%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU020+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 12:47:05 PM UTC 2026
% Result : Theorem 3.64s 1.49s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 13 unt; 0 def)
% Number of atoms : 137 ( 14 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 174 ( 74 ~; 63 |; 27 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
=> subset(relation_rng(X1),relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_funct_1) ).
fof(f32,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(relation_composition(X1,X0))
& subset(relation_rng(X1),relation_dom(X0)) )
=> one_to_one(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1) ).
fof(f34,axiom,
! [X0] : one_to_one(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_funct_1) ).
fof(f35,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_funct_1) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
=> one_to_one(X0) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f39,axiom,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f43,plain,
? [X0] :
( ~ one_to_one(X0)
& ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f44,plain,
? [X0] :
( ~ one_to_one(X0)
& ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f43]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( one_to_one(X1)
| ~ one_to_one(relation_composition(X1,X0))
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( one_to_one(X1)
| ~ one_to_one(relation_composition(X1,X0))
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f59]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(X1),relation_dom(X0))
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(X1),relation_dom(X0))
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f64]) ).
fof(f75,plain,
( ~ one_to_one(sK0)
& relation(sK1)
& function(sK1)
& relation_composition(sK0,sK1) = identity_relation(relation_dom(sK0))
& relation(sK0)
& function(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f44]) ).
fof(f85,plain,
function(sK0),
inference(cnf_transformation,[],[f75]) ).
fof(f86,plain,
relation(sK0),
inference(cnf_transformation,[],[f75]) ).
fof(f87,plain,
relation_composition(sK0,sK1) = identity_relation(relation_dom(sK0)),
inference(cnf_transformation,[],[f75]) ).
fof(f88,plain,
function(sK1),
inference(cnf_transformation,[],[f75]) ).
fof(f89,plain,
relation(sK1),
inference(cnf_transformation,[],[f75]) ).
fof(f90,plain,
~ one_to_one(sK0),
inference(cnf_transformation,[],[f75]) ).
fof(f93,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f39]) ).
fof(f115,plain,
! [X0] : one_to_one(identity_relation(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f116,plain,
! [X0,X1] :
( ~ subset(relation_rng(X1),relation_dom(X0))
| ~ one_to_one(relation_composition(X1,X0))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f124,plain,
! [X0,X1] :
( relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f201,plain,
( relation_dom(sK0) != relation_dom(identity_relation(relation_dom(sK0)))
| subset(relation_rng(sK0),relation_dom(sK1))
| ~ relation(sK0)
| ~ function(sK0)
| ~ relation(sK1)
| ~ function(sK1) ),
inference(superposition,[],[f124,f87]) ).
fof(f202,plain,
( subset(relation_rng(sK0),relation_dom(sK1))
| ~ relation(sK0)
| ~ function(sK0)
| ~ relation(sK1)
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f201,f93]) ).
fof(f203,plain,
( subset(relation_rng(sK0),relation_dom(sK1))
| ~ function(sK0)
| ~ relation(sK1)
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f202,f86]) ).
fof(f204,plain,
( subset(relation_rng(sK0),relation_dom(sK1))
| ~ relation(sK1)
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f203,f85]) ).
fof(f205,plain,
( subset(relation_rng(sK0),relation_dom(sK1))
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f204,f89]) ).
fof(f206,plain,
subset(relation_rng(sK0),relation_dom(sK1)),
inference(forward_subsumption_resolution,[],[f205,f88]) ).
fof(f207,plain,
( ~ one_to_one(relation_composition(sK0,sK1))
| one_to_one(sK0)
| ~ relation(sK0)
| ~ function(sK0)
| ~ relation(sK1)
| ~ function(sK1) ),
inference(resolution,[],[f206,f116]) ).
fof(f208,plain,
( ~ one_to_one(relation_composition(sK0,sK1))
| ~ relation(sK0)
| ~ function(sK0)
| ~ relation(sK1)
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f207,f90]) ).
fof(f209,plain,
( ~ one_to_one(relation_composition(sK0,sK1))
| ~ function(sK0)
| ~ relation(sK1)
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f208,f86]) ).
fof(f210,plain,
( ~ one_to_one(relation_composition(sK0,sK1))
| ~ relation(sK1)
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f209,f85]) ).
fof(f211,plain,
( ~ one_to_one(relation_composition(sK0,sK1))
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f210,f89]) ).
fof(f212,plain,
~ one_to_one(relation_composition(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f211,f88]) ).
fof(f213,plain,
~ one_to_one(identity_relation(relation_dom(sK0))),
inference(forward_demodulation,[],[f212,f87]) ).
fof(f214,plain,
$false,
inference(forward_subsumption_resolution,[],[f213,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU020+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.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 03:19:05 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 3.64/1.49 % (3178649)Detected formulas, will run a generic FOF schedule.
% 3.64/1.49 % (3178654)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=2161237724:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.64/1.49 % (3178657)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3506023582:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.64/1.49 % (3178658)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1395418153:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.64/1.49 % (3178656)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=327430219:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.64/1.49 % (3178660)dis-21_1_sil=8000:lcm=predicate:random_seed=3865480065: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)
% 3.64/1.49 % (3178659)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=389522231:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.64/1.49 % (3178655)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=1721109011:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.64/1.49 % (3178657)Refutation not found, incomplete strategy
% 3.64/1.49 % (3178657)------------------------------
% 3.64/1.49 % (3178657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.49 % (3178657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.49 % (3178657)CaDiCaL version: 2.1.3
% 3.64/1.49 % (3178657)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.49 % (3178657)Time elapsed: 0.002 s
% 3.64/1.49 % (3178657)Peak memory usage: 88 MB
% 3.64/1.49 % (3178657)Instructions burned: 1 (million)
% 3.64/1.49 % (3178658)First to succeed.
% 3.64/1.49 % (3178659)Also succeeded, but the first one will report.
% 3.64/1.49 % (3178658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3178649"
% 3.64/1.49 % (3178660)Instruction limit reached!
% 3.64/1.49 % (3178660)------------------------------
% 3.64/1.49 % (3178660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.49 % (3178660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.49 % (3178660)CaDiCaL version: 2.1.3
% 3.64/1.49 % (3178660)Termination reason: Instruction limit
% 3.64/1.49 % (3178660)Termination phase: Saturation
% 3.64/1.49 % (3178660)Time elapsed: 0.085 s
% 3.64/1.49 % (3178660)Peak memory usage: 90 MB
% 3.64/1.49 % (3178660)Instructions burned: 130 (million)
% 3.64/1.49 % (3178657)------------------------------
% 3.64/1.49 % (3178657)------------------------------
% 3.64/1.49 % (3178658)Refutation found. Thanks to Tanya!
% 3.64/1.49 % SZS status Theorem for theBenchmark
% 3.64/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.49 % (3178658)------------------------------
% 3.64/1.49 % (3178658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.49 % (3178658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.49 % (3178658)CaDiCaL version: 2.1.3
% 3.64/1.49 % (3178658)Termination reason: Refutation
% 3.64/1.49 % (3178658)Time elapsed: 0.005 s
% 3.64/1.49 % (3178658)Peak memory usage: 88 MB
% 3.64/1.49 % (3178658)Instructions burned: 5 (million)
% 3.64/1.49 % (3178658)------------------------------
% 3.64/1.49 % (3178658)------------------------------
% 3.64/1.49 % (3178649)Success in time 0.435 s
% 3.64/1.49 % Vampire exiting
%------------------------------------------------------------------------------