TSTP Solution File: SEU128+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU128+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:19:19 EDT 2022
% Result : Theorem 1.31s 1.48s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 1 nHn; 14 RR)
% Number of literals : 23 ( 5 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( X != set_union2(Y,Z)
| in(U,X)
| ~ in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(12,axiom,
( subset(X,Y)
| in('SKOLEMAAAV3'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(13,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(15,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(28,axiom,
( ~ subset(X,Y)
| set_union2(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
cnf(30,negated_conjecture,
subset('SKOLEMAAAV7','SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
cnf(31,negated_conjecture,
subset('SKOLEMAAAV7','SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
cnf(32,negated_conjecture,
~ subset('SKOLEMAAAV7',set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
cnf(52,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV7',set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),'SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[32,12]) ).
cnf(54,plain,
~ in('SKOLEMAAAV3'('SKOLEMAAAV7',set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),
inference('UR-RESOLVE',[status(thm)],[13,32]) ).
cnf(57,plain,
set_union2('SKOLEMAAAV7','SKOLEMAAAV9') = 'SKOLEMAAAV9',
inference('HYPERRESOLVE',[status(thm)],[28,31]) ).
cnf(58,plain,
set_union2('SKOLEMAAAV7','SKOLEMAAAV8') = 'SKOLEMAAAV8',
inference('HYPERRESOLVE',[status(thm)],[28,30]) ).
cnf(646,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV7',set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),'SKOLEMAAAV9'),
inference('HYPERRESOLVE',[status(thm)],[7,52,57]) ).
cnf(647,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV7',set_intersection2('SKOLEMAAAV8','SKOLEMAAAV9')),'SKOLEMAAAV8'),
inference('HYPERRESOLVE',[status(thm)],[7,52,58]) ).
cnf(2045,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,647,646,theory(equality)]),54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU128+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 22:08:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:08:29
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-19T22:08:29
% 0.21/0.51
% 0.21/0.51 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.51 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.51 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.21/0.51 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.51 ; Declaring set_union2 to be commutative.
% 0.21/0.51 ; Declaring set_intersection2 to be commutative.
% 1.31/1.48 ; Declaring disjoint to be commutative.
% 1.31/1.48
% 1.31/1.48 #||
% 1.31/1.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/1.48 % SZS output start Refutation
% See solution above
% 1.31/1.49 ||#
% 1.31/1.49
% 1.31/1.49 ; Summary of computation:
% 1.31/1.49 ; 17357 formulas have been input or derived (from 267 formulas).
% 1.31/1.49 ; 2045 (12%) were retained. Of these,
% 1.31/1.49 ; 47 ( 2%) were simplified or subsumed later,
% 1.31/1.49 ; 1998 (98%) are still being kept.
% 1.31/1.49 ;
% 1.31/1.49 ; Run time in seconds excluding printing time:
% 1.31/1.49 ; 0.006 1% Read assertion file (1 call)
% 1.31/1.49 ; 0.002 0% Assert (36 calls)
% 1.31/1.49 ; 0.134 14% Process new row (14,410 calls)
% 1.31/1.49 ; 0.291 30% Resolution (532 calls)
% 1.31/1.49 ; 0.009 1% Paramodulation (266 calls)
% 1.31/1.49 ; 0.000 0% Factoring (22 calls)
% 1.31/1.49 ; 0.042 4% Condensing (2,244 calls)
% 1.31/1.49 ; 0.077 8% Forward subsumption (2,244 calls)
% 1.31/1.49 ; 0.018 2% Backward subsumption (740 calls)
% 1.31/1.49 ; 0.060 6% Clause clause subsumption (7,317 calls)
% 1.31/1.49 ; 0.237 24% Forward simplification (14,407 calls)
% 1.31/1.49 ; 0.019 2% Backward simplification (2,045 calls)
% 1.31/1.49 ; 0.014 1% Ordering (6,943 calls)
% 1.31/1.49 ; 0.000 0% Sortal reasoning (32 calls)
% 1.31/1.49 ; 0.000 0% Purity testing (1 call)
% 1.31/1.49 ; 0.075 8% Other
% 1.31/1.49 ; 0.984 Total
% 1.31/1.49 ; 0.994 Real time
% 1.31/1.49 ;
% 1.31/1.49 ; Term-hash-array has 2,950 terms in all.
% 1.31/1.49 ; Feature-vector-row-index has 714 entries (714 at peak, 740 added, 26 deleted).
% 1.31/1.49 ; Feature-vector-row-index has 2,333 nodes (2,333 at peak, 2,474 added, 141 deleted).
% 1.31/1.49 ; Retrieved 13,931 possibly forward subsuming rows in 2,244 calls.
% 1.31/1.49 ; Retrieved 1,314 possibly backward subsumed rows in 740 calls.
% 1.31/1.49 ; Path-index has 2,912 entries (2,912 at peak, 2,961 added, 49 deleted).
% 1.31/1.49 ; Path-index has 1,190 nodes (1,190 at peak, 1,204 added, 14 deleted).
% 1.31/1.49 ; Trie-index has 2,912 entries (2,912 at peak, 2,961 added, 49 deleted).
% 1.31/1.49 ; Trie-index has 7,529 nodes (7,529 at peak, 7,679 added, 150 deleted).
% 1.31/1.49 ; Retrieved 44,253 generalization terms in 47,883 calls.
% 1.31/1.49 ; Retrieved 1,506 instance terms in 1,304 calls.
% 1.31/1.49 ; Retrieved 295,768 unifiable terms in 15,054 calls.
% 1.31/1.49 ;
% 1.31/1.49 ; The agenda of rows to process has 80 entries:
% 1.31/1.49 ; 14 with value 15 4 with value 20 2 with value 23
% 1.31/1.49 ; 16 with value 17 14 with value 22 2 with value 25
% 1.31/1.49 ; 28 with value 19
% 1.31/1.49 ; The agenda of rows to give has 1734 entries:
% 1.31/1.49 ; 43 with value (4 12) 24 with value (4 26) 12 with value (4 40)
% 1.31/1.49 ; 93 with value (4 13) 11 with value (4 27) 6 with value (4 42)
% 1.31/1.49 ; 148 with value (4 14) 4 with value (4 28) 13 with value (4 43)
% 1.31/1.49 ; 202 with value (4 15) 7 with value (4 29) 10 with value (4 44)
% 1.31/1.49 ; 171 with value (4 16) 8 with value (4 30) 4 with value (4 45)
% 1.31/1.49 ; 190 with value (4 17) 12 with value (4 31) 1 with value (4 46)
% 1.31/1.49 ; 240 with value (4 18) 27 with value (4 32) 6 with value (4 47)
% 1.31/1.49 ; 144 with value (4 19) 6 with value (4 33) 8 with value (4 48)
% 1.31/1.49 ; 93 with value (4 20) 7 with value (4 34) 1 with value (4 54)
% 1.31/1.49 ; 32 with value (4 21) 8 with value (4 35) 2 with value (4 55)
% 1.31/1.49 ; 70 with value (4 22) 10 with value (4 36) 3 with value (4 56)
% 1.31/1.49 ; 35 with value (4 23) 8 with value (4 37) 8 with value (4 57)
% 1.31/1.49 ; 22 with value (4 24) 3 with value (4 38) 4 with value (4 58)
% 1.31/1.49 ; 29 with value (4 25) 9 with value (4 39)
% 1.31/1.49 Evaluation took:
% 1.31/1.49 0.995 seconds of real time
% 1.31/1.49 0.89829 seconds of user run time
% 1.31/1.49 0.096126 seconds of system run time
% 1.31/1.49 [Run times include 0.061 seconds GC run time.]
% 1.31/1.49 0 calls to %EVAL
% 1.31/1.49 0 page faults and
% 1.31/1.49 75,690,216 bytes consed.
% 1.31/1.49 :PROOF-FOUND
% 1.31/1.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:08:30
% 1.31/1.49 :PROOF-FOUND
% 1.31/1.49 *
%------------------------------------------------------------------------------