TSTP Solution File: HAL006+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HAL006+1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : Sat Jul 16 12:45:58 EDT 2022
% Result : Theorem 0.71s 0.88s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 13 unt; 0 nHn; 21 RR)
% Number of literals : 34 ( 10 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ morphism(X,Y,Z)
| ~ element(U,Y)
| element(apply(X,U),Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax',morphism) ).
cnf(26,axiom,
( ~ element(X,Y)
| ~ element(Z,Y)
| subtract(Y,X,subtract(Y,X,Z)) = Z ),
file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax',subtract_cancellation) ).
cnf(27,axiom,
( ~ morphism(X,Y,Z)
| ~ element(U,Y)
| ~ element(V,Y)
| apply(X,subtract(Y,U,V)) = subtract(Z,apply(X,U),apply(X,V)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax',subtract_distribution) ).
cnf(28,axiom,
morphism(alpha,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',alpha_morphism) ).
cnf(33,axiom,
morphism(g,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_morphism) ).
cnf(50,axiom,
( ~ element(X,e)
| element('SKOLEMAAAV11'(X),b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma8) ).
cnf(52,axiom,
( ~ element(X,e)
| subtract(e,apply(g,'SKOLEMAAAV11'(X)),X) = 'SKOLEMAAAV12'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma8) ).
cnf(53,axiom,
( ~ element(X,e)
| element('SKOLEMAAAV13'(X),a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma8) ).
cnf(55,axiom,
( ~ element(X,e)
| apply(g,apply(alpha,'SKOLEMAAAV13'(X))) = 'SKOLEMAAAV12'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma8) ).
cnf(56,negated_conjecture,
element('SKOLEMAAAV14',e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma12) ).
cnf(57,negated_conjecture,
( ~ element(X,b)
| ~ element(Y,b)
| apply(g,subtract(b,X,Y)) != 'SKOLEMAAAV14' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma12) ).
cnf(60,plain,
element('SKOLEMAAAV11'('SKOLEMAAAV14'),b),
inference('HYPERRESOLVE',[status(thm)],[50,56]) ).
cnf(62,plain,
element('SKOLEMAAAV13'('SKOLEMAAAV14'),a),
inference('HYPERRESOLVE',[status(thm)],[53,56]) ).
cnf(90,plain,
apply(g,apply(alpha,'SKOLEMAAAV13'('SKOLEMAAAV14'))) = 'SKOLEMAAAV12'('SKOLEMAAAV14'),
inference('HYPERRESOLVE',[status(thm)],[55,56]) ).
cnf(91,plain,
subtract(e,apply(g,'SKOLEMAAAV11'('SKOLEMAAAV14')),'SKOLEMAAAV14') = 'SKOLEMAAAV12'('SKOLEMAAAV14'),
inference('HYPERRESOLVE',[status(thm)],[52,56]) ).
cnf(94,plain,
apply(g,apply(alpha,'SKOLEMAAAV13'('SKOLEMAAAV14'))) = subtract(e,apply(g,'SKOLEMAAAV11'('SKOLEMAAAV14')),'SKOLEMAAAV14'),
inference('REWRITE',[status(thm)],[90,91,theory(equality)]) ).
cnf(146,plain,
element(apply(g,'SKOLEMAAAV11'('SKOLEMAAAV14')),e),
inference('HYPERRESOLVE',[status(thm)],[1,60,33]) ).
cnf(163,plain,
element(apply(alpha,'SKOLEMAAAV13'('SKOLEMAAAV14')),b),
inference('HYPERRESOLVE',[status(thm)],[1,62,28]) ).
cnf(899,plain,
subtract(e,apply(g,'SKOLEMAAAV11'('SKOLEMAAAV14')),subtract(e,apply(g,'SKOLEMAAAV11'('SKOLEMAAAV14')),'SKOLEMAAAV14')) = 'SKOLEMAAAV14',
inference('HYPERRESOLVE',[status(thm)],[26,146,56]) ).
cnf(938,plain,
apply(g,subtract(b,'SKOLEMAAAV11'('SKOLEMAAAV14'),apply(alpha,'SKOLEMAAAV13'('SKOLEMAAAV14')))) != 'SKOLEMAAAV14',
inference('UR-RESOLVE',[status(thm)],[57,163,60]) ).
cnf(985,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,163,33,60]),938,899,94,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HAL006+1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.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 7 21:09:10 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-06-07T21:09:10
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-07T21:09:10
% 0.71/0.88
% 0.71/0.88
% 0.71/0.88 #||
% 0.71/0.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.88 % SZS output start Refutation
% See solution above
% 0.71/0.88 ||#
% 0.71/0.88
% 0.71/0.88 ; Summary of computation:
% 0.71/0.88 ; 1802 formulas have been input or derived (from 103 formulas).
% 0.71/0.88 ; 985 (55%) were retained. Of these,
% 0.71/0.88 ; 49 ( 5%) were simplified or subsumed later,
% 0.71/0.88 ; 936 (95%) are still being kept.
% 0.71/0.88 ;
% 0.71/0.88 ; Run time in seconds excluding printing time:
% 0.71/0.88 ; 0.010 2% Read assertion file (1 call)
% 0.71/0.88 ; 0.002 0% Assert (33 calls)
% 0.71/0.88 ; 0.126 31% Process new row (1,582 calls)
% 0.71/0.88 ; 0.086 21% Resolution (204 calls)
% 0.71/0.88 ; 0.002 0% Paramodulation (102 calls)
% 0.71/0.88 ; 0.000 0% Factoring (10 calls)
% 0.71/0.88 ; 0.002 0% Condensing (640 calls)
% 0.71/0.88 ; 0.062 15% Forward subsumption (640 calls)
% 0.71/0.88 ; 0.026 6% Backward subsumption (602 calls)
% 0.71/0.88 ; 0.003 1% Clause clause subsumption (388 calls)
% 0.71/0.88 ; 0.045 11% Forward simplification (1,582 calls)
% 0.71/0.88 ; 0.008 2% Backward simplification (985 calls)
% 0.71/0.88 ; 0.005 1% Ordering (1,096 calls)
% 0.71/0.88 ; 0.000 0% Sortal reasoning (32 calls)
% 0.71/0.88 ; 0.000 0% Purity testing (1 call)
% 0.71/0.88 ; 0.030 7% Other
% 0.71/0.88 ; 0.407 Total
% 0.71/0.88 ; 0.411 Real time
% 0.71/0.88 ;
% 0.71/0.88 ; Term-hash-array has 2,225 terms in all.
% 0.71/0.88 ; Feature-vector-row-index has 596 entries (596 at peak, 602 added, 6 deleted).
% 0.71/0.88 ; Feature-vector-row-index has 4,331 nodes (4,331 at peak, 4,376 added, 45 deleted).
% 0.71/0.88 ; Retrieved 240 possibly forward subsuming rows in 640 calls.
% 0.71/0.88 ; Retrieved 152 possibly backward subsumed rows in 602 calls.
% 0.71/0.88 ; Path-index has 2,180 entries (2,180 at peak, 2,262 added, 82 deleted).
% 0.71/0.88 ; Path-index has 2,678 nodes (2,678 at peak, 2,757 added, 79 deleted).
% 0.71/0.88 ; Trie-index has 2,180 entries (2,180 at peak, 2,262 added, 82 deleted).
% 0.71/0.88 ; Trie-index has 10,047 nodes (10,047 at peak, 10,368 added, 321 deleted).
% 0.71/0.88 ; Retrieved 1,145 generalization terms in 6,623 calls.
% 0.71/0.88 ; Retrieved 382 instance terms in 382 calls.
% 0.71/0.88 ; Retrieved 52,438 unifiable terms in 8,343 calls.
% 0.71/0.88 ;
% 0.71/0.88 ; The agenda of rows to process has 53 entries:
% 0.71/0.88 ; 13 with value 31 8 with value 35 16 with value 36
% 0.71/0.88 ; 16 with value 33
% 0.71/0.88 ; The agenda of rows to give has 833 entries:
% 0.71/0.88 ; 2 with value (4 11) 42 with value (4 21) 6 with value (4 31)
% 0.71/0.88 ; 6 with value (4 12) 9 with value (4 22) 46 with value (4 32)
% 0.71/0.88 ; 7 with value (4 13) 44 with value (4 23) 13 with value (4 33)
% 0.71/0.88 ; 38 with value (4 14) 38 with value (4 24) 45 with value (4 34)
% 0.71/0.88 ; 27 with value (4 15) 36 with value (4 25) 16 with value (4 35)
% 0.71/0.88 ; 30 with value (4 16) 30 with value (4 26) 15 with value (4 36)
% 0.71/0.88 ; 47 with value (4 17) 18 with value (4 27) 5 with value (4 37)
% 0.71/0.88 ; 56 with value (4 18) 31 with value (4 28) 7 with value (4 39)
% 0.71/0.88 ; 38 with value (4 19) 59 with value (4 29) 7 with value (4 43)
% 0.71/0.88 ; 38 with value (4 20) 70 with value (4 30) 7 with value (4 57)
% 0.71/0.88 Evaluation took:
% 0.71/0.88 0.411 seconds of real time
% 0.71/0.88 0.383779 seconds of user run time
% 0.71/0.88 0.02609 seconds of system run time
% 0.71/0.88 [Run times include 0.022 seconds GC run time.]
% 0.71/0.88 0 calls to %EVAL
% 0.71/0.88 0 page faults and
% 0.71/0.88 27,383,872 bytes consed.
% 0.71/0.88 :PROOF-FOUND
% 0.71/0.88 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T21:09:10
% 0.71/0.88 :PROOF-FOUND
% 0.71/0.88 *
%------------------------------------------------------------------------------