%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT052-1 : 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 : n020.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 3.55s 1.37s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 14 ( 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 : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| is_aligned(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_30) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_31) ).
fof(f19,negated_conjecture,
dissimilar(sk1,sk2,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background_assumption_1_36) ).
fof(f20,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk2) ),
inference(resolution,[],[f13,f19]) ).
fof(f21,plain,
is_aligned(sk1,sk2),
inference(duplicate_literal_removal,[],[f20]) ).
fof(f22,plain,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk2) ),
inference(resolution,[],[f14,f19]) ).
fof(f23,plain,
~ is_aligned(sk1,sk2),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f25,plain,
$false,
inference(resolution,[],[f23,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT052-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.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 17:30:13 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
% 3.55/1.37 % (3633172)Input is clausal, will run a generic CNF schedule.
% 3.55/1.37 % (3633179)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2866760858:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.55/1.37 % (3633178)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=602087521:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.55/1.37 % (3633177)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=1416460757:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.55/1.37 % (3633183)dis-21_1_sil=8000:lcm=predicate:random_seed=3504299183: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)
% 3.55/1.37 % (3633181)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4266311462:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.55/1.37 % (3633180)lrs+10_1_sil=8000:sp=occurrence:random_seed=489811942:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.55/1.37 % (3633182)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1418432966:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.55/1.37 % (3633181)Also succeeded, but the first one will report.
% 3.55/1.37 % (3633180)Also succeeded, but the first one will report.
% 3.55/1.37 % (3633183)First to succeed.
% 3.55/1.37 % (3633183)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3633172"
% 3.55/1.37 % (3633182)Also succeeded, but the first one will report.
% 3.55/1.37 % (3633183)Refutation found. Thanks to Tanya!
% 3.55/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.55/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.37 % (3633183)------------------------------
% 3.55/1.37 % (3633183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.37 % (3633183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.37 % (3633183)CaDiCaL version: 2.1.3
% 3.55/1.37 % (3633183)Termination reason: Refutation
% 3.55/1.37 % (3633183)Time elapsed: 0.001 s
% 3.55/1.37 % (3633183)Peak memory usage: 88 MB
% 3.55/1.37 % (3633183)------------------------------
% 3.55/1.37 % (3633183)------------------------------
% 3.55/1.37 % (3633172)Success in time 0.437 s
% 3.55/1.37 % Vampire exiting
%------------------------------------------------------------------------------