TSTP Solution File: SEU263+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 14:20:44 EDT 2022
% Result : Theorem 0.46s 0.62s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 19 RR)
% Number of literals : 32 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ element(X,powerset(cartesian_product2(Y,Z)))
| relation(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
cnf(3,axiom,
( relation_of2(X,Y,Z)
| ~ subset(X,cartesian_product2(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relset_1) ).
cnf(4,axiom,
( ~ relation_of2_as_subset(X,Y,Z)
| element(X,powerset(cartesian_product2(Y,Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
cnf(9,axiom,
( relation_of2_as_subset(X,Y,Z)
| ~ relation_of2(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(10,axiom,
subset(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(11,axiom,
( ~ subset(X,Y)
| ~ subset(Z,U)
| subset(cartesian_product2(X,Z),cartesian_product2(Y,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
cnf(12,axiom,
( ~ relation_of2_as_subset(X,Y,Z)
| subset(relation_dom(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
cnf(14,negated_conjecture,
relation_of2_as_subset('SKOLEMAAAV7','SKOLEMAAAV6','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
cnf(15,negated_conjecture,
subset(relation_rng('SKOLEMAAAV7'),'SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
cnf(16,negated_conjecture,
~ relation_of2_as_subset('SKOLEMAAAV7','SKOLEMAAAV6','SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
cnf(17,axiom,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(18,axiom,
( ~ relation(X)
| subset(X,cartesian_product2(relation_dom(X),relation_rng(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).
cnf(23,plain,
~ relation_of2('SKOLEMAAAV7','SKOLEMAAAV6','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[9,16]) ).
cnf(28,plain,
subset(relation_dom('SKOLEMAAAV7'),'SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[12,14]) ).
cnf(35,plain,
element('SKOLEMAAAV7',powerset(cartesian_product2('SKOLEMAAAV6','SKOLEMAAAV4'))),
inference('HYPERRESOLVE',[status(thm)],[4,14]) ).
cnf(38,plain,
subset(cartesian_product2(X,relation_rng('SKOLEMAAAV7')),cartesian_product2(X,'SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[11,10,15]) ).
cnf(41,plain,
~ subset('SKOLEMAAAV7',cartesian_product2('SKOLEMAAAV6','SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[3,23]) ).
cnf(44,plain,
subset(cartesian_product2(relation_dom('SKOLEMAAAV7'),X),cartesian_product2('SKOLEMAAAV6',X)),
inference('HYPERRESOLVE',[status(thm)],[11,28,10]) ).
cnf(163,plain,
relation('SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[1,35]) ).
cnf(164,plain,
subset('SKOLEMAAAV7',cartesian_product2(relation_dom('SKOLEMAAAV7'),relation_rng('SKOLEMAAAV7'))),
inference('HYPERRESOLVE',[status(thm)],[18,163]) ).
cnf(320,plain,
~ subset('SKOLEMAAAV7',cartesian_product2('SKOLEMAAAV6',relation_rng('SKOLEMAAAV7'))),
inference('UR-RESOLVE',[status(thm)],[17,38,41]) ).
cnf(694,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[17,44,320]),164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 Jun 19 20:39:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T20:39:49
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-19T20:39:49
% 0.46/0.62
% 0.46/0.62
% 0.46/0.62 #||
% 0.46/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.62 % SZS output start Refutation
% See solution above
% 0.46/0.62 ||#
% 0.46/0.62
% 0.46/0.62 ; Summary of computation:
% 0.46/0.62 ; 1608 formulas have been input or derived (from 72 formulas).
% 0.46/0.62 ; 694 (43%) were retained. Of these,
% 0.46/0.62 ; 694 (100%) are still being kept.
% 0.46/0.62 ;
% 0.46/0.62 ; Run time in seconds excluding printing time:
% 0.46/0.62 ; 0.004 3% Read assertion file (1 call)
% 0.46/0.62 ; 0.001 1% Assert (20 calls)
% 0.46/0.62 ; 0.048 34% Process new row (1,372 calls)
% 0.46/0.62 ; 0.030 21% Resolution (142 calls)
% 0.46/0.62 ; 0.000 0% Paramodulation (71 calls)
% 0.46/0.62 ; 0.000 0% Condensing (13 calls)
% 0.46/0.62 ; 0.001 1% Forward subsumption (13 calls)
% 0.46/0.62 ; 0.000 0% Backward subsumption (13 calls)
% 0.46/0.62 ; 0.000 0% Clause clause subsumption (1 call)
% 0.46/0.62 ; 0.019 14% Forward simplification (1,372 calls)
% 0.46/0.62 ; 0.006 4% Backward simplification (694 calls)
% 0.46/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.62 ; 0.000 0% Purity testing (1 call)
% 0.46/0.62 ; 0.031 22% Other
% 0.46/0.62 ; 0.140 Total
% 0.46/0.62 ; 0.142 Real time
% 0.46/0.62 ;
% 0.46/0.62 ; Term-hash-array has 1,468 terms in all.
% 0.46/0.62 ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.46/0.62 ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.46/0.62 ; Retrieved 0 possibly forward subsuming rows in 13 calls.
% 0.46/0.62 ; Retrieved 1 possibly backward subsumed row in 13 calls.
% 0.46/0.62 ; Path-index has 1,472 entries (1,472 at peak, 1,472 added, 0 deleted).
% 0.46/0.62 ; Path-index has 2,209 nodes (2,209 at peak, 2,209 added, 0 deleted).
% 0.46/0.62 ; Trie-index has 1,472 entries (1,472 at peak, 1,472 added, 0 deleted).
% 0.46/0.62 ; Trie-index has 5,510 nodes (5,510 at peak, 5,510 added, 0 deleted).
% 0.46/0.62 ; Retrieved 2,668 generalization terms in 1,373 calls.
% 0.46/0.62 ; Retrieved 683 instance terms in 680 calls.
% 0.46/0.62 ; Retrieved 26,636 unifiable terms in 1,421 calls.
% 0.46/0.62 ;
% 0.46/0.62 ; The agenda of rows to process has 106 entries:
% 0.46/0.62 ; 3 with value 14 16 with value 20 28 with value 23
% 0.46/0.62 ; 6 with value 15 8 with value 21 12 with value 24
% 0.46/0.62 ; 1 with value 18 16 with value 22 4 with value 25
% 0.46/0.62 ; 12 with value 19
% 0.46/0.62 ; The agenda of rows to give has 622 entries:
% 0.46/0.62 ; 1 with value (4 12) 63 with value (4 17) 50 with value (4 22)
% 0.46/0.62 ; 28 with value (4 13) 91 with value (4 18) 34 with value (4 23)
% 0.46/0.62 ; 42 with value (4 14) 78 with value (4 19) 16 with value (4 24)
% 0.46/0.63 ; 31 with value (4 15) 57 with value (4 20) 1 with value (4 25)
% 0.46/0.63 ; 45 with value (4 16) 84 with value (4 21) 1 with value (4 27)
% 0.46/0.63 Evaluation took:
% 0.46/0.63 0.142 seconds of real time
% 0.46/0.63 0.125094 seconds of user run time
% 0.46/0.63 0.017116 seconds of system run time
% 0.46/0.63 0 calls to %EVAL
% 0.46/0.63 0 page faults and
% 0.46/0.63 9,543,736 bytes consed.
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T20:39:50
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 *
%------------------------------------------------------------------------------