TSTP Solution File: SWV252-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV252-2 : 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 : Wed Jul 20 21:32:20 EDT 2022
% Result : Unsatisfiable 1.66s 1.86s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 35 ( 25 unt; 0 nHn; 17 RR)
% Number of literals : 48 ( 7 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 66 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_Oparts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X)) = c_Message_Oparts(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(cls_Message_Oparts__subset__iff_0,axiom,
( ~ c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg))
| c_lessequals(X,c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
cnf(cls_Message_Oparts__subset__iff_1,axiom,
( ~ c_lessequals(X,c_Message_Oparts(Y),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
cnf(cls_Message_Oparts__synth_0,axiom,
c_Message_Oparts(c_Message_Osynth(X)) = c_union(c_Message_Oparts(X),c_Message_Osynth(X),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(X)
| c_lessequals(Y,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(cls_Set_OUn__subset__iff_0,axiom,
( ~ c_lessequals(c_union(X,Y,Z),U,tc_set(Z))
| c_lessequals(X,U,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).
cnf(cls_Set_OUn__subset__iff_1,axiom,
( ~ c_lessequals(c_union(X,Y,Z),U,tc_set(Z))
| c_lessequals(Y,U,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
cnf(cls_Set_OUn__subset__iff_2,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(U,Y,tc_set(Z))
| c_lessequals(c_union(U,X,Z),Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).
cnf(cls_Set_Oinsert__subset_0,axiom,
( ~ c_lessequals(c_insert(X,Y,Z),U,tc_set(Z))
| c_in(X,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_0) ).
cnf(cls_Set_Oinsert__subset_1,axiom,
( ~ c_lessequals(c_insert(X,Y,Z),U,tc_set(Z))
| c_lessequals(Y,U,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_1) ).
cnf(cls_Set_Oinsert__subset_2,axiom,
( ~ c_in(X,Y,Z)
| ~ c_lessequals(U,Y,tc_set(Z))
| c_lessequals(c_insert(X,U,Z),Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_2) ).
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(clsarity_set_2,axiom,
class_Orderings_Oorder(tc_set(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_2) ).
cnf(20,plain,
c_lessequals(X,X,tc_set(Y)),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0,clsarity_set_2]) ).
cnf(21,plain,
c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X))) = c_union(c_Message_Oparts(X),c_Message_Osynth(c_Message_Oanalz(X)),tc_Message_Omsg),
inference('PARAMODULATE',[status(thm)],[cls_Message_Oparts__synth_0,cls_Message_Oparts__analz_0,theory(equality)]) ).
cnf(32,plain,
c_lessequals(X,c_Message_Oparts(X),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts__subset__iff_0,20]) ).
cnf(34,plain,
c_lessequals(X,c_union(Y,X,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_1,20]) ).
cnf(35,plain,
c_lessequals(X,c_union(X,Y,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_0,20]) ).
cnf(37,plain,
c_lessequals(X,c_insert(Y,X,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Oinsert__subset_1,20]) ).
cnf(39,plain,
c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_H)),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Oinsert__subset_2,20,cls_conjecture_0]) ).
cnf(51,plain,
c_in(X,c_Message_Oparts(c_insert(X,Y,tc_Message_Omsg)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Oinsert__subset_0,32]) ).
cnf(55,plain,
c_lessequals(c_union(c_Message_Oparts(X),X,tc_Message_Omsg),c_Message_Oparts(X),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_2,32,20]) ).
cnf(67,plain,
c_lessequals(c_union(X,Y,Z),c_union(Y,X,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_2,35,34]) ).
cnf(70,plain,
c_lessequals(X,c_union(c_union(Y,X,Z),U,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_1,35]) ).
cnf(214,plain,
c_Message_Oparts(X) = c_union(c_Message_Oparts(X),X,tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,55,35]) ).
cnf(222,plain,
c_union(X,Y,Z) = c_union(Y,X,Z),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,67,67]) ).
cnf(232,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_1,222,theory(equality)]),21,theory(equality)]) ).
cnf(300,plain,
c_lessequals(X,c_union(c_Message_Oparts(X),Y,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference('PARAMODULATE',[status(thm)],[70,214,theory(equality)]) ).
cnf(517,plain,
c_lessequals(X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X))),tc_set(tc_Message_Omsg)),
inference('PARAMODULATE',[status(thm)],[300,21,theory(equality)]) ).
cnf(553,plain,
c_Message_Osynth(c_Message_Oanalz(v_H)) = c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,39,37]) ).
cnf(554,plain,
c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg),
inference('PARAMODULATE',[status(thm)],[51,553,theory(equality)]) ).
cnf(934,plain,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Oinsert__subset_2,517,554]) ).
cnf(4778,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts__subset__iff_1,232]),934]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV252-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n019.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 : Wed Jun 15 01:49:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T01:49:54
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-15T01:49:54
% 1.66/1.86
% 1.66/1.86
% 1.66/1.86 #||
% 1.66/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.86 % SZS output start Refutation
% See solution above
% 1.66/1.86 ||#
% 1.66/1.86
% 1.66/1.86 ; Summary of computation:
% 1.66/1.86 ; 14452 formulas have been input or derived (from 241 formulas).
% 1.66/1.86 ; 4778 (33%) were retained. Of these,
% 1.66/1.86 ; 196 ( 4%) were simplified or subsumed later,
% 1.66/1.86 ; 4582 (96%) are still being kept.
% 1.66/1.86 ;
% 1.66/1.86 ; Run time in seconds excluding printing time:
% 1.66/1.86 ; 0.004 0% Read assertion file (1 call)
% 1.66/1.86 ; 0.000 0% Assert (19 calls)
% 1.66/1.86 ; 0.424 30% Process new row (13,809 calls)
% 1.66/1.86 ; 0.489 35% Resolution (480 calls)
% 1.66/1.86 ; 0.048 3% Paramodulation (240 calls)
% 1.66/1.86 ; 0.002 0% Condensing (54 calls)
% 1.66/1.86 ; 0.001 0% Forward subsumption (54 calls)
% 1.66/1.86 ; 0.002 0% Backward subsumption (26 calls)
% 1.66/1.86 ; 0.000 0% Clause clause subsumption (62 calls)
% 1.66/1.86 ; 0.259 19% Forward simplification (13,084 calls)
% 1.66/1.86 ; 0.088 6% Backward simplification (4,778 calls)
% 1.66/1.86 ; 0.005 0% Ordering (2,029 calls)
% 1.66/1.86 ; 0.000 0% Sortal reasoning (32 calls)
% 1.66/1.86 ; 0.000 0% Purity testing (1 call)
% 1.66/1.86 ; 0.071 5% Other
% 1.66/1.86 ; 1.393 Total
% 1.66/1.86 ; 1.399 Real time
% 1.66/1.86 ;
% 1.66/1.86 ; Term-hash-array has 9,246 terms in all.
% 1.66/1.86 ; Feature-vector-row-index has 20 entries (20 at peak, 26 added, 6 deleted).
% 1.66/1.86 ; Feature-vector-row-index has 74 nodes (80 at peak, 100 added, 26 deleted).
% 1.66/1.86 ; Retrieved 61 possibly forward subsuming rows in 54 calls.
% 1.66/1.86 ; Retrieved 13 possibly backward subsumed rows in 26 calls.
% 1.66/1.86 ; Path-index has 9,015 entries (9,015 at peak, 9,258 added, 243 deleted).
% 1.66/1.86 ; Path-index has 13,155 nodes (13,170 at peak, 13,208 added, 53 deleted).
% 1.66/1.86 ; Trie-index has 9,015 entries (9,015 at peak, 9,258 added, 243 deleted).
% 1.66/1.86 ; Trie-index has 59,690 nodes (59,690 at peak, 60,852 added, 1,162 deleted).
% 1.66/1.86 ; Retrieved 84,206 generalization terms in 45,210 calls.
% 1.66/1.86 ; Retrieved 10,671 instance terms in 4,751 calls.
% 1.66/1.86 ; Retrieved 320,719 unifiable terms in 10,111 calls.
% 1.66/1.86 ;
% 1.66/1.86 ; The agenda of rows to process has 6 entries:
% 1.66/1.86 ; 3 with value 23 3 with value 25
% 1.66/1.86 ; The agenda of rows to give has 4357 entries:
% 1.66/1.86 ; 94 with value (4 21) 272 with value (4 29) 172 with value (4 37)
% 1.66/1.86 ; 170 with value (4 22) 261 with value (4 30) 166 with value (4 38)
% 1.66/1.86 ; 176 with value (4 23) 192 with value (4 31) 139 with value (4 39)
% 1.66/1.86 ; 377 with value (4 24) 220 with value (4 32) 74 with value (4 40)
% 1.66/1.86 ; 346 with value (4 25) 160 with value (4 33) 1 with value (4 41)
% 1.66/1.86 ; 283 with value (4 26) 215 with value (4 34) 62 with value (4 42)
% 1.66/1.86 ; 319 with value (4 27) 143 with value (4 35) 9 with value (4 43)
% 1.66/1.86 ; 253 with value (4 28) 85 with value (4 36) 168 with value (4 44)
% 1.66/1.86 Evaluation took:
% 1.66/1.86 1.4 seconds of real time
% 1.66/1.86 1.324231 seconds of user run time
% 1.66/1.86 0.07212 seconds of system run time
% 1.66/1.86 [Run times include 0.169 seconds GC run time.]
% 1.66/1.86 0 calls to %EVAL
% 1.66/1.86 0 page faults and
% 1.66/1.86 98,369,592 bytes consed.
% 1.66/1.86 :PROOF-FOUND
% 1.66/1.86 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T01:49:56
% 1.66/1.86 :PROOF-FOUND
% 1.66/1.86 *
%------------------------------------------------------------------------------