%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX048+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 : Tue Apr 1 02:16:17 AM UTC 2025
% Result : Theorem 3.22s 3.45s
% Output : Refutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 12 unt; 1 nHn; 12 RR)
% Number of literals : 29 ( 11 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(76,axiom,
( occ_succeeds(X,Y,Z)
| Y != cons(U,V)
| X = U
| ~ occ_succeeds(X,V,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id49) ).
cnf(229,axiom,
( list_succeeds(X)
| X != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id73) ).
cnf(428,axiom,
list_succeeds(cons(X,nil)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom-(list:1)') ).
cnf(447,axiom,
'**'(nil,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom-(app:nil)') ).
cnf(448,axiom,
( ~ list_succeeds(X)
| '**'(cons(Y,X),Z) = cons(Y,'**'(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom-(app:cons)') ).
cnf(449,axiom,
( ~ list_succeeds(X)
| ~ list_succeeds(Y)
| list_succeeds('**'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom-(app:types:1)') ).
cnf(528,axiom,
( ~ list_succeeds(X)
| occ(Y,X) != Z
| occ_succeeds(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','occ/2') ).
cnf(529,axiom,
( ~ list_succeeds(X)
| occ(Y,X) = Z
| ~ occ_succeeds(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','occ/2') ).
cnf(550,negated_conjecture,
list_succeeds('SKOLEMAAAN134'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(occ:cons:diff)') ).
cnf(551,negated_conjecture,
'SKOLEMAAAN132' != 'SKOLEMAAAN133',
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(occ:cons:diff)') ).
cnf(552,negated_conjecture,
occ('SKOLEMAAAN132',cons('SKOLEMAAAN133','SKOLEMAAAN134')) != occ('SKOLEMAAAN132','SKOLEMAAAN134'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(occ:cons:diff)') ).
cnf(557,plain,
list_succeeds(nil),
inference('HYPERRESOLVE',[status(thm)],[229,theory(equality)]) ).
cnf(681,plain,
list_succeeds('**'(cons(X,nil),'SKOLEMAAAN134')),
inference('HYPERRESOLVE',[status(thm)],[449,428,550]) ).
cnf(837,plain,
occ_succeeds(X,'SKOLEMAAAN134',occ(X,'SKOLEMAAAN134')),
inference('HYPERRESOLVE',[status(thm)],[528,550,theory(equality)]) ).
cnf(1501,plain,
'**'(cons(X,nil),Y) = cons(X,Y),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[448,557]),447,theory(equality)]) ).
cnf(1835,plain,
occ('SKOLEMAAAN132','**'(cons('SKOLEMAAAN133',nil),'SKOLEMAAAN134')) != occ('SKOLEMAAAN132','SKOLEMAAAN134'),
inference('REWRITE',[status(thm)],[552,1501,theory(equality)]) ).
cnf(4048,plain,
occ_succeeds('SKOLEMAAAN132','**'(cons('SKOLEMAAAN133',nil),'SKOLEMAAAN134'),occ('SKOLEMAAAN132','SKOLEMAAAN134')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[76,837,551,theory(equality)]),1501,theory(equality)]) ).
cnf(6108,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[529,681,1835]),4048]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWX048+1 : TPTP v9.1.0. Released v9.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Mar 31 14:58:10 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-03-31T14:58:10
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2025-03-31T14:58:10
% 0.18/0.50
% 0.18/0.50 ; Recognized relation functionality assertion (OR (NOT (|plus_succeeds| ?X ?Y ?Z)) (NOT (|plus_succeeds| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.50 ; Recognized left identity assertion (= (@+ |0| ?X) ?X).
% 0.18/0.50 ; Recognized relation functionality assertion (OR (NOT (|times_succeeds| ?X ?Y ?Z)) (NOT (|times_succeeds| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.50 ; Recognized relation functionality assertion (OR (NOT (|append_succeeds| ?X ?Y ?Z)) (NOT (|append_succeeds| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.50 ; Recognized left identity assertion (= (** |nil| ?X) ?X).
% 3.22/3.45 ; Recognized relation functionality assertion (OR (NOT (|occ_succeeds| ?X ?Y ?Z)) (NOT (|occ_succeeds| ?X ?Y ?U)) (= ?Z ?U)).
% 3.22/3.45
% 3.22/3.45 #||
% 3.22/3.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/3.45 % SZS output start Refutation
% See solution above
% 3.22/3.46 ||#
% 3.22/3.46
% 3.22/3.46 ; Summary of computation:
% 3.22/3.46 ; 28682 formulas have been input or derived (from 1156 formulas).
% 3.22/3.46 ; 6108 (21%) were retained. Of these,
% 3.22/3.46 ; 985 (16%) were simplified or subsumed later,
% 3.22/3.46 ; 5123 (84%) are still being kept.
% 3.22/3.46 ;
% 3.22/3.46 ; Run time in seconds excluding printing time:
% 3.22/3.46 ; 0.028 1% Read assertion file (1 call)
% 3.22/3.46 ; 0.010 0% Assert (288 calls)
% 3.22/3.46 ; 0.433 14% Process new row (25,290 calls)
% 3.22/3.46 ; 1.429 48% Resolution (2,310 calls)
% 3.22/3.46 ; 0.048 2% Paramodulation (1,155 calls)
% 3.22/3.46 ; 0.001 0% Factoring (83 calls)
% 3.22/3.46 ; 0.028 1% Condensing (2,865 calls)
% 3.22/3.46 ; 0.155 5% Forward subsumption (2,865 calls)
% 3.22/3.46 ; 0.060 2% Backward subsumption (1,542 calls)
% 3.22/3.46 ; 0.013 0% Clause clause subsumption (2,807 calls)
% 3.22/3.46 ; 0.462 15% Forward simplification (24,891 calls)
% 3.22/3.46 ; 0.130 4% Backward simplification (6,108 calls)
% 3.22/3.46 ; 0.095 3% Ordering (49,105 calls)
% 3.22/3.46 ; 0.001 0% Sortal reasoning (32 calls)
% 3.22/3.46 ; 0.001 0% Purity testing (1 call)
% 3.22/3.46 ; 0.098 3% Other
% 3.22/3.46 ; 2.992 Total
% 3.22/3.46 ; 2.995 Real time
% 3.22/3.46 ;
% 3.22/3.46 ; Term-hash-array has 10,013 terms in all.
% 3.22/3.46 ; Feature-vector-row-index has 1,293 entries (1,293 at peak, 1,542 added, 249 deleted).
% 3.22/3.46 ; Feature-vector-row-index has 8,984 nodes (8,984 at peak, 11,188 added, 2,204 deleted).
% 3.22/3.46 ; Retrieved 3,663 possibly forward subsuming rows in 2,865 calls.
% 3.22/3.46 ; Retrieved 762 possibly backward subsumed rows in 1,542 calls.
% 3.22/3.46 ; Path-index has 8,636 entries (8,636 at peak, 10,432 added, 1,796 deleted).
% 3.22/3.46 ; Path-index has 20,511 nodes (20,511 at peak, 23,054 added, 2,543 deleted).
% 3.22/3.46 ; Trie-index has 8,636 entries (8,636 at peak, 10,432 added, 1,796 deleted).
% 3.22/3.46 ; Trie-index has 37,955 nodes (37,955 at peak, 45,963 added, 8,008 deleted).
% 3.22/3.46 ; Retrieved 75,316 generalization terms in 149,840 calls.
% 3.22/3.46 ; Retrieved 5,272 instance terms in 4,730 calls.
% 3.22/3.46 ; Retrieved 2,229,780 unifiable terms in 51,442 calls.
% 3.22/3.46 ;
% 3.22/3.46 ; The agenda of rows to process has 434 entries:
% 3.22/3.46 ; 8 with value 15 41 with value 24 16 with value 33
% 3.22/3.46 ; 38 with value 16 32 with value 25 12 with value 34
% 3.22/3.46 ; 26 with value 17 48 with value 26 5 with value 35
% 3.22/3.46 ; 29 with value 18 10 with value 27 6 with value 39
% 3.22/3.46 ; 16 with value 19 17 with value 28 1 with value 42
% 3.22/3.46 ; 13 with value 20 10 with value 29 4 with value 46
% 3.22/3.46 ; 12 with value 21 8 with value 30 4 with value 47
% 3.22/3.46 ; 29 with value 22 6 with value 31 1 with value 51
% 3.22/3.46 ; 32 with value 23 10 with value 32
% 3.22/3.46 ; The agenda of rows to give has 4062 entries:
% 3.22/3.46 ; 222 with value (4 10) 5 with value (4 45) 3 with value (4 102)
% 3.22/3.46 ; 285 with value (4 11) 6 with value (4 46) 6 with value (4 103)
% 3.22/3.46 ; 289 with value (4 12) 12 with value (4 47) 1 with value (4 105)
% 3.22/3.46 ; 382 with value (4 13) 4 with value (4 48) 2 with value (4 106)
% 3.22/3.46 ; 242 with value (4 14) 1 with value (4 49) 2 with value (4 112)
% 3.22/3.46 ; 270 with value (4 15) 6 with value (4 50) 2 with value (4 115)
% 3.22/3.46 ; 207 with value (4 16) 11 with value (4 51) 2 with value (4 118)
% 3.22/3.46 ; 193 with value (4 17) 6 with value (4 52) 2 with value (4 120)
% 3.22/3.46 ; 191 with value (4 18) 2 with value (4 53) 2 with value (4 121)
% 3.22/3.46 ; 165 with value (4 19) 2 with value (4 54) 2 with value (4 123)
% 3.22/3.46 ; 126 with value (4 20) 4 with value (4 55) 2 with value (4 126)
% 3.22/3.46 ; 134 with value (4 21) 3 with value (4 56) 2 with value (4 129)
% 3.22/3.46 ; 88 with value (4 22) 2 with value (4 57) 1 with value (4 131)
% 3.22/3.46 ; 112 with value (4 23) 3 with value (4 58) 2 with value (4 134)
% 3.22/3.46 ; 96 with value (4 24) 1 with value (4 59) 2 with value (4 137)
% 3.22/3.46 ; 82 with value (4 25) 2 with value (4 60) 1 with value (4 139)
% 3.22/3.46 ; 80 with value (4 26) 2 with value (4 61) 2 with value (4 140)
% 3.22/3.46 ; 78 with value (4 27) 2 with value (4 62) 4 with value (4 142)
% 3.22/3.46 ; 81 with value (4 28) 2 with value (4 64) 2 with value (4 143)
% 3.22/3.46 ; 77 with value (4 29) 1 with value (4 65) 6 with value (4 145)
% 3.22/3.46 ; 58 with value (4 30) 1 with value (4 67) 6 with value (4 148)
% 3.22/3.46 ; 127 with value (4 31) 1 with value (4 69) 1 with value (4 151)
% 3.22/3.46 ; 62 with value (4 32) 1 with value (4 70) 1 with value (4 153)
% 3.22/3.46 ; 51 with value (4 33) 2 with value (4 72) 1 with value (4 198)
% 3.22/3.46 ; 36 with value (4 34) 2 with value (4 74) 2 with value (4 201)
% 3.22/3.46 ; 54 with value (4 35) 1 with value (4 75) 1 with value (4 202)
% 3.22/3.46 ; 9 with value (4 36) 2 with value (4 76) 1 with value (4 203)
% 3.22/3.46 ; 11 with value (4 37) 1 with value (4 78) 2 with value (4 204)
% 3.22/3.46 ; 23 with value (4 38) 1 with value (4 79) 1 with value (4 205)
% 3.22/3.46 ; 8 with value (4 39) 4 with value (4 88) 2 with value (4 206)
% 3.22/3.46 ; 6 with value (4 40) 4 with value (4 91) 4 with value (4 207)
% 3.22/3.46 ; 8 with value (4 41) 1 with value (4 96) 2 with value (4 209)
% 3.22/3.46 ; 11 with value (4 42) 2 with value (4 97) 3 with value (4 210)
% 3.22/3.46 ; 5 with value (4 43) 3 with value (4 99) 3 with value (4 212)
% 3.22/3.46 ; 4 with value (4 44) 6 with value (4 100) 2 with value (4 215)
% 3.22/3.46 Evaluation took:
% 3.22/3.46 2.996 seconds of real time
% 3.22/3.46 2.774067 seconds of user run time
% 3.22/3.46 0.221747 seconds of system run time
% 3.22/3.46 [Run times include 0.29 seconds GC run time.]
% 3.22/3.46 0 calls to %EVAL
% 3.22/3.46 0 page faults and
% 3.22/3.46 233,301,008 bytes consed.
% 3.22/3.46 :PROOF-FOUND
% 3.22/3.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-03-31T14:58:13
% 3.22/3.46 :PROOF-FOUND
% 3.22/3.46 *
%------------------------------------------------------------------------------