TSTP Solution File: KRS071+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 03:28:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 28 ( 14 unt; 3 nHn; 28 RR)
% Number of literals : 50 ( 13 equ; 25 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( X != Y
| ~ cp2(X)
| cp2(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2_substitution_1) ).
cnf(6,axiom,
( X != Y
| ~ cp3(X)
| cp3(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp3_substitution_1) ).
cnf(19,axiom,
( ~ cUnsatisfiable(X)
| rr(X,'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(20,axiom,
( ~ cUnsatisfiable(X)
| cp1('SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(21,axiom,
( ~ cUnsatisfiable(X)
| rr(X,'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(22,axiom,
( ~ cUnsatisfiable(X)
| cp2('SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(23,axiom,
( ~ cUnsatisfiable(X)
| rr(X,'SKOLEMAAAV3'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(24,axiom,
( ~ cUnsatisfiable(X)
| cp3('SKOLEMAAAV3'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(25,axiom,
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| ~ rr(X,Z)
| ~ rr(X,U)
| Y = Z
| Y = U
| Z = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(33,axiom,
( ~ cp1(X)
| ~ cp2(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(34,axiom,
( ~ cp1(X)
| ~ cp3(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(37,axiom,
( ~ cp2(X)
| ~ cp3(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(44,axiom,
cUnsatisfiable(i2003_11_14_17_18_39380),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(45,plain,
cp1('SKOLEMAAAV1'(i2003_11_14_17_18_39380)),
inference('HYPERRESOLVE',[status(thm)],[20,44]) ).
cnf(46,plain,
cp2('SKOLEMAAAV2'(i2003_11_14_17_18_39380)),
inference('HYPERRESOLVE',[status(thm)],[22,44]) ).
cnf(47,plain,
cp3('SKOLEMAAAV3'(i2003_11_14_17_18_39380)),
inference('HYPERRESOLVE',[status(thm)],[24,44]) ).
cnf(48,plain,
rr(i2003_11_14_17_18_39380,'SKOLEMAAAV1'(i2003_11_14_17_18_39380)),
inference('HYPERRESOLVE',[status(thm)],[19,44]) ).
cnf(49,plain,
rr(i2003_11_14_17_18_39380,'SKOLEMAAAV2'(i2003_11_14_17_18_39380)),
inference('HYPERRESOLVE',[status(thm)],[21,44]) ).
cnf(50,plain,
rr(i2003_11_14_17_18_39380,'SKOLEMAAAV3'(i2003_11_14_17_18_39380)),
inference('HYPERRESOLVE',[status(thm)],[23,44]) ).
cnf(52,plain,
~ cp3('SKOLEMAAAV1'(i2003_11_14_17_18_39380)),
inference('UR-RESOLVE',[status(thm)],[34,45]) ).
cnf(53,plain,
~ cp2('SKOLEMAAAV1'(i2003_11_14_17_18_39380)),
inference('UR-RESOLVE',[status(thm)],[33,45]) ).
cnf(56,plain,
~ cp3('SKOLEMAAAV2'(i2003_11_14_17_18_39380)),
inference('UR-RESOLVE',[status(thm)],[37,46]) ).
cnf(66,plain,
( 'SKOLEMAAAV1'(i2003_11_14_17_18_39380) = 'SKOLEMAAAV3'(i2003_11_14_17_18_39380)
| 'SKOLEMAAAV1'(i2003_11_14_17_18_39380) = 'SKOLEMAAAV2'(i2003_11_14_17_18_39380)
| 'SKOLEMAAAV3'(i2003_11_14_17_18_39380) = 'SKOLEMAAAV2'(i2003_11_14_17_18_39380) ),
inference('HYPERRESOLVE',[status(thm)],[25,50,44,48,49]) ).
cnf(67,plain,
'SKOLEMAAAV1'(i2003_11_14_17_18_39380) != 'SKOLEMAAAV3'(i2003_11_14_17_18_39380),
inference('UR-RESOLVE',[status(thm)],[6,52,47]) ).
cnf(68,plain,
( 'SKOLEMAAAV1'(i2003_11_14_17_18_39380) = 'SKOLEMAAAV2'(i2003_11_14_17_18_39380)
| 'SKOLEMAAAV3'(i2003_11_14_17_18_39380) = 'SKOLEMAAAV2'(i2003_11_14_17_18_39380) ),
inference('REWRITE',[status(thm)],[66,67]) ).
cnf(69,plain,
'SKOLEMAAAV1'(i2003_11_14_17_18_39380) != 'SKOLEMAAAV2'(i2003_11_14_17_18_39380),
inference('UR-RESOLVE',[status(thm)],[5,53,46]) ).
cnf(70,plain,
'SKOLEMAAAV3'(i2003_11_14_17_18_39380) = 'SKOLEMAAAV2'(i2003_11_14_17_18_39380),
inference('REWRITE',[status(thm)],[68,69]) ).
cnf(71,plain,
$false,
inference('REWRITE',[status(thm)],[47,56,70,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 12:33:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T12:33:36
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-07T12:33:36
% 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 ; 165 formulas have been input or derived (from 52 formulas).
% 0.19/0.51 ; 71 (43%) were retained. Of these,
% 0.19/0.51 ; 12 (17%) were simplified or subsumed later,
% 0.19/0.51 ; 59 (83%) 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 11% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 2% Assert (23 calls)
% 0.19/0.51 ; 0.002 4% Process new row (122 calls)
% 0.19/0.51 ; 0.005 11% Resolution (102 calls)
% 0.19/0.51 ; 0.001 2% Paramodulation (51 calls)
% 0.19/0.51 ; 0.000 0% Factoring (1 call)
% 0.19/0.51 ; 0.002 4% Condensing (44 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (44 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (43 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (23 calls)
% 0.19/0.51 ; 0.003 7% Forward simplification (122 calls)
% 0.19/0.51 ; 0.002 4% Backward simplification (71 calls)
% 0.19/0.51 ; 0.000 0% Ordering (5 calls)
% 0.19/0.51 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.024 52% Other
% 0.19/0.51 ; 0.046 Total
% 0.19/0.51 ; 0.050 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 84 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 39 entries (40 at peak, 43 added, 4 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 75 nodes (86 at peak, 98 added, 23 deleted).
% 0.19/0.51 ; Retrieved 5 possibly forward subsuming rows in 44 calls.
% 0.19/0.51 ; Retrieved 22 possibly backward subsumed rows in 43 calls.
% 0.19/0.51 ; Path-index has 75 entries (83 at peak, 88 added, 13 deleted).
% 0.19/0.51 ; Path-index has 111 nodes (118 at peak, 119 added, 8 deleted).
% 0.19/0.51 ; Trie-index has 75 entries (83 at peak, 88 added, 13 deleted).
% 0.19/0.51 ; Trie-index has 112 nodes (128 at peak, 138 added, 26 deleted).
% 0.19/0.51 ; Retrieved 24 generalization terms in 45 calls.
% 0.19/0.51 ; Retrieved 29 instance terms in 27 calls.
% 0.19/0.51 ; Retrieved 4,883 unifiable terms in 1,194 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.19/0.51 ; 7 with value 0
% 0.19/0.51 ; The agenda of rows to give has 9 entries:
% 0.19/0.51 ; 5 with value (4 7) 1 with value (4 9) 1 with value (4 10)
% 0.19/0.51 ; 2 with value (4 8)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.051 seconds of real time
% 0.19/0.51 0.036815 seconds of user run time
% 0.19/0.51 0.013743 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 3,848,512 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T12:33:36
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------