TSTP Solution File: SET845-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET845-2 : 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 05:12:42 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 3 equ; 6 neg)
% Maximal clause size : 3 ( 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; 3 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OUnion__upper_0,axiom,
( ~ c_in(X,Y,tc_set(Z))
| c_lessequals(X,c_Union(Y,Z),tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(Y,X,tc_set(Z))
| Y = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_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_OsuccI_0,axiom,
( ~ c_in(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| c_in(c_Zorn_Osucc(Y,X,Z),c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(9,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))),
inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,cls_Zorn_OAbrial__axiom1_0,cls_conjecture_2]) ).
cnf(10,plain,
c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin_OsuccI_0,cls_conjecture_0]) ).
cnf(11,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnion__upper_0,10]),9,cls_conjecture_1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET845-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 08:22:12 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-11T08:22:12
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-11T08:22:12
% 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 ; 22 formulas have been input or derived (from 11 formulas).
% 0.20/0.50 ; 11 (50%) were retained. Of these,
% 0.20/0.50 ; 11 (100%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (7 calls)
% 0.20/0.50 ; 0.002 7% Process new row (13 calls)
% 0.20/0.50 ; 0.000 0% Resolution (20 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (10 calls)
% 0.20/0.50 ; 0.000 0% Condensing (3 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (3 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (3 calls)
% 0.20/0.50 ; 0.001 4% Forward simplification (13 calls)
% 0.20/0.50 ; 0.000 0% Backward simplification (11 calls)
% 0.20/0.50 ; 0.000 0% Ordering (6 calls)
% 0.20/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.022 81% Other
% 0.20/0.50 ; 0.027 Total
% 0.20/0.50 ; 0.030 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 24 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 21 nodes (21 at peak, 21 added, 0 deleted).
% 0.20/0.50 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.20/0.50 ; Path-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.20/0.50 ; Path-index has 120 nodes (120 at peak, 120 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 111 nodes (111 at peak, 111 added, 0 deleted).
% 0.20/0.50 ; Retrieved 3 generalization terms in 8 calls.
% 0.20/0.50 ; Retrieved 7 instance terms in 7 calls.
% 0.20/0.50 ; Retrieved 73 unifiable terms in 87 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 3 entries:
% 0.20/0.50 ; 3 with value 19
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.03 seconds of real time
% 0.20/0.50 0.024621 seconds of user run time
% 0.20/0.50 0.005125 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 1,989,448 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T08:22:12
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------