TSTP Solution File: SWV249-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV249-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 21:32:19 EDT 2022
% Result : Unsatisfiable 8.39s 8.63s
% Output : Refutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of clauses : 30 ( 22 unt; 0 nHn; 14 RR)
% Number of literals : 41 ( 9 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 65 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_Oanalz__analz__Un_0,axiom,
c_Message_Oanalz(c_union(c_Message_Oanalz(X),Y,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X,Y,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
cnf(cls_Message_Oanalz__mono_0,axiom,
( ~ c_lessequals(X,Y,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X),c_Message_Oanalz(Y),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
cnf(cls_Message_Oanalz__synth__Un_0,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(X),Y,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X,Y,tc_Message_Omsg)),c_Message_Osynth(X),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_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__insert__left_0,axiom,
c_union(c_insert(X,Y,Z),U,Z) = c_insert(X,c_union(Y,U,Z),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
cnf(cls_Set_OUn__insert__right_0,axiom,
c_union(X,c_insert(Y,Z,U),U) = c_insert(Y,c_union(X,Z,U),U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__right_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_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(18,plain,
c_lessequals(X,X,tc_set(Y)),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0,clsarity_set_2]) ).
cnf(33,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X)),Y,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X,Y,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X)),tc_Message_Omsg),
inference('PARAMODULATE',[status(thm)],[cls_Message_Oanalz__synth__Un_0,cls_Message_Oanalz__analz__Un_0,theory(equality)]) ).
cnf(43,plain,
c_lessequals(X,c_union(Y,X,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_1,18]) ).
cnf(44,plain,
c_lessequals(X,c_union(X,Y,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_0,18]) ).
cnf(46,plain,
c_lessequals(X,c_insert(Y,X,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Oinsert__subset_1,18]) ).
cnf(47,plain,
c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Oinsert__subset_2,18,cls_conjecture_0]) ).
cnf(57,plain,
c_lessequals(c_insert(X,Y,Z),c_insert(X,c_union(U,Y,Z),Z),tc_set(Z)),
inference('PARAMODULATE',[status(thm)],[43,cls_Set_OUn__insert__right_0,theory(equality)]) ).
cnf(59,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_2,44,43]) ).
cnf(93,plain,
c_union(X,Y,Z) = c_union(Y,X,Z),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,59,59]) ).
cnf(112,plain,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_1,93,theory(equality)]),33,theory(equality)]) ).
cnf(205,plain,
c_Message_Osynth(c_Message_Oanalz(v_G)) = c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,47,46]) ).
cnf(206,plain,
c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X,tc_Message_Omsg) = c_insert(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X,tc_Message_Omsg),tc_Message_Omsg),
inference('PARAMODULATE',[status(thm)],[cls_Set_OUn__insert__left_0,205,theory(equality)]) ).
cnf(15560,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference('UR-RESOLVE',[status(thm)],[cls_Message_Oanalz__mono_0,112]) ).
cnf(16079,plain,
c_lessequals(c_insert(v_X,X,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference('PARAMODULATE',[status(thm)],[57,206,theory(equality)]) ).
cnf(16080,plain,
$false,
inference('REWRITE',[status(thm)],[15560,16079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV249-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 22:26:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T22:26:54
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-14T22:26:54
% 8.39/8.63
% 8.39/8.63
% 8.39/8.63 #||
% 8.39/8.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.39/8.63 % SZS output start Refutation
% See solution above
% 8.39/8.63 ||#
% 8.39/8.63
% 8.39/8.63 ; Summary of computation:
% 8.39/8.63 ; 43049 formulas have been input or derived (from 327 formulas).
% 8.39/8.63 ; 16080 (37%) were retained. Of these,
% 8.39/8.63 ; 390 ( 2%) were simplified or subsumed later,
% 8.39/8.63 ; 15690 (98%) are still being kept.
% 8.39/8.63 ;
% 8.39/8.63 ; Run time in seconds excluding printing time:
% 8.39/8.63 ; 0.004 0% Read assertion file (1 call)
% 8.39/8.63 ; 0.000 0% Assert (17 calls)
% 8.39/8.63 ; 1.582 19% Process new row (41,737 calls)
% 8.39/8.63 ; 2.035 25% Resolution (652 calls)
% 8.39/8.63 ; 0.264 3% Paramodulation (326 calls)
% 8.39/8.63 ; 0.004 0% Condensing (222 calls)
% 8.39/8.63 ; 0.013 0% Forward subsumption (222 calls)
% 8.39/8.63 ; 0.000 0% Backward subsumption (101 calls)
% 8.39/8.63 ; 0.001 0% Clause clause subsumption (556 calls)
% 8.39/8.63 ; 2.646 33% Forward simplification (40,647 calls)
% 8.39/8.63 ; 1.400 17% Backward simplification (16,080 calls)
% 8.39/8.63 ; 0.023 0% Ordering (9,341 calls)
% 8.39/8.63 ; 0.001 0% Sortal reasoning (32 calls)
% 8.39/8.63 ; 0.000 0% Purity testing (1 call)
% 8.39/8.63 ; 0.162 2% Other
% 8.39/8.63 ; 8.135 Total
% 8.39/8.63 ; 8.137 Real time
% 8.39/8.63 ;
% 8.39/8.63 ; Term-hash-array has 29,273 terms in all.
% 8.39/8.63 ; Feature-vector-row-index has 101 entries (101 at peak, 101 added, 0 deleted).
% 8.39/8.63 ; Feature-vector-row-index has 432 nodes (432 at peak, 432 added, 0 deleted).
% 8.39/8.63 ; Retrieved 626 possibly forward subsuming rows in 222 calls.
% 8.39/8.63 ; Retrieved 93 possibly backward subsumed rows in 101 calls.
% 8.39/8.63 ; Path-index has 28,719 entries (28,720 at peak, 29,337 added, 618 deleted).
% 8.39/8.63 ; Path-index has 27,041 nodes (27,041 at peak, 27,348 added, 307 deleted).
% 8.39/8.63 ; Trie-index has 28,719 entries (28,720 at peak, 29,337 added, 618 deleted).
% 8.39/8.63 ; Trie-index has 170,588 nodes (170,595 at peak, 174,233 added, 3,645 deleted).
% 8.39/8.63 ; Retrieved 1,074,495 generalization terms in 169,381 calls.
% 8.39/8.63 ; Retrieved 247,556 instance terms in 15,981 calls.
% 8.39/8.63 ; Retrieved 1,591,241 unifiable terms in 22,494 calls.
% 8.39/8.63 ;
% 8.39/8.63 ; The agenda of rows to process has 64 entries:
% 8.39/8.63 ; 3 with value 22 4 with value 28 8 with value 33
% 8.39/8.63 ; 3 with value 23 2 with value 29 4 with value 35
% 8.39/8.63 ; 5 with value 24 1 with value 30 7 with value 36
% 8.39/8.63 ; 7 with value 25 1 with value 31 1 with value 38
% 8.39/8.63 ; 7 with value 26 4 with value 32 2 with value 39
% 8.39/8.63 ; 5 with value 27
% 8.39/8.63 ; The agenda of rows to give has 15377 entries:
% 8.39/8.63 ; 1 with value (4 22) 865 with value (4 38) 64 with value (4 52)
% 8.39/8.63 ; 128 with value (4 25) 813 with value (4 39) 20 with value (4 53)
% 8.39/8.63 ; 224 with value (4 26) 652 with value (4 40) 88 with value (4 54)
% 8.39/8.63 ; 314 with value (4 27) 793 with value (4 41) 52 with value (4 55)
% 8.39/8.63 ; 454 with value (4 28) 541 with value (4 42) 124 with value (4 56)
% 8.39/8.63 ; 492 with value (4 29) 504 with value (4 43) 40 with value (4 57)
% 8.39/8.63 ; 586 with value (4 30) 259 with value (4 44) 32 with value (4 58)
% 8.39/8.63 ; 979 with value (4 31) 219 with value (4 45) 28 with value (4 59)
% 8.39/8.63 ; 1100 with value (4 32) 192 with value (4 46) 12 with value (4 60)
% 8.39/8.63 ; 972 with value (4 33) 362 with value (4 47) 8 with value (4 61)
% 8.39/8.63 ; 1230 with value (4 34) 273 with value (4 48) 76 with value (4 63)
% 8.39/8.63 ; 1004 with value (4 35) 90 with value (4 49) 60 with value (4 65)
% 8.39/8.63 ; 671 with value (4 36) 134 with value (4 50) 32 with value (4 67)
% 8.39/8.63 ; 849 with value (4 37) 16 with value (4 51) 24 with value (4 69)
% 8.39/8.63 Evaluation took:
% 8.39/8.63 8.139 seconds of real time
% 8.39/8.63 7.731136 seconds of user run time
% 8.39/8.63 0.407779 seconds of system run time
% 8.39/8.63 [Run times include 1.275 seconds GC run time.]
% 8.39/8.63 0 calls to %EVAL
% 8.39/8.63 0 page faults and
% 8.39/8.63 537,296,864 bytes consed.
% 8.39/8.63 :PROOF-FOUND
% 8.39/8.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T22:27:02
% 8.39/8.63 :PROOF-FOUND
% 8.39/8.63 *
%------------------------------------------------------------------------------