TSTP Solution File: DAT082_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT082_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n002.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 30 22:21:44 EDT 2023
% Result : Theorem 0.14s 0.43s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 32 ( 14 unt; 18 typ; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 39 ( 0 atm; 8 fun; 28 num; 3 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 29 ( 16 >; 13 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 6 (; 6 !; 0 ?; 6 :)
% 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_12,type,
sK2: ( $int * list ) > $int ).
tff(func_def_13,type,
sK3: ( $int * list ) > list ).
tff(func_def_14,type,
sK4: ( $int * list ) > $int ).
tff(func_def_15,type,
sK5: ( $int * list ) > list ).
tff(func_def_16,type,
sK6: ( $int * list ) > $int ).
tff(func_def_17,type,
sK7: ( $int * list ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(pred_def_6,type,
sP0: ( $int * list ) > $o ).
tff(pred_def_7,type,
sP1: ( $int * list ) > $o ).
tff(f101,plain,
$false,
inference(evaluation,[],[f100]) ).
tff(f100,plain,
2 != $sum(2,0),
inference(forward_demodulation,[],[f99,f62]) ).
tff(f62,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
0 = length(nil),
file('/export/starexec/sandbox2/tmp/tmp.oYHT8Jov6p/Vampire---4.8_26039',l) ).
tff(f99,plain,
2 != $sum(2,length(nil)),
inference(evaluation,[],[f98]) ).
tff(f98,plain,
2 != $sum(1,$sum(1,length(nil))),
inference(forward_demodulation,[],[f97,f69]) ).
tff(f69,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3: $int,X4: list] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.oYHT8Jov6p/Vampire---4.8_26039',l_1) ).
tff(f97,plain,
2 != $sum(1,length(cons(2,nil))),
inference(backward_demodulation,[],[f61,f69]) ).
tff(f61,plain,
2 != length(cons(1,cons(2,nil))),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
2 != length(cons(1,cons(2,nil))),
inference(flattening,[],[f16]) ).
tff(f16,negated_conjecture,
( ~ 2 = length(cons(1,cons(2,nil))) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
2 = length(cons(1,cons(2,nil))),
file('/export/starexec/sandbox2/tmp/tmp.oYHT8Jov6p/Vampire---4.8_26039',c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT082_1 : TPTP v8.1.2. Released v6.1.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 14:24:01 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.oYHT8Jov6p/Vampire---4.8_26039
% 0.14/0.36 % (26156)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.42 % (26167)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.14/0.42 % (26162)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.14/0.42 % (26166)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.14/0.42 % (26163)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.14/0.42 % (26164)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.14/0.42 % (26168)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.14/0.42 % (26168)First to succeed.
% 0.14/0.42 % (26165)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.14/0.43 % (26168)Refutation found. Thanks to Tanya!
% 0.14/0.43 % SZS status Theorem for Vampire---4
% 0.14/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.43 % (26168)------------------------------
% 0.14/0.43 % (26168)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.43 % (26168)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.43 % (26168)Termination reason: Refutation
% 0.14/0.43
% 0.14/0.43 % (26168)Memory used [KB]: 1023
% 0.14/0.43 % (26168)Time elapsed: 0.005 s
% 0.14/0.43 % (26168)------------------------------
% 0.14/0.43 % (26168)------------------------------
% 0.14/0.43 % (26156)Success in time 0.064 s
% 0.14/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------