TSTP Solution File: DAT080_1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT080_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 : Sat Jul 16 01:27:31 EDT 2022
% Result : Theorem 15.64s 15.86s
% Output : Refutation 15.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$GREATER')
% Comments :
%------------------------------------------------------------------------------
tff(9,axiom,
! [X: $int,Y: list,Z: $int,U: list] :
( in(X,Y)
| ( Y != cons(Z,U) )
| ( X != Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_conv) ).
tff(31,axiom,
! [X: $int] : ( count(X,nil) = 0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
tff(32,axiom,
! [X: $int,Y: $int,Z: list] :
( ( count(X,cons(Y,Z)) = count(X,Z) )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_3) ).
tff(35,axiom,
! [X: list] : ( append(nil,X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_6) ).
tff(36,axiom,
! [X: $int,Y: list,Z: list] : ( append(cons(X,Y),Z) = cons(X,append(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_7) ).
tff(37,axiom,
! [X: $int,Y: list] :
( ~ in(X,Y)
| $greater(count(X,Y),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_8) ).
tff(39,negated_conjecture,
in(4,cons(1,cons(2,cons(3,nil)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(42,plain,
$greater(count(4,cons(1,cons(2,cons(3,nil)))),0),
inference('HYPERRESOLVE',[status(thm)],[37,39]) ).
tff(46,plain,
! [X: $int,Y: list] : ( append(cons(X,nil),Y) = cons(X,Y) ),
inference('PARAMODULATE',[status(thm)],[36,35,theory(equality)]) ).
tff(48,plain,
$greater(count(4,append(cons(1,nil),append(cons(2,nil),cons(3,nil)))),0),
inference('REWRITE',[status(thm)],[42,46,theory(equality)]) ).
tff(54,plain,
! [X: $int,Y: list,Z: list] : ( append(cons(X,Y),Z) = append(cons(X,nil),append(Y,Z)) ),
inference('REWRITE',[status(thm)],[36,46,theory(equality)]) ).
tff(59,plain,
! [X: $int,Y: $int,Z: list,U: list] :
( ( X = Y )
| in(count(X,Z),cons(count(X,cons(Y,Z)),U)) ),
inference('HYPERRESOLVE',[status(thm)],[9,32,theory(equality)]) ).
tff(63,plain,
! [X: $int,Y: $int,Z: list,U: list] : ( append(append(cons(X,nil),cons(Y,nil)),append(Z,U)) = append(cons(X,nil),append(cons(Y,Z),U)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[54,54,theory(equality)]),46,theory(equality)]) ).
tff(65,plain,
$greater(count(4,append(append(cons(1,nil),cons(2,nil)),cons(3,nil))),0),
inference('REWRITE',[status(thm)],[48,35,63,theory(equality)]) ).
tff(127,plain,
! [X: $int,Y: list,Z: list] : ( append(append(cons(X,nil),Y),Z) = append(cons(X,nil),append(Y,Z)) ),
inference('PARAMODULATE',[status(thm)],[54,46,theory(equality)]) ).
tff(128,plain,
! [X: $int,Y: $int,Z: list] :
( ( count(X,append(cons(Y,nil),Z)) = count(X,Z) )
| ( X = Y ) ),
inference('PARAMODULATE',[status(thm)],[32,46,theory(equality)]) ).
tff(325,plain,
! [X: $int,Y: $int,Z: list] :
( ( X = Y )
| in(0,cons(count(X,cons(Y,nil)),Z)) ),
inference('PARAMODULATE',[status(thm)],[59,31,theory(equality)]) ).
tff(335,plain,
! [X: $int,Y: $int,Z: list] :
( ( X = Y )
| $greater(count(0,cons(count(X,cons(Y,nil)),Z)),0) ),
inference('HYPERRESOLVE',[status(thm)],[37,325]) ).
tff(476,plain,
! [X: $int,Y: $int,Z: list,U: list] :
( ( count(X,append(append(cons(Y,nil),Z),U)) = count(X,append(Z,U)) )
| ( X = Y ) ),
inference('PARAMODULATE',[status(thm)],[128,127,theory(equality)]) ).
tff(981,plain,
! [X: $int,Y: $int,Z: list] :
( ( count(X,cons(Y,nil)) = 0 )
| ( X = Y )
| $greater(count(0,Z),0) ),
inference('PARAMODULATE',[status(thm)],[335,32,theory(equality)]) ).
tff(2067,plain,
! [X: $int,Y: $int] :
( ( count(X,cons(Y,nil)) = 0 )
| ( X = Y ) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[981,31,theory(equality)]),'CODE-FOR-$$GREATER']) ).
tff(3624,plain,
$greater(count(4,append(cons(2,nil),cons(3,nil))),0),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[65,476,theory(equality)]),theory(equality)]) ).
tff(3681,plain,
$greater(count(4,cons(3,nil)),0),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3624,128,theory(equality)]),theory(equality)]) ).
cnf(3699,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3681,2067,theory(equality)]),'CODE-FOR-$$GREATER',theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT080_1 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 20:40:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T20:40:04
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-01T20:40:04
% 15.64/15.86
% 15.64/15.86
% 15.64/15.86 #||
% 15.64/15.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.64/15.86 % SZS output start Refutation
% See solution above
% 15.64/15.87 ||#
% 15.64/15.87
% 15.64/15.87 ; Summary of computation:
% 15.64/15.87 ; 43790 formulas have been input or derived (from 369 formulas).
% 15.64/15.87 ; 3699 ( 8%) were retained. Of these,
% 15.64/15.87 ; 264 ( 7%) were simplified or subsumed later,
% 15.64/15.87 ; 3435 (93%) are still being kept.
% 15.64/15.87 ;
% 15.64/15.87 ; Run time in seconds excluding printing time:
% 15.64/15.87 ; 0.005 0% Read assertion file (1 call)
% 15.64/15.87 ; 0.001 0% Assert (15 calls)
% 15.64/15.87 ; 0.515 3% Process new row (43,014 calls)
% 15.64/15.87 ; 0.642 4% Resolution (736 calls)
% 15.64/15.87 ; 0.106 1% Paramodulation (368 calls)
% 15.64/15.87 ; 0.002 0% Factoring (195 calls)
% 15.64/15.87 ; 0.149 1% Condensing (14,144 calls)
% 15.64/15.87 ; 2.119 14% Forward subsumption (14,144 calls)
% 15.64/15.87 ; 0.173 1% Backward subsumption (3,248 calls)
% 15.64/15.87 ; 0.170 1% Clause clause subsumption (72,203 calls)
% 15.64/15.87 ; 4.802 31% Forward simplification (42,529 calls)
% 15.64/15.87 ; 0.030 0% Backward simplification (3,698 calls)
% 15.64/15.87 ; 6.221 40% Ordering (1,139,579 calls)
% 15.64/15.87 ; 0.035 0% Ordering ac (3,035 calls)
% 15.64/15.87 ; 0.225 1% Sortal reasoning (344,454 calls)
% 15.64/15.87 ; 0.000 0% Purity testing (1 call)
% 15.64/15.87 ; 0.187 1% Other
% 15.64/15.87 ; 15.382 Total
% 15.64/15.87 ; 15.399 Real time
% 15.64/15.87 ;
% 15.64/15.87 ; Term-hash-array has 7,224 terms in all.
% 15.64/15.87 ; Feature-vector-row-index has 3,035 entries (3,035 at peak, 3,248 added, 213 deleted).
% 15.64/15.87 ; Feature-vector-row-index has 23,627 nodes (23,627 at peak, 25,496 added, 1,869 deleted).
% 15.64/15.87 ; Retrieved 174,182 possibly forward subsuming rows in 14,144 calls.
% 15.64/15.87 ; Retrieved 10,449 possibly backward subsumed rows in 3,248 calls.
% 15.64/15.87 ; Path-index has 7,010 entries (7,010 at peak, 7,644 added, 634 deleted).
% 15.64/15.87 ; Path-index has 14,627 nodes (14,627 at peak, 15,244 added, 617 deleted).
% 15.64/15.87 ; Trie-index has 7,010 entries (7,010 at peak, 7,644 added, 634 deleted).
% 15.64/15.87 ; Trie-index has 31,180 nodes (31,180 at peak, 33,089 added, 1,909 deleted).
% 15.64/15.87 ; Retrieved 927,250 generalization terms in 621,849 calls.
% 15.64/15.87 ; Retrieved 3,421 instance terms in 757 calls.
% 15.64/15.87 ; Retrieved 373,361 unifiable terms in 7,947 calls.
% 15.64/15.87 ;
% 15.64/15.87 ; The agenda of rows to process has 20 entries:
% 15.64/15.87 ; 1 with value 16 1 with value 25 2 with value 31
% 15.64/15.87 ; 1 with value 17 1 with value 27 4 with value 32
% 15.64/15.87 ; 1 with value 19 1 with value 28 3 with value 33
% 15.64/15.87 ; 1 with value 20 1 with value 29 1 with value 34
% 15.64/15.87 ; 1 with value 22 1 with value 30
% 15.64/15.87 ; The agenda of rows to give has 3088 entries:
% 15.64/15.87 ; 1 with value (4 13) 32 with value (4 55) 4 with value (4 86)
% 15.64/15.87 ; 1 with value (4 17) 22 with value (4 56) 5 with value (4 87)
% 15.64/15.87 ; 1 with value (4 26) 29 with value (4 57) 7 with value (4 88)
% 15.64/15.87 ; 63 with value (4 27) 15 with value (4 58) 3 with value (4 89)
% 15.64/15.87 ; 60 with value (4 28) 15 with value (4 59) 2 with value (4 90)
% 15.64/15.87 ; 95 with value (4 29) 19 with value (4 60) 14 with value (4 91)
% 15.64/15.87 ; 135 with value (4 30) 15 with value (4 61) 2 with value (4 92)
% 15.64/15.87 ; 105 with value (4 31) 14 with value (4 62) 3 with value (4 93)
% 15.64/15.87 ; 120 with value (4 32) 12 with value (4 63) 2 with value (4 94)
% 15.64/15.87 ; 102 with value (4 33) 19 with value (4 64) 6 with value (4 95)
% 15.64/15.87 ; 108 with value (4 34) 9 with value (4 65) 4 with value (4 97)
% 15.64/15.87 ; 136 with value (4 35) 9 with value (4 66) 1 with value (4 98)
% 15.64/15.87 ; 141 with value (4 36) 10 with value (4 67) 2 with value (4 99)
% 15.64/15.87 ; 121 with value (4 37) 11 with value (4 68) 3 with value (4 100)
% 15.64/15.87 ; 144 with value (4 38) 8 with value (4 69) 3 with value (4 101)
% 15.64/15.87 ; 150 with value (4 39) 2 with value (4 70) 1 with value (4 102)
% 15.64/15.87 ; 141 with value (4 40) 12 with value (4 71) 2 with value (4 103)
% 15.64/15.87 ; 128 with value (4 41) 8 with value (4 72) 2 with value (4 104)
% 15.64/15.87 ; 144 with value (4 42) 13 with value (4 73) 1 with value (4 105)
% 15.64/15.87 ; 153 with value (4 43) 5 with value (4 74) 2 with value (4 106)
% 15.64/15.87 ; 145 with value (4 44) 14 with value (4 75) 1 with value (4 107)
% 15.64/15.87 ; 89 with value (4 45) 5 with value (4 76) 1 with value (4 111)
% 15.64/15.87 ; 84 with value (4 46) 11 with value (4 77) 2 with value (4 113)
% 15.64/15.87 ; 66 with value (4 47) 8 with value (4 78) 1 with value (4 115)
% 15.64/15.87 ; 39 with value (4 48) 7 with value (4 79) 3 with value (4 116)
% 15.64/15.87 ; 39 with value (4 49) 7 with value (4 80) 1 with value (4 118)
% 15.64/15.87 ; 27 with value (4 50) 3 with value (4 81) 1 with value (4 119)
% 15.64/15.87 ; 29 with value (4 51) 1 with value (4 82) 2 with value (4 124)
% 15.64/15.87 ; 27 with value (4 52) 6 with value (4 83) 1 with value (4 125)
% 15.64/15.87 ; 28 with value (4 53) 10 with value (4 84) 1 with value (4 126)
% 15.64/15.87 ; 23 with value (4 54) 4 with value (4 85) 5 with value (4 127)
% 15.64/15.87 Evaluation took:
% 15.64/15.87 15.401 seconds of real time
% 15.64/15.87 13.544161 seconds of user run time
% 15.64/15.87 1.850305 seconds of system run time
% 15.64/15.87 [Run times include 0.938 seconds GC run time.]
% 15.64/15.87 0 calls to %EVAL
% 15.64/15.87 0 page faults and
% 15.64/15.87 1,122,139,152 bytes consed.
% 15.64/15.87 :PROOF-FOUND
% 15.64/15.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T20:40:19
% 15.64/15.87 :PROOF-FOUND
% 15.64/15.87 *
%------------------------------------------------------------------------------