TSTP Solution File: SYN353+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Thu Jul 21 11:59:39 EDT 2022
% Result : Theorem 49.07s 49.28s
% Output : Refutation 49.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of clauses : 35 ( 6 unt; 23 nHn; 12 RR)
% Number of literals : 87 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 60 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( ~ big_f(X,Y,Z)
| ~ big_f('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'(X,Y,Z))
| big_f(Y,Z,X)
| big_f(Z,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(2,negated_conjecture,
( big_f(X,Y,Z)
| big_f(Z,Y,'SKOLEMAAAW2'(Y,Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(4,negated_conjecture,
( ~ big_f(X,Y,Z)
| big_f(Y,Z,X)
| ~ big_f(Z,Y,'SKOLEMAAAW2'(Y,Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(5,negated_conjecture,
( ~ big_f(X,Y,Z)
| big_f(Z,X,Y)
| ~ big_f(Z,Y,'SKOLEMAAAW2'(Y,Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(6,negated_conjecture,
( big_f(X,Y,Z)
| big_f(Z,'SKOLEMAAAW2'(Z,X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(8,negated_conjecture,
( ~ big_f(X,Y,Z)
| big_f(Z,X,Y)
| ~ big_f(Z,'SKOLEMAAAW2'(Z,X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(9,negated_conjecture,
( ~ big_f(X,Y,Z)
| big_f(Y,Z,X)
| ~ big_f(Z,'SKOLEMAAAW2'(Z,X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(10,negated_conjecture,
( ~ big_f(X,Y,Z)
| ~ big_f(Z,X,Y)
| big_f('SKOLEMAAAW2'(Y,Z,X),Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(12,negated_conjecture,
( big_f(X,Y,Z)
| big_f(Y,Z,X)
| ~ big_f('SKOLEMAAAW2'(Y,Z,X),Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(13,negated_conjecture,
( big_f(X,Y,Z)
| big_f(Z,X,Y)
| ~ big_f('SKOLEMAAAW2'(Z,X,Y),X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(14,negated_conjecture,
( ~ big_f(X,Y,Z)
| ~ big_f(Y,Z,X)
| ~ big_f(Z,X,Y)
| ~ big_f('SKOLEMAAAW2'(X,Y,Z),'SKOLEMAAAW2'(X,Y,Z),'SKOLEMAAAW2'(X,Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
cnf(22,plain,
( big_f(X,Y,Z)
| big_f(Y,Z,X)
| big_f('SKOLEMAAAW2'('SKOLEMAAAW2'(Z,X,Y),X,Z),X,'SKOLEMAAAW2'(Z,X,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[10,6,2]) ).
cnf(32,plain,
( big_f(X,'SKOLEMAAAW1','SKOLEMAAAW1')
| big_f('SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X),'SKOLEMAAAW1','SKOLEMAAAW1')
| big_f('SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X),'SKOLEMAAAW1') ),
inference('HYPERRESOLVE',[status(thm)],[1,2,2]) ).
cnf(56,plain,
( big_f(X,'SKOLEMAAAW1','SKOLEMAAAW1')
| big_f('SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X),'SKOLEMAAAW1')
| big_f('SKOLEMAAAW1','SKOLEMAAAW1',X) ),
inference('HYPERRESOLVE',[status(thm)],[12,32]) ).
cnf(63,plain,
( big_f('SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X),'SKOLEMAAAW1','SKOLEMAAAW1')
| big_f('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X))
| big_f('SKOLEMAAAW1',X,'SKOLEMAAAW1') ),
inference('HYPERRESOLVE',[status(thm)],[9,56,6]) ).
cnf(79,plain,
( big_f('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X))
| big_f('SKOLEMAAAW1',X,'SKOLEMAAAW1')
| big_f('SKOLEMAAAW1','SKOLEMAAAW1',X) ),
inference('HYPERRESOLVE',[status(thm)],[13,63]) ).
cnf(80,plain,
( big_f('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X))
| big_f('SKOLEMAAAW1',X,'SKOLEMAAAW1')
| big_f('SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X)),'SKOLEMAAAW1','SKOLEMAAAW1') ),
inference('HYPERRESOLVE',[status(thm)],[10,63,6]) ).
cnf(98,plain,
( big_f(X,X,X)
| big_f('SKOLEMAAAW2'('SKOLEMAAAW2'(X,X,X),X,X),X,'SKOLEMAAAW2'(X,X,X)) ),
inference('FACTOR',[status(thm)],[22]) ).
cnf(183,plain,
( big_f('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X))
| big_f('SKOLEMAAAW1',X,'SKOLEMAAAW1')
| big_f('SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X)),'SKOLEMAAAW1')
| big_f('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X))) ),
inference('HYPERRESOLVE',[status(thm)],[5,80,79]) ).
cnf(540,plain,
( big_f('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X))
| big_f('SKOLEMAAAW1',X,'SKOLEMAAAW1')
| big_f('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X))) ),
inference('HYPERRESOLVE',[status(thm)],[8,183,6]) ).
cnf(541,plain,
( big_f('SKOLEMAAAW1','SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X))
| big_f('SKOLEMAAAW1',X,'SKOLEMAAAW1') ),
inference('HYPERRESOLVE',[status(thm)],[4,540,63]) ).
cnf(542,plain,
( big_f('SKOLEMAAAW1','SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X),'SKOLEMAAAW1')
| big_f(X,'SKOLEMAAAW1','SKOLEMAAAW1') ),
inference('HYPERRESOLVE',[status(thm)],[5,541,32]) ).
cnf(556,plain,
( big_f(X,'SKOLEMAAAW1','SKOLEMAAAW1')
| big_f('SKOLEMAAAW2'('SKOLEMAAAW1','SKOLEMAAAW1',X),'SKOLEMAAAW1','SKOLEMAAAW1') ),
inference('HYPERRESOLVE',[status(thm)],[9,542,542]) ).
cnf(562,plain,
( big_f(X,'SKOLEMAAAW1','SKOLEMAAAW1')
| big_f('SKOLEMAAAW1','SKOLEMAAAW1',X) ),
inference('HYPERRESOLVE',[status(thm)],[12,556]) ).
cnf(571,plain,
( big_f(X,'SKOLEMAAAW1','SKOLEMAAAW1')
| big_f('SKOLEMAAAW1',X,'SKOLEMAAAW1') ),
inference('HYPERRESOLVE',[status(thm)],[1,562,541]) ).
cnf(634,plain,
big_f('SKOLEMAAAW1',X,'SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[5,571,541]) ).
cnf(635,plain,
big_f(X,'SKOLEMAAAW1','SKOLEMAAAW1'),
inference('HYPERRESOLVE',[status(thm)],[9,634,634]) ).
cnf(636,plain,
big_f('SKOLEMAAAW1','SKOLEMAAAW1',X),
inference('HYPERRESOLVE',[status(thm)],[8,634,634]) ).
cnf(637,plain,
( ~ big_f(X,Y,Z)
| big_f(Y,Z,X)
| big_f(Z,X,Y) ),
inference('REWRITE',[status(thm)],[1,636]) ).
cnf(643,plain,
( big_f(X,X,X)
| big_f(X,'SKOLEMAAAW2'(X,X,X),'SKOLEMAAAW2'('SKOLEMAAAW2'(X,X,X),X,X))
| big_f('SKOLEMAAAW2'(X,X,X),'SKOLEMAAAW2'('SKOLEMAAAW2'(X,X,X),X,X),X) ),
inference('HYPERRESOLVE',[status(thm)],[637,98]) ).
cnf(667,plain,
~ big_f('SKOLEMAAAW2'(X,'SKOLEMAAAW1','SKOLEMAAAW1'),'SKOLEMAAAW2'(X,'SKOLEMAAAW1','SKOLEMAAAW1'),'SKOLEMAAAW2'(X,'SKOLEMAAAW1','SKOLEMAAAW1')),
inference('UR-RESOLVE',[status(thm)],[14,636,635,634]) ).
cnf(1119,plain,
( big_f(X,X,X)
| big_f('SKOLEMAAAW2'(X,X,X),'SKOLEMAAAW2'('SKOLEMAAAW2'(X,X,X),X,X),X)
| big_f('SKOLEMAAAW2'(X,X,X),X,X) ),
inference('HYPERRESOLVE',[status(thm)],[4,643,6]) ).
cnf(1123,plain,
( big_f(X,X,X)
| big_f('SKOLEMAAAW2'(X,X,X),X,X) ),
inference('HYPERRESOLVE',[status(thm)],[8,1119,2]) ).
cnf(1124,plain,
big_f(X,X,X),
inference('HYPERRESOLVE',[status(thm)],[12,1123]) ).
cnf(1125,plain,
$false,
inference('REWRITE',[status(thm)],[667,1124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 : 600
% 0.13/0.34 % DateTime : Mon Jul 11 14:21:27 EDT 2022
% 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 2022-07-11T14:21:27
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T14:21:27
% 49.07/49.28
% 49.07/49.28
% 49.07/49.28 #||
% 49.07/49.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.07/49.28 % SZS output start Refutation
% See solution above
% 49.07/49.28 ||#
% 49.07/49.28
% 49.07/49.28 ; Summary of computation:
% 49.07/49.28 ; 128202 formulas have been input or derived (from 251 formulas).
% 49.07/49.28 ; 1125 ( 1%) were retained. Of these,
% 49.07/49.28 ; 516 (46%) were simplified or subsumed later,
% 49.07/49.28 ; 609 (54%) are still being kept.
% 49.07/49.28 ;
% 49.07/49.28 ; Run time in seconds excluding printing time:
% 49.07/49.28 ; 0.002 0% Read assertion file (1 call)
% 49.07/49.28 ; 0.001 0% Assert (1 call)
% 49.07/49.28 ; 0.503 1% Process new row (119,346 calls)
% 49.07/49.28 ; 13.435 28% Resolution (500 calls)
% 49.07/49.28 ; 0.008 0% Paramodulation (250 calls)
% 49.07/49.28 ; 0.001 0% Factoring (191 calls)
% 49.07/49.28 ; 1.152 2% Condensing (67,095 calls)
% 49.07/49.28 ; 13.663 28% Forward subsumption (67,095 calls)
% 49.07/49.28 ; 0.097 0% Backward subsumption (839 calls)
% 49.07/49.28 ; 17.016 35% Clause clause subsumption (3,930,592 calls)
% 49.07/49.28 ; 2.131 4% Forward simplification (111,012 calls)
% 49.07/49.28 ; 0.022 0% Backward simplification (1,125 calls)
% 49.07/49.28 ; 0.335 1% Ordering (70,820 calls)
% 49.07/49.28 ; 0.000 0% Sortal reasoning (32 calls)
% 49.07/49.28 ; 0.000 0% Purity testing (1 call)
% 49.07/49.28 ; 0.433 1% Other
% 49.07/49.28 ; 48.799 Total
% 49.07/49.28 ; 48.799 Real time
% 49.07/49.28 ;
% 49.07/49.28 ; Term-hash-array has 1,140 terms in all.
% 49.07/49.28 ; Feature-vector-row-index has 382 entries (475 at peak, 839 added, 457 deleted).
% 49.07/49.28 ; Feature-vector-row-index has 215 nodes (550 at peak, 908 added, 693 deleted).
% 49.07/49.28 ; Retrieved 9,962,120 possibly forward subsuming rows in 67,095 calls.
% 49.07/49.28 ; Retrieved 30,095 possibly backward subsumed rows in 839 calls.
% 49.07/49.28 ; Path-index has 742 entries (922 at peak, 1,298 added, 556 deleted).
% 49.07/49.28 ; Path-index has 2,280 nodes (2,328 at peak, 2,842 added, 562 deleted).
% 49.07/49.28 ; Trie-index has 742 entries (922 at peak, 1,298 added, 556 deleted).
% 49.07/49.28 ; Trie-index has 10,826 nodes (12,139 at peak, 15,856 added, 5,030 deleted).
% 49.07/49.28 ; Retrieved 151,588 generalization terms in 358,915 calls.
% 49.07/49.28 ; Retrieved 929 instance terms in 285 calls.
% 49.07/49.28 ; Retrieved 6,577,404 unifiable terms in 50,728 calls.
% 49.07/49.28 ;
% 49.07/49.28 ; The agenda of backward simplifiable rows to process has 1 entry:
% 49.07/49.28 ; 1 with value 0
% 49.07/49.28 ; The agenda of rows to process has 624 entries:
% 49.07/49.28 ; 46 with value 19 6 with value 32 1 with value 41
% 49.07/49.28 ; 4 with value 23 2 with value 33 1 with value 44
% 49.07/49.28 ; 9 with value 26 2 with value 34 156 with value 50
% 49.07/49.28 ; 20 with value 27 9 with value 35 54 with value 55
% 49.07/49.28 ; 70 with value 28 10 with value 36 6 with value 60
% 49.07/49.28 ; 147 with value 29 4 with value 37 12 with value 69
% 49.07/49.28 ; 3 with value 30 22 with value 38 36 with value 75
% 49.07/49.28 ; 1 with value 31 3 with value 40
% 49.07/49.28 ; The agenda of rows to give has 465 entries:
% 49.07/49.28 ; 1 with value (4 10) 2 with value (4 58) 2 with value (4 77)
% 49.07/49.28 ; 25 with value (4 39) 25 with value (4 59) 13 with value (4 78)
% 49.07/49.28 ; 22 with value (4 40) 12 with value (4 60) 2 with value (4 79)
% 49.07/49.29 ; 1 with value (4 41) 7 with value (4 61) 2 with value (4 80)
% 49.07/49.29 ; 12 with value (4 42) 4 with value (4 62) 3 with value (4 81)
% 49.07/49.29 ; 18 with value (4 43) 4 with value (4 63) 1 with value (4 82)
% 49.07/49.29 ; 2 with value (4 44) 5 with value (4 64) 1 with value (4 85)
% 49.07/49.29 ; 20 with value (4 45) 7 with value (4 65) 9 with value (4 86)
% 49.07/49.29 ; 10 with value (4 46) 4 with value (4 66) 10 with value (4 87)
% 49.07/49.29 ; 19 with value (4 47) 1 with value (4 67) 1 with value (4 88)
% 49.07/49.29 ; 7 with value (4 48) 5 with value (4 68) 2 with value (4 90)
% 49.07/49.29 ; 7 with value (4 49) 7 with value (4 69) 1 with value (4 94)
% 49.07/49.29 ; 12 with value (4 50) 4 with value (4 70) 6 with value (4 96)
% 49.07/49.29 ; 27 with value (4 51) 22 with value (4 71) 12 with value (4 97)
% 49.07/49.29 ; 2 with value (4 52) 4 with value (4 72) 2 with value (4 99)
% 49.07/49.29 ; 19 with value (4 53) 2 with value (4 73) 6 with value (4 106)
% 49.07/49.29 ; 5 with value (4 54) 4 with value (4 74) 1 with value (4 112)
% 49.07/49.29 ; 19 with value (4 55) 3 with value (4 75) 9 with value (4 114)
% 49.07/49.29 ; 8 with value (4 56) 2 with value (4 76) 12 with value (4 115)
% 49.07/49.29 ; 10 with value (4 57)
% 49.07/49.29 Evaluation took:
% 49.07/49.29 48.813 seconds of real time
% 49.07/49.29 44.110275 seconds of user run time
% 49.07/49.29 4.705575 seconds of system run time
% 49.07/49.29 [Run times include 2.081 seconds GC run time.]
% 49.07/49.29 0 calls to %EVAL
% 49.07/49.29 0 page faults and
% 49.07/49.29 6,863,840,944 bytes consed.
% 49.07/49.29 :PROOF-FOUND
% 49.07/49.29 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:22:16
% 49.07/49.29 :PROOF-FOUND
% 49.07/49.29 *
%------------------------------------------------------------------------------