TSTP Solution File: SET843-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET843-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 05:12:40 EDT 2022
% Result : Unsatisfiable 0.14s 0.43s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 11 unt; 2 nHn; 16 RR)
% Number of literals : 30 ( 9 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 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 : 23 ( 2 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_Set_Osubset__refl_0,axiom,
c_lessequals(X,X,tc_set(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_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_Zorn_OTFin__UnionI_0,axiom,
( ~ c_lessequals(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(tc_set(Z))))
| c_in(c_Union(X,tc_set(Z)),c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(cls_Zorn_Oeq__succ__upper_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)))
| X != c_Zorn_Osucc(Y,X,Z)
| c_lessequals(U,X,tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_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))
| v_m != c_Zorn_Osucc(v_S,v_m,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)
| v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(11,plain,
c_lessequals(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnion__upper_0,cls_conjecture_0]) ).
cnf(12,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(13,plain,
c_in(c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),c_Zorn_OTFin(X,Y),tc_set(tc_set(Y))),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin__UnionI_0,cls_Set_Osubset__refl_0]) ).
cnf(15,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnion__upper_0,12]) ).
cnf(19,plain,
( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_Oeq__succ__upper_0,13,cls_conjecture_0,cls_conjecture_2]) ).
cnf(30,plain,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,19,11]) ).
cnf(31,plain,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_1,30,theory(equality)]) ).
cnf(32,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))),
inference('REWRITE',[status(thm)],[15,30,theory(equality)]) ).
cnf(35,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,31,cls_Zorn_OAbrial__axiom1_0]),32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET843-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.09 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n017.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jul 11 03:53:48 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.38 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 *
% 0.14/0.39 *
% 0.14/0.39 #<PACKAGE "SNARK-USER">
% 0.14/0.39 *
% 0.14/0.39 SNARK-TPTP-OPTIONS
% 0.14/0.39 *
% 0.14/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39 (USE-FACTORING :POS)
% 0.14/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39 *
% 0.14/0.39 "."
% 0.14/0.39 *
% 0.14/0.39 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T03:53:48
% 0.14/0.40 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-11T03:53:48
% 0.14/0.43
% 0.14/0.43
% 0.14/0.43 #||
% 0.14/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 % SZS output start Refutation
% See solution above
% 0.14/0.43 ||#
% 0.14/0.43
% 0.14/0.43 ; Summary of computation:
% 0.14/0.43 ; 91 formulas have been input or derived (from 24 formulas).
% 0.14/0.43 ; 35 (38%) were retained. Of these,
% 0.14/0.43 ; 15 (43%) were simplified or subsumed later,
% 0.14/0.43 ; 20 (57%) are still being kept.
% 0.14/0.43 ;
% 0.14/0.43 ; Run time in seconds excluding printing time:
% 0.14/0.43 ; 0.002 6% Read assertion file (1 call)
% 0.14/0.43 ; 0.001 3% Assert (10 calls)
% 0.14/0.43 ; 0.004 11% Process new row (68 calls)
% 0.14/0.43 ; 0.003 8% Resolution (46 calls)
% 0.14/0.43 ; 0.002 6% Paramodulation (23 calls)
% 0.14/0.43 ; 0.000 0% Factoring (3 calls)
% 0.14/0.43 ; 0.000 0% Condensing (16 calls)
% 0.14/0.43 ; 0.000 0% Forward subsumption (16 calls)
% 0.14/0.43 ; 0.000 0% Backward subsumption (13 calls)
% 0.14/0.43 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.14/0.43 ; 0.003 8% Forward simplification (68 calls)
% 0.14/0.43 ; 0.001 3% Backward simplification (35 calls)
% 0.14/0.43 ; 0.000 0% Ordering (52 calls)
% 0.14/0.43 ; 0.000 0% Sortal reasoning (32 calls)
% 0.14/0.43 ; 0.000 0% Purity testing (1 call)
% 0.14/0.43 ; 0.020 56% Other
% 0.14/0.43 ; 0.036 Total
% 0.14/0.43 ; 0.038 Real time
% 0.14/0.43 ;
% 0.14/0.43 ; Term-hash-array has 59 terms in all.
% 0.14/0.43 ; Feature-vector-row-index has 5 entries (13 at peak, 13 added, 8 deleted).
% 0.14/0.43 ; Feature-vector-row-index has 43 nodes (187 at peak, 187 added, 144 deleted).
% 0.14/0.43 ; Retrieved 8 possibly forward subsuming rows in 16 calls.
% 0.14/0.43 ; Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.14/0.43 ; Path-index has 49 entries (62 at peak, 66 added, 17 deleted).
% 0.14/0.43 ; Path-index has 263 nodes (297 at peak, 311 added, 48 deleted).
% 0.14/0.43 ; Trie-index has 49 entries (62 at peak, 66 added, 17 deleted).
% 0.14/0.43 ; Trie-index has 243 nodes (373 at peak, 404 added, 161 deleted).
% 0.14/0.43 ; Retrieved 50 generalization terms in 76 calls.
% 0.14/0.43 ; Retrieved 25 instance terms in 21 calls.
% 0.14/0.43 ; Retrieved 773 unifiable terms in 420 calls.
% 0.14/0.43 ;
% 0.14/0.43 ; The agenda of rows to give has 5 entries:
% 0.14/0.43 ; 2 with value (4 14) 1 with value (4 23) 1 with value (4 29)
% 0.14/0.43 ; 1 with value (4 18)
% 0.14/0.43 Evaluation took:
% 0.14/0.43 0.039 seconds of real time
% 0.14/0.43 0.031705 seconds of user run time
% 0.14/0.43 0.006881 seconds of system run time
% 0.14/0.43 0 calls to %EVAL
% 0.14/0.43 0 page faults and
% 0.14/0.43 3,562,232 bytes consed.
% 0.14/0.43 :PROOF-FOUND
% 0.14/0.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T03:53:48
% 0.14/0.43 :PROOF-FOUND
% 0.14/0.43 *
%------------------------------------------------------------------------------