TSTP Solution File: SET853-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET853-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 05:12:51 EDT 2022
% Result : Unsatisfiable 0.38s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 24 ( 10 unt; 12 nHn; 22 RR)
% Number of literals : 56 ( 13 equ; 19 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 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 : 26 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_x,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_xa,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_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
v_xa != c_Zorn_Osucc(v_S,v_x,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,X,t_a),v_x,tc_set(tc_set(t_a)))
| X = v_x
| ~ c_lessequals(X,v_x,tc_set(tc_set(t_a)))
| ~ c_in(X,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
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_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_Osucc__trans_0,axiom,
( ~ c_lessequals(X,Y,tc_set(tc_set(Z)))
| c_lessequals(X,c_Zorn_Osucc(U,Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).
cnf(14,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))),
inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,cls_conjecture_2,cls_conjecture_3]) ).
cnf(16,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))),
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_Osucc__trans_0,cls_conjecture_4]) ).
cnf(18,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,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]),14]) ).
cnf(20,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,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]),14]) ).
cnf(30,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_xa = v_x ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_5,20,cls_conjecture_1]),16]) ).
cnf(32,plain,
( v_xa = v_x
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_5,30,18]) ).
cnf(60,plain,
( v_xa = v_x
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin__linear__lemma1_3,32,cls_conjecture_0,cls_conjecture_1]),14]) ).
cnf(61,plain,
( v_xa = v_x
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_5,60,cls_conjecture_1]),16]) ).
cnf(62,plain,
( v_xa = v_x
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin__linear__lemma1_2,61,cls_conjecture_0,cls_conjecture_1]),14]) ).
cnf(64,plain,
v_xa = v_x,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_5,62,cls_conjecture_1]),16]) ).
cnf(66,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_Set_Osubset__refl_0,64,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET853-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Sat Jul 9 17:57:44 EDT 2022
% 0.13/0.34 % 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 2022-07-09T17:57:44
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-09T17:57:44
% 0.38/0.54
% 0.38/0.54
% 0.38/0.54 #||
% 0.38/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.54 % SZS output start Refutation
% See solution above
% 0.38/0.54 ||#
% 0.38/0.54
% 0.38/0.54 ; Summary of computation:
% 0.38/0.54 ; 159 formulas have been input or derived (from 50 formulas).
% 0.38/0.54 ; 66 (42%) were retained. Of these,
% 0.38/0.54 ; 47 (71%) were simplified or subsumed later,
% 0.38/0.54 ; 19 (29%) are still being kept.
% 0.38/0.54 ;
% 0.38/0.54 ; Run time in seconds excluding printing time:
% 0.38/0.54 ; 0.004 6% Read assertion file (1 call)
% 0.38/0.54 ; 0.001 1% Assert (13 calls)
% 0.38/0.54 ; 0.012 17% Process new row (96 calls)
% 0.38/0.54 ; 0.009 13% Resolution (98 calls)
% 0.38/0.54 ; 0.002 3% Paramodulation (49 calls)
% 0.38/0.54 ; 0.000 0% Factoring (23 calls)
% 0.38/0.54 ; 0.001 1% Condensing (47 calls)
% 0.38/0.54 ; 0.007 10% Forward subsumption (47 calls)
% 0.38/0.54 ; 0.002 3% Backward subsumption (42 calls)
% 0.38/0.54 ; 0.001 1% Clause clause subsumption (79 calls)
% 0.38/0.54 ; 0.004 6% Forward simplification (91 calls)
% 0.38/0.54 ; 0.004 6% Backward simplification (66 calls)
% 0.38/0.54 ; 0.000 0% Ordering (183 calls)
% 0.38/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.54 ; 0.000 0% Purity testing (1 call)
% 0.38/0.54 ; 0.023 33% Other
% 0.38/0.54 ; 0.070 Total
% 0.38/0.54 ; 0.075 Real time
% 0.38/0.54 ;
% 0.38/0.54 ; Term-hash-array has 176 terms in all.
% 0.38/0.54 ; Feature-vector-row-index has 7 entries (40 at peak, 42 added, 35 deleted).
% 0.38/0.54 ; Feature-vector-row-index has 91 nodes (632 at peak, 668 added, 577 deleted).
% 0.38/0.54 ; Retrieved 80 possibly forward subsuming rows in 47 calls.
% 0.38/0.54 ; Retrieved 9 possibly backward subsumed rows in 42 calls.
% 0.38/0.54 ; Path-index has 84 entries (179 at peak, 183 added, 99 deleted).
% 0.38/0.54 ; Path-index has 238 nodes (333 at peak, 343 added, 105 deleted).
% 0.38/0.54 ; Trie-index has 84 entries (179 at peak, 183 added, 99 deleted).
% 0.38/0.54 ; Trie-index has 238 nodes (698 at peak, 713 added, 475 deleted).
% 0.38/0.54 ; Retrieved 226 generalization terms in 218 calls.
% 0.38/0.54 ; Retrieved 38 instance terms in 23 calls.
% 0.38/0.54 ; Retrieved 1,572 unifiable terms in 784 calls.
% 0.38/0.54 ;
% 0.38/0.54 ; The agenda of backward simplifiable rows to process has 29 entries:
% 0.38/0.54 ; 29 with value 0
% 0.38/0.54 ; The agenda of rows to process has 2 entries:
% 0.38/0.54 ; 1 with value 23 1 with value 25
% 0.38/0.54 ; The agenda of input rows to give has 1 entry:
% 0.38/0.54 ; 1 with value 8
% 0.38/0.54 ; The agenda of rows to give has 2 entries:
% 0.38/0.54 ; 1 with value (4 11) 1 with value (4 42)
% 0.38/0.54 Evaluation took:
% 0.38/0.54 0.075 seconds of real time
% 0.38/0.54 0.063988 seconds of user run time
% 0.38/0.54 0.010857 seconds of system run time
% 0.38/0.54 0 calls to %EVAL
% 0.38/0.54 0 page faults and
% 0.38/0.54 6,044,024 bytes consed.
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T17:57:44
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 *
%------------------------------------------------------------------------------