TSTP Solution File: NUM443+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM443+4 : 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 14:10:34 EDT 2022
% Result : Theorem 8.84s 9.01s
% Output : Refutation 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of clauses : 16 ( 12 unt; 2 nHn; 16 RR)
% Number of literals : 31 ( 3 equ; 16 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(31,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| ~ aInteger0(Z)
| Z = sz00
| ~ sdteqdtlpzmzozddtrp0(X,Y,Z)
| sdteqdtlpzmzozddtrp0(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModSym) ).
cnf(32,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| ~ aInteger0(Z)
| Z = sz00
| ~ aInteger0(U)
| ~ sdteqdtlpzmzozddtrp0(X,Y,Z)
| ~ sdteqdtlpzmzozddtrp0(Y,U,Z)
| sdteqdtlpzmzozddtrp0(X,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModTrn) ).
cnf(104,hypothesis,
aInteger0(xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1962) ).
cnf(105,hypothesis,
aInteger0(xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1962) ).
cnf(106,hypothesis,
xq != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1962) ).
cnf(107,hypothesis,
aInteger0(xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2010) ).
cnf(108,hypothesis,
aInteger0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2010) ).
cnf(114,negated_conjecture,
( ~ aElementOf0(X,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdteqdtlpzmzozddtrp0(X,xa,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(117,negated_conjecture,
( ~ aInteger0(X)
| ~ sdteqdtlpzmzozddtrp0(X,xa,xq)
| aElementOf0(X,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(118,negated_conjecture,
~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(124,negated_conjecture,
sdteqdtlpzmzozddtrp0(xc,xb,xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(127,negated_conjecture,
aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(256,plain,
sdteqdtlpzmzozddtrp0(xc,xa,xq),
inference('HYPERRESOLVE',[status(thm)],[114,127]) ).
cnf(341,plain,
~ sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference('UR-RESOLVE',[status(thm)],[117,107,118]) ).
cnf(915,plain,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
inference('UR-RESOLVE',[status(thm)],[31,108,107,105,106,124]) ).
cnf(16426,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[32,341,107,108,105,106,104,256]),915]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM443+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : Fri Jul 8 02:39:09 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 2022-07-08T02:39:09
% 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 2022-07-08T02:39:09
% 0.19/0.49 WARNING:
% 0.19/0.49 |isFinite0| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 8.84/9.01
% 8.84/9.01
% 8.84/9.01 #||
% 8.84/9.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.84/9.01 % SZS output start Refutation
% See solution above
% 8.84/9.01 ||#
% 8.84/9.01
% 8.84/9.01 ; Summary of computation:
% 8.84/9.01 ; 35905 formulas have been input or derived (from 152 formulas).
% 8.84/9.01 ; 16426 (46%) were retained. Of these,
% 8.84/9.01 ; 3271 (20%) were simplified or subsumed later,
% 8.84/9.01 ; 13155 (80%) are still being kept.
% 8.84/9.01 ;
% 8.84/9.01 ; Run time in seconds excluding printing time:
% 8.84/9.01 ; 0.014 0% Read assertion file (1 call)
% 8.84/9.01 ; 0.006 0% Assert (43 calls)
% 8.84/9.01 ; 1.547 18% Process new row (35,851 calls)
% 8.84/9.01 ; 5.519 65% Resolution (302 calls)
% 8.84/9.01 ; 0.001 0% Paramodulation (151 calls)
% 8.84/9.01 ; 0.005 0% Condensing (991 calls)
% 8.84/9.01 ; 0.089 1% Forward subsumption (991 calls)
% 8.84/9.01 ; 0.036 0% Backward subsumption (954 calls)
% 8.84/9.01 ; 0.008 0% Clause clause subsumption (3,167 calls)
% 8.84/9.01 ; 0.724 8% Forward simplification (35,849 calls)
% 8.84/9.01 ; 0.386 5% Backward simplification (16,425 calls)
% 8.84/9.01 ; 0.090 1% Ordering (17,957 calls)
% 8.84/9.01 ; 0.001 0% Sortal reasoning (32 calls)
% 8.84/9.01 ; 0.001 0% Purity testing (1 call)
% 8.84/9.01 ; 0.124 1% Other
% 8.84/9.01 ; 8.551 Total
% 8.84/9.01 ; 8.552 Real time
% 8.84/9.01 ;
% 8.84/9.01 ; Term-hash-array has 38,560 terms in all.
% 8.84/9.01 ; Feature-vector-row-index has 952 entries (952 at peak, 954 added, 2 deleted).
% 8.84/9.01 ; Feature-vector-row-index has 6,199 nodes (6,199 at peak, 6,213 added, 14 deleted).
% 8.84/9.01 ; Retrieved 2,667 possibly forward subsuming rows in 991 calls.
% 8.84/9.01 ; Retrieved 1,105 possibly backward subsumed rows in 954 calls.
% 8.84/9.01 ; Path-index has 32,661 entries (32,661 at peak, 40,942 added, 8,281 deleted).
% 8.84/9.01 ; Path-index has 2,103 nodes (2,103 at peak, 2,155 added, 52 deleted).
% 8.84/9.01 ; Trie-index has 32,661 entries (32,661 at peak, 40,942 added, 8,281 deleted).
% 8.84/9.01 ; Trie-index has 125,308 nodes (125,308 at peak, 157,421 added, 32,113 deleted).
% 8.84/9.01 ; Retrieved 52,540 generalization terms in 251,814 calls.
% 8.84/9.01 ; Retrieved 15,483 instance terms in 15,470 calls.
% 8.84/9.01 ; Retrieved 16,542,246 unifiable terms in 590,080 calls.
% 8.84/9.01 ;
% 8.84/9.01 ; The agenda of rows to process has 5 entries:
% 8.84/9.01 ; 1 with value 7 1 with value 10 1 with value 13
% 8.84/9.01 ; 1 with value 9 1 with value 11
% 8.84/9.01 ; The agenda of rows to give has 13003 entries:
% 8.84/9.01 ; 2 with value (4 6) 306 with value (4 20) 5 with value (4 33)
% 8.84/9.01 ; 64 with value (4 7) 2377 with value (4 21) 5 with value (4 35)
% 8.84/9.01 ; 48 with value (4 8) 905 with value (4 22) 35 with value (4 37)
% 8.84/9.01 ; 15 with value (4 9) 828 with value (4 23) 8 with value (4 38)
% 8.84/9.01 ; 227 with value (4 10) 1127 with value (4 24) 35 with value (4 39)
% 8.84/9.01 ; 245 with value (4 11) 421 with value (4 25) 8 with value (4 41)
% 8.84/9.01 ; 63 with value (4 12) 293 with value (4 26) 40 with value (4 42)
% 8.84/9.01 ; 314 with value (4 13) 373 with value (4 27) 56 with value (4 44)
% 8.84/9.01 ; 530 with value (4 14) 9 with value (4 28) 40 with value (4 45)
% 8.84/9.01 ; 631 with value (4 15) 48 with value (4 29) 120 with value (4 47)
% 8.84/9.01 ; 445 with value (4 16) 32 with value (4 30) 1 with value (4 48)
% 8.84/9.01 ; 1032 with value (4 17) 4 with value (4 31) 65 with value (4 51)
% 8.84/9.01 ; 458 with value (4 18) 8 with value (4 32) 1 with value (4 55)
% 8.84/9.01 ; 1779 with value (4 19)
% 8.84/9.01 Evaluation took:
% 8.84/9.01 8.554 seconds of real time
% 8.84/9.01 8.202139 seconds of user run time
% 8.84/9.02 0.351836 seconds of system run time
% 8.84/9.02 [Run times include 1.103 seconds GC run time.]
% 8.84/9.02 0 calls to %EVAL
% 8.84/9.02 0 page faults and
% 8.84/9.02 624,406,672 bytes consed.
% 8.84/9.02 :PROOF-FOUND
% 8.84/9.02 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T02:39:18
% 8.84/9.02 :PROOF-FOUND
% 8.84/9.02 *
%------------------------------------------------------------------------------