TSTP Solution File: SET025-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET025-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 05:06:03 EDT 2022
% Result : Unsatisfiable 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 2 RR)
% Number of literals : 4 ( 1 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(non_ordered_pair4,axiom,
little_set(non_ordered_pair(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',non_ordered_pair4) ).
cnf(ordered_pair,axiom,
ordered_pair(X,Y) = non_ordered_pair(singleton_set(X),non_ordered_pair(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair) ).
cnf(prove_ordered_pairs_are_small,negated_conjecture,
~ little_set(ordered_pair(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pairs_are_small) ).
cnf(182,plain,
$false,
inference('REWRITE',[status(thm)],[prove_ordered_pairs_are_small,non_ordered_pair4,ordered_pair,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET025-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 12:36:00 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:36:00
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-10T12:36:00
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 ||#
% 0.42/0.59
% 0.42/0.59 ; Summary of computation:
% 0.42/0.59 ; 182 formulas have been input or derived (from 1 formulas).
% 0.42/0.59 ; 182 (100%) were retained. Of these,
% 0.42/0.59 ; 31 (17%) were simplified or subsumed later,
% 0.42/0.59 ; 151 (83%) are still being kept.
% 0.42/0.59 ;
% 0.42/0.59 ; Run time in seconds:
% 0.42/0.59 ; 0.030 35% Read assertion file (1 call)
% 0.42/0.59 ; 0.005 6% Assert (151 calls)
% 0.42/0.59 ; 0.017 20% Process new row (151 calls)
% 0.42/0.59 ; 0.001 1% Condensing (139 calls)
% 0.42/0.59 ; 0.003 3% Forward subsumption (139 calls)
% 0.42/0.59 ; 0.002 2% Backward subsumption (139 calls)
% 0.42/0.59 ; 0.000 0% Clause clause subsumption (29 calls)
% 0.42/0.59 ; 0.004 5% Forward simplification (151 calls)
% 0.42/0.59 ; 0.000 0% Backward simplification (151 calls)
% 0.42/0.59 ; 0.000 0% Ordering (6 calls)
% 0.42/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.59 ; 0.000 0% Purity testing (1 call)
% 0.42/0.59 ; 0.024 28% Other
% 0.42/0.59 ; 0.086 Total
% 0.42/0.59 ; 0.087 Real time
% 0.42/0.59 ;
% 0.42/0.59 ; Term-hash-array has 360 terms in all.
% 0.42/0.59 ; Feature-vector-row-index has 139 entries (139 at peak, 139 added, 0 deleted).
% 0.42/0.59 ; Feature-vector-row-index has 508 nodes (508 at peak, 508 added, 0 deleted).
% 0.42/0.59 ; Retrieved 30 possibly forward subsuming rows in 139 calls.
% 0.42/0.59 ; Retrieved 12 possibly backward subsumed rows in 139 calls.
% 0.42/0.59 ; Path-index has 368 entries (368 at peak, 368 added, 0 deleted).
% 0.42/0.59 ; Path-index has 1,962 nodes (1,962 at peak, 1,962 added, 0 deleted).
% 0.42/0.59 ; Trie-index has 368 entries (368 at peak, 368 added, 0 deleted).
% 0.42/0.59 ; Trie-index has 1,420 nodes (1,420 at peak, 1,420 added, 0 deleted).
% 0.42/0.59 ; Retrieved 147 generalization terms in 303 calls.
% 0.42/0.59 ; Retrieved 13 instance terms in 11 calls.
% 0.42/0.59 ;
% 0.42/0.59 ; The agenda of input rows to give has 150 entries:
% 0.42/0.59 ; 2 with value 3 7 with value 15 3 with value 28
% 0.42/0.59 ; 2 with value 4 7 with value 17 1 with value 29
% 0.42/0.59 ; 4 with value 6 6 with value 18 2 with value 30
% 0.42/0.59 ; 6 with value 7 3 with value 19 1 with value 32
% 0.42/0.59 ; 15 with value 8 3 with value 20 4 with value 35
% 0.42/0.59 ; 4 with value 9 1 with value 21 1 with value 38
% 0.42/0.59 ; 9 with value 10 2 with value 22 1 with value 45
% 0.42/0.59 ; 13 with value 11 2 with value 24 1 with value 52
% 0.42/0.59 ; 20 with value 12 1 with value 25 2 with value 54
% 0.42/0.59 ; 12 with value 13 2 with value 26 1 with value 81
% 0.42/0.59 ; 9 with value 14 3 with value 27
% 0.42/0.59 Evaluation took:
% 0.42/0.59 0.088 seconds of real time
% 0.42/0.59 0.079244 seconds of user run time
% 0.42/0.59 0.008074 seconds of system run time
% 0.42/0.59 0 calls to %EVAL
% 0.42/0.59 0 page faults and
% 0.42/0.59 4,111,128 bytes consed.
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:36:01
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 *
%------------------------------------------------------------------------------