TSTP Solution File: SEU406+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU406+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 : Tue Jul 19 14:22:20 EDT 2022
% Result : Theorem 0.53s 0.75s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 20 ( 9 unt; 6 nHn; 17 RR)
% Number of literals : 34 ( 3 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
r2_hidden('SKOLEMAAAV1',k2_xboole_0('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
cnf(2,negated_conjecture,
r2_hidden('SKOLEMAAAV2',k2_xboole_0('SKOLEMAAAV3','SKOLEMAAAV4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
cnf(3,negated_conjecture,
( ~ r2_hidden('SKOLEMAAAV1',k4_xboole_0('SKOLEMAAAV3','SKOLEMAAAV4'))
| ~ r2_hidden('SKOLEMAAAV2',k4_xboole_0('SKOLEMAAAV3','SKOLEMAAAV4')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
cnf(4,negated_conjecture,
( ~ r2_hidden('SKOLEMAAAV1','SKOLEMAAAV4')
| ~ r2_hidden('SKOLEMAAAV2','SKOLEMAAAV4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
cnf(5,negated_conjecture,
( ~ r2_hidden('SKOLEMAAAV1',k4_xboole_0('SKOLEMAAAV3','SKOLEMAAAV4'))
| ~ r2_hidden('SKOLEMAAAV2','SKOLEMAAAV4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
cnf(6,negated_conjecture,
( ~ r2_hidden('SKOLEMAAAV1','SKOLEMAAAV4')
| ~ r2_hidden('SKOLEMAAAV2',k4_xboole_0('SKOLEMAAAV3','SKOLEMAAAV4')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
cnf(8,axiom,
( X != k2_xboole_0(Y,Z)
| ~ r2_hidden(U,X)
| r2_hidden(U,Y)
| r2_hidden(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(9,axiom,
( X != k2_xboole_0(Y,Z)
| r2_hidden(U,X)
| ~ r2_hidden(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(22,axiom,
k2_xboole_0(X,k4_xboole_0(Y,X)) = k2_xboole_0(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
cnf(44,plain,
( r2_hidden('SKOLEMAAAV2','SKOLEMAAAV3')
| r2_hidden('SKOLEMAAAV2','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[8,2,theory(equality)]) ).
cnf(46,plain,
( r2_hidden('SKOLEMAAAV1','SKOLEMAAAV4')
| r2_hidden('SKOLEMAAAV1',k4_xboole_0('SKOLEMAAAV3','SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[8,22,1]) ).
cnf(137,plain,
( r2_hidden('SKOLEMAAAV1','SKOLEMAAAV4')
| r2_hidden('SKOLEMAAAV2','SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[5,46,44]) ).
cnf(140,plain,
r2_hidden('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[4,137,44]) ).
cnf(144,plain,
r2_hidden('SKOLEMAAAV2',k2_xboole_0('SKOLEMAAAV3',X)),
inference('HYPERRESOLVE',[status(thm)],[9,140,theory(equality)]) ).
cnf(153,plain,
( r2_hidden('SKOLEMAAAV2',X)
| r2_hidden('SKOLEMAAAV2',k4_xboole_0('SKOLEMAAAV3',X)) ),
inference('HYPERRESOLVE',[status(thm)],[8,144,22]) ).
cnf(365,plain,
( r2_hidden('SKOLEMAAAV2','SKOLEMAAAV4')
| r2_hidden('SKOLEMAAAV1','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[3,153,46]) ).
cnf(379,plain,
r2_hidden('SKOLEMAAAV1','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[5,365,46]) ).
cnf(380,plain,
~ r2_hidden('SKOLEMAAAV2','SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[4,379]) ).
cnf(382,plain,
~ r2_hidden('SKOLEMAAAV2',k4_xboole_0('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('REWRITE',[status(thm)],[6,379]) ).
cnf(385,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,380,22,144]),382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU406+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 16:38:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T16:38:37
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-19T16:38:37
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|k2_xboole_0| ?X ?Y) (|k2_xboole_0| ?Y ?X)).
% 0.18/0.48 ; Recognized right identity assertion (= (|k2_xboole_0| ?X |k1_xboole_0|) ?X).
% 0.18/0.48 ; Recognized right identity assertion (= (|k4_xboole_0| ?X |k1_xboole_0|) ?X).
% 0.53/0.75 ; Declaring k2_xboole_0 to be commutative.
% 0.53/0.75
% 0.53/0.75 #||
% 0.53/0.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.75 % SZS output start Refutation
% See solution above
% 0.53/0.75 ||#
% 0.53/0.75
% 0.53/0.75 ; Summary of computation:
% 0.53/0.75 ; 4977 formulas have been input or derived (from 153 formulas).
% 0.53/0.75 ; 385 ( 8%) were retained. Of these,
% 0.53/0.75 ; 70 (18%) were simplified or subsumed later,
% 0.53/0.75 ; 315 (82%) are still being kept.
% 0.53/0.75 ;
% 0.53/0.75 ; Run time in seconds excluding printing time:
% 0.53/0.75 ; 0.004 1% Read assertion file (1 call)
% 0.53/0.75 ; 0.002 1% Assert (24 calls)
% 0.53/0.75 ; 0.040 14% Process new row (4,013 calls)
% 0.53/0.75 ; 0.069 25% Resolution (304 calls)
% 0.53/0.75 ; 0.007 3% Paramodulation (152 calls)
% 0.53/0.75 ; 0.000 0% Factoring (33 calls)
% 0.53/0.75 ; 0.015 5% Condensing (607 calls)
% 0.53/0.75 ; 0.014 5% Forward subsumption (607 calls)
% 0.53/0.75 ; 0.001 0% Backward subsumption (135 calls)
% 0.53/0.75 ; 0.006 2% Clause clause subsumption (859 calls)
% 0.53/0.75 ; 0.076 27% Forward simplification (3,972 calls)
% 0.53/0.75 ; 0.005 2% Backward simplification (385 calls)
% 0.53/0.75 ; 0.005 2% Ordering (1,535 calls)
% 0.53/0.75 ; 0.000 0% Sortal reasoning (32 calls)
% 0.53/0.75 ; 0.000 0% Purity testing (1 call)
% 0.53/0.75 ; 0.033 12% Other
% 0.53/0.75 ; 0.277 Total
% 0.53/0.75 ; 0.279 Real time
% 0.53/0.75 ;
% 0.53/0.75 ; Term-hash-array has 587 terms in all.
% 0.53/0.75 ; Feature-vector-row-index has 82 entries (120 at peak, 135 added, 53 deleted).
% 0.53/0.75 ; Feature-vector-row-index has 275 nodes (512 at peak, 586 added, 311 deleted).
% 0.53/0.75 ; Retrieved 1,266 possibly forward subsuming rows in 607 calls.
% 0.53/0.75 ; Retrieved 105 possibly backward subsumed rows in 135 calls.
% 0.53/0.75 ; Path-index has 543 entries (561 at peak, 594 added, 51 deleted).
% 0.53/0.75 ; Path-index has 532 nodes (568 at peak, 579 added, 47 deleted).
% 0.53/0.75 ; Trie-index has 543 entries (561 at peak, 594 added, 51 deleted).
% 0.53/0.75 ; Trie-index has 1,516 nodes (1,567 at peak, 1,638 added, 122 deleted).
% 0.53/0.75 ; Retrieved 12,113 generalization terms in 14,836 calls.
% 0.53/0.75 ; Retrieved 272 instance terms in 249 calls.
% 0.53/0.75 ; Retrieved 36,116 unifiable terms in 4,403 calls.
% 0.53/0.75 ;
% 0.53/0.75 ; The agenda of rows to process has 28 entries:
% 0.53/0.75 ; 7 with value 12 1 with value 15 4 with value 18
% 0.53/0.75 ; 7 with value 13 2 with value 16 1 with value 19
% 0.53/0.75 ; 6 with value 14
% 0.53/0.75 ; The agenda of input rows to give has 1 entry:
% 0.53/0.75 ; 1 with value 7
% 0.53/0.75 ; The agenda of rows to give has 203 entries:
% 0.53/0.75 ; 1 with value (4 8) 30 with value (4 21) 5 with value (4 34)
% 0.53/0.75 ; 2 with value (4 11) 9 with value (4 22) 2 with value (4 36)
% 0.53/0.75 ; 1 with value (4 13) 18 with value (4 23) 1 with value (4 45)
% 0.53/0.75 ; 1 with value (4 15) 3 with value (4 24) 2 with value (4 46)
% 0.53/0.75 ; 19 with value (4 16) 8 with value (4 25) 1 with value (4 54)
% 0.53/0.75 ; 19 with value (4 17) 1 with value (4 26) 2 with value (4 55)
% 0.53/0.75 ; 15 with value (4 18) 5 with value (4 27) 1 with value (4 56)
% 0.53/0.75 ; 35 with value (4 19) 1 with value (4 28) 2 with value (4 57)
% 0.53/0.75 ; 16 with value (4 20) 3 with value (4 32)
% 0.53/0.75 Evaluation took:
% 0.53/0.75 0.28 seconds of real time
% 0.53/0.75 0.243467 seconds of user run time
% 0.53/0.75 0.036717 seconds of system run time
% 0.53/0.75 [Run times include 0.006 seconds GC run time.]
% 0.53/0.75 0 calls to %EVAL
% 0.53/0.75 0 page faults and
% 0.53/0.75 18,984,336 bytes consed.
% 0.53/0.75 :PROOF-FOUND
% 0.53/0.75 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T16:38:38
% 0.53/0.75 :PROOF-FOUND
% 0.53/0.75 *
%------------------------------------------------------------------------------