%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET904+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 : 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 12:42:16 PM UTC 2026
% Result : Theorem 3.37s 1.22s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,conjecture,
! [X0,X1] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_zfmisc_1) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,axiom,
! [X0,X1] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l21_zfmisc_1) ).
fof(f13,plain,
? [X0,X1] :
( ~ in(X0,X1)
& subset(set_union2(singleton(X0),X1),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f14,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(set_union2(singleton(X0),X1),X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f16,plain,
( ~ in(sK0,sK1)
& subset(set_union2(singleton(sK0),sK1),sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f13]) ).
fof(f17,plain,
subset(set_union2(singleton(sK0),sK1),sK1),
inference(cnf_transformation,[],[f16]) ).
fof(f18,plain,
~ in(sK0,sK1),
inference(cnf_transformation,[],[f16]) ).
fof(f19,plain,
! [X0,X1] :
( ~ subset(set_union2(singleton(X0),X1),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
in(sK0,sK1),
inference(resolution,[],[f19,f17]) ).
fof(f24,plain,
$false,
inference(forward_subsumption_resolution,[],[f23,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET904+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 03:07:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.37/1.22 % (3545580)Detected formulas, will run a generic FOF schedule.
% 3.37/1.22 % (3545590)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2738915360:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.37/1.22 % (3545586)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=3815489501:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.37/1.22 % (3545585)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=2725272652:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.37/1.22 % (3545589)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4124538156:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.37/1.22 % (3545588)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2839633177:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.37/1.22 % (3545587)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=2631756479:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.37/1.22 % (3545591)dis-21_1_sil=8000:lcm=predicate:random_seed=1755526573: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)
% 3.37/1.22 % (3545588)Also succeeded, but the first one will report.
% 3.37/1.22 % (3545589)First to succeed.
% 3.37/1.22 % (3545591)Also succeeded, but the first one will report.
% 3.37/1.22 % (3545589)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3545580"
% 3.37/1.22 % (3545590)Also succeeded, but the first one will report.
% 3.37/1.22 % (3545589)Refutation found. Thanks to Tanya!
% 3.37/1.22 % SZS status Theorem for theBenchmark
% 3.37/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.22 % (3545589)------------------------------
% 3.37/1.22 % (3545589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.22 % (3545589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.22 % (3545589)CaDiCaL version: 2.1.3
% 3.37/1.22 % (3545589)Termination reason: Refutation
% 3.37/1.22 % (3545589)Time elapsed: 0.001 s
% 3.37/1.22 % (3545589)Peak memory usage: 88 MB
% 3.37/1.22 % (3545589)------------------------------
% 3.37/1.22 % (3545589)------------------------------
% 3.37/1.22 % (3545580)Success in time 0.429 s
% 3.37/1.22 % Vampire exiting
%------------------------------------------------------------------------------