TSTP Solution File: SET018-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET018-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 05:05:54 EDT 2022
% Result : Unsatisfiable 1.84s 2.07s
% Output : Refutation 1.84s
% 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 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ordered_pair,axiom,
unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(union,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
cnf(unordered_pairs_and_singletons,axiom,
unordered_pair(X,Y) = union(singleton(X),singleton(Y)),
file('/export/starexec/sandbox/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_components2,axiom,
( ordered_pair(X,Y) != ordered_pair(Z,U)
| ~ member(Y,universal_class)
| Y = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).
cnf(prove_ordered_pair_determines_components2_1,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_1) ).
cnf(prove_ordered_pair_determines_components2_2,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_2) ).
cnf(prove_ordered_pair_determines_components2_3,negated_conjecture,
x != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_3) ).
cnf(177,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(209,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(Y,universal_class)
| Y = U ),
inference('REWRITE',[status(thm)],[ordered_pair_determines_components2,177,theory(equality)]) ).
cnf(215,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_components2_1,177,theory(equality)]) ).
cnf(1980,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[209,215,prove_ordered_pair_determines_components2_2,prove_ordered_pair_determines_components2_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET018-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jul 10 12:43:35 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:43:36
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-10T12:43:36
% 0.22/0.54
% 0.22/0.54 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 1.84/2.07 ; Declaring unordered_pair to be commutative.
% 1.84/2.07
% 1.84/2.07 #||
% 1.84/2.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.84/2.07 % SZS output start Refutation
% See solution above
% 1.84/2.07 ||#
% 1.84/2.07
% 1.84/2.07 ; Summary of computation:
% 1.84/2.07 ; 4156 formulas have been input or derived (from 143 formulas).
% 1.84/2.07 ; 1980 (48%) were retained. Of these,
% 1.84/2.07 ; 132 ( 7%) were simplified or subsumed later,
% 1.84/2.07 ; 1848 (93%) are still being kept.
% 1.84/2.07 ;
% 1.84/2.07 ; Run time in seconds excluding printing time:
% 1.84/2.07 ; 0.032 2% Read assertion file (1 call)
% 1.84/2.07 ; 0.002 0% Assert (170 calls)
% 1.84/2.07 ; 0.314 20% Process new row (3,812 calls)
% 1.84/2.07 ; 0.107 7% Resolution (284 calls)
% 1.84/2.07 ; 0.018 1% Paramodulation (142 calls)
% 1.93/2.08 ; 0.000 0% Factoring (23 calls)
% 1.93/2.08 ; 0.038 2% Condensing (2,247 calls)
% 1.93/2.08 ; 0.585 37% Forward subsumption (2,247 calls)
% 1.93/2.08 ; 0.120 8% Backward subsumption (1,709 calls)
% 1.93/2.08 ; 0.049 3% Clause clause subsumption (17,654 calls)
% 1.93/2.08 ; 0.241 15% Forward simplification (3,811 calls)
% 1.93/2.08 ; 0.012 1% Backward simplification (1,963 calls)
% 1.93/2.08 ; 0.016 1% Ordering (8,177 calls)
% 1.93/2.08 ; 0.000 0% Sortal reasoning (32 calls)
% 1.93/2.08 ; 0.000 0% Purity testing (1 call)
% 1.93/2.08 ; 0.041 3% Other
% 1.93/2.08 ; 1.575 Total
% 1.93/2.08 ; 1.585 Real time
% 1.93/2.08 ;
% 1.93/2.08 ; Term-hash-array has 4,965 terms in all.
% 1.93/2.08 ; Feature-vector-row-index has 1,612 entries (1,652 at peak, 1,709 added, 97 deleted).
% 1.93/2.08 ; Feature-vector-row-index has 15,079 nodes (15,459 at peak, 15,789 added, 710 deleted).
% 1.93/2.08 ; Retrieved 28,556 possibly forward subsuming rows in 2,247 calls.
% 1.93/2.08 ; Retrieved 2,710 possibly backward subsumed rows in 1,709 calls.
% 1.93/2.08 ; Path-index has 4,793 entries (4,878 at peak, 5,032 added, 239 deleted).
% 1.93/2.08 ; Path-index has 11,233 nodes (11,338 at peak, 11,543 added, 310 deleted).
% 1.93/2.08 ; Trie-index has 4,793 entries (4,878 at peak, 5,032 added, 239 deleted).
% 1.93/2.08 ; Trie-index has 22,969 nodes (24,191 at peak, 24,638 added, 1,669 deleted).
% 1.93/2.08 ; Retrieved 27,798 generalization terms in 49,666 calls.
% 1.93/2.08 ; Retrieved 402 instance terms in 253 calls.
% 1.93/2.08 ; Retrieved 72,768 unifiable terms in 1,969 calls.
% 1.93/2.08 ;
% 1.93/2.08 ; The agenda of rows to process has 130 entries:
% 1.93/2.08 ; 10 with value 5 6 with value 52 2 with value 112
% 1.93/2.08 ; 1 with value 8 2 with value 54 4 with value 114
% 1.93/2.08 ; 3 with value 11 2 with value 58 2 with value 115
% 1.93/2.08 ; 1 with value 12 2 with value 61 2 with value 122
% 1.93/2.08 ; 3 with value 14 2 with value 63 2 with value 123
% 1.93/2.08 ; 5 with value 21 6 with value 79 4 with value 125
% 1.93/2.08 ; 1 with value 23 4 with value 85 4 with value 126
% 1.93/2.08 ; 6 with value 24 2 with value 89 2 with value 134
% 1.93/2.08 ; 3 with value 27 4 with value 91 2 with value 141
% 1.93/2.08 ; 1 with value 39 2 with value 93 2 with value 145
% 1.93/2.08 ; 6 with value 40 2 with value 95 2 with value 150
% 1.93/2.08 ; 3 with value 46 4 with value 98 2 with value 157
% 1.93/2.08 ; 4 with value 48 4 with value 100 4 with value 203
% 1.93/2.08 ; 5 with value 49 2 with value 101
% 1.93/2.08 ; The agenda of input rows to give has 14 entries:
% 1.93/2.08 ; 1 with value 56 1 with value 66 1 with value 123
% 1.93/2.08 ; 1 with value 57 1 with value 74 2 with value 139
% 1.93/2.08 ; 2 with value 62 2 with value 94 2 with value 212
% 1.93/2.08 ; 1 with value 64
% 1.93/2.08 ; The agenda of rows to give has 1692 entries:
% 1.93/2.08 ; 2 with value (4 4) 9 with value (4 45) 10 with value (4 85)
% 1.93/2.08 ; 2 with value (4 5) 31 with value (4 46) 17 with value (4 86)
% 1.93/2.08 ; 23 with value (4 7) 18 with value (4 47) 30 with value (4 87)
% 1.93/2.08 ; 13 with value (4 8) 28 with value (4 48) 10 with value (4 88)
% 1.93/2.08 ; 11 with value (4 9) 19 with value (4 49) 8 with value (4 89)
% 1.93/2.08 ; 8 with value (4 10) 20 with value (4 50) 16 with value (4 90)
% 1.93/2.08 ; 13 with value (4 11) 26 with value (4 51) 3 with value (4 91)
% 1.93/2.08 ; 11 with value (4 12) 23 with value (4 52) 4 with value (4 92)
% 1.93/2.08 ; 18 with value (4 13) 15 with value (4 53) 13 with value (4 93)
% 1.93/2.08 ; 17 with value (4 14) 31 with value (4 54) 10 with value (4 94)
% 1.93/2.08 ; 22 with value (4 15) 16 with value (4 55) 8 with value (4 95)
% 1.93/2.08 ; 18 with value (4 16) 19 with value (4 56) 10 with value (4 96)
% 1.93/2.08 ; 22 with value (4 17) 18 with value (4 57) 12 with value (4 98)
% 1.93/2.08 ; 25 with value (4 18) 17 with value (4 58) 3 with value (4 99)
% 1.93/2.08 ; 28 with value (4 19) 37 with value (4 59) 4 with value (4 100)
% 1.93/2.08 ; 25 with value (4 20) 13 with value (4 60) 6 with value (4 101)
% 1.93/2.08 ; 21 with value (4 21) 12 with value (4 61) 5 with value (4 102)
% 1.93/2.08 ; 13 with value (4 22) 20 with value (4 62) 4 with value (4 103)
% 1.93/2.08 ; 24 with value (4 23) 12 with value (4 63) 8 with value (4 104)
% 1.93/2.08 ; 22 with value (4 24) 18 with value (4 64) 3 with value (4 105)
% 1.93/2.08 ; 16 with value (4 25) 16 with value (4 65) 8 with value (4 106)
% 1.93/2.08 ; 15 with value (4 26) 13 with value (4 66) 5 with value (4 108)
% 1.93/2.08 ; 21 with value (4 27) 23 with value (4 67) 4 with value (4 109)
% 1.93/2.08 ; 14 with value (4 28) 17 with value (4 68) 10 with value (4 111)
% 1.93/2.08 ; 12 with value (4 29) 22 with value (4 69) 3 with value (4 112)
% 1.93/2.08 ; 16 with value (4 30) 13 with value (4 70) 3 with value (4 113)
% 1.93/2.08 ; 21 with value (4 31) 15 with value (4 71) 10 with value (4 114)
% 1.93/2.08 ; 17 with value (4 32) 9 with value (4 72) 7 with value (4 115)
% 1.93/2.08 ; 15 with value (4 33) 14 with value (4 73) 8 with value (4 116)
% 1.93/2.08 ; 19 with value (4 34) 11 with value (4 74) 2 with value (4 118)
% 1.93/2.08 ; 14 with value (4 35) 18 with value (4 75) 1 with value (4 120)
% 1.93/2.08 ; 17 with value (4 36) 17 with value (4 76) 8 with value (4 122)
% 1.93/2.08 ; 6 with value (4 37) 19 with value (4 77) 4 with value (4 123)
% 1.93/2.08 ; 20 with value (4 38) 21 with value (4 78) 6 with value (4 126)
% 1.93/2.08 ; 15 with value (4 39) 19 with value (4 79) 2 with value (4 127)
% 1.93/2.08 ; 44 with value (4 40) 9 with value (4 80) 2 with value (4 129)
% 1.93/2.08 ; 18 with value (4 41) 10 with value (4 81) 2 with value (4 131)
% 1.93/2.08 ; 26 with value (4 42) 8 with value (4 82) 4 with value (4 134)
% 1.93/2.08 ; 32 with value (4 43) 10 with value (4 83) 2 with value (4 144)
% 1.93/2.08 ; 22 with value (4 44) 13 with value (4 84)
% 1.93/2.08 Evaluation took:
% 1.93/2.08 1.587 seconds of real time
% 1.93/2.08 1.484529 seconds of user run time
% 1.93/2.08 0.102928 seconds of system run time
% 1.93/2.08 [Run times include 0.162 seconds GC run time.]
% 1.93/2.08 0 calls to %EVAL
% 1.93/2.08 0 page faults and
% 1.93/2.08 163,774,832 bytes consed.
% 1.93/2.08 :PROOF-FOUND
% 1.93/2.08 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:43:37
% 1.93/2.08 :PROOF-FOUND
% 1.93/2.08 *
%------------------------------------------------------------------------------