%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET060+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:39:50 PM UTC 2026
% Result : Theorem 2.70s 1.33s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 15 |; 10 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f14,axiom,
! [X0,X1] :
( member(X1,complement(X0))
<=> ( member(X1,universal_class)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
fof(f44,conjecture,
! [X0,X1] : ~ member(X1,intersection(complement(X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',special_classes_lemma) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] : ~ member(X1,intersection(complement(X0),X0)),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f46,plain,
? [X0,X1] : member(X1,intersection(complement(X0),X0)),
inference(ennf_transformation,[],[f45]) ).
fof(f48,plain,
member(sK1,intersection(complement(sK0),sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f46]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| ~ member(X1,universal_class)
| member(X1,X0) )
& ( ( member(X1,universal_class)
& ~ member(X1,X0) )
| ~ member(X1,complement(X0)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f52,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| ~ member(X1,universal_class)
| member(X1,X0) )
& ( ( member(X1,universal_class)
& ~ member(X1,X0) )
| ~ member(X1,complement(X0)) ) ),
inference(flattening,[],[f51]) ).
fof(f64,plain,
member(sK1,intersection(complement(sK0),sK0)),
inference(cnf_transformation,[],[f48]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f69,plain,
! [X0,X1] :
( ~ member(X1,complement(X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f95,plain,
member(sK1,sK0),
inference(resolution,[],[f66,f64]) ).
fof(f96,plain,
member(sK1,complement(sK0)),
inference(resolution,[],[f67,f64]) ).
fof(f98,plain,
~ member(sK1,sK0),
inference(resolution,[],[f96,f69]) ).
fof(f99,plain,
$false,
inference(forward_subsumption_resolution,[],[f98,f95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET060+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:24:25 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.70/1.33 % (3479609)Detected formulas, will run a generic FOF schedule.
% 2.70/1.33 % (3479618)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3080552959:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.33 % (3479618)First to succeed.
% 2.70/1.33 % (3479618)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3479609"
% 2.70/1.33 % (3479616)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1788925746:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.33 % (3479614)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3312281565:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.33 % (3479617)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3121885097:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.33 % (3479615)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1631373005:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.33 % (3479620)dis-21_1_sil=8000:lcm=predicate:random_seed=169812848:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.70/1.33 % (3479619)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2147141142:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.33 % (3479617)Also succeeded, but the first one will report.
% 2.70/1.33 % (3479620)Also succeeded, but the first one will report.
% 2.70/1.33 % (3479619)Also succeeded, but the first one will report.
% 2.70/1.33 % (3479618)Refutation found. Thanks to Tanya!
% 2.70/1.33 % SZS status Theorem for theBenchmark
% 2.70/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.33 % (3479618)------------------------------
% 2.70/1.33 % (3479618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.33 % (3479618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.33 % (3479618)CaDiCaL version: 2.1.3
% 2.70/1.33 % (3479618)Termination reason: Refutation
% 2.70/1.33 % (3479618)Time elapsed: 0.001 s
% 2.70/1.33 % (3479618)Peak memory usage: 88 MB
% 2.70/1.33 % (3479618)Instructions burned: 2 (million)
% 2.70/1.33 % (3479618)------------------------------
% 2.70/1.33 % (3479618)------------------------------
% 2.70/1.33 % (3479609)Success in time 0.298 s
% 2.70/1.33 % Vampire exiting
%------------------------------------------------------------------------------