%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:04:31 PM UTC 2026
% Result : Theorem 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 35 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 8 |; 4 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( less(X0,X1)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).
fof(f31,axiom,
! [X0,X1,X2] :
( wf(lt,X0,X1,X2)
<=> ( leq(X1,X0)
& leq(X0,X2)
& X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+8.ax',wf_lt) ).
fof(f57,axiom,
less(v0,v600),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v600) ).
fof(f58,axiom,
less(v600,v1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v1200) ).
fof(f59,axiom,
( v0 != v600
& v0 != v1200
& v600 != v1200 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
fof(f60,conjecture,
wf(lt,v600,v0,v1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl613) ).
fof(f61,negated_conjecture,
~ wf(lt,v600,v0,v1200),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f62,plain,
~ wf(lt,v600,v0,v1200),
inference(flattening,[],[f61]) ).
fof(f75,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f101,plain,
! [X0,X1] :
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f130,plain,
! [X2,X0,X1] :
( wf(lt,X0,X1,X2)
| ~ leq(X0,X2)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f151,plain,
less(v0,v600),
inference(cnf_transformation,[],[f57]) ).
fof(f152,plain,
less(v600,v1200),
inference(cnf_transformation,[],[f58]) ).
fof(f155,plain,
v0 != v600,
inference(cnf_transformation,[],[f59]) ).
fof(f156,plain,
~ wf(lt,v600,v0,v1200),
inference(cnf_transformation,[],[f62]) ).
fof(f208,plain,
leq(v0,v600),
inference(resolution,[],[f101,f151]) ).
fof(f209,plain,
leq(v600,v1200),
inference(resolution,[],[f101,f152]) ).
fof(f309,plain,
( ~ leq(v600,v1200)
| ~ leq(v0,v600)
| v0 = v600 ),
inference(resolution,[],[f130,f156]) ).
fof(f311,plain,
( ~ leq(v0,v600)
| v0 = v600 ),
inference(forward_subsumption_resolution,[],[f309,f209]) ).
fof(f312,plain,
v0 = v600,
inference(forward_subsumption_resolution,[],[f311,f208]) ).
fof(f313,plain,
$false,
inference(forward_subsumption_resolution,[],[f312,f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n014.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 17:36:16 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.46 % (1050542)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (1050551)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2195091135:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.46 % (1050548)% WARNING: option uhcvi not known.
% 0.13/0.46 % (1050551) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1050542-1050551"...
% 0.13/0.46 % (1050551)...printing done.
% 0.13/0.46 % (1050551)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Theorem for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46 % (1050551)------------------------------
% 0.13/0.46 % (1050551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (1050551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (1050551)CaDiCaL version: 2.1.3
% 0.13/0.46 % (1050551)Termination reason: Refutation
% 0.13/0.46 % (1050551)Time elapsed: 0.003 s
% 0.13/0.46 % (1050551)Peak memory usage: 12 MB
% 0.13/0.46 % (1050551)Instructions burned: 8 (million)
% 0.13/0.46 % (1050542)Success in time 0.034 s
% 0.13/0.46 % Vampire exiting
%------------------------------------------------------------------------------