%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET964+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:13:43 EDT 2022
% Result : Theorem 1.47s 1.65s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 13 unt; 3 nHn; 19 RR)
% Number of literals : 33 ( 4 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X = empty_set
| in('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(7,axiom,
( X != cartesian_product2(Y,Z)
| in(U,X)
| ~ in(V,Y)
| ~ in(W,Z)
| U != ordered_pair(V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
cnf(12,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(13,axiom,
( subset(X,Y)
| in('SKOLEMAAAV7'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(14,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV7'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(18,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(19,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(24,negated_conjecture,
'SKOLEMAAAV10' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_zfmisc_1) ).
cnf(25,negated_conjecture,
( subset(cartesian_product2('SKOLEMAAAV11','SKOLEMAAAV10'),cartesian_product2('SKOLEMAAAV12','SKOLEMAAAV10'))
| subset(cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV11'),cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV12')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_zfmisc_1) ).
cnf(26,negated_conjecture,
~ subset('SKOLEMAAAV11','SKOLEMAAAV12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_zfmisc_1) ).
cnf(28,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV10'),'SKOLEMAAAV10'),
inference('UR-RESOLVE',[status(thm)],[3,24]) ).
cnf(29,plain,
in('SKOLEMAAAV7'('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[26,13]) ).
cnf(30,plain,
~ in('SKOLEMAAAV7'('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV12'),
inference('UR-RESOLVE',[status(thm)],[14,26]) ).
cnf(105,plain,
in(ordered_pair('SKOLEMAAAV7'('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV1'('SKOLEMAAAV10')),cartesian_product2('SKOLEMAAAV11','SKOLEMAAAV10')),
inference('HYPERRESOLVE',[status(thm)],[7,29,28,theory(equality),theory(equality)]) ).
cnf(106,plain,
in(ordered_pair('SKOLEMAAAV1'('SKOLEMAAAV10'),'SKOLEMAAAV7'('SKOLEMAAAV11','SKOLEMAAAV12')),cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[7,29,28,theory(equality),theory(equality)]) ).
cnf(119,plain,
~ in(ordered_pair('SKOLEMAAAV7'('SKOLEMAAAV11','SKOLEMAAAV12'),X),cartesian_product2('SKOLEMAAAV12',Y)),
inference('UR-RESOLVE',[status(thm)],[18,30]) ).
cnf(120,plain,
~ in(ordered_pair(X,'SKOLEMAAAV7'('SKOLEMAAAV11','SKOLEMAAAV12')),cartesian_product2(Y,'SKOLEMAAAV12')),
inference('UR-RESOLVE',[status(thm)],[19,30]) ).
cnf(1482,plain,
~ subset(cartesian_product2('SKOLEMAAAV11','SKOLEMAAAV10'),cartesian_product2('SKOLEMAAAV12',X)),
inference('UR-RESOLVE',[status(thm)],[12,105,119]) ).
cnf(1483,plain,
subset(cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV11'),cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV12')),
inference('REWRITE',[status(thm)],[25,1482]) ).
cnf(1563,plain,
~ in(ordered_pair(X,'SKOLEMAAAV7'('SKOLEMAAAV11','SKOLEMAAAV12')),cartesian_product2('SKOLEMAAAV10','SKOLEMAAAV11')),
inference('UR-RESOLVE',[status(thm)],[12,1483,120]) ).
cnf(1564,plain,
$false,
inference('REWRITE',[status(thm)],[106,1563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET964+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sun Jul 10 08:33:57 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T08:33:57
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T08:33:57
% 0.22/0.53
% 0.22/0.53 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 1.47/1.65 ; Declaring unordered_pair to be commutative.
% 1.47/1.65
% 1.47/1.65 #||
% 1.47/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.47/1.65 % SZS output start Refutation
% See solution above
% 1.47/1.65 ||#
% 1.47/1.65
% 1.47/1.65 ; Summary of computation:
% 1.47/1.65 ; 9334 formulas have been input or derived (from 115 formulas).
% 1.47/1.65 ; 1564 (17%) were retained. Of these,
% 1.47/1.65 ; 30 ( 2%) were simplified or subsumed later,
% 1.47/1.65 ; 1534 (98%) are still being kept.
% 1.47/1.65 ;
% 1.47/1.65 ; Run time in seconds excluding printing time:
% 1.47/1.65 ; 0.003 0% Read assertion file (1 call)
% 1.47/1.65 ; 0.001 0% Assert (13 calls)
% 1.47/1.65 ; 0.143 13% Process new row (7,700 calls)
% 1.47/1.65 ; 0.657 58% Resolution (228 calls)
% 1.47/1.65 ; 0.000 0% Paramodulation (114 calls)
% 1.47/1.65 ; 0.000 0% Factoring (9 calls)
% 1.47/1.65 ; 0.034 3% Condensing (1,842 calls)
% 1.47/1.65 ; 0.070 6% Forward subsumption (1,842 calls)
% 1.47/1.65 ; 0.014 1% Backward subsumption (521 calls)
% 1.47/1.65 ; 0.009 1% Clause clause subsumption (3,424 calls)
% 1.47/1.65 ; 0.131 12% Forward simplification (7,699 calls)
% 1.47/1.65 ; 0.015 1% Backward simplification (1,564 calls)
% 1.47/1.65 ; 0.007 1% Ordering (2,427 calls)
% 1.47/1.65 ; 0.000 0% Sortal reasoning (32 calls)
% 1.47/1.65 ; 0.000 0% Purity testing (1 call)
% 1.47/1.65 ; 0.050 4% Other
% 1.47/1.65 ; 1.134 Total
% 1.47/1.65 ; 1.137 Real time
% 1.47/1.65 ;
% 1.47/1.65 ; Term-hash-array has 3,224 terms in all.
% 1.47/1.65 ; Feature-vector-row-index has 501 entries (502 at peak, 521 added, 20 deleted).
% 1.47/1.65 ; Feature-vector-row-index has 1,733 nodes (1,733 at peak, 1,851 added, 118 deleted).
% 1.47/1.65 ; Retrieved 4,344 possibly forward subsuming rows in 1,842 calls.
% 1.47/1.65 ; Retrieved 609 possibly backward subsumed rows in 521 calls.
% 1.47/1.65 ; Path-index has 3,183 entries (3,201 at peak, 3,259 added, 76 deleted).
% 1.47/1.65 ; Path-index has 1,868 nodes (1,868 at peak, 1,919 added, 51 deleted).
% 1.47/1.65 ; Trie-index has 3,183 entries (3,201 at peak, 3,259 added, 76 deleted).
% 1.47/1.65 ; Trie-index has 13,730 nodes (13,775 at peak, 13,960 added, 230 deleted).
% 1.47/1.65 ; Retrieved 7,961 generalization terms in 29,672 calls.
% 1.47/1.65 ; Retrieved 1,055 instance terms in 1,042 calls.
% 1.47/1.65 ; Retrieved 1,213,551 unifiable terms in 27,712 calls.
% 1.47/1.65 ;
% 1.47/1.65 ; The agenda of backward simplifiable rows to process has 1 entry:
% 1.47/1.65 ; 1 with value 0
% 1.47/1.65 ; The agenda of rows to process has 8 entries:
% 1.47/1.65 ; 2 with value 15 2 with value 22 1 with value 47
% 1.47/1.65 ; 1 with value 19 2 with value 35
% 1.47/1.65 ; The agenda of rows to give has 1420 entries:
% 1.47/1.65 ; 2 with value (4 12) 50 with value (4 26) 5 with value (4 40)
% 1.47/1.65 ; 22 with value (4 15) 54 with value (4 27) 2 with value (4 41)
% 1.47/1.65 ; 50 with value (4 16) 39 with value (4 28) 2 with value (4 42)
% 1.47/1.65 ; 48 with value (4 17) 23 with value (4 29) 10 with value (4 43)
% 1.47/1.65 ; 94 with value (4 18) 7 with value (4 31) 20 with value (4 44)
% 1.47/1.65 ; 81 with value (4 19) 4 with value (4 32) 4 with value (4 46)
% 1.47/1.65 ; 159 with value (4 20) 5 with value (4 33) 23 with value (4 47)
% 1.47/1.65 ; 63 with value (4 21) 21 with value (4 34) 4 with value (4 48)
% 1.47/1.65 ; 88 with value (4 22) 42 with value (4 35) 2 with value (4 49)
% 1.47/1.65 ; 248 with value (4 23) 12 with value (4 37) 2 with value (4 53)
% 1.47/1.65 ; 84 with value (4 24) 36 with value (4 38) 4 with value (4 56)
% 1.47/1.65 ; 100 with value (4 25) 8 with value (4 39) 2 with value (4 65)
% 1.47/1.65 Evaluation took:
% 1.47/1.65 1.138 seconds of real time
% 1.47/1.65 1.085568 seconds of user run time
% 1.47/1.65 0.051675 seconds of system run time
% 1.47/1.65 [Run times include 0.057 seconds GC run time.]
% 1.47/1.65 0 calls to %EVAL
% 1.47/1.65 0 page faults and
% 1.47/1.65 68,292,120 bytes consed.
% 1.47/1.65 :PROOF-FOUND
% 1.47/1.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T08:33:58
% 1.47/1.65 :PROOF-FOUND
% 1.47/1.65 *
%------------------------------------------------------------------------------