%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT041-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:02:11 PM UTC 2026
% Result : Unsatisfiable 2.33s 0.94s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 12 unt; 2 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ number_of_routines(X0,X1,high)
| ~ number_of_routines(X0,X1,low) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_not_high_and_low_1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ founding_time(X0,X1)
| ~ efficient_producer(X0)
| ~ organisation_at_time(X0,X1)
| has_elaborated_routines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a14_2) ).
fof(f3,axiom,
! [X0,X1] :
( number_of_routines(X0,X1,low)
| ~ first_mover(X0)
| ~ founding_time(X0,X1)
| ~ organisation_at_time(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a15_3) ).
fof(f4,axiom,
organisation_at_time(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16_4) ).
fof(f5,axiom,
founding_time(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16_5) ).
fof(f6,axiom,
number_of_routines(sk1,sk2,high),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16_6) ).
fof(f7,axiom,
~ has_elaborated_routines(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16_7) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( ~ organisation_at_time(X0,X1)
| first_mover(X0)
| efficient_producer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t10_8) ).
fof(f9,plain,
( first_mover(sk1)
| efficient_producer(sk1) ),
inference(resolution,[],[f4,f8]) ).
fof(f11,definition,
( spl0_1
<=> efficient_producer(sk1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f15,definition,
( spl0_2
<=> first_mover(sk1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( first_mover(sk1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f15,f11]) ).
fof(f19,plain,
~ number_of_routines(sk1,sk2,low),
inference(resolution,[],[f1,f6]) ).
fof(f20,plain,
( ~ efficient_producer(sk1)
| ~ organisation_at_time(sk1,sk2)
| has_elaborated_routines(sk1,sk2) ),
inference(resolution,[],[f2,f5]) ).
fof(f21,plain,
( ~ efficient_producer(sk1)
| has_elaborated_routines(sk1,sk2) ),
inference(forward_subsumption_resolution,[],[f20,f4]) ).
fof(f22,plain,
~ efficient_producer(sk1),
inference(forward_subsumption_resolution,[],[f21,f7]) ).
fof(f23,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f22,f11]) ).
fof(f24,plain,
( ~ first_mover(sk1)
| ~ founding_time(sk1,sk2)
| ~ organisation_at_time(sk1,sk2) ),
inference(resolution,[],[f19,f3]) ).
fof(f25,plain,
( ~ founding_time(sk1,sk2)
| ~ organisation_at_time(sk1,sk2)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f24,f17]) ).
fof(f26,plain,
( ~ organisation_at_time(sk1,sk2)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f25,f5]) ).
fof(f27,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f26,f4]) ).
fof(f28,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f27]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f23]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f28]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f29,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT041-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 27 17:25:34 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 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
% 2.33/0.94 % (2610366)Input is clausal, will run a generic CNF schedule.
% 2.33/0.94 % (2610375)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=590705364:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.33/0.94 % (2610373)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3326020147:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.33/0.94 % (2610376)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1256937473:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.33/0.94 % (2610372)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=534383467:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.33/0.94 % (2610377)dis-21_1_sil=8000:lcm=predicate:random_seed=650587184:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.33/0.94 % (2610371)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=1089326158:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.33/0.94 % (2610374)lrs+10_1_sil=8000:sp=occurrence:random_seed=2628791973:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.33/0.94 % (2610375)Also succeeded, but the first one will report.
% 2.33/0.94 % (2610376)Also succeeded, but the first one will report.
% 2.33/0.94 % (2610377)Also succeeded, but the first one will report.
% 2.33/0.94 % (2610374)First to succeed.
% 2.33/0.94 % (2610374)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2610366"
% 2.33/0.94 % (2610374)Refutation found. Thanks to Tanya!
% 2.33/0.94 % SZS status Unsatisfiable for theBenchmark
% 2.33/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.94 % (2610374)------------------------------
% 2.33/0.94 % (2610374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.94 % (2610374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.94 % (2610374)CaDiCaL version: 2.1.3
% 2.33/0.94 % (2610374)Termination reason: Refutation
% 2.33/0.94 % (2610374)Time elapsed: 0.001 s
% 2.33/0.94 % (2610374)Peak memory usage: 89 MB
% 2.33/0.94 % (2610374)Instructions burned: 1 (million)
% 2.33/0.94 % (2610374)------------------------------
% 2.33/0.94 % (2610374)------------------------------
% 2.33/0.94 % (2610366)Success in time 0.299 s
% 2.33/0.94 % Vampire exiting
%------------------------------------------------------------------------------