TSTP Solution File: KRS116+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 03:28:37 EDT 2022
% Result : Unsatisfiable 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 33 ( 17 unt; 0 nHn; 33 RR)
% Number of literals : 55 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 27 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ cUnsatisfiable(X)
| ca(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(5,axiom,
( ~ cUnsatisfiable(X)
| rs(X,'SKOLEMAAAR1'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(6,axiom,
( ~ cUnsatisfiable(X)
| ca_Ax2('SKOLEMAAAR1'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(7,axiom,
( ~ ca(X)
| ~ ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(9,axiom,
( ~ caxcomp(X)
| ra_Px1(X,'SKOLEMAAAR3'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(11,axiom,
( ~ cc(X)
| ~ rinvR(X,Y)
| ca_Vx7(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(14,axiom,
( ~ ca_Ax2(X)
| ~ rp(X,Y)
| ca_Vx3(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(15,axiom,
( ~ ca_Ax2(X)
| ~ rp(X,Y)
| ca_Vx5(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(18,axiom,
( ~ ca_Ax2(X)
| rp(X,'SKOLEMAAAR6'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(52,axiom,
( ~ ca_Vx3(X)
| rr(X,'SKOLEMAAAR11'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(58,axiom,
( ~ ca_Vx5(X)
| ~ rr(X,Y)
| cc(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
cnf(61,axiom,
( ~ ca_Vx6(X)
| ~ rinvS(X,Y)
| caxcomp(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
cnf(64,axiom,
( ~ ca_Vx7(X)
| ~ rinvP(X,Y)
| ca_Vx6(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
cnf(68,axiom,
( rinvP(X,Y)
| ~ rp(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
cnf(70,axiom,
( rinvR(X,Y)
| ~ rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
cnf(72,axiom,
( rinvS(X,Y)
| ~ rs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
cnf(74,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
cnf(75,plain,
ca(i2003_11_14_17_21_33997),
inference('HYPERRESOLVE',[status(thm)],[4,74]) ).
cnf(76,plain,
ca_Ax2('SKOLEMAAAR1'(i2003_11_14_17_21_33997)),
inference('HYPERRESOLVE',[status(thm)],[6,74]) ).
cnf(77,plain,
rs(i2003_11_14_17_21_33997,'SKOLEMAAAR1'(i2003_11_14_17_21_33997)),
inference('HYPERRESOLVE',[status(thm)],[5,74]) ).
cnf(84,plain,
~ ra_Px1(i2003_11_14_17_21_33997,X),
inference('UR-RESOLVE',[status(thm)],[7,75]) ).
cnf(85,plain,
rp('SKOLEMAAAR1'(i2003_11_14_17_21_33997),'SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997))),
inference('HYPERRESOLVE',[status(thm)],[18,76]) ).
cnf(88,plain,
~ caxcomp(i2003_11_14_17_21_33997),
inference('UR-RESOLVE',[status(thm)],[9,84]) ).
cnf(89,plain,
rinvS('SKOLEMAAAR1'(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997),
inference('HYPERRESOLVE',[status(thm)],[72,77]) ).
cnf(92,plain,
~ ca_Vx6('SKOLEMAAAR1'(i2003_11_14_17_21_33997)),
inference('UR-RESOLVE',[status(thm)],[61,89,88]) ).
cnf(109,plain,
ca_Vx5('SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997))),
inference('HYPERRESOLVE',[status(thm)],[15,85,76]) ).
cnf(110,plain,
ca_Vx3('SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997))),
inference('HYPERRESOLVE',[status(thm)],[14,85,76]) ).
cnf(111,plain,
rinvP('SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997)),'SKOLEMAAAR1'(i2003_11_14_17_21_33997)),
inference('HYPERRESOLVE',[status(thm)],[68,85]) ).
cnf(115,plain,
rr('SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997)),'SKOLEMAAAR11'('SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997)))),
inference('HYPERRESOLVE',[status(thm)],[52,110]) ).
cnf(121,plain,
~ ca_Vx7('SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997))),
inference('UR-RESOLVE',[status(thm)],[64,111,92]) ).
cnf(168,plain,
cc('SKOLEMAAAR11'('SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997)))),
inference('HYPERRESOLVE',[status(thm)],[58,115,109]) ).
cnf(169,plain,
rinvR('SKOLEMAAAR11'('SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997))),'SKOLEMAAAR6'('SKOLEMAAAR1'(i2003_11_14_17_21_33997))),
inference('HYPERRESOLVE',[status(thm)],[70,115]) ).
cnf(179,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,168,121]),169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.09/0.28 % Computer : n026.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Tue Jun 7 17:48:31 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 *
% 0.13/0.38 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T17:48:31
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-07T17:48:31
% 0.13/0.40 WARNING:
% 0.13/0.40 |cowlNothing| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.13/0.44
% 0.13/0.44
% 0.13/0.44 #||
% 0.13/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44 % SZS output start Refutation
% See solution above
% 0.13/0.45 ||#
% 0.13/0.45
% 0.13/0.45 ; Summary of computation:
% 0.13/0.45 ; 380 formulas have been input or derived (from 113 formulas).
% 0.13/0.45 ; 179 (47%) were retained. Of these,
% 0.13/0.45 ; 20 (11%) were simplified or subsumed later,
% 0.13/0.45 ; 159 (89%) are still being kept.
% 0.13/0.45 ;
% 0.13/0.45 ; Run time in seconds excluding printing time:
% 0.13/0.45 ; 0.004 6% Read assertion file (1 call)
% 0.13/0.45 ; 0.002 3% Assert (18 calls)
% 0.13/0.45 ; 0.015 24% Process new row (296 calls)
% 0.13/0.45 ; 0.006 10% Resolution (224 calls)
% 0.13/0.45 ; 0.001 2% Paramodulation (112 calls)
% 0.13/0.45 ; 0.000 0% Factoring (20 calls)
% 0.13/0.45 ; 0.001 2% Condensing (106 calls)
% 0.13/0.45 ; 0.002 3% Forward subsumption (106 calls)
% 0.13/0.45 ; 0.001 2% Backward subsumption (91 calls)
% 0.13/0.45 ; 0.000 0% Clause clause subsumption (47 calls)
% 0.13/0.45 ; 0.005 8% Forward simplification (293 calls)
% 0.13/0.45 ; 0.004 6% Backward simplification (161 calls)
% 0.13/0.45 ; 0.001 2% Ordering (157 calls)
% 0.13/0.45 ; 0.000 0% Sortal reasoning (32 calls)
% 0.13/0.45 ; 0.001 2% Purity testing (1 call)
% 0.13/0.45 ; 0.019 31% Other
% 0.13/0.45 ; 0.062 Total
% 0.13/0.45 ; 0.065 Real time
% 0.13/0.45 ;
% 0.13/0.45 ; Term-hash-array has 216 terms in all.
% 0.13/0.45 ; Feature-vector-row-index has 89 entries (89 at peak, 91 added, 2 deleted).
% 0.13/0.45 ; Feature-vector-row-index has 464 nodes (464 at peak, 484 added, 20 deleted).
% 0.13/0.45 ; Retrieved 70 possibly forward subsuming rows in 106 calls.
% 0.13/0.45 ; Retrieved 17 possibly backward subsumed rows in 91 calls.
% 0.13/0.45 ; Path-index has 213 entries (213 at peak, 217 added, 4 deleted).
% 0.13/0.45 ; Path-index has 522 nodes (522 at peak, 526 added, 4 deleted).
% 0.13/0.45 ; Trie-index has 213 entries (213 at peak, 217 added, 4 deleted).
% 0.13/0.45 ; Trie-index has 571 nodes (571 at peak, 582 added, 11 deleted).
% 0.13/0.45 ; Retrieved 162 generalization terms in 600 calls.
% 0.13/0.45 ; Retrieved 69 instance terms in 69 calls.
% 0.13/0.45 ; Retrieved 3,448 unifiable terms in 1,320 calls.
% 0.13/0.45 ;
% 0.13/0.45 ; The agenda of rows to process has 2 entries:
% 0.13/0.45 ; 1 with value 19 1 with value 26
% 0.13/0.45 ; The agenda of rows to give has 47 entries:
% 0.13/0.45 ; 9 with value (4 16) 1 with value (4 50) 2 with value (4 57)
% 0.13/0.45 ; 6 with value (4 17) 1 with value (4 51) 1 with value (4 58)
% 0.13/0.45 ; 8 with value (4 18) 1 with value (4 52) 1 with value (4 59)
% 0.13/0.45 ; 2 with value (4 19) 1 with value (4 53) 2 with value (4 60)
% 0.13/0.45 ; 1 with value (4 20) 3 with value (4 55) 2 with value (4 61)
% 0.13/0.45 ; 3 with value (4 22) 1 with value (4 56) 1 with value (4 62)
% 0.13/0.45 ; 1 with value (4 49)
% 0.13/0.45 Evaluation took:
% 0.13/0.45 0.065 seconds of real time
% 0.13/0.45 0.062564 seconds of user run time
% 0.13/0.45 0.003034 seconds of system run time
% 0.13/0.45 0 calls to %EVAL
% 0.13/0.45 0 page faults and
% 0.13/0.45 5,474,352 bytes consed.
% 0.13/0.45 :PROOF-FOUND
% 0.13/0.45 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T17:48:31
% 0.13/0.45 :PROOF-FOUND
% 0.13/0.45 *
%------------------------------------------------------------------------------