TSTP Solution File: RNG086+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG086+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 20:40:45 EDT 2022
% Result : Theorem 6.75s 6.92s
% Output : Refutation 6.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 29 ( 6 equ; 16 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(30,axiom,
( ~ aSet0(X)
| ~ aSet0(Y)
| Z != sdtpldt1(X,Y)
| ~ aElementOf0(U,Z)
| aElementOf0('SKOLEMAAAV3'(X,Y,U),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).
cnf(31,axiom,
( ~ aSet0(X)
| ~ aSet0(Y)
| Z != sdtpldt1(X,Y)
| ~ aElementOf0(U,Z)
| aElementOf0('SKOLEMAAAV4'(X,Y,U),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).
cnf(32,axiom,
( ~ aSet0(X)
| ~ aSet0(Y)
| Z != sdtpldt1(X,Y)
| ~ aElementOf0(U,Z)
| sdtpldt0('SKOLEMAAAV3'(X,Y,U),'SKOLEMAAAV4'(X,Y,U)) = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).
cnf(45,axiom,
( ~ aIdeal0(X)
| aSet0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(53,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
cnf(54,hypothesis,
aIdeal0(xJ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
cnf(55,hypothesis,
aElementOf0(xx,sdtpldt1(xI,xJ)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
cnf(58,negated_conjecture,
( ~ aElementOf0(X,xI)
| ~ aElementOf0(Y,xJ)
| xx != sdtpldt0(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(59,plain,
aSet0(xJ),
inference('HYPERRESOLVE',[status(thm)],[45,54]) ).
cnf(60,plain,
aSet0(xI),
inference('HYPERRESOLVE',[status(thm)],[45,53]) ).
cnf(161,plain,
aElementOf0('SKOLEMAAAV4'(xI,xJ,xx),xJ),
inference('HYPERRESOLVE',[status(thm)],[31,60,59,55,theory(equality)]) ).
cnf(163,plain,
aElementOf0('SKOLEMAAAV3'(xI,xJ,xx),xI),
inference('HYPERRESOLVE',[status(thm)],[30,60,59,55,theory(equality)]) ).
cnf(165,plain,
sdtpldt0('SKOLEMAAAV3'(xI,xJ,xx),'SKOLEMAAAV4'(xI,xJ,xx)) = xx,
inference('HYPERRESOLVE',[status(thm)],[32,60,59,55,theory(equality)]) ).
cnf(16038,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[58,163,161]),165,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG086+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon May 30 10:03:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-05-30T10:03:25
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-30T10:03:25
% 6.75/6.92
% 6.75/6.92
% 6.75/6.92 #||
% 6.75/6.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.75/6.92 % SZS output start Refutation
% See solution above
% 6.75/6.92 ||#
% 6.75/6.92
% 6.75/6.92 ; Summary of computation:
% 6.75/6.92 ; 42124 formulas have been input or derived (from 104 formulas).
% 6.75/6.92 ; 16038 (38%) were retained. Of these,
% 6.75/6.92 ; 1893 (12%) were simplified or subsumed later,
% 6.75/6.92 ; 14145 (88%) are still being kept.
% 6.75/6.92 ;
% 6.75/6.92 ; Run time in seconds excluding printing time:
% 6.75/6.92 ; 0.007 0% Read assertion file (1 call)
% 6.75/6.92 ; 0.002 0% Assert (27 calls)
% 6.75/6.92 ; 1.754 27% Process new row (42,044 calls)
% 6.75/6.92 ; 1.317 20% Resolution (206 calls)
% 6.75/6.92 ; 0.001 0% Paramodulation (103 calls)
% 6.75/6.92 ; 0.013 0% Condensing (5,930 calls)
% 6.75/6.92 ; 1.371 21% Forward subsumption (5,930 calls)
% 6.75/6.92 ; 0.265 4% Backward subsumption (4,891 calls)
% 6.75/6.92 ; 0.269 4% Clause clause subsumption (143,240 calls)
% 6.75/6.92 ; 0.903 14% Forward simplification (35,774 calls)
% 6.75/6.92 ; 0.297 5% Backward simplification (16,038 calls)
% 6.75/6.92 ; 0.089 1% Ordering (27,788 calls)
% 6.75/6.92 ; 0.000 0% Sortal reasoning (32 calls)
% 6.75/6.92 ; 0.000 0% Purity testing (1 call)
% 6.75/6.92 ; 0.153 2% Other
% 6.75/6.92 ; 6.441 Total
% 6.75/6.92 ; 6.443 Real time
% 6.75/6.93 ;
% 6.75/6.93 ; Term-hash-array has 39,273 terms in all.
% 6.75/6.93 ; Feature-vector-row-index has 4,891 entries (4,891 at peak, 4,891 added, 0 deleted).
% 6.75/6.93 ; Feature-vector-row-index has 7,159 nodes (7,159 at peak, 7,159 added, 0 deleted).
% 6.75/6.93 ; Retrieved 117,975 possibly forward subsuming rows in 5,930 calls.
% 6.75/6.93 ; Retrieved 39,933 possibly backward subsumed rows in 4,891 calls.
% 6.75/6.93 ; Path-index has 36,201 entries (36,201 at peak, 40,241 added, 4,040 deleted).
% 6.75/6.93 ; Path-index has 3,296 nodes (3,296 at peak, 3,454 added, 158 deleted).
% 6.75/6.93 ; Trie-index has 36,201 entries (36,201 at peak, 40,241 added, 4,040 deleted).
% 6.75/6.93 ; Trie-index has 178,710 nodes (178,710 at peak, 197,165 added, 18,455 deleted).
% 6.75/6.93 ; Retrieved 63,277 generalization terms in 281,573 calls.
% 6.75/6.93 ; Retrieved 11,155 instance terms in 11,146 calls.
% 6.75/6.93 ; Retrieved 2,504,563 unifiable terms in 64,531 calls.
% 6.75/6.93 ;
% 6.75/6.93 ; The agenda of rows to process has 23 entries:
% 6.75/6.93 ; 1 with value 17 8 with value 18 14 with value 19
% 6.75/6.93 ; The agenda of rows to give has 14043 entries:
% 6.75/6.93 ; 30 with value (4 10) 648 with value (4 25) 44 with value (4 39)
% 6.75/6.93 ; 41 with value (4 11) 521 with value (4 26) 112 with value (4 40)
% 6.75/6.93 ; 89 with value (4 12) 773 with value (4 27) 32 with value (4 41)
% 6.75/6.93 ; 117 with value (4 13) 458 with value (4 28) 18 with value (4 42)
% 6.75/6.93 ; 220 with value (4 14) 675 with value (4 29) 976 with value (4 43)
% 6.75/6.93 ; 118 with value (4 15) 543 with value (4 30) 14 with value (4 44)
% 6.75/6.93 ; 207 with value (4 16) 326 with value (4 31) 488 with value (4 45)
% 6.75/6.93 ; 205 with value (4 17) 308 with value (4 32) 1 with value (4 46)
% 6.75/6.93 ; 250 with value (4 18) 332 with value (4 33) 64 with value (4 48)
% 6.75/6.93 ; 273 with value (4 19) 503 with value (4 34) 28 with value (4 49)
% 6.75/6.93 ; 361 with value (4 20) 194 with value (4 35) 1752 with value (4 51)
% 6.75/6.93 ; 443 with value (4 21) 208 with value (4 36) 128 with value (4 58)
% 6.75/6.93 ; 353 with value (4 22) 113 with value (4 37) 256 with value (4 60)
% 6.75/6.93 ; 606 with value (4 23) 129 with value (4 38) 512 with value (4 70)
% 6.75/6.93 ; 574 with value (4 24)
% 6.75/6.93 Evaluation took:
% 6.75/6.93 6.447 seconds of real time
% 6.75/6.93 5.911829 seconds of user run time
% 6.75/6.93 0.532862 seconds of system run time
% 6.75/6.93 [Run times include 1.116 seconds GC run time.]
% 6.75/6.93 0 calls to %EVAL
% 6.75/6.93 0 page faults and
% 6.75/6.93 582,130,992 bytes consed.
% 6.75/6.93 :PROOF-FOUND
% 6.75/6.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T10:03:31
% 6.75/6.93 :PROOF-FOUND
% 6.75/6.93 *
%------------------------------------------------------------------------------