%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT001-1 : 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 : n007.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 12:01:56 PM UTC 2026
% Result : Unsatisfiable 1.71s 1.21s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of formulae : 162 ( 39 unt; 22 def)
% Number of atoms : 552 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 806 ( 416 ~; 368 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 23 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 204 ( 0 sgn 204 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( reliability(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_1) ).
fof(f2,axiom,
! [X0,X1] :
( accountability(X0,sk2(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_2) ).
fof(f3,axiom,
! [X0,X1] :
( reproducibility(X0,sk3(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_3) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( greater(X9,X8)
| ~ organization(X2,X3)
| ~ reliability(X0,X4,X1)
| ~ reliability(X2,X5,X3)
| ~ accountability(X0,X6,X1)
| ~ accountability(X2,X7,X3)
| ~ survival_chance(X0,X8,X1)
| ~ survival_chance(X2,X9,X3)
| ~ greater(X5,X4)
| ~ greater(X7,X6)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_FOL_4) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( greater(X5,X4)
| ~ organization(X2,X3)
| ~ reliability(X0,X4,X1)
| ~ reliability(X2,X5,X3)
| ~ accountability(X0,X6,X1)
| ~ accountability(X2,X7,X3)
| ~ reproducibility(X0,X8,X1)
| ~ reproducibility(X2,X9,X3)
| ~ greater(X9,X8)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_5) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( greater(X7,X6)
| ~ organization(X2,X3)
| ~ reliability(X0,X4,X1)
| ~ reliability(X2,X5,X3)
| ~ accountability(X0,X6,X1)
| ~ accountability(X2,X7,X3)
| ~ reproducibility(X0,X8,X1)
| ~ reproducibility(X2,X9,X3)
| ~ greater(X9,X8)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_6) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( greater(X5,X4)
| ~ organization(X2,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ reproducibility(X0,X4,X1)
| ~ reproducibility(X2,X5,X3)
| ~ inertia(X0,X6,X1)
| ~ inertia(X2,X7,X3)
| ~ greater(X7,X6)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL_9) ).
fof(f10,negated_conjecture,
organization(sk4,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_10) ).
fof(f11,negated_conjecture,
organization(sk5,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_11) ).
fof(f12,negated_conjecture,
reorganization_free(sk4,sk6,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_12) ).
fof(f13,negated_conjecture,
reorganization_free(sk5,sk7,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_13) ).
fof(f14,negated_conjecture,
inertia(sk4,sk8,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_14) ).
fof(f15,negated_conjecture,
inertia(sk5,sk9,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_15) ).
fof(f16,negated_conjecture,
survival_chance(sk4,sk10,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_16) ).
fof(f17,negated_conjecture,
survival_chance(sk5,sk11,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_17) ).
fof(f18,negated_conjecture,
greater(sk9,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_18) ).
fof(f19,negated_conjecture,
~ greater(sk11,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_19) ).
fof(f34,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ survival_chance(X2,sk10,X4)
| ~ survival_chance(X0,sk11,X1)
| ~ reliability(X0,X5,X1)
| ~ accountability(X2,X6,X4)
| ~ accountability(X0,X7,X1)
| ~ organization(X0,X1)
| ~ reliability(X2,X3,X4)
| ~ greater(X5,X3)
| ~ greater(X7,X6)
| ~ organization(X2,X4) ),
inference(resolution,[],[f4,f19]) ).
fof(f43,definition,
( spl0_1
<=> organization(sk5,sk7) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44,plain,
( ~ organization(sk5,sk7)
| spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f49,definition,
( spl0_3
<=> reorganization_free(sk5,sk7,sk7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f50,plain,
( ~ reorganization_free(sk5,sk7,sk7)
| spl0_3 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f56,definition,
( spl0_5
<=> organization(sk4,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f57,plain,
( ~ organization(sk4,sk6)
| spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f62,definition,
( spl0_7
<=> reorganization_free(sk4,sk6,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f63,plain,
( ~ reorganization_free(sk4,sk6,sk6)
| spl0_7 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f82,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f44,f11]) ).
fof(f83,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f84,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f57,f10]) ).
fof(f85,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f86,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f50,f13]) ).
fof(f87,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f88,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f63,f12]) ).
fof(f89,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ survival_chance(X0,sk10,X1)
| ~ reliability(sk5,X2,sk7)
| ~ accountability(X0,X3,X1)
| ~ accountability(sk5,X4,sk7)
| ~ organization(sk5,sk7)
| ~ reliability(X0,X5,X1)
| ~ greater(X2,X5)
| ~ greater(X4,X3)
| ~ organization(X0,X1) ),
inference(resolution,[],[f34,f17]) ).
fof(f95,definition,
( spl0_13
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ survival_chance(X0,sk10,X1)
| ~ organization(X0,X1)
| ~ reliability(X0,X5,X1)
| ~ accountability(sk5,X4,sk7)
| ~ greater(X4,X3)
| ~ accountability(X0,X3,X1)
| ~ reliability(sk5,X2,sk7)
| ~ greater(X2,X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f96,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ survival_chance(X0,sk10,X1)
| ~ organization(X0,X1)
| ~ reliability(X0,X5,X1)
| ~ accountability(sk5,X4,sk7)
| ~ greater(X4,X3)
| ~ accountability(X0,X3,X1)
| ~ reliability(sk5,X2,sk7)
| ~ greater(X2,X5) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f97,plain,
( ~ spl0_1
| spl0_13 ),
inference(avatar_split_clause,[],[f93,f95,f43]) ).
fof(f102,plain,
( ! [X2,X3,X0,X1] :
( ~ organization(sk4,sk6)
| ~ reliability(sk4,X0,sk6)
| ~ accountability(sk5,X1,sk7)
| ~ greater(X1,X2)
| ~ accountability(sk4,X2,sk6)
| ~ reliability(sk5,X3,sk7)
| ~ greater(X3,X0) )
| ~ spl0_13 ),
inference(resolution,[],[f96,f16]) ).
fof(f104,definition,
( spl0_15
<=> ! [X2,X1] :
( ~ accountability(sk5,X1,sk7)
| ~ accountability(sk4,X2,sk6)
| ~ greater(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f105,plain,
( ! [X2,X1] :
( ~ accountability(sk5,X1,sk7)
| ~ accountability(sk4,X2,sk6)
| ~ greater(X1,X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,definition,
( spl0_16
<=> ! [X0,X3] :
( ~ reliability(sk4,X0,sk6)
| ~ reliability(sk5,X3,sk7)
| ~ greater(X3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f108,plain,
( ! [X3,X0] :
( ~ reliability(sk4,X0,sk6)
| ~ reliability(sk5,X3,sk7)
| ~ greater(X3,X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( spl0_15
| spl0_16
| ~ spl0_5
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f102,f95,f56,f107,f104]) ).
fof(f119,definition,
( spl0_18
<=> ! [X0] :
( ~ accountability(sk4,X0,sk6)
| ~ greater(sk2(sk7,sk5),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f120,plain,
( ! [X0] :
( ~ accountability(sk4,X0,sk6)
| ~ greater(sk2(sk7,sk5),X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f125,definition,
( spl0_19
<=> ! [X0] :
( ~ reliability(sk4,X0,sk6)
| ~ greater(sk1(sk7,sk5),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f126,plain,
( ! [X0] :
( ~ reliability(sk4,X0,sk6)
| ~ greater(sk1(sk7,sk5),X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f134,definition,
( spl0_21
<=> greater(sk2(sk7,sk5),sk2(sk6,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f135,plain,
( ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| spl0_21 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f144,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ accountability(X2,sk2(sk6,sk4),X4)
| ~ accountability(X0,sk2(sk7,sk5),X1)
| ~ reliability(X0,X5,X1)
| ~ organization(X0,X1)
| ~ reliability(X2,X3,X4)
| ~ reproducibility(X2,X6,X4)
| ~ reproducibility(X0,X7,X1)
| ~ greater(X7,X6)
| ~ organization(X2,X4) )
| spl0_21 ),
inference(resolution,[],[f135,f6]) ).
fof(f182,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ accountability(X0,sk2(sk6,sk4),X1)
| ~ reliability(sk5,X2,sk7)
| ~ organization(sk5,sk7)
| ~ reliability(X0,X3,X1)
| ~ reproducibility(X0,X4,X1)
| ~ reproducibility(sk5,X5,sk7)
| ~ greater(X5,X4)
| ~ organization(X0,X1)
| ~ organization(sk5,sk7) )
| spl0_21 ),
inference(resolution,[],[f144,f2]) ).
fof(f183,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ accountability(X0,sk2(sk6,sk4),X1)
| ~ reliability(sk5,X2,sk7)
| ~ organization(sk5,sk7)
| ~ reliability(X0,X3,X1)
| ~ reproducibility(X0,X4,X1)
| ~ reproducibility(sk5,X5,sk7)
| ~ greater(X5,X4)
| ~ organization(X0,X1) )
| spl0_21 ),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f186,definition,
( spl0_30
<=> ! [X2] : ~ reliability(sk5,X2,sk7) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f187,plain,
( ! [X2] : ~ reliability(sk5,X2,sk7)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,definition,
( spl0_31
<=> ! [X3,X4,X0,X5,X1] :
( ~ accountability(X0,sk2(sk6,sk4),X1)
| ~ organization(X0,X1)
| ~ reproducibility(sk5,X5,sk7)
| ~ greater(X5,X4)
| ~ reproducibility(X0,X4,X1)
| ~ reliability(X0,X3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f190,plain,
( ! [X3,X0,X1,X4,X5] :
( ~ accountability(X0,sk2(sk6,sk4),X1)
| ~ organization(X0,X1)
| ~ reproducibility(sk5,X5,sk7)
| ~ greater(X5,X4)
| ~ reproducibility(X0,X4,X1)
| ~ reliability(X0,X3,X1) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( ~ spl0_1
| spl0_30
| spl0_31
| spl0_21 ),
inference(avatar_split_clause,[],[f183,f134,f189,f186,f43]) ).
fof(f193,definition,
( spl0_32
<=> ! [X3] : ~ reliability(sk4,X3,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f194,plain,
( ! [X3] : ~ reliability(sk4,X3,sk6)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f210,plain,
( ~ greater(sk1(sk7,sk5),sk1(sk6,sk4))
| ~ organization(sk4,sk6)
| ~ spl0_19 ),
inference(resolution,[],[f126,f1]) ).
fof(f212,definition,
( spl0_34
<=> greater(sk1(sk7,sk5),sk1(sk6,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f213,plain,
( ~ greater(sk1(sk7,sk5),sk1(sk6,sk4))
| spl0_34 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f214,plain,
( ~ spl0_5
| ~ spl0_34
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f210,f125,f212,f56]) ).
fof(f222,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ accountability(X2,X4,X3)
| ~ accountability(X0,X5,X1)
| ~ reliability(X0,sk1(sk7,sk5),X1)
| ~ organization(X0,X1)
| ~ reliability(X2,sk1(sk6,sk4),X3)
| ~ reproducibility(X2,X6,X3)
| ~ reproducibility(X0,X7,X1)
| ~ greater(X7,X6)
| ~ organization(X2,X3) )
| spl0_34 ),
inference(resolution,[],[f213,f5]) ).
fof(f258,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ accountability(X2,X3,X4)
| ~ reliability(X0,sk1(sk7,sk5),X1)
| ~ organization(X0,X1)
| ~ reliability(X2,sk1(sk6,sk4),X4)
| ~ reproducibility(X2,X5,X4)
| ~ reproducibility(X0,X6,X1)
| ~ greater(X6,X5)
| ~ organization(X2,X4)
| ~ organization(X0,X1) )
| spl0_34 ),
inference(resolution,[],[f222,f2]) ).
fof(f261,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ accountability(X2,X3,X4)
| ~ reliability(X0,sk1(sk7,sk5),X1)
| ~ organization(X0,X1)
| ~ reliability(X2,sk1(sk6,sk4),X4)
| ~ reproducibility(X2,X5,X4)
| ~ reproducibility(X0,X6,X1)
| ~ greater(X6,X5)
| ~ organization(X2,X4) )
| spl0_34 ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f275,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ reliability(X0,sk1(sk7,sk5),X1)
| ~ organization(X0,X1)
| ~ reliability(X2,sk1(sk6,sk4),X3)
| ~ reproducibility(X2,X4,X3)
| ~ reproducibility(X0,X5,X1)
| ~ greater(X5,X4)
| ~ organization(X2,X3)
| ~ organization(X2,X3) )
| spl0_34 ),
inference(resolution,[],[f261,f2]) ).
fof(f276,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ reliability(X0,sk1(sk7,sk5),X1)
| ~ reliability(X2,sk1(sk6,sk4),X3)
| ~ organization(X0,X1)
| ~ reproducibility(X2,X4,X3)
| ~ reproducibility(X0,X5,X1)
| ~ greater(X5,X4)
| ~ organization(X2,X3) )
| spl0_34 ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f291,plain,
( ! [X2,X3,X0,X1] :
( ~ reliability(X0,sk1(sk7,sk5),X1)
| ~ organization(X0,X1)
| ~ reproducibility(sk4,X2,sk6)
| ~ reproducibility(X0,X3,X1)
| ~ greater(X3,X2)
| ~ organization(sk4,sk6)
| ~ organization(sk4,sk6) )
| spl0_34 ),
inference(resolution,[],[f276,f1]) ).
fof(f292,plain,
( ! [X2,X3,X0,X1] :
( ~ reliability(X0,sk1(sk7,sk5),X1)
| ~ organization(X0,X1)
| ~ reproducibility(sk4,X2,sk6)
| ~ reproducibility(X0,X3,X1)
| ~ greater(X3,X2)
| ~ organization(sk4,sk6) )
| spl0_34 ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f295,definition,
( spl0_45
<=> ! [X0,X3,X2,X1] :
( ~ reliability(X0,sk1(sk7,sk5),X1)
| ~ greater(X3,X2)
| ~ reproducibility(X0,X3,X1)
| ~ reproducibility(sk4,X2,sk6)
| ~ organization(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f296,plain,
( ! [X2,X3,X0,X1] :
( ~ reliability(X0,sk1(sk7,sk5),X1)
| ~ greater(X3,X2)
| ~ reproducibility(X0,X3,X1)
| ~ reproducibility(sk4,X2,sk6)
| ~ organization(X0,X1) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f297,plain,
( ~ spl0_5
| spl0_45
| spl0_34 ),
inference(avatar_split_clause,[],[f292,f212,f295,f56]) ).
fof(f302,plain,
( ! [X0] :
( ~ accountability(sk4,X0,sk6)
| ~ greater(sk2(sk7,sk5),X0)
| ~ organization(sk5,sk7) )
| ~ spl0_15 ),
inference(resolution,[],[f105,f2]) ).
fof(f305,plain,
( ~ spl0_1
| spl0_18
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f302,f104,f119,f43]) ).
fof(f306,plain,
( ~ organization(sk5,sk7)
| ~ spl0_30 ),
inference(resolution,[],[f187,f1]) ).
fof(f307,plain,
( ~ spl0_1
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f306,f186,f43]) ).
fof(f310,plain,
( ~ organization(sk4,sk6)
| ~ spl0_32 ),
inference(resolution,[],[f194,f1]) ).
fof(f311,plain,
( ~ spl0_5
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f310,f193,f56]) ).
fof(f312,plain,
( ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ organization(sk4,sk6)
| ~ spl0_18 ),
inference(resolution,[],[f120,f2]) ).
fof(f313,plain,
( ~ spl0_5
| ~ spl0_21
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f312,f119,f134,f56]) ).
fof(f326,plain,
( ! [X2,X0,X1] :
( ~ organization(sk4,sk6)
| ~ reproducibility(sk5,X0,sk7)
| ~ greater(X0,X1)
| ~ reproducibility(sk4,X1,sk6)
| ~ reliability(sk4,X2,sk6)
| ~ organization(sk4,sk6) )
| ~ spl0_31 ),
inference(resolution,[],[f190,f2]) ).
fof(f327,plain,
( ! [X2,X0,X1] :
( ~ organization(sk4,sk6)
| ~ reproducibility(sk5,X0,sk7)
| ~ greater(X0,X1)
| ~ reproducibility(sk4,X1,sk6)
| ~ reliability(sk4,X2,sk6) )
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f326]) ).
fof(f329,definition,
( spl0_47
<=> ! [X0,X1] :
( ~ reproducibility(sk5,X0,sk7)
| ~ reproducibility(sk4,X1,sk6)
| ~ greater(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f330,plain,
( ! [X0,X1] :
( ~ reproducibility(sk5,X0,sk7)
| ~ reproducibility(sk4,X1,sk6)
| ~ greater(X0,X1) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( spl0_32
| spl0_47
| ~ spl0_5
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f327,f189,f56,f329,f193]) ).
fof(f338,plain,
( ! [X0] :
( ~ reliability(sk4,X0,sk6)
| ~ greater(sk1(sk7,sk5),X0)
| ~ organization(sk5,sk7) )
| ~ spl0_16 ),
inference(resolution,[],[f108,f1]) ).
fof(f339,plain,
( ~ spl0_1
| spl0_19
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f338,f107,f125,f43]) ).
fof(f355,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| ~ reproducibility(sk5,X0,sk7)
| ~ reproducibility(sk4,X1,sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk5,sk7) )
| ~ spl0_45 ),
inference(resolution,[],[f296,f1]) ).
fof(f356,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| ~ reproducibility(sk5,X0,sk7)
| ~ reproducibility(sk4,X1,sk6)
| ~ organization(sk5,sk7) )
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f355]) ).
fof(f357,plain,
( ~ spl0_1
| spl0_47
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f356,f295,f329,f43]) ).
fof(f359,plain,
( ! [X0] :
( ~ reproducibility(sk5,X0,sk7)
| ~ greater(X0,sk3(sk6,sk4))
| ~ organization(sk4,sk6) )
| ~ spl0_47 ),
inference(resolution,[],[f330,f3]) ).
fof(f361,definition,
( spl0_48
<=> ! [X0] :
( ~ reproducibility(sk5,X0,sk7)
| ~ greater(X0,sk3(sk6,sk4)) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f362,plain,
( ! [X0] :
( ~ reproducibility(sk5,X0,sk7)
| ~ greater(X0,sk3(sk6,sk4)) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( ~ spl0_5
| spl0_48
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f359,f329,f361,f56]) ).
fof(f368,plain,
( ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ organization(sk5,sk7)
| ~ spl0_48 ),
inference(resolution,[],[f362,f3]) ).
fof(f370,definition,
( spl0_50
<=> greater(sk3(sk7,sk5),sk3(sk6,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f371,plain,
( ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| spl0_50 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f372,plain,
( ~ spl0_1
| ~ spl0_50
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f368,f361,f370,f43]) ).
fof(f381,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ inertia(X2,X4,X3)
| ~ inertia(X0,X5,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ reproducibility(X2,sk3(sk6,sk4),X3)
| ~ reproducibility(X0,sk3(sk7,sk5),X1)
| ~ organization(X0,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ greater(X5,X4)
| ~ organization(X2,X3) )
| spl0_50 ),
inference(resolution,[],[f371,f9]) ).
fof(f442,plain,
( ! [X2,X0,X1] :
( ~ inertia(X0,X1,X2)
| ~ reorganization_free(sk5,sk7,sk7)
| ~ reproducibility(X0,sk3(sk6,sk4),X2)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ organization(sk5,sk7)
| ~ reorganization_free(X0,X2,X2)
| ~ greater(sk9,X1)
| ~ organization(X0,X2) )
| spl0_50 ),
inference(resolution,[],[f381,f15]) ).
fof(f446,definition,
( spl0_51
<=> reproducibility(sk5,sk3(sk7,sk5),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f447,plain,
( ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| spl0_51 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,definition,
( spl0_52
<=> ! [X2,X0,X1] :
( ~ inertia(X0,X1,X2)
| ~ organization(X0,X2)
| ~ greater(sk9,X1)
| ~ reorganization_free(X0,X2,X2)
| ~ reproducibility(X0,sk3(sk6,sk4),X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f450,plain,
( ! [X2,X0,X1] :
( ~ inertia(X0,X1,X2)
| ~ organization(X0,X2)
| ~ greater(sk9,X1)
| ~ reorganization_free(X0,X2,X2)
| ~ reproducibility(X0,sk3(sk6,sk4),X2) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
( ~ spl0_1
| ~ spl0_51
| ~ spl0_3
| spl0_52
| spl0_50 ),
inference(avatar_split_clause,[],[f442,f370,f449,f49,f446,f43]) ).
fof(f467,definition,
( spl0_57
<=> reproducibility(sk4,sk3(sk6,sk4),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f468,plain,
( ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| spl0_57 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f473,plain,
( ~ organization(sk5,sk7)
| spl0_51 ),
inference(resolution,[],[f447,f3]) ).
fof(f474,plain,
( ~ spl0_1
| spl0_51 ),
inference(avatar_split_clause,[],[f473,f446,f43]) ).
fof(f487,plain,
( ~ organization(sk4,sk6)
| spl0_57 ),
inference(resolution,[],[f468,f3]) ).
fof(f488,plain,
( ~ spl0_5
| spl0_57 ),
inference(avatar_split_clause,[],[f487,f467,f56]) ).
fof(f489,plain,
( ~ organization(sk4,sk6)
| ~ greater(sk9,sk8)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ spl0_52 ),
inference(resolution,[],[f450,f14]) ).
fof(f492,definition,
( spl0_59
<=> greater(sk9,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f493,plain,
( ~ greater(sk9,sk8)
| spl0_59 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f494,plain,
( ~ spl0_57
| ~ spl0_7
| ~ spl0_59
| ~ spl0_5
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f489,f449,f56,f492,f62,f467]) ).
fof(f500,plain,
( $false
| spl0_59 ),
inference(resolution,[],[f493,f18]) ).
fof(f507,plain,
spl0_59,
inference(avatar_contradiction_clause,[],[f500]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f83]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f85]) ).
cnf(s7,plain,
spl0_3,
inference(sat_conversion,[],[f87]) ).
cnf(s8,plain,
spl0_7,
inference(sat_conversion,[],[f89]) ).
cnf(s9,plain,
( ~ spl0_1
| spl0_13 ),
inference(sat_conversion,[],[f97]) ).
cnf(s11,plain,
( ~ spl0_5
| ~ spl0_13
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f109]) ).
cnf(s23,plain,
( ~ spl0_1
| spl0_21
| spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f191]) ).
cnf(s28,plain,
( ~ spl0_5
| ~ spl0_19
| ~ spl0_34 ),
inference(sat_conversion,[],[f214]) ).
cnf(s35,plain,
( ~ spl0_5
| spl0_34
| spl0_45 ),
inference(sat_conversion,[],[f297]) ).
cnf(s38,plain,
( ~ spl0_1
| ~ spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f305]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_30 ),
inference(sat_conversion,[],[f307]) ).
cnf(s41,plain,
( ~ spl0_5
| ~ spl0_32 ),
inference(sat_conversion,[],[f311]) ).
cnf(s42,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_21 ),
inference(sat_conversion,[],[f313]) ).
cnf(s43,plain,
( ~ spl0_5
| ~ spl0_31
| spl0_32
| spl0_47 ),
inference(sat_conversion,[],[f331]) ).
cnf(s44,plain,
( ~ spl0_1
| ~ spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f339]) ).
cnf(s46,plain,
( ~ spl0_1
| ~ spl0_45
| spl0_47 ),
inference(sat_conversion,[],[f357]) ).
cnf(s47,plain,
( ~ spl0_5
| ~ spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f363]) ).
cnf(s49,plain,
( ~ spl0_1
| ~ spl0_48
| ~ spl0_50 ),
inference(sat_conversion,[],[f372]) ).
cnf(s50,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_50
| ~ spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f451]) ).
cnf(s54,plain,
( ~ spl0_1
| spl0_51 ),
inference(sat_conversion,[],[f474]) ).
cnf(s55,plain,
( ~ spl0_5
| spl0_57 ),
inference(sat_conversion,[],[f488]) ).
cnf(s56,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_52
| ~ spl0_57
| ~ spl0_59 ),
inference(sat_conversion,[],[f494]) ).
cnf(s58,plain,
spl0_59,
inference(sat_conversion,[],[f507]) ).
cnf(s60,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_52
| ~ spl0_57 ),
inference(rat,[],[s56,s58]) ).
cnf(s61,plain,
spl0_57,
inference(rat,[],[s55,s6]) ).
cnf(s62,plain,
~ spl0_32,
inference(rat,[],[s41,s6]) ).
cnf(s64,plain,
~ spl0_52,
inference(rat,[],[s60,s6,s8,s61]) ).
cnf(s65,plain,
spl0_51,
inference(rat,[],[s54,s5]) ).
cnf(s66,plain,
spl0_50,
inference(rat,[],[s50,s64,s65,s7,s5]) ).
cnf(s67,plain,
~ spl0_48,
inference(rat,[],[s49,s66,s5]) ).
cnf(s68,plain,
~ spl0_30,
inference(rat,[],[s39,s5]) ).
cnf(s69,plain,
spl0_13,
inference(rat,[],[s9,s5]) ).
cnf(s71,plain,
~ spl0_47,
inference(rat,[],[s47,s6,s67]) ).
cnf(s72,plain,
~ spl0_31,
inference(rat,[],[s43,s62,s6,s71]) ).
cnf(s73,plain,
~ spl0_45,
inference(rat,[],[s46,s5,s71]) ).
cnf(s74,plain,
spl0_21,
inference(rat,[],[s23,s5,s68,s72]) ).
cnf(s75,plain,
spl0_34,
inference(rat,[],[s35,s6,s73]) ).
cnf(s76,plain,
~ spl0_18,
inference(rat,[],[s42,s6,s74]) ).
cnf(s78,plain,
~ spl0_19,
inference(rat,[],[s28,s6,s75]) ).
cnf(s80,plain,
~ spl0_15,
inference(rat,[],[s38,s5,s76]) ).
cnf(s81,plain,
~ spl0_16,
inference(rat,[],[s44,s5,s78]) ).
cnf(s82,plain,
$false,
inference(rat,[],[s11,s69,s6,s81,s80]) ).
fof(f508,plain,
$false,
inference(avatar_sat_refutation,[],[s82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT001-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 % Computer : n007.cluster.edu
% 0.11/0.43 % Model : x86_64 x86_64
% 0.11/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.43 % Memory : 8046.5625MB
% 0.11/0.43 % OS : Linux 6.8.0-71-generic
% 0.11/0.43 % CPULimit : 300
% 0.11/0.43 % WCLimit : 300
% 0.11/0.43 % DateTime : Sun Sep 27 17:13:25 UTC 2026
% 0.11/0.43 % CPUTime :
% 0.11/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.47 Running first-order theorem proving
% 0.11/0.47 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
% 1.71/1.21 % (1671238)Input is clausal, will run a generic CNF schedule.
% 1.71/1.21 % (1671249)dis-21_1_sil=8000:lcm=predicate:random_seed=597060040: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)
% 1.71/1.21 % (1671249)First to succeed.
% 1.71/1.21 % (1671249)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1671238"
% 1.71/1.21 % (1671244)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3520405433:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.71/1.21 % (1671246)lrs+10_1_sil=8000:sp=occurrence:random_seed=22789990:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.71/1.21 % (1671243)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=3763142663:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.71/1.21 % (1671248)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3977368443:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.71/1.21 % (1671247)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1731404360:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.71/1.21 % (1671245)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3964543703:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.71/1.21 % (1671247)Refutation not found, incomplete strategy
% 1.71/1.21 % (1671247)------------------------------
% 1.71/1.21 % (1671247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.71/1.21 % (1671247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/1.21 % (1671247)CaDiCaL version: 2.1.3
% 1.71/1.21 % (1671247)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.21 % (1671247)Time elapsed: 0.001 s
% 1.71/1.21 % (1671247)Peak memory usage: 87 MB
% 1.71/1.21 % (1671246)Also succeeded, but the first one will report.
% 1.71/1.21 % (1671248)Also succeeded, but the first one will report.
% 1.71/1.21 % (1671249)Refutation found. Thanks to Tanya!
% 1.71/1.21 % SZS status Unsatisfiable for theBenchmark
% 1.71/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.40 % (1671249)------------------------------
% 0.17/1.40 % (1671249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (1671249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (1671249)CaDiCaL version: 2.1.3
% 0.17/1.40 % (1671249)Termination reason: Refutation
% 0.17/1.40 % (1671249)Time elapsed: 0.008 s
% 0.17/1.40 % (1671249)Peak memory usage: 89 MB
% 0.17/1.40 % (1671249)Instructions burned: 21 (million)
% 0.17/1.40 % (1671249)------------------------------
% 0.17/1.40 % (1671249)------------------------------
% 0.17/1.40 % (1671238)Success in time 0.296 s
% 0.17/1.40 % Vampire exiting
%------------------------------------------------------------------------------