%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT049-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:02:14 PM UTC 2026
% Result : Unsatisfiable 3.34s 1.36s
% Output : Refutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 13 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_31) ).
fof(f14,axiom,
! [X2,X0,X1] :
( external_ties(X0,X1) = external_ties(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11_32) ).
fof(f15,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_6_33) ).
fof(f17,negated_conjecture,
position(sk1,sk3) != position(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_6_35) ).
fof(f39,plain,
! [X2,X0,X1] :
( position(X0,X1) = position(X0,X2)
| ~ organization(X0) ),
inference(forward_subsumption_resolution,[],[f13,f14]) ).
fof(f52,plain,
! [X0] :
( position(sk1,sk3) != position(sk1,X0)
| ~ organization(sk1) ),
inference(superposition,[],[f17,f39]) ).
fof(f63,plain,
! [X0] : position(sk1,sk3) != position(sk1,X0),
inference(forward_subsumption_resolution,[],[f52,f15]) ).
fof(f69,plain,
$false,
inference(equality_resolution,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT049-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n008.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 17:28:55 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.34/1.36 % (1481498)Input is clausal, will run a generic CNF schedule.
% 3.34/1.36 % (1481525)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1898934149:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.34/1.36 % (1481525)First to succeed.
% 3.34/1.36 % (1481525)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1481498"
% 3.34/1.36 % (1481526)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=209754989:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.34/1.36 % (1481522)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2574592268:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.34/1.36 % (1481524)lrs+10_1_sil=8000:sp=occurrence:random_seed=71950443:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.34/1.36 % (1481521)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1757407838:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.34/1.36 % (1481520)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=4129247959:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.34/1.36 % (1481524)Also succeeded, but the first one will report.
% 3.34/1.36 % (1481526)Also succeeded, but the first one will report.
% 3.34/1.36 % (1481527)dis-21_1_sil=8000:lcm=predicate:random_seed=1358580438: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)
% 3.34/1.36 % (1481527)Also succeeded, but the first one will report.
% 3.34/1.36 % (1481525)Refutation found. Thanks to Tanya!
% 3.34/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.34/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.34/1.36 % (1481525)------------------------------
% 3.34/1.36 % (1481525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.36 % (1481525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.36 % (1481525)CaDiCaL version: 2.1.3
% 3.34/1.36 % (1481525)Termination reason: Refutation
% 3.34/1.36 % (1481525)Time elapsed: 0.003 s
% 3.34/1.36 % (1481525)Peak memory usage: 88 MB
% 3.34/1.36 % (1481525)Instructions burned: 2 (million)
% 3.34/1.36 % (1481525)------------------------------
% 3.34/1.36 % (1481525)------------------------------
% 3.34/1.36 % (1481498)Success in time 0.401 s
% 3.34/1.36 % Vampire exiting
%------------------------------------------------------------------------------