%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET123-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : 600s
% DateTime : Tue Jul 19 05:07:40 EDT 2022
% Result : Unsatisfiable 0.86s 1.04s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 15 unt; 2 nHn; 14 RR)
% Number of literals : 29 ( 7 equ; 12 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 : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(unordered_pair_member,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(intersection3,axiom,
( ~ member(X,Y)
| ~ member(X,Z)
| member(X,intersection(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(complement2,axiom,
( ~ member(X,universal_class)
| member(X,complement(Y))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(union,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
cnf(definition_of_set_builder,axiom,
union(singleton(X),Y) = set_builder(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).
cnf(104,plain,
complement(intersection(complement(singleton(X)),complement(Y))) = set_builder(X,Y),
inference('REWRITE',[status(thm)],[definition_of_set_builder,union,theory(equality)]) ).
cnf(prove_set_builder_alternate_defn1_1,negated_conjecture,
member(x,set_builder(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_1) ).
cnf(106,plain,
member(x,complement(intersection(complement(singleton(y)),complement(z)))),
inference('REWRITE',[status(thm)],[prove_set_builder_alternate_defn1_1,104,theory(equality)]) ).
cnf(prove_set_builder_alternate_defn1_2,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_2) ).
cnf(prove_set_builder_alternate_defn1_3,negated_conjecture,
~ member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_3) ).
cnf(175,plain,
member(x,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,106,class_elements_are_sets]) ).
cnf(176,plain,
~ member(x,intersection(complement(singleton(y)),complement(z))),
inference('UR-RESOLVE',[status(thm)],[complement1,106]) ).
cnf(180,plain,
~ member(x,singleton(y)),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,prove_set_builder_alternate_defn1_2,prove_set_builder_alternate_defn1_2]),singleton_set,theory(equality)]) ).
cnf(271,plain,
member(x,complement(z)),
inference('UR-RESOLVE',[status(thm)],[complement2,175,prove_set_builder_alternate_defn1_3]) ).
cnf(415,plain,
member(x,complement(singleton(y))),
inference('UR-RESOLVE',[status(thm)],[complement2,180,175]) ).
cnf(3227,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[intersection3,415,271]),176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET123-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 18:48:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T18:48:13
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-10T18:48:13
% 0.86/1.04
% 0.86/1.04
% 0.86/1.04 #||
% 0.86/1.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.04 % SZS output start Refutation
% See solution above
% 0.86/1.04 ||#
% 0.86/1.04
% 0.86/1.04 ; Summary of computation:
% 0.86/1.04 ; 6745 formulas have been input or derived (from 180 formulas).
% 0.86/1.04 ; 3227 (48%) were retained. Of these,
% 0.86/1.04 ; 15 ( 0%) were simplified or subsumed later,
% 0.86/1.04 ; 3212 (100%) are still being kept.
% 0.86/1.04 ;
% 0.86/1.04 ; Run time in seconds excluding printing time:
% 0.86/1.04 ; 0.017 3% Read assertion file (1 call)
% 0.86/1.04 ; 0.003 1% Assert (95 calls)
% 0.86/1.04 ; 0.209 37% Process new row (6,167 calls)
% 0.86/1.04 ; 0.150 27% Resolution (358 calls)
% 0.86/1.04 ; 0.011 2% Paramodulation (179 calls)
% 0.86/1.04 ; 0.000 0% Factoring (3 calls)
% 0.86/1.04 ; 0.001 0% Condensing (372 calls)
% 0.86/1.04 ; 0.007 1% Forward subsumption (372 calls)
% 0.86/1.04 ; 0.015 3% Backward subsumption (359 calls)
% 0.86/1.04 ; 0.001 0% Clause clause subsumption (242 calls)
% 0.86/1.04 ; 0.073 13% Forward simplification (6,167 calls)
% 0.86/1.04 ; 0.021 4% Backward simplification (3,213 calls)
% 0.86/1.04 ; 0.005 1% Ordering (739 calls)
% 0.86/1.04 ; 0.000 0% Sortal reasoning (32 calls)
% 0.86/1.04 ; 0.001 0% Purity testing (1 call)
% 0.86/1.04 ; 0.050 9% Other
% 0.86/1.04 ; 0.564 Total
% 0.86/1.04 ; 0.565 Real time
% 0.86/1.04 ;
% 0.86/1.04 ; Term-hash-array has 5,330 terms in all.
% 0.86/1.04 ; Feature-vector-row-index has 359 entries (359 at peak, 359 added, 0 deleted).
% 0.86/1.04 ; Feature-vector-row-index has 2,136 nodes (2,136 at peak, 2,136 added, 0 deleted).
% 0.86/1.04 ; Retrieved 201 possibly forward subsuming rows in 372 calls.
% 0.86/1.04 ; Retrieved 88 possibly backward subsumed rows in 359 calls.
% 0.86/1.04 ; Path-index has 5,340 entries (5,340 at peak, 5,341 added, 1 deleted).
% 0.86/1.04 ; Path-index has 4,548 nodes (4,548 at peak, 4,549 added, 1 deleted).
% 0.86/1.04 ; Trie-index has 5,340 entries (5,340 at peak, 5,341 added, 1 deleted).
% 0.86/1.04 ; Trie-index has 15,812 nodes (15,812 at peak, 15,813 added, 1 deleted).
% 0.86/1.04 ; Retrieved 4,448 generalization terms in 15,411 calls.
% 0.86/1.04 ; Retrieved 2,871 instance terms in 2,853 calls.
% 0.86/1.04 ; Retrieved 255,069 unifiable terms in 5,544 calls.
% 0.86/1.04 ;
% 0.86/1.04 ; The agenda of rows to process has 221 entries:
% 0.86/1.04 ; 2 with value 15 88 with value 18 2 with value 21
% 0.86/1.04 ; 36 with value 16 48 with value 19 4 with value 22
% 0.86/1.04 ; 28 with value 17 9 with value 20 4 with value 24
% 0.86/1.04 ; The agenda of rows to give has 3032 entries:
% 0.86/1.04 ; 31 with value (4 10) 23 with value (4 22) 2 with value (4 34)
% 0.86/1.04 ; 67 with value (4 11) 28 with value (4 23) 2 with value (4 37)
% 0.86/1.04 ; 101 with value (4 12) 48 with value (4 24) 1 with value (4 43)
% 0.86/1.04 ; 141 with value (4 13) 30 with value (4 25) 1 with value (4 44)
% 0.86/1.04 ; 186 with value (4 14) 8 with value (4 26) 1 with value (4 45)
% 0.86/1.04 ; 203 with value (4 15) 2 with value (4 27) 3 with value (4 46)
% 0.86/1.04 ; 446 with value (4 16) 8 with value (4 28) 1 with value (4 49)
% 0.86/1.04 ; 485 with value (4 17) 10 with value (4 29) 1 with value (4 51)
% 0.86/1.04 ; 648 with value (4 18) 3 with value (4 30) 1 with value (4 53)
% 0.86/1.04 ; 328 with value (4 19) 1 with value (4 31) 1 with value (4 59)
% 0.86/1.04 ; 156 with value (4 20) 1 with value (4 32) 1 with value (4 63)
% 0.86/1.06 ; 61 with value (4 21) 2 with value (4 33)
% 0.86/1.06 Evaluation took:
% 0.86/1.06 0.567 seconds of real time
% 0.86/1.06 0.523679 seconds of user run time
% 0.86/1.06 0.043022 seconds of system run time
% 0.86/1.06 [Run times include 0.035 seconds GC run time.]
% 0.86/1.06 0 calls to %EVAL
% 0.86/1.06 0 page faults and
% 0.86/1.06 37,572,776 bytes consed.
% 0.86/1.06 :PROOF-FOUND
% 0.86/1.06 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T18:48:13
% 0.86/1.06 :PROOF-FOUND
% 0.86/1.06 *
%------------------------------------------------------------------------------