TSTP Solution File: KRS084+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : Sun Jul 17 03:28:31 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 26 ( 14 unt; 0 nHn; 26 RR)
% Number of literals : 42 ( 3 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != Y
| ~ cc(X)
| cc(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).
cnf(20,axiom,
( ~ cUnsatisfiable(X)
| rinvF(X,'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(21,axiom,
( ~ cUnsatisfiable(X)
| cd('SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(22,axiom,
( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| rinvF(Y,'SKOLEMAAAV2'(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(23,axiom,
( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| cd('SKOLEMAAAV2'(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(27,axiom,
( ~ cd(X)
| rf(X,'SKOLEMAAAV4'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(28,axiom,
( ~ cd(X)
| ~ cc('SKOLEMAAAV4'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(29,axiom,
( ~ cd(X)
| cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(31,axiom,
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(32,axiom,
( ~ rinvF(X,Y)
| rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(35,axiom,
( rinvR(X,Y)
| ~ rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(37,axiom,
cUnsatisfiable(i2003_11_14_17_19_35232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(38,axiom,
( ~ rf(X,Y)
| rr(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
cnf(40,plain,
cd('SKOLEMAAAV1'(i2003_11_14_17_19_35232)),
inference('HYPERRESOLVE',[status(thm)],[21,37]) ).
cnf(41,plain,
rinvF(i2003_11_14_17_19_35232,'SKOLEMAAAV1'(i2003_11_14_17_19_35232)),
inference('HYPERRESOLVE',[status(thm)],[20,37]) ).
cnf(43,plain,
cc('SKOLEMAAAV1'(i2003_11_14_17_19_35232)),
inference('HYPERRESOLVE',[status(thm)],[29,40]) ).
cnf(47,plain,
rf('SKOLEMAAAV1'(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference('HYPERRESOLVE',[status(thm)],[32,41]) ).
cnf(49,plain,
rr('SKOLEMAAAV1'(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference('HYPERRESOLVE',[status(thm)],[38,47]) ).
cnf(53,plain,
rinvR(i2003_11_14_17_19_35232,'SKOLEMAAAV1'(i2003_11_14_17_19_35232)),
inference('HYPERRESOLVE',[status(thm)],[35,49]) ).
cnf(54,plain,
cd('SKOLEMAAAV2'('SKOLEMAAAV1'(i2003_11_14_17_19_35232))),
inference('HYPERRESOLVE',[status(thm)],[23,53,37]) ).
cnf(55,plain,
rinvF('SKOLEMAAAV1'(i2003_11_14_17_19_35232),'SKOLEMAAAV2'('SKOLEMAAAV1'(i2003_11_14_17_19_35232))),
inference('HYPERRESOLVE',[status(thm)],[22,53,37]) ).
cnf(60,plain,
~ cc('SKOLEMAAAV4'('SKOLEMAAAV2'('SKOLEMAAAV1'(i2003_11_14_17_19_35232)))),
inference('UR-RESOLVE',[status(thm)],[28,54]) ).
cnf(61,plain,
rf('SKOLEMAAAV2'('SKOLEMAAAV1'(i2003_11_14_17_19_35232)),'SKOLEMAAAV4'('SKOLEMAAAV2'('SKOLEMAAAV1'(i2003_11_14_17_19_35232)))),
inference('HYPERRESOLVE',[status(thm)],[27,54]) ).
cnf(63,plain,
rf('SKOLEMAAAV2'('SKOLEMAAAV1'(i2003_11_14_17_19_35232)),'SKOLEMAAAV1'(i2003_11_14_17_19_35232)),
inference('HYPERRESOLVE',[status(thm)],[32,55]) ).
cnf(67,plain,
'SKOLEMAAAV1'(i2003_11_14_17_19_35232) != 'SKOLEMAAAV4'('SKOLEMAAAV2'('SKOLEMAAAV1'(i2003_11_14_17_19_35232))),
inference('UR-RESOLVE',[status(thm)],[2,60,43]) ).
cnf(80,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[31,61,63]),67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 07:32:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-07T07:32:07
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-07T07:32:07
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 281 formulas have been input or derived (from 72 formulas).
% 0.20/0.52 ; 80 (28%) were retained. Of these,
% 0.20/0.52 ; 6 ( 8%) were simplified or subsumed later,
% 0.20/0.52 ; 74 (92%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.005 11% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 2% Assert (25 calls)
% 0.20/0.52 ; 0.003 6% Process new row (206 calls)
% 0.20/0.52 ; 0.003 6% Resolution (142 calls)
% 0.20/0.52 ; 0.001 2% Paramodulation (71 calls)
% 0.20/0.52 ; 0.000 0% Factoring (1 call)
% 0.20/0.52 ; 0.002 4% Condensing (38 calls)
% 0.20/0.52 ; 0.001 2% Forward subsumption (38 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (35 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.20/0.52 ; 0.001 2% Forward simplification (198 calls)
% 0.20/0.52 ; 0.001 2% Backward simplification (80 calls)
% 0.20/0.52 ; 0.000 0% Ordering (7 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.001 2% Purity testing (1 call)
% 0.20/0.52 ; 0.028 60% Other
% 0.20/0.52 ; 0.047 Total
% 0.20/0.52 ; 0.050 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 98 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 33 entries (33 at peak, 35 added, 2 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 65 nodes (65 at peak, 71 added, 6 deleted).
% 0.20/0.52 ; Retrieved 8 possibly forward subsuming rows in 38 calls.
% 0.20/0.52 ; Retrieved 7 possibly backward subsumed rows in 35 calls.
% 0.20/0.52 ; Path-index has 93 entries (93 at peak, 99 added, 6 deleted).
% 0.20/0.52 ; Path-index has 156 nodes (156 at peak, 159 added, 3 deleted).
% 0.20/0.52 ; Trie-index has 93 entries (93 at peak, 99 added, 6 deleted).
% 0.20/0.52 ; Trie-index has 179 nodes (179 at peak, 190 added, 11 deleted).
% 0.20/0.52 ; Retrieved 135 generalization terms in 190 calls.
% 0.20/0.52 ; Retrieved 46 instance terms in 44 calls.
% 0.20/0.52 ; Retrieved 2,488 unifiable terms in 885 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 12 entries:
% 0.20/0.52 ; 2 with value 18 3 with value 20 1 with value 23
% 0.20/0.52 ; 6 with value 19
% 0.20/0.52 ; The agenda of rows to give has 5 entries:
% 0.20/0.52 ; 2 with value (4 18) 2 with value (4 19) 1 with value (4 22)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.05 seconds of real time
% 0.20/0.52 0.042046 seconds of user run time
% 0.20/0.52 0.008749 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,688,640 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T07:32:07
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------