TSTP Solution File: SET016-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET016-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:05:49 EDT 2022
% Result : Unsatisfiable 1.55s 1.72s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 10 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 12 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ordered_pair,axiom,
unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(union,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(unordered_pairs_and_singletons,axiom,
unordered_pair(X,Y) = union(singleton(X),singleton(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_and_singletons) ).
cnf(148,plain,
unordered_pair(X,Y) = complement(intersection(complement(singleton(X)),complement(singleton(Y)))),
inference('REWRITE',[status(thm)],[unordered_pairs_and_singletons,union,theory(equality)]) ).
cnf(ordered_pair_determines_components1,axiom,
( ordered_pair(X,Y) != ordered_pair(Z,U)
| ~ member(X,universal_class)
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components1) ).
cnf(prove_ordered_pair_determines_components1_1,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_1) ).
cnf(prove_ordered_pair_determines_components1_2,negated_conjecture,
member(w,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_2) ).
cnf(prove_ordered_pair_determines_components1_3,negated_conjecture,
w != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_3) ).
cnf(175,plain,
complement(intersection(complement(singleton(singleton(X))),complement(singleton(complement(intersection(complement(singleton(X)),complement(singleton(singleton(Y))))))))) = ordered_pair(X,Y),
inference('REWRITE',[status(thm)],[ordered_pair,148,theory(equality)]) ).
cnf(206,plain,
( complement(intersection(complement(singleton(singleton(X))),complement(singleton(complement(intersection(complement(singleton(X)),complement(singleton(singleton(Y))))))))) != complement(intersection(complement(singleton(singleton(Z))),complement(singleton(complement(intersection(complement(singleton(Z)),complement(singleton(singleton(U)))))))))
| ~ member(X,universal_class)
| X = Z ),
inference('REWRITE',[status(thm)],[ordered_pair_determines_components1,175,theory(equality)]) ).
cnf(211,plain,
complement(intersection(complement(singleton(singleton(w))),complement(singleton(complement(intersection(complement(singleton(w)),complement(singleton(singleton(x))))))))) = complement(intersection(complement(singleton(singleton(y))),complement(singleton(complement(intersection(complement(singleton(y)),complement(singleton(singleton(z))))))))),
inference('REWRITE',[status(thm)],[prove_ordered_pair_determines_components1_1,175,theory(equality)]) ).
cnf(1728,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[206,211,prove_ordered_pair_determines_components1_2,prove_ordered_pair_determines_components1_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET016-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.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 09:23:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:23:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-11T09:23:52
% 0.19/0.51
% 0.19/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 1.55/1.72 ; Declaring unordered_pair to be commutative.
% 1.55/1.72
% 1.55/1.72 #||
% 1.55/1.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.55/1.72 % SZS output start Refutation
% See solution above
% 1.55/1.72 ||#
% 1.55/1.72
% 1.55/1.72 ; Summary of computation:
% 1.55/1.72 ; 3576 formulas have been input or derived (from 140 formulas).
% 1.55/1.72 ; 1728 (48%) were retained. Of these,
% 1.55/1.72 ; 86 ( 5%) were simplified or subsumed later,
% 1.55/1.72 ; 1642 (95%) are still being kept.
% 1.55/1.72 ;
% 1.55/1.72 ; Run time in seconds excluding printing time:
% 1.55/1.72 ; 0.030 2% Read assertion file (1 call)
% 1.55/1.72 ; 0.004 0% Assert (168 calls)
% 1.55/1.72 ; 0.235 19% Process new row (3,266 calls)
% 1.55/1.72 ; 0.074 6% Resolution (278 calls)
% 1.55/1.72 ; 0.020 2% Paramodulation (139 calls)
% 1.55/1.72 ; 0.001 0% Factoring (21 calls)
% 1.55/1.72 ; 0.022 2% Condensing (1,902 calls)
% 1.55/1.72 ; 0.490 39% Forward subsumption (1,902 calls)
% 1.55/1.72 ; 0.100 8% Backward subsumption (1,458 calls)
% 1.55/1.72 ; 0.040 3% Clause clause subsumption (14,573 calls)
% 1.55/1.72 ; 0.174 14% Forward simplification (3,265 calls)
% 1.55/1.72 ; 0.010 1% Backward simplification (1,711 calls)
% 1.55/1.72 ; 0.016 1% Ordering (7,200 calls)
% 1.55/1.72 ; 0.000 0% Sortal reasoning (32 calls)
% 1.55/1.72 ; 0.001 0% Purity testing (1 call)
% 1.55/1.72 ; 0.036 3% Other
% 1.55/1.72 ; 1.253 Total
% 1.55/1.72 ; 1.255 Real time
% 1.55/1.72 ;
% 1.55/1.72 ; Term-hash-array has 4,724 terms in all.
% 1.55/1.72 ; Feature-vector-row-index has 1,407 entries (1,407 at peak, 1,458 added, 51 deleted).
% 1.55/1.72 ; Feature-vector-row-index has 13,318 nodes (13,318 at peak, 13,600 added, 282 deleted).
% 1.55/1.72 ; Retrieved 22,973 possibly forward subsuming rows in 1,902 calls.
% 1.55/1.72 ; Retrieved 2,118 possibly backward subsumed rows in 1,458 calls.
% 1.55/1.72 ; Path-index has 4,643 entries (4,643 at peak, 4,791 added, 148 deleted).
% 1.55/1.72 ; Path-index has 10,823 nodes (10,823 at peak, 11,027 added, 204 deleted).
% 1.55/1.72 ; Trie-index has 4,643 entries (4,643 at peak, 4,791 added, 148 deleted).
% 1.55/1.72 ; Trie-index has 21,454 nodes (21,454 at peak, 21,890 added, 436 deleted).
% 1.55/1.72 ; Retrieved 19,050 generalization terms in 35,695 calls.
% 1.55/1.72 ; Retrieved 399 instance terms in 252 calls.
% 1.55/1.72 ; Retrieved 62,797 unifiable terms in 1,874 calls.
% 1.55/1.72 ;
% 1.55/1.72 ; The agenda of rows to process has 116 entries:
% 1.55/1.72 ; 10 with value 5 1 with value 51 2 with value 101
% 1.55/1.72 ; 1 with value 8 1 with value 53 4 with value 104
% 1.55/1.72 ; 3 with value 11 2 with value 54 2 with value 112
% 1.55/1.72 ; 1 with value 12 2 with value 59 4 with value 114
% 1.55/1.72 ; 3 with value 14 2 with value 60 2 with value 122
% 1.55/1.72 ; 5 with value 21 2 with value 62 2 with value 123
% 1.55/1.72 ; 1 with value 23 6 with value 79 4 with value 125
% 1.55/1.72 ; 6 with value 24 2 with value 85 2 with value 134
% 1.55/1.72 ; 3 with value 27 2 with value 86 2 with value 141
% 1.55/1.72 ; 1 with value 39 2 with value 90 2 with value 145
% 1.55/1.72 ; 6 with value 40 4 with value 92 2 with value 150
% 1.55/1.72 ; 3 with value 46 2 with value 95 2 with value 156
% 1.55/1.72 ; 4 with value 48 2 with value 97 2 with value 157
% 1.55/1.72 ; 3 with value 49 4 with value 98
% 1.55/1.72 ; The agenda of input rows to give has 15 entries:
% 1.55/1.72 ; 1 with value 53 1 with value 64 1 with value 123
% 1.55/1.72 ; 1 with value 56 1 with value 66 2 with value 139
% 1.55/1.72 ; 1 with value 57 1 with value 74 2 with value 212
% 1.55/1.72 ; 2 with value 62 2 with value 94
% 1.55/1.72 ; The agenda of rows to give has 1488 entries:
% 1.55/1.72 ; 2 with value (4 4) 22 with value (4 44) 8 with value (4 82)
% 1.55/1.72 ; 2 with value (4 5) 9 with value (4 45) 10 with value (4 83)
% 1.55/1.72 ; 23 with value (4 7) 28 with value (4 46) 13 with value (4 84)
% 1.55/1.72 ; 13 with value (4 8) 18 with value (4 47) 2 with value (4 85)
% 1.55/1.72 ; 11 with value (4 9) 24 with value (4 48) 15 with value (4 86)
% 1.55/1.72 ; 8 with value (4 10) 17 with value (4 49) 20 with value (4 87)
% 1.55/1.72 ; 11 with value (4 11) 20 with value (4 50) 10 with value (4 88)
% 1.55/1.72 ; 11 with value (4 12) 26 with value (4 51) 4 with value (4 89)
% 1.55/1.72 ; 18 with value (4 13) 19 with value (4 52) 8 with value (4 90)
% 1.55/1.72 ; 17 with value (4 14) 15 with value (4 53) 3 with value (4 91)
% 1.55/1.72 ; 22 with value (4 15) 23 with value (4 54) 4 with value (4 92)
% 1.55/1.72 ; 18 with value (4 16) 12 with value (4 55) 11 with value (4 93)
% 1.55/1.72 ; 22 with value (4 17) 15 with value (4 56) 8 with value (4 94)
% 1.55/1.72 ; 25 with value (4 18) 18 with value (4 57) 4 with value (4 95)
% 1.55/1.72 ; 28 with value (4 19) 15 with value (4 58) 8 with value (4 96)
% 1.55/1.72 ; 25 with value (4 20) 29 with value (4 59) 4 with value (4 98)
% 1.55/1.72 ; 19 with value (4 21) 9 with value (4 60) 3 with value (4 99)
% 1.55/1.72 ; 13 with value (4 22) 12 with value (4 61) 4 with value (4 100)
% 1.55/1.72 ; 24 with value (4 23) 18 with value (4 62) 2 with value (4 101)
% 1.55/1.72 ; 18 with value (4 24) 8 with value (4 63) 5 with value (4 102)
% 1.55/1.72 ; 16 with value (4 25) 14 with value (4 64) 4 with value (4 103)
% 1.55/1.72 ; 15 with value (4 26) 16 with value (4 65) 8 with value (4 104)
% 1.55/1.72 ; 19 with value (4 27) 11 with value (4 66) 1 with value (4 105)
% 1.55/1.72 ; 14 with value (4 28) 21 with value (4 67) 8 with value (4 106)
% 1.55/1.72 ; 12 with value (4 29) 17 with value (4 68) 3 with value (4 108)
% 1.55/1.72 ; 16 with value (4 30) 18 with value (4 69) 4 with value (4 109)
% 1.55/1.72 ; 21 with value (4 31) 13 with value (4 70) 6 with value (4 111)
% 1.55/1.72 ; 17 with value (4 32) 15 with value (4 71) 1 with value (4 112)
% 1.55/1.72 ; 15 with value (4 33) 9 with value (4 72) 3 with value (4 113)
% 1.55/1.72 ; 19 with value (4 34) 14 with value (4 73) 2 with value (4 114)
% 1.55/1.72 ; 14 with value (4 35) 11 with value (4 74) 5 with value (4 115)
% 1.55/1.72 ; 17 with value (4 36) 18 with value (4 75) 1 with value (4 120)
% 1.55/1.72 ; 6 with value (4 37) 11 with value (4 76) 4 with value (4 122)
% 1.55/1.72 ; 20 with value (4 38) 19 with value (4 77) 2 with value (4 126)
% 1.55/1.72 ; 14 with value (4 39) 21 with value (4 78) 2 with value (4 127)
% 1.55/1.72 ; 40 with value (4 40) 5 with value (4 79) 2 with value (4 129)
% 1.55/1.72 ; 18 with value (4 41) 5 with value (4 80) 2 with value (4 131)
% 1.55/1.72 ; 26 with value (4 42) 6 with value (4 81) 2 with value (4 144)
% 1.55/1.72 ; 32 with value (4 43)
% 1.55/1.72 Evaluation took:
% 1.55/1.72 1.256 seconds of real time
% 1.55/1.72 1.176913 seconds of user run time
% 1.55/1.72 0.079124 seconds of system run time
% 1.55/1.72 [Run times include 0.125 seconds GC run time.]
% 1.55/1.72 0 calls to %EVAL
% 1.55/1.72 0 page faults and
% 1.55/1.72 131,099,112 bytes consed.
% 1.55/1.72 :PROOF-FOUND
% 1.55/1.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:23:54
% 1.55/1.72 :PROOF-FOUND
% 1.55/1.72 *
%------------------------------------------------------------------------------