TSTP Solution File: SEU192+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU192+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 14:19:59 EDT 2022
% Result : Theorem 2.12s 2.39s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 10 unt; 8 nHn; 22 RR)
% Number of literals : 66 ( 10 equ; 35 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 35 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y != relation_dom_restriction(X,Z)
| ~ in(ordered_pair(U,V),Y)
| in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).
cnf(4,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y != relation_dom_restriction(X,Z)
| ~ in(ordered_pair(U,V),Y)
| in(ordered_pair(U,V),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).
cnf(5,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y != relation_dom_restriction(X,Z)
| in(ordered_pair(U,V),Y)
| ~ in(U,Z)
| ~ in(ordered_pair(U,V),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).
cnf(6,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y = relation_dom_restriction(X,Z)
| ~ in(ordered_pair('SKOLEMAAAV1'(Y,Z,X),'SKOLEMAAAV2'(Y,Z,X)),Y)
| ~ in('SKOLEMAAAV1'(Y,Z,X),Z)
| ~ in(ordered_pair('SKOLEMAAAV1'(Y,Z,X),'SKOLEMAAAV2'(Y,Z,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).
cnf(8,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y = relation_dom_restriction(X,Z)
| in(ordered_pair('SKOLEMAAAV1'(Y,Z,X),'SKOLEMAAAV2'(Y,Z,X)),Y)
| in(ordered_pair('SKOLEMAAAV1'(Y,Z,X),'SKOLEMAAAV2'(Y,Z,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).
cnf(9,axiom,
( ~ relation(X)
| Y != relation_dom(X)
| ~ in(Z,Y)
| in(ordered_pair(Z,'SKOLEMAAAV3'(Z,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
cnf(10,axiom,
( ~ relation(X)
| Y != relation_dom(X)
| in(Z,Y)
| ~ in(ordered_pair(Z,U),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
cnf(14,axiom,
( ~ relation(X)
| relation(relation_dom_restriction(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
cnf(34,negated_conjecture,
relation('SKOLEMAAAV13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_relat_1) ).
cnf(35,negated_conjecture,
( ~ in('SKOLEMAAAV11',relation_dom(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12')))
| ~ in('SKOLEMAAAV11','SKOLEMAAAV12')
| ~ in('SKOLEMAAAV11',relation_dom('SKOLEMAAAV13')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_relat_1) ).
cnf(36,negated_conjecture,
( in('SKOLEMAAAV11',relation_dom(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12')))
| in('SKOLEMAAAV11','SKOLEMAAAV12') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_relat_1) ).
cnf(37,negated_conjecture,
( in('SKOLEMAAAV11',relation_dom(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12')))
| in('SKOLEMAAAV11',relation_dom('SKOLEMAAAV13')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_relat_1) ).
cnf(45,plain,
relation(relation_dom_restriction('SKOLEMAAAV13',X)),
inference('HYPERRESOLVE',[status(thm)],[14,34]) ).
cnf(71,plain,
( 'SKOLEMAAAV13' = relation_dom_restriction('SKOLEMAAAV13',X)
| in(ordered_pair('SKOLEMAAAV1'('SKOLEMAAAV13',X,'SKOLEMAAAV13'),'SKOLEMAAAV2'('SKOLEMAAAV13',X,'SKOLEMAAAV13')),'SKOLEMAAAV13') ),
inference('HYPERRESOLVE',[status(thm)],[8,34,34]) ).
cnf(90,plain,
( in('SKOLEMAAAV11','SKOLEMAAAV12')
| in(ordered_pair('SKOLEMAAAV11','SKOLEMAAAV3'('SKOLEMAAAV11',relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'))),relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12')) ),
inference('HYPERRESOLVE',[status(thm)],[9,45,36,theory(equality)]) ).
cnf(91,plain,
( in('SKOLEMAAAV11',relation_dom('SKOLEMAAAV13'))
| in(ordered_pair('SKOLEMAAAV11','SKOLEMAAAV3'('SKOLEMAAAV11',relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'))),relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12')) ),
inference('HYPERRESOLVE',[status(thm)],[9,45,37,theory(equality)]) ).
cnf(1503,plain,
in('SKOLEMAAAV11','SKOLEMAAAV12'),
inference('HYPERRESOLVE',[status(thm)],[3,90,34,45,theory(equality)]) ).
cnf(1504,plain,
( ~ in('SKOLEMAAAV11',relation_dom(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12')))
| ~ in('SKOLEMAAAV11',relation_dom('SKOLEMAAAV13')) ),
inference('REWRITE',[status(thm)],[35,1503]) ).
cnf(2420,plain,
( 'SKOLEMAAAV13' = relation_dom_restriction('SKOLEMAAAV13',X)
| in('SKOLEMAAAV1'('SKOLEMAAAV13',X,'SKOLEMAAAV13'),relation_dom('SKOLEMAAAV13')) ),
inference('HYPERRESOLVE',[status(thm)],[10,71,34,theory(equality)]) ).
cnf(2422,plain,
'SKOLEMAAAV13' = relation_dom_restriction('SKOLEMAAAV13',relation_dom('SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[6,2420,34,34,71,71]) ).
cnf(3224,plain,
( in('SKOLEMAAAV11',relation_dom('SKOLEMAAAV13'))
| in(ordered_pair('SKOLEMAAAV11','SKOLEMAAAV3'('SKOLEMAAAV11',relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'))),'SKOLEMAAAV13') ),
inference('HYPERRESOLVE',[status(thm)],[4,91,34,45,theory(equality)]) ).
cnf(3228,plain,
in('SKOLEMAAAV11',relation_dom('SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[3,3224,34,34,2422]) ).
cnf(3229,plain,
~ in('SKOLEMAAAV11',relation_dom(relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12'))),
inference('REWRITE',[status(thm)],[1504,3228]) ).
cnf(3231,plain,
~ in(ordered_pair('SKOLEMAAAV11',X),relation_dom_restriction('SKOLEMAAAV13','SKOLEMAAAV12')),
inference('UR-RESOLVE',[status(thm)],[10,3229,45,theory(equality)]) ).
cnf(3247,plain,
in(ordered_pair('SKOLEMAAAV11','SKOLEMAAAV3'('SKOLEMAAAV11','SKOLEMAAAV13')),'SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[9,3228,34,theory(equality)]) ).
cnf(3251,plain,
~ in(ordered_pair('SKOLEMAAAV11',X),'SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[5,3231,34,45,1503,theory(equality)]) ).
cnf(3252,plain,
$false,
inference('REWRITE',[status(thm)],[3247,3251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU192+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n012.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 : 600
% 0.13/0.35 % DateTime : Sun Jun 19 22:17:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 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 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:17:08
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-19T22:17:08
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 2.12/2.39 ; Declaring unordered_pair to be commutative.
% 2.12/2.39
% 2.12/2.39 #||
% 2.12/2.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.12/2.39 % SZS output start Refutation
% See solution above
% 2.12/2.39 ||#
% 2.12/2.39
% 2.12/2.39 ; Summary of computation:
% 2.12/2.39 ; 5178 formulas have been input or derived (from 468 formulas).
% 2.12/2.39 ; 3252 (63%) were retained. Of these,
% 2.12/2.39 ; 172 ( 5%) were simplified or subsumed later,
% 2.12/2.39 ; 3080 (95%) are still being kept.
% 2.12/2.39 ;
% 2.12/2.39 ; Run time in seconds excluding printing time:
% 2.12/2.39 ; 0.005 0% Read assertion file (1 call)
% 2.12/2.39 ; 0.002 0% Assert (31 calls)
% 2.12/2.39 ; 0.291 15% Process new row (4,937 calls)
% 2.12/2.39 ; 1.331 70% Resolution (934 calls)
% 2.12/2.39 ; 0.020 1% Paramodulation (467 calls)
% 2.12/2.39 ; 0.000 0% Factoring (34 calls)
% 2.12/2.39 ; 0.009 0% Condensing (444 calls)
% 2.12/2.39 ; 0.038 2% Forward subsumption (444 calls)
% 2.12/2.39 ; 0.018 1% Backward subsumption (372 calls)
% 2.12/2.39 ; 0.004 0% Clause clause subsumption (591 calls)
% 2.12/2.39 ; 0.082 4% Forward simplification (4,922 calls)
% 2.12/2.39 ; 0.049 3% Backward simplification (3,252 calls)
% 2.12/2.39 ; 0.006 0% Ordering (5,975 calls)
% 2.12/2.39 ; 0.000 0% Sortal reasoning (32 calls)
% 2.12/2.39 ; 0.000 0% Purity testing (1 call)
% 2.12/2.39 ; 0.048 3% Other
% 2.12/2.39 ; 1.903 Total
% 2.12/2.39 ; 1.906 Real time
% 2.12/2.39 ;
% 2.12/2.39 ; Term-hash-array has 7,658 terms in all.
% 2.12/2.39 ; Feature-vector-row-index has 328 entries (343 at peak, 372 added, 44 deleted).
% 2.12/2.39 ; Feature-vector-row-index has 2,922 nodes (3,120 at peak, 3,436 added, 514 deleted).
% 2.12/2.39 ; Retrieved 536 possibly forward subsuming rows in 444 calls.
% 2.12/2.39 ; Retrieved 67 possibly backward subsumed rows in 372 calls.
% 2.12/2.39 ; Path-index has 7,447 entries (7,450 at peak, 7,754 added, 307 deleted).
% 2.12/2.39 ; Path-index has 4,121 nodes (4,132 at peak, 4,319 added, 198 deleted).
% 2.12/2.39 ; Trie-index has 7,447 entries (7,450 at peak, 7,754 added, 307 deleted).
% 2.12/2.39 ; Trie-index has 29,140 nodes (29,149 at peak, 30,706 added, 1,566 deleted).
% 2.12/2.39 ; Retrieved 2,212 generalization terms in 22,168 calls.
% 2.12/2.39 ; Retrieved 2,881 instance terms in 2,879 calls.
% 2.12/2.39 ; Retrieved 1,605,473 unifiable terms in 132,215 calls.
% 2.12/2.39 ;
% 2.12/2.39 ; The agenda of rows to process has 13 entries:
% 2.12/2.39 ; 1 with value 12 2 with value 17 2 with value 23
% 2.12/2.39 ; 2 with value 13 2 with value 19 2 with value 27
% 2.12/2.39 ; 2 with value 15
% 2.12/2.39 ; The agenda of rows to give has 2655 entries:
% 2.12/2.39 ; 4 with value (4 11) 4 with value (4 42) 4 with value (4 83)
% 2.12/2.39 ; 2 with value (4 13) 8 with value (4 43) 4 with value (4 84)
% 2.12/2.39 ; 1 with value (4 15) 4 with value (4 44) 4 with value (4 85)
% 2.12/2.39 ; 2 with value (4 16) 2 with value (4 48) 4 with value (4 86)
% 2.12/2.39 ; 1 with value (4 18) 6 with value (4 51) 4 with value (4 87)
% 2.12/2.39 ; 2 with value (4 19) 10 with value (4 52) 4 with value (4 88)
% 2.12/2.39 ; 1 with value (4 20) 6 with value (4 54) 4 with value (4 92)
% 2.12/2.39 ; 2 with value (4 22) 2 with value (4 55) 4 with value (4 93)
% 2.12/2.39 ; 120 with value (4 23) 4 with value (4 56) 4 with value (4 95)
% 2.12/2.39 ; 115 with value (4 24) 4 with value (4 57) 8 with value (4 96)
% 2.12/2.39 ; 137 with value (4 25) 2 with value (4 61) 4 with value (4 98)
% 2.12/2.39 ; 210 with value (4 26) 2 with value (4 63) 4 with value (4 99)
% 2.12/2.39 ; 224 with value (4 27) 10 with value (4 64) 4 with value (4 100)
% 2.12/2.39 ; 320 with value (4 28) 4 with value (4 65) 4 with value (4 101)
% 2.12/2.39 ; 196 with value (4 29) 6 with value (4 66) 4 with value (4 107)
% 2.12/2.39 ; 318 with value (4 30) 4 with value (4 67) 8 with value (4 108)
% 2.12/2.39 ; 176 with value (4 31) 6 with value (4 68) 4 with value (4 109)
% 2.12/2.39 ; 260 with value (4 32) 4 with value (4 69) 4 with value (4 111)
% 2.12/2.39 ; 132 with value (4 33) 4 with value (4 71) 4 with value (4 112)
% 2.12/2.39 ; 164 with value (4 34) 6 with value (4 74) 4 with value (4 118)
% 2.12/2.39 ; 19 with value (4 35) 4 with value (4 76) 4 with value (4 120)
% 2.12/2.39 ; 3 with value (4 36) 2 with value (4 77) 4 with value (4 123)
% 2.12/2.39 ; 2 with value (4 37) 4 with value (4 78) 4 with value (4 124)
% 2.12/2.39 ; 2 with value (4 38) 8 with value (4 79) 4 with value (4 135)
% 2.12/2.39 ; 2 with value (4 40) 4 with value (4 80) 4 with value (4 136)
% 2.12/2.39 ; 2 with value (4 41) 6 with value (4 82) 4 with value (4 148)
% 2.12/2.39 Evaluation took:
% 2.12/2.39 1.907 seconds of real time
% 2.12/2.39 1.818585 seconds of user run time
% 2.12/2.39 0.087742 seconds of system run time
% 2.12/2.39 [Run times include 0.156 seconds GC run time.]
% 2.12/2.39 0 calls to %EVAL
% 2.12/2.39 0 page faults and
% 2.12/2.39 129,707,968 bytes consed.
% 2.12/2.39 :PROOF-FOUND
% 2.12/2.39 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:17:09
% 2.12/2.39 :PROOF-FOUND
% 2.12/2.39 *
%------------------------------------------------------------------------------