TSTP Solution File: SET516-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET516-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 15:08:10 EDT 2023
% Result : Unsatisfiable 7.73s 1.66s
% Output : CNFRefutation 7.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 48 ( 20 unt; 12 nHn; 32 RR)
% Number of literals : 82 ( 32 equ; 25 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 : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
singleton(x) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_no_class_belongs_to_itself_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_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_78,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(c_79,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_81,plain,
member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(c_82,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_83,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(c_93,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_137,plain,
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(c_4114,plain,
member(singleton(X0),universal_class),
inference(superposition,[status(thm)],[c_82,c_81]) ).
cnf(c_4116,plain,
member(x,universal_class),
inference(superposition,[status(thm)],[c_49,c_4114]) ).
cnf(c_4174,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c_82,c_79]) ).
cnf(c_4187,plain,
( ~ member(x,universal_class)
| member(x,x) ),
inference(superposition,[status(thm)],[c_49,c_4174]) ).
cnf(c_4188,plain,
member(x,x),
inference(forward_subsumption_resolution,[status(thm)],[c_4187,c_4116]) ).
cnf(c_4366,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4367,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4384,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4367]) ).
cnf(c_4686,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4773,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4686]) ).
cnf(c_5355,plain,
unordered_pair(x,unordered_pair(x,singleton(X0))) = ordered_pair(x,X0),
inference(superposition,[status(thm)],[c_49,c_83]) ).
cnf(c_5357,plain,
unordered_pair(singleton(X0),unordered_pair(X0,x)) = ordered_pair(X0,x),
inference(superposition,[status(thm)],[c_49,c_83]) ).
cnf(c_5439,plain,
unordered_pair(x,unordered_pair(x,x)) = ordered_pair(x,x),
inference(superposition,[status(thm)],[c_49,c_5355]) ).
cnf(c_5445,plain,
ordered_pair(x,x) = x,
inference(demodulation,[status(thm)],[c_5439,c_49,c_82]) ).
cnf(c_5468,plain,
unordered_pair(singleton(x),singleton(x)) = ordered_pair(x,x),
inference(superposition,[status(thm)],[c_82,c_5357]) ).
cnf(c_5472,plain,
unordered_pair(x,x) = x,
inference(light_normalisation,[status(thm)],[c_5468,c_49,c_5445]) ).
cnf(c_5948,plain,
( ~ member(X0,ordered_pair(x,X1))
| unordered_pair(x,singleton(X1)) = X0
| X0 = x ),
inference(superposition,[status(thm)],[c_5355,c_78]) ).
cnf(c_6070,plain,
( ~ member(X0,x)
| unordered_pair(x,singleton(x)) = X0
| X0 = x ),
inference(superposition,[status(thm)],[c_5445,c_5948]) ).
cnf(c_6071,plain,
( ~ member(X0,x)
| X0 = x ),
inference(light_normalisation,[status(thm)],[c_6070,c_49,c_5472]) ).
cnf(c_6096,plain,
( regular(x) = x
| x = null_class ),
inference(superposition,[status(thm)],[c_136,c_6071]) ).
cnf(c_6129,plain,
( intersection(x,x) = null_class
| x = null_class ),
inference(superposition,[status(thm)],[c_6096,c_137]) ).
cnf(c_6332,plain,
( ~ member(X0,x)
| x = null_class
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_6129,c_93]) ).
cnf(c_12033,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4773,c_4366]) ).
cnf(c_12082,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_12033,c_71]) ).
cnf(c_12112,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_12082]) ).
cnf(c_12159,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_12112]) ).
cnf(c_12453,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_12112,c_4384,c_12159]) ).
cnf(c_12456,plain,
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(demodulation,[status(thm)],[c_12082,c_12453]) ).
cnf(c_12470,plain,
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_12453,c_94]) ).
cnf(c_12477,plain,
~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_12456,c_4686,c_12456,c_12470]) ).
cnf(c_17436,plain,
( x = null_class
| ~ member(X0,x) ),
inference(global_subsumption_just,[status(thm)],[c_6332,c_6332,c_12477]) ).
cnf(c_17437,plain,
( ~ member(X0,x)
| x = null_class ),
inference(renaming,[status(thm)],[c_17436]) ).
cnf(c_17446,plain,
x = null_class,
inference(superposition,[status(thm)],[c_4188,c_17437]) ).
cnf(c_17641,plain,
member(null_class,null_class),
inference(demodulation,[status(thm)],[c_4188,c_17446]) ).
cnf(c_17661,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_17641,c_12477]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET516-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 13:35:33 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.73/1.66 % SZS status Started for theBenchmark.p
% 7.73/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.66
% 7.73/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.73/1.66
% 7.73/1.66 ------ iProver source info
% 7.73/1.66
% 7.73/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.73/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.73/1.66 git: non_committed_changes: false
% 7.73/1.66 git: last_make_outside_of_git: false
% 7.73/1.66
% 7.73/1.66 ------ Parsing...successful
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 ------ 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
% 7.73/1.66
% 7.73/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.73/1.66
% 7.73/1.66 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.73/1.66 ------ Proving...
% 7.73/1.66 ------ Problem Properties
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 clauses 101
% 7.73/1.66 conjectures 1
% 7.73/1.66 EPR 12
% 7.73/1.66 Horn 93
% 7.73/1.66 unary 40
% 7.73/1.66 binary 40
% 7.73/1.66 lits 189
% 7.73/1.66 lits eq 45
% 7.73/1.66 fd_pure 0
% 7.73/1.66 fd_pseudo 0
% 7.73/1.66 fd_cond 3
% 7.73/1.66 fd_pseudo_cond 7
% 7.73/1.66 AC symbols 0
% 7.73/1.66
% 7.73/1.66 ------ Schedule dynamic 5 is on
% 7.73/1.66
% 7.73/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 ------
% 7.73/1.66 Current options:
% 7.73/1.66 ------
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 ------ Proving...
% 7.73/1.66
% 7.73/1.66
% 7.73/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.66
% 7.73/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.73/1.66
% 7.73/1.66
%------------------------------------------------------------------------------