TSTP Solution File: DAT100_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT100_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : 300s
% DateTime : Tue Apr 30 11:04:06 EDT 2024
% Result : Theorem 63.90s 9.49s
% Output : Refutation 63.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 53
% Syntax : Number of formulae : 211 ( 19 unt; 8 typ; 0 def)
% Number of atoms : 556 ( 152 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 575 ( 222 ~; 283 |; 35 &)
% ( 34 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 926 ( 97 atm; 13 fun; 753 num; 63 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 36 ( 32 usr; 32 prp; 0-2 aty)
% Number of functors : 14 ( 6 usr; 7 con; 0-2 aty)
% Number of variables : 109 ( 95 !; 14 ?; 109 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_11,type,
sK0: ( $int * list ) > $int ).
tff(func_def_12,type,
sK1: ( $int * list ) > list ).
tff(pred_def_1,type,
inRange: ( $int * list ) > $o ).
tff(f226716,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f5215,f7479,f20514,f20520,f20526,f20535,f41690,f41703,f41716,f46509,f48227,f48231,f48234,f48249,f48255,f48265,f48278,f48284,f48298,f48320,f48332,f48333,f48334,f48335,f48341,f48356,f48374,f48378,f49059,f49065,f49093,f49098,f49110,f49112,f49115,f226712,f226715]) ).
tff(f226715,plain,
( ~ spl2_13
| spl2_29 ),
inference(avatar_contradiction_clause,[],[f226714]) ).
tff(f226714,plain,
( $false
| ~ spl2_13
| spl2_29 ),
inference(subsumption_resolution,[],[f226713,f49063]) ).
tff(f49063,plain,
( ( 5 != sK0(4,cons(5,cons(2,nil))) )
| spl2_29 ),
inference(avatar_component_clause,[],[f49062]) ).
tff(f49062,plain,
( spl2_29
<=> ( 5 = sK0(4,cons(5,cons(2,nil))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
tff(f226713,plain,
( ( 5 = sK0(4,cons(5,cons(2,nil))) )
| ~ spl2_13 ),
inference(forward_demodulation,[],[f226704,f32]) ).
tff(f32,plain,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
tff(f226704,plain,
( ( sK0(4,cons(5,cons(2,nil))) = head(cons(5,cons(2,nil))) )
| ~ spl2_13 ),
inference(superposition,[],[f32,f46508]) ).
tff(f46508,plain,
( ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f46506]) ).
tff(f46506,plain,
( spl2_13
<=> ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
tff(f226712,plain,
( spl2_31
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f226707,f46506,f226709]) ).
tff(f226709,plain,
( spl2_31
<=> ( cons(2,nil) = sK1(4,cons(5,cons(2,nil))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
tff(f226707,plain,
( ( cons(2,nil) = sK1(4,cons(5,cons(2,nil))) )
| ~ spl2_13 ),
inference(forward_demodulation,[],[f226703,f33]) ).
tff(f33,plain,
! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2) ).
tff(f226703,plain,
( ( sK1(4,cons(5,cons(2,nil))) = tail(cons(5,cons(2,nil))) )
| ~ spl2_13 ),
inference(superposition,[],[f33,f46508]) ).
tff(f49115,plain,
( spl2_30
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f49114,f49056,f49095]) ).
tff(f49095,plain,
( spl2_30
<=> ( cons(5,cons(2,nil)) = cons(5,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
tff(f49056,plain,
( spl2_28
<=> ( nil = tail(cons(5,cons(2,nil))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
tff(f49114,plain,
( ( cons(5,cons(2,nil)) = cons(5,nil) )
| ~ spl2_28 ),
inference(forward_demodulation,[],[f49113,f32]) ).
tff(f49113,plain,
( ( cons(5,cons(2,nil)) = cons(head(cons(5,cons(2,nil))),nil) )
| ~ spl2_28 ),
inference(subsumption_resolution,[],[f49108,f31]) ).
tff(f31,plain,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4) ).
tff(f49108,plain,
( ( cons(5,cons(2,nil)) = cons(head(cons(5,cons(2,nil))),nil) )
| ( nil = cons(5,cons(2,nil)) )
| ~ spl2_28 ),
inference(superposition,[],[f30,f49058]) ).
tff(f49058,plain,
( ( nil = tail(cons(5,cons(2,nil))) )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f49056]) ).
tff(f30,plain,
! [X0: list] :
( ( cons(head(X0),tail(X0)) = X0 )
| ( nil = X0 ) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: list] :
( ( cons(head(X0),tail(X0)) = X0 )
| ( nil = X0 ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: list] :
( ( cons(head(X1),tail(X1)) = X1 )
| ( nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3) ).
tff(f49112,plain,
~ spl2_28,
inference(avatar_contradiction_clause,[],[f49111]) ).
tff(f49111,plain,
( $false
| ~ spl2_28 ),
inference(subsumption_resolution,[],[f49107,f31]) ).
tff(f49107,plain,
( ( nil = cons(2,nil) )
| ~ spl2_28 ),
inference(superposition,[],[f33,f49058]) ).
tff(f49110,plain,
~ spl2_28,
inference(avatar_contradiction_clause,[],[f49109]) ).
tff(f49109,plain,
( $false
| ~ spl2_28 ),
inference(subsumption_resolution,[],[f49106,f31]) ).
tff(f49106,plain,
( ( nil = cons(2,nil) )
| ~ spl2_28 ),
inference(superposition,[],[f49058,f33]) ).
tff(f49098,plain,
( spl2_30
| ~ spl2_21
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f49074,f49062,f48281,f49095]) ).
tff(f48281,plain,
( spl2_21
<=> ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
tff(f49074,plain,
( ( cons(5,cons(2,nil)) = cons(5,nil) )
| ~ spl2_21
| ~ spl2_29 ),
inference(backward_demodulation,[],[f48283,f49064]) ).
tff(f49064,plain,
( ( 5 = sK0(4,cons(5,cons(2,nil))) )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f49062]) ).
tff(f48283,plain,
( ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),nil) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f48281]) ).
tff(f49093,plain,
( ~ spl2_9
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f49092]) ).
tff(f49092,plain,
( $false
| ~ spl2_9
| ~ spl2_29 ),
inference(evaluation,[],[f49066]) ).
tff(f49066,plain,
( $less(5,4)
| ~ spl2_9
| ~ spl2_29 ),
inference(backward_demodulation,[],[f41689,f49064]) ).
tff(f41689,plain,
( $less(sK0(4,cons(5,cons(2,nil))),4)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f41687]) ).
tff(f41687,plain,
( spl2_9
<=> $less(sK0(4,cons(5,cons(2,nil))),4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
tff(f49065,plain,
( spl2_29
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f49060,f48281,f49062]) ).
tff(f49060,plain,
( ( 5 = sK0(4,cons(5,cons(2,nil))) )
| ~ spl2_21 ),
inference(forward_demodulation,[],[f49051,f32]) ).
tff(f49051,plain,
( ( sK0(4,cons(5,cons(2,nil))) = head(cons(5,cons(2,nil))) )
| ~ spl2_21 ),
inference(superposition,[],[f32,f48283]) ).
tff(f49059,plain,
( spl2_28
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f49050,f48281,f49056]) ).
tff(f49050,plain,
( ( nil = tail(cons(5,cons(2,nil))) )
| ~ spl2_21 ),
inference(superposition,[],[f33,f48283]) ).
tff(f48378,plain,
( ~ spl2_26
| ~ spl2_15
| spl2_20 ),
inference(avatar_split_clause,[],[f48377,f48275,f48242,f48338]) ).
tff(f48338,plain,
( spl2_26
<=> ( cons(5,cons(2,nil)) = cons(0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
tff(f48242,plain,
( spl2_15
<=> ( nil = sK1(4,cons(5,cons(2,nil))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
tff(f48275,plain,
( spl2_20
<=> ( cons(5,cons(2,nil)) = cons(0,sK1(4,cons(5,cons(2,nil)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
tff(f48377,plain,
( ( cons(5,cons(2,nil)) != cons(0,nil) )
| ~ spl2_15
| spl2_20 ),
inference(forward_demodulation,[],[f48276,f48244]) ).
tff(f48244,plain,
( ( nil = sK1(4,cons(5,cons(2,nil))) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f48242]) ).
tff(f48276,plain,
( ( cons(5,cons(2,nil)) != cons(0,sK1(4,cons(5,cons(2,nil)))) )
| spl2_20 ),
inference(avatar_component_clause,[],[f48275]) ).
tff(f48374,plain,
( spl2_27
| ~ spl2_21
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f48365,f48325,f48281,f48371]) ).
tff(f48371,plain,
( spl2_27
<=> ( cons(5,cons(2,nil)) = cons(1,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
tff(f48325,plain,
( spl2_24
<=> ( 1 = sK0(4,cons(5,cons(2,nil))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
tff(f48365,plain,
( ( cons(5,cons(2,nil)) = cons(1,nil) )
| ~ spl2_21
| ~ spl2_24 ),
inference(backward_demodulation,[],[f48283,f48327]) ).
tff(f48327,plain,
( ( 1 = sK0(4,cons(5,cons(2,nil))) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f48325]) ).
tff(f48356,plain,
( spl2_26
| ~ spl2_18
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f48350,f48281,f48258,f48338]) ).
tff(f48258,plain,
( spl2_18
<=> ( 0 = sK0(4,cons(5,cons(2,nil))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
tff(f48350,plain,
( ( cons(5,cons(2,nil)) = cons(0,nil) )
| ~ spl2_18
| ~ spl2_21 ),
inference(backward_demodulation,[],[f48283,f48260]) ).
tff(f48260,plain,
( ( 0 = sK0(4,cons(5,cons(2,nil))) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f48258]) ).
tff(f48341,plain,
( spl2_26
| ~ spl2_15
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f48336,f48275,f48242,f48338]) ).
tff(f48336,plain,
( ( cons(5,cons(2,nil)) = cons(0,nil) )
| ~ spl2_15
| ~ spl2_20 ),
inference(forward_demodulation,[],[f48277,f48244]) ).
tff(f48277,plain,
( ( cons(5,cons(2,nil)) = cons(0,sK1(4,cons(5,cons(2,nil)))) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f48275]) ).
tff(f48335,plain,
( spl2_18
| spl2_19
| spl2_10 ),
inference(avatar_split_clause,[],[f48292,f41697,f48262,f48258]) ).
tff(f48262,plain,
( spl2_19
<=> $less(0,sK0(4,cons(5,cons(2,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
tff(f41697,plain,
( spl2_10
<=> $less(sK0(4,cons(5,cons(2,nil))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
tff(f48292,plain,
( $less(0,sK0(4,cons(5,cons(2,nil))))
| ( 0 = sK0(4,cons(5,cons(2,nil))) )
| spl2_10 ),
inference(resolution,[],[f41698,f16]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f41698,plain,
( ~ $less(sK0(4,cons(5,cons(2,nil))),0)
| spl2_10 ),
inference(avatar_component_clause,[],[f41697]) ).
tff(f48334,plain,
( spl2_18
| spl2_19
| spl2_10 ),
inference(avatar_split_clause,[],[f48293,f41697,f48262,f48258]) ).
tff(f48293,plain,
( $less(0,sK0(4,cons(5,cons(2,nil))))
| ( 0 = sK0(4,cons(5,cons(2,nil))) )
| spl2_10 ),
inference(resolution,[],[f41698,f16]) ).
tff(f48333,plain,
( spl2_24
| spl2_25
| spl2_23 ),
inference(avatar_split_clause,[],[f48323,f48317,f48329,f48325]) ).
tff(f48329,plain,
( spl2_25
<=> $less(1,sK0(4,cons(5,cons(2,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
tff(f48317,plain,
( spl2_23
<=> $less(sK0(4,cons(5,cons(2,nil))),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
tff(f48323,plain,
( $less(1,sK0(4,cons(5,cons(2,nil))))
| ( 1 = sK0(4,cons(5,cons(2,nil))) )
| spl2_23 ),
inference(resolution,[],[f48319,f16]) ).
tff(f48319,plain,
( ~ $less(sK0(4,cons(5,cons(2,nil))),1)
| spl2_23 ),
inference(avatar_component_clause,[],[f48317]) ).
tff(f48332,plain,
( spl2_24
| spl2_25
| spl2_23 ),
inference(avatar_split_clause,[],[f48322,f48317,f48329,f48325]) ).
tff(f48322,plain,
( $less(1,sK0(4,cons(5,cons(2,nil))))
| ( 1 = sK0(4,cons(5,cons(2,nil))) )
| spl2_23 ),
inference(resolution,[],[f48319,f16]) ).
tff(f48320,plain,
( ~ spl2_23
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f48307,f48262,f48317]) ).
tff(f48307,plain,
( ~ $less(sK0(4,cons(5,cons(2,nil))),1)
| ~ spl2_19 ),
inference(resolution,[],[f48264,f104]) ).
tff(f104,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(X0,1) ),
inference(superposition,[],[f77,f11]) ).
tff(f11,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f77,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f20,f9]) ).
tff(f9,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f20,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f48264,plain,
( $less(0,sK0(4,cons(5,cons(2,nil))))
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f48262]) ).
tff(f48298,plain,
( spl2_22
| spl2_10 ),
inference(avatar_split_clause,[],[f48291,f41697,f48295]) ).
tff(f48295,plain,
( spl2_22
<=> $less(-1,sK0(4,cons(5,cons(2,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
tff(f48291,plain,
( $less(-1,sK0(4,cons(5,cons(2,nil))))
| spl2_10 ),
inference(resolution,[],[f41698,f63]) ).
tff(f63,plain,
! [X0: $int] :
( $less(X0,0)
| $less(-1,X0) ),
inference(evaluation,[],[f62]) ).
tff(f62,plain,
! [X0: $int] :
( $less(X0,0)
| $less($uminus(1),X0) ),
inference(superposition,[],[f18,f47]) ).
tff(f47,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f13,f19]) ).
tff(f19,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f13,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f48284,plain,
( spl2_21
| ~ spl2_13
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f48279,f48242,f46506,f48281]) ).
tff(f48279,plain,
( ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),nil) )
| ~ spl2_13
| ~ spl2_15 ),
inference(forward_demodulation,[],[f46508,f48244]) ).
tff(f48278,plain,
( spl2_20
| ~ spl2_13
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f48272,f48258,f46506,f48275]) ).
tff(f48272,plain,
( ( cons(5,cons(2,nil)) = cons(0,sK1(4,cons(5,cons(2,nil)))) )
| ~ spl2_13
| ~ spl2_18 ),
inference(backward_demodulation,[],[f46508,f48260]) ).
tff(f48265,plain,
( spl2_18
| spl2_19
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f48256,f41713,f48262,f48258]) ).
tff(f41713,plain,
( spl2_12
<=> inRange(4,cons(5,cons(2,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
tff(f48256,plain,
( $less(0,sK0(4,cons(5,cons(2,nil))))
| ( 0 = sK0(4,cons(5,cons(2,nil))) )
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f48237,f31]) ).
tff(f48237,plain,
( ( nil = cons(5,cons(2,nil)) )
| $less(0,sK0(4,cons(5,cons(2,nil))))
| ( 0 = sK0(4,cons(5,cons(2,nil))) )
| ~ spl2_12 ),
inference(resolution,[],[f41714,f4454]) ).
tff(f4454,plain,
! [X0: list,X1: $int] :
( ~ inRange(X1,X0)
| ( nil = X0 )
| $less(0,sK0(X1,X0))
| ( 0 = sK0(X1,X0) ) ),
inference(resolution,[],[f35,f16]) ).
tff(f35,plain,
! [X0: $int,X1: list] :
( ~ $less(sK0(X0,X1),0)
| ( nil = X1 )
| ~ inRange(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0)
| ( cons(X2,X3) != X1 ) )
& ( nil != X1 ) ) )
& ( ( inRange(X0,sK1(X0,X1))
& $less(sK0(X0,X1),X0)
& ~ $less(sK0(X0,X1),0)
& ( cons(sK0(X0,X1),sK1(X0,X1)) = X1 ) )
| ( nil = X1 )
| ~ inRange(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
tff(f27,plain,
! [X0: $int,X1: list] :
( ? [X4: $int,X5: list] :
( inRange(X0,X5)
& $less(X4,X0)
& ~ $less(X4,0)
& ( cons(X4,X5) = X1 ) )
=> ( inRange(X0,sK1(X0,X1))
& $less(sK0(X0,X1),X0)
& ~ $less(sK0(X0,X1),0)
& ( cons(sK0(X0,X1),sK1(X0,X1)) = X1 ) ) ),
introduced(choice_axiom,[]) ).
tff(f26,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0)
| ( cons(X2,X3) != X1 ) )
& ( nil != X1 ) ) )
& ( ? [X4: $int,X5: list] :
( inRange(X0,X5)
& $less(X4,X0)
& ~ $less(X4,0)
& ( cons(X4,X5) = X1 ) )
| ( nil = X1 )
| ~ inRange(X0,X1) ) ),
inference(rectify,[],[f25]) ).
tff(f25,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0)
| ( cons(X2,X3) != X1 ) )
& ( nil != X1 ) ) )
& ( ? [X2: $int,X3: list] :
( inRange(X0,X3)
& $less(X2,X0)
& ~ $less(X2,0)
& ( cons(X2,X3) = X1 ) )
| ( nil = X1 )
| ~ inRange(X0,X1) ) ),
inference(flattening,[],[f24]) ).
tff(f24,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0)
| ( cons(X2,X3) != X1 ) )
& ( nil != X1 ) ) )
& ( ? [X2: $int,X3: list] :
( inRange(X0,X3)
& $less(X2,X0)
& ~ $less(X2,0)
& ( cons(X2,X3) = X1 ) )
| ( nil = X1 )
| ~ inRange(X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: $int,X1: list] :
( inRange(X0,X1)
<=> ( ? [X2: $int,X3: list] :
( inRange(X0,X3)
& $less(X2,X0)
& ~ $less(X2,0)
& ( cons(X2,X3) = X1 ) )
| ( nil = X1 ) ) ),
inference(rectify,[],[f8]) ).
tff(f8,plain,
! [X2: $int,X1: list] :
( inRange(X2,X1)
<=> ( ? [X0: $int,X3: list] :
( inRange(X2,X3)
& $less(X0,X2)
& ~ $less(X0,0)
& ( cons(X0,X3) = X1 ) )
| ( nil = X1 ) ) ),
inference(theory_normalization,[],[f5]) ).
tff(f5,axiom,
! [X2: $int,X1: list] :
( inRange(X2,X1)
<=> ( ? [X0: $int,X3: list] :
( inRange(X2,X3)
& $less(X0,X2)
& $lesseq(0,X0)
& ( cons(X0,X3) = X1 ) )
| ( nil = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange) ).
tff(f41714,plain,
( inRange(4,cons(5,cons(2,nil)))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f41713]) ).
tff(f48255,plain,
( spl2_17
| spl2_15
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f48250,f41713,f48242,f48252]) ).
tff(f48252,plain,
( spl2_17
<=> $less(sK0(4,sK1(4,cons(5,cons(2,nil)))),4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
tff(f48250,plain,
( ( nil = sK1(4,cons(5,cons(2,nil))) )
| $less(sK0(4,sK1(4,cons(5,cons(2,nil)))),4)
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f48236,f31]) ).
tff(f48236,plain,
( ( nil = cons(5,cons(2,nil)) )
| ( nil = sK1(4,cons(5,cons(2,nil))) )
| $less(sK0(4,sK1(4,cons(5,cons(2,nil)))),4)
| ~ spl2_12 ),
inference(resolution,[],[f41714,f5961]) ).
tff(f5961,plain,
! [X0: list,X1: $int] :
( ~ inRange(X1,X0)
| ( nil = X0 )
| ( nil = sK1(X1,X0) )
| $less(sK0(X1,sK1(X1,X0)),X1) ),
inference(resolution,[],[f37,f36]) ).
tff(f36,plain,
! [X0: $int,X1: list] :
( ~ inRange(X0,X1)
| ( nil = X1 )
| $less(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f28]) ).
tff(f37,plain,
! [X0: $int,X1: list] :
( inRange(X0,sK1(X0,X1))
| ( nil = X1 )
| ~ inRange(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tff(f48249,plain,
( spl2_15
| spl2_16
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f48240,f41713,f48246,f48242]) ).
tff(f48246,plain,
( spl2_16
<=> ( sK1(4,cons(5,cons(2,nil))) = cons(sK0(4,sK1(4,cons(5,cons(2,nil)))),sK1(4,sK1(4,cons(5,cons(2,nil))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
tff(f48240,plain,
( ( sK1(4,cons(5,cons(2,nil))) = cons(sK0(4,sK1(4,cons(5,cons(2,nil)))),sK1(4,sK1(4,cons(5,cons(2,nil))))) )
| ( nil = sK1(4,cons(5,cons(2,nil))) )
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f48235,f31]) ).
tff(f48235,plain,
( ( sK1(4,cons(5,cons(2,nil))) = cons(sK0(4,sK1(4,cons(5,cons(2,nil)))),sK1(4,sK1(4,cons(5,cons(2,nil))))) )
| ( nil = cons(5,cons(2,nil)) )
| ( nil = sK1(4,cons(5,cons(2,nil))) )
| ~ spl2_12 ),
inference(resolution,[],[f41714,f7470]) ).
tff(f7470,plain,
! [X0: $int,X1: list] :
( ~ inRange(X0,X1)
| ( sK1(X0,X1) = cons(sK0(X0,sK1(X0,X1)),sK1(X0,sK1(X0,X1))) )
| ( nil = X1 )
| ( nil = sK1(X0,X1) ) ),
inference(resolution,[],[f34,f37]) ).
tff(f34,plain,
! [X0: $int,X1: list] :
( ~ inRange(X0,X1)
| ( nil = X1 )
| ( cons(sK0(X0,X1),sK1(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f28]) ).
tff(f48234,plain,
( spl2_12
| ~ spl2_1
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f48233,f20517,f43,f41713]) ).
tff(f43,plain,
( spl2_1
<=> inRange(4,cons(1,cons(5,cons(2,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f20517,plain,
( spl2_6
<=> ( cons(5,cons(2,nil)) = sK1(4,cons(1,cons(5,cons(2,nil)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f48233,plain,
( inRange(4,cons(5,cons(2,nil)))
| ~ spl2_1
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f48232,f45]) ).
tff(f45,plain,
( inRange(4,cons(1,cons(5,cons(2,nil))))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f48232,plain,
( inRange(4,cons(5,cons(2,nil)))
| ~ inRange(4,cons(1,cons(5,cons(2,nil))))
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f48223,f31]) ).
tff(f48223,plain,
( inRange(4,cons(5,cons(2,nil)))
| ( nil = cons(1,cons(5,cons(2,nil))) )
| ~ inRange(4,cons(1,cons(5,cons(2,nil))))
| ~ spl2_6 ),
inference(superposition,[],[f37,f20519]) ).
tff(f20519,plain,
( ( cons(5,cons(2,nil)) = sK1(4,cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f20517]) ).
tff(f48231,plain,
( spl2_10
| spl2_14
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f45393,f41687,f48229,f41697]) ).
tff(f48229,plain,
( spl2_14
<=> ! [X0: list] :
( ~ inRange(4,X0)
| ( cons(sK0(4,cons(5,cons(2,nil))),X0) = cons(sK0(4,cons(sK0(4,cons(5,cons(2,nil))),X0)),sK1(4,cons(sK0(4,cons(5,cons(2,nil))),X0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
tff(f45393,plain,
( ! [X0: list] :
( ~ inRange(4,X0)
| ( cons(sK0(4,cons(5,cons(2,nil))),X0) = cons(sK0(4,cons(sK0(4,cons(5,cons(2,nil))),X0)),sK1(4,cons(sK0(4,cons(5,cons(2,nil))),X0))) )
| $less(sK0(4,cons(5,cons(2,nil))),0) )
| ~ spl2_9 ),
inference(resolution,[],[f7473,f41689]) ).
tff(f7473,plain,
! [X2: $int,X0: $int,X1: list] :
( ~ $less(X0,X2)
| ~ inRange(X2,X1)
| ( cons(X0,X1) = cons(sK0(X2,cons(X0,X1)),sK1(X2,cons(X0,X1))) )
| $less(X0,0) ),
inference(subsumption_resolution,[],[f7471,f31]) ).
tff(f7471,plain,
! [X2: $int,X0: $int,X1: list] :
( ( cons(X0,X1) = nil )
| ( cons(X0,X1) = cons(sK0(X2,cons(X0,X1)),sK1(X2,cons(X0,X1))) )
| ~ inRange(X2,X1)
| ~ $less(X0,X2)
| $less(X0,0) ),
inference(resolution,[],[f34,f40]) ).
tff(f40,plain,
! [X2: $int,X3: list,X0: $int] :
( inRange(X0,cons(X2,X3))
| ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0) ),
inference(equality_resolution,[],[f39]) ).
tff(f39,plain,
! [X2: $int,X3: list,X0: $int,X1: list] :
( inRange(X0,X1)
| ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0)
| ( cons(X2,X3) != X1 ) ),
inference(cnf_transformation,[],[f28]) ).
tff(f48227,plain,
( ~ spl2_1
| ~ spl2_6
| spl2_12 ),
inference(avatar_contradiction_clause,[],[f48226]) ).
tff(f48226,plain,
( $false
| ~ spl2_1
| ~ spl2_6
| spl2_12 ),
inference(subsumption_resolution,[],[f48225,f45]) ).
tff(f48225,plain,
( ~ inRange(4,cons(1,cons(5,cons(2,nil))))
| ~ spl2_6
| spl2_12 ),
inference(subsumption_resolution,[],[f48224,f31]) ).
tff(f48224,plain,
( ( nil = cons(1,cons(5,cons(2,nil))) )
| ~ inRange(4,cons(1,cons(5,cons(2,nil))))
| ~ spl2_6
| spl2_12 ),
inference(subsumption_resolution,[],[f48223,f41715]) ).
tff(f41715,plain,
( ~ inRange(4,cons(5,cons(2,nil)))
| spl2_12 ),
inference(avatar_component_clause,[],[f41713]) ).
tff(f46509,plain,
( spl2_13
| ~ spl2_1
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f46504,f20517,f43,f46506]) ).
tff(f46504,plain,
( ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) )
| ~ spl2_1
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f46503,f31]) ).
tff(f46503,plain,
( ( nil = cons(5,cons(2,nil)) )
| ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) )
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f46502,f20519]) ).
tff(f46502,plain,
( ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) )
| ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f46501,f20519]) ).
tff(f46501,plain,
( ( sK1(4,cons(1,cons(5,cons(2,nil)))) = cons(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),sK1(4,sK1(4,cons(1,cons(5,cons(2,nil)))))) )
| ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f46499,f31]) ).
tff(f46499,plain,
( ( sK1(4,cons(1,cons(5,cons(2,nil)))) = cons(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),sK1(4,sK1(4,cons(1,cons(5,cons(2,nil)))))) )
| ( nil = cons(1,cons(5,cons(2,nil))) )
| ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_1 ),
inference(resolution,[],[f7470,f45]) ).
tff(f41716,plain,
( ~ spl2_12
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f41711,f41697,f41713]) ).
tff(f41711,plain,
( ~ inRange(4,cons(5,cons(2,nil)))
| ~ spl2_10 ),
inference(subsumption_resolution,[],[f41704,f31]) ).
tff(f41704,plain,
( ( nil = cons(5,cons(2,nil)) )
| ~ inRange(4,cons(5,cons(2,nil)))
| ~ spl2_10 ),
inference(resolution,[],[f41699,f35]) ).
tff(f41699,plain,
( $less(sK0(4,cons(5,cons(2,nil))),0)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f41697]) ).
tff(f41703,plain,
( spl2_10
| spl2_11
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f41691,f41687,f41701,f41697]) ).
tff(f41701,plain,
( spl2_11
<=> ! [X0: list] :
( ~ inRange(4,X0)
| $less(sK0(4,cons(sK0(4,cons(5,cons(2,nil))),X0)),4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
tff(f41691,plain,
( ! [X0: list] :
( ~ inRange(4,X0)
| $less(sK0(4,cons(5,cons(2,nil))),0)
| $less(sK0(4,cons(sK0(4,cons(5,cons(2,nil))),X0)),4) )
| ~ spl2_9 ),
inference(resolution,[],[f41689,f6716]) ).
tff(f6716,plain,
! [X2: $int,X0: $int,X1: list] :
( ~ $less(X2,X0)
| ~ inRange(X0,X1)
| $less(X2,0)
| $less(sK0(X0,cons(X2,X1)),X0) ),
inference(subsumption_resolution,[],[f6714,f31]) ).
tff(f6714,plain,
! [X2: $int,X0: $int,X1: list] :
( ~ inRange(X0,X1)
| ~ $less(X2,X0)
| $less(X2,0)
| ( nil = cons(X2,X1) )
| $less(sK0(X0,cons(X2,X1)),X0) ),
inference(resolution,[],[f40,f36]) ).
tff(f41690,plain,
( spl2_9
| ~ spl2_1
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f41685,f20517,f43,f41687]) ).
tff(f41685,plain,
( $less(sK0(4,cons(5,cons(2,nil))),4)
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f41684,f20519]) ).
tff(f41684,plain,
( $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
| ~ spl2_1
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f41683,f31]) ).
tff(f41683,plain,
( ( nil = cons(5,cons(2,nil)) )
| $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f41682,f20519]) ).
tff(f41682,plain,
( ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
| $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f41680,f31]) ).
tff(f41680,plain,
( ( nil = cons(1,cons(5,cons(2,nil))) )
| ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
| $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
| ~ spl2_1 ),
inference(resolution,[],[f5961,f45]) ).
tff(f20535,plain,
( spl2_8
| ~ spl2_3
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f20528,f20523,f7476,f20532]) ).
tff(f20532,plain,
( spl2_8
<=> ( cons(1,cons(5,cons(2,nil))) = cons(1,sK1(4,cons(1,cons(5,cons(2,nil))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
tff(f7476,plain,
( spl2_3
<=> ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f20523,plain,
( spl2_7
<=> ( 1 = sK0(4,cons(1,cons(5,cons(2,nil)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
tff(f20528,plain,
( ( cons(1,cons(5,cons(2,nil))) = cons(1,sK1(4,cons(1,cons(5,cons(2,nil))))) )
| ~ spl2_3
| ~ spl2_7 ),
inference(backward_demodulation,[],[f7478,f20525]) ).
tff(f20525,plain,
( ( 1 = sK0(4,cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f20523]) ).
tff(f7478,plain,
( ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f7476]) ).
tff(f20526,plain,
( spl2_7
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f20521,f7476,f20523]) ).
tff(f20521,plain,
( ( 1 = sK0(4,cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_3 ),
inference(forward_demodulation,[],[f20505,f32]) ).
tff(f20505,plain,
( ( sK0(4,cons(1,cons(5,cons(2,nil)))) = head(cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_3 ),
inference(superposition,[],[f32,f7478]) ).
tff(f20520,plain,
( spl2_6
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f20515,f7476,f20517]) ).
tff(f20515,plain,
( ( cons(5,cons(2,nil)) = sK1(4,cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_3 ),
inference(forward_demodulation,[],[f20504,f33]) ).
tff(f20504,plain,
( ( sK1(4,cons(1,cons(5,cons(2,nil)))) = tail(cons(1,cons(5,cons(2,nil)))) )
| ~ spl2_3 ),
inference(superposition,[],[f33,f7478]) ).
tff(f20514,plain,
( spl2_4
| spl2_5
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f20503,f7476,f20512,f20508]) ).
tff(f20508,plain,
( spl2_4
<=> $less(sK0(4,cons(1,cons(5,cons(2,nil)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f20512,plain,
( spl2_5
<=> ! [X0: $int] :
( inRange(X0,cons(1,cons(5,cons(2,nil))))
| ~ $less(sK0(4,cons(1,cons(5,cons(2,nil)))),X0)
| ~ inRange(X0,sK1(4,cons(1,cons(5,cons(2,nil))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f20503,plain,
( ! [X0: $int] :
( inRange(X0,cons(1,cons(5,cons(2,nil))))
| ~ inRange(X0,sK1(4,cons(1,cons(5,cons(2,nil)))))
| ~ $less(sK0(4,cons(1,cons(5,cons(2,nil)))),X0)
| $less(sK0(4,cons(1,cons(5,cons(2,nil)))),0) )
| ~ spl2_3 ),
inference(superposition,[],[f40,f7478]) ).
tff(f7479,plain,
( spl2_3
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f7474,f43,f7476]) ).
tff(f7474,plain,
( ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))) )
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f7472,f31]) ).
tff(f7472,plain,
( ( nil = cons(1,cons(5,cons(2,nil))) )
| ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))) )
| ~ spl2_1 ),
inference(resolution,[],[f34,f45]) ).
tff(f5215,plain,
( spl2_2
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f5210,f43,f5212]) ).
tff(f5212,plain,
( spl2_2
<=> $less(sK0(4,cons(1,cons(5,cons(2,nil)))),4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f5210,plain,
( $less(sK0(4,cons(1,cons(5,cons(2,nil)))),4)
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f5209,f31]) ).
tff(f5209,plain,
( ( nil = cons(1,cons(5,cons(2,nil))) )
| $less(sK0(4,cons(1,cons(5,cons(2,nil)))),4)
| ~ spl2_1 ),
inference(resolution,[],[f36,f45]) ).
tff(f46,plain,
spl2_1,
inference(avatar_split_clause,[],[f29,f43]) ).
tff(f29,plain,
inRange(4,cons(1,cons(5,cons(2,nil)))),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
inRange(4,cons(1,cons(5,cons(2,nil)))),
inference(flattening,[],[f7]) ).
tff(f7,negated_conjecture,
~ ~ inRange(4,cons(1,cons(5,cons(2,nil)))),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
~ inRange(4,cons(1,cons(5,cons(2,nil)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : DAT100_1 : TPTP v8.1.2. Released v6.1.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 22:10:14 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (32655)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (32658)WARNING: value z3 for option sas not known
% 0.22/0.38 % (32657)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (32656)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (32659)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (32660)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (32661)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38 % (32662)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38 % (32658)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (32657)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (32656)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (32657)Terminated due to inappropriate strategy.
% 0.22/0.38 % (32657)------------------------------
% 0.22/0.38 % (32657)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (32657)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (32659)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (32656)Terminated due to inappropriate strategy.
% 0.22/0.38 % (32656)------------------------------
% 0.22/0.38 % (32656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (32657)Memory used [KB]: 730
% 0.22/0.38 % (32656)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (32657)Time elapsed: 0.002 s
% 0.22/0.38 % (32656)Memory used [KB]: 729
% 0.22/0.38 % (32657)Instructions burned: 2 (million)
% 0.22/0.38 % (32656)Time elapsed: 0.003 s
% 0.22/0.38 % (32657)------------------------------
% 0.22/0.38 % (32657)------------------------------
% 0.22/0.38 % (32656)Instructions burned: 2 (million)
% 0.22/0.38 % (32656)------------------------------
% 0.22/0.38 % (32656)------------------------------
% 0.22/0.38 % (32659)Terminated due to inappropriate strategy.
% 0.22/0.38 % (32659)------------------------------
% 0.22/0.38 % (32659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (32659)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (32659)Memory used [KB]: 729
% 0.22/0.38 % (32659)Time elapsed: 0.002 s
% 0.22/0.38 % (32659)Instructions burned: 2 (million)
% 0.22/0.38 % (32659)------------------------------
% 0.22/0.38 % (32659)------------------------------
% 0.22/0.40 % (32663)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.40 % (32664)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.22/0.40 % (32665)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.22/0.40 % (32663)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.40 % (32663)Terminated due to inappropriate strategy.
% 0.22/0.40 % (32663)------------------------------
% 0.22/0.40 % (32663)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40 % (32663)Termination reason: Inappropriate
% 0.22/0.40
% 0.22/0.40 % (32663)Memory used [KB]: 729
% 0.22/0.40 % (32663)Time elapsed: 0.003 s
% 0.22/0.40 % (32663)Instructions burned: 2 (million)
% 0.22/0.40 % (32663)------------------------------
% 0.22/0.40 % (32663)------------------------------
% 0.22/0.42 % (32666)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 63.90/9.48 % (32666)First to succeed.
% 63.90/9.49 % (32666)Refutation found. Thanks to Tanya!
% 63.90/9.49 % SZS status Theorem for theBenchmark
% 63.90/9.49 % SZS output start Proof for theBenchmark
% See solution above
% 63.90/9.49 % (32666)------------------------------
% 63.90/9.49 % (32666)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 63.90/9.49 % (32666)Termination reason: Refutation
% 63.90/9.49
% 63.90/9.49 % (32666)Memory used [KB]: 63653
% 63.90/9.49 % (32666)Time elapsed: 9.065 s
% 63.90/9.49 % (32666)Instructions burned: 27613 (million)
% 63.90/9.49 % (32666)------------------------------
% 63.90/9.49 % (32666)------------------------------
% 63.90/9.49 % (32655)Success in time 9.065 s
%------------------------------------------------------------------------------