%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP012+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 00:33:16 EDT 2022
% Result : Theorem 1.86s 2.12s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 11 unt; 2 nHn; 20 RR)
% Number of literals : 41 ( 2 equ; 22 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ mem(X,arr(Y,Z))
| ~ mem(U,Y)
| mem(ap(X,U),Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
cnf(20,axiom,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__neg) ).
cnf(62,axiom,
( ~ mem(X,ty_2Einteger_2Eint)
| ~ mem(Y,ty_2Einteger_2Eint)
| ap(ap(c_2Einteger_2Eint__sub,X),Y) = ap(ap(c_2Einteger_2Eint__add,X),ap(c_2Einteger_2Eint__neg,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Einteger_2Eint__sub) ).
cnf(63,axiom,
( ~ mem(X,ty_2Einteger_2Eint)
| ~ mem(Y,ty_2Einteger_2Eint)
| ~ mem(Z,ty_2Einteger_2Eint)
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X),Y))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X),ap(ap(c_2Einteger_2Eint__add,Z),Y)))
| p(ap(ap(c_2Einteger_2Eint__divides,X),Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).
cnf(64,axiom,
( ~ mem(X,ty_2Einteger_2Eint)
| ~ mem(Y,ty_2Einteger_2Eint)
| ~ mem(Z,ty_2Einteger_2Eint)
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X),Y))
| p(ap(ap(c_2Einteger_2Eint__divides,X),ap(ap(c_2Einteger_2Eint__add,Z),Y)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X),Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).
cnf(66,axiom,
( ~ mem(X,ty_2Einteger_2Eint)
| ~ mem(Y,ty_2Einteger_2Eint)
| p(ap(ap(c_2Einteger_2Eint__divides,X),ap(c_2Einteger_2Eint__neg,Y)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X),Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).
cnf(69,negated_conjecture,
mem('SKOLEMAAAO9',ty_2Einteger_2Eint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
cnf(70,negated_conjecture,
mem('SKOLEMAAAO10',ty_2Einteger_2Eint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
cnf(71,negated_conjecture,
mem('SKOLEMAAAO11',ty_2Einteger_2Eint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
cnf(72,negated_conjecture,
p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),'SKOLEMAAAO10')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
cnf(73,negated_conjecture,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),ap(ap(c_2Einteger_2Eint__sub,'SKOLEMAAAO11'),'SKOLEMAAAO10')))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),'SKOLEMAAAO11')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
cnf(74,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),ap(ap(c_2Einteger_2Eint__sub,'SKOLEMAAAO11'),'SKOLEMAAAO10')))
| p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),'SKOLEMAAAO11')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
cnf(122,plain,
mem(ap(c_2Einteger_2Eint__neg,'SKOLEMAAAO10'),ty_2Einteger_2Eint),
inference('HYPERRESOLVE',[status(thm)],[4,20,70]) ).
cnf(160,plain,
ap(ap(c_2Einteger_2Eint__sub,'SKOLEMAAAO11'),'SKOLEMAAAO10') = ap(ap(c_2Einteger_2Eint__add,'SKOLEMAAAO11'),ap(c_2Einteger_2Eint__neg,'SKOLEMAAAO10')),
inference('HYPERRESOLVE',[status(thm)],[62,71,70]) ).
cnf(161,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),ap(ap(c_2Einteger_2Eint__add,'SKOLEMAAAO11'),ap(c_2Einteger_2Eint__neg,'SKOLEMAAAO10'))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),'SKOLEMAAAO11')) ),
inference('REWRITE',[status(thm)],[73,160,theory(equality)]) ).
cnf(162,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),ap(ap(c_2Einteger_2Eint__add,'SKOLEMAAAO11'),ap(c_2Einteger_2Eint__neg,'SKOLEMAAAO10'))))
| p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),'SKOLEMAAAO11')) ),
inference('REWRITE',[status(thm)],[74,160,theory(equality)]) ).
cnf(180,plain,
p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),ap(c_2Einteger_2Eint__neg,'SKOLEMAAAO10'))),
inference('HYPERRESOLVE',[status(thm)],[66,69,70,72]) ).
cnf(5543,plain,
p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),'SKOLEMAAAO11')),
inference('HYPERRESOLVE',[status(thm)],[63,180,69,122,71,162]) ).
cnf(5544,plain,
~ p(ap(ap(c_2Einteger_2Eint__divides,'SKOLEMAAAO9'),ap(ap(c_2Einteger_2Eint__add,'SKOLEMAAAO11'),ap(c_2Einteger_2Eint__neg,'SKOLEMAAAO10')))),
inference('REWRITE',[status(thm)],[161,5543]) ).
cnf(5550,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[64,5544,69,122,71,180]),5543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ITP012+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.02/0.12 % Command : run-snark %s %d
% 0.08/0.32 % Computer : n032.cluster.edu
% 0.08/0.32 % Model : x86_64 x86_64
% 0.08/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32 % Memory : 8042.1875MB
% 0.08/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.32 % CPULimit : 300
% 0.08/0.32 % WCLimit : 600
% 0.08/0.32 % DateTime : Fri Jun 3 02:52:31 EDT 2022
% 0.08/0.32 % CPUTime :
% 0.12/0.40 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41 *
% 0.12/0.41 *
% 0.12/0.41 #<PACKAGE "SNARK-USER">
% 0.12/0.41 *
% 0.12/0.41 SNARK-TPTP-OPTIONS
% 0.12/0.41 *
% 0.12/0.41 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.41 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.41 (USE-FACTORING :POS)
% 0.12/0.41 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.41 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.41 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.41 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.41 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.41 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.41 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.41 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.41 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.41 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.41 *
% 0.12/0.41 "."
% 0.12/0.41 *
% 0.12/0.41 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T02:52:31
% 0.12/0.41 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-03T02:52:31
% 1.86/2.12
% 1.86/2.12
% 1.86/2.12 #||
% 1.86/2.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.86/2.12 % SZS output start Refutation
% See solution above
% 1.86/2.12 ||#
% 1.86/2.12
% 1.86/2.12 ; Summary of computation:
% 1.86/2.12 ; 13290 formulas have been input or derived (from 219 formulas).
% 1.86/2.12 ; 5550 (42%) were retained. Of these,
% 1.86/2.12 ; 106 ( 2%) were simplified or subsumed later,
% 1.86/2.12 ; 5444 (98%) are still being kept.
% 1.86/2.12 ;
% 1.86/2.12 ; Run time in seconds excluding printing time:
% 1.86/2.12 ; 0.010 1% Read assertion file (1 call)
% 1.86/2.12 ; 0.003 0% Assert (57 calls)
% 1.86/2.12 ; 0.501 30% Process new row (12,821 calls)
% 1.86/2.12 ; 0.887 53% Resolution (436 calls)
% 1.86/2.12 ; 0.005 0% Paramodulation (218 calls)
% 1.86/2.12 ; 0.000 0% Factoring (2 calls)
% 1.86/2.12 ; 0.001 0% Condensing (846 calls)
% 1.86/2.12 ; 0.058 3% Forward subsumption (846 calls)
% 1.86/2.12 ; 0.016 1% Backward subsumption (488 calls)
% 1.86/2.12 ; 0.005 0% Clause clause subsumption (1,156 calls)
% 1.86/2.12 ; 0.097 6% Forward simplification (11,994 calls)
% 1.86/2.12 ; 0.025 1% Backward simplification (5,550 calls)
% 1.86/2.12 ; 0.002 0% Ordering (930 calls)
% 1.86/2.12 ; 0.001 0% Sortal reasoning (32 calls)
% 1.86/2.12 ; 0.000 0% Purity testing (1 call)
% 1.86/2.12 ; 0.062 4% Other
% 1.86/2.12 ; 1.673 Total
% 1.86/2.12 ; 1.713 Real time
% 1.86/2.12 ;
% 1.86/2.12 ; Term-hash-array has 10,845 terms in all.
% 1.86/2.12 ; Feature-vector-row-index has 460 entries (474 at peak, 488 added, 28 deleted).
% 1.86/2.12 ; Feature-vector-row-index has 2,754 nodes (2,852 at peak, 3,002 added, 248 deleted).
% 1.86/2.12 ; Retrieved 1,603 possibly forward subsuming rows in 846 calls.
% 1.86/2.12 ; Retrieved 251 possibly backward subsumed rows in 488 calls.
% 1.86/2.12 ; Path-index has 10,711 entries (10,711 at peak, 10,875 added, 164 deleted).
% 1.86/2.12 ; Path-index has 2,151 nodes (2,151 at peak, 2,240 added, 89 deleted).
% 1.86/2.12 ; Trie-index has 10,711 entries (10,711 at peak, 10,875 added, 164 deleted).
% 1.86/2.12 ; Trie-index has 20,150 nodes (20,150 at peak, 20,762 added, 612 deleted).
% 1.86/2.12 ; Retrieved 6,590 generalization terms in 20,591 calls.
% 1.86/2.12 ; Retrieved 5,061 instance terms in 5,061 calls.
% 1.86/2.12 ; Retrieved 1,313,344 unifiable terms in 74,593 calls.
% 1.86/2.12 ;
% 1.86/2.12 ; The agenda of rows to give has 5245 entries:
% 1.86/2.12 ; 1 with value (4 11) 2953 with value (4 19) 41 with value (4 26)
% 1.86/2.12 ; 61 with value (4 12) 54 with value (4 20) 30 with value (4 27)
% 1.86/2.12 ; 127 with value (4 13) 15 with value (4 21) 57 with value (4 28)
% 1.86/2.12 ; 39 with value (4 14) 47 with value (4 22) 3 with value (4 29)
% 1.86/2.12 ; 370 with value (4 15) 34 with value (4 23) 40 with value (4 31)
% 1.86/2.12 ; 33 with value (4 16) 216 with value (4 24) 40 with value (4 33)
% 1.86/2.12 ; 1010 with value (4 17) 13 with value (4 25) 16 with value (4 38)
% 1.86/2.12 ; 45 with value (4 18)
% 1.86/2.12 Evaluation took:
% 1.86/2.12 1.714 seconds of real time
% 1.86/2.12 1.599186 seconds of user run time
% 1.86/2.12 0.078139 seconds of system run time
% 1.86/2.12 [Run times include 0.166 seconds GC run time.]
% 1.86/2.12 0 calls to %EVAL
% 1.86/2.12 0 page faults and
% 1.86/2.12 107,149,080 bytes consed.
% 1.86/2.12 :PROOF-FOUND
% 1.86/2.12 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T02:52:33
% 1.86/2.13 :PROOF-FOUND
% 1.86/2.13 *
%------------------------------------------------------------------------------