TSTP Solution File: RNG077+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG077+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Mon Jul 18 20:40:43 EDT 2022
% Result : Theorem 0.65s 0.81s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 24 ( 8 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
( ~ aScalar0(X)
| ~ aScalar0(Y)
| aScalar0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
cnf(20,axiom,
( ~ aScalar0(X)
| ~ aScalar0(Y)
| ~ aScalar0(Z)
| sdtpldt0(sdtpldt0(X,Y),Z) = sdtpldt0(X,sdtpldt0(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
cnf(24,axiom,
( ~ aScalar0(X)
| ~ aScalar0(Y)
| ~ aScalar0(Z)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
cnf(25,plain,
( ~ aScalar0(X)
| ~ aScalar0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
inference('CONDENSE',[status(thm)],[24]) ).
cnf(77,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
cnf(83,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
cnf(87,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
cnf(88,hypothesis,
xP = sdtasdt0(xE,xH),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
cnf(96,negated_conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(97,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference('REWRITE',[status(thm)],[96,88,theory(equality)]) ).
cnf(404,plain,
aScalar0(sdtasdt0(xH,xH)),
inference('HYPERRESOLVE',[status(thm)],[10,83,83]) ).
cnf(700,plain,
sdtasdt0(xH,xE) = xP,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,83,77]),88,theory(equality)]) ).
cnf(701,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))),
inference('REWRITE',[status(thm)],[97,700,theory(equality)]) ).
cnf(1195,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[20,87,87,701]),404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG077+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon May 30 12:44:55 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T12:44:55
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-30T12:44:55
% 0.65/0.81
% 0.65/0.81
% 0.65/0.81 #||
% 0.65/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.81 % SZS output start Refutation
% See solution above
% 0.65/0.81 ||#
% 0.65/0.81
% 0.65/0.81 ; Summary of computation:
% 0.65/0.81 ; 7420 formulas have been input or derived (from 77 formulas).
% 0.65/0.81 ; 1195 (16%) were retained. Of these,
% 0.65/0.81 ; 15 ( 1%) were simplified or subsumed later,
% 0.65/0.81 ; 1180 (99%) are still being kept.
% 0.65/0.81 ;
% 0.65/0.81 ; Run time in seconds excluding printing time:
% 0.65/0.81 ; 0.014 4% Read assertion file (1 call)
% 0.65/0.81 ; 0.001 0% Assert (59 calls)
% 0.65/0.81 ; 0.074 21% Process new row (2,991 calls)
% 0.65/0.81 ; 0.177 50% Resolution (152 calls)
% 0.65/0.81 ; 0.000 0% Paramodulation (76 calls)
% 0.65/0.81 ; 0.002 1% Condensing (210 calls)
% 0.65/0.81 ; 0.005 1% Forward subsumption (210 calls)
% 0.65/0.81 ; 0.000 0% Backward subsumption (134 calls)
% 0.65/0.81 ; 0.001 0% Clause clause subsumption (119 calls)
% 0.65/0.81 ; 0.034 10% Forward simplification (2,991 calls)
% 0.65/0.81 ; 0.006 2% Backward simplification (1,190 calls)
% 0.65/0.81 ; 0.004 1% Ordering (944 calls)
% 0.65/0.81 ; 0.000 0% Sortal reasoning (32 calls)
% 0.65/0.81 ; 0.000 0% Purity testing (1 call)
% 0.65/0.81 ; 0.035 10% Other
% 0.65/0.81 ; 0.353 Total
% 0.65/0.81 ; 0.355 Real time
% 0.65/0.81 ;
% 0.65/0.81 ; Term-hash-array has 2,365 terms in all.
% 0.65/0.81 ; Feature-vector-row-index has 133 entries (133 at peak, 134 added, 1 deleted).
% 0.65/0.81 ; Feature-vector-row-index has 380 nodes (380 at peak, 387 added, 7 deleted).
% 0.65/0.81 ; Retrieved 190 possibly forward subsuming rows in 210 calls.
% 0.65/0.81 ; Retrieved 46 possibly backward subsumed rows in 134 calls.
% 0.65/0.81 ; Path-index has 2,372 entries (2,372 at peak, 2,383 added, 11 deleted).
% 0.65/0.81 ; Path-index has 987 nodes (987 at peak, 1,001 added, 14 deleted).
% 0.65/0.81 ; Trie-index has 2,372 entries (2,372 at peak, 2,383 added, 11 deleted).
% 0.65/0.81 ; Trie-index has 5,008 nodes (5,008 at peak, 5,044 added, 36 deleted).
% 0.65/0.81 ; Retrieved 2,354 generalization terms in 9,322 calls.
% 0.65/0.81 ; Retrieved 1,055 instance terms in 1,055 calls.
% 0.65/0.81 ; Retrieved 403,353 unifiable terms in 14,970 calls.
% 0.65/0.81 ;
% 0.65/0.81 ; The agenda of rows to process has 4394 entries:
% 0.65/0.81 ; 4394 with value 15
% 0.65/0.81 ; The agenda of input rows to give has 16 entries:
% 0.65/0.81 ; 1 with value 23 3 with value 27 1 with value 39
% 0.65/0.81 ; 1 with value 24 2 with value 29 1 with value 41
% 0.65/0.81 ; 2 with value 25 2 with value 33 1 with value 43
% 0.65/0.81 ; 1 with value 26 1 with value 38
% 0.65/0.81 ; The agenda of rows to give has 1088 entries:
% 0.65/0.81 ; 17 with value (4 5) 86 with value (4 9) 2 with value (4 12)
% 0.65/0.81 ; 16 with value (4 6) 177 with value (4 10) 396 with value (4 13)
% 0.65/0.81 ; 285 with value (4 7) 36 with value (4 11) 4 with value (4 17)
% 0.65/0.81 ; 69 with value (4 8)
% 0.65/0.81 Evaluation took:
% 0.65/0.81 0.355 seconds of real time
% 0.65/0.81 0.325026 seconds of user run time
% 0.65/0.81 0.029906 seconds of system run time
% 0.65/0.81 [Run times include 0.013 seconds GC run time.]
% 0.65/0.81 0 calls to %EVAL
% 0.65/0.81 0 page faults and
% 0.65/0.81 23,254,480 bytes consed.
% 0.65/0.81 :PROOF-FOUND
% 0.65/0.81 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T12:44:55
% 0.65/0.81 :PROOF-FOUND
% 0.65/0.81 *
%------------------------------------------------------------------------------