%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP006_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 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 : Sun Jul 17 00:33:07 EDT 2022
% Result : Theorem 28.89s 29.04s
% Output : Refutation 28.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 60 ( 30 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 118 ( 118 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $i,Y: del,Z: del,U: $i] :
( ~ mem(X,arr(Y,Z))
| ~ mem(U,Y)
| mem(ap(X,U),Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001_2.ax',ap_tp) ).
tff(69,axiom,
! [X: $i,Y: del,Z: del,U: $i,V: $i,W: $i,X1: $i] :
( ~ mem(X,arr(Y,Z))
| ~ mem(U,arr(Z,bool))
| ~ mem(V,arr(Y,Z))
| ~ mem(W,arr(Z,bool))
| ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(Y,Z),V),W))
| ~ mem(X1,Y)
| ~ p(ap(W,ap(V,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__REWRITES) ).
tff(70,plain,
! [X: $i,Y: del,Z: del,U: $i,V: $i] :
( ~ mem(X,arr(Y,Z))
| ~ mem(U,arr(Z,bool))
| ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(Y,Z),X),U))
| ~ mem(V,Y)
| ~ p(ap(U,ap(X,V))) ),
inference('CONDENSE',[status(thm)],[69]) ).
tff(71,axiom,
! [X: $i,Y: del,Z: del,U: $i,V: $i,W: $i] :
( ~ mem(X,arr(Y,Z))
| ~ mem(U,arr(Z,bool))
| ~ mem(V,arr(Y,Z))
| ~ mem(W,arr(Z,bool))
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(Y,Z),V),W))
| mem('SKOLEMAAAV9.$i'(Y,W,V),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__REWRITES) ).
tff(72,plain,
! [X: $i,Y: del,Z: del,U: $i] :
( ~ mem(X,arr(Y,Z))
| ~ mem(U,arr(Z,bool))
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(Y,Z),X),U))
| mem('SKOLEMAAAV9.$i'(Y,U,X),Y) ),
inference('CONDENSE',[status(thm)],[71]) ).
tff(73,axiom,
! [X: $i,Y: del,Z: del,U: $i,V: $i,W: $i] :
( ~ mem(X,arr(Y,Z))
| ~ mem(U,arr(Z,bool))
| ~ mem(V,arr(Y,Z))
| ~ mem(W,arr(Z,bool))
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(Y,Z),V),W))
| p(ap(W,ap(V,'SKOLEMAAAV9.$i'(Y,W,V)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__REWRITES) ).
tff(74,plain,
! [X: $i,Y: del,Z: del,U: $i] :
( ~ mem(X,arr(Y,Z))
| ~ mem(U,arr(Z,bool))
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(Y,Z),X),U))
| p(ap(U,ap(X,'SKOLEMAAAV9.$i'(Y,U,X)))) ),
inference('CONDENSE',[status(thm)],[73]) ).
tff(95,negated_conjecture,
mem('SKOLEMAAAV16.$i',arr('SKOLEMAAAV15.del','SKOLEMAAAV14.del')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
tff(96,negated_conjecture,
mem('SKOLEMAAAV17.$i',arr('SKOLEMAAAV14.del',bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
tff(97,negated_conjecture,
mem('SKOLEMAAAV18.$i',arr('SKOLEMAAAV14.del',bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
tff(98,negated_conjecture,
! [X: $i] :
( ~ mem(X,'SKOLEMAAAV14.del')
| ~ p(ap('SKOLEMAAAV18.$i',X))
| p(ap('SKOLEMAAAV17.$i',X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
tff(99,negated_conjecture,
p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT('SKOLEMAAAV15.del','SKOLEMAAAV14.del'),'SKOLEMAAAV16.$i'),'SKOLEMAAAV17.$i')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
tff(100,negated_conjecture,
~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT('SKOLEMAAAV15.del','SKOLEMAAAV14.del'),'SKOLEMAAAV16.$i'),'SKOLEMAAAV18.$i')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
tff(456,plain,
mem('SKOLEMAAAV9.$i'('SKOLEMAAAV15.del','SKOLEMAAAV18.$i','SKOLEMAAAV16.$i'),'SKOLEMAAAV15.del'),
inference('UR-RESOLVE',[status(thm)],[72,95,97,100]) ).
tff(907,plain,
p(ap('SKOLEMAAAV18.$i',ap('SKOLEMAAAV16.$i','SKOLEMAAAV9.$i'('SKOLEMAAAV15.del','SKOLEMAAAV18.$i','SKOLEMAAAV16.$i')))),
inference('UR-RESOLVE',[status(thm)],[74,95,97,100]) ).
tff(956,plain,
mem(ap('SKOLEMAAAV16.$i','SKOLEMAAAV9.$i'('SKOLEMAAAV15.del','SKOLEMAAAV18.$i','SKOLEMAAAV16.$i')),'SKOLEMAAAV14.del'),
inference('HYPERRESOLVE',[status(thm)],[1,456,95]) ).
tff(958,plain,
~ p(ap('SKOLEMAAAV17.$i',ap('SKOLEMAAAV16.$i','SKOLEMAAAV9.$i'('SKOLEMAAAV15.del','SKOLEMAAAV18.$i','SKOLEMAAAV16.$i')))),
inference('UR-RESOLVE',[status(thm)],[70,456,95,96,99]) ).
cnf(14422,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[98,907,956]),958]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP006_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n020.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 : Sat Jun 4 02:48:22 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 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T02:48:23
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-04T02:48:23
% 28.89/29.04
% 28.89/29.04
% 28.89/29.04 #||
% 28.89/29.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.89/29.04 % SZS output start Refutation
% See solution above
% 28.89/29.04 ||#
% 28.89/29.04
% 28.89/29.04 ; Summary of computation:
% 28.89/29.04 ; 29180 formulas have been input or derived (from 238 formulas).
% 28.89/29.04 ; 14422 (49%) were retained. Of these,
% 28.89/29.04 ; 804 ( 6%) were simplified or subsumed later,
% 28.89/29.04 ; 13618 (94%) are still being kept.
% 28.89/29.04 ;
% 28.89/29.04 ; Run time in seconds excluding printing time:
% 28.89/29.04 ; 0.024 0% Read assertion file (1 call)
% 28.89/29.04 ; 0.006 0% Assert (58 calls)
% 28.89/29.04 ; 1.920 7% Process new row (28,543 calls)
% 28.89/29.04 ; 18.976 66% Resolution (474 calls)
% 28.89/29.04 ; 0.007 0% Paramodulation (237 calls)
% 28.89/29.04 ; 0.000 0% Factoring (10 calls)
% 28.89/29.04 ; 0.065 0% Condensing (14,088 calls)
% 28.89/29.04 ; 4.751 17% Forward subsumption (14,088 calls)
% 28.89/29.04 ; 1.834 6% Backward subsumption (12,876 calls)
% 28.89/29.04 ; 0.015 0% Clause clause subsumption (6,346 calls)
% 28.89/29.04 ; 0.586 2% Forward simplification (19,026 calls)
% 28.89/29.04 ; 0.116 0% Backward simplification (14,406 calls)
% 28.89/29.04 ; 0.068 0% Ordering (23,982 calls)
% 28.89/29.04 ; 0.044 0% Sortal reasoning (54,084 calls)
% 28.89/29.04 ; 0.000 0% Purity testing (1 call)
% 28.89/29.04 ; 0.139 0% Other
% 28.89/29.04 ; 28.551 Total
% 28.89/29.04 ; 28.558 Real time
% 28.89/29.04 ;
% 28.89/29.06 ; Term-hash-array has 31,279 terms in all.
% 28.89/29.06 ; Feature-vector-row-index has 12,148 entries (12,235 at peak, 12,876 added, 728 deleted).
% 28.89/29.06 ; Feature-vector-row-index has 123,457 nodes (123,961 at peak, 130,902 added, 7,445 deleted).
% 28.89/29.06 ; Retrieved 9,407 possibly forward subsuming rows in 14,088 calls.
% 28.89/29.06 ; Retrieved 1,960 possibly backward subsumed rows in 12,876 calls.
% 28.89/29.06 ; Path-index has 29,960 entries (30,087 at peak, 31,366 added, 1,406 deleted).
% 28.89/29.06 ; Path-index has 8,111 nodes (8,115 at peak, 8,150 added, 39 deleted).
% 28.89/29.06 ; Trie-index has 29,960 entries (30,087 at peak, 31,366 added, 1,406 deleted).
% 28.89/29.06 ; Trie-index has 86,985 nodes (87,261 at peak, 89,399 added, 2,414 deleted).
% 28.89/29.06 ; Retrieved 3,736 generalization terms in 128,757 calls.
% 28.89/29.06 ; Retrieved 1,532 instance terms in 1,529 calls.
% 28.89/29.06 ; Retrieved 26,238,481 unifiable terms in 687,890 calls.
% 28.89/29.06 ;
% 28.89/29.06 ; The agenda of rows to give has 13435 entries:
% 28.89/29.06 ; 1 with value (4 11) 326 with value (4 30) 166 with value (4 47)
% 28.89/29.06 ; 37 with value (4 14) 334 with value (4 31) 69 with value (4 48)
% 28.89/29.06 ; 72 with value (4 15) 643 with value (4 32) 55 with value (4 49)
% 28.89/29.06 ; 120 with value (4 16) 374 with value (4 33) 36 with value (4 50)
% 28.89/29.06 ; 186 with value (4 17) 334 with value (4 34) 13 with value (4 51)
% 28.89/29.06 ; 236 with value (4 18) 671 with value (4 35) 53 with value (4 52)
% 28.89/29.06 ; 306 with value (4 19) 725 with value (4 36) 41 with value (4 53)
% 28.89/29.06 ; 276 with value (4 20) 553 with value (4 37) 10 with value (4 54)
% 28.89/29.06 ; 169 with value (4 21) 828 with value (4 38) 46 with value (4 55)
% 28.89/29.06 ; 93 with value (4 22) 944 with value (4 39) 19 with value (4 56)
% 28.89/29.06 ; 85 with value (4 23) 724 with value (4 40) 11 with value (4 57)
% 28.89/29.06 ; 121 with value (4 24) 936 with value (4 41) 10 with value (4 58)
% 28.89/29.06 ; 85 with value (4 25) 774 with value (4 42) 7 with value (4 59)
% 28.89/29.06 ; 130 with value (4 26) 765 with value (4 43) 4 with value (4 63)
% 28.89/29.06 ; 206 with value (4 27) 602 with value (4 44) 4 with value (4 67)
% 28.89/29.06 ; 211 with value (4 28) 549 with value (4 45) 72 with value (4 77)
% 28.89/29.06 ; 172 with value (4 29) 219 with value (4 46) 12 with value (4 86)
% 28.89/29.06 Evaluation took:
% 28.89/29.06 28.573 seconds of real time
% 28.89/29.06 27.83345 seconds of user run time
% 28.89/29.06 0.734723 seconds of system run time
% 28.89/29.06 [Run times include 2.941 seconds GC run time.]
% 28.89/29.06 0 calls to %EVAL
% 28.89/29.06 0 page faults and
% 28.89/29.06 1,774,217,448 bytes consed.
% 28.89/29.06 :PROOF-FOUND
% 28.89/29.06 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T02:48:51
% 28.89/29.06 :PROOF-FOUND
% 28.89/29.06 *
%------------------------------------------------------------------------------