%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET680+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:11:30 EDT 2022
% Result : Theorem 0.44s 0.61s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 33 ( 12 unt; 4 nHn; 32 RR)
% Number of literals : 80 ( 3 equ; 48 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 48 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,binary_relation_type)
| ~ member(X,domain_of(Y))
| member(ordered_pair(X,'SKOLEMAAAU1'(X,Y)),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(3,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,binary_relation_type)
| member(X,domain_of(Y))
| ~ ilf_type(Z,set_type)
| ~ member(ordered_pair(X,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(6,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,set_type)
| ~ ilf_type(V,relation_type(X,Y))
| ~ member(ordered_pair(Z,U),V)
| member(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
cnf(13,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ilf_type(Z,subset_type(cross_product(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
cnf(16,axiom,
( ~ ilf_type(X,set_type)
| empty(Y)
| ~ ilf_type(Y,set_type)
| ilf_type(X,member_type(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).
cnf(28,axiom,
( ~ ilf_type(X,set_type)
| ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).
cnf(50,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,subset_type(cross_product(X,Y)))
| relation_like(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
cnf(51,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| domain(X,Y,Z) = domain_of(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
cnf(55,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
cnf(57,negated_conjecture,
~ empty('SKOLEMAAAU13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_47) ).
cnf(58,negated_conjecture,
ilf_type('SKOLEMAAAU14',relation_type('SKOLEMAAAU12','SKOLEMAAAU13')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_47) ).
cnf(60,negated_conjecture,
( ~ member('SKOLEMAAAU15',domain('SKOLEMAAAU12','SKOLEMAAAU13','SKOLEMAAAU14'))
| ~ ilf_type(X,member_type('SKOLEMAAAU13'))
| ~ member(ordered_pair('SKOLEMAAAU15',X),'SKOLEMAAAU14') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_47) ).
cnf(62,negated_conjecture,
( member('SKOLEMAAAU15',domain('SKOLEMAAAU12','SKOLEMAAAU13','SKOLEMAAAU14'))
| member(ordered_pair('SKOLEMAAAU15','SKOLEMAAAU16'),'SKOLEMAAAU14') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_47) ).
cnf(63,plain,
( ~ ilf_type(X,binary_relation_type)
| ~ member(Y,domain_of(X))
| member(ordered_pair(Y,'SKOLEMAAAU1'(Y,X)),X) ),
inference('REWRITE',[status(thm)],[2,55]) ).
cnf(64,plain,
( ~ ilf_type(X,binary_relation_type)
| member(Y,domain_of(X))
| ~ member(ordered_pair(Y,Z),X) ),
inference('REWRITE',[status(thm)],[3,55]) ).
cnf(67,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ~ member(ordered_pair(U,V),X)
| member(V,Z) ),
inference('REWRITE',[status(thm)],[6,55]) ).
cnf(71,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[13,55]) ).
cnf(74,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[16,55]) ).
cnf(80,plain,
( ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
inference('REWRITE',[status(thm)],[28,55]) ).
cnf(95,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| relation_like(X) ),
inference('REWRITE',[status(thm)],[50,55]) ).
cnf(96,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| domain(Y,Z,X) = domain_of(X) ),
inference('REWRITE',[status(thm)],[51,55]) ).
cnf(131,plain,
ilf_type('SKOLEMAAAU14',subset_type(cross_product('SKOLEMAAAU12','SKOLEMAAAU13'))),
inference('HYPERRESOLVE',[status(thm)],[71,58]) ).
cnf(133,plain,
domain('SKOLEMAAAU12','SKOLEMAAAU13','SKOLEMAAAU14') = domain_of('SKOLEMAAAU14'),
inference('HYPERRESOLVE',[status(thm)],[96,58]) ).
cnf(134,plain,
( ~ member('SKOLEMAAAU15',domain_of('SKOLEMAAAU14'))
| ~ ilf_type(X,member_type('SKOLEMAAAU13'))
| ~ member(ordered_pair('SKOLEMAAAU15',X),'SKOLEMAAAU14') ),
inference('REWRITE',[status(thm)],[60,133,theory(equality)]) ).
cnf(136,plain,
( member('SKOLEMAAAU15',domain_of('SKOLEMAAAU14'))
| member(ordered_pair('SKOLEMAAAU15','SKOLEMAAAU16'),'SKOLEMAAAU14') ),
inference('REWRITE',[status(thm)],[62,133,theory(equality)]) ).
cnf(216,plain,
relation_like('SKOLEMAAAU14'),
inference('HYPERRESOLVE',[status(thm)],[95,131]) ).
cnf(218,plain,
ilf_type('SKOLEMAAAU14',binary_relation_type),
inference('HYPERRESOLVE',[status(thm)],[80,216]) ).
cnf(225,plain,
member('SKOLEMAAAU15',domain_of('SKOLEMAAAU14')),
inference('HYPERRESOLVE',[status(thm)],[64,218,136]) ).
cnf(226,plain,
( ~ ilf_type(X,member_type('SKOLEMAAAU13'))
| ~ member(ordered_pair('SKOLEMAAAU15',X),'SKOLEMAAAU14') ),
inference('REWRITE',[status(thm)],[134,225]) ).
cnf(243,plain,
member(ordered_pair('SKOLEMAAAU15','SKOLEMAAAU1'('SKOLEMAAAU15','SKOLEMAAAU14')),'SKOLEMAAAU14'),
inference('HYPERRESOLVE',[status(thm)],[63,225,218]) ).
cnf(491,plain,
member('SKOLEMAAAU1'('SKOLEMAAAU15','SKOLEMAAAU14'),'SKOLEMAAAU13'),
inference('HYPERRESOLVE',[status(thm)],[67,243,58]) ).
cnf(493,plain,
~ ilf_type('SKOLEMAAAU1'('SKOLEMAAAU15','SKOLEMAAAU14'),member_type('SKOLEMAAAU13')),
inference('UR-RESOLVE',[status(thm)],[226,243]) ).
cnf(510,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[74,491,57]),493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET680+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 23:05:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-09T23:05:07
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-09T23:05:07
% 0.44/0.61
% 0.44/0.61
% 0.44/0.61 #||
% 0.44/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.61 % SZS output start Refutation
% See solution above
% 0.45/0.62 ||#
% 0.45/0.62
% 0.45/0.62 ; Summary of computation:
% 0.45/0.62 ; 964 formulas have been input or derived (from 132 formulas).
% 0.45/0.62 ; 510 (53%) were retained. Of these,
% 0.45/0.62 ; 82 (16%) were simplified or subsumed later,
% 0.45/0.62 ; 428 (84%) are still being kept.
% 0.45/0.62 ;
% 0.45/0.62 ; Run time in seconds excluding printing time:
% 0.45/0.62 ; 0.010 7% Read assertion file (1 call)
% 0.45/0.62 ; 0.003 2% Assert (32 calls)
% 0.45/0.62 ; 0.047 31% Process new row (832 calls)
% 0.45/0.62 ; 0.021 14% Resolution (262 calls)
% 0.45/0.62 ; 0.001 1% Paramodulation (131 calls)
% 0.45/0.62 ; 0.000 0% Factoring (12 calls)
% 0.45/0.62 ; 0.004 3% Condensing (371 calls)
% 0.45/0.62 ; 0.014 9% Forward subsumption (371 calls)
% 0.45/0.62 ; 0.007 5% Backward subsumption (263 calls)
% 0.45/0.62 ; 0.002 1% Clause clause subsumption (385 calls)
% 0.45/0.62 ; 0.011 7% Forward simplification (830 calls)
% 0.45/0.62 ; 0.004 3% Backward simplification (508 calls)
% 0.45/0.62 ; 0.000 0% Ordering (629 calls)
% 0.45/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.45/0.62 ; 0.000 0% Purity testing (1 call)
% 0.45/0.62 ; 0.028 18% Other
% 0.45/0.62 ; 0.152 Total
% 0.45/0.62 ; 0.166 Real time
% 0.45/0.62 ;
% 0.45/0.62 ; Term-hash-array has 1,251 terms in all.
% 0.45/0.62 ; Feature-vector-row-index has 189 entries (193 at peak, 263 added, 74 deleted).
% 0.45/0.62 ; Feature-vector-row-index has 1,119 nodes (1,147 at peak, 1,598 added, 479 deleted).
% 0.45/0.62 ; Retrieved 449 possibly forward subsuming rows in 371 calls.
% 0.45/0.62 ; Retrieved 92 possibly backward subsumed rows in 263 calls.
% 0.45/0.62 ; Path-index has 1,184 entries (1,184 at peak, 1,346 added, 162 deleted).
% 0.45/0.62 ; Path-index has 5,522 nodes (5,522 at peak, 5,730 added, 208 deleted).
% 0.45/0.62 ; Trie-index has 1,184 entries (1,184 at peak, 1,346 added, 162 deleted).
% 0.45/0.62 ; Trie-index has 5,704 nodes (5,704 at peak, 6,137 added, 433 deleted).
% 0.45/0.62 ; Retrieved 520 generalization terms in 1,543 calls.
% 0.45/0.62 ; Retrieved 286 instance terms in 244 calls.
% 0.45/0.62 ; Retrieved 14,116 unifiable terms in 1,677 calls.
% 0.45/0.62 ;
% 0.45/0.62 ; The agenda of rows to process has 1 entry:
% 0.45/0.62 ; 1 with value 18
% 0.45/0.62 ; The agenda of rows to give has 302 entries:
% 0.45/0.62 ; 2 with value (4 13) 5 with value (4 28) 6 with value (4 43)
% 0.45/0.62 ; 4 with value (4 14) 1 with value (4 29) 2 with value (4 44)
% 0.45/0.62 ; 16 with value (4 15) 8 with value (4 30) 6 with value (4 46)
% 0.45/0.62 ; 21 with value (4 16) 4 with value (4 31) 2 with value (4 47)
% 0.45/0.62 ; 23 with value (4 17) 4 with value (4 32) 1 with value (4 48)
% 0.45/0.62 ; 19 with value (4 18) 2 with value (4 34) 4 with value (4 49)
% 0.45/0.62 ; 33 with value (4 19) 7 with value (4 35) 7 with value (4 51)
% 0.45/0.62 ; 24 with value (4 20) 4 with value (4 36) 2 with value (4 52)
% 0.45/0.62 ; 11 with value (4 21) 10 with value (4 37) 2 with value (4 54)
% 0.45/0.62 ; 15 with value (4 22) 2 with value (4 38) 1 with value (4 55)
% 0.45/0.62 ; 15 with value (4 23) 3 with value (4 39) 4 with value (4 60)
% 0.45/0.62 ; 7 with value (4 24) 1 with value (4 40) 2 with value (4 61)
% 0.45/0.62 ; 2 with value (4 25) 3 with value (4 41) 4 with value (4 65)
% 0.45/0.62 ; 5 with value (4 26) 2 with value (4 42) 2 with value (4 70)
% 0.45/0.62 ; 4 with value (4 27)
% 0.45/0.62 Evaluation took:
% 0.45/0.62 0.166 seconds of real time
% 0.45/0.62 0.152251 seconds of user run time
% 0.45/0.62 0.014296 seconds of system run time
% 0.45/0.62 [Run times include 0.011 seconds GC run time.]
% 0.45/0.62 0 calls to %EVAL
% 0.45/0.62 0 page faults and
% 0.45/0.62 12,722,608 bytes consed.
% 0.45/0.62 :PROOF-FOUND
% 0.45/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:05:07
% 0.45/0.62 :PROOF-FOUND
% 0.45/0.62 *
%------------------------------------------------------------------------------