%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 05:05:34 EDT 2022
% Result : Unsatisfiable 113.01s 113.17s
% Output : Refutation 113.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 31 ( 13 unt; 11 nHn; 30 RR)
% Number of literals : 65 ( 0 equ; 21 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 : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(member_of_union_is_member_of_one_set,axiom,
( ~ union(X,Y,Z)
| ~ member(U,Z)
| member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_union_is_member_of_one_set) ).
cnf(member_of_set1_is_member_of_union,axiom,
( ~ union(X,Y,Z)
| ~ member(U,X)
| member(U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).
cnf(member_of_set2_is_member_of_union,axiom,
( ~ union(X,Y,Z)
| ~ member(U,Y)
| member(U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_set2_is_member_of_union) ).
cnf(union_axiom1,axiom,
( union(X,Y,Z)
| member(g(X,Y,Z),X)
| member(g(X,Y,Z),Y)
| member(g(X,Y,Z),Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',union_axiom1) ).
cnf(union_axiom2,axiom,
( ~ member(g(X,Y,Z),X)
| ~ member(g(X,Y,Z),Z)
| union(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',union_axiom2) ).
cnf(union_axiom3,axiom,
( ~ member(g(X,Y,Z),Y)
| ~ member(g(X,Y,Z),Z)
| union(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',union_axiom3) ).
cnf(member_of_intersection_is_member_of_set1,axiom,
( ~ intersection(X,Y,Z)
| ~ member(U,Z)
| member(U,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set1) ).
cnf(member_of_intersection_is_member_of_set2,axiom,
( ~ intersection(X,Y,Z)
| ~ member(U,Z)
| member(U,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set2) ).
cnf(member_of_both_is_member_of_intersection,axiom,
( ~ intersection(X,Y,Z)
| ~ member(U,Y)
| ~ member(U,X)
| member(U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_both_is_member_of_intersection) ).
cnf(b_union_c,axiom,
union(b,c,bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_union_c) ).
cnf(a_intersection_b,axiom,
intersection(a,b,aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_b) ).
cnf(a_intersection_c,axiom,
intersection(a,c,aIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_c) ).
cnf(a_intersection_bUc,axiom,
intersection(a,bUc,aI_bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bUc) ).
cnf(prove_aIb_union_aIc_is_aI_bUc,negated_conjecture,
~ union(aIb,aIc,aI_bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aIb_union_aIc_is_aI_bUc) ).
cnf(27,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference('HYPERRESOLVE',[status(thm)],[prove_aIb_union_aIc_is_aI_bUc,union_axiom1]) ).
cnf(7268,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),c) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set2,27,a_intersection_c]) ).
cnf(7269,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),a) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set1,27,a_intersection_c]) ).
cnf(11617,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_set2_is_member_of_union,7268,b_union_c]) ).
cnf(11637,plain,
( member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),a) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set1,7269,a_intersection_b]) ).
cnf(11638,plain,
member(g(aIb,aIc,aI_bUc),a),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set1,11637,a_intersection_bUc]) ).
cnf(16701,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_both_is_member_of_intersection,11617,a_intersection_bUc,11638]) ).
cnf(16702,plain,
( member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),b) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set2,16701,a_intersection_b]) ).
cnf(16726,plain,
( member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_set1_is_member_of_union,16702,b_union_c]) ).
cnf(16754,plain,
member(g(aIb,aIc,aI_bUc),aI_bUc),
inference('HYPERRESOLVE',[status(thm)],[member_of_both_is_member_of_intersection,16726,a_intersection_bUc,11638]) ).
cnf(16755,plain,
member(g(aIb,aIc,aI_bUc),bUc),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set2,16754,a_intersection_bUc]) ).
cnf(16756,plain,
~ member(g(aIb,aIc,aI_bUc),aIc),
inference('UR-RESOLVE',[status(thm)],[union_axiom3,16754,prove_aIb_union_aIc_is_aI_bUc]) ).
cnf(16757,plain,
~ member(g(aIb,aIc,aI_bUc),aIb),
inference('UR-RESOLVE',[status(thm)],[union_axiom2,16754,prove_aIb_union_aIc_is_aI_bUc]) ).
cnf(16784,plain,
( member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),c) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_union_is_member_of_one_set,16755,b_union_c]) ).
cnf(16838,plain,
~ member(g(aIb,aIc,aI_bUc),c),
inference('UR-RESOLVE',[status(thm)],[member_of_both_is_member_of_intersection,16756,a_intersection_c,11638]) ).
cnf(16839,plain,
member(g(aIb,aIc,aI_bUc),b),
inference('REWRITE',[status(thm)],[16784,16838]) ).
cnf(17855,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[member_of_both_is_member_of_intersection,16757,a_intersection_b,11638]),16839]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 00:33:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T00:33:45
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-10T00:33:45
% 113.01/113.17
% 113.01/113.17
% 113.01/113.17 #||
% 113.01/113.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.01/113.17 % SZS output start Refutation
% See solution above
% 113.01/113.18 ||#
% 113.01/113.18
% 113.01/113.18 ; Summary of computation:
% 113.01/113.18 ; 206815 formulas have been input or derived (from 675 formulas).
% 113.01/113.18 ; 17855 ( 9%) were retained. Of these,
% 113.01/113.18 ; 7492 (42%) were simplified or subsumed later,
% 113.01/113.18 ; 10363 (58%) are still being kept.
% 113.01/113.18 ;
% 113.01/113.18 ; Run time in seconds excluding printing time:
% 113.01/113.18 ; 0.006 0% Read assertion file (1 call)
% 113.01/113.18 ; 0.001 0% Assert (23 calls)
% 113.01/113.18 ; 2.089 2% Process new row (193,905 calls)
% 113.01/113.18 ; 4.435 4% Resolution (1,348 calls)
% 113.01/113.18 ; 0.007 0% Paramodulation (674 calls)
% 113.01/113.18 ; 0.003 0% Factoring (606 calls)
% 113.01/113.18 ; 1.229 1% Condensing (180,792 calls)
% 113.01/113.18 ; 84.460 75% Forward subsumption (180,792 calls)
% 113.01/113.18 ; 3.039 3% Backward subsumption (17,742 calls)
% 113.01/113.18 ; 11.565 10% Clause clause subsumption (5,132,108 calls)
% 113.01/113.18 ; 4.410 4% Forward simplification (191,599 calls)
% 113.01/113.18 ; 0.081 0% Backward simplification (17,855 calls)
% 113.01/113.18 ; 0.554 0% Ordering (331,793 calls)
% 113.01/113.18 ; 0.001 0% Sortal reasoning (32 calls)
% 113.01/113.18 ; 0.000 0% Purity testing (1 call)
% 113.01/113.18 ; 0.821 1% Other
% 113.01/113.18 ; 112.701 Total
% 113.01/113.18 ; 112.705 Real time
% 113.01/113.18 ;
% 113.01/113.18 ; Term-hash-array has 1,835 terms in all.
% 113.01/113.18 ; Feature-vector-row-index has 10,250 entries (13,529 at peak, 17,742 added, 7,492 deleted).
% 113.01/113.18 ; Feature-vector-row-index has 20,340 nodes (25,467 at peak, 38,175 added, 17,835 deleted).
% 113.01/113.18 ; Retrieved 23,044,729 possibly forward subsuming rows in 180,792 calls.
% 113.01/113.18 ; Retrieved 395,082 possibly backward subsumed rows in 17,742 calls.
% 113.01/113.18 ; Path-index has 1,710 entries (1,710 at peak, 1,958 added, 248 deleted).
% 113.01/113.18 ; Path-index has 249 nodes (249 at peak, 320 added, 71 deleted).
% 113.01/113.18 ; Trie-index has 1,710 entries (1,710 at peak, 1,958 added, 248 deleted).
% 113.01/113.18 ; Trie-index has 1,399 nodes (1,399 at peak, 1,702 added, 303 deleted).
% 113.01/113.18 ; Retrieved 363,794 generalization terms in 768,861 calls.
% 113.01/113.18 ; Retrieved 129 instance terms in 112 calls.
% 113.01/113.18 ; Retrieved 656,787 unifiable terms in 19,844 calls.
% 113.01/113.18 ;
% 113.01/113.18 ; The agenda of rows to give has 9959 entries:
% 113.01/113.18 ; 3 with value (4 14) 163 with value (4 31) 216 with value (4 46)
% 113.01/113.18 ; 29 with value (4 15) 335 with value (4 32) 126 with value (4 47)
% 113.01/113.18 ; 1 with value (4 17) 366 with value (4 33) 337 with value (4 48)
% 113.01/113.18 ; 9 with value (4 18) 217 with value (4 34) 505 with value (4 49)
% 113.01/113.18 ; 16 with value (4 19) 207 with value (4 35) 381 with value (4 50)
% 113.01/113.18 ; 2 with value (4 20) 118 with value (4 36) 114 with value (4 51)
% 113.01/113.18 ; 8 with value (4 21) 435 with value (4 37) 124 with value (4 52)
% 113.01/113.18 ; 8 with value (4 22) 719 with value (4 38) 51 with value (4 53)
% 113.01/113.18 ; 8 with value (4 23) 635 with value (4 39) 36 with value (4 54)
% 113.01/113.18 ; 2 with value (4 24) 762 with value (4 40) 50 with value (4 55)
% 113.01/113.18 ; 5 with value (4 25) 959 with value (4 41) 89 with value (4 56)
% 113.01/113.18 ; 2 with value (4 26) 954 with value (4 42) 82 with value (4 57)
% 113.01/113.18 ; 37 with value (4 27) 644 with value (4 43) 54 with value (4 58)
% 113.01/113.18 ; 128 with value (4 28) 487 with value (4 44) 24 with value (4 59)
% 113.01/113.18 ; 144 with value (4 29) 190 with value (4 45) 16 with value (4 60)
% 113.01/113.18 ; 161 with value (4 30)
% 113.01/113.18 Evaluation took:
% 113.01/113.18 112.706 seconds of real time
% 113.01/113.18 104.85949 seconds of user run time
% 113.01/113.18 7.852693 seconds of system run time
% 113.01/113.18 [Run times include 7.007 seconds GC run time.]
% 113.01/113.18 0 calls to %EVAL
% 113.01/113.18 0 page faults and
% 113.01/113.18 15,457,201,664 bytes consed.
% 113.01/113.18 :PROOF-FOUND
% 113.01/113.18 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T00:35:37
% 113.01/113.18 :PROOF-FOUND
% 113.01/113.18 *
%------------------------------------------------------------------------------