%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT016-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:02:30 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 61 ( 24 unt; 5 def)
% Number of atoms : 205 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 285 ( 141 ~; 139 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ complexity(X0,X5,X1)
| ~ complexity(X2,X6,X3)
| ~ class(X0,X4,X1)
| ~ class(X2,X4,X3)
| ~ organization(X0,X1)
| ~ organization(X2,X3)
| ~ inertia(X0,X7,X1)
| ~ inertia(X2,X8,X3)
| ~ greater(X6,X5)
| greater(X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_FOL_2) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ reorganization_type(X0,X6,X1)
| ~ reorganization_type(X2,X6,X1)
| organization(X2,X3)
| ~ class(X0,X4,X1)
| ~ class(X2,X4,X1)
| ~ reorganization(X0,X1,X5)
| ~ reorganization(X2,X1,X3)
| ~ organization(X0,X1)
| ~ organization(X2,X1)
| ~ inertia(X0,X7,X1)
| ~ inertia(X2,X8,X1)
| ~ greater(X8,X7)
| greater(X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a14_FOL_3) ).
fof(f4,negated_conjecture,
organization(sk2,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_4) ).
fof(f5,negated_conjecture,
organization(sk3,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_5) ).
fof(f6,negated_conjecture,
~ organization(sk3,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_6) ).
fof(f7,negated_conjecture,
class(sk2,sk5,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_7) ).
fof(f8,negated_conjecture,
class(sk3,sk5,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_8) ).
fof(f9,negated_conjecture,
reorganization(sk2,sk8,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_9) ).
fof(f10,negated_conjecture,
reorganization(sk3,sk8,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_10) ).
fof(f11,negated_conjecture,
reorganization_type(sk2,sk4,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_11) ).
fof(f12,negated_conjecture,
reorganization_type(sk3,sk4,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_12) ).
fof(f13,negated_conjecture,
complexity(sk2,sk6,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_13) ).
fof(f14,negated_conjecture,
complexity(sk3,sk7,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_14) ).
fof(f15,negated_conjecture,
greater(sk7,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_15) ).
fof(f16,negated_conjecture,
~ greater(sk9,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_FOL_16) ).
fof(f20,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ complexity(X0,X1,X2)
| ~ class(X0,X3,X2)
| ~ class(sk3,X3,sk8)
| ~ organization(X0,X2)
| ~ organization(sk3,sk8)
| ~ inertia(X0,X4,X2)
| ~ inertia(sk3,X5,sk8)
| ~ greater(sk7,X1)
| greater(X5,X4) ),
inference(resolution,[],[f2,f14]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ complexity(X0,X1,X2)
| ~ class(X0,X3,X2)
| ~ class(sk3,X3,sk8)
| ~ organization(X0,X2)
| ~ inertia(X0,X4,X2)
| ~ inertia(sk3,X5,sk8)
| ~ greater(sk7,X1)
| greater(X5,X4) ),
inference(forward_subsumption_resolution,[],[f20,f5]) ).
fof(f28,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ reorganization_type(X0,sk4,sk8)
| organization(sk3,X1)
| ~ class(X0,X2,sk8)
| ~ class(sk3,X2,sk8)
| ~ reorganization(X0,sk8,X3)
| ~ reorganization(sk3,sk8,X1)
| ~ organization(X0,sk8)
| ~ organization(sk3,sk8)
| ~ inertia(X0,X4,sk8)
| ~ inertia(sk3,X5,sk8)
| ~ greater(X5,X4)
| greater(X3,X1) ),
inference(resolution,[],[f3,f12]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ reorganization_type(X0,sk4,sk8)
| organization(sk3,X1)
| ~ class(X0,X2,sk8)
| ~ class(sk3,X2,sk8)
| ~ reorganization(X0,sk8,X3)
| ~ reorganization(sk3,sk8,X1)
| ~ organization(X0,sk8)
| ~ inertia(X0,X4,sk8)
| ~ inertia(sk3,X5,sk8)
| ~ greater(X5,X4)
| greater(X3,X1) ),
inference(forward_subsumption_resolution,[],[f28,f5]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ class(sk2,X0,sk8)
| ~ class(sk3,X0,sk8)
| ~ organization(sk2,sk8)
| ~ inertia(sk2,X1,sk8)
| ~ inertia(sk3,X2,sk8)
| ~ greater(sk7,sk6)
| greater(X2,X1) ),
inference(resolution,[],[f21,f13]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ class(sk2,X0,sk8)
| ~ class(sk3,X0,sk8)
| ~ inertia(sk2,X1,sk8)
| ~ inertia(sk3,X2,sk8)
| ~ greater(sk7,sk6)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f33,f4]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ class(sk2,X0,sk8)
| ~ class(sk3,X0,sk8)
| ~ inertia(sk2,X1,sk8)
| ~ inertia(sk3,X2,sk8)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f37,f15]) ).
fof(f51,definition,
( spl0_4
<=> ! [X2,X1] :
( ~ inertia(sk2,X1,sk8)
| ~ inertia(sk3,X2,sk8)
| greater(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f52,plain,
( ! [X2,X1] :
( ~ inertia(sk2,X1,sk8)
| ~ inertia(sk3,X2,sk8)
| greater(X2,X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,definition,
( spl0_5
<=> ! [X0] :
( ~ class(sk2,X0,sk8)
| ~ class(sk3,X0,sk8) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f55,plain,
( ! [X0] :
( ~ class(sk2,X0,sk8)
| ~ class(sk3,X0,sk8) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f56,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f49,f54,f51]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4] :
( organization(sk3,X0)
| ~ class(sk2,X1,sk8)
| ~ class(sk3,X1,sk8)
| ~ reorganization(sk2,sk8,X2)
| ~ reorganization(sk3,sk8,X0)
| ~ organization(sk2,sk8)
| ~ inertia(sk2,X3,sk8)
| ~ inertia(sk3,X4,sk8)
| ~ greater(X4,X3)
| greater(X2,X0) ),
inference(resolution,[],[f29,f11]) ).
fof(f91,plain,
( ! [X2,X3,X0,X1,X4] :
( organization(sk3,X0)
| ~ class(sk2,X1,sk8)
| ~ class(sk3,X1,sk8)
| ~ reorganization(sk2,sk8,X2)
| ~ reorganization(sk3,sk8,X0)
| ~ organization(sk2,sk8)
| ~ inertia(sk2,X3,sk8)
| ~ inertia(sk3,X4,sk8)
| greater(X2,X0) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f87,f52]) ).
fof(f99,plain,
( ! [X2,X3,X0,X1,X4] :
( organization(sk3,X0)
| ~ class(sk2,X1,sk8)
| ~ class(sk3,X1,sk8)
| ~ reorganization(sk2,sk8,X2)
| ~ reorganization(sk3,sk8,X0)
| ~ inertia(sk2,X3,sk8)
| ~ inertia(sk3,X4,sk8)
| greater(X2,X0) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f91,f4]) ).
fof(f101,definition,
( spl0_13
<=> ! [X4] : ~ inertia(sk3,X4,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f102,plain,
( ! [X4] : ~ inertia(sk3,X4,sk8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,definition,
( spl0_14
<=> ! [X3] : ~ inertia(sk2,X3,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f105,plain,
( ! [X3] : ~ inertia(sk2,X3,sk8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,definition,
( spl0_15
<=> ! [X2,X0] :
( organization(sk3,X0)
| ~ reorganization(sk3,sk8,X0)
| ~ reorganization(sk2,sk8,X2)
| greater(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f108,plain,
( ! [X2,X0] :
( ~ reorganization(sk3,sk8,X0)
| ~ reorganization(sk2,sk8,X2)
| organization(sk3,X0)
| greater(X2,X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( spl0_13
| spl0_14
| spl0_5
| spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f99,f51,f107,f54,f104,f101]) ).
fof(f110,plain,
( ~ class(sk3,sk5,sk8)
| ~ spl0_5 ),
inference(resolution,[],[f55,f7]) ).
fof(f111,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f110,f8]) ).
fof(f112,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f159,plain,
( ! [X0] :
( ~ reorganization(sk3,sk8,X0)
| organization(sk3,X0)
| greater(sk9,X0) )
| ~ spl0_15 ),
inference(resolution,[],[f108,f9]) ).
fof(f167,plain,
( organization(sk3,sk10)
| greater(sk9,sk10)
| ~ spl0_15 ),
inference(resolution,[],[f159,f10]) ).
fof(f168,plain,
( greater(sk9,sk10)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f167,f6]) ).
fof(f169,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f168,f16]) ).
fof(f170,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f171,plain,
( ~ organization(sk2,sk8)
| ~ spl0_14 ),
inference(resolution,[],[f105,f1]) ).
fof(f172,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f171,f4]) ).
fof(f173,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f174,plain,
( ~ organization(sk3,sk8)
| ~ spl0_13 ),
inference(resolution,[],[f102,f1]) ).
fof(f175,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f174,f5]) ).
fof(f176,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f175]) ).
cnf(s2,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f56]) ).
cnf(s6,plain,
( ~ spl0_4
| spl0_5
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f109]) ).
cnf(s7,plain,
~ spl0_5,
inference(sat_conversion,[],[f112]) ).
cnf(s10,plain,
~ spl0_15,
inference(sat_conversion,[],[f170]) ).
cnf(s11,plain,
~ spl0_14,
inference(sat_conversion,[],[f173]) ).
cnf(s12,plain,
~ spl0_13,
inference(sat_conversion,[],[f176]) ).
cnf(s13,plain,
~ spl0_4,
inference(rat,[],[s6,s10,s11,s12,s7]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s2,s7,s13]) ).
fof(f177,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT016-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n015.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 17:20:01 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.13/0.45 % (1877298)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (1877307)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=595496295:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.45 % (1877307) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1877298-1877307"...
% 0.13/0.45 % (1877304)% WARNING: option uhcvi not known.
% 0.13/0.45 % (1877307)...printing done.
% 0.13/0.45 % (1877307)Refutation found. Thanks to Tanya!
% 0.13/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46 % (1877307)------------------------------
% 0.13/0.46 % (1877307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (1877307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (1877307)CaDiCaL version: 2.1.3
% 0.13/0.46 % (1877307)Termination reason: Refutation
% 0.13/0.46 % (1877307)Time elapsed: 0.003 s
% 0.13/0.46 % (1877307)Peak memory usage: 12 MB
% 0.13/0.46 % (1877307)Instructions burned: 7 (million)
% 0.13/0.46 % (1877298)Success in time 0.027 s
% 0.13/0.46 % Vampire exiting
%------------------------------------------------------------------------------