TSTP Solution File: DAT093_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT093_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 : n021.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 16:04:09 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 30 ( 14 unt; 16 typ; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 26 ( 0 atm; 13 fun; 13 num; 0 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 : 16 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 14 :)
% 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 * list ) > $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: ( $int * list ) > list ).
tff(func_def_15,type,
sK4: ( $int * list ) > $int ).
tff(func_def_16,type,
sK5: ( $int * list ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f111,plain,
$false,
inference(evaluation,[],[f109]) ).
tff(f109,plain,
0 = $sum(1,0),
inference(superposition,[],[f101,f82]) ).
tff(f82,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
0 = length(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
tff(f101,plain,
! [X1: list] : ( length(X1) = $sum(1,length(X1)) ),
inference(forward_demodulation,[],[f100,f87]) ).
tff(f87,plain,
! [X0: list] : ( append(nil,X0) = X0 ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: list] : ( append(nil,X0) = X0 ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X1: list] : ( append(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_6) ).
tff(f100,plain,
! [X1: list] : ( length(append(nil,X1)) = $sum(1,length(X1)) ),
inference(evaluation,[],[f98]) ).
tff(f98,plain,
! [X1: list] : ( length(append(nil,X1)) = $sum($sum(0,length(X1)),1) ),
inference(superposition,[],[f89,f82]) ).
tff(f89,plain,
! [X0: list,X1: list] : ( length(append(X0,X1)) = $sum($sum(length(X0),length(X1)),1) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: list,X1: list] : ( length(append(X0,X1)) = $sum($sum(length(X0),length(X1)),1) ),
inference(flattening,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ! [X0: list,X1: list] : ( length(append(X0,X1)) = $sum($sum(length(X0),length(X1)),1) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ! [X0: list,X1: list] : ( length(append(X0,X1)) = $sum($sum(length(X0),length(X1)),1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT093=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
% 0.13/0.34 % Computer : n021.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 : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:18:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (6205)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (6206)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)
% 0.20/0.50 % (6219)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (6210)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.51 % (6227)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.51 % (6206)First to succeed.
% 0.20/0.51 % (6219)Instruction limit reached!
% 0.20/0.51 % (6219)------------------------------
% 0.20/0.51 % (6219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (6206)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (6206)------------------------------
% 0.20/0.51 % (6206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (6206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (6206)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (6206)Memory used [KB]: 5628
% 0.20/0.51 % (6206)Time elapsed: 0.114 s
% 0.20/0.51 % (6206)Instructions burned: 5 (million)
% 0.20/0.51 % (6206)------------------------------
% 0.20/0.51 % (6206)------------------------------
% 0.20/0.51 % (6198)Success in time 0.167 s
%------------------------------------------------------------------------------