TSTP Solution File: SWV258-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV258-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 21:32:22 EDT 2022
% Result : Unsatisfiable 28.42s 28.59s
% Output : Refutation 28.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 13 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X,X,tc_set(Y)),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
cnf(cls_Set_Oinsert__subset_2,axiom,
( ~ c_in(X,Y,Z)
| ~ c_lessequals(U,Y,tc_set(Z))
| c_lessequals(c_insert(X,U,Z),Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__subset_2) ).
cnf(cls_Message_Oparts__subset__iff_0,axiom,
( ~ c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg))
| c_lessequals(X,c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
cnf(cls_Message_Oparts__subset__iff_1,axiom,
( ~ c_lessequals(X,c_Message_Oparts(Y),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(5095,plain,
c_lessequals(X,c_Message_Oparts(X),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts__subset__iff_0,cls_Set_Osubset__refl_0]) ).
cnf(5098,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts__subset__iff_1,cls_conjecture_1]) ).
cnf(29937,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Set_Oinsert__subset_2,5095,cls_conjecture_0]),5098]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV258-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n008.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 : Tue Jun 14 14:27:37 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 *
% 0.20/0.48 ((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 2022-06-14T14:27:37
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-14T14:27:37
% 0.64/0.84
% 0.64/0.85 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.71/0.87 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.71/0.87 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.90 WARNING:
% 0.74/0.90 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.91 WARNING:
% 0.74/0.91 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/0.91 WARNING:
% 0.74/0.91 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 28.42/28.59 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 28.42/28.59
% 28.42/28.59 #||
% 28.42/28.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.42/28.59 % SZS output start Refutation
% See solution above
% 28.42/28.59 ||#
% 28.42/28.59
% 28.42/28.59 ; Summary of computation:
% 28.42/28.59 ; 62830 formulas have been input or derived (from 2413 formulas).
% 28.42/28.59 ; 29937 (48%) were retained. Of these,
% 28.42/28.59 ; 3355 (11%) were simplified or subsumed later,
% 28.42/28.59 ; 26582 (89%) are still being kept.
% 28.42/28.59 ;
% 28.42/28.59 ; Run time in seconds:
% 28.42/28.59 ; 0.340 1% Read assertion file (1 call)
% 28.42/28.59 ; 0.044 0% Assert (2,779 calls)
% 28.42/28.59 ; 4.780 17% Process new row (55,591 calls)
% 28.42/28.59 ; 12.057 43% Resolution (4,824 calls)
% 28.42/28.59 ; 0.234 1% Paramodulation (2,412 calls)
% 28.42/28.59 ; 0.000 0% Factoring (74 calls)
% 28.42/28.59 ; 0.179 1% Condensing (13,414 calls)
% 28.42/28.59 ; 3.632 13% Forward subsumption (13,414 calls)
% 28.42/28.59 ; 1.305 5% Backward subsumption (10,590 calls)
% 28.42/28.59 ; 0.087 0% Clause clause subsumption (18,199 calls)
% 28.42/28.59 ; 3.320 12% Forward simplification (54,227 calls)
% 28.42/28.59 ; 1.216 4% Backward simplification (29,794 calls)
% 28.42/28.59 ; 0.641 2% Ordering (68,295 calls)
% 28.42/28.59 ; 0.000 0% Sortal reasoning (32 calls)
% 28.42/28.59 ; 0.021 0% Purity testing (1 call)
% 28.42/28.59 ; 0.249 1% Other
% 28.42/28.59 ; 28.105 Total
% 28.42/28.59 ; 28.111 Real time
% 28.42/28.60 ;
% 28.42/28.61 ; Term-hash-array has 79,842 terms in all.
% 28.42/28.61 ; Feature-vector-row-index has 8,742 entries (8,765 at peak, 10,590 added, 1,848 deleted).
% 28.42/28.61 ; Feature-vector-row-index has 73,188 nodes (73,407 at peak, 91,878 added, 18,690 deleted).
% 28.42/28.61 ; Retrieved 31,410 possibly forward subsuming rows in 13,414 calls.
% 28.42/28.61 ; Retrieved 6,885 possibly backward subsumed rows in 10,590 calls.
% 28.42/28.61 ; Path-index has 72,531 entries (72,666 at peak, 81,705 added, 9,174 deleted).
% 28.42/28.61 ; Path-index has 175,897 nodes (175,940 at peak, 187,895 added, 11,998 deleted).
% 28.42/28.61 ; Trie-index has 72,531 entries (72,666 at peak, 81,705 added, 9,174 deleted).
% 28.42/28.61 ; Trie-index has 519,672 nodes (520,467 at peak, 583,530 added, 63,858 deleted).
% 28.42/28.61 ; Retrieved 170,642 generalization terms in 425,046 calls.
% 28.42/28.61 ; Retrieved 29,825 instance terms in 19,759 calls.
% 28.42/28.61 ; Retrieved 12,962,296 unifiable terms in 58,721 calls.
% 28.42/28.61 ;
% 28.42/28.61 ; The agenda of rows to process has 88 entries:
% 28.42/28.61 ; 11 with value 13 1 with value 19 1 with value 26
% 28.42/28.61 ; 18 with value 14 10 with value 20 2 with value 27
% 28.42/28.61 ; 17 with value 15 4 with value 21 3 with value 31
% 28.42/28.61 ; 2 with value 16 1 with value 22 1 with value 49
% 28.42/28.61 ; 1 with value 17 2 with value 23 1 with value 55
% 28.42/28.61 ; 10 with value 18 3 with value 24
% 28.42/28.61 ; The agenda of rows to give has 24377 entries:
% 28.42/28.61 ; 1 with value (4 8) 98 with value (4 60) 10 with value (4 111)
% 28.42/28.61 ; 24 with value (4 9) 63 with value (4 61) 13 with value (4 112)
% 28.42/28.61 ; 278 with value (4 10) 86 with value (4 62) 13 with value (4 113)
% 28.42/28.61 ; 427 with value (4 11) 78 with value (4 63) 4 with value (4 114)
% 28.42/28.61 ; 1009 with value (4 12) 81 with value (4 64) 9 with value (4 115)
% 28.42/28.61 ; 927 with value (4 13) 58 with value (4 65) 5 with value (4 116)
% 28.42/28.61 ; 1374 with value (4 14) 85 with value (4 66) 3 with value (4 117)
% 28.42/28.61 ; 602 with value (4 15) 100 with value (4 67) 7 with value (4 118)
% 28.42/28.61 ; 953 with value (4 16) 74 with value (4 68) 11 with value (4 119)
% 28.42/28.61 ; 880 with value (4 17) 89 with value (4 69) 4 with value (4 120)
% 28.42/28.61 ; 984 with value (4 18) 83 with value (4 70) 2 with value (4 121)
% 28.42/28.61 ; 479 with value (4 19) 82 with value (4 71) 5 with value (4 122)
% 28.42/28.61 ; 643 with value (4 20) 76 with value (4 72) 2 with value (4 123)
% 28.42/28.61 ; 677 with value (4 21) 61 with value (4 73) 6 with value (4 124)
% 28.42/28.61 ; 1279 with value (4 22) 77 with value (4 74) 2 with value (4 125)
% 28.42/28.61 ; 783 with value (4 23) 67 with value (4 75) 2 with value (4 126)
% 28.42/28.61 ; 670 with value (4 24) 66 with value (4 76) 2 with value (4 127)
% 28.42/28.61 ; 779 with value (4 25) 79 with value (4 77) 3 with value (4 128)
% 28.42/28.61 ; 538 with value (4 26) 46 with value (4 78) 3 with value (4 129)
% 28.42/28.61 ; 534 with value (4 27) 66 with value (4 79) 2 with value (4 131)
% 28.42/28.61 ; 633 with value (4 28) 64 with value (4 80) 4 with value (4 133)
% 28.42/28.61 ; 461 with value (4 29) 44 with value (4 81) 5 with value (4 134)
% 28.42/28.61 ; 586 with value (4 30) 47 with value (4 82) 2 with value (4 137)
% 28.42/28.61 ; 446 with value (4 31) 33 with value (4 83) 2 with value (4 138)
% 28.42/28.61 ; 504 with value (4 32) 36 with value (4 84) 1 with value (4 140)
% 28.42/28.61 ; 387 with value (4 33) 46 with value (4 85) 2 with value (4 141)
% 28.42/28.61 ; 271 with value (4 34) 34 with value (4 86) 1 with value (4 142)
% 28.42/28.61 ; 364 with value (4 35) 41 with value (4 87) 1 with value (4 145)
% 28.42/28.61 ; 211 with value (4 36) 34 with value (4 88) 5 with value (4 152)
% 28.42/28.61 ; 260 with value (4 37) 21 with value (4 89) 2 with value (4 154)
% 28.42/28.61 ; 305 with value (4 38) 35 with value (4 90) 1 with value (4 157)
% 28.42/28.61 ; 461 with value (4 39) 27 with value (4 91) 3 with value (4 164)
% 28.42/28.61 ; 231 with value (4 40) 13 with value (4 92) 1 with value (4 165)
% 28.42/28.61 ; 365 with value (4 41) 43 with value (4 93) 1 with value (4 169)
% 28.42/28.61 ; 412 with value (4 42) 20 with value (4 94) 2 with value (4 171)
% 28.42/28.61 ; 281 with value (4 43) 23 with value (4 95) 2 with value (4 176)
% 28.42/28.61 ; 179 with value (4 44) 29 with value (4 96) 2 with value (4 178)
% 28.42/28.61 ; 137 with value (4 45) 23 with value (4 97) 4 with value (4 180)
% 28.42/28.61 ; 133 with value (4 46) 10 with value (4 98) 1 with value (4 185)
% 28.42/28.61 ; 116 with value (4 47) 27 with value (4 99) 2 with value (4 186)
% 28.42/28.61 ; 140 with value (4 48) 15 with value (4 100) 2 with value (4 195)
% 28.42/28.61 ; 191 with value (4 49) 15 with value (4 101) 1 with value (4 202)
% 28.42/28.61 ; 107 with value (4 50) 9 with value (4 102) 2 with value (4 203)
% 28.42/28.61 ; 107 with value (4 51) 13 with value (4 103) 2 with value (4 205)
% 28.42/28.61 ; 168 with value (4 52) 10 with value (4 104) 1 with value (4 208)
% 28.42/28.61 ; 105 with value (4 53) 24 with value (4 105) 2 with value (4 213)
% 28.42/28.61 ; 113 with value (4 54) 5 with value (4 106) 2 with value (4 220)
% 28.42/28.61 ; 87 with value (4 55) 10 with value (4 107) 1 with value (4 225)
% 28.42/28.61 ; 104 with value (4 56) 13 with value (4 108) 2 with value (4 244)
% 28.42/28.61 ; 66 with value (4 57) 17 with value (4 109) 2 with value (4 274)
% 28.42/28.61 ; 64 with value (4 58) 12 with value (4 110) 1 with value (4 321)
% 28.42/28.61 ; 63 with value (4 59)
% 28.42/28.61 Evaluation took:
% 28.42/28.61 28.122 seconds of real time
% 28.42/28.61 26.640532 seconds of user run time
% 28.42/28.61 1.476925 seconds of system run time
% 28.42/28.61 [Run times include 6.962 seconds GC run time.]
% 28.42/28.61 0 calls to %EVAL
% 28.42/28.61 0 page faults and
% 28.42/28.61 1,633,221,680 bytes consed.
% 28.42/28.61 :PROOF-FOUND
% 28.42/28.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T14:28:05
% 28.42/28.61 :PROOF-FOUND
% 28.42/28.61 *
%------------------------------------------------------------------------------