%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:02:12 PM UTC 2026
% Result : Theorem 2.68s 1.35s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 50 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 22 ~; 13 |; 11 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) )
& ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(external_ties(X0,X2),external_ties(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
fof(f9,conjecture,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(position(X0,X2),position(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(position(X0,X2),position(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
? [X0,X1,X2] :
( ~ greater(position(X0,X2),position(X0,X1))
& organization(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f12,plain,
? [X0,X1,X2] :
( ~ greater(position(X0,X2),position(X0,X1))
& organization(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( ( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1)) )
& ( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f14]) ).
fof(f19,plain,
( ~ greater(position(sK0,sK2),position(sK0,sK1))
& organization(sK0)
& greater(age(sK0,sK2),age(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f12]) ).
fof(f20,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f19]) ).
fof(f21,plain,
organization(sK0),
inference(cnf_transformation,[],[f19]) ).
fof(f22,plain,
~ greater(position(sK0,sK2),position(sK0,sK1)),
inference(cnf_transformation,[],[f19]) ).
fof(f24,plain,
! [X2,X0,X1] :
( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X2,X0,X1] :
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f40,plain,
( ~ greater(external_ties(sK0,sK2),external_ties(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f24,f22]) ).
fof(f47,plain,
~ greater(external_ties(sK0,sK2),external_ties(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f40,f21]) ).
fof(f49,plain,
( ~ organization(sK0)
| ~ greater(age(sK0,sK2),age(sK0,sK1)) ),
inference(resolution,[],[f25,f47]) ).
fof(f52,plain,
~ greater(age(sK0,sK2),age(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f49,f21]) ).
fof(f53,plain,
$false,
inference(forward_subsumption_resolution,[],[f52,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:26:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.68/1.35 % (1044098)Detected formulas, will run a generic FOF schedule.
% 2.68/1.35 % (1044107)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3530998654:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.68/1.35 % (1044107)First to succeed.
% 2.68/1.35 % (1044107)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1044098"
% 2.68/1.35 % (1044109)dis-21_1_sil=8000:lcm=predicate:random_seed=1090589324: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)
% 2.68/1.35 % (1044106)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4212598879:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.68/1.35 % (1044104)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=2738933129:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.68/1.35 % (1044103)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=227344029:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.68/1.35 % (1044105)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=1394103254:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.68/1.35 % (1044108)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=563975088:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.68/1.35 % (1044106)Also succeeded, but the first one will report.
% 2.68/1.35 % (1044108)Also succeeded, but the first one will report.
% 2.68/1.35 % (1044109)Also succeeded, but the first one will report.
% 2.68/1.35 % (1044107)Refutation found. Thanks to Tanya!
% 2.68/1.35 % SZS status Theorem for theBenchmark
% 2.68/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/1.35 % (1044107)------------------------------
% 2.68/1.35 % (1044107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.35 % (1044107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.35 % (1044107)CaDiCaL version: 2.1.3
% 2.68/1.35 % (1044107)Termination reason: Refutation
% 2.68/1.35 % (1044107)Time elapsed: 0.002 s
% 2.68/1.35 % (1044107)Peak memory usage: 88 MB
% 2.68/1.35 % (1044107)Instructions burned: 2 (million)
% 2.68/1.35 % (1044107)------------------------------
% 2.68/1.35 % (1044107)------------------------------
% 2.68/1.35 % (1044098)Success in time 0.297 s
% 2.68/1.35 % Vampire exiting
%------------------------------------------------------------------------------