TSTP Solution File: SEU154+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU154+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:19:35 EDT 2022
% Result : Theorem 0.97s 1.18s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 7 unt; 3 nHn; 7 RR)
% Number of literals : 20 ( 1 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(34,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(52,negated_conjecture,
~ in('SKOLEMAAAV9','SKOLEMAAAV10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
cnf(53,negated_conjecture,
~ disjoint(singleton('SKOLEMAAAV9'),'SKOLEMAAAV10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
cnf(58,axiom,
( ~ subset(X,Y)
| in(Z,X)
| subset(X,set_difference(Y,singleton(Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(63,axiom,
subset(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(81,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAV14'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(82,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAV14'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(94,axiom,
( ~ subset(X,Y)
| ~ disjoint(Y,Z)
| disjoint(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).
cnf(238,plain,
disjoint(set_difference(X,Y),Y),
inference('HYPERRESOLVE',[status(thm)],[34,81,82,theory(equality)]) ).
cnf(256,plain,
subset('SKOLEMAAAV10',set_difference('SKOLEMAAAV10',singleton('SKOLEMAAAV9'))),
inference('UR-RESOLVE',[status(thm)],[58,63,52]) ).
cnf(910,plain,
~ subset('SKOLEMAAAV10',set_difference(X,singleton('SKOLEMAAAV9'))),
inference('UR-RESOLVE',[status(thm)],[94,238,53]) ).
cnf(911,plain,
$false,
inference('REWRITE',[status(thm)],[256,910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU154+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.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 : Mon Jun 20 03:25:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T03:25:24
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-20T03:25:24
% 0.18/0.49
% 0.18/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.49 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.49 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.49 ; Declaring unordered_pair to be commutative.
% 0.18/0.49 ; Declaring set_union2 to be commutative.
% 0.18/0.49 ; Declaring set_intersection2 to be commutative.
% 0.97/1.18 ; Declaring disjoint to be commutative.
% 0.97/1.18
% 0.97/1.18 #||
% 0.97/1.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.97/1.18 % SZS output start Refutation
% See solution above
% 0.97/1.18 ||#
% 0.97/1.18
% 0.97/1.18 ; Summary of computation:
% 0.97/1.18 ; 7141 formulas have been input or derived (from 129 formulas).
% 0.97/1.18 ; 911 (13%) were retained. Of these,
% 0.97/1.18 ; 38 ( 4%) were simplified or subsumed later,
% 0.97/1.18 ; 873 (96%) are still being kept.
% 0.97/1.18 ;
% 0.97/1.18 ; Run time in seconds excluding printing time:
% 0.97/1.18 ; 0.014 2% Read assertion file (1 call)
% 0.97/1.18 ; 0.004 1% Assert (77 calls)
% 0.97/1.18 ; 0.079 11% Process new row (6,364 calls)
% 0.97/1.18 ; 0.166 23% Resolution (256 calls)
% 0.97/1.18 ; 0.002 0% Paramodulation (128 calls)
% 0.97/1.19 ; 0.000 0% Factoring (17 calls)
% 0.97/1.19 ; 0.057 8% Condensing (3,435 calls)
% 0.97/1.19 ; 0.107 15% Forward subsumption (3,435 calls)
% 0.97/1.19 ; 0.004 1% Backward subsumption (564 calls)
% 0.97/1.19 ; 0.038 5% Clause clause subsumption (6,542 calls)
% 0.97/1.19 ; 0.157 22% Forward simplification (6,363 calls)
% 0.97/1.19 ; 0.010 1% Backward simplification (908 calls)
% 0.97/1.19 ; 0.028 4% Ordering (10,210 calls)
% 0.97/1.19 ; 0.000 0% Sortal reasoning (32 calls)
% 0.97/1.19 ; 0.001 0% Purity testing (1 call)
% 0.97/1.19 ; 0.053 7% Other
% 0.97/1.19 ; 0.720 Total
% 0.97/1.19 ; 0.722 Real time
% 0.97/1.19 ;
% 0.97/1.19 ; Term-hash-array has 1,868 terms in all.
% 0.97/1.19 ; Feature-vector-row-index has 551 entries (551 at peak, 564 added, 13 deleted).
% 0.97/1.19 ; Feature-vector-row-index has 1,705 nodes (1,705 at peak, 1,742 added, 37 deleted).
% 0.97/1.19 ; Retrieved 16,590 possibly forward subsuming rows in 3,435 calls.
% 0.97/1.19 ; Retrieved 534 possibly backward subsumed rows in 564 calls.
% 0.97/1.19 ; Path-index has 1,839 entries (1,842 at peak, 1,885 added, 46 deleted).
% 0.97/1.19 ; Path-index has 2,703 nodes (2,705 at peak, 2,724 added, 21 deleted).
% 0.97/1.19 ; Trie-index has 1,839 entries (1,842 at peak, 1,885 added, 46 deleted).
% 0.97/1.19 ; Trie-index has 4,560 nodes (4,572 at peak, 4,648 added, 88 deleted).
% 0.97/1.19 ; Retrieved 26,441 generalization terms in 34,416 calls.
% 0.97/1.19 ; Retrieved 450 instance terms in 344 calls.
% 0.97/1.19 ; Retrieved 251,025 unifiable terms in 4,263 calls.
% 0.97/1.19 ;
% 0.97/1.19 ; The agenda of rows to process has 73 entries:
% 0.97/1.19 ; 7 with value 11 5 with value 28 3 with value 39
% 0.97/1.19 ; 7 with value 12 4 with value 31 2 with value 40
% 0.97/1.19 ; 1 with value 14 1 with value 32 1 with value 42
% 0.97/1.19 ; 5 with value 15 2 with value 33 1 with value 44
% 0.97/1.19 ; 2 with value 16 1 with value 34 1 with value 50
% 0.97/1.19 ; 5 with value 17 3 with value 35 2 with value 51
% 0.97/1.19 ; 2 with value 24 3 with value 36 2 with value 52
% 0.97/1.19 ; 4 with value 26 2 with value 37 2 with value 57
% 0.97/1.19 ; 1 with value 27 2 with value 38 2 with value 58
% 0.97/1.19 ; The agenda of rows to give has 745 entries:
% 0.97/1.19 ; 10 with value (4 8) 12 with value (4 24) 13 with value (4 40)
% 0.97/1.19 ; 24 with value (4 9) 16 with value (4 25) 4 with value (4 41)
% 0.97/1.19 ; 30 with value (4 10) 21 with value (4 26) 10 with value (4 42)
% 0.97/1.19 ; 60 with value (4 11) 1 with value (4 27) 5 with value (4 43)
% 0.97/1.19 ; 43 with value (4 12) 20 with value (4 28) 18 with value (4 44)
% 0.97/1.19 ; 52 with value (4 13) 21 with value (4 29) 8 with value (4 45)
% 0.97/1.19 ; 26 with value (4 14) 15 with value (4 30) 9 with value (4 46)
% 0.97/1.19 ; 34 with value (4 15) 18 with value (4 31) 2 with value (4 47)
% 0.97/1.19 ; 32 with value (4 16) 20 with value (4 32) 4 with value (4 48)
% 0.97/1.19 ; 20 with value (4 17) 9 with value (4 33) 4 with value (4 49)
% 0.97/1.19 ; 19 with value (4 18) 18 with value (4 34) 2 with value (4 51)
% 0.97/1.19 ; 18 with value (4 19) 6 with value (4 35) 4 with value (4 54)
% 0.97/1.19 ; 9 with value (4 20) 6 with value (4 36) 4 with value (4 55)
% 0.97/1.19 ; 23 with value (4 21) 13 with value (4 37) 4 with value (4 56)
% 0.97/1.19 ; 11 with value (4 22) 8 with value (4 38) 4 with value (4 57)
% 0.97/1.19 ; 11 with value (4 23) 24 with value (4 39)
% 0.97/1.19 Evaluation took:
% 0.97/1.19 0.722 seconds of real time
% 0.97/1.19 0.658787 seconds of user run time
% 0.97/1.19 0.063098 seconds of system run time
% 0.97/1.19 [Run times include 0.026 seconds GC run time.]
% 0.97/1.19 0 calls to %EVAL
% 0.97/1.19 0 page faults and
% 0.97/1.19 54,503,600 bytes consed.
% 0.97/1.19 :PROOF-FOUND
% 0.97/1.19 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T03:25:25
% 0.97/1.19 :PROOF-FOUND
% 0.97/1.19 *
%------------------------------------------------------------------------------