%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU010+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 : n012.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 12:47:03 PM UTC 2026
% Result : Theorem 2.02s 0.89s
% Output : Refutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 67 ( 26 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 37 ~; 25 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f36,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation_composition(identity_relation(relation_dom(X0)),X0) = X0
& relation_composition(X0,identity_relation(relation_rng(X0))) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation_composition(identity_relation(relation_dom(X0)),X0) = X0
& relation_composition(X0,identity_relation(relation_rng(X0))) = X0 ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,axiom,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_dom(X1),X0)
=> relation_composition(identity_relation(X0),X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t77_relat_1) ).
fof(f39,axiom,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_rng(X1),X0)
=> relation_composition(X1,identity_relation(X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_relat_1) ).
fof(f40,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f22]) ).
fof(f41,plain,
? [X0] :
( ( relation_composition(identity_relation(relation_dom(X0)),X0) != X0
| relation_composition(X0,identity_relation(relation_rng(X0))) != X0 )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f42,plain,
? [X0] :
( ( relation_composition(identity_relation(relation_dom(X0)),X0) != X0
| relation_composition(X0,identity_relation(relation_rng(X0))) != X0 )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f41]) ).
fof(f44,plain,
! [X0,X1] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f45,plain,
! [X0,X1] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(flattening,[],[f44]) ).
fof(f50,plain,
! [X0,X1] :
( relation_composition(X1,identity_relation(X0)) = X1
| ~ subset(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f51,plain,
! [X0,X1] :
( relation_composition(X1,identity_relation(X0)) = X1
| ~ subset(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(flattening,[],[f50]) ).
fof(f73,plain,
( ( sK0 != relation_composition(identity_relation(relation_dom(sK0)),sK0)
| sK0 != relation_composition(sK0,identity_relation(relation_rng(sK0))) )
& relation(sK0)
& function(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f42]) ).
fof(f84,plain,
relation(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f85,plain,
( sK0 != relation_composition(sK0,identity_relation(relation_rng(sK0)))
| sK0 != relation_composition(identity_relation(relation_dom(sK0)),sK0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f87,plain,
! [X0,X1] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f96,plain,
! [X0,X1] :
( relation_composition(X1,identity_relation(X0)) = X1
| ~ subset(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f117,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f40]) ).
fof(f166,plain,
( sK0 != sK0
| sK0 != relation_composition(identity_relation(relation_dom(sK0)),sK0)
| ~ subset(relation_rng(sK0),relation_rng(sK0))
| ~ relation(sK0) ),
inference(superposition,[],[f85,f96]) ).
fof(f176,plain,
( sK0 != relation_composition(identity_relation(relation_dom(sK0)),sK0)
| ~ subset(relation_rng(sK0),relation_rng(sK0))
| ~ relation(sK0) ),
inference(trivial_inequality_removal,[],[f166]) ).
fof(f178,plain,
( sK0 != relation_composition(identity_relation(relation_dom(sK0)),sK0)
| ~ relation(sK0) ),
inference(forward_subsumption_resolution,[],[f176,f117]) ).
fof(f181,plain,
sK0 != relation_composition(identity_relation(relation_dom(sK0)),sK0),
inference(forward_subsumption_resolution,[],[f178,f84]) ).
fof(f183,plain,
( sK0 != sK0
| ~ subset(relation_dom(sK0),relation_dom(sK0))
| ~ relation(sK0) ),
inference(superposition,[],[f181,f87]) ).
fof(f184,plain,
( ~ subset(relation_dom(sK0),relation_dom(sK0))
| ~ relation(sK0) ),
inference(trivial_inequality_removal,[],[f183]) ).
fof(f185,plain,
~ relation(sK0),
inference(forward_subsumption_resolution,[],[f184,f117]) ).
fof(f186,plain,
$false,
inference(forward_subsumption_resolution,[],[f185,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU010+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 03:21:19 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 2.02/0.89 % (2986145)Detected formulas, will run a generic FOF schedule.
% 2.02/0.89 % (2986156)dis-21_1_sil=8000:lcm=predicate:random_seed=3332610363: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)
% 2.02/0.89 % (2986150)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=1931834367:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.02/0.89 % (2986155)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1716242179:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.02/0.89 % (2986154)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1342991847:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.02/0.89 % (2986152)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=1849213051:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.02/0.89 % (2986151)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=2219283031:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.02/0.89 % (2986153)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1702259125:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.02/0.89 % (2986153)Refutation not found, incomplete strategy
% 2.02/0.89 % (2986153)------------------------------
% 2.02/0.89 % (2986153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/0.89 % (2986153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.89 % (2986153)CaDiCaL version: 2.1.3
% 2.02/0.89 % (2986153)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.89 % (2986153)Time elapsed: 0.001 s
% 2.02/0.89 % (2986153)Peak memory usage: 88 MB
% 2.02/0.89 % (2986153)Instructions burned: 1 (million)
% 2.02/0.89 % (2986154)First to succeed.
% 2.02/0.89 % (2986156)Also succeeded, but the first one will report.
% 2.02/0.89 % (2986154)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2986145"
% 2.02/0.89 % (2986155)Also succeeded, but the first one will report.
% 2.02/0.89 % (2986153)------------------------------
% 2.02/0.89 % (2986153)------------------------------
% 2.02/0.89 % (2986154)Refutation found. Thanks to Tanya!
% 2.02/0.89 % SZS status Theorem for theBenchmark
% 2.02/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.89 % (2986154)------------------------------
% 2.02/0.89 % (2986154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/0.89 % (2986154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.89 % (2986154)CaDiCaL version: 2.1.3
% 2.02/0.89 % (2986154)Termination reason: Refutation
% 2.02/0.89 % (2986154)Time elapsed: 0.002 s
% 2.02/0.89 % (2986154)Peak memory usage: 88 MB
% 2.02/0.89 % (2986154)Instructions burned: 4 (million)
% 2.02/0.89 % (2986154)------------------------------
% 2.02/0.89 % (2986154)------------------------------
% 2.02/0.89 % (2986145)Success in time 0.263 s
% 2.02/0.89 % Vampire exiting
%------------------------------------------------------------------------------