TSTP Solution File: HWV068-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HWV068-1 : TPTP v8.1.0. Bugfixed v5.5.1.
% 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 : Sat Jul 16 19:11:37 EDT 2022
% Result : Unsatisfiable 37.32s 37.55s
% Output : Refutation 37.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 34 ( 17 unt; 2 nHn; 34 RR)
% Number of literals : 74 ( 0 equ; 50 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 3 prp; 0-4 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 80 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3266,axiom,
( esk16516_4(X,Y,Z,U)
| ~ esk17157_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3266) ).
cnf(i_0_4556,axiom,
esk2_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_4556) ).
cnf(i_0_14736,axiom,
( ~ p(X)
| ~ esk16333_4(Y,Z,X,U)
| ~ p(Z)
| esk1_0
| ~ p(Y)
| ~ p(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_14736) ).
cnf(i_0_20513,axiom,
( ~ esk17504_4(X,Y,Z,U)
| esk16333_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_20513) ).
cnf(i_0_21184,axiom,
~ esk16516_4(X,Y,Z,U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_21184) ).
cnf(i_0_22074,axiom,
( esk17564_4(X,Y,Z,U)
| ~ esk17148_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_22074) ).
cnf(i_0_25870,axiom,
( ~ esk16349_4(X,Y,Z,U)
| esk16348_4(X,Y,Z,U)
| esk16347_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_25870) ).
cnf(i_0_26220,axiom,
( esk17148_4(X,Y,Z,U)
| ~ esk16347_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_26220) ).
cnf(i_0_32779,axiom,
( ~ esk16348_4(X,Y,Z,U)
| esk17504_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_32779) ).
cnf(i_0_33259,axiom,
( esk16221_4(X,Y,Z,U)
| esk16220_4(X,Y,Z,U)
| ~ esk16222_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_33259) ).
cnf(i_0_34555,axiom,
( ~ p(X)
| ~ p(Y)
| ~ p(Z)
| esk17147_4(X,U,Y,Z)
| ~ esk2_0
| ~ p(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_34555) ).
cnf(34511,plain,
( ~ p(X)
| ~ p(Y)
| ~ p(Z)
| esk17147_4(X,U,Y,Z)
| ~ p(U) ),
inference('REWRITE',[status(thm)],[i_0_34555,i_0_4556]) ).
cnf(i_0_37238,axiom,
~ esk1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_37238) ).
cnf(i_0_41865,axiom,
( ~ esk16221_4(X,Y,Z,U)
| esk17157_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_41865) ).
cnf(i_0_43176,axiom,
( ~ p(X)
| esk1_0
| ~ p(Y)
| ~ esk17564_4(Y,Z,U,X)
| ~ p(U)
| ~ p(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_43176) ).
cnf(43125,plain,
( ~ p(X)
| ~ p(Y)
| ~ esk17564_4(Y,Z,U,X)
| ~ p(U)
| ~ p(Z) ),
inference('REWRITE',[status(thm)],[i_0_43176,i_0_37238]) ).
cnf(i_0_45914,axiom,
( ~ esk17147_4(X,Y,Z,U)
| esk16222_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_45914) ).
cnf(i_0_47728,axiom,
( esk16349_4(X,Y,Z,U)
| ~ esk16220_4(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_47728) ).
cnf(rule_true,axiom,
p(true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_true) ).
cnf(52112,plain,
( ~ p(X)
| ~ esk16333_4(Y,Z,X,U)
| ~ p(Z)
| ~ p(Y)
| ~ p(U) ),
inference('REWRITE',[status(thm)],[i_0_14736,i_0_37238]) ).
cnf(53338,plain,
~ esk17157_4(X,Y,Z,U),
inference('REWRITE',[status(thm)],[i_0_3266,i_0_21184]) ).
cnf(53347,plain,
~ esk16221_4(X,Y,Z,U),
inference('REWRITE',[status(thm)],[i_0_41865,53338]) ).
cnf(53348,plain,
( esk16220_4(X,Y,Z,U)
| ~ esk16222_4(X,Y,Z,U) ),
inference('REWRITE',[status(thm)],[i_0_33259,53347]) ).
cnf(60115,plain,
esk17147_4(true,true,true,true),
inference('HYPERRESOLVE',[status(thm)],[34511,rule_true,rule_true,rule_true,rule_true]) ).
cnf(60207,plain,
~ esk17564_4(true,true,true,true),
inference('UR-RESOLVE',[status(thm)],[43125,rule_true,rule_true,rule_true,rule_true]) ).
cnf(60310,plain,
~ esk16333_4(true,true,true,true),
inference('UR-RESOLVE',[status(thm)],[52112,rule_true,rule_true,rule_true,rule_true]) ).
cnf(60933,plain,
esk16222_4(true,true,true,true),
inference('HYPERRESOLVE',[status(thm)],[i_0_45914,60115]) ).
cnf(61048,plain,
~ esk17148_4(true,true,true,true),
inference('UR-RESOLVE',[status(thm)],[i_0_22074,60207]) ).
cnf(61218,plain,
~ esk17504_4(true,true,true,true),
inference('UR-RESOLVE',[status(thm)],[i_0_20513,60310]) ).
cnf(61410,plain,
esk16220_4(true,true,true,true),
inference('HYPERRESOLVE',[status(thm)],[53348,60933]) ).
cnf(61451,plain,
~ esk16347_4(true,true,true,true),
inference('UR-RESOLVE',[status(thm)],[i_0_26220,61048]) ).
cnf(61572,plain,
~ esk16348_4(true,true,true,true),
inference('UR-RESOLVE',[status(thm)],[i_0_32779,61218]) ).
cnf(61754,plain,
esk16349_4(true,true,true,true),
inference('HYPERRESOLVE',[status(thm)],[i_0_47728,61410]) ).
cnf(62030,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[i_0_25870,61572,61451]),61754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : HWV068-1 : TPTP v8.1.0. Bugfixed v5.5.1.
% 0.08/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Fri Jun 17 00:32:50 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T00:32:50
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-17T00:32:50
% 37.32/37.55
% 37.32/37.55
% 37.32/37.55 #||
% 37.32/37.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.32/37.55 % SZS output start Refutation
% See solution above
% 37.32/37.55 ||#
% 37.32/37.55
% 37.32/37.55 ; Summary of computation:
% 37.32/37.55 ; 75963 formulas have been input or derived (from 43782 formulas).
% 37.32/37.55 ; 62030 (82%) were retained. Of these,
% 37.32/37.55 ; 10944 (18%) were simplified or subsumed later,
% 37.32/37.55 ; 51086 (82%) are still being kept.
% 37.32/37.55 ;
% 37.32/37.55 ; Run time in seconds excluding printing time:
% 37.32/37.55 ; 3.990 11% Read assertion file (1 call)
% 37.32/37.55 ; 0.812 2% Assert (49,913 calls)
% 37.32/37.55 ; 2.686 7% Process new row (71,923 calls)
% 37.32/37.55 ; 19.961 54% Resolution (87,562 calls)
% 37.32/37.55 ; 0.085 0% Paramodulation (43,781 calls)
% 37.32/37.55 ; 0.009 0% Factoring (3,376 calls)
% 37.32/37.55 ; 0.516 1% Condensing (65,583 calls)
% 37.32/37.55 ; 1.881 5% Forward subsumption (65,583 calls)
% 37.32/37.55 ; 4.662 13% Backward subsumption (57,424 calls)
% 37.32/37.55 ; 0.007 0% Clause clause subsumption (8,159 calls)
% 37.32/37.55 ; 0.493 1% Forward simplification (71,923 calls)
% 37.32/37.55 ; 0.972 3% Backward simplification (60,774 calls)
% 37.32/37.55 ; 0.112 0% Ordering (18,537 calls)
% 37.32/37.55 ; 0.000 0% Sortal reasoning (32 calls)
% 37.32/37.55 ; 0.236 1% Purity testing (1 call)
% 37.32/37.55 ; 0.632 2% Other
% 37.32/37.55 ; 37.054 Total
% 37.32/37.55 ; 37.060 Real time
% 37.32/37.56 ;
% 37.32/37.56 ; Term-hash-array has 20,971 terms in all.
% 37.32/37.56 ; Feature-vector-row-index has 47,736 entries (47,738 at peak, 57,424 added, 9,688 deleted).
% 37.32/37.56 ; Feature-vector-row-index has 3,588 nodes (3,594 at peak, 3,813 added, 225 deleted).
% 37.32/37.56 ; Retrieved 9,144,031 possibly forward subsuming rows in 65,583 calls.
% 37.32/37.56 ; Retrieved 8,901,348 possibly backward subsumed rows in 57,424 calls.
% 37.32/37.56 ; Path-index has 22,296 entries (22,296 at peak, 22,595 added, 299 deleted).
% 37.32/37.56 ; Path-index has 157,746 nodes (157,746 at peak, 158,654 added, 908 deleted).
% 37.32/37.56 ; Trie-index has 22,296 entries (22,296 at peak, 22,595 added, 299 deleted).
% 37.32/37.56 ; Trie-index has 91,380 nodes (91,380 at peak, 92,513 added, 1,133 deleted).
% 37.32/37.56 ; Retrieved 4,273 generalization terms in 6,114 calls.
% 37.32/37.56 ; Retrieved 3,349 instance terms in 3,349 calls.
% 37.32/37.56 ; Retrieved 501,517 unifiable terms in 208,495 calls.
% 37.32/37.56 ;
% 37.32/37.56 ; The agenda of rows to give has 7304 entries:
% 37.32/37.56 ; 99 with value (4 9) 5961 with value (4 13) 53 with value (4 16)
% 37.32/37.56 ; 296 with value (4 10) 210 with value (4 14) 140 with value (4 17)
% 37.32/37.56 ; 140 with value (4 11) 82 with value (4 15) 323 with value (4 19)
% 37.32/37.56 Evaluation took:
% 37.32/37.56 37.061 seconds of real time
% 37.32/37.56 35.840244 seconds of user run time
% 37.32/37.56 1.216839 seconds of system run time
% 37.32/37.56 [Run times include 2.454 seconds GC run time.]
% 37.32/37.56 0 calls to %EVAL
% 37.32/37.56 0 page faults and
% 37.32/37.56 1,226,456,016 bytes consed.
% 37.32/37.56 :PROOF-FOUND
% 37.32/37.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T00:33:27
% 37.32/37.56 :PROOF-FOUND
% 37.32/37.56 *
%------------------------------------------------------------------------------