TSTP Solution File: SWV384+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 21:33:07 EDT 2022
% Result : Theorem 0.80s 1.02s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 31 ( 11 unt; 13 nHn; 30 RR)
% Number of literals : 78 ( 4 equ; 36 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 59 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(37,axiom,
~ ok(triple(X,Y,bad)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax40) ).
cnf(38,axiom,
( ok(triple(X,Y,Z))
| Z = bad ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax41) ).
cnf(53,axiom,
( ~ check_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6'))
| ~ ok(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6'))
| check_cpq(triple(X,Y,Z))
| ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
| ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).
cnf(54,axiom,
( ~ check_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6'))
| ~ ok(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6'))
| ok(triple(X,Y,Z))
| ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
| ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).
cnf(55,axiom,
( check_cpq(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')))
| check_cpq(triple(X,Y,Z))
| ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
| ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).
cnf(56,axiom,
( check_cpq(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')))
| ok(triple(X,Y,Z))
| ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
| ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).
cnf(57,axiom,
( ok(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')))
| check_cpq(triple(X,Y,Z))
| ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
| ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).
cnf(58,axiom,
( ok(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')))
| ok(triple(X,Y,Z))
| ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
| ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).
cnf(59,axiom,
( check_cpq(triple(X,Y,Z))
| ~ check_cpq(im_succ_cpq(triple(X,Y,Z)))
| ~ ok(im_succ_cpq(triple(X,Y,Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_l13) ).
cnf(60,axiom,
( ok(triple(X,Y,Z))
| ~ check_cpq(im_succ_cpq(triple(X,Y,Z)))
| ~ ok(im_succ_cpq(triple(X,Y,Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_l13) ).
cnf(61,negated_conjecture,
( ~ check_cpq(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9'))
| ~ ok(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_co) ).
cnf(62,negated_conjecture,
succ_cpq(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9'),triple('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV12')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_co) ).
cnf(63,negated_conjecture,
ok(triple('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV12')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_co) ).
cnf(64,negated_conjecture,
check_cpq(triple('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV12')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_co) ).
cnf(156,plain,
( check_cpq(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')))
| check_cpq(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9')) ),
inference('HYPERRESOLVE',[status(thm)],[55,62,63,64]) ).
cnf(159,plain,
( check_cpq(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')))
| ok(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9')) ),
inference('HYPERRESOLVE',[status(thm)],[56,62,63,64]) ).
cnf(163,plain,
( ok(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')))
| check_cpq(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9')) ),
inference('HYPERRESOLVE',[status(thm)],[57,62,63,64]) ).
cnf(166,plain,
( ok(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')))
| ok(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9')) ),
inference('HYPERRESOLVE',[status(thm)],[58,62,63,64]) ).
cnf(984,plain,
check_cpq(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6'))),
inference('HYPERRESOLVE',[status(thm)],[61,159,156]) ).
cnf(985,plain,
( check_cpq(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9'))
| ok(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')) ),
inference('HYPERRESOLVE',[status(thm)],[60,163,984]) ).
cnf(986,plain,
( check_cpq(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9'))
| check_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')) ),
inference('HYPERRESOLVE',[status(thm)],[59,163,984]) ).
cnf(1451,plain,
( check_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6'))
| 'SKOLEMAAAV9' = bad ),
inference('HYPERRESOLVE',[status(thm)],[61,986,38]) ).
cnf(1457,plain,
( 'SKOLEMAAAV9' = bad
| check_cpq(triple('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV9')) ),
inference('HYPERRESOLVE',[status(thm)],[53,1451,985,62,63,64]) ).
cnf(1462,plain,
'SKOLEMAAAV9' = bad,
inference('HYPERRESOLVE',[status(thm)],[61,1457,38]) ).
cnf(1463,plain,
succ_cpq(triple('SKOLEMAAAV7','SKOLEMAAAV8',bad),triple('SKOLEMAAAV10','SKOLEMAAAV11','SKOLEMAAAV12')),
inference('REWRITE',[status(thm)],[62,1462,theory(equality)]) ).
cnf(1469,plain,
ok(im_succ_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6'))),
inference('REWRITE',[status(thm)],[166,37,1462,theory(equality)]) ).
cnf(1510,plain,
ok(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[60,1469,984]) ).
cnf(1512,plain,
( ~ check_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6'))
| ok(triple(X,Y,Z))
| ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
| ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ),
inference('REWRITE',[status(thm)],[54,1510]) ).
cnf(1520,plain,
check_cpq(triple('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[59,1469,984]) ).
cnf(1522,plain,
( ok(triple(X,Y,Z))
| ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
| ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ),
inference('REWRITE',[status(thm)],[1512,1520]) ).
cnf(1531,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[1522,37,1463,63,64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 16:59:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T16:59:20
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-14T16:59:20
% 0.80/1.02
% 0.80/1.02
% 0.80/1.02 #||
% 0.80/1.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/1.02 % SZS output start Refutation
% See solution above
% 0.80/1.03 ||#
% 0.80/1.03
% 0.80/1.03 ; Summary of computation:
% 0.80/1.03 ; 7878 formulas have been input or derived (from 328 formulas).
% 0.80/1.03 ; 1531 (19%) were retained. Of these,
% 0.80/1.03 ; 150 (10%) were simplified or subsumed later,
% 0.80/1.03 ; 1381 (90%) are still being kept.
% 0.80/1.03 ;
% 0.80/1.03 ; Run time in seconds excluding printing time:
% 0.80/1.03 ; 0.012 2% Read assertion file (1 call)
% 0.80/1.03 ; 0.003 1% Assert (44 calls)
% 0.80/1.03 ; 0.136 24% Process new row (7,776 calls)
% 0.80/1.03 ; 0.057 10% Resolution (654 calls)
% 0.80/1.03 ; 0.035 6% Paramodulation (327 calls)
% 0.80/1.03 ; 0.000 0% Factoring (17 calls)
% 0.80/1.03 ; 0.016 3% Condensing (567 calls)
% 0.80/1.03 ; 0.026 5% Forward subsumption (567 calls)
% 0.80/1.03 ; 0.003 1% Backward subsumption (260 calls)
% 0.80/1.03 ; 0.007 1% Clause clause subsumption (716 calls)
% 0.80/1.03 ; 0.166 30% Forward simplification (7,746 calls)
% 0.80/1.03 ; 0.017 3% Backward simplification (1,531 calls)
% 0.80/1.03 ; 0.025 4% Ordering (10,698 calls)
% 0.80/1.03 ; 0.001 0% Sortal reasoning (32 calls)
% 0.80/1.03 ; 0.000 0% Purity testing (1 call)
% 0.80/1.03 ; 0.052 9% Other
% 0.80/1.03 ; 0.556 Total
% 0.80/1.03 ; 0.559 Real time
% 0.80/1.03 ;
% 0.80/1.03 ; Term-hash-array has 2,871 terms in all.
% 0.80/1.03 ; Feature-vector-row-index has 180 entries (216 at peak, 260 added, 80 deleted).
% 0.80/1.03 ; Feature-vector-row-index has 1,327 nodes (1,826 at peak, 2,265 added, 938 deleted).
% 0.80/1.03 ; Retrieved 1,159 possibly forward subsuming rows in 567 calls.
% 0.80/1.03 ; Retrieved 47 possibly backward subsumed rows in 260 calls.
% 0.80/1.03 ; Path-index has 2,759 entries (2,784 at peak, 2,978 added, 219 deleted).
% 0.80/1.03 ; Path-index has 7,198 nodes (7,209 at peak, 7,569 added, 371 deleted).
% 0.80/1.03 ; Trie-index has 2,759 entries (2,784 at peak, 2,978 added, 219 deleted).
% 0.80/1.03 ; Trie-index has 10,561 nodes (10,606 at peak, 11,326 added, 765 deleted).
% 0.80/1.03 ; Retrieved 33,037 generalization terms in 45,089 calls.
% 0.80/1.03 ; Retrieved 1,310 instance terms in 1,274 calls.
% 0.80/1.03 ; Retrieved 17,668 unifiable terms in 3,710 calls.
% 0.80/1.03 ;
% 0.80/1.03 ; The agenda of rows to process has 27 entries:
% 0.80/1.03 ; 7 with value 8 2 with value 15 2 with value 39
% 0.80/1.03 ; 1 with value 10 4 with value 19 2 with value 40
% 0.80/1.03 ; 4 with value 12 1 with value 37 1 with value 42
% 0.80/1.03 ; 1 with value 14 1 with value 38 1 with value 43
% 0.80/1.03 ; The agenda of rows to give has 1082 entries:
% 0.80/1.03 ; 1 with value (4 8) 9 with value (4 26) 2 with value (4 42)
% 0.80/1.03 ; 2 with value (4 10) 4 with value (4 27) 1 with value (4 44)
% 0.80/1.03 ; 1 with value (4 12) 14 with value (4 28) 2 with value (4 45)
% 0.80/1.03 ; 2 with value (4 14) 17 with value (4 29) 1 with value (4 47)
% 0.80/1.03 ; 2 with value (4 15) 30 with value (4 30) 2 with value (4 48)
% 0.80/1.03 ; 4 with value (4 17) 42 with value (4 31) 5 with value (4 49)
% 0.80/1.03 ; 129 with value (4 18) 73 with value (4 32) 2 with value (4 53)
% 0.80/1.03 ; 136 with value (4 19) 63 with value (4 33) 1 with value (4 54)
% 0.80/1.03 ; 229 with value (4 20) 33 with value (4 34) 1 with value (4 55)
% 0.80/1.03 ; 159 with value (4 21) 3 with value (4 35) 2 with value (4 58)
% 0.80/1.03 ; 20 with value (4 22) 1 with value (4 38) 1 with value (4 60)
% 0.80/1.03 ; 27 with value (4 23) 2 with value (4 39) 1 with value (4 62)
% 0.80/1.03 ; 25 with value (4 24) 2 with value (4 40) 1 with value (4 80)
% 0.80/1.03 ; 28 with value (4 25) 1 with value (4 41) 1 with value (4 85)
% 0.80/1.03 Evaluation took:
% 0.80/1.03 0.559 seconds of real time
% 0.80/1.03 0.517974 seconds of user run time
% 0.80/1.03 0.04153 seconds of system run time
% 0.80/1.03 [Run times include 0.031 seconds GC run time.]
% 0.80/1.03 0 calls to %EVAL
% 0.80/1.03 0 page faults and
% 0.80/1.03 42,800,304 bytes consed.
% 0.80/1.03 :PROOF-FOUND
% 0.80/1.03 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T16:59:20
% 0.80/1.03 :PROOF-FOUND
% 0.80/1.03 *
%------------------------------------------------------------------------------