)],[c_6854,c_100]) ).
cnf(c_7067,plain,
domain_of(null_class) = null_class,
inference(superposition,[status(thm)],[c_136,c_7019]) ).
cnf(c_7254,plain,
complement(null_class) = diagonalise(null_class),
inference(light_normalisation,[status(thm)],[c_6870,c_7067]) ).
cnf(c_26304,plain,
( ~ member(X0,universal_class)
| member(X0,domain_of(null_class))
| member(X0,diagonalise(null_class)) ),
inference(superposition,[status(thm)],[c_6767,c_4564]) ).
cnf(c_26312,plain,
( ~ member(X0,universal_class)
| member(X0,complement(null_class))
| member(X0,null_class) ),
inference(light_normalisation,[status(thm)],[c_26304,c_7067,c_7254]) ).
cnf(c_26313,plain,
( ~ member(X0,universal_class)
| member(X0,complement(null_class)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26312,c_4927]) ).
cnf(c_26647,plain,
( ~ member(not_subclass_element(X0,complement(null_class)),universal_class)
| subclass(X0,complement(null_class)) ),
inference(superposition,[status(thm)],[c_26313,c_73]) ).
cnf(c_26667,plain,
subclass(X0,complement(null_class)),
inference(forward_subsumption_resolution,[status(thm)],[c_26647,c_4456]) ).
cnf(c_26671,plain,
complement(null_class) = universal_class,
inference(superposition,[status(thm)],[c_26667,c_5018]) ).
cnf(c_26672,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_26671,c_6772]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET163-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % 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 : Sat Aug 26 15:24:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.87/2.17 % SZS status Started for theBenchmark.p
% 9.87/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 9.87/2.17
% 9.87/2.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.87/2.17
% 9.87/2.17 ------ iProver source info
% 9.87/2.17
% 9.87/2.17 git: date: 2023-05-31 18:12:56 +0000
% 9.87/2.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.87/2.17 git: non_committed_changes: false
% 9.87/2.17 git: last_make_outside_of_git: false
% 9.87/2.17
% 9.87/2.17 ------ Parsing...successful
% 9.87/2.17
% 9.87/2.17
% 9.87/2.17
% 9.87/2.17 ------ 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
% 9.87/2.17
% 9.87/2.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.87/2.17
% 9.87/2.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.87/2.17 ------ Proving...
% 9.87/2.17 ------ Problem Properties
% 9.87/2.17
% 9.87/2.17
% 9.87/2.17 clauses 101
% 9.87/2.17 conjectures 1
% 9.87/2.17 EPR 12
% 9.87/2.17 Horn 93
% 9.87/2.17 unary 40
% 9.87/2.17 binary 40
% 9.87/2.17 lits 189
% 9.87/2.17 lits eq 45
% 9.87/2.17 fd_pure 0
% 9.87/2.17 fd_pseudo 0
% 9.87/2.17 fd_cond 3
% 9.87/2.17 fd_pseudo_cond 7
% 9.87/2.17 AC symbols 0
% 9.87/2.17
% 9.87/2.17 ------ Schedule dynamic 5 is on
% 9.87/2.17
% 9.87/2.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.87/2.17
% 9.87/2.17
% 9.87/2.17 ------
% 9.87/2.17 Current options:
% 9.87/2.17 ------
% 9.87/2.17
% 9.87/2.17
% 9.87/2.17
% 9.87/2.17
% 9.87/2.17 ------ Proving...
% 9.87/2.17
% 9.87/2.17
% 9.87/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 9.87/2.17
% 9.87/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.87/2.17
% 9.87/2.17
%------------------------------------------------------------------------------