TSTP Solution File: KRS106+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS106+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 03:28:35 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 15 unt; 0 nHn; 26 RR)
% Number of literals : 39 ( 4 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(21,axiom,
( ~ cUnsatisfiable(X)
| rf3(X,'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(23,axiom,
( ~ cUnsatisfiable(X)
| rf1(X,'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(24,axiom,
( ~ cUnsatisfiable(X)
| cp1('SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(25,axiom,
( ~ cUnsatisfiable(X)
| rf2(X,'SKOLEMAAAV3'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(26,axiom,
( ~ cUnsatisfiable(X)
| cp1xcomp('SKOLEMAAAV3'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(28,axiom,
( ~ cp1(X)
| ~ ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(30,axiom,
( ~ cp1xcomp(X)
| ra_Px1(X,'SKOLEMAAAV5'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(32,axiom,
( ~ rf1(X,Y)
| ~ rf1(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(33,axiom,
( ~ rf2(X,Y)
| ~ rf2(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(35,axiom,
cUnsatisfiable(i2003_11_14_17_20_57644),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(36,axiom,
( ~ rf3(X,Y)
| rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
cnf(37,axiom,
( ~ rf3(X,Y)
| rf2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
cnf(39,plain,
cp1('SKOLEMAAAV2'(i2003_11_14_17_20_57644)),
inference('HYPERRESOLVE',[status(thm)],[24,35]) ).
cnf(40,plain,
cp1xcomp('SKOLEMAAAV3'(i2003_11_14_17_20_57644)),
inference('HYPERRESOLVE',[status(thm)],[26,35]) ).
cnf(41,plain,
rf3(i2003_11_14_17_20_57644,'SKOLEMAAAV1'(i2003_11_14_17_20_57644)),
inference('HYPERRESOLVE',[status(thm)],[21,35]) ).
cnf(42,plain,
rf1(i2003_11_14_17_20_57644,'SKOLEMAAAV2'(i2003_11_14_17_20_57644)),
inference('HYPERRESOLVE',[status(thm)],[23,35]) ).
cnf(43,plain,
rf2(i2003_11_14_17_20_57644,'SKOLEMAAAV3'(i2003_11_14_17_20_57644)),
inference('HYPERRESOLVE',[status(thm)],[25,35]) ).
cnf(45,plain,
~ ra_Px1('SKOLEMAAAV2'(i2003_11_14_17_20_57644),X),
inference('UR-RESOLVE',[status(thm)],[28,39]) ).
cnf(46,plain,
ra_Px1('SKOLEMAAAV3'(i2003_11_14_17_20_57644),'SKOLEMAAAV5'('SKOLEMAAAV3'(i2003_11_14_17_20_57644))),
inference('HYPERRESOLVE',[status(thm)],[30,40]) ).
cnf(47,plain,
rf2(i2003_11_14_17_20_57644,'SKOLEMAAAV1'(i2003_11_14_17_20_57644)),
inference('HYPERRESOLVE',[status(thm)],[37,41]) ).
cnf(48,plain,
rf1(i2003_11_14_17_20_57644,'SKOLEMAAAV1'(i2003_11_14_17_20_57644)),
inference('HYPERRESOLVE',[status(thm)],[36,41]) ).
cnf(51,plain,
'SKOLEMAAAV3'(i2003_11_14_17_20_57644) = 'SKOLEMAAAV1'(i2003_11_14_17_20_57644),
inference('HYPERRESOLVE',[status(thm)],[33,47,43]) ).
cnf(53,plain,
ra_Px1('SKOLEMAAAV1'(i2003_11_14_17_20_57644),'SKOLEMAAAV5'('SKOLEMAAAV1'(i2003_11_14_17_20_57644))),
inference('REWRITE',[status(thm)],[46,51,theory(equality)]) ).
cnf(54,plain,
'SKOLEMAAAV2'(i2003_11_14_17_20_57644) = 'SKOLEMAAAV1'(i2003_11_14_17_20_57644),
inference('HYPERRESOLVE',[status(thm)],[32,48,42]) ).
cnf(56,plain,
~ ra_Px1('SKOLEMAAAV1'(i2003_11_14_17_20_57644),X),
inference('REWRITE',[status(thm)],[45,54,theory(equality)]) ).
cnf(57,plain,
$false,
inference('REWRITE',[status(thm)],[53,56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS106+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 14:17:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T14:17:45
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-07T14:17:45
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 143 formulas have been input or derived (from 47 formulas).
% 0.19/0.51 ; 57 (40%) were retained. Of these,
% 0.19/0.51 ; 10 (18%) were simplified or subsumed later,
% 0.19/0.51 ; 47 (82%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.005 12% Read assertion file (1 call)
% 0.19/0.51 ; 0.002 5% Assert (27 calls)
% 0.19/0.51 ; 0.004 10% Process new row (94 calls)
% 0.19/0.51 ; 0.004 10% Resolution (92 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (46 calls)
% 0.19/0.51 ; 0.000 0% Factoring (3 calls)
% 0.19/0.51 ; 0.000 0% Condensing (40 calls)
% 0.19/0.51 ; 0.001 2% Forward subsumption (40 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (36 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.19/0.51 ; 0.001 2% Forward simplification (91 calls)
% 0.19/0.51 ; 0.002 5% Backward simplification (57 calls)
% 0.19/0.51 ; 0.000 0% Ordering (12 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 54% Other
% 0.19/0.51 ; 0.041 Total
% 0.19/0.51 ; 0.043 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 77 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 34 entries (34 at peak, 36 added, 2 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 68 nodes (68 at peak, 71 added, 3 deleted).
% 0.19/0.51 ; Retrieved 10 possibly forward subsuming rows in 40 calls.
% 0.19/0.51 ; Retrieved 6 possibly backward subsumed rows in 36 calls.
% 0.19/0.51 ; Path-index has 66 entries (70 at peak, 78 added, 12 deleted).
% 0.19/0.51 ; Path-index has 98 nodes (102 at peak, 109 added, 11 deleted).
% 0.19/0.51 ; Trie-index has 66 entries (70 at peak, 78 added, 12 deleted).
% 0.19/0.51 ; Trie-index has 88 nodes (98 at peak, 111 added, 23 deleted).
% 0.19/0.51 ; Retrieved 23 generalization terms in 41 calls.
% 0.19/0.51 ; Retrieved 23 instance terms in 20 calls.
% 0.19/0.51 ; Retrieved 1,065 unifiable terms in 398 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.51 ; 1 with value 0
% 0.19/0.51 ; The agenda of rows to process has 7 entries:
% 0.19/0.51 ; 7 with value 10
% 0.19/0.51 ; The agenda of rows to give has 5 entries:
% 0.19/0.51 ; 1 with value (4 6) 2 with value (4 10) 1 with value (4 11)
% 0.19/0.51 ; 1 with value (4 8)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.044 seconds of real time
% 0.19/0.51 0.040399 seconds of user run time
% 0.19/0.51 0.004132 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,336,744 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T14:17:45
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------