TSTP Solution File: SEU121+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n024.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 17:55:49 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 ( 6 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 26 ~; 18 |; 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 : 46 (; 34 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,plain,
$false,
inference(resolution,[],[f89,f33]) ).
fof(f33,plain,
~ subset(sK0,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/sandbox2/tmp/tmp.1KX7ixAGDT/Vampire---4.8_18848',t1_xboole_1) ).
fof(f89,plain,
subset(sK0,sK2),
inference(resolution,[],[f84,f50]) ).
fof(f50,plain,
in(sK3(sK0,sK2),sK0),
inference(resolution,[],[f39,f33]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK3(X0,X1),X0) ),
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/sandbox2/tmp/tmp.1KX7ixAGDT/Vampire---4.8_18848',d3_tarski) ).
fof(f84,plain,
! [X1] :
( ~ in(sK3(X1,sK2),sK0)
| subset(X1,sK2) ),
inference(resolution,[],[f59,f52]) ).
fof(f52,plain,
! [X0] :
( in(X0,sK1)
| ~ in(X0,sK0) ),
inference(resolution,[],[f38,f31]) ).
fof(f31,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
! [X1] :
( ~ in(sK3(X1,sK2),sK1)
| subset(X1,sK2) ),
inference(resolution,[],[f53,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
! [X1] :
( in(X1,sK2)
| ~ in(X1,sK1) ),
inference(resolution,[],[f38,f32]) ).
fof(f32,plain,
subset(sK1,sK2),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU121+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n024.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 : Wed Aug 23 21:46:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.1KX7ixAGDT/Vampire---4.8_18848
% 0.14/0.35 % (18956)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.39 % (18957)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)
% 0.20/0.41 % (18958)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)
% 0.20/0.41 % (18960)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)
% 0.20/0.41 % (18961)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)
% 0.20/0.41 % (18963)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)
% 0.20/0.41 % (18962)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)
% 0.20/0.41 % (18960)First to succeed.
% 0.20/0.42 % (18959)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)
% 0.20/0.42 % (18961)Also succeeded, but the first one will report.
% 0.20/0.42 % (18962)Also succeeded, but the first one will report.
% 0.20/0.42 % (18960)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 % (18960)------------------------------
% 0.20/0.42 % (18960)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (18960)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (18960)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (18960)Memory used [KB]: 895
% 0.20/0.42 % (18960)Time elapsed: 0.005 s
% 0.20/0.42 % (18960)------------------------------
% 0.20/0.42 % (18960)------------------------------
% 0.20/0.42 % (18956)Success in time 0.062 s
% 0.20/0.42 18957 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.1KX7ixAGDT/Vampire---4.8_18848
% 0.20/0.42 % (18957)------------------------------
% 0.20/0.42 % (18957)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (18957)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (18957)Termination reason: Unknown
% 0.20/0.42 % (18957)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (18957)Memory used [KB]: 5373
% 0.20/0.42 % (18957)Time elapsed: 0.030 s
% 0.20/0.42 % (18957)------------------------------
% 0.20/0.42 % (18957)------------------------------
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------