TSTP Solution File: SEU197+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU197+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:20:02 EDT 2022
% Result : Theorem 2.43s 2.61s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 10 unt; 8 nHn; 22 RR)
% Number of literals : 66 ( 10 equ; 35 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 35 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y != relation_rng_restriction(Z,X)
| ~ in(ordered_pair(U,V),Y)
| in(V,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
cnf(4,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y != relation_rng_restriction(Z,X)
| ~ in(ordered_pair(U,V),Y)
| in(ordered_pair(U,V),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
cnf(5,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y != relation_rng_restriction(Z,X)
| in(ordered_pair(U,V),Y)
| ~ in(V,Z)
| ~ in(ordered_pair(U,V),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
cnf(6,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y = relation_rng_restriction(Z,X)
| ~ in(ordered_pair('SKOLEMAAAU1'(Y,Z,X),'SKOLEMAAAU2'(Y,Z,X)),Y)
| ~ in('SKOLEMAAAU2'(Y,Z,X),Z)
| ~ in(ordered_pair('SKOLEMAAAU1'(Y,Z,X),'SKOLEMAAAU2'(Y,Z,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
cnf(8,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y = relation_rng_restriction(Z,X)
| in(ordered_pair('SKOLEMAAAU1'(Y,Z,X),'SKOLEMAAAU2'(Y,Z,X)),Y)
| in(ordered_pair('SKOLEMAAAU1'(Y,Z,X),'SKOLEMAAAU2'(Y,Z,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
cnf(9,axiom,
( ~ relation(X)
| Y != relation_rng(X)
| ~ in(Z,Y)
| in(ordered_pair('SKOLEMAAAU3'(Z,X),Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
cnf(10,axiom,
( ~ relation(X)
| Y != relation_rng(X)
| in(Z,Y)
| ~ in(ordered_pair(U,Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
cnf(14,axiom,
( ~ relation(X)
| relation(relation_rng_restriction(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
cnf(30,negated_conjecture,
relation('SKOLEMAAAU13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
cnf(31,negated_conjecture,
( ~ in('SKOLEMAAAU11',relation_rng(relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')))
| ~ in('SKOLEMAAAU11','SKOLEMAAAU12')
| ~ in('SKOLEMAAAU11',relation_rng('SKOLEMAAAU13')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
cnf(32,negated_conjecture,
( in('SKOLEMAAAU11',relation_rng(relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')))
| in('SKOLEMAAAU11','SKOLEMAAAU12') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
cnf(33,negated_conjecture,
( in('SKOLEMAAAU11',relation_rng(relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')))
| in('SKOLEMAAAU11',relation_rng('SKOLEMAAAU13')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
cnf(45,plain,
relation(relation_rng_restriction(X,'SKOLEMAAAU13')),
inference('HYPERRESOLVE',[status(thm)],[14,30]) ).
cnf(71,plain,
( 'SKOLEMAAAU13' = relation_rng_restriction(X,'SKOLEMAAAU13')
| in(ordered_pair('SKOLEMAAAU1'('SKOLEMAAAU13',X,'SKOLEMAAAU13'),'SKOLEMAAAU2'('SKOLEMAAAU13',X,'SKOLEMAAAU13')),'SKOLEMAAAU13') ),
inference('HYPERRESOLVE',[status(thm)],[8,30,30]) ).
cnf(90,plain,
( in('SKOLEMAAAU11','SKOLEMAAAU12')
| in(ordered_pair('SKOLEMAAAU3'('SKOLEMAAAU11',relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')),'SKOLEMAAAU11'),relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')) ),
inference('HYPERRESOLVE',[status(thm)],[9,45,32,theory(equality)]) ).
cnf(91,plain,
( in('SKOLEMAAAU11',relation_rng('SKOLEMAAAU13'))
| in(ordered_pair('SKOLEMAAAU3'('SKOLEMAAAU11',relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')),'SKOLEMAAAU11'),relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')) ),
inference('HYPERRESOLVE',[status(thm)],[9,45,33,theory(equality)]) ).
cnf(1503,plain,
in('SKOLEMAAAU11','SKOLEMAAAU12'),
inference('HYPERRESOLVE',[status(thm)],[3,90,30,45,theory(equality)]) ).
cnf(1504,plain,
( ~ in('SKOLEMAAAU11',relation_rng(relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')))
| ~ in('SKOLEMAAAU11',relation_rng('SKOLEMAAAU13')) ),
inference('REWRITE',[status(thm)],[31,1503]) ).
cnf(2420,plain,
( 'SKOLEMAAAU13' = relation_rng_restriction(X,'SKOLEMAAAU13')
| in('SKOLEMAAAU2'('SKOLEMAAAU13',X,'SKOLEMAAAU13'),relation_rng('SKOLEMAAAU13')) ),
inference('HYPERRESOLVE',[status(thm)],[10,71,30,theory(equality)]) ).
cnf(2422,plain,
'SKOLEMAAAU13' = relation_rng_restriction(relation_rng('SKOLEMAAAU13'),'SKOLEMAAAU13'),
inference('HYPERRESOLVE',[status(thm)],[6,2420,30,30,71,71]) ).
cnf(3224,plain,
( in('SKOLEMAAAU11',relation_rng('SKOLEMAAAU13'))
| in(ordered_pair('SKOLEMAAAU3'('SKOLEMAAAU11',relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')),'SKOLEMAAAU11'),'SKOLEMAAAU13') ),
inference('HYPERRESOLVE',[status(thm)],[4,91,30,45,theory(equality)]) ).
cnf(3228,plain,
in('SKOLEMAAAU11',relation_rng('SKOLEMAAAU13')),
inference('HYPERRESOLVE',[status(thm)],[3,3224,30,30,2422]) ).
cnf(3229,plain,
~ in('SKOLEMAAAU11',relation_rng(relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13'))),
inference('REWRITE',[status(thm)],[1504,3228]) ).
cnf(3231,plain,
~ in(ordered_pair(X,'SKOLEMAAAU11'),relation_rng_restriction('SKOLEMAAAU12','SKOLEMAAAU13')),
inference('UR-RESOLVE',[status(thm)],[10,3229,45,theory(equality)]) ).
cnf(3247,plain,
in(ordered_pair('SKOLEMAAAU3'('SKOLEMAAAU11','SKOLEMAAAU13'),'SKOLEMAAAU11'),'SKOLEMAAAU13'),
inference('HYPERRESOLVE',[status(thm)],[9,3228,30,theory(equality)]) ).
cnf(3251,plain,
~ in(ordered_pair(X,'SKOLEMAAAU11'),'SKOLEMAAAU13'),
inference('UR-RESOLVE',[status(thm)],[5,3231,30,45,1503,theory(equality)]) ).
cnf(3252,plain,
$false,
inference('REWRITE',[status(thm)],[3247,3251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU197+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Sun Jun 19 04:51:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-19T04:51:29
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-19T04:51:29
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 2.43/2.61 ; Declaring unordered_pair to be commutative.
% 2.43/2.61
% 2.43/2.61 #||
% 2.43/2.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.43/2.61 % SZS output start Refutation
% See solution above
% 2.43/2.62 ||#
% 2.43/2.62
% 2.43/2.62 ; Summary of computation:
% 2.43/2.62 ; 5178 formulas have been input or derived (from 468 formulas).
% 2.43/2.62 ; 3252 (63%) were retained. Of these,
% 2.43/2.62 ; 172 ( 5%) were simplified or subsumed later,
% 2.43/2.62 ; 3080 (95%) are still being kept.
% 2.43/2.62 ;
% 2.43/2.62 ; Run time in seconds excluding printing time:
% 2.43/2.62 ; 0.005 0% Read assertion file (1 call)
% 2.43/2.62 ; 0.001 0% Assert (31 calls)
% 2.43/2.62 ; 0.321 15% Process new row (4,937 calls)
% 2.43/2.62 ; 1.439 67% Resolution (934 calls)
% 2.43/2.62 ; 0.027 1% Paramodulation (467 calls)
% 2.43/2.62 ; 0.000 0% Factoring (34 calls)
% 2.43/2.62 ; 0.010 0% Condensing (444 calls)
% 2.43/2.62 ; 0.039 2% Forward subsumption (444 calls)
% 2.43/2.62 ; 0.012 1% Backward subsumption (372 calls)
% 2.43/2.62 ; 0.000 0% Clause clause subsumption (591 calls)
% 2.43/2.62 ; 0.132 6% Forward simplification (4,922 calls)
% 2.43/2.62 ; 0.094 4% Backward simplification (3,252 calls)
% 2.43/2.62 ; 0.010 0% Ordering (5,975 calls)
% 2.43/2.62 ; 0.000 0% Sortal reasoning (32 calls)
% 2.43/2.62 ; 0.000 0% Purity testing (1 call)
% 2.43/2.62 ; 0.058 3% Other
% 2.43/2.62 ; 2.148 Total
% 2.43/2.62 ; 2.151 Real time
% 2.43/2.62 ;
% 2.43/2.62 ; Term-hash-array has 7,297 terms in all.
% 2.43/2.62 ; Feature-vector-row-index has 328 entries (343 at peak, 372 added, 44 deleted).
% 2.43/2.62 ; Feature-vector-row-index has 2,922 nodes (3,120 at peak, 3,436 added, 514 deleted).
% 2.43/2.62 ; Retrieved 536 possibly forward subsuming rows in 444 calls.
% 2.43/2.62 ; Retrieved 67 possibly backward subsumed rows in 372 calls.
% 2.43/2.62 ; Path-index has 7,086 entries (7,089 at peak, 7,393 added, 307 deleted).
% 2.43/2.62 ; Path-index has 4,125 nodes (4,136 at peak, 4,323 added, 198 deleted).
% 2.43/2.62 ; Trie-index has 7,086 entries (7,089 at peak, 7,393 added, 307 deleted).
% 2.43/2.62 ; Trie-index has 20,018 nodes (20,027 at peak, 21,337 added, 1,319 deleted).
% 2.43/2.62 ; Retrieved 2,212 generalization terms in 22,168 calls.
% 2.43/2.62 ; Retrieved 2,881 instance terms in 2,879 calls.
% 2.43/2.62 ; Retrieved 1,605,486 unifiable terms in 132,215 calls.
% 2.43/2.62 ;
% 2.43/2.62 ; The agenda of rows to process has 13 entries:
% 2.43/2.62 ; 1 with value 12 2 with value 17 2 with value 23
% 2.43/2.62 ; 2 with value 13 2 with value 19 2 with value 27
% 2.43/2.62 ; 2 with value 15
% 2.43/2.62 ; The agenda of rows to give has 2655 entries:
% 2.43/2.62 ; 4 with value (4 11) 4 with value (4 42) 4 with value (4 83)
% 2.43/2.62 ; 2 with value (4 13) 8 with value (4 43) 4 with value (4 84)
% 2.43/2.62 ; 1 with value (4 15) 4 with value (4 44) 4 with value (4 85)
% 2.43/2.62 ; 2 with value (4 16) 2 with value (4 48) 4 with value (4 86)
% 2.43/2.62 ; 1 with value (4 18) 6 with value (4 51) 4 with value (4 87)
% 2.43/2.62 ; 2 with value (4 19) 10 with value (4 52) 4 with value (4 88)
% 2.43/2.62 ; 1 with value (4 20) 6 with value (4 54) 4 with value (4 92)
% 2.43/2.62 ; 2 with value (4 22) 2 with value (4 55) 4 with value (4 93)
% 2.43/2.62 ; 120 with value (4 23) 4 with value (4 56) 4 with value (4 95)
% 2.43/2.62 ; 115 with value (4 24) 4 with value (4 57) 8 with value (4 96)
% 2.43/2.62 ; 137 with value (4 25) 2 with value (4 61) 4 with value (4 98)
% 2.43/2.62 ; 210 with value (4 26) 2 with value (4 63) 4 with value (4 99)
% 2.43/2.62 ; 224 with value (4 27) 10 with value (4 64) 4 with value (4 100)
% 2.43/2.62 ; 320 with value (4 28) 4 with value (4 65) 4 with value (4 101)
% 2.43/2.62 ; 196 with value (4 29) 6 with value (4 66) 4 with value (4 107)
% 2.43/2.62 ; 318 with value (4 30) 4 with value (4 67) 8 with value (4 108)
% 2.43/2.62 ; 176 with value (4 31) 6 with value (4 68) 4 with value (4 109)
% 2.43/2.62 ; 260 with value (4 32) 4 with value (4 69) 4 with value (4 111)
% 2.43/2.62 ; 132 with value (4 33) 4 with value (4 71) 4 with value (4 112)
% 2.43/2.62 ; 164 with value (4 34) 6 with value (4 74) 4 with value (4 118)
% 2.43/2.62 ; 19 with value (4 35) 4 with value (4 76) 4 with value (4 120)
% 2.43/2.62 ; 3 with value (4 36) 2 with value (4 77) 4 with value (4 123)
% 2.43/2.62 ; 2 with value (4 37) 4 with value (4 78) 4 with value (4 124)
% 2.43/2.62 ; 2 with value (4 38) 8 with value (4 79) 4 with value (4 135)
% 2.43/2.62 ; 2 with value (4 40) 4 with value (4 80) 4 with value (4 136)
% 2.43/2.62 ; 2 with value (4 41) 6 with value (4 82) 4 with value (4 148)
% 2.43/2.62 Evaluation took:
% 2.43/2.62 2.152 seconds of real time
% 2.43/2.62 2.051771 seconds of user run time
% 2.43/2.62 0.099883 seconds of system run time
% 2.43/2.62 [Run times include 0.165 seconds GC run time.]
% 2.43/2.62 0 calls to %EVAL
% 2.43/2.62 0 page faults and
% 2.43/2.62 130,387,216 bytes consed.
% 2.43/2.62 :PROOF-FOUND
% 2.43/2.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T04:51:31
% 2.43/2.62 :PROOF-FOUND
% 2.43/2.62 *
%------------------------------------------------------------------------------