%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM631+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 14:12:24 EDT 2022
% Result : Theorem 2.69s 2.89s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of clauses : 24 ( 21 unt; 0 nHn; 24 RR)
% Number of literals : 31 ( 18 equ; 9 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(34,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| sdtpldt0(sdtmndt0(X,Y),Y) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
cnf(2809,hypothesis,
( ~ aElementOf0(X,szNzAzT0)
| sdtlpdtrp0(xe,X) = szmzizndt0(sdtlpdtrp0(xN,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
cnf(2811,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
cnf(2814,hypothesis,
( ~ aElementOf0(X,szNzAzT0)
| ~ aSet0(Y)
| ~ aSubsetOf0(Y,sdtlpdtrp0(xN,szszuzczcdt0(X)))
| sbrdtbr0(Y) != xk
| sdtlpdtrp0(xd,X) = sdtlpdtrp0(sdtlpdtrp0(xC,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
cnf(2853,hypothesis,
aSet0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
cnf(2865,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(2867,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(2868,hypothesis,
aSet0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(2876,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(2877,plain,
xP = sdtmndt0(xQ,xp),
inference('REWRITE',[status(thm)],[2876,2867,theory(equality)]) ).
cnf(2883,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5217) ).
cnf(2885,hypothesis,
aElementOf0(xn,szDzozmdt0(xd)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
cnf(2886,plain,
aElementOf0(xn,szNzAzT0),
inference('REWRITE',[status(thm)],[2885,2811,theory(equality)]) ).
cnf(2887,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
cnf(2889,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
cnf(2891,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5334) ).
cnf(2907,hypothesis,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5632) ).
cnf(2908,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(2909,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference('REWRITE',[status(thm)],[2908,2887,theory(equality)]) ).
cnf(3068,plain,
xp = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2809,2886]),2889,theory(equality)]) ).
cnf(3078,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,xp)) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference('REWRITE',[status(thm)],[2907,3068,theory(equality)]) ).
cnf(3193,plain,
sdtpldt0(xP,xp) = xQ,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[34,2853,2865]),2877,theory(equality)]) ).
cnf(3197,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference('REWRITE',[status(thm)],[3078,3193,theory(equality)]) ).
cnf(3963,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2814,2886,2868,2891,2883]),2909,3197,2887,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM631+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n012.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 : Thu Jul 7 15:05:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T15:05:14
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-07T15:05:14
% 2.69/2.89
% 2.69/2.89
% 2.69/2.89 #||
% 2.69/2.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.69/2.89 % SZS output start Refutation
% See solution above
% 2.69/2.89 ||#
% 2.69/2.89
% 2.69/2.89 ; Summary of computation:
% 2.69/2.89 ; 5198 formulas have been input or derived (from 302 formulas).
% 2.69/2.89 ; 3963 (76%) were retained. Of these,
% 2.69/2.89 ; 175 ( 4%) were simplified or subsumed later,
% 2.69/2.89 ; 3788 (96%) are still being kept.
% 2.69/2.89 ;
% 2.69/2.89 ; Run time in seconds excluding printing time:
% 2.69/2.89 ; 0.048 2% Read assertion file (1 call)
% 2.69/2.89 ; 0.123 5% Assert (117 calls)
% 2.69/2.89 ; 0.399 16% Process new row (5,083 calls)
% 2.69/2.89 ; 0.589 24% Resolution (602 calls)
% 2.69/2.89 ; 0.005 0% Paramodulation (301 calls)
% 2.69/2.89 ; 0.086 4% Condensing (4,259 calls)
% 2.69/2.89 ; 0.685 28% Forward subsumption (4,259 calls)
% 2.69/2.89 ; 0.207 9% Backward subsumption (3,580 calls)
% 2.69/2.89 ; 0.021 1% Clause clause subsumption (4,125 calls)
% 2.69/2.89 ; 0.189 8% Forward simplification (5,083 calls)
% 2.69/2.89 ; 0.014 1% Backward simplification (3,915 calls)
% 2.69/2.89 ; 0.001 0% Ordering (833 calls)
% 2.69/2.89 ; 0.000 0% Sortal reasoning (32 calls)
% 2.69/2.89 ; 0.022 1% Purity testing (1 call)
% 2.69/2.89 ; 0.042 2% Other
% 2.69/2.89 ; 2.431 Total
% 2.69/2.89 ; 2.434 Real time
% 2.69/2.89 ;
% 2.69/2.89 ; Term-hash-array has 3,491 terms in all.
% 2.69/2.89 ; Feature-vector-row-index has 3,471 entries (3,471 at peak, 3,580 added, 109 deleted).
% 2.69/2.89 ; Feature-vector-row-index has 41,666 nodes (41,666 at peak, 43,178 added, 1,512 deleted).
% 2.69/2.89 ; Retrieved 6,097 possibly forward subsuming rows in 4,259 calls.
% 2.69/2.89 ; Retrieved 1,073 possibly backward subsumed rows in 3,580 calls.
% 2.69/2.89 ; Path-index has 3,405 entries (3,405 at peak, 3,517 added, 112 deleted).
% 2.69/2.89 ; Path-index has 2,772 nodes (2,772 at peak, 2,856 added, 84 deleted).
% 2.69/2.89 ; Trie-index has 3,405 entries (3,405 at peak, 3,517 added, 112 deleted).
% 2.69/2.89 ; Trie-index has 7,840 nodes (7,840 at peak, 8,210 added, 370 deleted).
% 2.69/2.89 ; Retrieved 982 generalization terms in 38,879 calls.
% 2.69/2.89 ; Retrieved 334 instance terms in 334 calls.
% 2.69/2.89 ; Retrieved 523,685 unifiable terms in 19,848 calls.
% 2.69/2.89 ;
% 2.69/2.89 ; The agenda of rows to process has 3 entries:
% 2.69/2.89 ; 3 with value 33
% 2.69/2.89 ; The agenda of input rows to give has 2498 entries:
% 2.69/2.89 ; 8 with value 35 26 with value 62 59 with value 89
% 2.69/2.89 ; 4 with value 36 28 with value 63 54 with value 90
% 2.69/2.89 ; 3 with value 37 40 with value 64 34 with value 91
% 2.69/2.89 ; 3 with value 38 39 with value 65 39 with value 92
% 2.69/2.89 ; 10 with value 39 44 with value 66 41 with value 93
% 2.69/2.89 ; 7 with value 40 39 with value 67 36 with value 94
% 2.69/2.89 ; 9 with value 41 53 with value 68 27 with value 95
% 2.69/2.89 ; 6 with value 42 62 with value 69 27 with value 96
% 2.69/2.89 ; 9 with value 43 49 with value 70 35 with value 97
% 2.69/2.89 ; 14 with value 44 59 with value 71 27 with value 98
% 2.69/2.89 ; 10 with value 45 64 with value 72 19 with value 99
% 2.69/2.89 ; 7 with value 46 72 with value 73 28 with value 100
% 2.69/2.89 ; 16 with value 47 70 with value 74 22 with value 101
% 2.69/2.89 ; 20 with value 48 58 with value 75 15 with value 102
% 2.69/2.89 ; 12 with value 49 70 with value 76 21 with value 103
% 2.69/2.89 ; 13 with value 50 68 with value 77 14 with value 104
% 2.69/2.89 ; 20 with value 51 54 with value 78 14 with value 105
% 2.69/2.89 ; 21 with value 52 52 with value 79 15 with value 106
% 2.69/2.89 ; 26 with value 53 60 with value 80 11 with value 107
% 2.69/2.89 ; 20 with value 54 59 with value 81 10 with value 108
% 2.69/2.89 ; 35 with value 55 51 with value 82 8 with value 109
% 2.69/2.89 ; 39 with value 56 43 with value 83 12 with value 110
% 2.69/2.89 ; 36 with value 57 58 with value 84 3 with value 111
% 2.69/2.89 ; 32 with value 58 59 with value 85 2 with value 112
% 2.69/2.89 ; 29 with value 59 51 with value 86 8 with value 113
% 2.69/2.89 ; 42 with value 60 55 with value 87 2 with value 116
% 2.69/2.89 ; 37 with value 61 44 with value 88
% 2.69/2.89 ; The agenda of rows to give has 1000 entries:
% 2.69/2.89 ; 14 with value (4 4) 19 with value (4 19) 4 with value (4 33)
% 2.69/2.89 ; 37 with value (4 5) 21 with value (4 20) 29 with value (4 34)
% 2.69/2.89 ; 22 with value (4 6) 33 with value (4 21) 29 with value (4 35)
% 2.69/2.89 ; 82 with value (4 7) 17 with value (4 22) 1 with value (4 36)
% 2.69/2.89 ; 15 with value (4 8) 30 with value (4 23) 1 with value (4 37)
% 2.69/2.89 ; 23 with value (4 9) 193 with value (4 24) 6 with value (4 38)
% 2.69/2.89 ; 13 with value (4 10) 24 with value (4 25) 1 with value (4 39)
% 2.69/2.89 ; 34 with value (4 11) 19 with value (4 26) 8 with value (4 40)
% 2.69/2.89 ; 51 with value (4 12) 10 with value (4 27) 52 with value (4 41)
% 2.69/2.89 ; 11 with value (4 13) 5 with value (4 28) 58 with value (4 42)
% 2.69/2.89 ; 17 with value (4 14) 11 with value (4 29) 4 with value (4 43)
% 2.69/2.89 ; 28 with value (4 15) 2 with value (4 30) 8 with value (4 49)
% 2.69/2.89 ; 10 with value (4 16) 5 with value (4 31) 8 with value (4 50)
% 2.69/2.89 ; 11 with value (4 17) 1 with value (4 32) 16 with value (4 54)
% 2.69/2.89 ; 17 with value (4 18)
% 2.69/2.89 Evaluation took:
% 2.69/2.89 2.437 seconds of real time
% 2.69/2.89 2.366596 seconds of user run time
% 2.69/2.89 0.069679 seconds of system run time
% 2.69/2.89 [Run times include 0.143 seconds GC run time.]
% 2.69/2.89 0 calls to %EVAL
% 2.69/2.89 0 page faults and
% 2.69/2.89 224,380,720 bytes consed.
% 2.69/2.89 :PROOF-FOUND
% 2.69/2.89 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T15:05:17
% 2.69/2.89 :PROOF-FOUND
% 2.69/2.89 *
%------------------------------------------------------------------------------