TSTP Solution File: COM012+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : Fri Jul 15 01:42:41 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of clauses : 14 ( 10 unt; 3 nHn; 14 RR)
% Number of literals : 23 ( 6 equ; 9 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ aElement0(X)
| ~ aRewritingSystem0(Y)
| ~ aElement0(Z)
| ~ aElement0(U)
| ~ sdtmndtplgtdt0(X,Y,Z)
| ~ sdtmndtplgtdt0(Z,Y,U)
| sdtmndtplgtdt0(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCTrans) ).
cnf(11,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).
cnf(12,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).
cnf(13,hypothesis,
aElement0(xy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).
cnf(14,hypothesis,
aElement0(xz),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).
cnf(18,negated_conjecture,
( xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(19,negated_conjecture,
sdtmndtasgtdt0(xx,xR,xy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(23,negated_conjecture,
( xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(25,negated_conjecture,
xx != xz,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(28,negated_conjecture,
~ sdtmndtplgtdt0(xx,xR,xz),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(29,negated_conjecture,
~ sdtmndtasgtdt0(xx,xR,xz),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(36,plain,
( xx = xy
| xy = xz ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,11,12,13,14,18,23]),28]) ).
cnf(42,plain,
xx = xy,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[29,36,theory(equality)]),19]) ).
cnf(46,plain,
$false,
inference('REWRITE',[status(thm)],[23,28,25,42,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 19:41:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T19:41:33
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-16T19:41:33
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 94 formulas have been input or derived (from 34 formulas).
% 0.20/0.53 ; 46 (49%) were retained. Of these,
% 0.20/0.53 ; 21 (46%) were simplified or subsumed later,
% 0.20/0.53 ; 25 (54%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.004 9% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (10 calls)
% 0.20/0.53 ; 0.006 13% Process new row (77 calls)
% 0.20/0.53 ; 0.006 13% Resolution (66 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (33 calls)
% 0.20/0.53 ; 0.000 0% Factoring (9 calls)
% 0.20/0.53 ; 0.000 0% Condensing (35 calls)
% 0.20/0.53 ; 0.000 0% Forward subsumption (35 calls)
% 0.20/0.53 ; 0.001 2% Backward subsumption (28 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.20/0.53 ; 0.000 0% Forward simplification (77 calls)
% 0.20/0.53 ; 0.002 4% Backward simplification (46 calls)
% 0.20/0.53 ; 0.000 0% Ordering (135 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.025 56% Other
% 0.20/0.53 ; 0.045 Total
% 0.20/0.53 ; 0.047 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 53 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 11 entries (27 at peak, 28 added, 17 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 42 nodes (174 at peak, 180 added, 138 deleted).
% 0.20/0.53 ; Retrieved 10 possibly forward subsuming rows in 35 calls.
% 0.20/0.53 ; Retrieved 3 possibly backward subsumed rows in 28 calls.
% 0.20/0.53 ; Path-index has 37 entries (58 at peak, 63 added, 26 deleted).
% 0.20/0.53 ; Path-index has 82 nodes (112 at peak, 117 added, 35 deleted).
% 0.20/0.53 ; Trie-index has 37 entries (58 at peak, 63 added, 26 deleted).
% 0.20/0.53 ; Trie-index has 76 nodes (133 at peak, 142 added, 66 deleted).
% 0.20/0.53 ; Retrieved 27 generalization terms in 106 calls.
% 0.20/0.53 ; Retrieved 17 instance terms in 17 calls.
% 0.20/0.53 ; Retrieved 3,048 unifiable terms in 1,025 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of backward simplifiable rows to process has 10 entries:
% 0.20/0.53 ; 10 with value 0
% 0.20/0.53 ; The agenda of rows to process has 7 entries:
% 0.20/0.53 ; 3 with value 11 1 with value 18 1 with value 20
% 0.20/0.53 ; 1 with value 15 1 with value 19
% 0.20/0.53 ; The agenda of input rows to give has 3 entries:
% 0.20/0.53 ; 1 with value 3 2 with value 5
% 0.20/0.53 ; The agenda of rows to give has 1 entry:
% 0.20/0.53 ; 1 with value (4 6)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.048 seconds of real time
% 0.20/0.53 0.041288 seconds of user run time
% 0.20/0.53 0.005942 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 2,714,904 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T19:41:33
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------