%------------------------------------------------------------------------------
% 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 : n005.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 : Theorem 2.58s 1.32s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 37 ( 17 ~; 10 |; 3 &)
% ( 4 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f8,conjecture,
! [X0,X1] : ~ dissimilar(X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background_assumption_1) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] : ~ dissimilar(X0,X1,X1),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
=> ( organization(X0)
& ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f11,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
=> ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) ) ),
inference(pure_predicate_removal,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
| ~ dissimilar(X0,X1,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f13,plain,
? [X0,X1] : dissimilar(X0,X1,X1),
inference(ennf_transformation,[],[f9]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ dissimilar(X0,X1,X2) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
dissimilar(sK0,sK1,sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f13]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f18,plain,
dissimilar(sK0,sK1,sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f19,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK1) ),
inference(resolution,[],[f16,f18]) ).
fof(f20,plain,
is_aligned(sK0,sK1),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f21,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK1) ),
inference(resolution,[],[f17,f18]) ).
fof(f22,plain,
~ is_aligned(sK0,sK1),
inference(duplicate_literal_removal,[],[f21]) ).
fof(f23,plain,
$false,
inference(resolution,[],[f22,f20]) ).
%------------------------------------------------------------------------------
%----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
% 0.13/0.38 % Computer : n005.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:29:11 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.42 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
% 2.58/1.32 % (41811)Detected formulas, will run a generic FOF schedule.
% 2.58/1.32 % (41869)dis-21_1_sil=8000:lcm=predicate:random_seed=1002494473: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)
% 2.58/1.32 % (41869)First to succeed.
% 2.58/1.32 % (41869)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-41811"
% 2.58/1.32 % (41867)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4039793865:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.58/1.32 % (41866)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1690193954:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.58/1.32 % (41863)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=587270954:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.58/1.32 % (41864)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=1899664084:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.58/1.32 % (41865)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=2164011196:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.58/1.32 % (41867)Refutation not found, incomplete strategy
% 2.58/1.32 % (41867)------------------------------
% 2.58/1.32 % (41867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.32 % (41867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.32 % (41867)CaDiCaL version: 2.1.3
% 2.58/1.32 % (41867)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.32 % (41867)Time elapsed: 0.0000 s
% 2.58/1.32 % (41867)Peak memory usage: 86 MB
% 2.58/1.32 % (41866)Refutation not found, incomplete strategy
% 2.58/1.32 % (41866)------------------------------
% 2.58/1.32 % (41866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.32 % (41866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.32 % (41866)CaDiCaL version: 2.1.3
% 2.58/1.32 % (41866)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.32 % (41866)Time elapsed: 0.0000 s
% 2.58/1.32 % (41866)Peak memory usage: 86 MB
% 2.58/1.32 % (41868)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1038145459:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.58/1.32 % (41868)Also succeeded, but the first one will report.
% 2.58/1.32 % (41869)Refutation found. Thanks to Tanya!
% 2.58/1.32 % SZS status Theorem for theBenchmark
% 2.58/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/1.32 % (41869)------------------------------
% 2.58/1.32 % (41869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.32 % (41869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.32 % (41869)CaDiCaL version: 2.1.3
% 2.58/1.32 % (41869)Termination reason: Refutation
% 2.58/1.32 % (41869)Time elapsed: 0.001 s
% 2.58/1.32 % (41869)Peak memory usage: 88 MB
% 2.58/1.32 % (41869)------------------------------
% 2.58/1.32 % (41869)------------------------------
% 2.58/1.32 % (41811)Success in time 0.268 s
% 2.58/1.32 % Vampire exiting
%------------------------------------------------------------------------------