TSTP Solution File: SEU160+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU160+3 : TPTP v8.1.2. Released v3.2.0.
% 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 : n020.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 00:06:56 EDT 2023
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 78 ( 47 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 87 ( 34 ~; 34 |; 14 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 27 (; 19 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,plain,
$false,
inference(unit_resulting_resolution,[],[f35,f32,f38,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ subset(X0,singleton(X1))
| empty_set = X0
| singleton(X1) = X0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.Mai29ZTHAo/Vampire---4.8_24077',l4_zfmisc_1) ).
fof(f38,plain,
subset(sK0,singleton(sK1)),
inference(unit_resulting_resolution,[],[f35,f32,f20]) ).
fof(f20,plain,
( subset(sK0,singleton(sK1))
| empty_set = sK0
| sK0 = singleton(sK1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ( sK0 != singleton(sK1)
& empty_set != sK0 )
| ~ subset(sK0,singleton(sK1)) )
& ( sK0 = singleton(sK1)
| empty_set = sK0
| subset(sK0,singleton(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f12]) ).
fof(f12,plain,
( ? [X0,X1] :
( ( ( singleton(X1) != X0
& empty_set != X0 )
| ~ subset(X0,singleton(X1)) )
& ( singleton(X1) = X0
| empty_set = X0
| subset(X0,singleton(X1)) ) )
=> ( ( ( sK0 != singleton(sK1)
& empty_set != sK0 )
| ~ subset(sK0,singleton(sK1)) )
& ( sK0 = singleton(sK1)
| empty_set = sK0
| subset(sK0,singleton(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( ( ( singleton(X1) != X0
& empty_set != X0 )
| ~ subset(X0,singleton(X1)) )
& ( singleton(X1) = X0
| empty_set = X0
| subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
? [X0,X1] :
( ( ( singleton(X1) != X0
& empty_set != X0 )
| ~ subset(X0,singleton(X1)) )
& ( singleton(X1) = X0
| empty_set = X0
| subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
? [X0,X1] :
( subset(X0,singleton(X1))
<~> ( singleton(X1) = X0
| empty_set = X0 ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.Mai29ZTHAo/Vampire---4.8_24077',t39_zfmisc_1) ).
fof(f32,plain,
sK0 != singleton(sK1),
inference(unit_resulting_resolution,[],[f24,f30]) ).
fof(f30,plain,
( ~ subset(sK0,sK0)
| sK0 != singleton(sK1) ),
inference(inner_rewriting,[],[f22]) ).
fof(f22,plain,
( sK0 != singleton(sK1)
| ~ subset(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.Mai29ZTHAo/Vampire---4.8_24077',reflexivity_r1_tarski) ).
fof(f35,plain,
empty_set != sK0,
inference(unit_resulting_resolution,[],[f34,f31]) ).
fof(f31,plain,
( ~ subset(empty_set,singleton(sK1))
| empty_set != sK0 ),
inference(inner_rewriting,[],[f21]) ).
fof(f21,plain,
( empty_set != sK0
| ~ subset(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0] : subset(empty_set,singleton(X0)),
inference(equality_resolution,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( empty_set != X0
| subset(X0,singleton(X1)) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SEU160+3 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n020.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 : Wed Aug 30 13:59:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.42 % (24184)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24188)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.42 % (24186)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.42 % (24187)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)
% 0.20/0.42 % (24189)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)
% 0.20/0.42 % (24190)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)
% 0.20/0.42 % (24191)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)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 % (24185)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.42 TRYING [3]
% 0.20/0.42 TRYING [4]
% 0.20/0.42 % (24191)First to succeed.
% 0.20/0.42 TRYING [5]
% 0.20/0.42 % (24190)Also succeeded, but the first one will report.
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 TRYING [6]
% 0.20/0.42 TRYING [3]
% 0.20/0.42 TRYING [1]
% 0.20/0.42 % (24189)Also succeeded, but the first one will report.
% 0.20/0.42 % (24191)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for Vampire---4
% 0.20/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42 % (24191)------------------------------
% 0.20/0.42 % (24191)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (24191)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43 % (24191)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (24191)Memory used [KB]: 895
% 0.20/0.43 % (24191)Time elapsed: 0.003 s
% 0.20/0.43 % (24191)------------------------------
% 0.20/0.43 % (24191)------------------------------
% 0.20/0.43 % (24184)Success in time 0.066 s
% 0.20/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------