%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT011-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:01:59 PM UTC 2026
% Result : Unsatisfiable 3.51s 1.38s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 65 ( 18 unt; 4 def)
% Number of atoms : 184 ( 8 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 242 ( 123 ~; 115 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_20) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_22) ).
fof(f4,axiom,
! [X0,X1] :
( class(X0,sk2(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp9_23) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4] :
( ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1)
| ~ class(X0,X3,X1)
| ~ class(X0,X4,X2)
| X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp10_24) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ size(X2,X6,X3)
| ~ organization(X2,X3)
| ~ class(X0,X4,X1)
| ~ class(X2,X4,X3)
| ~ size(X0,X5,X1)
| ~ organization(X0,X1)
| ~ inertia(X0,X7,X1)
| ~ inertia(X2,X8,X3)
| ~ greater(X6,X5)
| greater(X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL_25) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1)
| ~ inertia(X0,X3,X1)
| ~ inertia(X0,X4,X2)
| ~ greater(X2,X1)
| greater(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_26) ).
fof(f8,negated_conjecture,
organization(sk3,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_27) ).
fof(f9,negated_conjecture,
organization(sk3,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_28) ).
fof(f10,negated_conjecture,
reorganization_free(sk3,sk6,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_29) ).
fof(f11,negated_conjecture,
size(sk3,sk4,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_30) ).
fof(f12,negated_conjecture,
size(sk3,sk5,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_31) ).
fof(f13,negated_conjecture,
greater(sk7,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_32) ).
fof(f14,negated_conjecture,
greater(sk4,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_33) ).
fof(f18,plain,
! [X0,X1] :
( ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| ~ class(sk3,X0,sk6)
| ~ class(sk3,X1,sk7)
| X0 = X1 ),
inference(resolution,[],[f5,f10]) ).
fof(f19,plain,
! [X0,X1] :
( ~ organization(sk3,sk6)
| ~ class(sk3,X0,sk6)
| ~ class(sk3,X1,sk7)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f18,f9]) ).
fof(f20,plain,
! [X0,X1] :
( ~ class(sk3,X1,sk7)
| ~ class(sk3,X0,sk6)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f19,f8]) ).
fof(f21,plain,
! [X0] :
( ~ class(sk3,X0,sk6)
| sk2(sk7,sk3) = X0
| ~ organization(sk3,sk7) ),
inference(resolution,[],[f20,f4]) ).
fof(f22,plain,
! [X0] :
( ~ class(sk3,X0,sk6)
| sk2(sk7,sk3) = X0 ),
inference(forward_subsumption_resolution,[],[f21,f9]) ).
fof(f23,plain,
! [X0,X1] :
( ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| ~ inertia(sk3,X0,sk6)
| ~ inertia(sk3,X1,sk7)
| ~ greater(sk7,sk6)
| greater(X1,X0) ),
inference(resolution,[],[f7,f10]) ).
fof(f24,plain,
! [X0,X1] :
( ~ organization(sk3,sk6)
| ~ inertia(sk3,X0,sk6)
| ~ inertia(sk3,X1,sk7)
| ~ greater(sk7,sk6)
| greater(X1,X0) ),
inference(forward_subsumption_resolution,[],[f23,f9]) ).
fof(f25,plain,
! [X0,X1] :
( ~ inertia(sk3,X0,sk6)
| ~ inertia(sk3,X1,sk7)
| ~ greater(sk7,sk6)
| greater(X1,X0) ),
inference(forward_subsumption_resolution,[],[f24,f8]) ).
fof(f26,plain,
! [X0,X1] :
( ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6)
| greater(X1,X0) ),
inference(forward_subsumption_resolution,[],[f25,f13]) ).
fof(f27,plain,
( sk2(sk7,sk3) = sk2(sk6,sk3)
| ~ organization(sk3,sk6) ),
inference(resolution,[],[f22,f4]) ).
fof(f28,plain,
sk2(sk7,sk3) = sk2(sk6,sk3),
inference(forward_subsumption_resolution,[],[f27,f8]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ organization(sk3,sk6)
| ~ class(X0,X1,X2)
| ~ class(sk3,X1,sk6)
| ~ size(X0,X3,X2)
| ~ organization(X0,X2)
| ~ inertia(X0,X4,X2)
| ~ inertia(sk3,X5,sk6)
| ~ greater(sk4,X3)
| greater(X5,X4) ),
inference(resolution,[],[f6,f11]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ size(X0,X3,X2)
| ~ class(sk3,X1,sk6)
| ~ class(X0,X1,X2)
| ~ organization(X0,X2)
| ~ inertia(X0,X4,X2)
| ~ inertia(sk3,X5,sk6)
| ~ greater(sk4,X3)
| greater(X5,X4) ),
inference(forward_subsumption_resolution,[],[f29,f8]) ).
fof(f33,plain,
( class(sk3,sk2(sk6,sk3),sk7)
| ~ organization(sk3,sk7) ),
inference(superposition,[],[f4,f28]) ).
fof(f34,plain,
class(sk3,sk2(sk6,sk3),sk7),
inference(forward_subsumption_resolution,[],[f33,f9]) ).
fof(f35,plain,
! [X0] :
( ~ inertia(sk3,X0,sk6)
| greater(sk1(sk7,sk3),X0)
| ~ organization(sk3,sk7) ),
inference(resolution,[],[f26,f1]) ).
fof(f36,plain,
! [X0] :
( greater(sk1(sk7,sk3),X0)
| ~ inertia(sk3,X0,sk6) ),
inference(forward_subsumption_resolution,[],[f35,f9]) ).
fof(f42,plain,
! [X0] :
( ~ greater(X0,sk1(sk7,sk3))
| ~ inertia(sk3,X0,sk6) ),
inference(resolution,[],[f36,f3]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ class(sk3,X0,sk6)
| ~ class(sk3,X0,sk7)
| ~ organization(sk3,sk7)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X2,sk6)
| ~ greater(sk4,sk5)
| greater(X2,X1) ),
inference(resolution,[],[f32,f12]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ class(sk3,X0,sk6)
| ~ class(sk3,X0,sk7)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X2,sk6)
| ~ greater(sk4,sk5)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f44,f9]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ class(sk3,X0,sk6)
| ~ class(sk3,X0,sk7)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X2,sk6)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f46,f14]) ).
fof(f49,definition,
( spl0_1
<=> ! [X2,X1] :
( ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X2,sk6)
| greater(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f50,plain,
( ! [X2,X1] :
( ~ inertia(sk3,X2,sk6)
| ~ inertia(sk3,X1,sk7)
| greater(X2,X1) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,definition,
( spl0_2
<=> ! [X0] :
( ~ class(sk3,X0,sk6)
| ~ class(sk3,X0,sk7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f53,plain,
( ! [X0] :
( ~ class(sk3,X0,sk7)
| ~ class(sk3,X0,sk6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f47,f52,f49]) ).
fof(f55,plain,
( ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ spl0_2 ),
inference(resolution,[],[f53,f34]) ).
fof(f59,plain,
( ~ organization(sk3,sk6)
| ~ spl0_2 ),
inference(resolution,[],[f55,f4]) ).
fof(f60,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f59,f8]) ).
fof(f61,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f62,plain,
( ! [X0] :
( ~ inertia(sk3,X0,sk7)
| greater(sk1(sk6,sk3),X0)
| ~ organization(sk3,sk6) )
| ~ spl0_1 ),
inference(resolution,[],[f50,f1]) ).
fof(f63,plain,
( ! [X0] :
( greater(sk1(sk6,sk3),X0)
| ~ inertia(sk3,X0,sk7) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f62,f8]) ).
fof(f68,plain,
( ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| ~ spl0_1 ),
inference(resolution,[],[f63,f42]) ).
fof(f70,definition,
( spl0_3
<=> inertia(sk3,sk1(sk6,sk3),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f72,plain,
( ~ inertia(sk3,sk1(sk6,sk3),sk6)
| spl0_3 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl0_4
<=> inertia(sk3,sk1(sk7,sk3),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f76,plain,
( ~ inertia(sk3,sk1(sk7,sk3),sk7)
| spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f68,f49,f74,f70]) ).
fof(f78,plain,
( ~ organization(sk3,sk6)
| spl0_3 ),
inference(resolution,[],[f72,f1]) ).
fof(f79,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f78,f8]) ).
fof(f80,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f82,plain,
( ~ organization(sk3,sk7)
| spl0_4 ),
inference(resolution,[],[f76,f1]) ).
fof(f83,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f82,f9]) ).
fof(f84,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f83]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f54]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f61]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f77]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f80]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f84]) ).
cnf(s6,plain,
~ spl0_1,
inference(rat,[],[s3,s5,s4]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s2,s6]) ).
fof(f85,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT011-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n004.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
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 17:16:07 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.51/1.38 % (3767214)Input is clausal, will run a generic CNF schedule.
% 3.51/1.38 % (3767221)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3378255789:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.38 % (3767220)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=194311257:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.38 % (3767219)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=498949415:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.38 % (3767224)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3961498829:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.38 % (3767222)lrs+10_1_sil=8000:sp=occurrence:random_seed=1625976007:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.38 % (3767225)dis-21_1_sil=8000:lcm=predicate:random_seed=1891985580: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)
% 3.51/1.38 % (3767223)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=953785164:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.38 % (3767223)Refutation not found, incomplete strategy
% 3.51/1.38 % (3767223)------------------------------
% 3.51/1.38 % (3767223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.38 % (3767223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.38 % (3767223)CaDiCaL version: 2.1.3
% 3.51/1.38 % (3767223)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.38 % (3767223)Time elapsed: 0.001 s
% 3.51/1.38 % (3767223)Peak memory usage: 87 MB
% 3.51/1.38 % (3767222)First to succeed.
% 3.51/1.38 % (3767225)Refutation not found, incomplete strategy
% 3.51/1.38 % (3767225)------------------------------
% 3.51/1.38 % (3767225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.38 % (3767225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.38 % (3767225)CaDiCaL version: 2.1.3
% 3.51/1.38 % (3767225)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.38 % (3767225)Time elapsed: 0.004 s
% 3.51/1.38 % (3767225)Peak memory usage: 88 MB
% 3.51/1.38 % (3767225)Instructions burned: 5 (million)
% 3.51/1.38 % (3767222)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3767214"
% 3.51/1.38 % (3767224)Also succeeded, but the first one will report.
% 3.51/1.38 % (3767225)------------------------------
% 3.51/1.38 % (3767225)------------------------------
% 3.51/1.38 % (3767223)------------------------------
% 3.51/1.38 % (3767223)------------------------------
% 3.51/1.38 % (3767222)Refutation found. Thanks to Tanya!
% 3.51/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.51/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.38 % (3767222)------------------------------
% 3.51/1.38 % (3767222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.38 % (3767222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.38 % (3767222)CaDiCaL version: 2.1.3
% 3.51/1.38 % (3767222)Termination reason: Refutation
% 3.51/1.38 % (3767222)Time elapsed: 0.004 s
% 3.51/1.38 % (3767222)Peak memory usage: 89 MB
% 3.51/1.38 % (3767222)Instructions burned: 4 (million)
% 3.51/1.38 % (3767222)------------------------------
% 3.51/1.38 % (3767222)------------------------------
% 3.51/1.38 % (3767214)Success in time 0.432 s
% 3.51/1.38 % Vampire exiting
%------------------------------------------------------------------------------