%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT015-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 67 ( 25 unt; 6 def)
% Number of atoms : 214 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 303 ( 156 ~; 141 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ complexity(X2,X6,X3)
| ~ organization(X2,X3)
| ~ class(X0,X4,X1)
| ~ class(X2,X4,X3)
| ~ complexity(X0,X5,X1)
| ~ organization(X0,X1)
| ~ inertia(X0,X7,X1)
| ~ inertia(X2,X8,X3)
| ~ greater(X6,X5)
| greater(X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_FOL_2) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ reorganization_type(X2,X6,X1)
| ~ organization(X2,X1)
| ~ organization(X2,X3)
| ~ class(X0,X4,X1)
| ~ class(X2,X4,X1)
| ~ reorganization(X0,X1,X5)
| ~ reorganization(X2,X1,X3)
| ~ reorganization_type(X0,X6,X1)
| ~ organization(X0,X1)
| ~ inertia(X0,X7,X1)
| ~ inertia(X2,X8,X1)
| ~ greater(X8,X7)
| greater(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_FOL_3) ).
fof(f4,negated_conjecture,
organization(sk2,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_4) ).
fof(f5,negated_conjecture,
organization(sk3,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_5) ).
fof(f6,negated_conjecture,
organization(sk3,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_6) ).
fof(f7,negated_conjecture,
class(sk2,sk5,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_7) ).
fof(f8,negated_conjecture,
class(sk3,sk5,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_8) ).
fof(f9,negated_conjecture,
reorganization(sk2,sk8,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_9) ).
fof(f10,negated_conjecture,
reorganization(sk3,sk8,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_10) ).
fof(f11,negated_conjecture,
reorganization_type(sk2,sk4,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_11) ).
fof(f12,negated_conjecture,
reorganization_type(sk3,sk4,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_12) ).
fof(f13,negated_conjecture,
complexity(sk2,sk6,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_13) ).
fof(f14,negated_conjecture,
complexity(sk3,sk7,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_14) ).
fof(f15,negated_conjecture,
greater(sk7,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_15) ).
fof(f16,negated_conjecture,
~ greater(sk10,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL_16) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ organization(sk3,sk8)
| ~ class(X0,X1,X2)
| ~ class(sk3,X1,sk8)
| ~ complexity(X0,X3,X2)
| ~ organization(X0,X2)
| ~ inertia(X0,X4,X2)
| ~ inertia(sk3,X5,sk8)
| ~ greater(sk7,X3)
| greater(X5,X4) ),
inference(resolution,[],[f2,f14]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ complexity(X0,X3,X2)
| ~ class(sk3,X1,sk8)
| ~ class(X0,X1,X2)
| ~ organization(X0,X2)
| ~ inertia(X0,X4,X2)
| ~ inertia(sk3,X5,sk8)
| ~ greater(sk7,X3)
| greater(X5,X4) ),
inference(forward_subsumption_resolution,[],[f18,f5]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ organization(sk3,sk8)
| ~ organization(sk3,X0)
| ~ class(X1,X2,sk8)
| ~ class(sk3,X2,sk8)
| ~ reorganization(X1,sk8,X3)
| ~ reorganization(sk3,sk8,X0)
| ~ reorganization_type(X1,sk4,sk8)
| ~ organization(X1,sk8)
| ~ inertia(X1,X4,sk8)
| ~ inertia(sk3,X5,sk8)
| ~ greater(X5,X4)
| greater(X0,X3) ),
inference(resolution,[],[f3,f12]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ reorganization_type(X1,sk4,sk8)
| ~ class(X1,X2,sk8)
| ~ class(sk3,X2,sk8)
| ~ reorganization(X1,sk8,X3)
| ~ reorganization(sk3,sk8,X0)
| ~ organization(sk3,X0)
| ~ organization(X1,sk8)
| ~ inertia(X1,X4,sk8)
| ~ inertia(sk3,X5,sk8)
| ~ greater(X5,X4)
| greater(X0,X3) ),
inference(forward_subsumption_resolution,[],[f22,f5]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ class(sk3,X0,sk8)
| ~ class(sk2,X0,sk8)
| ~ organization(sk2,sk8)
| ~ inertia(sk2,X1,sk8)
| ~ inertia(sk3,X2,sk8)
| ~ greater(sk7,sk6)
| greater(X2,X1) ),
inference(resolution,[],[f19,f13]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ class(sk3,X0,sk8)
| ~ class(sk2,X0,sk8)
| ~ inertia(sk2,X1,sk8)
| ~ inertia(sk3,X2,sk8)
| ~ greater(sk7,sk6)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f25,f4]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ class(sk3,X0,sk8)
| ~ class(sk2,X0,sk8)
| ~ inertia(sk2,X1,sk8)
| ~ inertia(sk3,X2,sk8)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f29,f15]) ).
fof(f43,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(f44,plain,
( ! [X2,X1] :
( ~ inertia(sk3,X2,sk8)
| ~ inertia(sk2,X1,sk8)
| greater(X2,X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f46,definition,
( spl0_5
<=> ! [X0] :
( ~ class(sk3,X0,sk8)
| ~ class(sk2,X0,sk8) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f47,plain,
( ! [X0] :
( ~ class(sk3,X0,sk8)
| ~ class(sk2,X0,sk8) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f48,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f41,f46,f43]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4] :
( ~ class(sk2,X0,sk8)
| ~ class(sk3,X0,sk8)
| ~ reorganization(sk2,sk8,X1)
| ~ reorganization(sk3,sk8,X2)
| ~ organization(sk3,X2)
| ~ organization(sk2,sk8)
| ~ inertia(sk2,X3,sk8)
| ~ inertia(sk3,X4,sk8)
| ~ greater(X4,X3)
| greater(X2,X1) ),
inference(resolution,[],[f23,f11]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4] :
( ~ class(sk2,X0,sk8)
| ~ class(sk3,X0,sk8)
| ~ reorganization(sk2,sk8,X1)
| ~ reorganization(sk3,sk8,X2)
| ~ organization(sk3,X2)
| ~ inertia(sk2,X3,sk8)
| ~ inertia(sk3,X4,sk8)
| ~ greater(X4,X3)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f73,f4]) ).
fof(f86,definition,
( spl0_13
<=> ! [X4,X3] :
( ~ inertia(sk2,X3,sk8)
| ~ inertia(sk3,X4,sk8)
| ~ greater(X4,X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f87,plain,
( ! [X3,X4] :
( ~ inertia(sk2,X3,sk8)
| ~ inertia(sk3,X4,sk8)
| ~ greater(X4,X3) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,definition,
( spl0_14
<=> ! [X2,X1] :
( ~ reorganization(sk2,sk8,X1)
| ~ reorganization(sk3,sk8,X2)
| greater(X2,X1)
| ~ organization(sk3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f90,plain,
( ! [X2,X1] :
( ~ reorganization(sk3,sk8,X2)
| ~ reorganization(sk2,sk8,X1)
| greater(X2,X1)
| ~ organization(sk3,X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( spl0_13
| spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f77,f46,f89,f86]) ).
fof(f113,plain,
( ~ class(sk2,sk5,sk8)
| ~ spl0_5 ),
inference(resolution,[],[f47,f8]) ).
fof(f114,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f113,f7]) ).
fof(f115,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f123,definition,
( spl0_19
<=> ! [X4] : ~ inertia(sk3,X4,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f124,plain,
( ! [X4] : ~ inertia(sk3,X4,sk8)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,definition,
( spl0_20
<=> ! [X3] : ~ inertia(sk2,X3,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f127,plain,
( ! [X3] : ~ inertia(sk2,X3,sk8)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f137,plain,
( ! [X0] :
( ~ reorganization(sk2,sk8,X0)
| greater(sk10,X0)
| ~ organization(sk3,sk10) )
| ~ spl0_14 ),
inference(resolution,[],[f90,f10]) ).
fof(f138,plain,
( ! [X0] :
( ~ reorganization(sk2,sk8,X0)
| greater(sk10,X0) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f137,f6]) ).
fof(f139,plain,
( greater(sk10,sk9)
| ~ spl0_14 ),
inference(resolution,[],[f138,f9]) ).
fof(f140,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f139,f16]) ).
fof(f141,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f142,plain,
( ! [X3,X4] :
( ~ inertia(sk2,X3,sk8)
| ~ inertia(sk3,X4,sk8) )
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f87,f44]) ).
fof(f144,plain,
( spl0_19
| spl0_20
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f142,f86,f43,f126,f123]) ).
fof(f145,plain,
( ~ organization(sk3,sk8)
| ~ spl0_19 ),
inference(resolution,[],[f124,f1]) ).
fof(f146,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f145,f5]) ).
fof(f147,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f148,plain,
( ~ organization(sk2,sk8)
| ~ spl0_20 ),
inference(resolution,[],[f127,f1]) ).
fof(f149,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f148,f4]) ).
fof(f150,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f149]) ).
cnf(s2,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f48]) ).
cnf(s6,plain,
( spl0_5
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f91]) ).
cnf(s10,plain,
~ spl0_5,
inference(sat_conversion,[],[f115]) ).
cnf(s12,plain,
~ spl0_14,
inference(sat_conversion,[],[f141]) ).
cnf(s14,plain,
( ~ spl0_4
| ~ spl0_13
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f144]) ).
cnf(s15,plain,
~ spl0_19,
inference(sat_conversion,[],[f147]) ).
cnf(s16,plain,
~ spl0_20,
inference(sat_conversion,[],[f150]) ).
cnf(s17,plain,
( ~ spl0_4
| ~ spl0_13 ),
inference(rat,[],[s14,s16,s15]) ).
cnf(s22,plain,
spl0_13,
inference(rat,[],[s6,s12,s10]) ).
cnf(s23,plain,
~ spl0_4,
inference(rat,[],[s17,s22]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s2,s10,s23]) ).
fof(f151,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT015-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:16:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % (3190956)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3190961)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2083458844_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % (3190962)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [5]
% 0.17/0.47 % (3190962)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1099795749:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3190963)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3279951146:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3190964)dis+10_1_sil=32000:sp=arity:random_seed=115609251:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3190965)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1467006048:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % TRYING [6]
% 0.17/0.47 % (3190966)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=217771270:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (3190967)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3291056313:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (3190964) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3190956-3190964"...
% 0.17/0.47 % (3190962) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3190956-3190962"...
% 0.17/0.47 % (3190967) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3190956-3190967"...
% 0.17/0.47 % (3190966) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3190956-3190966"...
% 0.17/0.47 % (3190965) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3190956-3190965"...
% 0.17/0.47 % (3190963) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3190956-3190963"...
% 0.17/0.47 % (3190964)...printing done.
% 0.17/0.47 % TRYING [7]
% 0.17/0.47 % (3190962)...printing done.
% 0.17/0.47 % (3190966)...printing done.
% 0.17/0.47 % (3190964)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3190964)------------------------------
% 0.17/0.47 % (3190964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3190964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3190964)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3190964)Termination reason: Refutation
% 0.17/0.47 % (3190964)Time elapsed: 0.004 s
% 0.17/0.47 % (3190964)Peak memory usage: 12 MB
% 0.17/0.47 % (3190964)Instructions burned: 4 (million)
% 0.17/0.47 % (3190956)Success in time 0.047 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------