TSTP Solution File: SET203-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET203-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 05:08:20 EDT 2022
% Result : Unsatisfiable 0.43s 0.59s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(cartesian_product3,axiom,
( ~ member(X,Y)
| ~ member(Z,U)
| member(ordered_pair(X,Z),cross_product(Y,U)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(prove_corollary_to_X_product_property1_1,negated_conjecture,
member(u,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_1) ).
cnf(prove_corollary_to_X_product_property1_2,negated_conjecture,
member(v,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_2) ).
cnf(prove_corollary_to_X_product_property1_3,negated_conjecture,
~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_3) ).
cnf(159,plain,
member(v,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_corollary_to_X_product_property1_2]) ).
cnf(160,plain,
member(u,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_corollary_to_X_product_property1_1]) ).
cnf(328,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cartesian_product3,159,prove_corollary_to_X_product_property1_3]),160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : SET203-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 06:07:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T06:07:46
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-10T06:07:46
% 0.43/0.59
% 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 ; 604 formulas have been input or derived (from 118 formulas).
% 0.43/0.59 ; 328 (54%) were retained. Of these,
% 0.43/0.59 ; 16 ( 5%) were simplified or subsumed later,
% 0.43/0.59 ; 312 (95%) are still being kept.
% 0.43/0.59 ;
% 0.43/0.59 ; Run time in seconds excluding printing time:
% 0.43/0.59 ; 0.021 16% Read assertion file (1 call)
% 0.43/0.59 ; 0.004 3% Assert (115 calls)
% 0.43/0.59 ; 0.029 22% Process new row (505 calls)
% 0.43/0.59 ; 0.015 12% Resolution (234 calls)
% 0.43/0.59 ; 0.002 2% Paramodulation (117 calls)
% 0.43/0.59 ; 0.000 0% Factoring (3 calls)
% 0.43/0.59 ; 0.004 3% Condensing (201 calls)
% 0.43/0.59 ; 0.007 5% Forward subsumption (201 calls)
% 0.43/0.59 ; 0.005 4% Backward subsumption (184 calls)
% 0.43/0.59 ; 0.000 0% Clause clause subsumption (107 calls)
% 0.43/0.59 ; 0.011 9% Forward simplification (505 calls)
% 0.43/0.59 ; 0.002 2% Backward simplification (313 calls)
% 0.43/0.59 ; 0.003 2% Ordering (378 calls)
% 0.43/0.59 ; 0.001 1% Sortal reasoning (32 calls)
% 0.43/0.59 ; 0.000 0% Purity testing (1 call)
% 0.43/0.59 ; 0.025 19% Other
% 0.43/0.59 ; 0.129 Total
% 0.43/0.59 ; 0.131 Real time
% 0.43/0.59 ;
% 0.43/0.59 ; Term-hash-array has 885 terms in all.
% 0.43/0.59 ; Feature-vector-row-index has 184 entries (184 at peak, 184 added, 0 deleted).
% 0.43/0.59 ; Feature-vector-row-index has 1,293 nodes (1,293 at peak, 1,293 added, 0 deleted).
% 0.43/0.59 ; Retrieved 108 possibly forward subsuming rows in 201 calls.
% 0.43/0.59 ; Retrieved 24 possibly backward subsumed rows in 184 calls.
% 0.43/0.59 ; Path-index has 900 entries (900 at peak, 901 added, 1 deleted).
% 0.43/0.59 ; Path-index has 3,126 nodes (3,126 at peak, 3,127 added, 1 deleted).
% 0.43/0.59 ; Trie-index has 900 entries (900 at peak, 901 added, 1 deleted).
% 0.43/0.59 ; Trie-index has 3,156 nodes (3,156 at peak, 3,157 added, 1 deleted).
% 0.43/0.59 ; Retrieved 392 generalization terms in 1,428 calls.
% 0.43/0.59 ; Retrieved 152 instance terms in 128 calls.
% 0.43/0.59 ; Retrieved 9,458 unifiable terms in 1,002 calls.
% 0.43/0.59 ;
% 0.43/0.59 ; The agenda of rows to process has 51 entries:
% 0.43/0.59 ; 5 with value 8 1 with value 12 2 with value 17
% 0.43/0.59 ; 14 with value 9 2 with value 13 1 with value 20
% 0.43/0.59 ; 22 with value 11 4 with value 14
% 0.43/0.59 ; The agenda of rows to give has 194 entries:
% 0.43/0.59 ; 1 with value (4 5) 12 with value (4 19) 2 with value (4 33)
% 0.43/0.59 ; 1 with value (4 6) 4 with value (4 20) 3 with value (4 34)
% 0.43/0.59 ; 6 with value (4 7) 3 with value (4 21) 2 with value (4 37)
% 0.43/0.59 ; 14 with value (4 8) 4 with value (4 22) 1 with value (4 43)
% 0.43/0.59 ; 5 with value (4 9) 4 with value (4 23) 1 with value (4 44)
% 0.43/0.59 ; 15 with value (4 10) 5 with value (4 24) 1 with value (4 45)
% 0.43/0.59 ; 12 with value (4 11) 5 with value (4 26) 4 with value (4 46)
% 0.43/0.59 ; 7 with value (4 12) 1 with value (4 27) 2 with value (4 49)
% 0.43/0.59 ; 20 with value (4 13) 2 with value (4 28) 1 with value (4 51)
% 0.43/0.59 ; 7 with value (4 14) 3 with value (4 29) 1 with value (4 53)
% 0.43/0.59 ; 10 with value (4 15) 3 with value (4 30) 1 with value (4 55)
% 0.43/0.59 ; 14 with value (4 16) 1 with value (4 31) 1 with value (4 59)
% 0.43/0.59 ; 7 with value (4 17) 1 with value (4 32) 1 with value (4 63)
% 0.43/0.59 ; 6 with value (4 18)
% 0.43/0.59 Evaluation took:
% 0.43/0.59 0.131 seconds of real time
% 0.43/0.59 0.112794 seconds of user run time
% 0.43/0.59 0.018113 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 7,352,880 bytes consed.
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T06:07:46
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 *
%------------------------------------------------------------------------------