%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV406+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 21:33:12 EDT 2022
% Result : Theorem 9.45s 9.60s
% Output : Refutation 9.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 33 ( 11 unt; 13 nHn; 23 RR)
% Number of literals : 64 ( 8 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 62 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( less_than(X,Y)
| less_than(Y,X) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).
cnf(32,axiom,
( ~ less_than(X,Y)
| ~ check_cpq(triple(Z,insert_slb(U,pair(Y,X)),V))
| check_cpq(triple(Z,U,V)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax37) ).
cnf(33,axiom,
( ~ less_than(X,Y)
| check_cpq(triple(Z,insert_slb(U,pair(Y,X)),V))
| ~ check_cpq(triple(Z,U,V)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax37) ).
cnf(34,axiom,
( ~ strictly_less_than(X,Y)
| ~ check_cpq(triple(Z,insert_slb(U,pair(X,Y)),V)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax38) ).
cnf(51,negated_conjecture,
( ~ check_cpq(triple(X,'SKOLEMAAAV1',Y))
| ~ pair_in_list('SKOLEMAAAV1',Z,U)
| less_than(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l42_co) ).
cnf(52,negated_conjecture,
( check_cpq(triple(X,'SKOLEMAAAV1',Y))
| pair_in_list('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l42_co) ).
cnf(53,negated_conjecture,
( check_cpq(triple(X,'SKOLEMAAAV1',Y))
| ~ less_than('SKOLEMAAAV3','SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l42_co) ).
cnf(54,negated_conjecture,
( ~ check_cpq(triple('SKOLEMAAAV4',insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV5'))
| pair_in_list(insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV8','SKOLEMAAAV9') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l42_co) ).
cnf(55,negated_conjecture,
( ~ check_cpq(triple('SKOLEMAAAV4',insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV5'))
| ~ less_than('SKOLEMAAAV9','SKOLEMAAAV8') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l42_co) ).
cnf(56,negated_conjecture,
( check_cpq(triple('SKOLEMAAAV4',insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV5'))
| ~ pair_in_list(insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),X,Y)
| less_than(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l42_co) ).
cnf(66,plain,
( less_than(X,Y)
| strictly_less_than(Y,X) ),
inference('HYPERRESOLVE',[status(thm)],[6,2]) ).
cnf(81,plain,
( check_cpq(triple(X,'SKOLEMAAAV1',Y))
| pair_in_list(insert_slb('SKOLEMAAAV1',pair(Z,U)),'SKOLEMAAAV2','SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[17,52]) ).
cnf(87,plain,
pair_in_list(insert_slb(X,pair(Y,Z)),Y,Z),
inference('HYPERRESOLVE',[status(thm)],[18,theory(equality),theory(equality)]) ).
cnf(230,plain,
( check_cpq(triple('SKOLEMAAAV4',insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV5'))
| less_than('SKOLEMAAAV7','SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[56,87]) ).
cnf(1898,plain,
( check_cpq(triple(X,'SKOLEMAAAV1',Y))
| check_cpq(triple('SKOLEMAAAV4',insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV5'))
| less_than('SKOLEMAAAV3','SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[56,81]) ).
cnf(22416,plain,
( check_cpq(triple('SKOLEMAAAV4',insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV5'))
| check_cpq(triple(X,'SKOLEMAAAV1',Y)) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[53,1898])]) ).
cnf(22438,plain,
check_cpq(triple('SKOLEMAAAV4',insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV5')),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[33,22416,230])]) ).
cnf(22439,plain,
pair_in_list(insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV8','SKOLEMAAAV9'),
inference('REWRITE',[status(thm)],[54,22438]) ).
cnf(22440,plain,
~ less_than('SKOLEMAAAV9','SKOLEMAAAV8'),
inference('REWRITE',[status(thm)],[55,22438]) ).
cnf(22455,plain,
( pair_in_list('SKOLEMAAAV1','SKOLEMAAAV8','SKOLEMAAAV9')
| 'SKOLEMAAAV7' = 'SKOLEMAAAV9' ),
inference('HYPERRESOLVE',[status(thm)],[16,22439]) ).
cnf(22456,plain,
( pair_in_list('SKOLEMAAAV1','SKOLEMAAAV8','SKOLEMAAAV9')
| 'SKOLEMAAAV6' = 'SKOLEMAAAV8' ),
inference('HYPERRESOLVE',[status(thm)],[15,22439]) ).
cnf(22713,plain,
less_than('SKOLEMAAAV7','SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[34,22438,66]) ).
cnf(22745,plain,
check_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV1','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[32,22713,22438]) ).
cnf(22779,plain,
~ pair_in_list('SKOLEMAAAV1','SKOLEMAAAV8','SKOLEMAAAV9'),
inference('UR-RESOLVE',[status(thm)],[51,22745,22440]) ).
cnf(22780,plain,
'SKOLEMAAAV7' = 'SKOLEMAAAV9',
inference('REWRITE',[status(thm)],[22455,22779]) ).
cnf(22785,plain,
~ less_than('SKOLEMAAAV7','SKOLEMAAAV8'),
inference('REWRITE',[status(thm)],[22440,22780,theory(equality)]) ).
cnf(22990,plain,
'SKOLEMAAAV6' = 'SKOLEMAAAV8',
inference('REWRITE',[status(thm)],[22456,22779]) ).
cnf(22994,plain,
$false,
inference('REWRITE',[status(thm)],[22785,22713,22990,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV406+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 : Wed Jun 15 09:43:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T09:43:18
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-15T09:43:18
% 9.45/9.60
% 9.45/9.60
% 9.45/9.60 #||
% 9.45/9.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.45/9.60 % SZS output start Refutation
% See solution above
% 9.45/9.61 ||#
% 9.45/9.61
% 9.45/9.61 ; Summary of computation:
% 9.45/9.61 ; 97441 formulas have been input or derived (from 5123 formulas).
% 9.45/9.61 ; 22994 (24%) were retained. Of these,
% 9.45/9.61 ; 617 ( 3%) were simplified or subsumed later,
% 9.45/9.61 ; 22377 (97%) are still being kept.
% 9.45/9.61 ;
% 9.45/9.61 ; Run time in seconds excluding printing time:
% 9.45/9.61 ; 0.012 0% Read assertion file (1 call)
% 9.45/9.61 ; 0.002 0% Assert (42 calls)
% 9.45/9.61 ; 1.907 21% Process new row (96,382 calls)
% 9.45/9.61 ; 0.600 7% Resolution (10,244 calls)
% 9.45/9.61 ; 2.226 24% Paramodulation (5,122 calls)
% 9.45/9.61 ; 0.001 0% Factoring (47 calls)
% 9.45/9.61 ; 0.410 4% Condensing (4,270 calls)
% 9.45/9.61 ; 0.433 5% Forward subsumption (4,269 calls)
% 9.45/9.61 ; 0.099 1% Backward subsumption (1,716 calls)
% 9.45/9.61 ; 0.302 3% Clause clause subsumption (14,260 calls)
% 9.45/9.61 ; 2.306 25% Forward simplification (96,222 calls)
% 9.45/9.61 ; 0.171 2% Backward simplification (22,994 calls)
% 9.45/9.61 ; 0.271 3% Ordering (180,120 calls)
% 9.45/9.61 ; 0.000 0% Sortal reasoning (32 calls)
% 9.45/9.61 ; 0.000 0% Purity testing (1 call)
% 9.45/9.61 ; 0.391 4% Other
% 9.45/9.61 ; 9.131 Total
% 9.45/9.61 ; 9.135 Real time
% 9.45/9.61 ;
% 9.45/9.61 ; Term-hash-array has 46,044 terms in all.
% 9.45/9.61 ; Feature-vector-row-index has 1,211 entries (1,435 at peak, 1,716 added, 505 deleted).
% 9.45/9.61 ; Feature-vector-row-index has 13,689 nodes (16,322 at peak, 19,635 added, 5,946 deleted).
% 9.45/9.61 ; Retrieved 29,655 possibly forward subsuming rows in 4,269 calls.
% 9.45/9.61 ; Retrieved 851 possibly backward subsumed rows in 1,716 calls.
% 9.45/9.61 ; Path-index has 44,838 entries (45,503 at peak, 46,470 added, 1,632 deleted).
% 9.45/9.61 ; Path-index has 129,625 nodes (129,716 at peak, 129,937 added, 312 deleted).
% 9.45/9.61 ; Trie-index has 44,838 entries (45,503 at peak, 46,470 added, 1,632 deleted).
% 9.45/9.61 ; Trie-index has 209,662 nodes (210,631 at peak, 212,152 added, 2,490 deleted).
% 9.45/9.61 ; Retrieved 540,947 generalization terms in 569,783 calls.
% 9.45/9.61 ; Retrieved 21,379 instance terms in 21,281 calls.
% 9.45/9.61 ; Retrieved 141,014 unifiable terms in 65,107 calls.
% 9.45/9.61 ;
% 9.45/9.61 ; The agenda of backward simplifiable rows to process has 196 entries:
% 9.45/9.61 ; 196 with value 0
% 9.45/9.61 ; The agenda of rows to process has 47 entries:
% 9.45/9.61 ; 1 with value 12 6 with value 28 5 with value 36
% 9.45/9.61 ; 2 with value 15 1 with value 31 2 with value 37
% 9.45/9.61 ; 1 with value 18 4 with value 32 2 with value 38
% 9.45/9.61 ; 8 with value 20 1 with value 33 6 with value 39
% 9.45/9.61 ; 3 with value 24 3 with value 35 1 with value 40
% 9.45/9.61 ; 1 with value 27
% 9.45/9.61 ; The agenda of rows to give has 17284 entries:
% 9.45/9.61 ; 3 with value (4 5) 5 with value (4 53) 9 with value (4 91)
% 9.45/9.61 ; 1 with value (4 6) 4 with value (4 54) 11 with value (4 92)
% 9.45/9.61 ; 1 with value (4 14) 10 with value (4 55) 18 with value (4 93)
% 9.45/9.61 ; 1 with value (4 16) 4 with value (4 56) 17 with value (4 94)
% 9.45/9.61 ; 1 with value (4 18) 4 with value (4 57) 14 with value (4 95)
% 9.45/9.61 ; 2 with value (4 19) 12 with value (4 58) 8 with value (4 96)
% 9.45/9.61 ; 2 with value (4 20) 5 with value (4 59) 11 with value (4 97)
% 9.45/9.61 ; 4 with value (4 22) 6 with value (4 60) 14 with value (4 98)
% 9.45/9.61 ; 6 with value (4 23) 5 with value (4 61) 12 with value (4 99)
% 9.45/9.61 ; 6 with value (4 24) 7 with value (4 62) 3 with value (4 100)
% 9.45/9.61 ; 1 with value (4 25) 9 with value (4 63) 8 with value (4 101)
% 9.45/9.61 ; 2242 with value (4 26) 5 with value (4 64) 8 with value (4 102)
% 9.45/9.61 ; 3577 with value (4 27) 8 with value (4 65) 6 with value (4 103)
% 9.45/9.61 ; 5502 with value (4 28) 7 with value (4 66) 4 with value (4 104)
% 9.45/9.61 ; 3366 with value (4 29) 2 with value (4 67) 3 with value (4 105)
% 9.45/9.61 ; 248 with value (4 30) 6 with value (4 68) 5 with value (4 106)
% 9.45/9.61 ; 343 with value (4 31) 9 with value (4 69) 3 with value (4 107)
% 9.45/9.61 ; 360 with value (4 32) 6 with value (4 70) 1 with value (4 108)
% 9.45/9.61 ; 460 with value (4 33) 9 with value (4 71) 3 with value (4 109)
% 9.45/9.61 ; 201 with value (4 34) 2 with value (4 72) 1 with value (4 110)
% 9.45/9.61 ; 22 with value (4 35) 6 with value (4 73) 1 with value (4 112)
% 9.45/9.61 ; 15 with value (4 36) 13 with value (4 74) 4 with value (4 113)
% 9.45/9.61 ; 34 with value (4 37) 4 with value (4 75) 6 with value (4 114)
% 9.45/9.61 ; 41 with value (4 38) 1 with value (4 76) 5 with value (4 115)
% 9.45/9.61 ; 56 with value (4 39) 3 with value (4 77) 3 with value (4 116)
% 9.45/9.61 ; 53 with value (4 40) 6 with value (4 78) 3 with value (4 118)
% 9.45/9.61 ; 60 with value (4 41) 2 with value (4 79) 1 with value (4 120)
% 9.45/9.61 ; 26 with value (4 42) 8 with value (4 80) 2 with value (4 121)
% 9.45/9.61 ; 23 with value (4 43) 11 with value (4 81) 2 with value (4 122)
% 9.45/9.61 ; 31 with value (4 44) 7 with value (4 82) 3 with value (4 123)
% 9.45/9.61 ; 37 with value (4 45) 9 with value (4 83) 2 with value (4 125)
% 9.45/9.61 ; 46 with value (4 46) 12 with value (4 84) 2 with value (4 128)
% 9.45/9.61 ; 9 with value (4 47) 4 with value (4 85) 2 with value (4 130)
% 9.45/9.61 ; 8 with value (4 48) 17 with value (4 86) 1 with value (4 132)
% 9.45/9.61 ; 6 with value (4 49) 8 with value (4 87) 1 with value (4 135)
% 9.45/9.61 ; 4 with value (4 50) 18 with value (4 88) 1 with value (4 137)
% 9.45/9.61 ; 3 with value (4 51) 16 with value (4 89) 1 with value (4 146)
% 9.45/9.61 ; 2 with value (4 52) 12 with value (4 90)
% 9.45/9.61 Evaluation took:
% 9.45/9.61 9.138 seconds of real time
% 9.45/9.61 8.321219 seconds of user run time
% 9.45/9.61 0.815706 seconds of system run time
% 9.45/9.61 [Run times include 1.671 seconds GC run time.]
% 9.45/9.61 0 calls to %EVAL
% 9.45/9.61 0 page faults and
% 9.45/9.61 710,442,144 bytes consed.
% 9.45/9.61 :PROOF-FOUND
% 9.45/9.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T09:43:27
% 9.45/9.61 :PROOF-FOUND
% 9.45/9.61 *
%------------------------------------------------------------------------------