TSTP Solution File: SET075-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET075-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:06:56 EDT 2022
% Result : Unsatisfiable 0.43s 0.59s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 1 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(corollary_1_to_unordered_pair,axiom,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_unordered_pair) ).
cnf(existence_of_null_class,axiom,
~ member(X,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
cnf(prove_corollary_to_unordered_pair_axiom3_1,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).
cnf(prove_corollary_to_unordered_pair_axiom3_2,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).
cnf(316,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[corollary_1_to_unordered_pair,prove_corollary_to_unordered_pair_axiom3_1]),existence_of_null_class,prove_corollary_to_unordered_pair_axiom3_2,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET075-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 19:27:43 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:27:43
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T19:27:43
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.43/0.59 ; Declaring unordered_pair to be commutative.
% 0.43/0.59
% 0.43/0.59 #||
% 0.43/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.59 % SZS output start Refutation
% See solution above
% 0.43/0.59 ||#
% 0.43/0.59
% 0.43/0.59 ; Summary of computation:
% 0.43/0.59 ; 663 formulas have been input or derived (from 84 formulas).
% 0.43/0.59 ; 316 (48%) were retained. Of these,
% 0.43/0.59 ; 15 ( 5%) were simplified or subsumed later,
% 0.43/0.59 ; 301 (95%) are still being kept.
% 0.43/0.59 ;
% 0.43/0.59 ; Run time in seconds:
% 0.43/0.59 ; 0.021 17% Read assertion file (1 call)
% 0.43/0.59 ; 0.003 2% Assert (117 calls)
% 0.43/0.59 ; 0.032 26% Process new row (592 calls)
% 0.43/0.59 ; 0.010 8% Resolution (166 calls)
% 0.43/0.59 ; 0.002 2% Paramodulation (83 calls)
% 0.43/0.59 ; 0.000 0% Factoring (7 calls)
% 0.43/0.59 ; 0.005 4% Condensing (261 calls)
% 0.43/0.59 ; 0.012 10% Forward subsumption (261 calls)
% 0.43/0.59 ; 0.001 1% Backward subsumption (201 calls)
% 0.43/0.59 ; 0.001 1% Clause clause subsumption (262 calls)
% 0.43/0.59 ; 0.007 6% Forward simplification (591 calls)
% 0.43/0.59 ; 0.005 4% Backward simplification (304 calls)
% 0.43/0.59 ; 0.001 1% Ordering (518 calls)
% 0.43/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.59 ; 0.001 1% Purity testing (1 call)
% 0.43/0.59 ; 0.023 19% Other
% 0.43/0.59 ; 0.124 Total
% 0.43/0.59 ; 0.124 Real time
% 0.43/0.59 ;
% 0.43/0.59 ; Term-hash-array has 641 terms in all.
% 0.43/0.59 ; Feature-vector-row-index has 201 entries (201 at peak, 201 added, 0 deleted).
% 0.43/0.59 ; Feature-vector-row-index has 1,079 nodes (1,079 at peak, 1,079 added, 0 deleted).
% 0.43/0.59 ; Retrieved 407 possibly forward subsuming rows in 261 calls.
% 0.43/0.59 ; Retrieved 45 possibly backward subsumed rows in 201 calls.
% 0.43/0.59 ; Path-index has 649 entries (649 at peak, 653 added, 4 deleted).
% 0.43/0.59 ; Path-index has 1,974 nodes (1,974 at peak, 1,977 added, 3 deleted).
% 0.43/0.59 ; Trie-index has 649 entries (649 at peak, 653 added, 4 deleted).
% 0.43/0.59 ; Trie-index has 1,993 nodes (1,993 at peak, 2,001 added, 8 deleted).
% 0.43/0.59 ; Retrieved 529 generalization terms in 1,595 calls.
% 0.43/0.59 ; Retrieved 123 instance terms in 102 calls.
% 0.43/0.59 ; Retrieved 6,062 unifiable terms in 670 calls.
% 0.43/0.59 ;
% 0.43/0.59 ; The agenda of input rows to give has 28 entries:
% 0.43/0.59 ; 1 with value 16 3 with value 21 1 with value 31
% 0.43/0.59 ; 3 with value 17 4 with value 22 1 with value 34
% 0.43/0.59 ; 4 with value 18 1 with value 27 2 with value 35
% 0.43/0.59 ; 1 with value 19 2 with value 30 1 with value 50
% 0.43/0.59 ; 4 with value 20
% 0.43/0.59 ; The agenda of rows to give has 190 entries:
% 0.43/0.59 ; 2 with value (4 4) 13 with value (4 14) 8 with value (4 23)
% 0.43/0.59 ; 6 with value (4 5) 10 with value (4 15) 9 with value (4 24)
% 0.43/0.59 ; 11 with value (4 7) 8 with value (4 16) 2 with value (4 25)
% 0.43/0.59 ; 13 with value (4 8) 10 with value (4 17) 4 with value (4 26)
% 0.43/0.59 ; 3 with value (4 9) 13 with value (4 18) 2 with value (4 27)
% 0.43/0.59 ; 7 with value (4 10) 14 with value (4 19) 3 with value (4 28)
% 0.43/0.59 ; 7 with value (4 11) 14 with value (4 20) 1 with value (4 29)
% 0.43/0.59 ; 8 with value (4 12) 3 with value (4 21) 3 with value (4 30)
% 0.43/0.59 ; 9 with value (4 13) 7 with value (4 22)
% 0.43/0.59 Evaluation took:
% 0.43/0.59 0.125 seconds of real time
% 0.43/0.59 0.109753 seconds of user run time
% 0.43/0.59 0.014897 seconds of system run time
% 0.43/0.59 0 calls to %EVAL
% 0.43/0.59 0 page faults and
% 0.43/0.59 6,915,224 bytes consed.
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:27:43
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 *
%------------------------------------------------------------------------------