%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET022-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 05:05:59 EDT 2022
% Result : Unsatisfiable 2.32s 2.53s
% Output : Refutation 2.32s
% 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/sandbox2/benchmark/Axioms/SET003-0.ax',ordered_pair) ).
cnf(ordered_pair_predicate1,axiom,
( ~ ordered_pair_predicate(X)
| little_set(f2(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',ordered_pair_predicate1) ).
cnf(ordered_pair_predicate2,axiom,
( ~ ordered_pair_predicate(X)
| little_set(f3(X)) ),
file('/export/starexec/sandbox2/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/sandbox2/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_first,axiom,
( ~ little_set(X)
| ~ little_set(Y)
| first(ordered_pair(X,Y)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_first) ).
cnf(175,plain,
( ~ little_set(X)
| ~ little_set(Y)
| first(non_ordered_pair(singleton_set(X),non_ordered_pair(X,Y))) = X ),
inference('REWRITE',[status(thm)],[property_of_first,ordered_pair,theory(equality)]) ).
cnf(an_ordered_pair_predicate,hypothesis,
ordered_pair_predicate(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_ordered_pair_predicate) ).
cnf(prove_first_component_is_small,negated_conjecture,
~ little_set(first(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_first_component_is_small) ).
cnf(189,plain,
little_set(f2(a)),
inference('HYPERRESOLVE',[status(thm)],[ordered_pair_predicate1,an_ordered_pair_predicate]) ).
cnf(190,plain,
little_set(f3(a)),
inference('HYPERRESOLVE',[status(thm)],[ordered_pair_predicate2,an_ordered_pair_predicate]) ).
cnf(568,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,
first(a) = f2(a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[175,190,189]),568,theory(equality)]) ).
cnf(1182,plain,
$false,
inference('REWRITE',[status(thm)],[prove_first_component_is_small,189,1181,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET022-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11 % Command : run-snark %s %d
% 0.09/0.31 % Computer : n011.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 600
% 0.09/0.31 % DateTime : Sat Jul 9 21:14:41 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.44 *
% 0.15/0.44 *
% 0.15/0.44 #<PACKAGE "SNARK-USER">
% 0.15/0.44 *
% 0.15/0.44 SNARK-TPTP-OPTIONS
% 0.15/0.44 *
% 0.15/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.44 (USE-FACTORING :POS)
% 0.15/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.44 *
% 0.15/0.44 "."
% 0.15/0.44 *
% 0.15/0.44 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T21:14:41
% 0.15/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-09T21:14:41
% 2.32/2.53
% 2.32/2.53
% 2.32/2.53 #||
% 2.32/2.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.32/2.53 % SZS output start Refutation
% See solution above
% 2.32/2.53 ||#
% 2.32/2.53
% 2.32/2.53 ; Summary of computation:
% 2.32/2.53 ; 3430 formulas have been input or derived (from 166 formulas).
% 2.32/2.53 ; 1182 (34%) were retained. Of these,
% 2.32/2.53 ; 48 ( 4%) were simplified or subsumed later,
% 2.32/2.53 ; 1134 (96%) are still being kept.
% 2.32/2.53 ;
% 2.32/2.53 ; Run time in seconds excluding printing time:
% 2.32/2.53 ; 0.028 1% Read assertion file (1 call)
% 2.32/2.53 ; 0.006 0% Assert (149 calls)
% 2.32/2.53 ; 0.115 6% Process new row (2,771 calls)
% 2.32/2.53 ; 1.712 82% Resolution (330 calls)
% 2.32/2.53 ; 0.005 0% Paramodulation (165 calls)
% 2.32/2.53 ; 0.000 0% Factoring (13 calls)
% 2.32/2.53 ; 0.020 1% Condensing (1,905 calls)
% 2.32/2.53 ; 0.065 3% Forward subsumption (1,905 calls)
% 2.32/2.53 ; 0.018 1% Backward subsumption (929 calls)
% 2.32/2.53 ; 0.005 0% Clause clause subsumption (2,409 calls)
% 2.32/2.53 ; 0.069 3% Forward simplification (2,771 calls)
% 2.32/2.53 ; 0.002 0% Backward simplification (1,152 calls)
% 2.32/2.53 ; 0.005 0% Ordering (2,886 calls)
% 2.32/2.53 ; 0.000 0% Sortal reasoning (32 calls)
% 2.32/2.53 ; 0.000 0% Purity testing (1 call)
% 2.32/2.53 ; 0.036 2% Other
% 2.32/2.53 ; 2.086 Total
% 2.32/2.53 ; 2.088 Real time
% 2.32/2.53 ;
% 2.32/2.53 ; Term-hash-array has 3,006 terms in all.
% 2.32/2.53 ; Feature-vector-row-index has 923 entries (923 at peak, 929 added, 6 deleted).
% 2.32/2.53 ; Feature-vector-row-index has 5,532 nodes (5,543 at peak, 5,583 added, 51 deleted).
% 2.32/2.53 ; Retrieved 3,439 possibly forward subsuming rows in 1,905 calls.
% 2.32/2.53 ; Retrieved 293 possibly backward subsumed rows in 929 calls.
% 2.32/2.53 ; Path-index has 2,992 entries (2,996 at peak, 3,013 added, 21 deleted).
% 2.32/2.53 ; Path-index has 15,327 nodes (15,331 at peak, 15,349 added, 22 deleted).
% 2.32/2.53 ; Trie-index has 2,992 entries (2,996 at peak, 3,013 added, 21 deleted).
% 2.32/2.53 ; Trie-index has 18,854 nodes (18,863 at peak, 18,916 added, 62 deleted).
% 2.32/2.53 ; Retrieved 7,832 generalization terms in 12,081 calls.
% 2.32/2.53 ; Retrieved 225 instance terms in 222 calls.
% 2.32/2.53 ; Retrieved 3,591,347 unifiable terms in 36,509 calls.
% 2.32/2.53 ;
% 2.32/2.53 ; The agenda of backward simplifiable rows to process has 3 entries:
% 2.32/2.53 ; 3 with value 0
% 2.32/2.53 ; The agenda of rows to process has 460 entries:
% 2.32/2.53 ; 17 with value 20 10 with value 29 2 with value 38
% 2.32/2.53 ; 21 with value 21 20 with value 30 2 with value 39
% 2.32/2.53 ; 31 with value 22 40 with value 31 12 with value 40
% 2.32/2.53 ; 34 with value 23 32 with value 32 6 with value 41
% 2.32/2.53 ; 20 with value 24 12 with value 33 4 with value 42
% 2.32/2.53 ; 8 with value 25 8 with value 34 2 with value 43
% 2.32/2.53 ; 34 with value 26 31 with value 35 2 with value 44
% 2.32/2.53 ; 20 with value 27 20 with value 36 4 with value 45
% 2.32/2.53 ; 36 with value 28 30 with value 37 2 with value 46
% 2.32/2.53 ; The agenda of rows to give has 969 entries:
% 2.32/2.53 ; 6 with value (4 6) 14 with value (4 26) 22 with value (4 45)
% 2.32/2.53 ; 14 with value (4 7) 60 with value (4 27) 13 with value (4 46)
% 2.32/2.53 ; 23 with value (4 8) 28 with value (4 28) 7 with value (4 47)
% 2.32/2.53 ; 25 with value (4 9) 14 with value (4 29) 2 with value (4 48)
% 2.32/2.53 ; 9 with value (4 10) 18 with value (4 30) 12 with value (4 49)
% 2.32/2.53 ; 19 with value (4 11) 26 with value (4 31) 6 with value (4 50)
% 2.32/2.53 ; 19 with value (4 12) 27 with value (4 32) 2 with value (4 51)
% 2.32/2.53 ; 10 with value (4 13) 29 with value (4 33) 8 with value (4 53)
% 2.32/2.53 ; 21 with value (4 14) 27 with value (4 34) 9 with value (4 56)
% 2.32/2.53 ; 25 with value (4 15) 16 with value (4 35) 2 with value (4 57)
% 2.32/2.53 ; 28 with value (4 16) 20 with value (4 36) 2 with value (4 58)
% 2.32/2.53 ; 40 with value (4 17) 2 with value (4 37) 2 with value (4 59)
% 2.32/2.53 ; 63 with value (4 18) 12 with value (4 38) 9 with value (4 61)
% 2.32/2.53 ; 38 with value (4 19) 10 with value (4 39) 4 with value (4 62)
% 2.32/2.53 ; 32 with value (4 20) 14 with value (4 40) 4 with value (4 65)
% 2.32/2.53 ; 40 with value (4 21) 14 with value (4 41) 4 with value (4 74)
% 2.32/2.53 ; 29 with value (4 22) 11 with value (4 42) 2 with value (4 88)
% 2.32/2.53 ; 14 with value (4 23) 13 with value (4 43) 4 with value (4 94)
% 2.32/2.53 ; 19 with value (4 24) 8 with value (4 44) 4 with value (4 105)
% 2.32/2.53 ; 14 with value (4 25)
% 2.32/2.53 Evaluation took:
% 2.32/2.53 2.089 seconds of real time
% 2.32/2.53 2.025791 seconds of user run time
% 2.32/2.53 0.063117 seconds of system run time
% 2.32/2.53 [Run times include 0.09 seconds GC run time.]
% 2.32/2.53 0 calls to %EVAL
% 2.32/2.53 0 page faults and
% 2.32/2.53 116,118,208 bytes consed.
% 2.32/2.53 :PROOF-FOUND
% 2.32/2.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T21:14:43
% 2.32/2.53 :PROOF-FOUND
% 2.32/2.53 *
%------------------------------------------------------------------------------