TSTP Solution File: SET005-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:05:33 EDT 2022
% Result : Unsatisfiable 4.58s 4.74s
% Output : Refutation 4.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 11 unt; 8 nHn; 21 RR)
% Number of literals : 43 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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(intersection_axiom1,axiom,
( member(h(X,Y,Z),Z)
| intersection(X,Y,Z)
| member(h(X,Y,Z),X) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom3) ).
cnf(a_intersection_b,axiom,
intersection(a,b,aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_b) ).
cnf(b_intersection_c,axiom,
intersection(b,c,bIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_intersection_c) ).
cnf(a_intersection_bIc,axiom,
intersection(a,bIc,aIbIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bIc) ).
cnf(prove_aIb_intersection_c_is_aIbIc,negated_conjecture,
~ intersection(aIb,c,aIbIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aIb_intersection_c_is_aIbIc) ).
cnf(18,plain,
( member(h(aIb,c,aIbIc),aIbIc)
| member(h(aIb,c,aIbIc),aIb) ),
inference('HYPERRESOLVE',[status(thm)],[prove_aIb_intersection_c_is_aIbIc,intersection_axiom1]) ).
cnf(20,plain,
( member(h(aIb,c,aIbIc),aIbIc)
| member(h(aIb,c,aIbIc),c) ),
inference('HYPERRESOLVE',[status(thm)],[prove_aIb_intersection_c_is_aIbIc,intersection_axiom2]) ).
cnf(22,plain,
( member(h(aIb,c,aIbIc),aIb)
| member(h(aIb,c,aIbIc),bIc) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set2,18,a_intersection_bIc]) ).
cnf(23,plain,
( member(h(aIb,c,aIbIc),aIb)
| member(h(aIb,c,aIbIc),a) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set1,18,a_intersection_bIc]) ).
cnf(41,plain,
( member(h(aIb,c,aIbIc),aIb)
| member(h(aIb,c,aIbIc),b) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set1,22,b_intersection_c]) ).
cnf(54,plain,
member(h(aIb,c,aIbIc),a),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set1,23,a_intersection_b]) ).
cnf(127,plain,
member(h(aIb,c,aIbIc),aIb),
inference('HYPERRESOLVE',[status(thm)],[member_of_both_is_member_of_intersection,41,a_intersection_b,54]) ).
cnf(128,plain,
member(h(aIb,c,aIbIc),b),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set2,127,a_intersection_b]) ).
cnf(148,plain,
( member(h(aIb,c,aIbIc),aIbIc)
| member(h(aIb,c,aIbIc),bIc) ),
inference('HYPERRESOLVE',[status(thm)],[member_of_both_is_member_of_intersection,128,b_intersection_c,20]) ).
cnf(2879,plain,
member(h(aIb,c,aIbIc),aIbIc),
inference('HYPERRESOLVE',[status(thm)],[member_of_both_is_member_of_intersection,148,a_intersection_bIc,54]) ).
cnf(2880,plain,
member(h(aIb,c,aIbIc),bIc),
inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set2,2879,a_intersection_bIc]) ).
cnf(2881,plain,
~ member(h(aIb,c,aIbIc),c),
inference('UR-RESOLVE',[status(thm)],[intersection_axiom3,2879,127,prove_aIb_intersection_c_is_aIbIc]) ).
cnf(3169,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set2,2880,b_intersection_c]),2881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.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 : Sun Jul 10 12:40:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-10T12:40:58
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T12:40:58
% 4.58/4.74
% 4.58/4.74
% 4.58/4.74 #||
% 4.58/4.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.58/4.74 % SZS output start Refutation
% See solution above
% 4.58/4.74 ||#
% 4.58/4.74
% 4.58/4.74 ; Summary of computation:
% 4.58/4.74 ; 15942 formulas have been input or derived (from 194 formulas).
% 4.58/4.74 ; 3169 (20%) were retained. Of these,
% 4.58/4.74 ; 1577 (50%) were simplified or subsumed later,
% 4.58/4.74 ; 1592 (50%) are still being kept.
% 4.58/4.74 ;
% 4.58/4.74 ; Run time in seconds excluding printing time:
% 4.58/4.74 ; 0.004 0% Read assertion file (1 call)
% 4.58/4.74 ; 0.000 0% Assert (16 calls)
% 4.58/4.74 ; 0.271 6% Process new row (14,481 calls)
% 4.58/4.74 ; 0.380 9% Resolution (386 calls)
% 4.58/4.74 ; 0.002 0% Paramodulation (193 calls)
% 4.58/4.74 ; 0.001 0% Factoring (147 calls)
% 4.58/4.74 ; 0.086 2% Condensing (11,831 calls)
% 4.58/4.74 ; 2.404 56% Forward subsumption (11,831 calls)
% 4.58/4.74 ; 0.157 4% Backward subsumption (3,126 calls)
% 4.58/4.74 ; 0.430 10% Clause clause subsumption (184,307 calls)
% 4.58/4.74 ; 0.300 7% Forward simplification (12,864 calls)
% 4.58/4.74 ; 0.053 1% Backward simplification (3,169 calls)
% 4.58/4.74 ; 0.101 2% Ordering (49,177 calls)
% 4.58/4.74 ; 0.000 0% Sortal reasoning (32 calls)
% 4.58/4.74 ; 0.000 0% Purity testing (1 call)
% 4.58/4.74 ; 0.084 2% Other
% 4.58/4.74 ; 4.273 Total
% 4.58/4.74 ; 4.275 Real time
% 4.58/4.74 ;
% 4.58/4.74 ; Term-hash-array has 717 terms in all.
% 4.58/4.74 ; Feature-vector-row-index has 1,549 entries (2,283 at peak, 3,126 added, 1,577 deleted).
% 4.58/4.74 ; Feature-vector-row-index has 3,271 nodes (6,313 at peak, 9,018 added, 5,747 deleted).
% 4.58/4.74 ; Retrieved 490,823 possibly forward subsuming rows in 11,831 calls.
% 4.58/4.74 ; Retrieved 24,331 possibly backward subsumed rows in 3,126 calls.
% 4.58/4.74 ; Path-index has 599 entries (646 at peak, 831 added, 232 deleted).
% 4.58/4.74 ; Path-index has 138 nodes (138 at peak, 186 added, 48 deleted).
% 4.58/4.74 ; Trie-index has 599 entries (646 at peak, 831 added, 232 deleted).
% 4.58/4.74 ; Trie-index has 614 nodes (640 at peak, 905 added, 291 deleted).
% 4.58/4.74 ; Retrieved 10,381 generalization terms in 55,159 calls.
% 4.58/4.74 ; Retrieved 53 instance terms in 42 calls.
% 4.58/4.74 ; Retrieved 95,210 unifiable terms in 5,402 calls.
% 4.58/4.74 ;
% 4.58/4.74 ; The agenda of rows to process has 153 entries:
% 4.58/4.74 ; 6 with value 17 20 with value 32 20 with value 40
% 4.58/4.74 ; 6 with value 24 48 with value 33 24 with value 41
% 4.58/4.74 ; 29 with value 25
% 4.58/4.74 ; The agenda of rows to give has 1495 entries:
% 4.58/4.74 ; 5 with value (4 16) 62 with value (4 30) 62 with value (4 39)
% 4.58/4.74 ; 20 with value (4 22) 58 with value (4 31) 24 with value (4 40)
% 4.58/4.74 ; 44 with value (4 23) 192 with value (4 32) 2 with value (4 43)
% 4.58/4.74 ; 56 with value (4 24) 64 with value (4 33) 14 with value (4 44)
% 4.58/4.74 ; 16 with value (4 25) 27 with value (4 36) 76 with value (4 45)
% 4.58/4.74 ; 4 with value (4 27) 251 with value (4 37) 112 with value (4 46)
% 4.58/4.74 ; 43 with value (4 28) 234 with value (4 38) 40 with value (4 47)
% 4.58/4.74 ; 89 with value (4 29)
% 4.58/4.74 Evaluation took:
% 4.58/4.74 4.276 seconds of real time
% 4.58/4.74 3.883903 seconds of user run time
% 4.58/4.74 0.392137 seconds of system run time
% 4.58/4.74 [Run times include 0.196 seconds GC run time.]
% 4.58/4.74 0 calls to %EVAL
% 4.58/4.74 0 page faults and
% 4.58/4.74 509,501,144 bytes consed.
% 4.58/4.74 :PROOF-FOUND
% 4.58/4.74 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T12:41:02
% 4.58/4.74 :PROOF-FOUND
% 4.58/4.74 *
%------------------------------------------------------------------------------