TSTP Solution File: DAT094_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT094_1 : TPTP v8.1.0. Released v6.1.0.
% 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 : Sat Jul 16 01:27:36 EDT 2022
% Result : Theorem 1.20s 1.43s
% Output : Refutation 1.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$$LESS')
% Comments :
%------------------------------------------------------------------------------
tff(2,axiom,
! [X: $int,Y: list] : ( tail(cons(X,Y)) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2) ).
tff(3,axiom,
! [X: list] :
( ( X = nil )
| ( X = cons(head(X),tail(X)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3) ).
tff(4,axiom,
! [X: $int,Y: list] : ( cons(X,Y) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4) ).
tff('SOLVE-$$GREATER-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $greater(X,Y)
| ~ '$$$LESS'(Y,X) ) ).
tff(29,axiom,
length(nil) = 0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(30,axiom,
! [X: $int,Y: list] : ( length(cons(X,Y)) = $sum(1,length(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1) ).
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(39,negated_conjecture,
! [X: list,Y: list] :
( ~ $greater(length(X),1)
| ~ $greater(length(Y),1)
| $greater(length(append(X,Y)),4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(42,plain,
! [X: list] :
( ( X = nil )
| ( length(X) = $sum(1,length(tail(X))) ) ),
inference('PARAMODULATE',[status(thm)],[30,3,theory(equality)]) ).
tff(43,plain,
! [X: $int,Y: list,Z: list] : ( append(cons(X,Y),Z) != nil ),
inference('PARAMODULATE',[status(thm)],[4,36,theory(equality)]) ).
tff(45,plain,
! [X: $int,Y: list] : ( append(cons(X,nil),Y) = cons(X,Y) ),
inference('PARAMODULATE',[status(thm)],[36,35,theory(equality)]) ).
tff(51,plain,
! [X: $int,Y: list,Z: list] : ( append(cons(X,Y),Z) = append(cons(X,nil),append(Y,Z)) ),
inference('REWRITE',[status(thm)],[36,45,theory(equality)]) ).
tff(68,plain,
! [X: list,Y: list] :
( ~ '$$$LESS'(1,length(X))
| ~ '$$$LESS'(1,length(Y))
| $greater(length(append(X,Y)),4) ),
inference('HYPERRESOLVE',[status(thm)],[39,'SOLVE-$$GREATER-BY-$$$LESS','SOLVE-$$GREATER-BY-$$$LESS']) ).
tff(110,plain,
! [X: $int,Y: list] : ( tail(append(cons(X,nil),Y)) = Y ),
inference('PARAMODULATE',[status(thm)],[2,45,theory(equality)]) ).
tff(117,plain,
! [X: $int,Y: $int,Z: list] : ( append(append(cons(X,nil),cons(Y,nil)),Z) = append(cons(X,nil),cons(Y,Z)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[51,45,theory(equality)]),45,theory(equality)]) ).
tff(133,plain,
! [X: $int,Y: list,Z: list] : ( tail(append(cons(X,Y),Z)) = append(Y,Z) ),
inference('PARAMODULATE',[status(thm)],[110,51,theory(equality)]) ).
tff(179,plain,
! [X: $int,Y: list,Z: list] : ( length(append(cons(X,Y),Z)) = $sum(1,length(append(Y,Z))) ),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[42,43]),133,theory(equality)]) ).
tff(813,plain,
! [X: list] :
( ~ '$$$LESS'(1,length(X))
| $greater($sum(2,length(X)),4) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[68,117,theory(equality)]),'CODE-FOR-$$$LESS','CODE-FOR-$$SUM',29,30,35,179,theory(equality)]) ).
tff(819,plain,
! [X: list] :
( ~ '$$$LESS'(0,length(X))
| $greater($sum(3,length(X)),4) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[813,30,theory(equality)]),'CODE-FOR-$$$LESS','CODE-FOR-$$SUM']) ).
tff(821,plain,
! [X: list] :
( ~ '$$$LESS'(-1,length(X))
| $greater($sum(4,length(X)),4) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[819,30,theory(equality)]),'CODE-FOR-$$$LESS','CODE-FOR-$$SUM']) ).
cnf(822,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[821,29,theory(equality)]),'CODE-FOR-$$GREATER','CODE-FOR-$$SUM','CODE-FOR-$$$LESS']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : DAT094_1 : TPTP v8.1.0. Released v6.1.0.
% 0.02/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 : Fri Jul 1 19:52:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:52:25
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-01T19:52:25
% 1.20/1.43
% 1.20/1.43
% 1.20/1.43 #||
% 1.20/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/1.43 % SZS output start Refutation
% See solution above
% 1.20/1.43 ||#
% 1.20/1.43
% 1.20/1.43 ; Summary of computation:
% 1.20/1.43 ; 6358 formulas have been input or derived (from 179 formulas).
% 1.20/1.43 ; 822 (13%) were retained. Of these,
% 1.20/1.43 ; 75 ( 9%) were simplified or subsumed later,
% 1.20/1.43 ; 747 (91%) are still being kept.
% 1.20/1.43 ;
% 1.20/1.43 ; Run time in seconds excluding printing time:
% 1.20/1.43 ; 0.005 1% Read assertion file (1 call)
% 1.20/1.43 ; 0.001 0% Assert (15 calls)
% 1.20/1.43 ; 0.096 10% Process new row (6,099 calls)
% 1.20/1.43 ; 0.082 8% Resolution (356 calls)
% 1.20/1.43 ; 0.025 3% Paramodulation (178 calls)
% 1.20/1.43 ; 0.001 0% Factoring (70 calls)
% 1.20/1.43 ; 0.019 2% Condensing (2,114 calls)
% 1.20/1.43 ; 0.132 13% Forward subsumption (2,114 calls)
% 1.20/1.43 ; 0.024 2% Backward subsumption (665 calls)
% 1.20/1.43 ; 0.010 1% Clause clause subsumption (5,177 calls)
% 1.20/1.43 ; 0.300 31% Forward simplification (5,678 calls)
% 1.20/1.43 ; 0.009 1% Backward simplification (821 calls)
% 1.20/1.43 ; 0.215 22% Ordering (53,669 calls)
% 1.20/1.43 ; 0.000 0% Ordering ac (9 calls)
% 1.20/1.43 ; 0.013 1% Sortal reasoning (18,616 calls)
% 1.20/1.43 ; 0.000 0% Purity testing (1 call)
% 1.20/1.43 ; 0.047 5% Other
% 1.20/1.43 ; 0.979 Total
% 1.20/1.43 ; 0.981 Real time
% 1.20/1.43 ;
% 1.20/1.43 ; Term-hash-array has 1,911 terms in all.
% 1.20/1.43 ; Feature-vector-row-index has 621 entries (621 at peak, 665 added, 44 deleted).
% 1.20/1.43 ; Feature-vector-row-index has 4,963 nodes (4,963 at peak, 5,317 added, 354 deleted).
% 1.20/1.43 ; Retrieved 10,697 possibly forward subsuming rows in 2,114 calls.
% 1.20/1.43 ; Retrieved 710 possibly backward subsumed rows in 665 calls.
% 1.20/1.43 ; Path-index has 1,834 entries (1,834 at peak, 2,037 added, 203 deleted).
% 1.20/1.43 ; Path-index has 5,748 nodes (5,748 at peak, 6,015 added, 267 deleted).
% 1.20/1.43 ; Trie-index has 1,834 entries (1,834 at peak, 2,037 added, 203 deleted).
% 1.20/1.43 ; Trie-index has 7,842 nodes (7,842 at peak, 8,507 added, 665 deleted).
% 1.20/1.43 ; Retrieved 54,212 generalization terms in 55,253 calls.
% 1.20/1.43 ; Retrieved 731 instance terms in 199 calls.
% 1.20/1.43 ; Retrieved 42,336 unifiable terms in 2,219 calls.
% 1.20/1.43 ;
% 1.20/1.43 ; The agenda of rows to process has 3 entries:
% 1.20/1.43 ; 1 with value 21 1 with value 26 1 with value 32
% 1.20/1.43 ; The agenda of rows to give has 581 entries:
% 1.20/1.43 ; 23 with value (4 23) 10 with value (4 44) 4 with value (4 68)
% 1.20/1.43 ; 32 with value (4 24) 11 with value (4 45) 1 with value (4 69)
% 1.20/1.43 ; 25 with value (4 25) 8 with value (4 46) 1 with value (4 70)
% 1.20/1.43 ; 33 with value (4 26) 5 with value (4 47) 1 with value (4 71)
% 1.20/1.43 ; 29 with value (4 27) 5 with value (4 48) 5 with value (4 72)
% 1.20/1.43 ; 29 with value (4 28) 11 with value (4 49) 3 with value (4 73)
% 1.20/1.43 ; 32 with value (4 29) 2 with value (4 50) 2 with value (4 75)
% 1.20/1.43 ; 23 with value (4 30) 3 with value (4 51) 2 with value (4 77)
% 1.20/1.43 ; 32 with value (4 31) 3 with value (4 52) 2 with value (4 79)
% 1.20/1.43 ; 26 with value (4 32) 5 with value (4 53) 2 with value (4 80)
% 1.20/1.43 ; 23 with value (4 33) 3 with value (4 54) 1 with value (4 81)
% 1.20/1.43 ; 17 with value (4 34) 5 with value (4 55) 2 with value (4 83)
% 1.20/1.43 ; 24 with value (4 35) 5 with value (4 56) 1 with value (4 84)
% 1.20/1.43 ; 19 with value (4 36) 8 with value (4 57) 1 with value (4 85)
% 1.20/1.43 ; 6 with value (4 37) 6 with value (4 59) 1 with value (4 86)
% 1.20/1.43 ; 11 with value (4 38) 8 with value (4 61) 1 with value (4 88)
% 1.20/1.43 ; 18 with value (4 39) 4 with value (4 63) 1 with value (4 89)
% 1.20/1.43 ; 7 with value (4 40) 8 with value (4 64) 1 with value (4 92)
% 1.20/1.43 ; 5 with value (4 41) 4 with value (4 65) 2 with value (4 100)
% 1.20/1.43 ; 8 with value (4 42) 2 with value (4 66) 1 with value (4 103)
% 1.20/1.43 ; 5 with value (4 43) 3 with value (4 67)
% 1.20/1.43 Evaluation took:
% 1.20/1.43 0.982 seconds of real time
% 1.20/1.43 0.832557 seconds of user run time
% 1.20/1.43 0.148834 seconds of system run time
% 1.20/1.43 [Run times include 0.041 seconds GC run time.]
% 1.20/1.43 0 calls to %EVAL
% 1.20/1.43 0 page faults and
% 1.20/1.43 69,487,952 bytes consed.
% 1.20/1.43 :PROOF-FOUND
% 1.20/1.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:52:25
% 1.20/1.43 :PROOF-FOUND
% 1.20/1.43 *
%------------------------------------------------------------------------------