%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 : 300s
% DateTime : Sun Apr 6 10:09:20 AM UTC 2025
% Result : Theorem 127.90s 128.15s
% Output : Refutation 127.90s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named theoryFOR-$$LESSEQ'ODE-FOR-$$LESSEQ')
% Comments :
%------------------------------------------------------------------------------
tff(6,axiom,
! [X: $int,Y: $int] :
( ( f__integer__(X) != f__integer__(Y) )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',f__integer__def_ax) ).
tff(22,axiom,
! [X: $int,Y: $int] :
( ~ p__less_equal__(f__integer__(X),f__integer__(Y))
| $lesseq(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',numeral_ordering_ax) ).
tff(26,axiom,
! [X: general,Y: general] :
( p__less_equal__(X,Y)
| p__less_equal__(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',strongly_connected_ordering_ax) ).
tff(29,axiom,
! [X: general,Y: general] :
( p__less__(X,Y)
| ~ p__less_equal__(X,Y)
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',p__less__def_ax) ).
tff(34,axiom,
! [X: general,Y: general] :
( p__greater__(X,Y)
| ~ p__less_equal__(Y,X)
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',p__greater__def_ax) ).
tff(39,axiom,
! [X: general,Y: general,Z: general,U: general,V: general,W: general] :
( ( X != Y )
| ( Z != Y )
| ( U != f__integer__(3) )
| ~ p__greater__(Z,U)
| ( V != Y )
| ( W != f__integer__(5) )
| ~ p__less__(V,W)
| hp(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1_left_0) ).
tff(40,axiom,
! [X: general,Y: general,Z: general,U: general,V: general,W: general] :
( ( X != Y )
| ( Z != Y )
| ( U != f__integer__(3) )
| ~ p__greater__(Z,U)
| ( V != Y )
| ( W != f__integer__(5) )
| ~ p__less__(V,W)
| tp(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1_left_0) ).
tff(41,negated_conjecture,
'SKOLEMAAAV3.general' = f__integer__(4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2_right_0) ).
tff(42,negated_conjecture,
( ~ hp('SKOLEMAAAV3.general')
| ~ tp('SKOLEMAAAV3.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2_right_0) ).
tff(60,plain,
! [X: $int] :
( ( 'SKOLEMAAAV3.general' != f__integer__(X) )
| ( 4 = X ) ),
inference('PARAMODULATE',[status(thm)],[6,41,theory(equality)]) ).
tff(61,plain,
! [X: $int] :
( ~ p__less_equal__('SKOLEMAAAV3.general',f__integer__(X))
| $lesseq(4,X) ),
inference('PARAMODULATE',[status(thm)],[22,41,theory(equality)]) ).
tff(62,plain,
! [X: $int] :
( ~ p__less_equal__(f__integer__(X),'SKOLEMAAAV3.general')
| $lesseq(X,4) ),
inference('PARAMODULATE',[status(thm)],[22,41,theory(equality)]) ).
tff(181,plain,
! [X: $int] :
( p__less_equal__(f__integer__(X),'SKOLEMAAAV3.general')
| $lesseq(4,X) ),
inference('HYPERRESOLVE',[status(thm)],[61,26]) ).
tff(183,plain,
! [X: $int] :
( p__less_equal__('SKOLEMAAAV3.general',f__integer__(X))
| $lesseq(X,4) ),
inference('HYPERRESOLVE',[status(thm)],[62,26]) ).
tff(273,plain,
! [X: $int] :
( $lesseq(4,X)
| p__greater__('SKOLEMAAAV3.general',f__integer__(X))
| ( 'SKOLEMAAAV3.general' = f__integer__(X) ) ),
inference('HYPERRESOLVE',[status(thm)],[34,181]) ).
tff(279,plain,
! [X: $int] :
( $lesseq(X,4)
| p__less__('SKOLEMAAAV3.general',f__integer__(X))
| ( 'SKOLEMAAAV3.general' = f__integer__(X) ) ),
inference('HYPERRESOLVE',[status(thm)],[29,183]) ).
tff(6703,plain,
( ( 'SKOLEMAAAV3.general' = f__integer__(5) )
| ( 'SKOLEMAAAV3.general' = f__integer__(3) )
| tp('SKOLEMAAAV3.general') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[40,279,273,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$LESSEQ']) ).
tff(6704,plain,
( ( 'SKOLEMAAAV3.general' = f__integer__(5) )
| ( 'SKOLEMAAAV3.general' = f__integer__(3) )
| hp('SKOLEMAAAV3.general') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[39,279,273,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$LESSEQ']) ).
tff(8686,plain,
( ( 'SKOLEMAAAV3.general' = f__integer__(5) )
| ( 'SKOLEMAAAV3.general' = f__integer__(3) ) ),
inference('HYPERRESOLVE',[status(thm)],[42,6704,6703]) ).
tff(8687,plain,
'SKOLEMAAAV3.general' = f__integer__(3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[60,8686]),theory(equality)]) ).
cnf(9278,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[60,8687]),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 : 300
% 0.13/0.34 % DateTime : Sun Apr 6 03:04:51 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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/sandbox/benchmark/theBenchmark.p 2025-04-06T03:04:51
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2025-04-06T03:04:51
% 127.90/128.15
% 127.90/128.15
% 127.90/128.15 #||
% 127.90/128.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 127.90/128.15 % SZS output start Refutation
% See solution above
% 127.90/128.16 ||#
% 127.90/128.16
% 127.90/128.16 ; Summary of computation:
% 127.90/128.16 ; 855908 formulas have been input or derived (from 430 formulas).
% 127.90/128.16 ; 9278 ( 1%) were retained. Of these,
% 127.90/128.16 ; 876 ( 9%) were simplified or subsumed later,
% 127.90/128.16 ; 8402 (91%) are still being kept.
% 127.90/128.16 ;
% 127.90/128.16 ; Run time in seconds excluding printing time:
% 127.90/128.16 ; 0.007 0% Read assertion file (1 call)
% 127.90/128.16 ; 0.002 0% Assert (18 calls)
% 127.90/128.16 ; 2.299 2% Process new row (585,385 calls)
% 127.90/128.16 ; 58.990 46% Resolution (858 calls)
% 127.90/128.16 ; 0.012 0% Paramodulation (429 calls)
% 127.90/128.16 ; 0.003 0% Factoring (298 calls)
% 127.90/128.16 ; 3.898 3% Condensing (195,664 calls)
% 127.90/128.16 ; 25.773 20% Forward subsumption (195,664 calls)
% 127.90/128.16 ; 0.578 0% Backward subsumption (9,184 calls)
% 127.90/128.16 ; 16.677 13% Clause clause subsumption (2,248,467 calls)
% 127.90/128.16 ; 14.385 11% Forward simplification (412,295 calls)
% 127.90/128.16 ; 0.036 0% Backward simplification (9,278 calls)
% 127.90/128.16 ; 1.371 1% Ordering (943,545 calls)
% 127.90/128.16 ; 1.885 1% Sortal reasoning (2,658,234 calls)
% 127.90/128.16 ; 0.000 0% Purity testing (1 call)
% 127.90/128.16 ; 1.724 1% Other
% 127.90/128.16 ; 127.640 Total
% 127.90/128.16 ; 127.675 Real time
% 127.90/128.16 ;
% 127.90/128.16 ; Term-hash-array has 984 terms in all.
% 127.90/128.16 ; Feature-vector-row-index has 8,311 entries (8,311 at peak, 9,184 added, 873 deleted).
% 127.90/128.16 ; Feature-vector-row-index has 10,969 nodes (12,136 at peak, 15,881 added, 4,912 deleted).
% 127.90/128.16 ; Retrieved 22,509,408 possibly forward subsuming rows in 195,664 calls.
% 127.90/128.16 ; Retrieved 116,689 possibly backward subsumed rows in 9,184 calls.
% 127.90/128.16 ; Path-index has 958 entries (958 at peak, 1,318 added, 360 deleted).
% 127.90/128.16 ; Path-index has 194 nodes (196 at peak, 527 added, 333 deleted).
% 127.90/128.16 ; Trie-index has 958 entries (958 at peak, 1,318 added, 360 deleted).
% 127.90/128.16 ; Trie-index has 349 nodes (360 at peak, 705 added, 356 deleted).
% 127.90/128.16 ; Retrieved 1,163,029 generalization terms in 2,725,685 calls.
% 127.90/128.16 ; Retrieved 108 instance terms in 93 calls.
% 127.90/128.16 ; Retrieved 11,611,413 unifiable terms in 203,165 calls.
% 127.90/128.16 ;
% 127.90/128.16 ; The agenda of rows to process has 221952 entries:
% 127.90/128.16 ; 16 with value 11 1418 with value 35 10238 with value 56
% 127.90/128.16 ; 1 with value 12 5716 with value 36 1892 with value 57
% 127.90/128.16 ; 14 with value 13 2474 with value 37 8568 with value 58
% 127.90/128.16 ; 1 with value 14 6114 with value 38 2404 with value 59
% 127.90/128.16 ; 23 with value 15 2708 with value 39 10674 with value 60
% 127.90/128.16 ; 28 with value 17 8166 with value 40 2094 with value 61
% 127.90/128.16 ; 70 with value 19 2538 with value 41 8456 with value 62
% 127.90/128.16 ; 1 with value 20 12246 with value 42 924 with value 63
% 127.90/128.16 ; 34 with value 21 2700 with value 43 3758 with value 64
% 127.90/128.16 ; 10 with value 22 16224 with value 44 760 with value 65
% 127.90/128.16 ; 2 with value 23 3250 with value 45 1706 with value 66
% 127.90/128.16 ; 42 with value 24 15314 with value 46 1136 with value 67
% 127.90/128.16 ; 8 with value 25 2976 with value 47 1932 with value 68
% 127.90/128.16 ; 164 with value 26 13272 with value 48 786 with value 69
% 127.90/128.16 ; 152 with value 27 2842 with value 49 2084 with value 70
% 127.90/128.16 ; 218 with value 28 14800 with value 50 190 with value 71
% 127.90/128.16 ; 470 with value 29 3054 with value 51 928 with value 72
% 127.90/128.16 ; 576 with value 30 18096 with value 52 112 with value 73
% 127.90/128.16 ; 636 with value 31 2666 with value 53 174 with value 74
% 127.90/128.16 ; 1568 with value 32 15854 with value 54 256 with value 75
% 127.90/128.16 ; 858 with value 33 1756 with value 55 184 with value 77
% 127.90/128.16 ; 3620 with value 34
% 127.90/128.16 ; The agenda of rows to give has 7980 entries:
% 127.90/128.16 ; 83 with value (4 20) 18 with value (4 42) 36 with value (4 62)
% 127.90/128.16 ; 161 with value (4 21) 16 with value (4 43) 38 with value (4 63)
% 127.90/128.16 ; 184 with value (4 22) 2 with value (4 44) 26 with value (4 64)
% 127.90/128.16 ; 127 with value (4 23) 18 with value (4 45) 100 with value (4 65)
% 127.90/128.16 ; 155 with value (4 24) 22 with value (4 46) 48 with value (4 66)
% 127.90/128.16 ; 259 with value (4 25) 18 with value (4 47) 70 with value (4 67)
% 127.90/128.16 ; 798 with value (4 26) 12 with value (4 48) 28 with value (4 68)
% 127.90/128.16 ; 329 with value (4 27) 92 with value (4 49) 30 with value (4 69)
% 127.90/128.16 ; 374 with value (4 28) 36 with value (4 50) 22 with value (4 70)
% 127.90/128.16 ; 689 with value (4 29) 22 with value (4 51) 8 with value (4 71)
% 127.90/128.16 ; 1607 with value (4 30) 22 with value (4 52) 22 with value (4 72)
% 127.90/128.16 ; 807 with value (4 31) 34 with value (4 53) 20 with value (4 73)
% 127.90/128.16 ; 778 with value (4 32) 30 with value (4 54) 16 with value (4 74)
% 127.90/128.16 ; 147 with value (4 33) 44 with value (4 55) 30 with value (4 75)
% 127.90/128.16 ; 116 with value (4 34) 34 with value (4 56) 6 with value (4 76)
% 127.90/128.16 ; 18 with value (4 35) 106 with value (4 57) 6 with value (4 77)
% 127.90/128.16 ; 32 with value (4 36) 48 with value (4 58) 4 with value (4 78)
% 127.90/128.16 ; 10 with value (4 38) 52 with value (4 59) 4 with value (4 79)
% 127.90/128.16 ; 8 with value (4 39) 44 with value (4 60) 6 with value (4 80)
% 127.90/128.16 ; 52 with value (4 41) 52 with value (4 61) 4 with value (4 82)
% 127.90/128.16 Evaluation took:
% 127.90/128.16 127.677 seconds of real time
% 127.90/128.16 118.52092 seconds of user run time
% 127.90/128.16 9.122209 seconds of system run time
% 127.90/128.16 [Run times include 8.022 seconds GC run time.]
% 127.90/128.16 0 calls to %EVAL
% 127.90/128.16 0 page faults and
% 127.90/128.16 11,584,124,904 bytes consed.
% 127.90/128.16 :PROOF-FOUND
% 127.90/128.16 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T03:06:58
% 127.90/128.16 :PROOF-FOUND
% 127.90/128.16 *
%------------------------------------------------------------------------------