%------------------------------------------------------------------------------
% 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 : n010.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 : Unsatisfiable 2.62s 1.24s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X2,X0,X1] :
( ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0)
| greater(position(X0,X1),position(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_30) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(external_ties(X0,X1),external_ties(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8_32) ).
fof(f15,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4_33) ).
fof(f16,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4_34) ).
fof(f17,negated_conjecture,
~ greater(position(sk1,sk3),position(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4_35) ).
fof(f50,plain,
( ~ organization(sk1)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(resolution,[],[f14,f16]) ).
fof(f52,plain,
greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f50,f15]) ).
fof(f53,plain,
( ~ organization(sk1)
| greater(position(sk1,sk3),position(sk1,sk2)) ),
inference(resolution,[],[f52,f12]) ).
fof(f58,plain,
greater(position(sk1,sk3),position(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f53,f15]) ).
fof(f59,plain,
$false,
inference(forward_subsumption_resolution,[],[f58,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:28:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.62/1.24 % (1187823)Input is clausal, will run a generic CNF schedule.
% 2.62/1.24 % (1187831)lrs+10_1_sil=8000:sp=occurrence:random_seed=2333594400:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.62/1.24 % (1187831)First to succeed.
% 2.62/1.24 % (1187831)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1187823"
% 2.62/1.24 % (1187832)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=68720136:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.62/1.24 % (1187834)dis-21_1_sil=8000:lcm=predicate:random_seed=673313343:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.62/1.24 % (1187829)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3711497754:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.62/1.24 % (1187830)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1717639476:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.62/1.24 % (1187828)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=780107486:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.62/1.24 % (1187833)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4285765778:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.62/1.24 % (1187833)Also succeeded, but the first one will report.
% 2.62/1.24 % (1187832)Also succeeded, but the first one will report.
% 2.62/1.24 % (1187834)Also succeeded, but the first one will report.
% 2.62/1.24 % (1187831)Refutation found. Thanks to Tanya!
% 2.62/1.24 % SZS status Unsatisfiable for theBenchmark
% 2.62/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.24 % (1187831)------------------------------
% 2.62/1.24 % (1187831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.24 % (1187831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.24 % (1187831)CaDiCaL version: 2.1.3
% 2.62/1.24 % (1187831)Termination reason: Refutation
% 2.62/1.24 % (1187831)Time elapsed: 0.002 s
% 2.62/1.24 % (1187831)Peak memory usage: 88 MB
% 2.62/1.24 % (1187831)Instructions burned: 2 (million)
% 2.62/1.24 % (1187831)------------------------------
% 2.62/1.24 % (1187831)------------------------------
% 2.62/1.24 % (1187823)Success in time 0.3 s
% 2.62/1.24 % Vampire exiting
%------------------------------------------------------------------------------