%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN074+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 21 11:57:22 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 4 unt; 6 nHn; 10 RR)
% Number of literals : 30 ( 19 equ; 11 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_f(X,Y)
| X = 'SKOLEMAAAV1' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel51_1) ).
cnf(2,axiom,
( ~ big_f(X,Y)
| Y = 'SKOLEMAAAV2' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel51_1) ).
cnf(3,axiom,
( big_f(X,Y)
| X != 'SKOLEMAAAV1'
| Y != 'SKOLEMAAAV2' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel51_1) ).
cnf(4,negated_conjecture,
( ~ big_f('SKOLEMAAAV3'(X),'SKOLEMAAAV4'(X,Y))
| 'SKOLEMAAAV4'(X,Y) != Y
| 'SKOLEMAAAV3'(X) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel51) ).
cnf(5,negated_conjecture,
( big_f('SKOLEMAAAV3'(X),'SKOLEMAAAV4'(X,Y))
| 'SKOLEMAAAV4'(X,Y) = Y
| 'SKOLEMAAAV3'(X) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel51) ).
cnf(7,negated_conjecture,
( big_f('SKOLEMAAAV3'(X),Y)
| Y != 'SKOLEMAAAV5'(X)
| 'SKOLEMAAAV3'(X) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel51) ).
cnf(8,plain,
big_f('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(9,plain,
( big_f('SKOLEMAAAV3'(X),'SKOLEMAAAV5'(X))
| 'SKOLEMAAAV3'(X) = X ),
inference('HYPERRESOLVE',[status(thm)],[7,theory(equality)]) ).
cnf(11,plain,
( 'SKOLEMAAAV3'(X) = X
| 'SKOLEMAAAV3'(X) = 'SKOLEMAAAV1' ),
inference('HYPERRESOLVE',[status(thm)],[1,9]) ).
cnf(16,plain,
'SKOLEMAAAV3'('SKOLEMAAAV1') = 'SKOLEMAAAV1',
inference('FACTOR',[status(thm)],[11]) ).
cnf(18,plain,
( big_f('SKOLEMAAAV1','SKOLEMAAAV4'('SKOLEMAAAV1',X))
| 'SKOLEMAAAV4'('SKOLEMAAAV1',X) = X ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,11]),16,theory(equality)]) ).
cnf(28,plain,
( ~ big_f('SKOLEMAAAV1','SKOLEMAAAV4'('SKOLEMAAAV1',X))
| 'SKOLEMAAAV4'('SKOLEMAAAV1',X) != X ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,16,theory(equality)]),theory(equality)]) ).
cnf(29,plain,
( 'SKOLEMAAAV4'('SKOLEMAAAV1',X) = X
| 'SKOLEMAAAV4'('SKOLEMAAAV1',X) = 'SKOLEMAAAV2' ),
inference('HYPERRESOLVE',[status(thm)],[2,18]) ).
cnf(31,plain,
'SKOLEMAAAV4'('SKOLEMAAAV1','SKOLEMAAAV2') = 'SKOLEMAAAV2',
inference('HYPERRESOLVE',[status(thm)],[28,29,18]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[28,31]),8,31,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SYN074+1 : TPTP v8.1.0. Released v2.0.0.
% 0.05/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 19:27:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:27:09
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T19:27:09
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 116 formulas have been input or derived (from 20 formulas).
% 0.20/0.51 ; 36 (31%) were retained. Of these,
% 0.20/0.51 ; 2 ( 6%) were simplified or subsumed later,
% 0.20/0.51 ; 34 (94%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (2 calls)
% 0.20/0.51 ; 0.003 8% Process new row (94 calls)
% 0.20/0.51 ; 0.004 11% Resolution (38 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (19 calls)
% 0.20/0.51 ; 0.000 0% Factoring (8 calls)
% 0.20/0.52 ; 0.001 3% Condensing (51 calls)
% 0.20/0.52 ; 0.000 0% Forward subsumption (51 calls)
% 0.20/0.52 ; 0.001 3% Backward subsumption (30 calls)
% 0.20/0.52 ; 0.001 3% Clause clause subsumption (33 calls)
% 0.20/0.52 ; 0.002 5% Forward simplification (94 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (36 calls)
% 0.20/0.52 ; 0.000 0% Ordering (231 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.025 66% Other
% 0.20/0.52 ; 0.038 Total
% 0.20/0.52 ; 0.040 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 47 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 30 entries (30 at peak, 30 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 147 nodes (147 at peak, 147 added, 0 deleted).
% 0.20/0.52 ; Retrieved 34 possibly forward subsuming rows in 51 calls.
% 0.20/0.52 ; Retrieved 1 possibly backward subsumed row in 30 calls.
% 0.20/0.52 ; Path-index has 47 entries (47 at peak, 49 added, 2 deleted).
% 0.20/0.52 ; Path-index has 64 nodes (64 at peak, 66 added, 2 deleted).
% 0.20/0.52 ; Trie-index has 47 entries (47 at peak, 49 added, 2 deleted).
% 0.20/0.52 ; Trie-index has 89 nodes (89 at peak, 92 added, 3 deleted).
% 0.20/0.52 ; Retrieved 33 generalization terms in 154 calls.
% 0.20/0.52 ; Retrieved 5 instance terms in 5 calls.
% 0.20/0.52 ; Retrieved 591 unifiable terms in 143 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 11 entries:
% 0.20/0.52 ; 2 with value 13 1 with value 20 1 with value 22
% 0.20/0.52 ; 7 with value 14
% 0.20/0.52 ; The agenda of rows to give has 14 entries:
% 0.20/0.52 ; 2 with value (4 16) 3 with value (4 23) 2 with value (4 27)
% 0.20/0.52 ; 1 with value (4 19) 1 with value (4 24) 1 with value (4 30)
% 0.20/0.52 ; 2 with value (4 22) 2 with value (4 26)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.04 seconds of real time
% 0.20/0.52 0.034335 seconds of user run time
% 0.20/0.52 0.006095 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,820,784 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:27:09
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------