TSTP Solution File: SYN036-3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 21 11:56:48 EDT 2022
% Result : Unsatisfiable 0.22s 0.56s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 30
% Syntax : Number of clauses : 83 ( 10 unt; 45 nHn; 61 RR)
% Number of literals : 202 ( 0 equ; 50 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 34 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ n2
| ~ n9
| ~ n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_4,negated_conjecture,
( n2
| n9
| n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_6,negated_conjecture,
( ~ n2
| n9
| n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_7,negated_conjecture,
( n2
| ~ n9
| ~ n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_9,negated_conjecture,
( ~ p(s8)
| n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_10,negated_conjecture,
( ~ n8
| p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_11,negated_conjecture,
( ~ p(X)
| n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_12,negated_conjecture,
( ~ n7
| p(s7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_13,negated_conjecture,
( ~ n5(X)
| n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
cnf(clause_14,negated_conjecture,
( ~ n6
| n5(s6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_15,negated_conjecture,
( ~ q(X)
| ~ q(s5(X))
| n5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_16,negated_conjecture,
( q(X)
| q(s5(X))
| n5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_17,negated_conjecture,
( ~ n5(X)
| ~ q(X)
| q(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_18,negated_conjecture,
( ~ n5(X)
| q(X)
| ~ q(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
cnf(clause_19,negated_conjecture,
( ~ q(s4)
| n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_20,negated_conjecture,
( ~ n4
| q(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_21,negated_conjecture,
( ~ q(X)
| n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
cnf(clause_22,negated_conjecture,
( ~ n3
| q(s3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_23,negated_conjecture,
( ~ n1(X)
| n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
cnf(clause_24,negated_conjecture,
( ~ n2
| n1(s2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
cnf(clause_25,negated_conjecture,
( ~ p(X)
| ~ p(s1(X))
| n1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
cnf(clause_26,negated_conjecture,
( p(X)
| p(s1(X))
| n1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
cnf(clause_27,negated_conjecture,
( ~ n1(X)
| ~ p(X)
| p(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
cnf(clause_28,negated_conjecture,
( ~ n1(X)
| p(X)
| ~ p(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
cnf(clause_29,negated_conjecture,
( ~ n3
| ~ n4
| n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
cnf(clause_30,negated_conjecture,
( n3
| n4
| n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
cnf(clause_31,negated_conjecture,
( ~ n3
| n4
| ~ n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
cnf(clause_33,negated_conjecture,
( ~ n7
| ~ n8
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
cnf(clause_34,negated_conjecture,
( n7
| n8
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
cnf(clause_35,negated_conjecture,
( ~ n7
| n8
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).
cnf(37,plain,
( n7
| n10
| p(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_10,clause_34]) ).
cnf(38,plain,
( q(X)
| n5(X)
| n3 ),
inference('HYPERRESOLVE',[status(thm)],[clause_21,clause_16]) ).
cnf(39,plain,
( p(X)
| n1(X)
| n7 ),
inference('HYPERRESOLVE',[status(thm)],[clause_11,clause_26]) ).
cnf(40,plain,
( n7
| n10 ),
inference('HYPERRESOLVE',[status(thm)],[clause_11,37]) ).
cnf(41,plain,
( n10
| p(s7) ),
inference('HYPERRESOLVE',[status(thm)],[clause_12,40]) ).
cnf(42,plain,
( n5(X)
| n3 ),
inference('HYPERRESOLVE',[status(thm)],[clause_21,38]) ).
cnf(43,plain,
( n3
| n6 ),
inference('HYPERRESOLVE',[status(thm)],[clause_13,42]) ).
cnf(44,plain,
( n3
| n4
| n2
| n10 ),
inference('HYPERRESOLVE',[status(thm)],[clause_7,43,clause_30]) ).
cnf(45,plain,
( n1(X)
| n7 ),
inference('HYPERRESOLVE',[status(thm)],[clause_11,39]) ).
cnf(46,plain,
( n7
| n2 ),
inference('HYPERRESOLVE',[status(thm)],[clause_23,45]) ).
cnf(48,plain,
( n3
| n2
| n10
| q(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_20,44]) ).
cnf(49,plain,
( n3
| n2
| n10 ),
inference('HYPERRESOLVE',[status(thm)],[clause_21,48]) ).
cnf(50,plain,
( n2
| n10
| n6
| n4 ),
inference('HYPERRESOLVE',[status(thm)],[clause_31,49,clause_4]) ).
cnf(51,plain,
( n2
| n10
| q(s3) ),
inference('HYPERRESOLVE',[status(thm)],[clause_22,49]) ).
cnf(52,plain,
( n2
| n10
| n4
| n5(s6) ),
inference('HYPERRESOLVE',[status(thm)],[clause_14,50]) ).
cnf(53,plain,
( n2
| n10
| n4
| q(s6) ),
inference('HYPERRESOLVE',[status(thm)],[clause_18,52,51]) ).
cnf(54,plain,
( n2
| n10
| n4
| q(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_17,53,52]) ).
cnf(55,plain,
( n2
| n10
| n4 ),
inference('HYPERRESOLVE',[status(thm)],[clause_19,54]) ).
cnf(56,plain,
( n2
| n10
| n9 ),
inference('HYPERRESOLVE',[status(thm)],[clause_29,55,49]) ).
cnf(57,plain,
( n2
| n10
| q(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_20,55]) ).
cnf(58,plain,
( n2
| n10
| n5(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_15,57,57]) ).
cnf(59,plain,
( n2
| n10
| n6 ),
inference('HYPERRESOLVE',[status(thm)],[clause_13,58]) ).
cnf(60,plain,
( n2
| n10 ),
inference('HYPERRESOLVE',[status(thm)],[clause_7,59,56]) ).
cnf(62,plain,
( n10
| n1(s2) ),
inference('HYPERRESOLVE',[status(thm)],[clause_24,60]) ).
cnf(63,plain,
( n10
| p(s2) ),
inference('HYPERRESOLVE',[status(thm)],[clause_28,62,41]) ).
cnf(64,plain,
( n10
| p(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_27,63,62]) ).
cnf(65,plain,
( n10
| n8 ),
inference('HYPERRESOLVE',[status(thm)],[clause_9,64]) ).
cnf(67,plain,
n10,
inference('HYPERRESOLVE',[status(thm)],[clause_33,65,40]) ).
cnf(68,plain,
( ~ n2
| ~ n9
| ~ n6 ),
inference('REWRITE',[status(thm)],[clause_1,67]) ).
cnf(70,plain,
( ~ n2
| n9
| n6 ),
inference('REWRITE',[status(thm)],[clause_6,67]) ).
cnf(72,plain,
( ~ n7
| n8 ),
inference('REWRITE',[status(thm)],[clause_35,67]) ).
cnf(74,plain,
( n2
| n8 ),
inference('HYPERRESOLVE',[status(thm)],[72,46]) ).
cnf(76,plain,
( n2
| p(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_10,74]) ).
cnf(77,plain,
( n2
| n1(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_25,76,76]) ).
cnf(78,plain,
n2,
inference('HYPERRESOLVE',[status(thm)],[clause_23,77]) ).
cnf(80,plain,
( ~ n9
| ~ n6 ),
inference('REWRITE',[status(thm)],[68,78]) ).
cnf(81,plain,
( n9
| n6 ),
inference('REWRITE',[status(thm)],[70,78]) ).
cnf(82,plain,
( n3
| n4 ),
inference('HYPERRESOLVE',[status(thm)],[80,clause_30,43]) ).
cnf(84,plain,
( n3
| q(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_20,82]) ).
cnf(85,plain,
n3,
inference('HYPERRESOLVE',[status(thm)],[clause_21,84]) ).
cnf(86,plain,
q(s3),
inference('REWRITE',[status(thm)],[clause_22,85]) ).
cnf(87,plain,
( ~ n4
| n9 ),
inference('REWRITE',[status(thm)],[clause_29,85]) ).
cnf(88,plain,
( n4
| ~ n9 ),
inference('REWRITE',[status(thm)],[clause_31,85]) ).
cnf(89,plain,
( n6
| n4 ),
inference('HYPERRESOLVE',[status(thm)],[88,81]) ).
cnf(90,plain,
( n4
| n5(s6) ),
inference('HYPERRESOLVE',[status(thm)],[clause_14,89]) ).
cnf(91,plain,
( n4
| q(s6) ),
inference('HYPERRESOLVE',[status(thm)],[clause_18,90,86]) ).
cnf(92,plain,
( n4
| q(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_17,91,90]) ).
cnf(93,plain,
n4,
inference('HYPERRESOLVE',[status(thm)],[clause_19,92]) ).
cnf(94,plain,
q(X),
inference('REWRITE',[status(thm)],[clause_20,93]) ).
cnf(95,plain,
n5(X),
inference('REWRITE',[status(thm)],[clause_15,94]) ).
cnf(96,plain,
n6,
inference('REWRITE',[status(thm)],[clause_13,95]) ).
cnf(97,plain,
~ n9,
inference('REWRITE',[status(thm)],[80,96]) ).
cnf(98,plain,
$false,
inference('REWRITE',[status(thm)],[87,97,93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 14:28:55 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:28:55
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-11T14:28:55
% 0.22/0.56
% 0.22/0.56
% 0.22/0.56 #||
% 0.22/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.56 % SZS output start Refutation
% See solution above
% 0.22/0.57 ||#
% 0.22/0.57
% 0.22/0.57 ; Summary of computation:
% 0.22/0.57 ; 241 formulas have been input or derived (from 90 formulas).
% 0.22/0.57 ; 98 (41%) were retained. Of these,
% 0.22/0.57 ; 76 (78%) were simplified or subsumed later,
% 0.22/0.57 ; 22 (22%) are still being kept.
% 0.22/0.57 ;
% 0.22/0.57 ; Run time in seconds excluding printing time:
% 0.22/0.57 ; 0.005 9% Read assertion file (1 call)
% 0.22/0.57 ; 0.001 2% Assert (36 calls)
% 0.22/0.57 ; 0.006 11% Process new row (234 calls)
% 0.22/0.57 ; 0.005 9% Resolution (178 calls)
% 0.22/0.57 ; 0.000 0% Paramodulation (89 calls)
% 0.22/0.57 ; 0.000 0% Factoring (45 calls)
% 0.22/0.57 ; 0.001 2% Condensing (161 calls)
% 0.22/0.57 ; 0.004 8% Forward subsumption (161 calls)
% 0.22/0.57 ; 0.003 6% Backward subsumption (87 calls)
% 0.22/0.57 ; 0.000 0% Clause clause subsumption (106 calls)
% 0.22/0.57 ; 0.001 2% Forward simplification (174 calls)
% 0.22/0.57 ; 0.002 4% Backward simplification (98 calls)
% 0.22/0.57 ; 0.000 0% Ordering (121 calls)
% 0.22/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.57 ; 0.000 0% Purity testing (1 call)
% 0.22/0.57 ; 0.025 47% Other
% 0.22/0.57 ; 0.053 Total
% 0.22/0.57 ; 0.060 Real time
% 0.22/0.57 ;
% 0.22/0.57 ; Term-hash-array has 18 terms in all.
% 0.22/0.57 ; Feature-vector-row-index has 12 entries (47 at peak, 87 added, 75 deleted).
% 0.22/0.57 ; Feature-vector-row-index has 29 nodes (129 at peak, 210 added, 181 deleted).
% 0.22/0.57 ; Retrieved 100 possibly forward subsuming rows in 161 calls.
% 0.22/0.57 ; Retrieved 28 possibly backward subsumed rows in 87 calls.
% 0.22/0.57 ; Path-index has 22 entries (32 at peak, 39 added, 17 deleted).
% 0.22/0.57 ; Path-index has 30 nodes (39 at peak, 46 added, 16 deleted).
% 0.22/0.57 ; Trie-index has 22 entries (32 at peak, 39 added, 17 deleted).
% 0.22/0.57 ; Trie-index has 28 nodes (39 at peak, 46 added, 18 deleted).
% 0.22/0.57 ; Retrieved 4 generalization terms in 10 calls.
% 0.22/0.57 ; Retrieved 13 instance terms in 10 calls.
% 0.22/0.57 ; Retrieved 727 unifiable terms in 442 calls.
% 0.22/0.57 ;
% 0.22/0.57 ; The agenda of rows to process has 7 entries:
% 0.22/0.57 ; 5 with value 9 1 with value 12 1 with value 17
% 0.22/0.57 ; The agenda of input rows to give has 4 entries:
% 0.22/0.57 ; 2 with value 1 2 with value 3
% 0.22/0.57 ; The agenda of rows to give has 3 entries:
% 0.22/0.57 ; 1 with value (4 6) 1 with value (4 10) 1 with value (4 21)
% 0.22/0.57 Evaluation took:
% 0.22/0.57 0.06 seconds of real time
% 0.22/0.57 0.046815 seconds of user run time
% 0.22/0.57 0.013805 seconds of system run time
% 0.22/0.57 0 calls to %EVAL
% 0.22/0.57 0 page faults and
% 0.22/0.57 6,392,272 bytes consed.
% 0.22/0.57 :PROOF-FOUND
% 0.22/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:28:55
% 0.22/0.57 :PROOF-FOUND
% 0.22/0.57 *
%------------------------------------------------------------------------------