%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS080+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 03:28:30 EDT 2022
% Result : Unsatisfiable 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of clauses : 45 ( 22 unt; 6 nHn; 45 RR)
% Number of literals : 90 ( 35 equ; 42 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( X != Y
| ~ cp2(X)
| cp2(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2_substitution_1) ).
cnf(7,axiom,
( X != Y
| ~ cp3(X)
| cp3(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp3_substitution_1) ).
cnf(8,axiom,
( X != Y
| ~ cp4(X)
| cp4(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp4_substitution_1) ).
cnf(18,axiom,
( ~ cUnsatisfiable(X)
| rr(X,'SKOLEMAAAM1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(20,axiom,
( ~ cUnsatisfiable(X)
| cp1('SKOLEMAAAM1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(23,axiom,
( ~ cUnsatisfiable(X)
| rr(X,'SKOLEMAAAM3'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(24,axiom,
( ~ cUnsatisfiable(X)
| cp4('SKOLEMAAAM3'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(25,axiom,
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| ~ rr(X,Z)
| ~ rr(X,U)
| ~ rr(X,V)
| Y = Z
| Y = U
| Y = V
| Z = U
| Z = V
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(28,axiom,
( ~ cUnsatisfiable(X)
| rr(X,'SKOLEMAAAM5'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(29,axiom,
( ~ cUnsatisfiable(X)
| cp3('SKOLEMAAAM5'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(33,axiom,
( ~ cUnsatisfiable(X)
| rr(X,'SKOLEMAAAM7'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(34,axiom,
( ~ cUnsatisfiable(X)
| cp2('SKOLEMAAAM7'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(56,axiom,
( ~ cp1(X)
| ~ cp2(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(57,axiom,
( ~ cp1(X)
| ~ cp4(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(59,axiom,
( ~ cp1(X)
| ~ cp3(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(60,axiom,
( ~ cp2(X)
| ~ cp4(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(62,axiom,
( ~ cp2(X)
| ~ cp3(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(63,axiom,
( ~ cp3(X)
| ~ cp4(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(66,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(68,plain,
cp1('SKOLEMAAAM1'(i2003_11_14_17_19_21224)),
inference('HYPERRESOLVE',[status(thm)],[20,66]) ).
cnf(70,plain,
cp4('SKOLEMAAAM3'(i2003_11_14_17_19_21224)),
inference('HYPERRESOLVE',[status(thm)],[24,66]) ).
cnf(72,plain,
cp3('SKOLEMAAAM5'(i2003_11_14_17_19_21224)),
inference('HYPERRESOLVE',[status(thm)],[29,66]) ).
cnf(75,plain,
cp2('SKOLEMAAAM7'(i2003_11_14_17_19_21224)),
inference('HYPERRESOLVE',[status(thm)],[34,66]) ).
cnf(77,plain,
rr(i2003_11_14_17_19_21224,'SKOLEMAAAM1'(i2003_11_14_17_19_21224)),
inference('HYPERRESOLVE',[status(thm)],[18,66]) ).
cnf(79,plain,
rr(i2003_11_14_17_19_21224,'SKOLEMAAAM3'(i2003_11_14_17_19_21224)),
inference('HYPERRESOLVE',[status(thm)],[23,66]) ).
cnf(81,plain,
rr(i2003_11_14_17_19_21224,'SKOLEMAAAM5'(i2003_11_14_17_19_21224)),
inference('HYPERRESOLVE',[status(thm)],[28,66]) ).
cnf(83,plain,
rr(i2003_11_14_17_19_21224,'SKOLEMAAAM7'(i2003_11_14_17_19_21224)),
inference('HYPERRESOLVE',[status(thm)],[33,66]) ).
cnf(84,plain,
~ cp3('SKOLEMAAAM1'(i2003_11_14_17_19_21224)),
inference('UR-RESOLVE',[status(thm)],[59,68]) ).
cnf(86,plain,
~ cp4('SKOLEMAAAM1'(i2003_11_14_17_19_21224)),
inference('UR-RESOLVE',[status(thm)],[57,68]) ).
cnf(87,plain,
~ cp2('SKOLEMAAAM1'(i2003_11_14_17_19_21224)),
inference('UR-RESOLVE',[status(thm)],[56,68]) ).
cnf(93,plain,
~ cp3('SKOLEMAAAM3'(i2003_11_14_17_19_21224)),
inference('UR-RESOLVE',[status(thm)],[63,70]) ).
cnf(94,plain,
~ cp2('SKOLEMAAAM3'(i2003_11_14_17_19_21224)),
inference('UR-RESOLVE',[status(thm)],[60,70]) ).
cnf(102,plain,
~ cp2('SKOLEMAAAM5'(i2003_11_14_17_19_21224)),
inference('UR-RESOLVE',[status(thm)],[62,72]) ).
cnf(132,plain,
( 'SKOLEMAAAM1'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM7'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM1'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM1'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM5'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM5'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM5'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224) ),
inference('HYPERRESOLVE',[status(thm)],[25,83,66,77,79,81]) ).
cnf(158,plain,
'SKOLEMAAAM1'(i2003_11_14_17_19_21224) != 'SKOLEMAAAM5'(i2003_11_14_17_19_21224),
inference('UR-RESOLVE',[status(thm)],[7,84,72]) ).
cnf(163,plain,
( 'SKOLEMAAAM1'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM7'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM1'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM5'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM5'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224) ),
inference('REWRITE',[status(thm)],[132,158]) ).
cnf(169,plain,
'SKOLEMAAAM1'(i2003_11_14_17_19_21224) != 'SKOLEMAAAM3'(i2003_11_14_17_19_21224),
inference('UR-RESOLVE',[status(thm)],[8,86,70]) ).
cnf(178,plain,
( 'SKOLEMAAAM1'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM7'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM5'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM5'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224) ),
inference('REWRITE',[status(thm)],[163,169]) ).
cnf(180,plain,
'SKOLEMAAAM1'(i2003_11_14_17_19_21224) != 'SKOLEMAAAM7'(i2003_11_14_17_19_21224),
inference('UR-RESOLVE',[status(thm)],[6,87,75]) ).
cnf(190,plain,
( 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM5'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM5'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224) ),
inference('REWRITE',[status(thm)],[178,180]) ).
cnf(232,plain,
'SKOLEMAAAM5'(i2003_11_14_17_19_21224) != 'SKOLEMAAAM3'(i2003_11_14_17_19_21224),
inference('UR-RESOLVE',[status(thm)],[7,93,72]) ).
cnf(233,plain,
( 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM3'(i2003_11_14_17_19_21224)
| 'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM5'(i2003_11_14_17_19_21224) ),
inference('REWRITE',[status(thm)],[190,232]) ).
cnf(237,plain,
'SKOLEMAAAM7'(i2003_11_14_17_19_21224) != 'SKOLEMAAAM3'(i2003_11_14_17_19_21224),
inference('UR-RESOLVE',[status(thm)],[6,94,75]) ).
cnf(239,plain,
'SKOLEMAAAM7'(i2003_11_14_17_19_21224) = 'SKOLEMAAAM5'(i2003_11_14_17_19_21224),
inference('REWRITE',[status(thm)],[233,237]) ).
cnf(240,plain,
$false,
inference('REWRITE',[status(thm)],[75,102,239,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.06 % Problem : KRS080+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.07 % Command : run-snark %s %d
% 0.06/0.25 % Computer : n028.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Tue Jun 7 20:19:00 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.32 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 *
% 0.10/0.32 *
% 0.10/0.33 #<PACKAGE "SNARK-USER">
% 0.10/0.33 *
% 0.10/0.33 SNARK-TPTP-OPTIONS
% 0.10/0.33 *
% 0.10/0.33 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.10/0.33 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.10/0.33 (USE-FACTORING :POS)
% 0.10/0.33 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.10/0.33 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.10/0.33 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.10/0.33 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.10/0.33 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.10/0.33 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.10/0.33 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.10/0.33 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.10/0.33 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.10/0.33 (DECLARE-TPTP-SYMBOLS2))
% 0.10/0.33 *
% 0.10/0.33 "."
% 0.10/0.33 *
% 0.10/0.33 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T20:19:00
% 0.10/0.33 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-07T20:19:00
% 0.39/0.58
% 0.39/0.58
% 0.39/0.58 #||
% 0.39/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.58 % SZS output start Refutation
% See solution above
% 0.39/0.58 ||#
% 0.39/0.58
% 0.39/0.58 ; Summary of computation:
% 0.39/0.58 ; 3503 formulas have been input or derived (from 84 formulas).
% 0.39/0.58 ; 240 ( 7%) were retained. Of these,
% 0.39/0.58 ; 151 (63%) were simplified or subsumed later,
% 0.39/0.58 ; 89 (37%) are still being kept.
% 0.39/0.58 ;
% 0.39/0.58 ; Run time in seconds excluding printing time:
% 0.39/0.58 ; 0.002 1% Read assertion file (1 call)
% 0.39/0.58 ; 0.002 1% Assert (21 calls)
% 0.39/0.58 ; 0.018 7% Process new row (3,236 calls)
% 0.39/0.58 ; 0.095 38% Resolution (166 calls)
% 0.39/0.58 ; 0.000 0% Paramodulation (83 calls)
% 0.39/0.58 ; 0.000 0% Factoring (1 call)
% 0.39/0.58 ; 0.008 3% Condensing (950 calls)
% 0.39/0.58 ; 0.041 16% Forward subsumption (950 calls)
% 0.39/0.58 ; 0.004 2% Backward subsumption (164 calls)
% 0.39/0.58 ; 0.008 3% Clause clause subsumption (863 calls)
% 0.39/0.58 ; 0.046 18% Forward simplification (3,236 calls)
% 0.39/0.58 ; 0.006 2% Backward simplification (230 calls)
% 0.39/0.58 ; 0.000 0% Ordering (16 calls)
% 0.39/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.58 ; 0.000 0% Purity testing (1 call)
% 0.39/0.58 ; 0.022 9% Other
% 0.39/0.58 ; 0.252 Total
% 0.39/0.58 ; 0.255 Real time
% 0.39/0.58 ;
% 0.39/0.58 ; Term-hash-array has 154 terms in all.
% 0.39/0.58 ; Feature-vector-row-index has 52 entries (86 at peak, 164 added, 112 deleted).
% 0.39/0.58 ; Feature-vector-row-index has 100 nodes (286 at peak, 599 added, 499 deleted).
% 0.39/0.58 ; Retrieved 789 possibly forward subsuming rows in 950 calls.
% 0.39/0.58 ; Retrieved 78 possibly backward subsumed rows in 164 calls.
% 0.39/0.58 ; Path-index has 121 entries (152 at peak, 155 added, 34 deleted).
% 0.39/0.58 ; Path-index has 181 nodes (199 at peak, 201 added, 20 deleted).
% 0.39/0.58 ; Trie-index has 121 entries (152 at peak, 155 added, 34 deleted).
% 0.39/0.58 ; Trie-index has 196 nodes (255 at peak, 257 added, 61 deleted).
% 0.39/0.58 ; Retrieved 66 generalization terms in 418 calls.
% 0.39/0.58 ; Retrieved 67 instance terms in 65 calls.
% 0.39/0.58 ; Retrieved 93,502 unifiable terms in 21,630 calls.
% 0.39/0.58 ;
% 0.39/0.58 ; The agenda of backward simplifiable rows to process has 10 entries:
% 0.39/0.58 ; 10 with value 0
% 0.39/0.58 ; The agenda of rows to process has 1 entry:
% 0.39/0.58 ; 1 with value 10
% 0.39/0.58 ; The agenda of rows to give has 17 entries:
% 0.39/0.58 ; 9 with value (4 7) 4 with value (4 10) 1 with value (4 16)
% 0.39/0.58 ; 3 with value (4 9)
% 0.39/0.58 Evaluation took:
% 0.39/0.58 0.256 seconds of real time
% 0.39/0.58 0.231649 seconds of user run time
% 0.39/0.58 0.024399 seconds of system run time
% 0.39/0.58 [Run times include 0.005 seconds GC run time.]
% 0.39/0.58 0 calls to %EVAL
% 0.39/0.58 0 page faults and
% 0.39/0.58 23,509,480 bytes consed.
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T20:19:00
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 *
%------------------------------------------------------------------------------