TSTP Solution File: SWV260-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV260-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 21:32:23 EDT 2022
% Result : Unsatisfiable 0.48s 0.65s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 15 unt; 5 nHn; 18 RR)
% Number of literals : 37 ( 3 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 28 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( ~ c_in(X,Y,tc_Message_Omsg)
| c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(cls_Set_OUnCI_0,axiom,
( ~ c_in(X,Y,Z)
| c_in(X,c_union(U,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
cnf(cls_Set_OUnCI_1,axiom,
( ~ c_in(X,Y,Z)
| c_in(X,c_union(Y,U,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
cnf(cls_Set_OinsertE_0,axiom,
( ~ c_in(X,c_insert(Y,Z,U),U)
| c_in(X,Z,U)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X,Y,Z),X,Z)
| c_lessequals(X,Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X,Y,Z),Y,Z)
| c_lessequals(X,Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Message_Oparts__trans_0,axiom,
( ~ c_in(X,c_Message_Oparts(Y),tc_Message_Omsg)
| ~ c_lessequals(Y,c_Message_Oparts(Z),tc_set(tc_Message_Omsg))
| c_in(X,c_Message_Oparts(Z),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__trans_0) ).
cnf(18,plain,
~ c_lessequals(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts__trans_0,cls_conjecture_0,cls_conjecture_2]) ).
cnf(19,plain,
( c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(X),tc_Message_Omsg),v_H,tc_Message_Omsg)
| c_in(v_X,c_Message_Oparts(X),tc_Message_Omsg) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts__trans_0,cls_conjecture_1,cls_Set_OsubsetI_0]) ).
cnf(62,plain,
c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_G,tc_Message_Omsg),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[18,cls_Set_OsubsetI_0]) ).
cnf(63,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetI_1,18]) ).
cnf(111,plain,
( c_in(v_X,c_Message_Oparts(X),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(X),tc_Message_Omsg),c_union(Y,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnCI_0,19]) ).
cnf(286,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OinsertE_0,62]) ).
cnf(390,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,63]) ).
cnf(480,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OUnCI_1,390]) ).
cnf(481,plain,
c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X,
inference('REWRITE',[status(thm)],[286,480]) ).
cnf(483,plain,
~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference('REWRITE',[status(thm)],[63,481,theory(equality)]) ).
cnf(490,plain,
~ c_lessequals(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts__trans_0,483,cls_conjecture_1]) ).
cnf(500,plain,
c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[111,483]) ).
cnf(543,plain,
~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetI_1,490]) ).
cnf(593,plain,
c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,500]) ).
cnf(594,plain,
$false,
inference('REWRITE',[status(thm)],[543,593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV260-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 10:21:51 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 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 2022-06-15T10:21:51
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-15T10:21:51
% 0.48/0.65
% 0.48/0.65
% 0.48/0.65 #||
% 0.48/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.65 % SZS output start Refutation
% See solution above
% 0.48/0.65 ||#
% 0.48/0.65
% 0.48/0.65 ; Summary of computation:
% 0.48/0.65 ; 1031 formulas have been input or derived (from 171 formulas).
% 0.48/0.65 ; 594 (58%) were retained. Of these,
% 0.48/0.65 ; 10 ( 2%) were simplified or subsumed later,
% 0.48/0.65 ; 584 (98%) are still being kept.
% 0.48/0.65 ;
% 0.48/0.65 ; Run time in seconds excluding printing time:
% 0.48/0.65 ; 0.002 1% Read assertion file (1 call)
% 0.48/0.65 ; 0.001 1% Assert (10 calls)
% 0.48/0.65 ; 0.055 34% Process new row (884 calls)
% 0.48/0.65 ; 0.025 16% Resolution (340 calls)
% 0.48/0.65 ; 0.003 2% Paramodulation (170 calls)
% 0.48/0.65 ; 0.000 0% Factoring (8 calls)
% 0.48/0.65 ; 0.001 1% Condensing (98 calls)
% 0.48/0.65 ; 0.010 6% Forward subsumption (98 calls)
% 0.48/0.65 ; 0.003 2% Backward subsumption (98 calls)
% 0.48/0.65 ; 0.000 0% Clause clause subsumption (221 calls)
% 0.48/0.65 ; 0.022 14% Forward simplification (884 calls)
% 0.48/0.65 ; 0.007 4% Backward simplification (594 calls)
% 0.48/0.65 ; 0.000 0% Ordering (117 calls)
% 0.48/0.65 ; 0.001 1% Sortal reasoning (32 calls)
% 0.48/0.65 ; 0.000 0% Purity testing (1 call)
% 0.48/0.65 ; 0.030 19% Other
% 0.48/0.65 ; 0.160 Total
% 0.48/0.65 ; 0.163 Real time
% 0.48/0.65 ;
% 0.48/0.65 ; Term-hash-array has 1,199 terms in all.
% 0.48/0.65 ; Feature-vector-row-index has 97 entries (97 at peak, 98 added, 1 deleted).
% 0.48/0.65 ; Feature-vector-row-index has 554 nodes (554 at peak, 580 added, 26 deleted).
% 0.48/0.65 ; Retrieved 140 possibly forward subsuming rows in 98 calls.
% 0.48/0.65 ; Retrieved 81 possibly backward subsumed rows in 98 calls.
% 0.48/0.65 ; Path-index has 1,195 entries (1,196 at peak, 1,207 added, 12 deleted).
% 0.48/0.65 ; Path-index has 4,460 nodes (4,460 at peak, 4,480 added, 20 deleted).
% 0.48/0.65 ; Trie-index has 1,195 entries (1,196 at peak, 1,207 added, 12 deleted).
% 0.48/0.65 ; Trie-index has 7,793 nodes (7,797 at peak, 7,864 added, 71 deleted).
% 0.48/0.65 ; Retrieved 289 generalization terms in 1,018 calls.
% 0.48/0.65 ; Retrieved 496 instance terms in 495 calls.
% 0.48/0.65 ; Retrieved 2,928 unifiable terms in 2,427 calls.
% 0.48/0.65 ;
% 0.48/0.65 ; The agenda of rows to process has 4 entries:
% 0.48/0.65 ; 4 with value 25
% 0.48/0.65 ; The agenda of rows to give has 416 entries:
% 0.48/0.65 ; 5 with value (4 21) 66 with value (4 28) 4 with value (4 36)
% 0.48/0.65 ; 11 with value (4 22) 48 with value (4 29) 4 with value (4 37)
% 0.48/0.65 ; 9 with value (4 23) 4 with value (4 30) 11 with value (4 38)
% 0.48/0.65 ; 15 with value (4 24) 3 with value (4 31) 5 with value (4 41)
% 0.48/0.65 ; 57 with value (4 25) 3 with value (4 32) 20 with value (4 42)
% 0.48/0.65 ; 60 with value (4 26) 2 with value (4 33) 4 with value (4 45)
% 0.48/0.65 ; 75 with value (4 27) 10 with value (4 34)
% 0.48/0.65 Evaluation took:
% 0.48/0.65 0.164 seconds of real time
% 0.48/0.65 0.14415 seconds of user run time
% 0.48/0.65 0.019694 seconds of system run time
% 0.48/0.65 0 calls to %EVAL
% 0.48/0.65 0 page faults and
% 0.48/0.65 11,888,360 bytes consed.
% 0.48/0.65 :PROOF-FOUND
% 0.48/0.65 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T10:21:51
% 0.48/0.65 :PROOF-FOUND
% 0.48/0.65 *
%------------------------------------------------------------------------------