TSTP Solution File: SET841-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET841-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:12:39 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 9 ( 8 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 3 equ; 4 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X,X,tc_set(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(cls_Zorn_OTFin__subsetD_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/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__subsetD_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(8,plain,
v_x = v_m,
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_OTFin__subsetD_0,cls_conjecture_2,cls_conjecture_0,cls_conjecture_3,cls_conjecture_4]) ).
cnf(9,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_Set_Osubset__refl_0,cls_conjecture_1,8,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET841-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 01:18:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46 *
% 0.21/0.46 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T01:18:53
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T01:18:53
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 #||
% 0.21/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 % SZS output start Refutation
% See solution above
% 0.21/0.50 ||#
% 0.21/0.50
% 0.21/0.50 ; Summary of computation:
% 0.21/0.50 ; 15 formulas have been input or derived (from 8 formulas).
% 0.21/0.50 ; 9 (60%) were retained. Of these,
% 0.21/0.50 ; 3 (33%) were simplified or subsumed later,
% 0.21/0.50 ; 6 (67%) are still being kept.
% 0.21/0.50 ;
% 0.21/0.50 ; Run time in seconds excluding printing time:
% 0.21/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.21/0.50 ; 0.000 0% Assert (7 calls)
% 0.21/0.50 ; 0.002 7% Process new row (12 calls)
% 0.21/0.50 ; 0.001 4% Resolution (14 calls)
% 0.21/0.50 ; 0.000 0% Paramodulation (7 calls)
% 0.21/0.50 ; 0.000 0% Condensing (1 call)
% 0.21/0.50 ; 0.000 0% Forward subsumption (1 call)
% 0.21/0.50 ; 0.000 0% Backward subsumption (1 call)
% 0.21/0.50 ; 0.000 0% Forward simplification (12 calls)
% 0.21/0.50 ; 0.000 0% Backward simplification (9 calls)
% 0.21/0.50 ; 0.000 0% Ordering (7 calls)
% 0.21/0.50 ; 0.001 4% Sortal reasoning (32 calls)
% 0.21/0.50 ; 0.000 0% Purity testing (1 call)
% 0.21/0.50 ; 0.021 78% Other
% 0.21/0.50 ; 0.027 Total
% 0.21/0.50 ; 0.029 Real time
% 0.21/0.50 ;
% 0.21/0.50 ; Term-hash-array has 22 terms in all.
% 0.21/0.50 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.21/0.50 ; Feature-vector-row-index has 14 nodes (14 at peak, 14 added, 0 deleted).
% 0.21/0.50 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.21/0.50 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.21/0.50 ; Path-index has 22 entries (26 at peak, 26 added, 4 deleted).
% 0.21/0.50 ; Path-index has 73 nodes (81 at peak, 81 added, 8 deleted).
% 0.21/0.50 ; Trie-index has 22 entries (26 at peak, 26 added, 4 deleted).
% 0.21/0.50 ; Trie-index has 63 nodes (84 at peak, 84 added, 21 deleted).
% 0.21/0.50 ; Retrieved 8 generalization terms in 10 calls.
% 0.21/0.50 ; Retrieved 7 instance terms in 7 calls.
% 0.21/0.50 ; Retrieved 83 unifiable terms in 91 calls.
% 0.21/0.50 ;
% 0.21/0.50 ; The agenda of rows to process has 3 entries:
% 0.21/0.50 ; 3 with value 17
% 0.21/0.50 ; The agenda of rows to give has 1 entry:
% 0.21/0.50 ; 1 with value (4 5)
% 0.21/0.50 Evaluation took:
% 0.21/0.50 0.029 seconds of real time
% 0.21/0.50 0.022283 seconds of user run time
% 0.21/0.50 0.006777 seconds of system run time
% 0.21/0.50 0 calls to %EVAL
% 0.21/0.50 0 page faults and
% 0.21/0.50 1,866,320 bytes consed.
% 0.21/0.50 :PROOF-FOUND
% 0.21/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T01:18:53
% 0.21/0.50 :PROOF-FOUND
% 0.21/0.50 *
%------------------------------------------------------------------------------