TSTP Solution File: KRS112+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 03:28:36 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 32 ( 17 unt; 0 nHn; 32 RR)
% Number of literals : 51 ( 5 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 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 : 26 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( X != Y
| ~ cpxcomp(X)
| cpxcomp(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cpxcomp_substitution_1) ).
cnf(28,axiom,
( ~ cUnsatisfiable(X)
| rf1(X,'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(29,axiom,
( ~ cUnsatisfiable(X)
| ca_Ax2('SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(30,axiom,
( ~ cUnsatisfiable(X)
| rf(X,'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(31,axiom,
( ~ cUnsatisfiable(X)
| cp('SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(33,axiom,
( ~ cp(X)
| ~ ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(35,axiom,
( ~ cpxcomp(X)
| ra_Px1(X,'SKOLEMAAAV4'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(37,axiom,
( ~ ca_Ax2(X)
| cpxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(38,axiom,
( ~ ca_Ax2(X)
| ~ rinvF1(X,Y)
| ca_Vx3(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(41,axiom,
( ~ ca_Vx3(X)
| rs(X,'SKOLEMAAAV6'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(44,axiom,
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(45,axiom,
( ~ rf1(X,Y)
| ~ rf1(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(49,axiom,
( rinvF1(X,Y)
| ~ rf1(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
cnf(53,axiom,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
cnf(54,axiom,
( ~ rs(X,Y)
| rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
cnf(55,axiom,
( ~ rs(X,Y)
| rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
cnf(56,plain,
ca_Ax2('SKOLEMAAAV1'(i2003_11_14_17_21_19256)),
inference('HYPERRESOLVE',[status(thm)],[29,53]) ).
cnf(57,plain,
cp('SKOLEMAAAV2'(i2003_11_14_17_21_19256)),
inference('HYPERRESOLVE',[status(thm)],[31,53]) ).
cnf(58,plain,
rf1(i2003_11_14_17_21_19256,'SKOLEMAAAV1'(i2003_11_14_17_21_19256)),
inference('HYPERRESOLVE',[status(thm)],[28,53]) ).
cnf(59,plain,
rf(i2003_11_14_17_21_19256,'SKOLEMAAAV2'(i2003_11_14_17_21_19256)),
inference('HYPERRESOLVE',[status(thm)],[30,53]) ).
cnf(61,plain,
cpxcomp('SKOLEMAAAV1'(i2003_11_14_17_21_19256)),
inference('HYPERRESOLVE',[status(thm)],[37,56]) ).
cnf(62,plain,
~ ra_Px1('SKOLEMAAAV2'(i2003_11_14_17_21_19256),X),
inference('UR-RESOLVE',[status(thm)],[33,57]) ).
cnf(63,plain,
rinvF1('SKOLEMAAAV1'(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256),
inference('HYPERRESOLVE',[status(thm)],[49,58]) ).
cnf(68,plain,
~ cpxcomp('SKOLEMAAAV2'(i2003_11_14_17_21_19256)),
inference('UR-RESOLVE',[status(thm)],[35,62]) ).
cnf(69,plain,
ca_Vx3(i2003_11_14_17_21_19256),
inference('HYPERRESOLVE',[status(thm)],[38,63,56]) ).
cnf(70,plain,
rs(i2003_11_14_17_21_19256,'SKOLEMAAAV6'(i2003_11_14_17_21_19256)),
inference('HYPERRESOLVE',[status(thm)],[41,69]) ).
cnf(72,plain,
'SKOLEMAAAV1'(i2003_11_14_17_21_19256) != 'SKOLEMAAAV2'(i2003_11_14_17_21_19256),
inference('UR-RESOLVE',[status(thm)],[7,68,61]) ).
cnf(73,plain,
rf1(i2003_11_14_17_21_19256,'SKOLEMAAAV6'(i2003_11_14_17_21_19256)),
inference('HYPERRESOLVE',[status(thm)],[55,70]) ).
cnf(74,plain,
rf(i2003_11_14_17_21_19256,'SKOLEMAAAV6'(i2003_11_14_17_21_19256)),
inference('HYPERRESOLVE',[status(thm)],[54,70]) ).
cnf(77,plain,
~ rf(i2003_11_14_17_21_19256,'SKOLEMAAAV1'(i2003_11_14_17_21_19256)),
inference('UR-RESOLVE',[status(thm)],[44,72,59]) ).
cnf(79,plain,
'SKOLEMAAAV1'(i2003_11_14_17_21_19256) = 'SKOLEMAAAV6'(i2003_11_14_17_21_19256),
inference('HYPERRESOLVE',[status(thm)],[45,73,58]) ).
cnf(81,plain,
$false,
inference('REWRITE',[status(thm)],[74,77,79,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 7 09:17:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T09:17:47
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-07T09:17:47
% 0.21/0.53
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.54 ||#
% 0.21/0.54
% 0.21/0.54 ; Summary of computation:
% 0.21/0.54 ; 185 formulas have been input or derived (from 69 formulas).
% 0.21/0.54 ; 81 (44%) were retained. Of these,
% 0.21/0.54 ; 8 (10%) were simplified or subsumed later,
% 0.21/0.54 ; 73 (90%) are still being kept.
% 0.21/0.54 ;
% 0.21/0.54 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.008 17% Read assertion file (1 call)
% 0.21/0.54 ; 0.002 4% Assert (39 calls)
% 0.21/0.54 ; 0.006 12% Process new row (133 calls)
% 0.21/0.54 ; 0.005 10% Resolution (136 calls)
% 0.21/0.54 ; 0.000 0% Paramodulation (68 calls)
% 0.21/0.54 ; 0.000 0% Factoring (4 calls)
% 0.21/0.54 ; 0.001 2% Condensing (61 calls)
% 0.21/0.54 ; 0.000 0% Forward subsumption (61 calls)
% 0.21/0.54 ; 0.001 2% Backward subsumption (54 calls)
% 0.21/0.54 ; 0.000 0% Clause clause subsumption (21 calls)
% 0.21/0.54 ; 0.001 2% Forward simplification (133 calls)
% 0.21/0.54 ; 0.002 4% Backward simplification (80 calls)
% 0.21/0.54 ; 0.000 0% Ordering (14 calls)
% 0.21/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.54 ; 0.000 0% Purity testing (1 call)
% 0.21/0.54 ; 0.022 46% Other
% 0.21/0.54 ; 0.048 Total
% 0.21/0.54 ; 0.052 Real time
% 0.21/0.54 ;
% 0.21/0.54 ; Term-hash-array has 101 terms in all.
% 0.21/0.54 ; Feature-vector-row-index has 52 entries (52 at peak, 54 added, 2 deleted).
% 0.21/0.54 ; Feature-vector-row-index has 95 nodes (95 at peak, 98 added, 3 deleted).
% 0.21/0.54 ; Retrieved 18 possibly forward subsuming rows in 61 calls.
% 0.21/0.54 ; Retrieved 18 possibly backward subsumed rows in 54 calls.
% 0.21/0.54 ; Path-index has 95 entries (99 at peak, 102 added, 7 deleted).
% 0.21/0.54 ; Path-index has 135 nodes (139 at peak, 142 added, 7 deleted).
% 0.21/0.54 ; Trie-index has 95 entries (99 at peak, 102 added, 7 deleted).
% 0.21/0.54 ; Trie-index has 122 nodes (132 at peak, 135 added, 13 deleted).
% 0.21/0.54 ; Retrieved 45 generalization terms in 72 calls.
% 0.21/0.54 ; Retrieved 27 instance terms in 25 calls.
% 0.21/0.54 ; Retrieved 1,300 unifiable terms in 495 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.21/0.54 ; 2 with value 0
% 0.21/0.54 ; The agenda of rows to process has 7 entries:
% 0.21/0.54 ; 7 with value 13
% 0.21/0.54 ; The agenda of rows to give has 6 entries:
% 0.21/0.54 ; 1 with value (4 10) 1 with value (4 12) 1 with value (4 14)
% 0.21/0.54 ; 2 with value (4 11) 1 with value (4 13)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.052 seconds of real time
% 0.21/0.54 0.0471 seconds of user run time
% 0.21/0.54 0.004811 seconds of system run time
% 0.21/0.54 0 calls to %EVAL
% 0.21/0.54 0 page faults and
% 0.21/0.54 3,893,424 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T09:17:47
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------