TSTP Solution File: ALG041+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG041+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 17:59:43 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 28 ( 10 equ; 12 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 : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ sorti1(X)
| sorti1('SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(4,axiom,
( ~ sorti1(X)
| op1('SKOLEMAAAV1'(X),'SKOLEMAAAV1'(X)) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(5,axiom,
sorti2('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(6,axiom,
( ~ sorti2(X)
| op2(X,X) = 'SKOLEMAAAV2' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(7,negated_conjecture,
( ~ sorti1(X)
| sorti2(h(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(8,negated_conjecture,
( ~ sorti2(X)
| sorti1(j(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(9,negated_conjecture,
( ~ sorti1(X)
| ~ sorti1(Y)
| h(op1(X,Y)) = op2(h(X),h(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(10,negated_conjecture,
( ~ sorti2(X)
| ~ sorti2(Y)
| j(op2(X,Y)) = op1(j(X),j(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(12,negated_conjecture,
( ~ sorti1(X)
| j(h(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(13,plain,
sorti1(j('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[8,5]) ).
cnf(17,plain,
sorti1('SKOLEMAAAV1'(j('SKOLEMAAAV2'))),
inference('HYPERRESOLVE',[status(thm)],[3,13]) ).
cnf(18,plain,
op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),'SKOLEMAAAV1'(j('SKOLEMAAAV2'))) != j('SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[4,13]) ).
cnf(19,plain,
sorti2(h('SKOLEMAAAV1'(j('SKOLEMAAAV2')))),
inference('HYPERRESOLVE',[status(thm)],[7,17]) ).
cnf(24,plain,
j(h('SKOLEMAAAV1'(j('SKOLEMAAAV2')))) = 'SKOLEMAAAV1'(j('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[12,17]) ).
cnf(28,plain,
h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),'SKOLEMAAAV1'(j('SKOLEMAAAV2')))) = op2(h('SKOLEMAAAV1'(j('SKOLEMAAAV2'))),h('SKOLEMAAAV1'(j('SKOLEMAAAV2')))),
inference('HYPERRESOLVE',[status(thm)],[9,17,17]) ).
cnf(32,plain,
h(op1('SKOLEMAAAV1'(j('SKOLEMAAAV2')),'SKOLEMAAAV1'(j('SKOLEMAAAV2')))) = 'SKOLEMAAAV2',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,19]),28,theory(equality)]) ).
cnf(33,plain,
'SKOLEMAAAV2' = op2(h('SKOLEMAAAV1'(j('SKOLEMAAAV2'))),h('SKOLEMAAAV1'(j('SKOLEMAAAV2')))),
inference('REWRITE',[status(thm)],[28,32,theory(equality)]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,19,19]),18,24,33,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG041+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 20:20:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-08T20:20:06
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-08T20:20:06
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 87 formulas have been input or derived (from 19 formulas).
% 0.18/0.49 ; 36 (41%) were retained. Of these,
% 0.18/0.49 ; 2 ( 6%) were simplified or subsumed later,
% 0.18/0.49 ; 34 (94%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds excluding printing time:
% 0.18/0.49 ; 0.003 9% Read assertion file (1 call)
% 0.18/0.49 ; 0.000 0% Assert (5 calls)
% 0.18/0.49 ; 0.006 19% Process new row (59 calls)
% 0.18/0.49 ; 0.003 9% Resolution (36 calls)
% 0.18/0.49 ; 0.000 0% Paramodulation (18 calls)
% 0.18/0.49 ; 0.000 0% Condensing (11 calls)
% 0.18/0.49 ; 0.000 0% Forward subsumption (11 calls)
% 0.18/0.49 ; 0.000 0% Backward subsumption (11 calls)
% 0.18/0.49 ; 0.000 0% Forward simplification (59 calls)
% 0.18/0.49 ; 0.000 0% Backward simplification (36 calls)
% 0.18/0.49 ; 0.000 0% Ordering (36 calls)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.020 62% Other
% 0.18/0.49 ; 0.032 Total
% 0.18/0.49 ; 0.035 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 74 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.18/0.49 ; Retrieved 0 possibly forward subsuming rows in 11 calls.
% 0.18/0.49 ; Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.18/0.49 ; Path-index has 73 entries (73 at peak, 76 added, 3 deleted).
% 0.18/0.49 ; Path-index has 243 nodes (243 at peak, 243 added, 0 deleted).
% 0.18/0.49 ; Trie-index has 73 entries (73 at peak, 76 added, 3 deleted).
% 0.18/0.49 ; Trie-index has 285 nodes (285 at peak, 301 added, 16 deleted).
% 0.18/0.49 ; Retrieved 50 generalization terms in 194 calls.
% 0.18/0.49 ; Retrieved 24 instance terms in 24 calls.
% 0.18/0.49 ; Retrieved 347 unifiable terms in 160 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to give has 15 entries:
% 0.18/0.49 ; 1 with value (4 12) 1 with value (4 16) 1 with value (4 21)
% 0.18/0.49 ; 2 with value (4 14) 3 with value (4 17) 2 with value (4 22)
% 0.18/0.49 ; 1 with value (4 15) 2 with value (4 19) 2 with value (4 25)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.035 seconds of real time
% 0.18/0.49 0.0299 seconds of user run time
% 0.18/0.49 0.005204 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 2,911,056 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T20:20:06
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------