TSTP Solution File: SET108-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET108-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 05:07:28 EDT 2022
% Result : Unsatisfiable 1.21s 1.39s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 11 unt; 0 nHn; 8 RR)
% Number of literals : 15 ( 8 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 20 ( 5 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 4 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(cartesian_product4,axiom,
( ~ member(X,cross_product(Y,Z))
| ordered_pair(first(X),second(X)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
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(prove_existence_of_1st_and_2nd_1_1,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_1) ).
cnf(prove_existence_of_1st_and_2nd_1_2,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_2) ).
cnf(165,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(166,plain,
( ~ member(X,cross_product(Y,Z))
| complement(intersection(complement(singleton(singleton(first(X)))),complement(singleton(complement(intersection(complement(singleton(first(X))),complement(singleton(singleton(second(X)))))))))) = X ),
inference('REWRITE',[status(thm)],[cartesian_product4,165,theory(equality)]) ).
cnf(193,plain,
member(complement(intersection(complement(singleton(singleton(y))),complement(singleton(complement(intersection(complement(singleton(y)),complement(singleton(singleton(z))))))))),cross_product(universal_class,universal_class)),
inference('REWRITE',[status(thm)],[prove_existence_of_1st_and_2nd_1_1,165,theory(equality)]) ).
cnf(194,plain,
~ member(complement(intersection(complement(singleton(singleton(first(complement(intersection(complement(singleton(singleton(y))),complement(singleton(complement(intersection(complement(singleton(y)),complement(singleton(singleton(z))))))))))))),complement(singleton(complement(intersection(complement(singleton(first(complement(intersection(complement(singleton(singleton(y))),complement(singleton(complement(intersection(complement(singleton(y)),complement(singleton(singleton(z)))))))))))),complement(singleton(singleton(second(complement(intersection(complement(singleton(singleton(y))),complement(singleton(complement(intersection(complement(singleton(y)),complement(singleton(singleton(z))))))))))))))))))),cross_product(universal_class,universal_class)),
inference('REWRITE',[status(thm)],[prove_existence_of_1st_and_2nd_1_2,165,theory(equality)]) ).
cnf(1361,plain,
complement(intersection(complement(singleton(singleton(first(complement(intersection(complement(singleton(singleton(y))),complement(singleton(complement(intersection(complement(singleton(y)),complement(singleton(singleton(z))))))))))))),complement(singleton(complement(intersection(complement(singleton(first(complement(intersection(complement(singleton(singleton(y))),complement(singleton(complement(intersection(complement(singleton(y)),complement(singleton(singleton(z)))))))))))),complement(singleton(singleton(second(complement(intersection(complement(singleton(singleton(y))),complement(singleton(complement(intersection(complement(singleton(y)),complement(singleton(singleton(z))))))))))))))))))) = complement(intersection(complement(singleton(singleton(y))),complement(singleton(complement(intersection(complement(singleton(y)),complement(singleton(singleton(z))))))))),
inference('HYPERRESOLVE',[status(thm)],[166,193]) ).
cnf(1362,plain,
$false,
inference('REWRITE',[status(thm)],[194,193,1361,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET108-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 13:47:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:47:33
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-10T13:47:33
% 0.20/0.53
% 0.20/0.53 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 1.21/1.39 ; Declaring unordered_pair to be commutative.
% 1.21/1.39
% 1.21/1.39 #||
% 1.21/1.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.21/1.39 % SZS output start Refutation
% See solution above
% 1.21/1.39 ||#
% 1.21/1.39
% 1.21/1.39 ; Summary of computation:
% 1.21/1.39 ; 2808 formulas have been input or derived (from 125 formulas).
% 1.21/1.39 ; 1362 (49%) were retained. Of these,
% 1.21/1.39 ; 73 ( 5%) were simplified or subsumed later,
% 1.21/1.39 ; 1289 (95%) are still being kept.
% 1.21/1.39 ;
% 1.21/1.39 ; Run time in seconds excluding printing time:
% 1.21/1.39 ; 0.028 3% Read assertion file (1 call)
% 1.21/1.39 ; 0.005 1% Assert (154 calls)
% 1.21/1.39 ; 0.183 20% Process new row (2,614 calls)
% 1.21/1.39 ; 0.061 7% Resolution (248 calls)
% 1.21/1.39 ; 0.012 1% Paramodulation (124 calls)
% 1.21/1.39 ; 0.000 0% Factoring (16 calls)
% 1.21/1.39 ; 0.032 4% Condensing (1,443 calls)
% 1.21/1.39 ; 0.278 31% Forward subsumption (1,443 calls)
% 1.21/1.39 ; 0.060 7% Backward subsumption (1,104 calls)
% 1.21/1.39 ; 0.067 7% Clause clause subsumption (11,890 calls)
% 1.21/1.39 ; 0.126 14% Forward simplification (2,613 calls)
% 1.21/1.39 ; 0.005 1% Backward simplification (1,345 calls)
% 1.21/1.39 ; 0.014 2% Ordering (5,274 calls)
% 1.21/1.39 ; 0.001 0% Sortal reasoning (32 calls)
% 1.21/1.39 ; 0.000 0% Purity testing (1 call)
% 1.21/1.39 ; 0.033 4% Other
% 1.21/1.39 ; 0.905 Total
% 1.21/1.39 ; 0.909 Real time
% 1.21/1.39 ;
% 1.21/1.39 ; Term-hash-array has 3,939 terms in all.
% 1.21/1.39 ; Feature-vector-row-index has 1,067 entries (1,067 at peak, 1,104 added, 37 deleted).
% 1.21/1.39 ; Feature-vector-row-index has 9,282 nodes (9,282 at peak, 9,476 added, 194 deleted).
% 1.21/1.39 ; Retrieved 17,414 possibly forward subsuming rows in 1,443 calls.
% 1.21/1.39 ; Retrieved 1,663 possibly backward subsumed rows in 1,104 calls.
% 1.21/1.39 ; Path-index has 3,862 entries (3,863 at peak, 3,999 added, 137 deleted).
% 1.21/1.39 ; Path-index has 8,911 nodes (8,920 at peak, 9,103 added, 192 deleted).
% 1.21/1.39 ; Trie-index has 3,862 entries (3,863 at peak, 3,999 added, 137 deleted).
% 1.21/1.39 ; Trie-index has 17,329 nodes (17,395 at peak, 17,791 added, 462 deleted).
% 1.21/1.39 ; Retrieved 12,808 generalization terms in 24,727 calls.
% 1.21/1.39 ; Retrieved 382 instance terms in 240 calls.
% 1.21/1.39 ; Retrieved 46,602 unifiable terms in 1,558 calls.
% 1.21/1.39 ;
% 1.21/1.39 ; The agenda of rows to process has 1 entry:
% 1.21/1.39 ; 1 with value 109
% 1.21/1.39 ; The agenda of input rows to give has 19 entries:
% 1.21/1.39 ; 1 with value 43 1 with value 56 1 with value 74
% 1.21/1.39 ; 4 with value 46 1 with value 57 2 with value 94
% 1.21/1.39 ; 1 with value 48 1 with value 64 2 with value 139
% 1.21/1.39 ; 2 with value 53 1 with value 66 2 with value 212
% 1.21/1.39 ; The agenda of rows to give has 1146 entries:
% 1.21/1.39 ; 2 with value (4 4) 11 with value (4 39) 15 with value (4 73)
% 1.21/1.39 ; 4 with value (4 5) 31 with value (4 40) 10 with value (4 74)
% 1.21/1.39 ; 13 with value (4 7) 18 with value (4 41) 17 with value (4 75)
% 1.21/1.39 ; 11 with value (4 8) 22 with value (4 42) 7 with value (4 76)
% 1.21/1.39 ; 10 with value (4 9) 20 with value (4 43) 10 with value (4 77)
% 1.21/1.39 ; 8 with value (4 10) 16 with value (4 44) 11 with value (4 78)
% 1.21/1.39 ; 6 with value (4 11) 7 with value (4 45) 3 with value (4 79)
% 1.21/1.39 ; 9 with value (4 12) 22 with value (4 46) 7 with value (4 80)
% 1.21/1.39 ; 13 with value (4 13) 14 with value (4 47) 10 with value (4 81)
% 1.21/1.39 ; 15 with value (4 14) 22 with value (4 48) 4 with value (4 82)
% 1.21/1.39 ; 21 with value (4 15) 11 with value (4 49) 8 with value (4 83)
% 1.21/1.39 ; 16 with value (4 16) 15 with value (4 50) 6 with value (4 84)
% 1.21/1.39 ; 20 with value (4 17) 15 with value (4 51) 9 with value (4 86)
% 1.21/1.39 ; 23 with value (4 18) 12 with value (4 52) 11 with value (4 87)
% 1.21/1.39 ; 27 with value (4 19) 12 with value (4 53) 3 with value (4 88)
% 1.21/1.39 ; 19 with value (4 20) 21 with value (4 54) 4 with value (4 89)
% 1.21/1.40 ; 19 with value (4 21) 10 with value (4 55) 6 with value (4 90)
% 1.21/1.40 ; 13 with value (4 22) 11 with value (4 56) 1 with value (4 91)
% 1.21/1.40 ; 23 with value (4 23) 14 with value (4 57) 8 with value (4 93)
% 1.21/1.40 ; 18 with value (4 24) 13 with value (4 58) 5 with value (4 94)
% 1.21/1.40 ; 16 with value (4 25) 21 with value (4 59) 1 with value (4 95)
% 1.21/1.40 ; 11 with value (4 26) 9 with value (4 60) 5 with value (4 96)
% 1.21/1.40 ; 16 with value (4 27) 9 with value (4 61) 1 with value (4 98)
% 1.21/1.40 ; 14 with value (4 28) 12 with value (4 62) 3 with value (4 99)
% 1.21/1.40 ; 8 with value (4 29) 3 with value (4 63) 2 with value (4 100)
% 1.21/1.40 ; 15 with value (4 30) 9 with value (4 64) 1 with value (4 101)
% 1.21/1.40 ; 21 with value (4 31) 13 with value (4 65) 4 with value (4 102)
% 1.21/1.40 ; 10 with value (4 32) 9 with value (4 66) 2 with value (4 103)
% 1.21/1.40 ; 14 with value (4 33) 20 with value (4 67) 4 with value (4 106)
% 1.21/1.40 ; 19 with value (4 34) 15 with value (4 68) 1 with value (4 107)
% 1.21/1.40 ; 13 with value (4 35) 12 with value (4 69) 2 with value (4 109)
% 1.21/1.40 ; 13 with value (4 36) 11 with value (4 70) 1 with value (4 113)
% 1.21/1.40 ; 6 with value (4 37) 10 with value (4 71) 2 with value (4 129)
% 1.21/1.40 ; 15 with value (4 38) 9 with value (4 72) 2 with value (4 144)
% 1.21/1.40 Evaluation took:
% 1.21/1.40 0.91 seconds of real time
% 1.21/1.40 0.844302 seconds of user run time
% 1.21/1.40 0.063916 seconds of system run time
% 1.21/1.40 [Run times include 0.074 seconds GC run time.]
% 1.21/1.40 0 calls to %EVAL
% 1.21/1.40 0 page faults and
% 1.21/1.40 92,252,728 bytes consed.
% 1.21/1.40 :PROOF-FOUND
% 1.21/1.40 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:47:34
% 1.21/1.40 :PROOF-FOUND
% 1.21/1.40 *
%------------------------------------------------------------------------------