TSTP Solution File: KRS118+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS118+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 0.22s 0.58s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 32 ( 17 unt; 0 nHn; 32 RR)
% Number of literals : 50 ( 3 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 24 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( X != Y
| ~ ccxcomp(X)
| ccxcomp(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ccxcomp_substitution_1) ).
cnf(24,axiom,
( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| ca_Vx3(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(25,axiom,
( ~ cUnsatisfiable(X)
| rinvF(X,'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(26,axiom,
( ~ cUnsatisfiable(X)
| cd('SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(30,axiom,
( ~ cc(X)
| ~ ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(32,axiom,
( ~ ccxcomp(X)
| ra_Px1(X,'SKOLEMAAAV4'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(34,axiom,
( ~ cd(X)
| rf(X,'SKOLEMAAAV5'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(35,axiom,
( ~ cd(X)
| ccxcomp('SKOLEMAAAV5'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(36,axiom,
( ~ cd(X)
| cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(38,axiom,
( ~ ca_Vx3(X)
| rinvF(X,'SKOLEMAAAV6'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(39,axiom,
( ~ ca_Vx3(X)
| cd('SKOLEMAAAV6'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(41,axiom,
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(42,axiom,
( ~ rinvF(X,Y)
| rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(45,axiom,
( rinvR(X,Y)
| ~ rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
cnf(47,axiom,
cUnsatisfiable(i2003_11_14_17_21_4056),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
cnf(48,axiom,
( ~ rf(X,Y)
| rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
cnf(50,plain,
cd('SKOLEMAAAV1'(i2003_11_14_17_21_4056)),
inference('HYPERRESOLVE',[status(thm)],[26,47]) ).
cnf(51,plain,
rinvF(i2003_11_14_17_21_4056,'SKOLEMAAAV1'(i2003_11_14_17_21_4056)),
inference('HYPERRESOLVE',[status(thm)],[25,47]) ).
cnf(54,plain,
cc('SKOLEMAAAV1'(i2003_11_14_17_21_4056)),
inference('HYPERRESOLVE',[status(thm)],[36,50]) ).
cnf(58,plain,
rf('SKOLEMAAAV1'(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056),
inference('HYPERRESOLVE',[status(thm)],[42,51]) ).
cnf(62,plain,
~ ra_Px1('SKOLEMAAAV1'(i2003_11_14_17_21_4056),X),
inference('UR-RESOLVE',[status(thm)],[30,54]) ).
cnf(67,plain,
rr('SKOLEMAAAV1'(i2003_11_14_17_21_4056),i2003_11_14_17_21_4056),
inference('HYPERRESOLVE',[status(thm)],[48,58]) ).
cnf(74,plain,
~ ccxcomp('SKOLEMAAAV1'(i2003_11_14_17_21_4056)),
inference('UR-RESOLVE',[status(thm)],[32,62]) ).
cnf(75,plain,
rinvR(i2003_11_14_17_21_4056,'SKOLEMAAAV1'(i2003_11_14_17_21_4056)),
inference('HYPERRESOLVE',[status(thm)],[45,67]) ).
cnf(82,plain,
ca_Vx3('SKOLEMAAAV1'(i2003_11_14_17_21_4056)),
inference('HYPERRESOLVE',[status(thm)],[24,75,47]) ).
cnf(83,plain,
cd('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_4056))),
inference('HYPERRESOLVE',[status(thm)],[39,82]) ).
cnf(84,plain,
rinvF('SKOLEMAAAV1'(i2003_11_14_17_21_4056),'SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_4056))),
inference('HYPERRESOLVE',[status(thm)],[38,82]) ).
cnf(102,plain,
ccxcomp('SKOLEMAAAV5'('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_4056)))),
inference('HYPERRESOLVE',[status(thm)],[35,83]) ).
cnf(103,plain,
rf('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_4056)),'SKOLEMAAAV5'('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_4056)))),
inference('HYPERRESOLVE',[status(thm)],[34,83]) ).
cnf(107,plain,
rf('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_4056)),'SKOLEMAAAV1'(i2003_11_14_17_21_4056)),
inference('HYPERRESOLVE',[status(thm)],[42,84]) ).
cnf(117,plain,
'SKOLEMAAAV5'('SKOLEMAAAV6'('SKOLEMAAAV1'(i2003_11_14_17_21_4056))) != 'SKOLEMAAAV1'(i2003_11_14_17_21_4056),
inference('UR-RESOLVE',[status(thm)],[4,102,74]) ).
cnf(155,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,103,107]),117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KRS118+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n029.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 : Tue Jun 7 06:49:20 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T06:49:20
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-07T06:49:20
% 0.22/0.58
% 0.22/0.58
% 0.22/0.58 #||
% 0.22/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.58 % SZS output start Refutation
% See solution above
% 0.22/0.58 ||#
% 0.22/0.58
% 0.22/0.58 ; Summary of computation:
% 0.22/0.58 ; 696 formulas have been input or derived (from 126 formulas).
% 0.22/0.58 ; 155 (22%) were retained. Of these,
% 0.22/0.58 ; 11 ( 7%) were simplified or subsumed later,
% 0.22/0.58 ; 144 (93%) are still being kept.
% 0.22/0.58 ;
% 0.22/0.58 ; Run time in seconds excluding printing time:
% 0.22/0.58 ; 0.006 9% Read assertion file (1 call)
% 0.22/0.58 ; 0.001 1% Assert (32 calls)
% 0.22/0.58 ; 0.010 15% Process new row (507 calls)
% 0.22/0.58 ; 0.016 24% Resolution (250 calls)
% 0.22/0.58 ; 0.000 0% Paramodulation (125 calls)
% 0.22/0.59 ; 0.000 0% Factoring (4 calls)
% 0.22/0.59 ; 0.000 0% Condensing (58 calls)
% 0.22/0.59 ; 0.001 1% Forward subsumption (58 calls)
% 0.22/0.59 ; 0.000 0% Backward subsumption (47 calls)
% 0.22/0.59 ; 0.000 0% Clause clause subsumption (21 calls)
% 0.22/0.59 ; 0.004 6% Forward simplification (489 calls)
% 0.22/0.59 ; 0.002 3% Backward simplification (155 calls)
% 0.22/0.59 ; 0.000 0% Ordering (20 calls)
% 0.22/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.59 ; 0.000 0% Purity testing (1 call)
% 0.22/0.59 ; 0.028 41% Other
% 0.22/0.59 ; 0.068 Total
% 0.22/0.59 ; 0.072 Real time
% 0.22/0.59 ;
% 0.22/0.59 ; Term-hash-array has 183 terms in all.
% 0.22/0.59 ; Feature-vector-row-index has 45 entries (45 at peak, 47 added, 2 deleted).
% 0.22/0.59 ; Feature-vector-row-index has 85 nodes (85 at peak, 91 added, 6 deleted).
% 0.22/0.59 ; Retrieved 27 possibly forward subsuming rows in 58 calls.
% 0.22/0.59 ; Retrieved 8 possibly backward subsumed rows in 47 calls.
% 0.22/0.59 ; Path-index has 171 entries (171 at peak, 184 added, 13 deleted).
% 0.22/0.59 ; Path-index has 256 nodes (256 at peak, 266 added, 10 deleted).
% 0.22/0.59 ; Trie-index has 171 entries (171 at peak, 184 added, 13 deleted).
% 0.22/0.59 ; Trie-index has 335 nodes (335 at peak, 377 added, 42 deleted).
% 0.22/0.59 ; Retrieved 433 generalization terms in 617 calls.
% 0.22/0.59 ; Retrieved 109 instance terms in 107 calls.
% 0.22/0.59 ; Retrieved 4,598 unifiable terms in 1,757 calls.
% 0.22/0.59 ;
% 0.22/0.59 ; The agenda of rows to process has 12 entries:
% 0.22/0.59 ; 2 with value 19 3 with value 21 1 with value 24
% 0.22/0.59 ; 6 with value 20
% 0.22/0.59 ; The agenda of rows to give has 22 entries:
% 0.22/0.59 ; 8 with value (4 19) 2 with value (4 22) 3 with value (4 24)
% 0.22/0.59 ; 3 with value (4 20) 1 with value (4 23) 1 with value (4 25)
% 0.22/0.59 ; 4 with value (4 21)
% 0.22/0.59 Evaluation took:
% 0.22/0.59 0.073 seconds of real time
% 0.22/0.59 0.063635 seconds of user run time
% 0.22/0.59 0.008834 seconds of system run time
% 0.22/0.59 0 calls to %EVAL
% 0.22/0.59 0 page faults and
% 0.22/0.59 4,827,288 bytes consed.
% 0.22/0.59 :PROOF-FOUND
% 0.22/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T06:49:20
% 0.22/0.59 :PROOF-FOUND
% 0.22/0.59 *
%------------------------------------------------------------------------------