TSTP Solution File: DAT081_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT081_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.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 : Wed Aug 31 16:04:07 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 23
% Syntax : Number of formulae : 36 ( 9 unt; 17 typ; 0 def)
% Number of atoms : 72 ( 40 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 81 ( 28 ~; 24 |; 24 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 36 ( 0 atm; 0 fun; 0 num; 36 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 67 ( 41 !; 26 ?; 67 :)
% 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_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_11,type,
sK0: $int ).
tff(func_def_12,type,
sK1: ( $int * list ) > list ).
tff(func_def_13,type,
sK2: ( $int * list ) > $int ).
tff(func_def_14,type,
sK3: ( list * $int ) > list ).
tff(func_def_15,type,
sK4: ( list * $int ) > $int ).
tff(func_def_16,type,
sK5: ( list * $int ) > $int ).
tff(func_def_17,type,
sK6: ( list * $int ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f84,plain,
$false,
inference(unit_resulting_resolution,[],[f63,f63,f53,f66]) ).
tff(f66,plain,
! [X0: list,X1: $int] :
( ~ in(X1,X0)
| ( cons(sK5(X0,X1),sK6(X0,X1)) = X0 )
| ( cons(sK4(X0,X1),sK3(X0,X1)) = X0 ) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: list,X1: $int] :
( ( in(X1,X0)
| ( ! [X2: list,X3: $int] :
( ( X1 != X3 )
| ( cons(X3,X2) != X0 ) )
& ! [X4: $int,X5: list] :
( ( cons(X4,X5) != X0 )
| ~ in(X1,X5) ) ) )
& ( ( ( sK4(X0,X1) = X1 )
& ( cons(sK4(X0,X1),sK3(X0,X1)) = X0 ) )
| ( ( cons(sK5(X0,X1),sK6(X0,X1)) = X0 )
& in(X1,sK6(X0,X1)) )
| ~ in(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f49,f51,f50]) ).
tff(f50,plain,
! [X0: list,X1: $int] :
( ? [X6: list,X7: $int] :
( ( X1 = X7 )
& ( cons(X7,X6) = X0 ) )
=> ( ( sK4(X0,X1) = X1 )
& ( cons(sK4(X0,X1),sK3(X0,X1)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f51,plain,
! [X0: list,X1: $int] :
( ? [X8: $int,X9: list] :
( ( cons(X8,X9) = X0 )
& in(X1,X9) )
=> ( ( cons(sK5(X0,X1),sK6(X0,X1)) = X0 )
& in(X1,sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f49,plain,
! [X0: list,X1: $int] :
( ( in(X1,X0)
| ( ! [X2: list,X3: $int] :
( ( X1 != X3 )
| ( cons(X3,X2) != X0 ) )
& ! [X4: $int,X5: list] :
( ( cons(X4,X5) != X0 )
| ~ in(X1,X5) ) ) )
& ( ? [X6: list,X7: $int] :
( ( X1 = X7 )
& ( cons(X7,X6) = X0 ) )
| ? [X8: $int,X9: list] :
( ( cons(X8,X9) = X0 )
& in(X1,X9) )
| ~ in(X1,X0) ) ),
inference(rectify,[],[f48]) ).
tff(f48,plain,
! [X1: list,X0: $int] :
( ( in(X0,X1)
| ( ! [X5: list,X4: $int] :
( ( X0 != X4 )
| ( cons(X4,X5) != X1 ) )
& ! [X2: $int,X3: list] :
( ( cons(X2,X3) != X1 )
| ~ in(X0,X3) ) ) )
& ( ? [X5: list,X4: $int] :
( ( X0 = X4 )
& ( cons(X4,X5) = X1 ) )
| ? [X2: $int,X3: list] :
( ( cons(X2,X3) = X1 )
& in(X0,X3) )
| ~ in(X0,X1) ) ),
inference(flattening,[],[f47]) ).
tff(f47,plain,
! [X1: list,X0: $int] :
( ( in(X0,X1)
| ( ! [X5: list,X4: $int] :
( ( X0 != X4 )
| ( cons(X4,X5) != X1 ) )
& ! [X2: $int,X3: list] :
( ( cons(X2,X3) != X1 )
| ~ in(X0,X3) ) ) )
& ( ? [X5: list,X4: $int] :
( ( X0 = X4 )
& ( cons(X4,X5) = X1 ) )
| ? [X2: $int,X3: list] :
( ( cons(X2,X3) = X1 )
& in(X0,X3) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X1: list,X0: $int] :
( in(X0,X1)
<=> ( ? [X5: list,X4: $int] :
( ( X0 = X4 )
& ( cons(X4,X5) = X1 ) )
| ? [X2: $int,X3: list] :
( ( cons(X2,X3) = X1 )
& in(X0,X3) ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X2: $int,X1: list] :
( in(X2,X1)
<=> ( ? [X3: $int,X4: list] :
( in(X2,X4)
& ( cons(X3,X4) = X1 ) )
| ? [X3: $int,X4: list] :
( ( X2 = X3 )
& ( cons(X3,X4) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_conv) ).
tff(f53,plain,
in(sK0,nil),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
in(sK0,nil),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f37,f38]) ).
tff(f38,plain,
( ? [X0: $int] : in(X0,nil)
=> in(sK0,nil) ),
introduced(choice_axiom,[]) ).
tff(f37,plain,
? [X0: $int] : in(X0,nil),
inference(ennf_transformation,[],[f31]) ).
tff(f31,plain,
~ ! [X0: $int] : ~ in(X0,nil),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ! [X7: $int] : ~ in(X7,nil),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
! [X7: $int] : ~ in(X7,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
tff(f63,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/sandbox2/benchmark/theBenchmark.p',l4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT081=1 : TPTP v8.1.0. Released v6.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 20:17:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (32597)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.50 % (32602)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (32605)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.51 % (32582)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (32584)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.51 % (32579)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.51 % (32584)First to succeed.
% 0.20/0.51 % (32592)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (32578)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.52 % (32593)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (32584)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (32584)------------------------------
% 0.20/0.52 % (32584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32584)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (32584)Memory used [KB]: 5500
% 0.20/0.52 % (32584)Time elapsed: 0.106 s
% 0.20/0.52 % (32584)Instructions burned: 3 (million)
% 0.20/0.52 % (32584)------------------------------
% 0.20/0.52 % (32584)------------------------------
% 0.20/0.52 % (32575)Success in time 0.161 s
%------------------------------------------------------------------------------