TSTP Solution File: SWV401+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV401+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 : Wed Jul 20 21:33:11 EDT 2022
% Result : Theorem 155.52s 155.76s
% Output : Refutation 155.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 9 unt; 14 nHn; 16 RR)
% Number of literals : 56 ( 22 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 59 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( less_than(X,Y)
| less_than(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).
cnf(6,axiom,
( strictly_less_than(X,Y)
| ~ less_than(X,Y)
| less_than(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
cnf(15,axiom,
( ~ pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
| pair_in_list(X,U,V)
| Y = U ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax23) ).
cnf(16,axiom,
( ~ pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
| pair_in_list(X,U,V)
| Z = V ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax23) ).
cnf(17,axiom,
( pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
| ~ pair_in_list(X,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax23) ).
cnf(18,axiom,
( pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
| Y != U
| Z != V ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax23) ).
cnf(24,axiom,
( ~ strictly_less_than(X,Y)
| update_slb(insert_slb(Z,pair(U,X)),Y) = insert_slb(update_slb(Z,Y),pair(U,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax29) ).
cnf(25,axiom,
( ~ less_than(X,Y)
| update_slb(insert_slb(Z,pair(U,Y)),X) = insert_slb(update_slb(Z,X),pair(U,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax30) ).
cnf(26,negated_conjecture,
( ~ pair_in_list('SKOLEMAAAU1',X,Y)
| ~ less_than(Z,Y)
| pair_in_list(update_slb('SKOLEMAAAU1',Z),X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_co) ).
cnf(27,negated_conjecture,
pair_in_list(insert_slb('SKOLEMAAAU1',pair('SKOLEMAAAU5','SKOLEMAAAU6')),'SKOLEMAAAU2','SKOLEMAAAU3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_co) ).
cnf(28,negated_conjecture,
less_than('SKOLEMAAAU4','SKOLEMAAAU3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_co) ).
cnf(29,negated_conjecture,
~ pair_in_list(update_slb(insert_slb('SKOLEMAAAU1',pair('SKOLEMAAAU5','SKOLEMAAAU6')),'SKOLEMAAAU4'),'SKOLEMAAAU2','SKOLEMAAAU3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_co) ).
cnf(36,plain,
( less_than(X,Y)
| strictly_less_than(Y,X) ),
inference('HYPERRESOLVE',[status(thm)],[6,2]) ).
cnf(40,plain,
( pair_in_list('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU3')
| 'SKOLEMAAAU5' = 'SKOLEMAAAU2' ),
inference('HYPERRESOLVE',[status(thm)],[15,27]) ).
cnf(41,plain,
( pair_in_list('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU3')
| 'SKOLEMAAAU6' = 'SKOLEMAAAU3' ),
inference('HYPERRESOLVE',[status(thm)],[16,27]) ).
cnf(42,plain,
update_slb(insert_slb(X,pair(Y,'SKOLEMAAAU3')),'SKOLEMAAAU4') = insert_slb(update_slb(X,'SKOLEMAAAU4'),pair(Y,'SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[25,28]) ).
cnf(48,plain,
( less_than(X,Y)
| update_slb(insert_slb(Z,pair(U,Y)),X) = insert_slb(update_slb(Z,X),pair(U,X)) ),
inference('HYPERRESOLVE',[status(thm)],[24,36]) ).
cnf(49,plain,
( 'SKOLEMAAAU5' = 'SKOLEMAAAU2'
| pair_in_list(update_slb('SKOLEMAAAU1','SKOLEMAAAU4'),'SKOLEMAAAU2','SKOLEMAAAU3') ),
inference('HYPERRESOLVE',[status(thm)],[26,40,28]) ).
cnf(54,plain,
( 'SKOLEMAAAU6' = 'SKOLEMAAAU3'
| pair_in_list(update_slb('SKOLEMAAAU1','SKOLEMAAAU4'),'SKOLEMAAAU2','SKOLEMAAAU3') ),
inference('HYPERRESOLVE',[status(thm)],[26,41,28]) ).
cnf(75,plain,
( 'SKOLEMAAAU5' = 'SKOLEMAAAU2'
| pair_in_list(insert_slb(update_slb('SKOLEMAAAU1','SKOLEMAAAU4'),pair(X,Y)),'SKOLEMAAAU2','SKOLEMAAAU3') ),
inference('HYPERRESOLVE',[status(thm)],[17,49]) ).
cnf(78,plain,
( 'SKOLEMAAAU6' = 'SKOLEMAAAU3'
| pair_in_list(insert_slb(update_slb('SKOLEMAAAU1','SKOLEMAAAU4'),pair(X,Y)),'SKOLEMAAAU2','SKOLEMAAAU3') ),
inference('HYPERRESOLVE',[status(thm)],[17,54]) ).
cnf(182,plain,
( update_slb(insert_slb(X,pair(Y,Z)),U) = insert_slb(update_slb(X,U),pair(Y,U))
| update_slb(insert_slb(V,pair(W,Z)),U) = insert_slb(update_slb(V,U),pair(W,Z)) ),
inference('HYPERRESOLVE',[status(thm)],[25,48]) ).
cnf(2280,plain,
( update_slb(insert_slb(X,pair(Y,'SKOLEMAAAU6')),'SKOLEMAAAU4') = insert_slb(update_slb(X,'SKOLEMAAAU4'),pair(Y,'SKOLEMAAAU6'))
| ~ pair_in_list(insert_slb(update_slb('SKOLEMAAAU1','SKOLEMAAAU4'),pair('SKOLEMAAAU5','SKOLEMAAAU4')),'SKOLEMAAAU2','SKOLEMAAAU3') ),
inference('PARAMODULATE',[status(thm)],[29,182,theory(equality)]) ).
cnf(2602,plain,
( 'SKOLEMAAAU6' = 'SKOLEMAAAU3'
| update_slb(insert_slb(X,pair(Y,'SKOLEMAAAU6')),'SKOLEMAAAU4') = insert_slb(update_slb(X,'SKOLEMAAAU4'),pair(Y,'SKOLEMAAAU6')) ),
inference('HYPERRESOLVE',[status(thm)],[2280,78]) ).
cnf(2604,plain,
( 'SKOLEMAAAU6' = 'SKOLEMAAAU3'
| ~ pair_in_list(insert_slb(update_slb('SKOLEMAAAU1','SKOLEMAAAU4'),pair('SKOLEMAAAU5','SKOLEMAAAU6')),'SKOLEMAAAU2','SKOLEMAAAU3') ),
inference('PARAMODULATE',[status(thm)],[29,2602,theory(equality)]) ).
cnf(2711,plain,
'SKOLEMAAAU6' = 'SKOLEMAAAU3',
inference('HYPERRESOLVE',[status(thm)],[2604,78]) ).
cnf(2713,plain,
~ pair_in_list(insert_slb(update_slb('SKOLEMAAAU1','SKOLEMAAAU4'),pair('SKOLEMAAAU5','SKOLEMAAAU3')),'SKOLEMAAAU2','SKOLEMAAAU3'),
inference('REWRITE',[status(thm)],[29,42,2711,theory(equality)]) ).
cnf(3020,plain,
'SKOLEMAAAU5' != 'SKOLEMAAAU2',
inference('UR-RESOLVE',[status(thm)],[18,2713,theory(equality)]) ).
cnf(3029,plain,
pair_in_list(insert_slb(update_slb('SKOLEMAAAU1','SKOLEMAAAU4'),pair(X,Y)),'SKOLEMAAAU2','SKOLEMAAAU3'),
inference('REWRITE',[status(thm)],[75,3020]) ).
cnf(3030,plain,
$false,
inference('REWRITE',[status(thm)],[2713,3029]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % 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 : Tue Jun 14 17:51:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-14T17:51:14
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-14T17:51:14
% 155.52/155.76
% 155.52/155.76
% 155.52/155.76 #||
% 155.52/155.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 155.52/155.76 % SZS output start Refutation
% See solution above
% 155.52/155.76 ||#
% 155.52/155.76
% 155.52/155.76 ; Summary of computation:
% 155.52/155.76 ; 44380 formulas have been input or derived (from 353 formulas).
% 155.52/155.76 ; 3030 ( 7%) were retained. Of these,
% 155.52/155.76 ; 1818 (60%) were simplified or subsumed later,
% 155.52/155.76 ; 1212 (40%) are still being kept.
% 155.52/155.76 ;
% 155.52/155.76 ; Run time in seconds excluding printing time:
% 155.52/155.76 ; 0.006 0% Read assertion file (1 call)
% 155.52/155.76 ; 0.000 0% Assert (19 calls)
% 155.52/155.76 ; 0.683 0% Process new row (43,863 calls)
% 155.52/155.76 ; 1.172 1% Resolution (704 calls)
% 155.52/155.76 ; 0.076 0% Paramodulation (352 calls)
% 155.52/155.76 ; 0.007 0% Factoring (298 calls)
% 155.52/155.76 ; 41.237 27% Condensing (38,816 calls)
% 155.52/155.76 ; 10.769 7% Forward subsumption (38,816 calls)
% 155.52/155.76 ; 0.245 0% Backward subsumption (2,979 calls)
% 155.52/155.76 ; 97.424 63% Clause clause subsumption (1,499,596 calls)
% 155.52/155.76 ; 2.922 2% Forward simplification (43,823 calls)
% 155.52/155.76 ; 0.157 0% Backward simplification (3,030 calls)
% 155.52/155.76 ; 0.358 0% Ordering (340,926 calls)
% 155.52/155.76 ; 0.000 0% Sortal reasoning (32 calls)
% 155.52/155.76 ; 0.000 0% Purity testing (1 call)
% 155.52/155.76 ; 0.222 0% Other
% 155.52/155.76 ; 155.278 Total
% 155.52/155.76 ; 155.286 Real time
% 155.52/155.76 ;
% 155.52/155.76 ; Term-hash-array has 5,518 terms in all.
% 155.52/155.76 ; Feature-vector-row-index has 1,170 entries (2,628 at peak, 2,979 added, 1,809 deleted).
% 155.52/155.76 ; Feature-vector-row-index has 3,083 nodes (13,772 at peak, 16,609 added, 13,526 deleted).
% 155.52/155.76 ; Retrieved 3,379,933 possibly forward subsuming rows in 38,816 calls.
% 155.52/155.76 ; Retrieved 20,324 possibly backward subsumed rows in 2,979 calls.
% 155.52/155.76 ; Path-index has 2,655 entries (4,750 at peak, 5,682 added, 3,027 deleted).
% 155.52/155.76 ; Path-index has 3,536 nodes (4,164 at peak, 4,848 added, 1,312 deleted).
% 155.52/155.76 ; Trie-index has 2,655 entries (4,750 at peak, 5,682 added, 3,027 deleted).
% 155.52/155.76 ; Trie-index has 7,596 nodes (21,874 at peak, 29,051 added, 21,455 deleted).
% 155.52/155.76 ; Retrieved 368,959 generalization terms in 417,624 calls.
% 155.52/155.76 ; Retrieved 71 instance terms in 50 calls.
% 155.52/155.76 ; Retrieved 76,064 unifiable terms in 4,479 calls.
% 155.52/155.76 ;
% 155.52/155.76 ; The agenda of backward simplifiable rows to process has 413 entries:
% 155.52/155.76 ; 413 with value 0
% 155.52/155.76 ; The agenda of rows to process has 14 entries:
% 155.52/155.76 ; 2 with value 6 1 with value 16 1 with value 26
% 155.52/155.76 ; 1 with value 8 1 with value 17 1 with value 27
% 155.52/155.76 ; 1 with value 9 2 with value 21 2 with value 28
% 155.52/155.76 ; 1 with value 12 1 with value 25
% 155.52/155.76 ; The agenda of rows to give has 1085 entries:
% 155.52/155.76 ; 1 with value (4 5) 17 with value (4 46) 6 with value (4 65)
% 155.52/155.76 ; 1 with value (4 6) 26 with value (4 47) 140 with value (4 66)
% 155.52/155.76 ; 3 with value (4 10) 20 with value (4 48) 39 with value (4 67)
% 155.52/155.76 ; 1 with value (4 11) 18 with value (4 49) 18 with value (4 68)
% 155.52/155.76 ; 1 with value (4 13) 28 with value (4 50) 106 with value (4 70)
% 155.52/155.76 ; 1 with value (4 14) 18 with value (4 51) 67 with value (4 71)
% 155.52/155.76 ; 1 with value (4 16) 3 with value (4 52) 19 with value (4 72)
% 155.52/155.76 ; 1 with value (4 17) 2 with value (4 53) 1 with value (4 73)
% 155.52/155.76 ; 1 with value (4 18) 46 with value (4 54) 3 with value (4 74)
% 155.52/155.76 ; 1 with value (4 19) 24 with value (4 55) 1 with value (4 75)
% 155.52/155.76 ; 1 with value (4 23) 2 with value (4 56) 4 with value (4 76)
% 155.52/155.76 ; 1 with value (4 29) 64 with value (4 58) 22 with value (4 78)
% 155.52/155.76 ; 1 with value (4 35) 29 with value (4 59) 47 with value (4 79)
% 155.52/155.76 ; 3 with value (4 41) 4 with value (4 60) 74 with value (4 80)
% 155.52/155.76 ; 8 with value (4 42) 6 with value (4 61) 1 with value (4 84)
% 155.52/155.76 ; 14 with value (4 43) 110 with value (4 62) 1 with value (4 85)
% 155.52/155.76 ; 7 with value (4 44) 36 with value (4 63) 2 with value (4 90)
% 155.52/155.76 ; 12 with value (4 45) 20 with value (4 64) 2 with value (4 94)
% 155.52/155.76 Evaluation took:
% 155.52/155.76 155.287 seconds of real time
% 155.52/155.76 151.4355 seconds of user run time
% 155.52/155.76 3.845731 seconds of system run time
% 155.52/155.76 [Run times include 6.794 seconds GC run time.]
% 155.52/155.76 0 calls to %EVAL
% 155.52/155.76 0 page faults and
% 155.52/155.76 20,193,731,152 bytes consed.
% 155.52/155.76 :PROOF-FOUND
% 155.52/155.76 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T17:53:49
% 155.52/155.76 :PROOF-FOUND
% 155.52/155.76 *
%------------------------------------------------------------------------------