%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:02:22 PM UTC 2026
% Result : Theorem 0.17s 1.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-6 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
! [X0,X1,X2,X3] :
( ~ axis_subsumes(X0,X1,X2,X3)
=> subs_verdict(X0,X1,present,X2,X3,present) = conflict ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subs_present_no) ).
fof(f79,axiom,
~ axis_subsumes(v0,v800,v0,v600),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_subs_hint) ).
fof(f80,conjecture,
subs_verdict(v0,v800,present,v0,v600,present) = conflict,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl653) ).
fof(f81,negated_conjecture,
subs_verdict(v0,v800,present,v0,v600,present) != conflict,
inference(negated_conjecture,[status(cth)],[f80]) ).
fof(f82,plain,
conflict != subs_verdict(v0,v800,present,v0,v600,present),
inference(flattening,[],[f81]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( subs_verdict(X0,X1,present,X2,X3,present) = conflict
| axis_subsumes(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f36]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( conflict = subs_verdict(X0,X1,present,X2,X3,present)
| axis_subsumes(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
fof(f236,plain,
~ axis_subsumes(v0,v800,v0,v600),
inference(cnf_transformation,[],[f79]) ).
fof(f237,plain,
conflict != subs_verdict(v0,v800,present,v0,v600,present),
inference(cnf_transformation,[],[f82]) ).
fof(f365,plain,
( conflict != conflict
| axis_subsumes(v0,v800,v0,v600) ),
inference(superposition,[],[f237,f172]) ).
fof(f366,plain,
axis_subsumes(v0,v800,v0,v600),
inference(trivial_inequality_removal,[],[f365]) ).
fof(f367,plain,
$false,
inference(forward_subsumption_resolution,[],[f366,f236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 17:31:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.17/1.40 % (2827641)Detected formulas, will run a generic FOF schedule.
% 0.17/1.40 % (2827649)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4273816436:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.40 % (2827649)Refutation not found, incomplete strategy
% 0.17/1.40 % (2827649)------------------------------
% 0.17/1.40 % (2827649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (2827649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (2827649)CaDiCaL version: 2.1.3
% 0.17/1.40 % (2827649)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.40 % (2827649)Time elapsed: 0.001 s
% 0.17/1.40 % (2827649)Peak memory usage: 87 MB
% 0.17/1.40 % (2827646)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=424816867:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.40 % (2827648)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=687072539:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.40 % (2827650)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3011739919:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.40 % (2827652)dis-21_1_sil=8000:lcm=predicate:random_seed=377114943: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)
% 0.17/1.40 % (2827647)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=415258674:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.40 % (2827651)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1522940732:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.40 % (2827651)First to succeed.
% 0.17/1.40 % (2827651)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2827641"
% 0.17/1.40 % (2827652)Also succeeded, but the first one will report.
% 0.17/1.40 % (2827650)Instruction limit reached!
% 0.17/1.40 % (2827650)------------------------------
% 0.17/1.40 % (2827650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (2827650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (2827650)CaDiCaL version: 2.1.3
% 0.17/1.40 % (2827650)Termination reason: Instruction limit
% 0.17/1.40 % (2827650)Termination phase: Saturation
% 0.17/1.40 % (2827650)Time elapsed: 0.057 s
% 0.17/1.40 % (2827650)Peak memory usage: 87 MB
% 0.17/1.40 % (2827650)Instructions burned: 120 (million)
% 0.17/1.40 % (2827649)------------------------------
% 0.17/1.40 % (2827649)------------------------------
% 0.17/1.40 % (2827660)lrs+10_1_sil=8000:sp=occurrence:random_seed=2552925465:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.17/1.40 % (2827660)Also succeeded, but the first one will report.
% 0.17/1.40 % (2827661)lrs+10_1_sil=32000:urr=on:br=off:random_seed=609438338:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.17/1.40 % (2827661)Refutation not found, incomplete strategy
% 0.17/1.40 % (2827661)------------------------------
% 0.17/1.40 % (2827661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (2827661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (2827661)CaDiCaL version: 2.1.3
% 0.17/1.40 % (2827661)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.40 % (2827661)Time elapsed: 0.001 s
% 0.17/1.40 % (2827661)Peak memory usage: 88 MB
% 0.17/1.40 % (2827661)Instructions burned: 2 (million)
% 0.17/1.40 % (2827651)Refutation found. Thanks to Tanya!
% 0.17/1.40 % SZS status Theorem for theBenchmark
% 0.17/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.40 % (2827651)------------------------------
% 0.17/1.40 % (2827651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (2827651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (2827651)CaDiCaL version: 2.1.3
% 0.17/1.40 % (2827651)Termination reason: Refutation
% 0.17/1.40 % (2827651)Time elapsed: 0.006 s
% 0.17/1.40 % (2827651)Peak memory usage: 89 MB
% 0.17/1.40 % (2827651)Instructions burned: 7 (million)
% 0.17/1.40 % (2827651)------------------------------
% 0.17/1.40 % (2827651)------------------------------
% 0.17/1.40 % (2827641)Success in time 0.442 s
% 0.17/1.40 % Vampire exiting
%------------------------------------------------------------------------------