%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU083+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:47:12 PM UTC 2026
% Result : Theorem 2.66s 1.35s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 14 ~; 7 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,conjecture,
! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_finset_1) ).
fof(f62,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(set_union2(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f63,axiom,
! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_finset_1) ).
fof(f64,plain,
? [X0,X1] :
( ~ finite(set_union2(X0,X1))
& finite(X0)
& finite(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f65,plain,
? [X0,X1] :
( ~ finite(set_union2(X0,X1))
& finite(X0)
& finite(X1) ),
inference(flattening,[],[f64]) ).
fof(f70,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f71,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(flattening,[],[f70]) ).
fof(f84,plain,
( ~ finite(set_union2(sK0,sK1))
& finite(sK0)
& finite(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f65]) ).
fof(f96,plain,
finite(sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f97,plain,
finite(sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f98,plain,
~ finite(set_union2(sK0,sK1)),
inference(cnf_transformation,[],[f84]) ).
fof(f102,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f153,plain,
( ~ finite(sK0)
| ~ finite(sK1) ),
inference(resolution,[],[f102,f98]) ).
fof(f154,plain,
~ finite(sK1),
inference(forward_subsumption_resolution,[],[f153,f97]) ).
fof(f155,plain,
$false,
inference(forward_subsumption_resolution,[],[f154,f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU083+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 03:26:35 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.66/1.34 % (3181201)Detected formulas, will run a generic FOF schedule.
% 2.66/1.34 % (3181210)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1182154514:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.34 % (3181210)First to succeed.
% 2.66/1.34 % (3181210)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3181201"
% 2.66/1.34 % (3181209)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2694087609:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.34 % (3181208)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=2515371074:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.34 % (3181207)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=3268292766:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.34 % (3181206)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=900021232:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.35 % (3181209)Also succeeded, but the first one will report.
% 2.66/1.35 % (3181211)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2861415682:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.35 % (3181212)dis-21_1_sil=8000:lcm=predicate:random_seed=2017133396: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)
% 2.66/1.35 % (3181211)Also succeeded, but the first one will report.
% 2.66/1.35 % (3181212)Also succeeded, but the first one will report.
% 2.66/1.35 % (3181210)Refutation found. Thanks to Tanya!
% 2.66/1.35 % SZS status Theorem for theBenchmark
% 2.66/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.35 % (3181210)------------------------------
% 2.66/1.35 % (3181210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.35 % (3181210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.35 % (3181210)CaDiCaL version: 2.1.3
% 2.66/1.35 % (3181210)Termination reason: Refutation
% 2.66/1.35 % (3181210)Time elapsed: 0.001 s
% 2.66/1.35 % (3181210)Peak memory usage: 88 MB
% 2.66/1.35 % (3181210)Instructions burned: 2 (million)
% 2.66/1.35 % (3181210)------------------------------
% 2.66/1.35 % (3181210)------------------------------
% 2.66/1.35 % (3181201)Success in time 0.291 s
% 2.66/1.35 % Vampire exiting
%------------------------------------------------------------------------------