TSTP Solution File: SET988+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:13:51 EDT 2022
% Result : Theorem 1.19s 1.39s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 6 unt; 7 nHn; 15 RR)
% Number of literals : 31 ( 12 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(35,negated_conjecture,
( ~ in(X,'SKOLEMAAAV10')
| ordered_pair('SKOLEMAAAV11'(X),'SKOLEMAAAV12'(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_funct_1) ).
cnf(36,negated_conjecture,
( ~ in(ordered_pair(X,Y),'SKOLEMAAAV10')
| ~ in(ordered_pair(X,Z),'SKOLEMAAAV10')
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_funct_1) ).
cnf(37,negated_conjecture,
( ~ relation('SKOLEMAAAV10')
| ~ function('SKOLEMAAAV10') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_funct_1) ).
cnf(39,axiom,
( function(X)
| in(ordered_pair('SKOLEMAAAV13'(X),'SKOLEMAAAV14'(X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_1) ).
cnf(40,axiom,
( function(X)
| in(ordered_pair('SKOLEMAAAV13'(X),'SKOLEMAAAV15'(X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_1) ).
cnf(41,axiom,
( function(X)
| 'SKOLEMAAAV14'(X) != 'SKOLEMAAAV15'(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_1) ).
cnf(43,axiom,
( relation(X)
| in('SKOLEMAAAV18'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).
cnf(44,axiom,
( relation(X)
| 'SKOLEMAAAV18'(X) != ordered_pair(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).
cnf(95,plain,
( relation('SKOLEMAAAV10')
| ordered_pair('SKOLEMAAAV11'('SKOLEMAAAV18'('SKOLEMAAAV10')),'SKOLEMAAAV12'('SKOLEMAAAV18'('SKOLEMAAAV10'))) = 'SKOLEMAAAV18'('SKOLEMAAAV10') ),
inference('HYPERRESOLVE',[status(thm)],[35,43]) ).
cnf(102,plain,
( function('SKOLEMAAAV10')
| 'SKOLEMAAAV15'('SKOLEMAAAV10') = 'SKOLEMAAAV14'('SKOLEMAAAV10') ),
inference('HYPERRESOLVE',[status(thm)],[36,40,39]) ).
cnf(986,plain,
( ordered_pair('SKOLEMAAAV11'('SKOLEMAAAV18'('SKOLEMAAAV10')),'SKOLEMAAAV12'('SKOLEMAAAV18'('SKOLEMAAAV10'))) = 'SKOLEMAAAV18'('SKOLEMAAAV10')
| 'SKOLEMAAAV15'('SKOLEMAAAV10') = 'SKOLEMAAAV14'('SKOLEMAAAV10') ),
inference('HYPERRESOLVE',[status(thm)],[37,95,102]) ).
cnf(4584,plain,
( 'SKOLEMAAAV15'('SKOLEMAAAV10') = 'SKOLEMAAAV14'('SKOLEMAAAV10')
| relation('SKOLEMAAAV10') ),
inference('HYPERRESOLVE',[status(thm)],[44,986]) ).
cnf(4716,plain,
'SKOLEMAAAV15'('SKOLEMAAAV10') = 'SKOLEMAAAV14'('SKOLEMAAAV10'),
inference('HYPERRESOLVE',[status(thm)],[37,4584,102]) ).
cnf(4717,plain,
function('SKOLEMAAAV10'),
inference('HYPERRESOLVE',[status(thm)],[41,4716]) ).
cnf(4718,plain,
~ relation('SKOLEMAAAV10'),
inference('REWRITE',[status(thm)],[37,4717]) ).
cnf(4719,plain,
ordered_pair('SKOLEMAAAV11'('SKOLEMAAAV18'('SKOLEMAAAV10')),'SKOLEMAAAV12'('SKOLEMAAAV18'('SKOLEMAAAV10'))) = 'SKOLEMAAAV18'('SKOLEMAAAV10'),
inference('REWRITE',[status(thm)],[95,4718]) ).
cnf(4726,plain,
'SKOLEMAAAV18'('SKOLEMAAAV10') != ordered_pair(X,Y),
inference('UR-RESOLVE',[status(thm)],[44,4718]) ).
cnf(4727,plain,
$false,
inference('REWRITE',[status(thm)],[4719,4726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 : 600
% 0.12/0.33 % DateTime : Sun Jul 10 15:08:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:08:28
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-10T15:08:28
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.47 WARNING:
% 0.18/0.47 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.19/1.39 ; Declaring unordered_pair to be commutative.
% 1.19/1.39
% 1.19/1.39 #||
% 1.19/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.19/1.39 % SZS output start Refutation
% See solution above
% 1.19/1.39 ||#
% 1.19/1.39
% 1.19/1.39 ; Summary of computation:
% 1.19/1.39 ; 10763 formulas have been input or derived (from 1880 formulas).
% 1.19/1.39 ; 4727 (44%) were retained. Of these,
% 1.19/1.39 ; 267 ( 6%) were simplified or subsumed later,
% 1.19/1.39 ; 4460 (94%) are still being kept.
% 1.19/1.39 ;
% 1.19/1.39 ; Run time in seconds excluding printing time:
% 1.19/1.39 ; 0.006 1% Read assertion file (1 call)
% 1.19/1.39 ; 0.002 0% Assert (33 calls)
% 1.19/1.39 ; 0.328 35% Process new row (9,246 calls)
% 1.19/1.39 ; 0.179 19% Resolution (3,758 calls)
% 1.19/1.39 ; 0.072 8% Paramodulation (1,879 calls)
% 1.19/1.39 ; 0.002 0% Factoring (104 calls)
% 1.19/1.39 ; 0.018 2% Condensing (1,533 calls)
% 1.19/1.39 ; 0.099 11% Forward subsumption (1,533 calls)
% 1.19/1.39 ; 0.026 3% Backward subsumption (961 calls)
% 1.19/1.39 ; 0.009 1% Clause clause subsumption (2,063 calls)
% 1.19/1.39 ; 0.079 9% Forward simplification (8,952 calls)
% 1.19/1.39 ; 0.039 4% Backward simplification (4,727 calls)
% 1.19/1.39 ; 0.009 1% Ordering (7,092 calls)
% 1.19/1.39 ; 0.000 0% Sortal reasoning (32 calls)
% 1.19/1.39 ; 0.001 0% Purity testing (1 call)
% 1.19/1.39 ; 0.060 6% Other
% 1.19/1.39 ; 0.929 Total
% 1.19/1.39 ; 0.932 Real time
% 1.19/1.39 ;
% 1.19/1.39 ; Term-hash-array has 6,749 terms in all.
% 1.19/1.39 ; Feature-vector-row-index has 778 entries (922 at peak, 961 added, 183 deleted).
% 1.19/1.39 ; Feature-vector-row-index has 6,685 nodes (7,918 at peak, 8,386 added, 1,701 deleted).
% 1.19/1.39 ; Retrieved 3,418 possibly forward subsuming rows in 1,533 calls.
% 1.19/1.39 ; Retrieved 51 possibly backward subsumed rows in 961 calls.
% 1.19/1.39 ; Path-index has 6,386 entries (6,587 at peak, 6,802 added, 416 deleted).
% 1.19/1.39 ; Path-index has 9,305 nodes (9,486 at peak, 9,685 added, 380 deleted).
% 1.19/1.39 ; Trie-index has 6,386 entries (6,587 at peak, 6,802 added, 416 deleted).
% 1.19/1.39 ; Trie-index has 22,002 nodes (22,772 at peak, 23,256 added, 1,254 deleted).
% 1.19/1.39 ; Retrieved 9,164 generalization terms in 20,472 calls.
% 1.19/1.39 ; Retrieved 4,197 instance terms in 3,765 calls.
% 1.19/1.39 ; Retrieved 93,598 unifiable terms in 25,445 calls.
% 1.19/1.39 ;
% 1.19/1.39 ; The agenda of rows to process has 3 entries:
% 1.19/1.39 ; 1 with value 11 1 with value 13 1 with value 15
% 1.19/1.39 ; The agenda of rows to give has 2605 entries:
% 1.19/1.39 ; 1 with value (4 4) 27 with value (4 34) 4 with value (4 49)
% 1.19/1.39 ; 1 with value (4 7) 17 with value (4 35) 1 with value (4 50)
% 1.19/1.39 ; 2 with value (4 8) 18 with value (4 36) 2 with value (4 51)
% 1.19/1.39 ; 1 with value (4 9) 29 with value (4 37) 2 with value (4 52)
% 1.19/1.39 ; 341 with value (4 23) 12 with value (4 38) 6 with value (4 53)
% 1.19/1.39 ; 268 with value (4 24) 14 with value (4 39) 4 with value (4 54)
% 1.19/1.39 ; 336 with value (4 25) 9 with value (4 40) 2 with value (4 56)
% 1.19/1.39 ; 280 with value (4 26) 22 with value (4 41) 1 with value (4 57)
% 1.19/1.39 ; 283 with value (4 27) 16 with value (4 42) 4 with value (4 60)
% 1.19/1.39 ; 126 with value (4 28) 7 with value (4 43) 2 with value (4 64)
% 1.19/1.39 ; 220 with value (4 29) 11 with value (4 44) 2 with value (4 65)
% 1.19/1.39 ; 127 with value (4 30) 9 with value (4 45) 2 with value (4 68)
% 1.19/1.39 ; 182 with value (4 31) 4 with value (4 46) 2 with value (4 69)
% 1.19/1.39 ; 63 with value (4 32) 12 with value (4 47) 2 with value (4 70)
% 1.19/1.39 ; 122 with value (4 33) 7 with value (4 48) 2 with value (4 72)
% 1.19/1.39 Evaluation took:
% 1.19/1.39 0.932 seconds of real time
% 1.19/1.39 0.850257 seconds of user run time
% 1.19/1.39 0.082214 seconds of system run time
% 1.19/1.39 [Run times include 0.105 seconds GC run time.]
% 1.19/1.39 0 calls to %EVAL
% 1.19/1.39 0 page faults and
% 1.19/1.39 79,167,184 bytes consed.
% 1.19/1.39 :PROOF-FOUND
% 1.19/1.39 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:08:29
% 1.19/1.39 :PROOF-FOUND
% 1.19/1.39 *
%------------------------------------------------------------------------------