TSTP Solution File: ALG176+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG176+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 18:00:05 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 15 RR)
% Number of literals : 23 ( 7 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
sorti1('SKOLEMAAAM1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(4,axiom,
( ~ sorti1(X)
| op1(X,'SKOLEMAAAM1') != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(5,axiom,
( ~ sorti2(X)
| sorti2('SKOLEMAAAM2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(6,axiom,
( ~ sorti2(X)
| op2('SKOLEMAAAM2'(X),X) = 'SKOLEMAAAM2'(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(7,negated_conjecture,
( ~ sorti1(X)
| sorti2(h(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(8,negated_conjecture,
( ~ sorti2(X)
| sorti1(j(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(10,negated_conjecture,
( ~ sorti2(X)
| ~ sorti2(Y)
| j(op2(X,Y)) = op1(j(X),j(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(12,negated_conjecture,
( ~ sorti1(X)
| j(h(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(13,plain,
sorti2(h('SKOLEMAAAM1')),
inference('HYPERRESOLVE',[status(thm)],[7,3]) ).
cnf(15,plain,
j(h('SKOLEMAAAM1')) = 'SKOLEMAAAM1',
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(18,plain,
sorti2('SKOLEMAAAM2'(h('SKOLEMAAAM1'))),
inference('HYPERRESOLVE',[status(thm)],[5,13]) ).
cnf(20,plain,
op2('SKOLEMAAAM2'(h('SKOLEMAAAM1')),h('SKOLEMAAAM1')) = 'SKOLEMAAAM2'(h('SKOLEMAAAM1')),
inference('HYPERRESOLVE',[status(thm)],[6,13]) ).
cnf(29,plain,
sorti1(j('SKOLEMAAAM2'(h('SKOLEMAAAM1')))),
inference('HYPERRESOLVE',[status(thm)],[8,18]) ).
cnf(35,plain,
j('SKOLEMAAAM2'(h('SKOLEMAAAM1'))) = op1(j('SKOLEMAAAM2'(h('SKOLEMAAAM1'))),'SKOLEMAAAM1'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,18,13]),15,20,theory(equality)]) ).
cnf(84,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,29]),35,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG176+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 08:20:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T08:20:34
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-08T08:20:34
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 #||
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 ||#
% 0.18/0.48
% 0.18/0.48 ; Summary of computation:
% 0.18/0.48 ; 226 formulas have been input or derived (from 22 formulas).
% 0.18/0.48 ; 84 (37%) were retained. Of these,
% 0.18/0.48 ; 84 (100%) are still being kept.
% 0.18/0.48 ;
% 0.18/0.48 ; Run time in seconds excluding printing time:
% 0.18/0.48 ; 0.001 5% Read assertion file (1 call)
% 0.18/0.48 ; 0.001 5% Assert (5 calls)
% 0.18/0.48 ; 0.003 14% Process new row (150 calls)
% 0.18/0.48 ; 0.002 9% Resolution (42 calls)
% 0.18/0.48 ; 0.001 5% Paramodulation (21 calls)
% 0.18/0.48 ; 0.001 5% Condensing (11 calls)
% 0.18/0.48 ; 0.000 0% Forward subsumption (11 calls)
% 0.18/0.48 ; 0.000 0% Backward subsumption (11 calls)
% 0.18/0.48 ; 0.002 9% Forward simplification (150 calls)
% 0.18/0.48 ; 0.000 0% Backward simplification (84 calls)
% 0.18/0.48 ; 0.000 0% Ordering (43 calls)
% 0.18/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.48 ; 0.000 0% Purity testing (1 call)
% 0.18/0.48 ; 0.011 50% Other
% 0.18/0.48 ; 0.022 Total
% 0.18/0.48 ; 0.023 Real time
% 0.18/0.48 ;
% 0.18/0.48 ; Term-hash-array has 181 terms in all.
% 0.18/0.48 ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.18/0.48 ; Feature-vector-row-index has 47 nodes (47 at peak, 47 added, 0 deleted).
% 0.18/0.48 ; Retrieved 0 possibly forward subsuming rows in 11 calls.
% 0.18/0.48 ; Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.18/0.48 ; Path-index has 182 entries (182 at peak, 182 added, 0 deleted).
% 0.18/0.48 ; Path-index has 513 nodes (513 at peak, 513 added, 0 deleted).
% 0.18/0.48 ; Trie-index has 182 entries (182 at peak, 182 added, 0 deleted).
% 0.18/0.48 ; Trie-index has 880 nodes (880 at peak, 880 added, 0 deleted).
% 0.18/0.48 ; Retrieved 107 generalization terms in 655 calls.
% 0.18/0.48 ; Retrieved 72 instance terms in 72 calls.
% 0.18/0.48 ; Retrieved 923 unifiable terms in 301 calls.
% 0.18/0.48 ;
% 0.18/0.48 ; The agenda of rows to process has 22 entries:
% 0.18/0.48 ; 4 with value 20 4 with value 26 1 with value 32
% 0.18/0.48 ; 1 with value 21 4 with value 30 8 with value 34
% 0.18/0.48 ; The agenda of rows to give has 62 entries:
% 0.18/0.48 ; 1 with value (4 12) 2 with value (4 18) 2 with value (4 24)
% 0.18/0.48 ; 2 with value (4 13) 6 with value (4 19) 1 with value (4 25)
% 0.18/0.48 ; 5 with value (4 14) 8 with value (4 20) 7 with value (4 26)
% 0.18/0.48 ; 6 with value (4 15) 3 with value (4 21) 4 with value (4 30)
% 0.18/0.48 ; 5 with value (4 16) 1 with value (4 22) 4 with value (4 34)
% 0.18/0.48 ; 5 with value (4 17)
% 0.18/0.48 Evaluation took:
% 0.18/0.48 0.023 seconds of real time
% 0.18/0.48 0.019331 seconds of user run time
% 0.18/0.48 0.003616 seconds of system run time
% 0.18/0.48 0 calls to %EVAL
% 0.18/0.48 0 page faults and
% 0.18/0.48 3,070,768 bytes consed.
% 0.18/0.48 :PROOF-FOUND
% 0.18/0.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T08:20:35
% 0.18/0.48 :PROOF-FOUND
% 0.18/0.48 *
%------------------------------------------------------------------------------