TSTP Solution File: DAT095_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT095_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 1.24s 1.40s
% Output : Refutation 1.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(9,axiom,
! [X: $int,Y: list,Z: $int,U: list] :
( in(X,Y)
| ( Y != cons(Z,U) )
| ( X != Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_conv) ).
tff(31,axiom,
! [X: $int] : ( count(X,nil) = 0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
tff(33,axiom,
! [X: $int,Y: $int,Z: list] :
( ( count(X,cons(Y,Z)) = $sum(count(X,Z),1) )
| ( X != Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_4) ).
tff(34,plain,
! [X: $int,Y: $int,Z: list] :
( ( count(X,cons(Y,Z)) = $sum(1,count(X,Z)) )
| ( X != Y ) ),
inference('REWRITE',[status(thm)],[33,'CODE-FOR-$$SUM']) ).
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: $int,Y: list,Z: list,U: $int] :
( ~ in(X,Y)
| ( Z != cons(U,Y) )
| ( count(X,Z) = count(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
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(52,plain,
! [X: $int,Y: list] : in(X,cons(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[9,theory(equality),theory(equality)]) ).
tff(65,plain,
! [X: $int,Y: list] : ( count(X,cons(X,Y)) = $sum(1,count(X,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[34,theory(equality)]) ).
tff(75,plain,
! [X: $int,Y: $int,Z: list] : ( count(X,append(cons(Y,nil),cons(X,Z))) = $sum(1,count(X,Z)) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[39,52,theory(equality)]),65,45,theory(equality)]) ).
tff(145,plain,
! [X: $int,Y: list] : ( count(X,append(cons(X,nil),Y)) = $sum(1,count(X,Y)) ),
inference('PARAMODULATE',[status(thm)],[65,45,theory(equality)]) ).
tff(316,plain,
! [X: $int,Y: list,Z: list] : ( count(X,append(cons(X,Y),Z)) = $sum(1,count(X,append(Y,Z))) ),
inference('PARAMODULATE',[status(thm)],[145,51,theory(equality)]) ).
tff(759,plain,
! [X: $int,Y: list] : ( $sum(2,count(X,Y)) = $sum(1,count(X,Y)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[75,316,theory(equality)]),'CODE-FOR-$$SUM',65,35,theory(equality)]) ).
cnf(763,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[759,31,theory(equality)]),'CODE-FOR-$$SUM',theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT095_1 : TPTP v8.1.0. Released v6.1.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 19:02:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 *
% 0.21/0.46 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:02:39
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-01T19:02:39
% 1.24/1.40
% 1.24/1.40
% 1.24/1.40 #||
% 1.24/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.24/1.40 % SZS output start Refutation
% See solution above
% 1.24/1.42 ||#
% 1.24/1.42
% 1.24/1.42 ; Summary of computation:
% 1.24/1.42 ; 6075 formulas have been input or derived (from 163 formulas).
% 1.24/1.42 ; 763 (13%) were retained. Of these,
% 1.24/1.42 ; 84 (11%) were simplified or subsumed later,
% 1.24/1.42 ; 679 (89%) are still being kept.
% 1.24/1.42 ;
% 1.24/1.42 ; Run time in seconds excluding printing time:
% 1.24/1.42 ; 0.006 1% Read assertion file (1 call)
% 1.24/1.42 ; 0.001 0% Assert (15 calls)
% 1.24/1.42 ; 0.099 11% Process new row (5,707 calls)
% 1.24/1.42 ; 0.083 9% Resolution (324 calls)
% 1.24/1.42 ; 0.012 1% Paramodulation (162 calls)
% 1.24/1.42 ; 0.002 0% Factoring (61 calls)
% 1.24/1.42 ; 0.024 3% Condensing (1,966 calls)
% 1.24/1.42 ; 0.117 13% Forward subsumption (1,966 calls)
% 1.24/1.42 ; 0.024 3% Backward subsumption (608 calls)
% 1.24/1.42 ; 0.013 1% Clause clause subsumption (4,147 calls)
% 1.24/1.42 ; 0.267 29% Forward simplification (5,262 calls)
% 1.24/1.42 ; 0.010 1% Backward simplification (762 calls)
% 1.24/1.42 ; 0.201 22% Ordering (49,277 calls)
% 1.24/1.42 ; 0.000 0% Ordering ac (4 calls)
% 1.24/1.42 ; 0.019 2% Sortal reasoning (18,627 calls)
% 1.24/1.42 ; 0.000 0% Purity testing (1 call)
% 1.24/1.42 ; 0.051 5% Other
% 1.24/1.42 ; 0.929 Total
% 1.24/1.42 ; 0.947 Real time
% 1.24/1.42 ;
% 1.24/1.42 ; Term-hash-array has 1,805 terms in all.
% 1.24/1.42 ; Feature-vector-row-index has 562 entries (562 at peak, 608 added, 46 deleted).
% 1.24/1.42 ; Feature-vector-row-index has 4,620 nodes (4,620 at peak, 5,017 added, 397 deleted).
% 1.24/1.42 ; Retrieved 8,859 possibly forward subsuming rows in 1,966 calls.
% 1.24/1.42 ; Retrieved 499 possibly backward subsumed rows in 608 calls.
% 1.24/1.42 ; Path-index has 1,717 entries (1,717 at peak, 1,941 added, 224 deleted).
% 1.24/1.42 ; Path-index has 5,529 nodes (5,529 at peak, 5,837 added, 308 deleted).
% 1.24/1.42 ; Trie-index has 1,717 entries (1,717 at peak, 1,941 added, 224 deleted).
% 1.24/1.42 ; Trie-index has 7,425 nodes (7,425 at peak, 8,222 added, 797 deleted).
% 1.24/1.42 ; Retrieved 53,088 generalization terms in 52,501 calls.
% 1.24/1.42 ; Retrieved 610 instance terms in 185 calls.
% 1.24/1.42 ; Retrieved 43,710 unifiable terms in 2,189 calls.
% 1.24/1.42 ;
% 1.24/1.42 ; The agenda of rows to process has 79 entries:
% 1.24/1.42 ; 2 with value 18 8 with value 27 2 with value 43
% 1.24/1.42 ; 2 with value 21 9 with value 28 2 with value 44
% 1.24/1.42 ; 8 with value 22 8 with value 30 2 with value 47
% 1.24/1.42 ; 4 with value 23 4 with value 33 2 with value 48
% 1.24/1.42 ; 16 with value 25 2 with value 39 2 with value 50
% 1.24/1.42 ; 2 with value 26 2 with value 42 2 with value 58
% 1.24/1.42 ; The agenda of rows to give has 530 entries:
% 1.24/1.42 ; 7 with value (4 22) 4 with value (4 43) 4 with value (4 68)
% 1.24/1.42 ; 22 with value (4 23) 10 with value (4 44) 1 with value (4 69)
% 1.24/1.42 ; 32 with value (4 24) 11 with value (4 45) 1 with value (4 70)
% 1.24/1.42 ; 28 with value (4 25) 7 with value (4 46) 1 with value (4 71)
% 1.24/1.42 ; 26 with value (4 26) 5 with value (4 47) 5 with value (4 72)
% 1.24/1.42 ; 25 with value (4 27) 4 with value (4 48) 3 with value (4 73)
% 1.24/1.42 ; 22 with value (4 28) 8 with value (4 49) 2 with value (4 75)
% 1.24/1.42 ; 26 with value (4 29) 1 with value (4 50) 2 with value (4 77)
% 1.24/1.42 ; 17 with value (4 30) 1 with value (4 51) 2 with value (4 79)
% 1.24/1.42 ; 35 with value (4 31) 3 with value (4 52) 1 with value (4 80)
% 1.24/1.42 ; 24 with value (4 32) 2 with value (4 53) 1 with value (4 81)
% 1.24/1.42 ; 21 with value (4 33) 3 with value (4 54) 1 with value (4 83)
% 1.24/1.42 ; 18 with value (4 34) 5 with value (4 55) 1 with value (4 84)
% 1.24/1.42 ; 20 with value (4 35) 5 with value (4 56) 1 with value (4 85)
% 1.24/1.42 ; 21 with value (4 36) 8 with value (4 57) 1 with value (4 86)
% 1.24/1.42 ; 8 with value (4 37) 4 with value (4 59) 1 with value (4 88)
% 1.24/1.42 ; 9 with value (4 38) 7 with value (4 61) 1 with value (4 89)
% 1.24/1.42 ; 15 with value (4 39) 4 with value (4 63) 1 with value (4 92)
% 1.24/1.42 ; 5 with value (4 40) 6 with value (4 64) 2 with value (4 100)
% 1.24/1.42 ; 5 with value (4 41) 4 with value (4 65) 1 with value (4 103)
% 1.24/1.42 ; 7 with value (4 42) 2 with value (4 66)
% 1.24/1.42 Evaluation took:
% 1.24/1.42 0.947 seconds of real time
% 1.24/1.42 0.837987 seconds of user run time
% 1.24/1.42 0.109244 seconds of system run time
% 1.24/1.42 [Run times include 0.039 seconds GC run time.]
% 1.24/1.42 0 calls to %EVAL
% 1.24/1.42 0 page faults and
% 1.24/1.42 64,561,800 bytes consed.
% 1.24/1.42 :PROOF-FOUND
% 1.24/1.42 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:02:40
% 1.24/1.42 :PROOF-FOUND
% 1.24/1.42 *
%------------------------------------------------------------------------------