TSTP Solution File: SET956+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET956+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 05:13:40 EDT 2022
% Result : Theorem 0.38s 0.55s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 6 unt; 1 nHn; 9 RR)
% Number of literals : 15 ( 2 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( subset(X,Y)
| in('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(12,axiom,
( ~ subset(X,cartesian_product2(Y,Z))
| ~ in(U,X)
| U = ordered_pair('SKOLEMAAAV4'(Y,Z,U),'SKOLEMAAAV5'(Y,Z,U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t103_zfmisc_1) ).
cnf(13,negated_conjecture,
subset('SKOLEMAAAV6',cartesian_product2('SKOLEMAAAV7','SKOLEMAAAV8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t109_zfmisc_1) ).
cnf(14,negated_conjecture,
( ~ in(ordered_pair(X,Y),'SKOLEMAAAV6')
| in(ordered_pair(X,Y),'SKOLEMAAAV9') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t109_zfmisc_1) ).
cnf(15,negated_conjecture,
~ subset('SKOLEMAAAV6','SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t109_zfmisc_1) ).
cnf(16,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV6','SKOLEMAAAV9'),'SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[15,3]) ).
cnf(17,plain,
~ in('SKOLEMAAAV1'('SKOLEMAAAV6','SKOLEMAAAV9'),'SKOLEMAAAV9'),
inference('UR-RESOLVE',[status(thm)],[4,15]) ).
cnf(25,plain,
'SKOLEMAAAV1'('SKOLEMAAAV6','SKOLEMAAAV9') = ordered_pair('SKOLEMAAAV4'('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV1'('SKOLEMAAAV6','SKOLEMAAAV9')),'SKOLEMAAAV5'('SKOLEMAAAV7','SKOLEMAAAV8','SKOLEMAAAV1'('SKOLEMAAAV6','SKOLEMAAAV9'))),
inference('HYPERRESOLVE',[status(thm)],[12,16,13]) ).
cnf(131,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,25,theory(equality)]),17,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET956+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.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 01:41:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T01:41:28
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-11T01:41:28
% 0.20/0.48
% 0.20/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.38/0.55 ; Declaring unordered_pair to be commutative.
% 0.38/0.55
% 0.38/0.55 #||
% 0.38/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.55 % SZS output start Refutation
% See solution above
% 0.38/0.55 ||#
% 0.38/0.55
% 0.38/0.55 ; Summary of computation:
% 0.38/0.55 ; 226 formulas have been input or derived (from 43 formulas).
% 0.38/0.55 ; 131 (58%) were retained. Of these,
% 0.38/0.55 ; 131 (100%) are still being kept.
% 0.38/0.55 ;
% 0.38/0.55 ; Run time in seconds excluding printing time:
% 0.38/0.55 ; 0.003 4% Read assertion file (1 call)
% 0.38/0.55 ; 0.000 0% Assert (10 calls)
% 0.38/0.55 ; 0.016 21% Process new row (211 calls)
% 0.38/0.55 ; 0.007 9% Resolution (84 calls)
% 0.38/0.55 ; 0.001 1% Paramodulation (42 calls)
% 0.38/0.55 ; 0.000 0% Factoring (8 calls)
% 0.38/0.55 ; 0.001 1% Condensing (115 calls)
% 0.38/0.55 ; 0.014 18% Forward subsumption (115 calls)
% 0.38/0.55 ; 0.003 4% Backward subsumption (95 calls)
% 0.38/0.55 ; 0.000 0% Clause clause subsumption (101 calls)
% 0.38/0.55 ; 0.002 3% Forward simplification (211 calls)
% 0.38/0.55 ; 0.001 1% Backward simplification (131 calls)
% 0.38/0.55 ; 0.001 1% Ordering (310 calls)
% 0.38/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.55 ; 0.000 0% Purity testing (1 call)
% 0.38/0.55 ; 0.029 37% Other
% 0.38/0.55 ; 0.078 Total
% 0.38/0.55 ; 0.080 Real time
% 0.38/0.55 ;
% 0.38/0.55 ; Term-hash-array has 263 terms in all.
% 0.38/0.55 ; Feature-vector-row-index has 95 entries (95 at peak, 95 added, 0 deleted).
% 0.38/0.55 ; Feature-vector-row-index has 1,013 nodes (1,013 at peak, 1,013 added, 0 deleted).
% 0.38/0.55 ; Retrieved 98 possibly forward subsuming rows in 115 calls.
% 0.38/0.55 ; Retrieved 3 possibly backward subsumed rows in 95 calls.
% 0.38/0.55 ; Path-index has 269 entries (269 at peak, 269 added, 0 deleted).
% 0.38/0.55 ; Path-index has 869 nodes (869 at peak, 869 added, 0 deleted).
% 0.38/0.55 ; Trie-index has 269 entries (269 at peak, 269 added, 0 deleted).
% 0.38/0.55 ; Trie-index has 1,344 nodes (1,344 at peak, 1,344 added, 0 deleted).
% 0.38/0.55 ; Retrieved 68 generalization terms in 413 calls.
% 0.38/0.55 ; Retrieved 36 instance terms in 35 calls.
% 0.38/0.55 ; Retrieved 1,210 unifiable terms in 548 calls.
% 0.38/0.55 ;
% 0.38/0.55 ; The agenda of rows to process has 2 entries:
% 0.38/0.55 ; 1 with value 43 1 with value 49
% 0.38/0.55 ; The agenda of rows to give has 88 entries:
% 0.38/0.55 ; 1 with value (4 9) 1 with value (4 30) 2 with value (4 41)
% 0.38/0.55 ; 2 with value (4 23) 5 with value (4 31) 2 with value (4 42)
% 0.38/0.55 ; 4 with value (4 24) 5 with value (4 33) 3 with value (4 44)
% 0.38/0.55 ; 3 with value (4 25) 8 with value (4 34) 3 with value (4 46)
% 0.38/0.55 ; 5 with value (4 26) 1 with value (4 35) 1 with value (4 47)
% 0.38/0.55 ; 4 with value (4 27) 15 with value (4 36) 4 with value (4 52)
% 0.38/0.55 ; 6 with value (4 28) 1 with value (4 38) 1 with value (4 53)
% 0.38/0.55 ; 6 with value (4 29) 3 with value (4 39) 2 with value (4 54)
% 0.38/0.55 Evaluation took:
% 0.38/0.55 0.081 seconds of real time
% 0.38/0.55 0.070458 seconds of user run time
% 0.38/0.55 0.01023 seconds of system run time
% 0.38/0.55 0 calls to %EVAL
% 0.38/0.55 0 page faults and
% 0.38/0.55 4,815,360 bytes consed.
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T01:41:28
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 *
%------------------------------------------------------------------------------