TSTP Solution File: SEU527_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU527_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 : n023.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 18:00:07 EDT 2023
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 204 ( 55 equ)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 109 ( 28 ~; 28 |; 15 &)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 131 ( 96 fml; 35 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 66 (; 60 !; 6 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(f107,plain,
$false,
inference(equality_resolution,[],[f88]) ).
tff(f88,plain,
! [X8: $o] : ( $false != (X8) ),
inference(superposition,[],[f5,f75]) ).
tff(f75,plain,
! [X1: $o] : ( $true = (X1) ),
inference(trivial_inequality_removal,[],[f68]) ).
tff(f68,plain,
! [X1: $o] :
( ( sK0 != sK0 )
| ( $true = (X1) ) ),
inference(superposition,[],[f24,f56]) ).
tff(f56,plain,
! [X0: $o] :
( ( sK0 = sK1 )
| ( $true = (X0) ) ),
inference(trivial_inequality_removal,[],[f52]) ).
tff(f52,plain,
! [X0: $o] :
( ( $true != $true )
| ( sK0 = sK1 )
| ( $true = (X0) ) ),
inference(equality_factoring,[],[f36]) ).
tff(f36,plain,
! [X0: $o,X1: $o] :
( ( sK0 = sK1 )
| ( $true = (X0) )
| ( $true = (X1) ) ),
inference(resolution,[],[f35,f33]) ).
tff(f33,plain,
! [X0: $i,X1: $o] :
( ~ in(X0,emptyset)
| ( $true = (X1) ) ),
inference(resolution,[],[f25,f21]) ).
tff(f21,plain,
emptysetE,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( sK0 != sK1 )
& in(sK0,setadjoin(sK1,emptyset))
& setadjoinE
& emptysetE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f19]) ).
tff(f19,plain,
( ? [X0,X1] :
( ( X0 != X1 )
& in(X0,setadjoin(X1,emptyset)) )
=> ( ( sK0 != sK1 )
& in(sK0,setadjoin(sK1,emptyset)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
( ? [X0,X1] :
( ( X0 != X1 )
& in(X0,setadjoin(X1,emptyset)) )
& setadjoinE
& emptysetE ),
inference(flattening,[],[f14]) ).
tff(f14,plain,
( ? [X0,X1] :
( ( X0 != X1 )
& in(X0,setadjoin(X1,emptyset)) )
& setadjoinE
& emptysetE ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
~ ( emptysetE
=> ( setadjoinE
=> ! [X0,X1] :
( in(X0,setadjoin(X1,emptyset))
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,negated_conjecture,
~ ( emptysetE
=> ( setadjoinE
=> ! [X0,X3] :
( in(X0,setadjoin(X3,emptyset))
=> ( X0 = X3 ) ) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
( emptysetE
=> ( setadjoinE
=> ! [X0,X3] :
( in(X0,setadjoin(X3,emptyset))
=> ( X0 = X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.bXaqlJy1b7/Vampire---4.8_12527',uniqinunit) ).
tff(f25,plain,
! [X0: $i,X1: $o] :
( ~ emptysetE
| ~ in(X0,emptyset)
| ( $true = (X1) ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ! [X0] :
( ! [X1: $o] : ( $true = (X1) )
| ~ in(X0,emptyset) )
| ~ emptysetE ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
( emptysetE
=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : ( $true = (X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
tff(f8,plain,
( emptysetE
<=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : ( $true = (X1) ) ) ),
inference(fool_elimination,[],[f7]) ).
tff(f7,plain,
( emptysetE
= ( ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : (X1) ) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
( emptysetE
= ( ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : (X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.bXaqlJy1b7/Vampire---4.8_12527',emptysetE) ).
tff(f35,plain,
! [X0: $o] :
( in(sK0,emptyset)
| ( sK0 = sK1 )
| ( $true = (X0) ) ),
inference(resolution,[],[f34,f23]) ).
tff(f23,plain,
in(sK0,setadjoin(sK1,emptyset)),
inference(cnf_transformation,[],[f20]) ).
tff(f34,plain,
! [X2: $i,X3: $o,X0: $i,X1: $i] :
( ~ in(X0,setadjoin(X2,X1))
| ( X0 = X2 )
| in(X0,X1)
| ( $true = (X3) ) ),
inference(resolution,[],[f26,f22]) ).
tff(f22,plain,
setadjoinE,
inference(cnf_transformation,[],[f20]) ).
tff(f26,plain,
! [X2: $i,X3: $o,X0: $i,X1: $i] :
( ~ setadjoinE
| in(X2,X1)
| ( X0 = X2 )
| ~ in(X2,setadjoin(X0,X1))
| ( $true = (X3) ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ! [X0,X1,X2] :
( ! [X3: $o] :
( ( $true = (X3) )
| ( ( $true != (X3) )
& in(X2,X1) )
| ( ( $true != (X3) )
& ( X0 = X2 ) ) )
| ~ in(X2,setadjoin(X0,X1)) )
| ~ setadjoinE ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( ! [X0,X1,X2] :
( ! [X3: $o] :
( ( $true = (X3) )
| ( ( $true != (X3) )
& in(X2,X1) )
| ( ( $true != (X3) )
& ( X0 = X2 ) ) )
| ~ in(X2,setadjoin(X0,X1)) )
| ~ setadjoinE ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
( setadjoinE
=> ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> ( $true = (X3) ) )
=> ( ( in(X2,X1)
=> ( $true = (X3) ) )
=> ( $true = (X3) ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
tff(f10,plain,
( setadjoinE
<=> ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> ( $true = (X3) ) )
=> ( ( in(X2,X1)
=> ( $true = (X3) ) )
=> ( $true = (X3) ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
tff(f9,plain,
( setadjoinE
= ( ! [X0,X1,X2] :
( in(X2,setadjoin(X0,X1))
=> ! [X3: $o] :
( ( ( X0 = X2 )
=> (X3) )
=> ( ( in(X2,X1)
=> (X3) )
=> (X3) ) ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
( setadjoinE
= ( ! [X0,X2,X3] :
( in(X3,setadjoin(X0,X2))
=> ! [X1: $o] :
( ( ( X0 = X3 )
=> (X1) )
=> ( ( in(X3,X2)
=> (X1) )
=> (X1) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.bXaqlJy1b7/Vampire---4.8_12527',setadjoinE) ).
tff(f24,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f20]) ).
tff(f5,plain,
$true != $false,
introduced(fool_axiom,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU527_8 : TPTP v8.1.2. Released v8.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 21:12:58 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TX0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.bXaqlJy1b7/Vampire---4.8_12527
% 0.15/0.37 % (12726)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43 % (12727)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.15/0.44 % (12730)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.15/0.44 % (12728)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.15/0.44 % (12731)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.15/0.44 % (12732)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.15/0.44 % (12729)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.15/0.44 % (12733)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.44 % (12730)First to succeed.
% 0.23/0.44 % (12729)Also succeeded, but the first one will report.
% 0.23/0.44 % (12728)Also succeeded, but the first one will report.
% 0.23/0.44 % (12730)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (12730)------------------------------
% 0.23/0.44 % (12730)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (12730)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (12730)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (12730)Memory used [KB]: 895
% 0.23/0.44 % (12730)Time elapsed: 0.006 s
% 0.23/0.44 % (12730)------------------------------
% 0.23/0.44 % (12730)------------------------------
% 0.23/0.44 % (12726)Success in time 0.072 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------