TSTP Solution File: SYN036-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN036-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 21 11:56:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of clauses : 47 ( 5 unt; 30 nHn; 17 RR)
% Number of literals : 172 ( 0 equ; 63 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 63 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ p(cx)
| ~ q(cw)
| p(X)
| q(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,negated_conjecture,
( ~ p(cx)
| ~ q(X)
| p(Y)
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_3,negated_conjecture,
( ~ p(X)
| ~ q(cw)
| p(cx)
| q(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,negated_conjecture,
( ~ p(X)
| ~ q(Y)
| p(cx)
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_5,negated_conjecture,
( ~ p(cx)
| ~ p(X)
| ~ p(fy5(X))
| ~ q(cw)
| q(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_6,negated_conjecture,
( ~ p(cx)
| ~ p(X)
| ~ p(fy5(X))
| ~ q(Y)
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_7,negated_conjecture,
( ~ p(cx)
| ~ q(cw)
| ~ q(X)
| ~ q(fz5(X))
| p(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_10,negated_conjecture,
( ~ p(cx)
| p(X)
| q(cw)
| q(Y)
| q(fz(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_15,negated_conjecture,
( ~ p(X)
| p(cx)
| q(cw)
| q(Y)
| q(fz(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_16,negated_conjecture,
( ~ p(X)
| ~ q(cw)
| ~ q(Y)
| ~ q(fz5(Y))
| p(cx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_19,negated_conjecture,
( ~ q(cw)
| p(cx)
| p(X)
| p(fy(X))
| q(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_20,negated_conjecture,
( ~ q(X)
| p(cx)
| p(Y)
| p(fy(Y))
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_22,negated_conjecture,
( ~ p(cx)
| ~ p(X)
| ~ p(fy(X))
| q(cw)
| q(Y)
| q(fz(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_23,negated_conjecture,
( ~ p(cx)
| ~ p(X)
| ~ p(fy5(X))
| ~ q(cw)
| ~ q(Y)
| ~ q(fz5(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
cnf(clause_30,negated_conjecture,
( ~ q(cw)
| ~ q(X)
| ~ q(fz(X))
| p(cx)
| p(Y)
| p(fy(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
cnf(clause_32,negated_conjecture,
( p(cx)
| p(X)
| p(fy5(X))
| q(cw)
| q(Y)
| q(fz5(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
cnf(34,plain,
( p(cx)
| p(fy5(cx))
| q(cw)
| q(X)
| q(fz5(X)) ),
inference('FACTOR',[status(thm)],[clause_32]) ).
cnf(37,plain,
( p(cx)
| p(fy5(cx))
| q(cw)
| q(fz5(cw)) ),
inference('FACTOR',[status(thm)],[34]) ).
cnf(38,plain,
( p(cx)
| p(fy5(cx))
| q(cw)
| p(X)
| p(fy(X)) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_20,34])]) ).
cnf(40,plain,
( p(cx)
| p(fy5(cx))
| q(cw)
| p(fy(fy5(cx))) ),
inference('FACTOR',[status(thm)],[38]) ).
cnf(46,plain,
( p(cx)
| p(fy5(cx))
| p(fy(fy5(cx)))
| q(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_19,40])]) ).
cnf(47,plain,
( p(cx)
| p(fy5(cx))
| p(fy(fy5(cx))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_30,46,46,46])]) ).
cnf(48,plain,
( p(cx)
| p(fy5(cx))
| q(cw) ),
inference('HYPERRESOLVE',[status(thm)],[clause_4,47,37]) ).
cnf(49,plain,
( p(cx)
| p(fy5(cx))
| q(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_3,48,47]) ).
cnf(50,plain,
( p(cx)
| p(fy5(cx)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_16,49,47,49,49]) ).
cnf(51,plain,
( p(cx)
| q(cw)
| q(X)
| q(fz(X)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_15,50]) ).
cnf(53,plain,
( p(cx)
| q(cw) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_4,51,50])]) ).
cnf(54,plain,
( p(cx)
| q(X) ),
inference('HYPERRESOLVE',[status(thm)],[clause_3,53,50]) ).
cnf(55,plain,
p(cx),
inference('HYPERRESOLVE',[status(thm)],[clause_16,54,50,54,54]) ).
cnf(56,plain,
( ~ q(cw)
| p(X)
| q(Y) ),
inference('REWRITE',[status(thm)],[clause_1,55]) ).
cnf(57,plain,
( ~ q(X)
| p(Y)
| q(cw) ),
inference('REWRITE',[status(thm)],[clause_2,55]) ).
cnf(58,plain,
( ~ p(X)
| ~ p(fy5(X))
| ~ q(cw)
| q(Y) ),
inference('REWRITE',[status(thm)],[clause_5,55]) ).
cnf(59,plain,
( ~ p(X)
| ~ p(fy5(X))
| ~ q(Y)
| q(cw) ),
inference('REWRITE',[status(thm)],[clause_6,55]) ).
cnf(60,plain,
( ~ q(cw)
| ~ q(X)
| ~ q(fz5(X))
| p(Y) ),
inference('REWRITE',[status(thm)],[clause_7,55]) ).
cnf(63,plain,
( p(X)
| q(cw)
| q(Y)
| q(fz(Y)) ),
inference('REWRITE',[status(thm)],[clause_10,55]) ).
cnf(65,plain,
( ~ p(X)
| ~ p(fy(X))
| q(cw)
| q(Y)
| q(fz(Y)) ),
inference('REWRITE',[status(thm)],[clause_22,55]) ).
cnf(66,plain,
( ~ p(X)
| ~ p(fy5(X))
| ~ q(cw)
| ~ q(Y)
| ~ q(fz5(Y)) ),
inference('REWRITE',[status(thm)],[clause_23,55]) ).
cnf(67,plain,
( q(cw)
| p(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[57,63])]) ).
cnf(68,plain,
( p(X)
| q(Y) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[56,67])]) ).
cnf(69,plain,
p(X),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[60,68,68,68])]) ).
cnf(70,plain,
( ~ q(cw)
| q(X) ),
inference('REWRITE',[status(thm)],[58,69]) ).
cnf(71,plain,
( ~ q(X)
| q(cw) ),
inference('REWRITE',[status(thm)],[59,69]) ).
cnf(72,plain,
( q(cw)
| q(X)
| q(fz(X)) ),
inference('REWRITE',[status(thm)],[65,69]) ).
cnf(73,plain,
( ~ q(cw)
| ~ q(X)
| ~ q(fz5(X)) ),
inference('REWRITE',[status(thm)],[66,69]) ).
cnf(74,plain,
q(cw),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[71,72])]) ).
cnf(75,plain,
q(X),
inference('REWRITE',[status(thm)],[70,74]) ).
cnf(76,plain,
$false,
inference('REWRITE',[status(thm)],[73,75,74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN036-4 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % 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 Jul 12 01:18:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:18:09
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-12T01:18:09
% 0.19/0.56
% 0.19/0.56
% 0.19/0.56 #||
% 0.19/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.56 ||#
% 0.19/0.56
% 0.19/0.56 ; Summary of computation:
% 0.19/0.56 ; 445 formulas have been input or derived (from 65 formulas).
% 0.19/0.56 ; 76 (17%) were retained. Of these,
% 0.19/0.56 ; 73 (96%) were simplified or subsumed later,
% 0.19/0.56 ; 3 ( 4%) are still being kept.
% 0.19/0.56 ;
% 0.19/0.56 ; Run time in seconds excluding printing time:
% 0.19/0.56 ; 0.008 9% Read assertion file (1 call)
% 0.19/0.56 ; 0.002 2% Assert (32 calls)
% 0.19/0.56 ; 0.007 8% Process new row (391 calls)
% 0.19/0.56 ; 0.018 20% Resolution (128 calls)
% 0.19/0.56 ; 0.002 2% Paramodulation (64 calls)
% 0.19/0.56 ; 0.001 1% Factoring (21 calls)
% 0.19/0.56 ; 0.016 18% Condensing (130 calls)
% 0.19/0.56 ; 0.005 6% Forward subsumption (128 calls)
% 0.19/0.56 ; 0.003 3% Backward subsumption (70 calls)
% 0.19/0.56 ; 0.001 1% Clause clause subsumption (115 calls)
% 0.19/0.56 ; 0.005 6% Forward simplification (133 calls)
% 0.19/0.56 ; 0.001 1% Backward simplification (75 calls)
% 0.19/0.56 ; 0.000 0% Ordering (163 calls)
% 0.19/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.56 ; 0.000 0% Purity testing (1 call)
% 0.19/0.56 ; 0.021 23% Other
% 0.19/0.56 ; 0.090 Total
% 0.19/0.56 ; 0.096 Real time
% 0.19/0.56 ;
% 0.19/0.56 ; Term-hash-array has 43 terms in all.
% 0.19/0.56 ; Feature-vector-row-index has 0 entries (41 at peak, 70 added, 70 deleted).
% 0.19/0.56 ; Feature-vector-row-index has 1 node (234 at peak, 360 added, 359 deleted).
% 0.19/0.56 ; Retrieved 118 possibly forward subsuming rows in 128 calls.
% 0.19/0.56 ; Retrieved 48 possibly backward subsumed rows in 70 calls.
% 0.19/0.56 ; Path-index has 2 entries (45 at peak, 80 added, 78 deleted).
% 0.19/0.56 ; Path-index has 15 nodes (35 at peak, 59 added, 44 deleted).
% 0.19/0.56 ; Trie-index has 2 entries (45 at peak, 80 added, 78 deleted).
% 0.19/0.56 ; Trie-index has 5 nodes (35 at peak, 74 added, 69 deleted).
% 0.19/0.56 ; Retrieved 7 generalization terms in 32 calls.
% 0.19/0.56 ; Retrieved 7 instance terms in 4 calls.
% 0.19/0.56 ; Retrieved 6,928 unifiable terms in 1,038 calls.
% 0.19/0.56 ;
% 0.19/0.56 ; The agenda of rows to process has 1 entry:
% 0.19/0.56 ; 1 with value 11
% 0.19/0.56 ; The agenda of input rows to give has 1 entry:
% 0.19/0.56 ; 1 with value 3
% 0.19/0.56 ; The agenda of rows to give has 1 entry:
% 0.19/0.56 ; 1 with value (4 6)
% 0.19/0.56 Evaluation took:
% 0.19/0.56 0.097 seconds of real time
% 0.19/0.56 0.085679 seconds of user run time
% 0.19/0.56 0.010704 seconds of system run time
% 0.19/0.56 0 calls to %EVAL
% 0.19/0.56 0 page faults and
% 0.19/0.56 8,090,448 bytes consed.
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:18:09
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 *
%------------------------------------------------------------------------------