%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU158+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:47:28 PM UTC 2026
% Result : Theorem 3.01s 1.09s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 12 ~; 10 |; 3 &)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,conjecture,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f8,plain,
? [X0,X1] :
( subset(singleton(X0),X1)
<~> in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f10,plain,
? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f11,plain,
( ( ~ in(sK0,sK1)
| ~ subset(singleton(sK0),sK1) )
& ( in(sK0,sK1)
| subset(singleton(sK0),sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f13,plain,
( in(sK0,sK1)
| subset(singleton(sK0),sK1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f14,plain,
( ~ in(sK0,sK1)
| ~ subset(singleton(sK0),sK1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f15,plain,
! [X0,X1] :
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f16,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
subset(singleton(sK0),sK1),
inference(forward_subsumption_resolution,[],[f13,f16]) ).
fof(f20,plain,
~ subset(singleton(sK0),sK1),
inference(forward_subsumption_resolution,[],[f14,f15]) ).
fof(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU158+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:49:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.01/1.09 % (2975935)Detected formulas, will run a generic FOF schedule.
% 3.01/1.09 % (2975945)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3734424750:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.01/1.09 % (2975944)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=751455305:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.01/1.09 % (2975946)dis-21_1_sil=8000:lcm=predicate:random_seed=3112005199: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)
% 3.01/1.09 % (2975940)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=306096967:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.01/1.09 % (2975943)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2173055826:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.01/1.09 % (2975942)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=244931103:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.01/1.09 % (2975941)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=3565435336:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.01/1.09 % (2975944)Also succeeded, but the first one will report.
% 3.01/1.09 % (2975943)First to succeed.
% 3.01/1.09 % (2975943)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2975935"
% 3.01/1.09 % (2975946)Also succeeded, but the first one will report.
% 3.01/1.09 % (2975945)Also succeeded, but the first one will report.
% 3.01/1.09 % (2975943)Refutation found. Thanks to Tanya!
% 3.01/1.09 % SZS status Theorem for theBenchmark
% 3.01/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.01/1.09 % (2975943)------------------------------
% 3.01/1.09 % (2975943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.09 % (2975943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.09 % (2975943)CaDiCaL version: 2.1.3
% 3.01/1.09 % (2975943)Termination reason: Refutation
% 3.01/1.09 % (2975943)Time elapsed: 0.001 s
% 3.01/1.09 % (2975943)Peak memory usage: 88 MB
% 3.01/1.09 % (2975943)------------------------------
% 3.01/1.09 % (2975943)------------------------------
% 3.01/1.09 % (2975935)Success in time 0.386 s
% 3.01/1.09 % Vampire exiting
%------------------------------------------------------------------------------