TSTP Solution File: SEU140+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU140+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 : n017.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 17:55:58 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 53 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 44 ( 17 ~; 8 |; 13 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 36 (; 27 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(trivial_inequality_removal,[],[f93]) ).
fof(f93,plain,
empty_set != empty_set,
inference(backward_demodulation,[],[f58,f87]) ).
fof(f87,plain,
empty_set = set_intersection2(sK0,sK2),
inference(resolution,[],[f78,f44]) ).
fof(f44,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.rSD32Z3yjn/Vampire---4.8_18727',t3_xboole_1) ).
fof(f78,plain,
subset(set_intersection2(sK0,sK2),empty_set),
inference(superposition,[],[f55,f56]) ).
fof(f56,plain,
empty_set = set_intersection2(sK1,sK2),
inference(resolution,[],[f39,f49]) ).
fof(f49,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set )
& ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox2/tmp/tmp.rSD32Z3yjn/Vampire---4.8_18727',d7_xboole_0) ).
fof(f39,plain,
disjoint(sK1,sK2),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ~ disjoint(sK0,sK2)
& disjoint(sK1,sK2)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f31]) ).
fof(f31,plain,
( ? [X0,X1,X2] :
( ~ disjoint(X0,X2)
& disjoint(X1,X2)
& subset(X0,X1) )
=> ( ~ disjoint(sK0,sK2)
& disjoint(sK1,sK2)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ~ disjoint(X0,X2)
& disjoint(X1,X2)
& subset(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ~ disjoint(X0,X2)
& disjoint(X1,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( disjoint(X1,X2)
& subset(X0,X1) )
=> disjoint(X0,X2) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( disjoint(X1,X2)
& subset(X0,X1) )
=> disjoint(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.rSD32Z3yjn/Vampire---4.8_18727',t63_xboole_1) ).
fof(f55,plain,
! [X0] : subset(set_intersection2(sK0,X0),set_intersection2(sK1,X0)),
inference(resolution,[],[f38,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.rSD32Z3yjn/Vampire---4.8_18727',t26_xboole_1) ).
fof(f38,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
empty_set != set_intersection2(sK0,sK2),
inference(resolution,[],[f40,f50]) ).
fof(f50,plain,
! [X0,X1] :
( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set ),
inference(cnf_transformation,[],[f33]) ).
fof(f40,plain,
~ disjoint(sK0,sK2),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU140+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n017.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 14:04:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.rSD32Z3yjn/Vampire---4.8_18727
% 0.15/0.36 % (18859)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (18864)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)
% 0.22/0.42 % (18866)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)
% 0.22/0.42 % (18865)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)
% 0.22/0.42 % (18863)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)
% 0.22/0.42 % (18868)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)
% 0.22/0.42 % (18867)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)
% 0.22/0.43 % (18866)First to succeed.
% 0.22/0.43 % (18868)Also succeeded, but the first one will report.
% 0.22/0.43 % (18866)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (18866)------------------------------
% 0.22/0.43 % (18866)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (18866)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (18866)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (18866)Memory used [KB]: 895
% 0.22/0.43 % (18866)Time elapsed: 0.006 s
% 0.22/0.43 % (18866)------------------------------
% 0.22/0.43 % (18866)------------------------------
% 0.22/0.43 % (18859)Success in time 0.064 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------