TSTP Solution File: NUM742_8 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM742_8 : TPTP v8.1.2. Released v8.0.0.
% 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 : n029.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 : Thu Aug 31 12:14:58 EDT 2023
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 40 ~; 32 |; 0 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 60 (; 60 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(pred_def_1,type,
lessf: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(pred_def_3,type,
sP0: ( frac * frac ) > $o ).
tff(f63,plain,
$false,
inference(resolution,[],[f62,f28]) ).
tff(f28,plain,
lessf(y,z),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
lessf(y,z),
file('/export/starexec/sandbox2/tmp/tmp.T8aAp9xLyg/Vampire---4.8_11007',k) ).
tff(f62,plain,
~ lessf(y,z),
inference(duplicate_literal_removal,[],[f61]) ).
tff(f61,plain,
( ~ lessf(y,z)
| ~ lessf(y,z) ),
inference(resolution,[],[f57,f44]) ).
tff(f44,plain,
( eq(y,x)
| ~ lessf(y,z) ),
inference(resolution,[],[f40,f32]) ).
tff(f32,plain,
! [X0: frac,X1: frac] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: frac,X1: frac] :
( eq(X0,X1)
=> eq(X1,X0) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac] :
( eq(X1,X2)
=> eq(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.T8aAp9xLyg/Vampire---4.8_11007',satz38) ).
tff(f40,plain,
( eq(x,y)
| ~ lessf(y,z) ),
inference(resolution,[],[f38,f29]) ).
tff(f29,plain,
( eq(x,y)
| lessf(x,y) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( eq(x,y)
| lessf(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ lessf(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox2/tmp/tmp.T8aAp9xLyg/Vampire---4.8_11007',l) ).
tff(f38,plain,
! [X0: frac] :
( ~ lessf(x,X0)
| ~ lessf(X0,z) ),
inference(resolution,[],[f27,f33]) ).
tff(f33,plain,
! [X2: frac,X0: frac,X1: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X1)
=> ( lessf(X1,X2)
=> lessf(X0,X2) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac,X3: frac] :
( lessf(X1,X2)
=> ( lessf(X2,X3)
=> lessf(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.T8aAp9xLyg/Vampire---4.8_11007',satz50) ).
tff(f27,plain,
~ lessf(x,z),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
~ lessf(x,z),
inference(flattening,[],[f9]) ).
tff(f9,negated_conjecture,
~ lessf(x,z),
inference(negated_conjecture,[],[f8]) ).
tff(f8,conjecture,
lessf(x,z),
file('/export/starexec/sandbox2/tmp/tmp.T8aAp9xLyg/Vampire---4.8_11007',satz51a) ).
tff(f57,plain,
! [X0: frac] :
( ~ eq(X0,x)
| ~ lessf(X0,z) ),
inference(resolution,[],[f43,f30]) ).
tff(f30,plain,
! [X0: frac] : eq(X0,X0),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: frac] : eq(X0,X0),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X1: frac] : eq(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.T8aAp9xLyg/Vampire---4.8_11007',satz37) ).
tff(f43,plain,
! [X0: frac,X1: frac] :
( ~ eq(X1,z)
| ~ eq(X0,x)
| ~ lessf(X0,X1) ),
inference(resolution,[],[f39,f37]) ).
tff(f37,plain,
! [X3: frac,X0: frac,X1: frac] :
( ~ eq(X1,X3)
| ~ lessf(X0,X1)
| ~ sP0(X0,X3) ),
inference(general_splitting,[],[f34,f36_D]) ).
tff(f36,plain,
! [X2: frac,X3: frac,X0: frac] :
( lessf(X2,X3)
| ~ eq(X0,X2)
| sP0(X0,X3) ),
inference(cnf_transformation,[],[f36_D]) ).
tff(f36_D,plain,
! [X3,X0] :
( ! [X2] :
( lessf(X2,X3)
| ~ eq(X0,X2) )
<=> ~ sP0(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
tff(f34,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X0,X1)
=> ( eq(X0,X2)
=> ( eq(X1,X3)
=> lessf(X2,X3) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( lessf(X1,X2)
=> ( eq(X1,X3)
=> ( eq(X2,X4)
=> lessf(X3,X4) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.T8aAp9xLyg/Vampire---4.8_11007',satz45) ).
tff(f39,plain,
! [X1: frac] :
( sP0(X1,z)
| ~ eq(X1,x) ),
inference(resolution,[],[f27,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM742_8 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 10:01:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TX0_THM_NEQ_NAR problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.T8aAp9xLyg/Vampire---4.8_11007
% 0.15/0.36 % (11170)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (11173)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.42 % (11172)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.42 % (11171)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.42 % (11177)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.42 % (11175)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42 % (11179)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.42 % (11174)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.42 % (11179)First to succeed.
% 0.22/0.42 % (11177)Also succeeded, but the first one will report.
% 0.22/0.42 % (11175)Also succeeded, but the first one will report.
% 0.22/0.42 % (11179)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42 % (11179)------------------------------
% 0.22/0.42 % (11179)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (11179)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (11179)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (11179)Memory used [KB]: 895
% 0.22/0.42 % (11179)Time elapsed: 0.004 s
% 0.22/0.42 % (11179)------------------------------
% 0.22/0.42 % (11179)------------------------------
% 0.22/0.42 % (11170)Success in time 0.062 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------