%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET011-1 : 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 05:05:38 EDT 2022
% Result : Unsatisfiable 0.47s 0.63s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 8 unt; 7 nHn; 16 RR)
% Number of literals : 36 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection_axiom1,axiom,
( member(h(X,Y,Z),Z)
| intersection(X,Y,Z)
| member(h(X,Y,Z),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).
cnf(intersection_axiom2,axiom,
( member(h(X,Y,Z),Z)
| intersection(X,Y,Z)
| member(h(X,Y,Z),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).
cnf(intersection_axiom3,axiom,
( ~ member(h(X,Y,Z),Z)
| ~ member(h(X,Y,Z),Y)
| ~ member(h(X,Y,Z),X)
| intersection(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom3) ).
cnf(member_of_difference,axiom,
( ~ difference(X,Y,Z)
| ~ member(U,Z)
| member(U,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference) ).
cnf(not_member_of_difference,axiom,
( ~ member(X,Y)
| ~ member(X,Z)
| ~ difference(U,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
cnf(member_of_difference_or_set2,axiom,
( ~ member(X,Y)
| ~ difference(Y,Z,U)
| member(X,U)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference_or_set2) ).
cnf(a_minus_b,hypothesis,
difference(a,b,aDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_minus_b) ).
cnf(a_minus_aDb,hypothesis,
difference(a,aDb,aD_aDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_minus_aDb) ).
cnf(prove_a_intersection_b_is_aD_aDb,negated_conjecture,
~ intersection(a,b,aD_aDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_intersection_b_is_aD_aDb) ).
cnf(23,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),a) ),
inference('HYPERRESOLVE',[status(thm)],[prove_a_intersection_b_is_aD_aDb,intersection_axiom1]) ).
cnf(25,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),b) ),
inference('HYPERRESOLVE',[status(thm)],[prove_a_intersection_b_is_aD_aDb,intersection_axiom2]) ).
cnf(28,plain,
member(h(a,b,aD_aDb),a),
inference('HYPERRESOLVE',[status(thm)],[member_of_difference,23,a_minus_aDb]) ).
cnf(32,plain,
( member(h(a,b,aD_aDb),aDb)
| member(h(a,b,aD_aDb),b) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_difference_or_set2,28,a_minus_b]) ).
cnf(33,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),aDb) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_difference_or_set2,28,a_minus_aDb]) ).
cnf(232,plain,
member(h(a,b,aD_aDb),aD_aDb),
inference('HYPERRESOLVE',[status(thm)],[not_member_of_difference,33,25,a_minus_b]) ).
cnf(240,plain,
~ member(h(a,b,aD_aDb),b),
inference('UR-RESOLVE',[status(thm)],[intersection_axiom3,232,28,prove_a_intersection_b_is_aD_aDb]) ).
cnf(241,plain,
member(h(a,b,aD_aDb),aDb),
inference('REWRITE',[status(thm)],[32,240]) ).
cnf(242,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[not_member_of_difference,232,a_minus_aDb]),241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n010.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 : Sat Jul 9 23:51:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:51:01
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-09T23:51:01
% 0.47/0.63
% 0.47/0.63
% 0.47/0.63 #||
% 0.47/0.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.63 % SZS output start Refutation
% See solution above
% 0.47/0.63 ||#
% 0.47/0.63
% 0.47/0.63 ; Summary of computation:
% 0.47/0.63 ; 740 formulas have been input or derived (from 42 formulas).
% 0.47/0.63 ; 242 (33%) were retained. Of these,
% 0.47/0.63 ; 88 (36%) were simplified or subsumed later,
% 0.47/0.63 ; 154 (64%) are still being kept.
% 0.47/0.63 ;
% 0.47/0.63 ; Run time in seconds excluding printing time:
% 0.47/0.63 ; 0.006 4% Read assertion file (1 call)
% 0.47/0.63 ; 0.001 1% Assert (21 calls)
% 0.47/0.63 ; 0.024 15% Process new row (515 calls)
% 0.47/0.63 ; 0.020 13% Resolution (82 calls)
% 0.47/0.63 ; 0.000 0% Paramodulation (41 calls)
% 0.47/0.63 ; 0.001 1% Factoring (18 calls)
% 0.47/0.63 ; 0.004 3% Condensing (351 calls)
% 0.47/0.63 ; 0.041 26% Forward subsumption (351 calls)
% 0.47/0.63 ; 0.008 5% Backward subsumption (223 calls)
% 0.47/0.63 ; 0.004 3% Clause clause subsumption (1,492 calls)
% 0.47/0.63 ; 0.007 4% Forward simplification (410 calls)
% 0.47/0.63 ; 0.003 2% Backward simplification (242 calls)
% 0.47/0.63 ; 0.010 6% Ordering (1,879 calls)
% 0.47/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.63 ; 0.000 0% Purity testing (1 call)
% 0.47/0.63 ; 0.027 17% Other
% 0.47/0.63 ; 0.156 Total
% 0.47/0.63 ; 0.159 Real time
% 0.47/0.63 ;
% 0.47/0.63 ; Term-hash-array has 267 terms in all.
% 0.47/0.63 ; Feature-vector-row-index has 135 entries (220 at peak, 223 added, 88 deleted).
% 0.47/0.63 ; Feature-vector-row-index has 476 nodes (940 at peak, 954 added, 478 deleted).
% 0.47/0.63 ; Retrieved 1,902 possibly forward subsuming rows in 351 calls.
% 0.47/0.63 ; Retrieved 211 possibly backward subsumed rows in 223 calls.
% 0.47/0.63 ; Path-index has 207 entries (267 at peak, 272 added, 65 deleted).
% 0.47/0.63 ; Path-index has 129 nodes (141 at peak, 141 added, 12 deleted).
% 0.47/0.63 ; Trie-index has 207 entries (267 at peak, 272 added, 65 deleted).
% 0.47/0.63 ; Trie-index has 204 nodes (298 at peak, 299 added, 95 deleted).
% 0.47/0.63 ; Retrieved 49 generalization terms in 1,193 calls.
% 0.47/0.63 ; Retrieved 29 instance terms in 18 calls.
% 0.47/0.63 ; Retrieved 6,731 unifiable terms in 698 calls.
% 0.47/0.63 ;
% 0.47/0.63 ; The agenda of rows to process has 62 entries:
% 0.47/0.63 ; 1 with value 13 19 with value 21 20 with value 29
% 0.47/0.63 ; 1 with value 17 1 with value 24 4 with value 36
% 0.47/0.63 ; 1 with value 18 1 with value 25 5 with value 37
% 0.47/0.63 ; 3 with value 20 6 with value 28
% 0.47/0.63 ; The agenda of rows to give has 120 entries:
% 0.47/0.63 ; 3 with value (4 10) 2 with value (4 21) 1 with value (4 34)
% 0.47/0.63 ; 1 with value (4 11) 11 with value (4 26) 28 with value (4 35)
% 0.47/0.63 ; 1 with value (4 12) 22 with value (4 27) 13 with value (4 36)
% 0.47/0.63 ; 4 with value (4 13) 10 with value (4 28) 5 with value (4 42)
% 0.47/0.63 ; 6 with value (4 19) 2 with value (4 29) 3 with value (4 43)
% 0.47/0.63 ; 8 with value (4 20)
% 0.47/0.63 Evaluation took:
% 0.47/0.63 0.159 seconds of real time
% 0.47/0.63 0.138808 seconds of user run time
% 0.47/0.63 0.01996 seconds of system run time
% 0.47/0.63 0 calls to %EVAL
% 0.47/0.63 0 page faults and
% 0.47/0.63 10,278,664 bytes consed.
% 0.47/0.63 :PROOF-FOUND
% 0.47/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:51:01
% 0.47/0.63 :PROOF-FOUND
% 0.47/0.63 *
%------------------------------------------------------------------------------