%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT070+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:04:11 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 16 ~; 16 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 30 ( 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0,X1,X2] :
( ( leq(X1,X0)
& leq(X0,X2) )
=> completion_compatible(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+4.ax',completion_compat) ).
fof(f37,axiom,
! [X0] : leq(ninf,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_inf_lb) ).
fof(f38,axiom,
! [X0] : leq(X0,nsup),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_sup_ub) ).
fof(f40,conjecture,
? [X0] :
( leq(ninf,X0)
& leq(X0,nsup)
& completion_compatible(X0,ninf,nsup) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_sound_compatible) ).
fof(f41,negated_conjecture,
~ ? [X0] :
( leq(ninf,X0)
& leq(X0,nsup)
& completion_compatible(X0,ninf,nsup) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f69,plain,
! [X0,X1,X2] :
( completion_compatible(X0,X1,X2)
| ~ leq(X1,X0)
| ~ leq(X0,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f70,plain,
! [X0,X1,X2] :
( completion_compatible(X0,X1,X2)
| ~ leq(X1,X0)
| ~ leq(X0,X2) ),
inference(flattening,[],[f69]) ).
fof(f76,plain,
! [X0] :
( ~ leq(ninf,X0)
| ~ leq(X0,nsup)
| ~ completion_compatible(X0,ninf,nsup) ),
inference(ennf_transformation,[],[f41]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ leq(X0,X2)
| ~ leq(X1,X0)
| completion_compatible(X0,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f117,plain,
! [X0] : leq(ninf,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f118,plain,
! [X0] : leq(X0,nsup),
inference(cnf_transformation,[],[f38]) ).
fof(f120,plain,
! [X0] :
( ~ completion_compatible(X0,ninf,nsup)
| ~ leq(X0,nsup)
| ~ leq(ninf,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ completion_compatible(X0,X1,X2)
| leq(X1,X0)
| leq(X0,X2) ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f158,plain,
! [X0] : ~ leq(ninf,X0),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f159,plain,
! [X0] : ~ leq(X0,nsup),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f160,plain,
! [X0] :
( completion_compatible(X0,ninf,nsup)
| leq(X0,nsup)
| leq(ninf,X0) ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f203,plain,
! [X0] :
( completion_compatible(X0,ninf,nsup)
| leq(X0,nsup) ),
inference(backward_subsumption_resolution,[],[f160,f158]) ).
fof(f204,plain,
! [X0] : completion_compatible(X0,ninf,nsup),
inference(backward_subsumption_resolution,[],[f203,f159]) ).
fof(f245,plain,
! [X0] :
( leq(ninf,X0)
| leq(X0,nsup) ),
inference(resolution,[],[f154,f204]) ).
fof(f246,plain,
! [X0] : leq(X0,nsup),
inference(forward_subsumption_resolution,[],[f245,f158]) ).
fof(f247,plain,
$false,
inference(forward_subsumption_resolution,[],[f246,f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT070+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 17:35:26 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.47 % (811618)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (811628)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2640286826:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (811627)% WARNING: option uhcvi not known.
% 0.17/0.47 % (811626)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=129110001_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (811629)dis+10_1_sil=32000:sp=arity:random_seed=390401446:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (811627)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2792971533:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (811630)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2811333063:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % Detected minimum model sizes of [3]
% 0.17/0.47 % Detected maximum model sizes of [max]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % (811629) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-811618-811629"...
% 0.17/0.47 % (811631)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4217736512:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (811627) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-811618-811627"...
% 0.17/0.47 % (811635)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3823299740:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (811629)...printing done.
% 0.17/0.47 % (811627)...printing done.
% 0.17/0.47 % (811627)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (811627)------------------------------
% 0.17/0.47 % (811627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (811627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (811627)CaDiCaL version: 2.1.3
% 0.17/0.47 % (811627)Termination reason: Refutation
% 0.17/0.47 % (811627)Time elapsed: 0.004 s
% 0.17/0.47 % (811627)Peak memory usage: 12 MB
% 0.17/0.47 % (811627)Instructions burned: 4 (million)
% 0.17/0.47 % (811618)Success in time 0.037 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------