TSTP Solution File: SWC083+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC083+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Tue Jul 19 21:56:47 EDT 2022
% Result : Theorem 194.33s 194.53s
% Output : Refutation 194.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of clauses : 41 ( 31 unt; 2 nHn; 41 RR)
% Number of literals : 66 ( 22 equ; 27 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(22,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| segmentP(X,Y)
| ~ ssList(Z)
| ~ ssList(U)
| app(app(Z,Y),U) != X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
cnf(82,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(96,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ssList(app(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
cnf(98,axiom,
( ~ ssList(X)
| app(nil,X) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
cnf(135,axiom,
( ~ ssList(X)
| segmentP(X,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
cnf(136,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssList(U)
| ~ segmentP(X,Y)
| segmentP(app(app(Z,X),U),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
cnf(171,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ ssList(Z)
| app(app(X,Y),Z) = app(X,app(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
cnf(175,axiom,
( ~ ssList(X)
| app(X,nil) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
cnf(188,negated_conjecture,
ssList('SKOLEMAAAV48'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(189,negated_conjecture,
ssList('SKOLEMAAAV49'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(192,negated_conjecture,
'SKOLEMAAAV49' = 'SKOLEMAAAV51',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAV48' = 'SKOLEMAAAV50',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
neq('SKOLEMAAAV49',nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
( ~ ssList(X)
| ~ neq(X,nil)
| ~ segmentP('SKOLEMAAAV49',X)
| ~ segmentP('SKOLEMAAAV48',X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(196,negated_conjecture,
ssList('SKOLEMAAAV52'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(197,negated_conjecture,
ssList('SKOLEMAAAV53'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(198,negated_conjecture,
ssList('SKOLEMAAAV54'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(199,negated_conjecture,
app(app('SKOLEMAAAV52','SKOLEMAAAV53'),'SKOLEMAAAV54') = 'SKOLEMAAAV50',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
app(app('SKOLEMAAAV52','SKOLEMAAAV53'),'SKOLEMAAAV54') = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[199,193,theory(equality)]) ).
cnf(201,negated_conjecture,
app('SKOLEMAAAV52','SKOLEMAAAV54') = 'SKOLEMAAAV51',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(202,plain,
app('SKOLEMAAAV52','SKOLEMAAAV54') = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[201,192,theory(equality)]) ).
cnf(231,plain,
segmentP('SKOLEMAAAV52','SKOLEMAAAV52'),
inference('HYPERRESOLVE',[status(thm)],[135,196]) ).
cnf(232,plain,
segmentP('SKOLEMAAAV49','SKOLEMAAAV49'),
inference('HYPERRESOLVE',[status(thm)],[135,189]) ).
cnf(258,plain,
app(nil,'SKOLEMAAAV54') = 'SKOLEMAAAV54',
inference('HYPERRESOLVE',[status(thm)],[98,198]) ).
cnf(259,plain,
app(nil,'SKOLEMAAAV53') = 'SKOLEMAAAV53',
inference('HYPERRESOLVE',[status(thm)],[98,197]) ).
cnf(260,plain,
app(nil,'SKOLEMAAAV52') = 'SKOLEMAAAV52',
inference('HYPERRESOLVE',[status(thm)],[98,196]) ).
cnf(267,plain,
app('SKOLEMAAAV49',nil) = 'SKOLEMAAAV49',
inference('HYPERRESOLVE',[status(thm)],[175,189]) ).
cnf(476,plain,
ssList(app('SKOLEMAAAV53','SKOLEMAAAV54')),
inference('HYPERRESOLVE',[status(thm)],[96,197,198]) ).
cnf(573,plain,
( neq('SKOLEMAAAV52',nil)
| nil = 'SKOLEMAAAV52' ),
inference('HYPERRESOLVE',[status(thm)],[82,196,84]) ).
cnf(888,plain,
app(app('SKOLEMAAAV53','SKOLEMAAAV49'),nil) = app('SKOLEMAAAV53','SKOLEMAAAV49'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[171,197,189,84]),267,theory(equality)]) ).
cnf(900,plain,
'SKOLEMAAAV48' = app('SKOLEMAAAV52',app('SKOLEMAAAV53','SKOLEMAAAV54')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[171,196,197,198]),200,theory(equality)]) ).
cnf(2001,plain,
segmentP('SKOLEMAAAV49','SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,231,196,196,84,198]),202,260,theory(equality)]) ).
cnf(2005,plain,
~ segmentP('SKOLEMAAAV48','SKOLEMAAAV49'),
inference('UR-RESOLVE',[status(thm)],[195,232,189,194]) ).
cnf(4977,plain,
app('SKOLEMAAAV53','SKOLEMAAAV49') != 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[22,2005,188,189,197,84]),888,theory(equality)]) ).
cnf(44998,plain,
segmentP('SKOLEMAAAV48','SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,476,196,196,84,231]),900,260,theory(equality)]) ).
cnf(53809,plain,
~ neq('SKOLEMAAAV52',nil),
inference('UR-RESOLVE',[status(thm)],[195,44998,196,2001]) ).
cnf(53810,plain,
nil = 'SKOLEMAAAV52',
inference('REWRITE',[status(thm)],[573,53809]) ).
cnf(53811,plain,
app('SKOLEMAAAV53','SKOLEMAAAV54') = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[200,259,53810,theory(equality)]) ).
cnf(54207,plain,
'SKOLEMAAAV54' = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[202,258,53810,theory(equality)]) ).
cnf(62453,plain,
$false,
inference('REWRITE',[status(thm)],[53811,4977,54207,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC083+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 12 13:15:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T13:15:19
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-12T13:15:19
% 194.33/194.53
% 194.33/194.53
% 194.33/194.53 #||
% 194.33/194.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 194.33/194.53 % SZS output start Refutation
% See solution above
% 194.33/194.53 ||#
% 194.33/194.53
% 194.33/194.53 ; Summary of computation:
% 194.33/194.53 ; 181009 formulas have been input or derived (from 293 formulas).
% 194.33/194.53 ; 62453 (35%) were retained. Of these,
% 194.33/194.53 ; 49094 (79%) were simplified or subsumed later,
% 194.33/194.53 ; 13359 (21%) are still being kept.
% 194.33/194.53 ;
% 194.33/194.53 ; Run time in seconds excluding printing time:
% 194.33/194.53 ; 0.027 0% Read assertion file (1 call)
% 194.33/194.53 ; 0.008 0% Assert (96 calls)
% 194.33/194.53 ; 6.287 3% Process new row (164,973 calls)
% 194.33/194.53 ; 173.225 89% Resolution (584 calls)
% 194.33/194.53 ; 0.005 0% Paramodulation (292 calls)
% 194.33/194.53 ; 0.005 0% Condensing (1,930 calls)
% 194.33/194.53 ; 0.103 0% Forward subsumption (1,930 calls)
% 194.33/194.53 ; 0.032 0% Backward subsumption (1,593 calls)
% 194.33/194.53 ; 0.005 0% Clause clause subsumption (1,259 calls)
% 194.33/194.53 ; 5.303 3% Forward simplification (164,509 calls)
% 194.33/194.53 ; 8.424 4% Backward simplification (62,451 calls)
% 194.33/194.53 ; 0.035 0% Ordering (7,257 calls)
% 194.33/194.53 ; 0.001 0% Sortal reasoning (32 calls)
% 194.33/194.53 ; 0.001 0% Purity testing (1 call)
% 194.33/194.53 ; 0.554 0% Other
% 194.33/194.53 ; 194.015 Total
% 194.33/194.53 ; 194.038 Real time
% 194.33/194.53 ;
% 194.33/194.53 ; Term-hash-array has 88,559 terms in all.
% 194.33/194.53 ; Feature-vector-row-index has 604 entries (1,296 at peak, 1,593 added, 989 deleted).
% 194.33/194.53 ; Feature-vector-row-index has 3,035 nodes (6,915 at peak, 8,857 added, 5,822 deleted).
% 194.33/194.53 ; Retrieved 1,313 possibly forward subsuming rows in 1,930 calls.
% 194.33/194.53 ; Retrieved 517 possibly backward subsumed rows in 1,593 calls.
% 194.33/194.53 ; Path-index has 19,338 entries (60,120 at peak, 89,314 added, 69,976 deleted).
% 194.33/194.53 ; Path-index has 5,527 nodes (6,999 at peak, 8,825 added, 3,298 deleted).
% 194.33/194.53 ; Trie-index has 19,338 entries (60,120 at peak, 89,314 added, 69,976 deleted).
% 194.33/194.53 ; Trie-index has 58,810 nodes (170,570 at peak, 256,754 added, 197,944 deleted).
% 194.33/194.53 ; Retrieved 330,210 generalization terms in 1,430,845 calls.
% 194.33/194.53 ; Retrieved 61,232 instance terms in 60,857 calls.
% 194.33/194.53 ; Retrieved 415,082,462 unifiable terms in 7,936,762 calls.
% 194.33/194.53 ;
% 194.33/194.53 ; The agenda of backward simplifiable rows to process has 14064 entries:
% 194.33/194.53 ; 14064 with value 0
% 194.33/194.53 ; The agenda of rows to process has 460 entries:
% 194.33/194.53 ; 4 with value 7 12 with value 14 32 with value 17
% 194.33/194.53 ; 4 with value 9 108 with value 15 130 with value 18
% 194.33/194.53 ; 72 with value 13 98 with value 16
% 194.33/194.53 ; The agenda of input rows to give has 1 entry:
% 194.33/194.53 ; 1 with value 4
% 194.33/194.53 ; The agenda of rows to give has 13097 entries:
% 194.33/194.53 ; 4 with value (4 5) 310 with value (4 16) 826 with value (4 27)
% 194.33/194.53 ; 5 with value (4 6) 341 with value (4 17) 1505 with value (4 28)
% 194.33/194.53 ; 11 with value (4 7) 252 with value (4 18) 972 with value (4 29)
% 194.33/194.53 ; 55 with value (4 8) 337 with value (4 19) 727 with value (4 30)
% 194.33/194.53 ; 223 with value (4 9) 161 with value (4 20) 626 with value (4 31)
% 194.33/194.53 ; 46 with value (4 10) 597 with value (4 21) 50 with value (4 32)
% 194.33/194.53 ; 119 with value (4 11) 431 with value (4 22) 250 with value (4 33)
% 194.33/194.53 ; 226 with value (4 12) 761 with value (4 23) 6 with value (4 35)
% 194.33/194.53 ; 150 with value (4 13) 1100 with value (4 24) 3 with value (4 37)
% 194.33/194.53 ; 323 with value (4 14) 911 with value (4 25) 18 with value (4 42)
% 194.33/194.53 ; 193 with value (4 15) 1558 with value (4 26)
% 194.33/194.53 Evaluation took:
% 194.33/194.53 194.042 seconds of real time
% 194.33/194.53 191.7913 seconds of user run time
% 194.33/194.53 2.23068 seconds of system run time
% 194.33/194.53 [Run times include 21.489 seconds GC run time.]
% 194.33/194.53 0 calls to %EVAL
% 194.33/194.53 0 page faults and
% 194.33/194.53 16,821,775,112 bytes consed.
% 194.33/194.53 :PROOF-FOUND
% 194.33/194.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T13:18:33
% 194.33/194.53 :PROOF-FOUND
% 194.33/194.53 *
%------------------------------------------------------------------------------