TSTP Solution File: SEU121+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU121+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : 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 : Sat Sep 2 00:06:36 EDT 2023
% Result : Theorem 0.16s 0.41s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 24 ~; 14 |; 20 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 42 (; 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,plain,
$false,
inference(subsumption_resolution,[],[f78,f79]) ).
fof(f79,plain,
~ in(sK3(sK0,sK2),sK1),
inference(unit_resulting_resolution,[],[f68,f32,f38]) ).
fof(f38,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.lrssPyYY93/Vampire---4.8_24471',d3_tarski) ).
fof(f32,plain,
subset(sK1,sK2),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ~ subset(sK0,sK2)
& subset(sK1,sK2)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f21]) ).
fof(f21,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) )
=> ( ~ subset(sK0,sK2)
& subset(sK1,sK2)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.lrssPyYY93/Vampire---4.8_24471',t1_xboole_1) ).
fof(f68,plain,
~ in(sK3(sK0,sK2),sK2),
inference(unit_resulting_resolution,[],[f33,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f33,plain,
~ subset(sK0,sK2),
inference(cnf_transformation,[],[f22]) ).
fof(f78,plain,
in(sK3(sK0,sK2),sK1),
inference(unit_resulting_resolution,[],[f60,f31,f38]) ).
fof(f31,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f22]) ).
fof(f60,plain,
in(sK3(sK0,sK2),sK0),
inference(unit_resulting_resolution,[],[f33,f39]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : SEU121+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 14:12:27 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.16/0.40 % (24597)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.41 % (24599)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.41 % (24601)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.41 % (24600)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 Vampire---4 for (569ds/0Mi)
% 0.16/0.41 % (24602)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 Vampire---4 for (531ds/0Mi)
% 0.16/0.41 % (24603)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 Vampire---4 for (522ds/0Mi)
% 0.16/0.41 % (24604)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 Vampire---4 for (497ds/0Mi)
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 % (24598)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.41 TRYING [3]
% 0.16/0.41 TRYING [4]
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 % (24604)First to succeed.
% 0.16/0.41 TRYING [3]
% 0.16/0.41 TRYING [5]
% 0.16/0.41 % (24603)Also succeeded, but the first one will report.
% 0.16/0.41 TRYING [4]
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 TRYING [3]
% 0.16/0.41 % (24602)Also succeeded, but the first one will report.
% 0.16/0.41 % (24604)Refutation found. Thanks to Tanya!
% 0.16/0.41 % SZS status Theorem for Vampire---4
% 0.16/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.41 % (24604)------------------------------
% 0.16/0.41 % (24604)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.41 % (24604)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.41 % (24604)Termination reason: Refutation
% 0.16/0.41
% 0.16/0.41 % (24604)Memory used [KB]: 895
% 0.16/0.41 % (24604)Time elapsed: 0.004 s
% 0.16/0.41 % (24604)------------------------------
% 0.16/0.41 % (24604)------------------------------
% 0.16/0.41 % (24597)Success in time 0.061 s
% 0.16/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------