TSTP Solution File: SET023-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET023-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 05:06:00 EDT 2022
% Result : Unsatisfiable 2.24s 2.43s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 22 ( 7 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(ordered_pair_predicate1,axiom,
( ~ ordered_pair_predicate(X)
| little_set(f2(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair_predicate1) ).
cnf(ordered_pair_predicate2,axiom,
( ~ ordered_pair_predicate(X)
| little_set(f3(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair_predicate2) ).
cnf(ordered_pair_predicate3,axiom,
( ~ ordered_pair_predicate(X)
| X = ordered_pair(f2(X),f3(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair_predicate3) ).
cnf(14,plain,
( ~ ordered_pair_predicate(X)
| X = non_ordered_pair(singleton_set(f2(X)),non_ordered_pair(f2(X),f3(X))) ),
inference('REWRITE',[status(thm)],[ordered_pair_predicate3,ordered_pair,theory(equality)]) ).
cnf(property_of_second,axiom,
( ~ little_set(X)
| ~ little_set(Y)
| second(ordered_pair(X,Y)) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_second) ).
cnf(177,plain,
( ~ little_set(X)
| ~ little_set(Y)
| second(non_ordered_pair(singleton_set(X),non_ordered_pair(X,Y))) = Y ),
inference('REWRITE',[status(thm)],[property_of_second,ordered_pair,theory(equality)]) ).
cnf(an_ordered_pair_predicate,hypothesis,
ordered_pair_predicate(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_ordered_pair_predicate) ).
cnf(prove_second_component_is_small,negated_conjecture,
~ little_set(second(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_second_component_is_small) ).
cnf(190,plain,
little_set(f2(a)),
inference('HYPERRESOLVE',[status(thm)],[ordered_pair_predicate1,an_ordered_pair_predicate]) ).
cnf(191,plain,
little_set(f3(a)),
inference('HYPERRESOLVE',[status(thm)],[ordered_pair_predicate2,an_ordered_pair_predicate]) ).
cnf(570,plain,
a = non_ordered_pair(singleton_set(f2(a)),non_ordered_pair(f2(a),f3(a))),
inference('HYPERRESOLVE',[status(thm)],[14,an_ordered_pair_predicate]) ).
cnf(1181,plain,
second(a) = f3(a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[177,191,190]),570,theory(equality)]) ).
cnf(1182,plain,
$false,
inference('REWRITE',[status(thm)],[prove_second_component_is_small,191,1181,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET023-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 02:00:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T02:01:00
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-11T02:01:00
% 2.24/2.43
% 2.24/2.43
% 2.24/2.43 #||
% 2.24/2.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.24/2.43 % SZS output start Refutation
% See solution above
% 2.24/2.43 ||#
% 2.24/2.43
% 2.24/2.43 ; Summary of computation:
% 2.24/2.43 ; 3433 formulas have been input or derived (from 167 formulas).
% 2.24/2.43 ; 1182 (34%) were retained. Of these,
% 2.24/2.43 ; 48 ( 4%) were simplified or subsumed later,
% 2.24/2.43 ; 1134 (96%) are still being kept.
% 2.24/2.43 ;
% 2.24/2.43 ; Run time in seconds excluding printing time:
% 2.24/2.43 ; 0.029 1% Read assertion file (1 call)
% 2.24/2.43 ; 0.005 0% Assert (150 calls)
% 2.24/2.43 ; 0.106 5% Process new row (2,770 calls)
% 2.24/2.43 ; 1.591 81% Resolution (332 calls)
% 2.24/2.43 ; 0.003 0% Paramodulation (166 calls)
% 2.24/2.43 ; 0.000 0% Factoring (13 calls)
% 2.24/2.43 ; 0.020 1% Condensing (1,906 calls)
% 2.24/2.43 ; 0.077 4% Forward subsumption (1,906 calls)
% 2.24/2.43 ; 0.018 1% Backward subsumption (930 calls)
% 2.24/2.43 ; 0.006 0% Clause clause subsumption (2,409 calls)
% 2.24/2.43 ; 0.063 3% Forward simplification (2,770 calls)
% 2.24/2.43 ; 0.003 0% Backward simplification (1,152 calls)
% 2.24/2.43 ; 0.006 0% Ordering (2,884 calls)
% 2.24/2.43 ; 0.000 0% Sortal reasoning (32 calls)
% 2.24/2.43 ; 0.000 0% Purity testing (1 call)
% 2.24/2.43 ; 0.031 2% Other
% 2.24/2.43 ; 1.958 Total
% 2.24/2.43 ; 1.960 Real time
% 2.24/2.43 ;
% 2.24/2.43 ; Term-hash-array has 3,005 terms in all.
% 2.24/2.43 ; Feature-vector-row-index has 924 entries (924 at peak, 930 added, 6 deleted).
% 2.24/2.43 ; Feature-vector-row-index has 5,533 nodes (5,544 at peak, 5,584 added, 51 deleted).
% 2.24/2.43 ; Retrieved 3,439 possibly forward subsuming rows in 1,906 calls.
% 2.24/2.43 ; Retrieved 293 possibly backward subsumed rows in 930 calls.
% 2.24/2.43 ; Path-index has 2,991 entries (2,995 at peak, 3,012 added, 21 deleted).
% 2.24/2.43 ; Path-index has 15,329 nodes (15,333 at peak, 15,351 added, 22 deleted).
% 2.24/2.43 ; Trie-index has 2,991 entries (2,995 at peak, 3,012 added, 21 deleted).
% 2.24/2.43 ; Trie-index has 18,848 nodes (18,857 at peak, 18,910 added, 62 deleted).
% 2.24/2.43 ; Retrieved 7,825 generalization terms in 12,074 calls.
% 2.24/2.43 ; Retrieved 224 instance terms in 221 calls.
% 2.24/2.43 ; Retrieved 3,602,384 unifiable terms in 36,513 calls.
% 2.24/2.43 ;
% 2.24/2.43 ; The agenda of backward simplifiable rows to process has 3 entries:
% 2.24/2.43 ; 3 with value 0
% 2.24/2.43 ; The agenda of rows to process has 463 entries:
% 2.24/2.43 ; 20 with value 20 10 with value 29 2 with value 38
% 2.24/2.43 ; 21 with value 21 20 with value 30 2 with value 39
% 2.24/2.43 ; 31 with value 22 40 with value 31 12 with value 40
% 2.24/2.43 ; 34 with value 23 32 with value 32 6 with value 41
% 2.24/2.43 ; 20 with value 24 12 with value 33 4 with value 42
% 2.24/2.43 ; 8 with value 25 8 with value 34 2 with value 43
% 2.24/2.43 ; 34 with value 26 31 with value 35 2 with value 44
% 2.24/2.43 ; 20 with value 27 20 with value 36 4 with value 45
% 2.24/2.43 ; 36 with value 28 30 with value 37 2 with value 46
% 2.24/2.43 ; The agenda of rows to give has 968 entries:
% 2.24/2.43 ; 7 with value (4 6) 14 with value (4 26) 22 with value (4 45)
% 2.24/2.43 ; 14 with value (4 7) 60 with value (4 27) 13 with value (4 46)
% 2.24/2.43 ; 23 with value (4 8) 28 with value (4 28) 7 with value (4 47)
% 2.24/2.43 ; 24 with value (4 9) 14 with value (4 29) 2 with value (4 48)
% 2.24/2.43 ; 9 with value (4 10) 18 with value (4 30) 12 with value (4 49)
% 2.24/2.43 ; 19 with value (4 11) 26 with value (4 31) 6 with value (4 50)
% 2.24/2.43 ; 19 with value (4 12) 27 with value (4 32) 2 with value (4 51)
% 2.24/2.43 ; 10 with value (4 13) 29 with value (4 33) 8 with value (4 53)
% 2.24/2.43 ; 21 with value (4 14) 27 with value (4 34) 9 with value (4 56)
% 2.24/2.43 ; 25 with value (4 15) 16 with value (4 35) 2 with value (4 57)
% 2.24/2.43 ; 28 with value (4 16) 20 with value (4 36) 2 with value (4 58)
% 2.24/2.43 ; 40 with value (4 17) 2 with value (4 37) 2 with value (4 59)
% 2.24/2.43 ; 63 with value (4 18) 12 with value (4 38) 9 with value (4 61)
% 2.24/2.43 ; 38 with value (4 19) 10 with value (4 39) 4 with value (4 62)
% 2.24/2.43 ; 31 with value (4 20) 14 with value (4 40) 4 with value (4 65)
% 2.24/2.43 ; 40 with value (4 21) 14 with value (4 41) 4 with value (4 74)
% 2.24/2.43 ; 29 with value (4 22) 11 with value (4 42) 2 with value (4 88)
% 2.24/2.43 ; 14 with value (4 23) 13 with value (4 43) 4 with value (4 94)
% 2.24/2.43 ; 19 with value (4 24) 8 with value (4 44) 4 with value (4 105)
% 2.24/2.43 ; 14 with value (4 25)
% 2.24/2.43 Evaluation took:
% 2.24/2.43 1.961 seconds of real time
% 2.24/2.43 1.911693 seconds of user run time
% 2.24/2.43 0.049246 seconds of system run time
% 2.24/2.43 [Run times include 0.086 seconds GC run time.]
% 2.24/2.43 0 calls to %EVAL
% 2.24/2.43 0 page faults and
% 2.24/2.43 116,647,040 bytes consed.
% 2.24/2.43 :PROOF-FOUND
% 2.24/2.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T02:01:02
% 2.24/2.43 :PROOF-FOUND
% 2.24/2.43 *
%------------------------------------------------------------------------------