%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT079_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 0.52s 0.69s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 107 ( 15 equ)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 81 ( 81 fml; 0 var)
% Number arithmetic : 30 ( 0 atm; 0 fun; 12 num; 18 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 0 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $int,Y: list] : ( head(cons(X,Y)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
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(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(10,axiom,
! [X: $int,Y: list,Z: $int,U: list] :
( in(X,Y)
| ( Y != cons(Z,U) )
| ~ in(X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_conv) ).
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,
~ in(2,cons(1,cons(2,cons(3,nil)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(46,plain,
! [X: $int,Y: list] : ( append(cons(X,nil),Y) = cons(X,Y) ),
inference('PARAMODULATE',[status(thm)],[36,35,theory(equality)]) ).
tff(47,plain,
~ in(2,append(cons(1,nil),append(cons(2,nil),cons(3,nil)))),
inference('REWRITE',[status(thm)],[39,46,theory(equality)]) ).
tff(49,plain,
! [X: list] :
( ( X = nil )
| ( X = append(cons(head(X),nil),tail(X)) ) ),
inference('REWRITE',[status(thm)],[3,46,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(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(64,plain,
~ in(2,append(append(cons(1,nil),cons(2,nil)),cons(3,nil))),
inference('REWRITE',[status(thm)],[47,35,63,theory(equality)]) ).
tff(67,plain,
! [X: $int,Y: list] : in(X,append(cons(X,nil),Y)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,49,theory(equality)]),2,1,4,theory(equality)]) ).
tff(90,plain,
! [X: $int,Y: list,Z: list] : in(X,append(cons(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[67,54,theory(equality)]) ).
tff(109,plain,
! [X: $int,Y: $int,Z: list,U: list] : in(X,append(cons(Y,nil),append(cons(X,Z),U))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,90,theory(equality)]),46,theory(equality)]) ).
tff(252,plain,
! [X: $int,Y: $int,Z: list,U: list] : in(X,append(append(cons(Y,nil),cons(X,Z)),U)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[109,54,theory(equality)]),46,theory(equality)]) ).
cnf(253,plain,
$false,
inference('REWRITE',[status(thm)],[64,252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT079_1 : TPTP v8.1.0. Released v6.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n027.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 : Fri Jul 1 20:09:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T20:09:53
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-01T20:09:53
% 0.52/0.69
% 0.52/0.69
% 0.52/0.69 #||
% 0.52/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.69 % SZS output start Refutation
% See solution above
% 0.52/0.69 ||#
% 0.52/0.69
% 0.52/0.69 ; Summary of computation:
% 0.52/0.69 ; 994 formulas have been input or derived (from 90 formulas).
% 0.52/0.69 ; 253 (25%) were retained. Of these,
% 0.52/0.69 ; 39 (15%) were simplified or subsumed later,
% 0.52/0.69 ; 214 (85%) are still being kept.
% 0.52/0.69 ;
% 0.52/0.69 ; Run time in seconds excluding printing time:
% 0.52/0.69 ; 0.005 2% Read assertion file (1 call)
% 0.52/0.69 ; 0.000 0% Assert (15 calls)
% 0.52/0.69 ; 0.033 15% Process new row (893 calls)
% 0.52/0.69 ; 0.025 12% Resolution (178 calls)
% 0.52/0.69 ; 0.009 4% Paramodulation (89 calls)
% 0.52/0.69 ; 0.000 0% Factoring (22 calls)
% 0.52/0.69 ; 0.003 1% Condensing (307 calls)
% 0.52/0.69 ; 0.024 11% Forward subsumption (307 calls)
% 0.52/0.69 ; 0.006 3% Backward subsumption (162 calls)
% 0.52/0.69 ; 0.002 1% Clause clause subsumption (385 calls)
% 0.52/0.69 ; 0.052 24% Forward simplification (795 calls)
% 0.52/0.69 ; 0.003 1% Backward simplification (252 calls)
% 0.52/0.69 ; 0.017 8% Ordering (4,026 calls)
% 0.52/0.69 ; 0.003 1% Sortal reasoning (2,768 calls)
% 0.52/0.69 ; 0.001 0% Purity testing (1 call)
% 0.52/0.69 ; 0.032 15% Other
% 0.52/0.69 ; 0.215 Total
% 0.52/0.69 ; 0.218 Real time
% 0.52/0.69 ;
% 0.52/0.69 ; Term-hash-array has 572 terms in all.
% 0.52/0.69 ; Feature-vector-row-index has 147 entries (147 at peak, 162 added, 15 deleted).
% 0.52/0.69 ; Feature-vector-row-index has 1,182 nodes (1,182 at peak, 1,317 added, 135 deleted).
% 0.52/0.69 ; Retrieved 664 possibly forward subsuming rows in 307 calls.
% 0.52/0.69 ; Retrieved 33 possibly backward subsumed rows in 162 calls.
% 0.52/0.69 ; Path-index has 512 entries (516 at peak, 626 added, 114 deleted).
% 0.52/0.69 ; Path-index has 2,157 nodes (2,166 at peak, 2,382 added, 225 deleted).
% 0.52/0.69 ; Trie-index has 512 entries (516 at peak, 626 added, 114 deleted).
% 0.52/0.69 ; Trie-index has 2,052 nodes (2,067 at peak, 2,522 added, 470 deleted).
% 0.52/0.69 ; Retrieved 4,589 generalization terms in 5,202 calls.
% 0.52/0.69 ; Retrieved 174 instance terms in 101 calls.
% 0.52/0.69 ; Retrieved 4,944 unifiable terms in 841 calls.
% 0.52/0.69 ;
% 0.52/0.69 ; The agenda of rows to process has 23 entries:
% 0.52/0.69 ; 1 with value 17 1 with value 25 1 with value 42
% 0.52/0.69 ; 2 with value 19 1 with value 27 1 with value 59
% 0.52/0.69 ; 2 with value 21 1 with value 29 2 with value 64
% 0.52/0.69 ; 7 with value 22 1 with value 32 1 with value 88
% 0.52/0.69 ; 1 with value 24 1 with value 40
% 0.52/0.69 ; The agenda of rows to give has 133 entries:
% 0.52/0.69 ; 5 with value (4 18) 3 with value (4 30) 3 with value (4 44)
% 0.52/0.69 ; 8 with value (4 19) 11 with value (4 31) 4 with value (4 45)
% 0.52/0.69 ; 11 with value (4 20) 3 with value (4 32) 1 with value (4 46)
% 0.52/0.69 ; 13 with value (4 21) 4 with value (4 33) 1 with value (4 47)
% 0.52/0.69 ; 10 with value (4 22) 3 with value (4 34) 2 with value (4 53)
% 0.52/0.69 ; 6 with value (4 23) 2 with value (4 35) 3 with value (4 54)
% 0.52/0.69 ; 5 with value (4 24) 1 with value (4 37) 1 with value (4 56)
% 0.52/0.69 ; 1 with value (4 25) 1 with value (4 38) 3 with value (4 57)
% 0.52/0.69 ; 3 with value (4 26) 1 with value (4 39) 1 with value (4 61)
% 0.52/0.69 ; 6 with value (4 27) 1 with value (4 40) 1 with value (4 70)
% 0.52/0.69 ; 3 with value (4 28) 3 with value (4 42) 1 with value (4 73)
% 0.52/0.69 ; 6 with value (4 29) 1 with value (4 43) 1 with value (4 77)
% 0.52/0.69 Evaluation took:
% 0.52/0.69 0.219 seconds of real time
% 0.52/0.69 0.185748 seconds of user run time
% 0.52/0.69 0.031668 seconds of system run time
% 0.52/0.69 0 calls to %EVAL
% 0.52/0.69 0 page faults and
% 0.52/0.69 11,023,736 bytes consed.
% 0.52/0.69 :PROOF-FOUND
% 0.52/0.69 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T20:09:53
% 0.52/0.69 :PROOF-FOUND
% 0.52/0.69 *
%------------------------------------------------------------------------------