TSTP Solution File: SET787-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET787-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 : Tue Jul 19 05:12:09 EDT 2022
% Result : Unsatisfiable 0.47s 0.72s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 9 unt; 3 nHn; 14 RR)
% Number of literals : 24 ( 5 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause119,axiom,
( ~ member(X,union(Y))
| member(X,unionE_sk1(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause120,axiom,
( ~ member(X,union(Y))
| member(unionE_sk1(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause112,axiom,
( ~ member(X,cons(Y,Z))
| X = Y
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(unI1,axiom,
( ~ member(X,Y)
| member(X,un(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI1) ).
cnf(unI2,axiom,
( ~ member(X,Y)
| member(X,un(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI2) ).
cnf(clause158,axiom,
~ member(X,eptset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(un_eq_Union_2_c1,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
cnf(un_eq_Union_2_c2,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
cnf(13,plain,
~ member(sk2,a),
inference('UR-RESOLVE',[status(thm)],[unI1,un_eq_Union_2_c2]) ).
cnf(14,plain,
~ member(sk2,b),
inference('UR-RESOLVE',[status(thm)],[unI2,un_eq_Union_2_c2]) ).
cnf(17,plain,
member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset)))),
inference('HYPERRESOLVE',[status(thm)],[clause119,un_eq_Union_2_c1]) ).
cnf(19,plain,
member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
inference('HYPERRESOLVE',[status(thm)],[clause120,un_eq_Union_2_c1]) ).
cnf(90,plain,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
inference('HYPERRESOLVE',[status(thm)],[clause112,19]) ).
cnf(1165,plain,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| unionE_sk1(sk2,cons(a,cons(b,eptset))) = b ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause112,90]),clause158]) ).
cnf(1166,plain,
unionE_sk1(sk2,cons(a,cons(b,eptset))) = a,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,1165,theory(equality)]),14]) ).
cnf(1167,plain,
$false,
inference('REWRITE',[status(thm)],[17,13,1166,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET787-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n017.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 : Sun Jul 10 01:59:17 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:59:17
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-10T01:59:17
% 0.20/0.50 WARNING:
% 0.20/0.50 |subset| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.72
% 0.47/0.72
% 0.47/0.72 #||
% 0.47/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.72 % SZS output start Refutation
% See solution above
% 0.47/0.72 ||#
% 0.47/0.72
% 0.47/0.72 ; Summary of computation:
% 0.47/0.72 ; 2154 formulas have been input or derived (from 587 formulas).
% 0.47/0.72 ; 1167 (54%) were retained. Of these,
% 0.47/0.72 ; 67 ( 6%) were simplified or subsumed later,
% 0.47/0.72 ; 1100 (94%) are still being kept.
% 0.47/0.72 ;
% 0.47/0.72 ; Run time in seconds excluding printing time:
% 0.47/0.72 ; 0.002 1% Read assertion file (1 call)
% 0.47/0.72 ; 0.001 0% Assert (14 calls)
% 0.47/0.72 ; 0.085 37% Process new row (2,056 calls)
% 0.47/0.72 ; 0.058 25% Resolution (1,172 calls)
% 0.47/0.72 ; 0.010 4% Paramodulation (586 calls)
% 0.47/0.72 ; 0.000 0% Factoring (2 calls)
% 0.47/0.72 ; 0.001 0% Condensing (13 calls)
% 0.47/0.72 ; 0.000 0% Forward subsumption (13 calls)
% 0.47/0.72 ; 0.000 0% Backward subsumption (13 calls)
% 0.47/0.72 ; 0.000 0% Clause clause subsumption (6 calls)
% 0.47/0.72 ; 0.022 9% Forward simplification (2,054 calls)
% 0.47/0.72 ; 0.019 8% Backward simplification (1,167 calls)
% 0.47/0.72 ; 0.000 0% Ordering (23 calls)
% 0.47/0.72 ; 0.001 0% Sortal reasoning (32 calls)
% 0.47/0.72 ; 0.000 0% Purity testing (1 call)
% 0.47/0.72 ; 0.033 14% Other
% 0.47/0.72 ; 0.232 Total
% 0.47/0.72 ; 0.233 Real time
% 0.47/0.72 ;
% 0.47/0.72 ; Term-hash-array has 2,435 terms in all.
% 0.47/0.72 ; Feature-vector-row-index has 9 entries (13 at peak, 13 added, 4 deleted).
% 0.47/0.72 ; Feature-vector-row-index has 27 nodes (86 at peak, 86 added, 59 deleted).
% 0.47/0.72 ; Retrieved 3 possibly forward subsuming rows in 13 calls.
% 0.47/0.72 ; Retrieved 3 possibly backward subsumed rows in 13 calls.
% 0.47/0.72 ; Path-index has 2,266 entries (2,438 at peak, 2,439 added, 173 deleted).
% 0.47/0.72 ; Path-index has 6,689 nodes (7,131 at peak, 7,131 added, 442 deleted).
% 0.47/0.72 ; Trie-index has 2,266 entries (2,438 at peak, 2,439 added, 173 deleted).
% 0.47/0.72 ; Trie-index has 5,323 nodes (6,300 at peak, 6,301 added, 978 deleted).
% 0.47/0.72 ; Retrieved 890 generalization terms in 2,051 calls.
% 0.47/0.72 ; Retrieved 1,154 instance terms in 1,153 calls.
% 0.47/0.72 ; Retrieved 16,941 unifiable terms in 9,413 calls.
% 0.47/0.72 ;
% 0.47/0.72 ; The agenda of backward simplifiable rows to process has 65 entries:
% 0.47/0.72 ; 65 with value 0
% 0.47/0.72 ; The agenda of rows to process has 31 entries:
% 0.47/0.72 ; 2 with value 24 1 with value 28 4 with value 33
% 0.47/0.72 ; 1 with value 25 2 with value 30 8 with value 37
% 0.47/0.72 ; 5 with value 27 8 with value 31
% 0.47/0.72 ; The agenda of rows to give has 545 entries:
% 0.47/0.72 ; 1 with value (4 17) 512 with value (4 31) 32 with value (4 32)
% 0.47/0.72 Evaluation took:
% 0.47/0.72 0.234 seconds of real time
% 0.47/0.72 0.207781 seconds of user run time
% 0.47/0.72 0.026146 seconds of system run time
% 0.47/0.72 [Run times include 0.017 seconds GC run time.]
% 0.47/0.72 0 calls to %EVAL
% 0.47/0.72 0 page faults and
% 0.47/0.72 15,089,448 bytes consed.
% 0.47/0.72 :PROOF-FOUND
% 0.47/0.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:59:18
% 0.47/0.72 :PROOF-FOUND
% 0.47/0.72 *
%------------------------------------------------------------------------------