TSTP Solution File: KRS098+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 03:28:34 EDT 2022
% Result : Unsatisfiable 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of clauses : 30 ( 16 unt; 0 nHn; 30 RR)
% Number of literals : 49 ( 5 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( X != Y
| ~ cd(X)
| cd(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cd_substitution_1) ).
cnf(30,axiom,
( ~ cUnsatisfiable(X)
| rr3(X,'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(31,axiom,
( ~ cUnsatisfiable(X)
| rt3('SKOLEMAAAV1'(X),'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(32,axiom,
( ~ cUnsatisfiable(X)
| ce('SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(33,axiom,
( ~ cUnsatisfiable(X)
| ~ rtt('SKOLEMAAAV1'(X),Y)
| ~ rtt('SKOLEMAAAV1'(X),Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(34,axiom,
( ~ cUnsatisfiable(X)
| rr2(X,'SKOLEMAAAV3'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(36,axiom,
( ~ cUnsatisfiable(X)
| rt2('SKOLEMAAAV3'(X),'SKOLEMAAAV4'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(37,axiom,
( ~ cUnsatisfiable(X)
| cd('SKOLEMAAAV4'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(38,axiom,
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| ~ rr(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(127,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(130,axiom,
( ~ ce(X)
| ~ cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(132,axiom,
( ~ rr2(X,Y)
| rr(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
cnf(134,axiom,
( ~ rt2(X,Y)
| rtt(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(135,axiom,
( ~ rr3(X,Y)
| rr(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
cnf(136,axiom,
( ~ rt3(X,Y)
| rtt(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
cnf(137,plain,
ce('SKOLEMAAAV2'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[32,127]) ).
cnf(138,plain,
cd('SKOLEMAAAV4'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[37,127]) ).
cnf(140,plain,
rr3(i2003_11_14_17_20_25524,'SKOLEMAAAV1'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[30,127]) ).
cnf(141,plain,
rr2(i2003_11_14_17_20_25524,'SKOLEMAAAV3'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[34,127]) ).
cnf(143,plain,
rt3('SKOLEMAAAV1'(i2003_11_14_17_20_25524),'SKOLEMAAAV2'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[31,127]) ).
cnf(144,plain,
rt2('SKOLEMAAAV3'(i2003_11_14_17_20_25524),'SKOLEMAAAV4'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[36,127]) ).
cnf(146,plain,
~ cd('SKOLEMAAAV2'(i2003_11_14_17_20_25524)),
inference('UR-RESOLVE',[status(thm)],[130,137]) ).
cnf(154,plain,
rr(i2003_11_14_17_20_25524,'SKOLEMAAAV1'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[135,140]) ).
cnf(155,plain,
rr(i2003_11_14_17_20_25524,'SKOLEMAAAV3'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[132,141]) ).
cnf(157,plain,
'SKOLEMAAAV4'(i2003_11_14_17_20_25524) != 'SKOLEMAAAV2'(i2003_11_14_17_20_25524),
inference('UR-RESOLVE',[status(thm)],[4,146,138]) ).
cnf(161,plain,
rtt('SKOLEMAAAV1'(i2003_11_14_17_20_25524),'SKOLEMAAAV2'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[136,143]) ).
cnf(162,plain,
rtt('SKOLEMAAAV3'(i2003_11_14_17_20_25524),'SKOLEMAAAV4'(i2003_11_14_17_20_25524)),
inference('HYPERRESOLVE',[status(thm)],[134,144]) ).
cnf(164,plain,
'SKOLEMAAAV1'(i2003_11_14_17_20_25524) = 'SKOLEMAAAV3'(i2003_11_14_17_20_25524),
inference('HYPERRESOLVE',[status(thm)],[38,155,127,154]) ).
cnf(167,plain,
rtt('SKOLEMAAAV1'(i2003_11_14_17_20_25524),'SKOLEMAAAV4'(i2003_11_14_17_20_25524)),
inference('REWRITE',[status(thm)],[162,164,theory(equality)]) ).
cnf(172,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[33,167,127,161]),157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 20:06:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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 2022-06-07T20:06:05
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-07T20:06:05
% 0.39/0.60
% 0.39/0.60
% 0.39/0.60 #||
% 0.39/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.60 % SZS output start Refutation
% See solution above
% 0.39/0.60 ||#
% 0.39/0.60
% 0.39/0.60 ; Summary of computation:
% 0.39/0.60 ; 352 formulas have been input or derived (from 162 formulas).
% 0.39/0.60 ; 172 (49%) were retained. Of these,
% 0.39/0.60 ; 10 ( 6%) were simplified or subsumed later,
% 0.39/0.60 ; 162 (94%) are still being kept.
% 0.39/0.60 ;
% 0.39/0.60 ; Run time in seconds excluding printing time:
% 0.39/0.60 ; 0.008 6% Read assertion file (1 call)
% 0.39/0.60 ; 0.009 7% Assert (39 calls)
% 0.39/0.60 ; 0.019 14% Process new row (294 calls)
% 0.39/0.60 ; 0.040 29% Resolution (322 calls)
% 0.39/0.60 ; 0.000 0% Paramodulation (161 calls)
% 0.39/0.60 ; 0.000 0% Factoring (1 call)
% 0.39/0.60 ; 0.004 3% Condensing (134 calls)
% 0.39/0.60 ; 0.005 4% Forward subsumption (134 calls)
% 0.39/0.60 ; 0.012 9% Backward subsumption (133 calls)
% 0.39/0.60 ; 0.003 2% Clause clause subsumption (656 calls)
% 0.39/0.60 ; 0.011 8% Forward simplification (280 calls)
% 0.39/0.60 ; 0.000 0% Backward simplification (172 calls)
% 0.39/0.60 ; 0.000 0% Ordering (7 calls)
% 0.39/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.60 ; 0.001 1% Purity testing (1 call)
% 0.39/0.60 ; 0.026 19% Other
% 0.39/0.60 ; 0.138 Total
% 0.39/0.60 ; 0.140 Real time
% 0.39/0.60 ;
% 0.39/0.60 ; Term-hash-array has 150 terms in all.
% 0.39/0.60 ; Feature-vector-row-index has 131 entries (131 at peak, 133 added, 2 deleted).
% 0.39/0.60 ; Feature-vector-row-index has 364 nodes (364 at peak, 364 added, 0 deleted).
% 0.39/0.60 ; Retrieved 11 possibly forward subsuming rows in 134 calls.
% 0.39/0.60 ; Retrieved 651 possibly backward subsumed rows in 133 calls.
% 0.39/0.60 ; Path-index has 141 entries (142 at peak, 151 added, 10 deleted).
% 0.39/0.60 ; Path-index has 220 nodes (220 at peak, 234 added, 14 deleted).
% 0.39/0.60 ; Trie-index has 141 entries (142 at peak, 151 added, 10 deleted).
% 0.39/0.60 ; Trie-index has 214 nodes (216 at peak, 236 added, 22 deleted).
% 0.39/0.60 ; Retrieved 107 generalization terms in 257 calls.
% 0.39/0.60 ; Retrieved 40 instance terms in 38 calls.
% 0.39/0.60 ; Retrieved 25,870 unifiable terms in 8,513 calls.
% 0.39/0.60 ;
% 0.39/0.60 ; The agenda of rows to process has 8 entries:
% 0.39/0.60 ; 8 with value 10
% 0.39/0.60 ; The agenda of rows to give has 6 entries:
% 0.39/0.60 ; 1 with value (4 9) 5 with value (4 10)
% 0.39/0.60 Evaluation took:
% 0.39/0.60 0.141 seconds of real time
% 0.39/0.60 0.128277 seconds of user run time
% 0.39/0.60 0.012767 seconds of system run time
% 0.39/0.60 0 calls to %EVAL
% 0.39/0.60 0 page faults and
% 0.39/0.60 10,105,808 bytes consed.
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T20:06:05
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 *
%------------------------------------------------------------------------------