TSTP Solution File: SET863-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET863-2 : TPTP v8.1.0. Released v3.2.0.
% 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 05:12:59 EDT 2022
% Result : Unsatisfiable 0.48s 0.71s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 30 ( 16 unt; 9 nHn; 24 RR)
% Number of literals : 59 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X,Y,Z)
| ~ c_lessequals(Y,U,tc_set(Z))
| c_in(X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X,Y,Z),X,Z)
| c_lessequals(X,Y,tc_set(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X,Y,Z),Y,Z)
| c_lessequals(X,Y,tc_set(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Zorn_Ochain__extend_0,axiom,
( ~ c_in(X,Y,tc_set(Z))
| ~ c_in(U,c_Zorn_Ochain(Y,Z),tc_set(tc_set(Z)))
| c_in(c_Zorn_Ochain__extend__1(U,X,Z),U,tc_set(Z))
| c_in(c_union(c_insert(X,c_emptyset,tc_set(Z)),U,tc_set(Z)),c_Zorn_Ochain(Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).
cnf(cls_Zorn_Ochain__extend_1,axiom,
( ~ c_in(X,Y,tc_set(Z))
| ~ c_in(U,c_Zorn_Ochain(Y,Z),tc_set(tc_set(Z)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(U,X,Z),X,tc_set(Z))
| c_in(c_union(c_insert(X,c_emptyset,tc_set(Z)),U,tc_set(Z)),c_Zorn_Ochain(Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
cnf(cls_Zorn_Omaxchain__super__lemma_0,axiom,
( ~ c_in(X,Y,Z)
| ~ c_in(U,c_Zorn_Omaxchain(V,Z),tc_set(tc_set(Z)))
| ~ c_in(c_union(c_insert(Y,c_emptyset,tc_set(Z)),U,tc_set(Z)),c_Zorn_Ochain(V,Z),tc_set(tc_set(Z)))
| c_in(X,W,Z)
| c_in(c_Zorn_Omaxchain__super__lemma__1(U,W,Z),U,tc_set(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
cnf(cls_Zorn_Omaxchain__super__lemma_1,axiom,
( ~ c_in(X,Y,Z)
| ~ c_in(U,c_Zorn_Omaxchain(V,Z),tc_set(tc_set(Z)))
| ~ c_in(c_union(c_insert(Y,c_emptyset,tc_set(Z)),U,tc_set(Z)),c_Zorn_Ochain(V,Z),tc_set(tc_set(Z)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(U,W,Z),W,tc_set(Z))
| c_in(X,W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(v_xa,v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_7,negated_conjecture,
( c_lessequals(X,v_y,tc_set(t_a))
| ~ c_in(X,v_c,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(20,plain,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_Ochain__extend_0,cls_conjecture_3,cls_conjecture_1]) ).
cnf(21,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_Ochain__extend_1,cls_conjecture_3,cls_conjecture_1,cls_Set_OsubsetI_0]) ).
cnf(54,plain,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| c_in(v_xa,X,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X,t_a),v_c,tc_set(t_a)) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_Omaxchain__super__lemma_0,20,cls_conjecture_5,cls_conjecture_0]) ).
cnf(73,plain,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| c_in(v_xa,X,t_a)
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X,t_a),v_y,tc_set(t_a)) ),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_7,54]) ).
cnf(75,plain,
c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_Omaxchain__super__lemma_1,73,cls_conjecture_5,cls_conjecture_0,20]),cls_conjecture_6]) ).
cnf(76,plain,
c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_7,75]) ).
cnf(132,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_in(v_xa,X,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X,t_a),v_c,tc_set(t_a)) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_Omaxchain__super__lemma_0,21,cls_conjecture_5,cls_conjecture_0]) ).
cnf(171,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_in(v_xa,X,t_a)
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X,t_a),v_y,tc_set(t_a)) ),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_7,132]) ).
cnf(173,plain,
c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_Omaxchain__super__lemma_1,171,cls_conjecture_5,cls_conjecture_0,21]),cls_conjecture_6]) ).
cnf(174,plain,
c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OsubsetD_0,173,76]) ).
cnf(176,plain,
c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_x,t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OsubsetD_0,174,cls_conjecture_4]) ).
cnf(178,plain,
c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OsubsetI_1,176]) ).
cnf(180,plain,
c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_Ochain__extend_1,178,cls_conjecture_3,cls_conjecture_1]) ).
cnf(184,plain,
~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_y,tc_set(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_Omaxchain__super__lemma_1,180,cls_conjecture_5,cls_conjecture_0,cls_conjecture_6]) ).
cnf(185,plain,
c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_Omaxchain__super__lemma_0,180,cls_conjecture_5,cls_conjecture_0,cls_conjecture_6]) ).
cnf(229,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_conjecture_7,184]),185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET863-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 07:19:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T07:19:12
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-11T07:19:12
% 0.48/0.71
% 0.48/0.71
% 0.48/0.71 #||
% 0.48/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.71 % SZS output start Refutation
% See solution above
% 0.55/0.71 ||#
% 0.55/0.71
% 0.55/0.71 ; Summary of computation:
% 0.55/0.71 ; 531 formulas have been input or derived (from 62 formulas).
% 0.55/0.71 ; 229 (43%) were retained. Of these,
% 0.55/0.71 ; 66 (29%) were simplified or subsumed later,
% 0.55/0.71 ; 163 (71%) are still being kept.
% 0.55/0.71 ;
% 0.55/0.71 ; Run time in seconds excluding printing time:
% 0.55/0.71 ; 0.004 2% Read assertion file (1 call)
% 0.55/0.71 ; 0.001 0% Assert (14 calls)
% 0.55/0.71 ; 0.036 16% Process new row (501 calls)
% 0.55/0.71 ; 0.029 13% Resolution (122 calls)
% 0.55/0.71 ; 0.001 0% Paramodulation (61 calls)
% 0.55/0.71 ; 0.000 0% Factoring (28 calls)
% 0.55/0.71 ; 0.001 0% Condensing (311 calls)
% 0.55/0.71 ; 0.068 31% Forward subsumption (311 calls)
% 0.55/0.71 ; 0.012 5% Backward subsumption (199 calls)
% 0.55/0.71 ; 0.003 1% Clause clause subsumption (978 calls)
% 0.55/0.71 ; 0.013 6% Forward simplification (429 calls)
% 0.55/0.71 ; 0.017 8% Backward simplification (229 calls)
% 0.55/0.71 ; 0.009 4% Ordering (1,756 calls)
% 0.55/0.71 ; 0.001 0% Sortal reasoning (32 calls)
% 0.55/0.71 ; 0.000 0% Purity testing (1 call)
% 0.55/0.71 ; 0.024 11% Other
% 0.55/0.71 ; 0.219 Total
% 0.55/0.71 ; 0.223 Real time
% 0.55/0.71 ;
% 0.55/0.71 ; Term-hash-array has 309 terms in all.
% 0.55/0.71 ; Feature-vector-row-index has 133 entries (133 at peak, 199 added, 66 deleted).
% 0.55/0.71 ; Feature-vector-row-index has 1,814 nodes (1,926 at peak, 3,101 added, 1,287 deleted).
% 0.55/0.71 ; Retrieved 1,599 possibly forward subsuming rows in 311 calls.
% 0.55/0.71 ; Retrieved 126 possibly backward subsumed rows in 199 calls.
% 0.55/0.71 ; Path-index has 313 entries (313 at peak, 405 added, 92 deleted).
% 0.55/0.71 ; Path-index has 728 nodes (728 at peak, 840 added, 112 deleted).
% 0.55/0.71 ; Trie-index has 313 entries (313 at peak, 405 added, 92 deleted).
% 0.55/0.71 ; Trie-index has 1,529 nodes (1,529 at peak, 2,278 added, 749 deleted).
% 0.55/0.71 ; Retrieved 107 generalization terms in 1,347 calls.
% 0.55/0.71 ; Retrieved 29 instance terms in 29 calls.
% 0.55/0.71 ; Retrieved 6,640 unifiable terms in 1,524 calls.
% 0.55/0.71 ;
% 0.55/0.71 ; The agenda of rows to process has 2 entries:
% 0.55/0.71 ; 1 with value 24 1 with value 27
% 0.55/0.71 ; The agenda of rows to give has 108 entries:
% 0.55/0.71 ; 1 with value (4 20) 8 with value (4 47) 1 with value (4 73)
% 0.55/0.71 ; 1 with value (4 24) 1 with value (4 48) 1 with value (4 74)
% 0.55/0.71 ; 1 with value (4 25) 2 with value (4 49) 1 with value (4 76)
% 0.55/0.71 ; 1 with value (4 27) 2 with value (4 50) 2 with value (4 77)
% 0.55/0.71 ; 1 with value (4 29) 3 with value (4 52) 1 with value (4 81)
% 0.55/0.71 ; 2 with value (4 30) 4 with value (4 53) 1 with value (4 83)
% 0.55/0.71 ; 1 with value (4 31) 4 with value (4 55) 1 with value (4 86)
% 0.55/0.71 ; 2 with value (4 33) 1 with value (4 56) 2 with value (4 88)
% 0.55/0.71 ; 2 with value (4 34) 2 with value (4 58) 2 with value (4 90)
% 0.55/0.71 ; 1 with value (4 35) 1 with value (4 59) 1 with value (4 91)
% 0.55/0.71 ; 3 with value (4 38) 1 with value (4 60) 1 with value (4 94)
% 0.55/0.71 ; 4 with value (4 39) 1 with value (4 61) 2 with value (4 95)
% 0.55/0.71 ; 5 with value (4 40) 1 with value (4 62) 1 with value (4 97)
% 0.55/0.71 ; 6 with value (4 41) 1 with value (4 63) 1 with value (4 98)
% 0.55/0.71 ; 3 with value (4 42) 1 with value (4 64) 1 with value (4 100)
% 0.55/0.71 ; 4 with value (4 43) 1 with value (4 66) 1 with value (4 102)
% 0.55/0.71 ; 1 with value (4 44) 1 with value (4 67) 1 with value (4 104)
% 0.55/0.71 ; 5 with value (4 45) 1 with value (4 68) 1 with value (4 108)
% 0.55/0.71 ; 4 with value (4 46) 1 with value (4 72) 1 with value (4 109)
% 0.55/0.71 Evaluation took:
% 0.55/0.71 0.223 seconds of real time
% 0.55/0.71 0.204453 seconds of user run time
% 0.55/0.71 0.019123 seconds of system run time
% 0.55/0.71 [Run times include 0.006 seconds GC run time.]
% 0.55/0.71 0 calls to %EVAL
% 0.55/0.71 0 page faults and
% 0.55/0.71 18,965,040 bytes consed.
% 0.55/0.71 :PROOF-FOUND
% 0.55/0.71 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T07:19:12
% 0.55/0.71 :PROOF-FOUND
% 0.55/0.71 *
%------------------------------------------------------------------------------