TSTP Solution File: SET858-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 05:12:55 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 11 unt; 5 nHn; 16 RR)
% Number of literals : 39 ( 3 equ; 20 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_Osubset__trans_0,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(U,X,tc_set(Z))
| c_lessequals(U,Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
c_lessequals(X,c_Zorn_Osucc(Y,X,Z),tc_set(tc_set(Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
cnf(cls_Zorn_OTFin__linear__lemma1_0,axiom,
( ~ c_in(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| ~ c_in(U,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(Y,X,Z),c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| c_lessequals(U,X,tc_set(tc_set(Z)))
| c_lessequals(c_Zorn_Osucc(Y,X,Z),U,tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).
cnf(cls_Zorn_OTFin__linear__lemma1_1,axiom,
( ~ c_in(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| ~ c_in(U,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| c_lessequals(U,X,tc_set(tc_set(Z)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(Y,X,Z),X,tc_set(tc_set(Z)))
| c_lessequals(c_Zorn_Osucc(Y,X,Z),U,tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).
cnf(cls_Zorn_OTFin__linear__lemma1_2,axiom,
( ~ c_in(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| ~ c_in(U,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| c_Zorn_OTFin__linear__lemma1__1(Y,X,Z) != X
| c_lessequals(U,X,tc_set(tc_set(Z)))
| c_lessequals(c_Zorn_Osucc(Y,X,Z),U,tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).
cnf(cls_Zorn_OTFin__linear__lemma1_3,axiom,
( ~ c_in(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| ~ c_in(U,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| ~ c_lessequals(c_Zorn_Osucc(Y,c_Zorn_OTFin__linear__lemma1__1(Y,X,Z),Z),X,tc_set(tc_set(Z)))
| c_lessequals(U,X,tc_set(tc_set(Z)))
| c_lessequals(c_Zorn_Osucc(Y,X,Z),U,tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).
cnf(cls_Zorn_OTFin__linear__lemma2_0,axiom,
( ~ c_in(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| ~ c_in(U,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| ~ c_lessequals(X,U,tc_set(tc_set(Z)))
| c_lessequals(c_Zorn_Osucc(Y,X,Z),U,tc_set(tc_set(Z)))
| X = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma2_0) ).
cnf(13,plain,
~ c_lessequals(c_Zorn_Osucc(X,v_m,t_a),v_n,tc_set(tc_set(t_a))),
inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__trans_0,cls_Zorn_OAbrial__axiom1_0,cls_conjecture_3]) ).
cnf(16,plain,
c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin__linear__lemma1_1,cls_conjecture_0,cls_conjecture_1]),13,cls_conjecture_2]) ).
cnf(19,plain,
c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin__linear__lemma1_0,cls_conjecture_0,cls_conjecture_1]),13,cls_conjecture_2]) ).
cnf(24,plain,
c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) != v_m,
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_OTFin__linear__lemma1_2,13,cls_conjecture_0,cls_conjecture_1,cls_conjecture_2]) ).
cnf(25,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a))),
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_OTFin__linear__lemma1_3,13,cls_conjecture_0,cls_conjecture_1,cls_conjecture_2]) ).
cnf(33,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Zorn_OTFin__linear__lemma2_0,19,cls_conjecture_0,16,24]),25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 01:11:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T01:11:17
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-11T01:11:17
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 57 formulas have been input or derived (from 21 formulas).
% 0.20/0.50 ; 33 (58%) were retained. Of these,
% 0.20/0.50 ; 2 ( 6%) were simplified or subsumed later,
% 0.20/0.50 ; 31 (94%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.004 10% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (11 calls)
% 0.20/0.50 ; 0.002 5% Process new row (43 calls)
% 0.20/0.50 ; 0.005 13% Resolution (40 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (20 calls)
% 0.20/0.50 ; 0.001 3% Condensing (8 calls)
% 0.20/0.50 ; 0.001 3% Forward subsumption (8 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (8 calls)
% 0.20/0.50 ; 0.000 0% Forward simplification (43 calls)
% 0.20/0.50 ; 0.001 3% Backward simplification (33 calls)
% 0.20/0.50 ; 0.000 0% Ordering (1 call)
% 0.20/0.50 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.024 62% Other
% 0.20/0.50 ; 0.039 Total
% 0.20/0.50 ; 0.043 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 63 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 6 entries (7 at peak, 8 added, 2 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 72 nodes (90 at peak, 106 added, 34 deleted).
% 0.20/0.50 ; Retrieved 0 possibly forward subsuming rows in 8 calls.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.20/0.50 ; Path-index has 64 entries (64 at peak, 70 added, 6 deleted).
% 0.20/0.50 ; Path-index has 186 nodes (186 at peak, 190 added, 4 deleted).
% 0.20/0.50 ; Trie-index has 64 entries (64 at peak, 70 added, 6 deleted).
% 0.20/0.50 ; Trie-index has 279 nodes (279 at peak, 307 added, 28 deleted).
% 0.20/0.50 ; Retrieved 22 generalization terms in 76 calls.
% 0.20/0.50 ; Retrieved 24 instance terms in 24 calls.
% 0.20/0.50 ; Retrieved 1,291 unifiable terms in 571 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 11 entries:
% 0.20/0.50 ; 1 with value 25 2 with value 43 1 with value 52
% 0.20/0.50 ; 1 with value 29 2 with value 46 1 with value 53
% 0.20/0.50 ; 1 with value 41 2 with value 47
% 0.20/0.50 ; The agenda of rows to give has 10 entries:
% 0.20/0.50 ; 1 with value (4 15) 1 with value (4 16) 8 with value (4 17)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.043 seconds of real time
% 0.20/0.50 0.038175 seconds of user run time
% 0.20/0.50 0.00518 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 3,799,568 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T01:11:17
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------