%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:02:19 PM UTC 2026
% Result : Theorem 2.70s 1.35s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 5 |; 6 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 24 ( 19 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0,X1,X2,X3] :
( axis_conflict(X0,X1,X2,X3)
<=> ~ ? [X4] :
( in_closed(X4,X0,X1)
& in_closed(X4,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axis_conflict_def) ).
fof(f40,axiom,
axis_conflict(n0,n5,n10,n15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conflict_hyp) ).
fof(f41,conjecture,
~ ? [X0] :
( in_closed(X0,n0,n5)
& in_closed(X0,n10,n15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_false_conflict) ).
fof(f42,negated_conjecture,
~ ~ ? [X0] :
( in_closed(X0,n0,n5)
& in_closed(X0,n10,n15) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f43,plain,
? [X0] :
( in_closed(X0,n0,n5)
& in_closed(X0,n10,n15) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( axis_conflict(X0,X1,X2,X3)
=> ~ ? [X4] :
( in_closed(X4,X0,X1)
& in_closed(X4,X2,X3) ) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ in_closed(X4,X0,X1)
| ~ in_closed(X4,X2,X3) )
| ~ axis_conflict(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f44]) ).
fof(f67,plain,
( in_closed(sK0,n0,n5)
& in_closed(sK0,n10,n15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f43]) ).
fof(f78,plain,
axis_conflict(n0,n5,n10,n15),
inference(cnf_transformation,[],[f40]) ).
fof(f79,plain,
in_closed(sK0,n10,n15),
inference(cnf_transformation,[],[f67]) ).
fof(f80,plain,
in_closed(sK0,n0,n5),
inference(cnf_transformation,[],[f67]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] :
( ~ axis_conflict(X0,X1,X2,X3)
| ~ in_closed(X4,X2,X3)
| ~ in_closed(X4,X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f1417,plain,
! [X0] :
( ~ in_closed(X0,n0,n5)
| ~ in_closed(X0,n10,n15) ),
inference(resolution,[],[f90,f78]) ).
fof(f2510,plain,
~ in_closed(sK0,n10,n15),
inference(resolution,[],[f1417,f80]) ).
fof(f2601,plain,
$false,
inference(resolution,[],[f2510,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/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
% 0.10/0.38 % DateTime : Sun Sep 27 17:34:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.70/1.35 % (3634861)Detected formulas, will run a generic FOF schedule.
% 2.70/1.35 % (3634872)dis-21_1_sil=8000:lcm=predicate:random_seed=3896636531: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)
% 2.70/1.35 % (3634872)First to succeed.
% 2.70/1.35 % (3634872)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3634861"
% 2.70/1.35 % (3634870)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1118132656:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.35 % (3634867)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=3166633031:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.35 % (3634868)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=2715496832:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.35 % (3634869)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3974623663:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.35 % (3634866)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=1326977553:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.35 % (3634871)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2814958396:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.35 % (3634869)Also succeeded, but the first one will report.
% 2.70/1.35 % (3634870)Also succeeded, but the first one will report.
% 2.70/1.35 % (3634871)Also succeeded, but the first one will report.
% 2.70/1.35 % (3634872)Refutation found. Thanks to Tanya!
% 2.70/1.35 % SZS status Theorem for theBenchmark
% 2.70/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.35 % (3634872)------------------------------
% 2.70/1.35 % (3634872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.35 % (3634872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.35 % (3634872)CaDiCaL version: 2.1.3
% 2.70/1.35 % (3634872)Termination reason: Refutation
% 2.70/1.35 % (3634872)Time elapsed: 0.025 s
% 2.70/1.35 % (3634872)Peak memory usage: 89 MB
% 2.70/1.35 % (3634872)Instructions burned: 93 (million)
% 2.70/1.35 % (3634872)------------------------------
% 2.70/1.35 % (3634872)------------------------------
% 2.70/1.35 % (3634861)Success in time 0.296 s
% 2.70/1.35 % Vampire exiting
%------------------------------------------------------------------------------