%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU019+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:51:48 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 44 ( 18 unt; 0 def)
% Number of atoms : 118 ( 37 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 133 ( 59 ~; 56 |; 8 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 41 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f10,axiom,
! [X0] :
( relation(identity_relation(X0))
& function(identity_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f25,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f28,conjecture,
! [X0] : one_to_one(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_funct_1) ).
fof(f29,negated_conjecture,
~ ! [X0] : one_to_one(identity_relation(X0)),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f41,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f42,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f41]) ).
fof(f50,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f51,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f50]) ).
fof(f55,plain,
? [X0] : ~ one_to_one(identity_relation(X0)),
inference(ennf_transformation,[],[f29]) ).
fof(f64,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| apply(X0,sK0(X0)) = apply(X0,sK1(X0))
| ~ function(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f65,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| in(sK1(X0),relation_dom(X0))
| ~ function(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f66,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| in(sK0(X0),relation_dom(X0))
| ~ function(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f67,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| sK0(X0) != sK1(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f74,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f75,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X0)
| apply(X1,X2) = X2
| identity_relation(X0) != X1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f100,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| relation_dom(X1) = X0
| identity_relation(X0) != X1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f103,plain,
~ one_to_one(identity_relation(sK12)),
inference(cnf_transformation,[],[f55]) ).
fof(f108,plain,
! [X0] :
( ~ function(identity_relation(X0))
| ~ relation(identity_relation(X0))
| relation_dom(identity_relation(X0)) = X0 ),
inference(equality_resolution,[],[f100]) ).
fof(f109,plain,
! [X2,X0] :
( ~ function(identity_relation(X0))
| ~ relation(identity_relation(X0))
| ~ in(X2,X0)
| apply(identity_relation(X0),X2) = X2 ),
inference(equality_resolution,[],[f99]) ).
fof(f209,plain,
( ~ relation(identity_relation(sK12))
| in(sK1(identity_relation(sK12)),relation_dom(identity_relation(sK12)))
| ~ function(identity_relation(sK12)) ),
inference(resolution,[],[f65,f103]) ).
fof(f210,plain,
( in(sK1(identity_relation(sK12)),relation_dom(identity_relation(sK12)))
| ~ function(identity_relation(sK12)) ),
inference(forward_subsumption_resolution,[],[f209,f75]) ).
fof(f211,plain,
in(sK1(identity_relation(sK12)),relation_dom(identity_relation(sK12))),
inference(forward_subsumption_resolution,[],[f210,f74]) ).
fof(f215,plain,
( ~ relation(identity_relation(sK12))
| in(sK0(identity_relation(sK12)),relation_dom(identity_relation(sK12)))
| ~ function(identity_relation(sK12)) ),
inference(resolution,[],[f66,f103]) ).
fof(f216,plain,
( in(sK0(identity_relation(sK12)),relation_dom(identity_relation(sK12)))
| ~ function(identity_relation(sK12)) ),
inference(forward_subsumption_resolution,[],[f215,f75]) ).
fof(f217,plain,
in(sK0(identity_relation(sK12)),relation_dom(identity_relation(sK12))),
inference(forward_subsumption_resolution,[],[f216,f74]) ).
fof(f219,plain,
( ~ relation(identity_relation(sK12))
| sK0(identity_relation(sK12)) != sK1(identity_relation(sK12))
| ~ function(identity_relation(sK12)) ),
inference(resolution,[],[f67,f103]) ).
fof(f220,plain,
( sK0(identity_relation(sK12)) != sK1(identity_relation(sK12))
| ~ function(identity_relation(sK12)) ),
inference(forward_subsumption_resolution,[],[f219,f75]) ).
fof(f221,plain,
sK0(identity_relation(sK12)) != sK1(identity_relation(sK12)),
inference(forward_subsumption_resolution,[],[f220,f74]) ).
fof(f222,plain,
! [X0] :
( ~ relation(identity_relation(X0))
| relation_dom(identity_relation(X0)) = X0 ),
inference(resolution,[],[f108,f74]) ).
fof(f225,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(forward_subsumption_resolution,[],[f222,f75]) ).
fof(f231,plain,
( ~ relation(identity_relation(sK12))
| apply(identity_relation(sK12),sK0(identity_relation(sK12))) = apply(identity_relation(sK12),sK1(identity_relation(sK12)))
| ~ function(identity_relation(sK12)) ),
inference(resolution,[],[f64,f103]) ).
fof(f232,plain,
( apply(identity_relation(sK12),sK0(identity_relation(sK12))) = apply(identity_relation(sK12),sK1(identity_relation(sK12)))
| ~ function(identity_relation(sK12)) ),
inference(forward_subsumption_resolution,[],[f231,f75]) ).
fof(f233,plain,
apply(identity_relation(sK12),sK0(identity_relation(sK12))) = apply(identity_relation(sK12),sK1(identity_relation(sK12))),
inference(forward_subsumption_resolution,[],[f232,f74]) ).
fof(f234,plain,
! [X0,X1] :
( ~ relation(identity_relation(X0))
| ~ in(X1,X0)
| apply(identity_relation(X0),X1) = X1 ),
inference(resolution,[],[f109,f74]) ).
fof(f237,plain,
! [X0,X1] :
( ~ in(X1,X0)
| apply(identity_relation(X0),X1) = X1 ),
inference(forward_subsumption_resolution,[],[f234,f75]) ).
fof(f277,plain,
in(sK0(identity_relation(sK12)),sK12),
inference(superposition,[],[f217,f225]) ).
fof(f279,plain,
in(sK1(identity_relation(sK12)),sK12),
inference(superposition,[],[f211,f225]) ).
fof(f385,plain,
sK0(identity_relation(sK12)) = apply(identity_relation(sK12),sK0(identity_relation(sK12))),
inference(resolution,[],[f237,f277]) ).
fof(f386,plain,
sK1(identity_relation(sK12)) = apply(identity_relation(sK12),sK1(identity_relation(sK12))),
inference(resolution,[],[f237,f279]) ).
fof(f394,plain,
sK1(identity_relation(sK12)) = apply(identity_relation(sK12),sK0(identity_relation(sK12))),
inference(superposition,[],[f233,f386]) ).
fof(f395,plain,
sK0(identity_relation(sK12)) = sK1(identity_relation(sK12)),
inference(forward_demodulation,[],[f394,f385]) ).
fof(f397,plain,
$false,
inference(forward_subsumption_resolution,[],[f395,f221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU019+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 03:17:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % (3176983)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3176988)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1828107049_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (3176994)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=147021182:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (3176991)dis+10_1_sil=32000:sp=arity:random_seed=2161935563:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (3176989)% WARNING: option uhcvi not known.
% 0.10/0.45 % (3176992)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=459292067:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (3176990)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2265077553:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (3176993)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2301302586:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (3176989)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2330838103:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % (3176992) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3176983-3176992"...
% 0.10/0.45 % TRYING [5]
% 0.10/0.45 % (3176992)...printing done.
% 0.10/0.45 % (3176992)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (3176992)------------------------------
% 0.10/0.45 % (3176992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (3176992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (3176992)CaDiCaL version: 2.1.3
% 0.10/0.45 % (3176992)Termination reason: Refutation
% 0.10/0.45 % (3176992)Time elapsed: 0.008 s
% 0.10/0.45 % (3176992)Peak memory usage: 11 MB
% 0.10/0.45 % (3176992)Instructions burned: 11 (million)
% 0.10/0.45 % (3176983)Success in time 0.043 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------