%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT006+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:01:58 PM UTC 2026
% Result : Theorem 1.80s 1.11s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 132 ( 34 unt; 17 def)
% Number of atoms : 464 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 598 ( 266 ~; 248 |; 59 &)
% ( 20 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 18 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 197 ( 0 sgn 181 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : reproducibility(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( organization(X0,X2)
& organization(X1,X3)
& reliability(X0,X4,X2)
& reliability(X1,X5,X3)
& accountability(X0,X6,X2)
& accountability(X1,X7,X3)
& reproducibility(X0,X8,X2)
& reproducibility(X1,X9,X3) )
=> ( greater(X9,X8)
<=> ( greater(X5,X4)
& greater(X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( organization(X0,X3)
& organization(X0,X4)
& reorganization_free(X0,X3,X4)
& reproducibility(X0,X1,X3)
& reproducibility(X0,X2,X4)
& greater(X4,X3) )
=> greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_FOL) ).
fof(f4,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( organization(X0,X5)
& organization(X0,X6)
& reorganization_free(X0,X5,X6)
& reliability(X0,X1,X5)
& reliability(X0,X2,X6)
& accountability(X0,X3,X5)
& accountability(X0,X4,X6)
& greater(X6,X5) )
=> ( greater(X2,X1)
& greater(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_FOL) ).
fof(f5,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( organization(X0,X5)
& organization(X0,X6)
& reorganization_free(X0,X5,X6)
& reliability(X0,X1,X5)
& reliability(X0,X2,X6)
& accountability(X0,X3,X5)
& accountability(X0,X4,X6)
& greater(X6,X5) )
=> ( greater(X2,X1)
& greater(X4,X3) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ? [X2] : reproducibility(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( greater(X9,X8)
<=> ( greater(X5,X4)
& greater(X7,X6) ) )
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reliability(X0,X4,X2)
| ~ reliability(X1,X5,X3)
| ~ accountability(X0,X6,X2)
| ~ accountability(X1,X7,X3)
| ~ reproducibility(X0,X8,X2)
| ~ reproducibility(X1,X9,X3) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( greater(X9,X8)
<=> ( greater(X5,X4)
& greater(X7,X6) ) )
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reliability(X0,X4,X2)
| ~ reliability(X1,X5,X3)
| ~ accountability(X0,X6,X2)
| ~ accountability(X1,X7,X3)
| ~ reproducibility(X0,X8,X2)
| ~ reproducibility(X1,X9,X3) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] :
( greater(X2,X1)
| ~ organization(X0,X3)
| ~ organization(X0,X4)
| ~ reorganization_free(X0,X3,X4)
| ~ reproducibility(X0,X1,X3)
| ~ reproducibility(X0,X2,X4)
| ~ greater(X4,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] :
( greater(X2,X1)
| ~ organization(X0,X3)
| ~ organization(X0,X4)
| ~ reorganization_free(X0,X3,X4)
| ~ reproducibility(X0,X1,X3)
| ~ reproducibility(X0,X2,X4)
| ~ greater(X4,X3) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ greater(X2,X1)
| ~ greater(X4,X3) )
& organization(X0,X5)
& organization(X0,X6)
& reorganization_free(X0,X5,X6)
& reliability(X0,X1,X5)
& reliability(X0,X2,X6)
& accountability(X0,X3,X5)
& accountability(X0,X4,X6)
& greater(X6,X5) ),
inference(ennf_transformation,[],[f5]) ).
fof(f12,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ greater(X2,X1)
| ~ greater(X4,X3) )
& organization(X0,X5)
& organization(X0,X6)
& reorganization_free(X0,X5,X6)
& reliability(X0,X1,X5)
& reliability(X0,X2,X6)
& accountability(X0,X3,X5)
& accountability(X0,X4,X6)
& greater(X6,X5) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( reproducibility(X0,sK0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f6]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ( greater(X9,X8)
| ~ greater(X5,X4)
| ~ greater(X7,X6) )
& ( ( greater(X5,X4)
& greater(X7,X6) )
| ~ greater(X9,X8) ) )
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reliability(X0,X4,X2)
| ~ reliability(X1,X5,X3)
| ~ accountability(X0,X6,X2)
| ~ accountability(X1,X7,X3)
| ~ reproducibility(X0,X8,X2)
| ~ reproducibility(X1,X9,X3) ),
inference(nnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ( greater(X9,X8)
| ~ greater(X5,X4)
| ~ greater(X7,X6) )
& ( ( greater(X5,X4)
& greater(X7,X6) )
| ~ greater(X9,X8) ) )
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reliability(X0,X4,X2)
| ~ reliability(X1,X5,X3)
| ~ accountability(X0,X6,X2)
| ~ accountability(X1,X7,X3)
| ~ reproducibility(X0,X8,X2)
| ~ reproducibility(X1,X9,X3) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
( ( ~ greater(sK3,sK2)
| ~ greater(sK5,sK4) )
& organization(sK1,sK6)
& organization(sK1,sK7)
& reorganization_free(sK1,sK6,sK7)
& reliability(sK1,sK2,sK6)
& reliability(sK1,sK3,sK7)
& accountability(sK1,sK4,sK6)
& accountability(sK1,sK5,sK7)
& greater(sK7,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7)],[f12]) ).
fof(f17,plain,
! [X0,X1] :
( reproducibility(X0,sK0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( greater(X7,X6)
| ~ greater(X9,X8)
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reliability(X0,X4,X2)
| ~ reliability(X1,X5,X3)
| ~ accountability(X0,X6,X2)
| ~ accountability(X1,X7,X3)
| ~ reproducibility(X0,X8,X2)
| ~ reproducibility(X1,X9,X3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( greater(X5,X4)
| ~ greater(X9,X8)
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reliability(X0,X4,X2)
| ~ reliability(X1,X5,X3)
| ~ accountability(X0,X6,X2)
| ~ accountability(X1,X7,X3)
| ~ reproducibility(X0,X8,X2)
| ~ reproducibility(X1,X9,X3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4] :
( ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X3)
| ~ organization(X0,X4)
| greater(X2,X1)
| ~ reproducibility(X0,X1,X3)
| ~ reproducibility(X0,X2,X4)
| ~ greater(X4,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
greater(sK7,sK6),
inference(cnf_transformation,[],[f16]) ).
fof(f23,plain,
accountability(sK1,sK5,sK7),
inference(cnf_transformation,[],[f16]) ).
fof(f24,plain,
accountability(sK1,sK4,sK6),
inference(cnf_transformation,[],[f16]) ).
fof(f25,plain,
reliability(sK1,sK3,sK7),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
reliability(sK1,sK2,sK6),
inference(cnf_transformation,[],[f16]) ).
fof(f27,plain,
reorganization_free(sK1,sK6,sK7),
inference(cnf_transformation,[],[f16]) ).
fof(f28,plain,
organization(sK1,sK7),
inference(cnf_transformation,[],[f16]) ).
fof(f29,plain,
organization(sK1,sK6),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
( ~ greater(sK3,sK2)
| ~ greater(sK5,sK4) ),
inference(cnf_transformation,[],[f16]) ).
fof(f32,definition,
( spl8_1
<=> greater(sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f33,plain,
( ~ greater(sK5,sK4)
| spl8_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,definition,
( spl8_2
<=> greater(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f36,plain,
( ~ greater(sK3,sK2)
| spl8_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f30,f35,f32]) ).
fof(f38,plain,
! [X0,X1] :
( ~ organization(sK1,sK6)
| ~ organization(sK1,sK7)
| greater(X0,X1)
| ~ reproducibility(sK1,X1,sK6)
| ~ reproducibility(sK1,X0,sK7)
| ~ greater(sK7,sK6) ),
inference(resolution,[],[f21,f27]) ).
fof(f40,definition,
( spl8_3
<=> greater(sK7,sK6) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f41,plain,
( ~ greater(sK7,sK6)
| spl8_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,definition,
( spl8_4
<=> ! [X0,X1] :
( greater(X0,X1)
| ~ reproducibility(sK1,X0,sK7)
| ~ reproducibility(sK1,X1,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f44,plain,
( ! [X0,X1] :
( greater(X0,X1)
| ~ reproducibility(sK1,X0,sK7)
| ~ reproducibility(sK1,X1,sK6) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f46,definition,
( spl8_5
<=> organization(sK1,sK7) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f47,plain,
( ~ organization(sK1,sK7)
| spl8_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f49,definition,
( spl8_6
<=> organization(sK1,sK6) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f50,plain,
( ~ organization(sK1,sK6)
| spl8_6 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( ~ spl8_3
| spl8_4
| ~ spl8_5
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f38,f49,f46,f43,f40]) ).
fof(f52,plain,
( $false
| spl8_3 ),
inference(resolution,[],[f41,f22]) ).
fof(f53,plain,
spl8_3,
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f54,plain,
( $false
| spl8_5 ),
inference(resolution,[],[f47,f28]) ).
fof(f55,plain,
spl8_5,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f56,plain,
( $false
| spl8_6 ),
inference(resolution,[],[f50,f29]) ).
fof(f57,plain,
spl8_6,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f66,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ accountability(X2,sK4,X3)
| ~ accountability(X4,sK5,X5)
| ~ organization(X4,X5)
| ~ reliability(X2,X6,X3)
| ~ reliability(X4,X7,X5)
| ~ greater(X0,X1)
| ~ organization(X2,X3)
| ~ reproducibility(X2,X1,X3)
| ~ reproducibility(X4,X0,X5) )
| spl8_1 ),
inference(resolution,[],[f18,f33]) ).
fof(f69,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ accountability(X0,sK4,X1)
| ~ organization(sK1,sK7)
| ~ reliability(X0,X2,X1)
| ~ reliability(sK1,X3,sK7)
| ~ greater(X4,X5)
| ~ organization(X0,X1)
| ~ reproducibility(X0,X5,X1)
| ~ reproducibility(sK1,X4,sK7) )
| spl8_1 ),
inference(resolution,[],[f66,f23]) ).
fof(f71,definition,
( spl8_9
<=> ! [X3] : ~ reliability(sK1,X3,sK7) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f72,plain,
( ! [X3] : ~ reliability(sK1,X3,sK7)
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl8_10
<=> ! [X2,X4,X0,X5,X1] :
( ~ accountability(X0,sK4,X1)
| ~ reproducibility(sK1,X4,sK7)
| ~ reproducibility(X0,X5,X1)
| ~ organization(X0,X1)
| ~ greater(X4,X5)
| ~ reliability(X0,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
fof(f75,plain,
( ! [X2,X0,X1,X4,X5] :
( ~ accountability(X0,sK4,X1)
| ~ reproducibility(sK1,X4,sK7)
| ~ reproducibility(X0,X5,X1)
| ~ organization(X0,X1)
| ~ greater(X4,X5)
| ~ reliability(X0,X2,X1) )
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( spl8_9
| ~ spl8_5
| spl8_10
| spl8_1 ),
inference(avatar_split_clause,[],[f69,f32,f74,f46,f71]) ).
fof(f78,definition,
( spl8_11
<=> ! [X2] : ~ reliability(sK1,X2,sK6) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f79,plain,
( ! [X2] : ~ reliability(sK1,X2,sK6)
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f118,plain,
( $false
| ~ spl8_9 ),
inference(resolution,[],[f72,f25]) ).
fof(f119,plain,
~ spl8_9,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f120,plain,
( $false
| ~ spl8_11 ),
inference(resolution,[],[f79,f26]) ).
fof(f121,plain,
~ spl8_11,
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f122,plain,
( ! [X2,X0,X1] :
( ~ reproducibility(sK1,X0,sK7)
| ~ reproducibility(sK1,X1,sK6)
| ~ organization(sK1,sK6)
| ~ greater(X0,X1)
| ~ reliability(sK1,X2,sK6) )
| ~ spl8_10 ),
inference(resolution,[],[f75,f24]) ).
fof(f124,definition,
( spl8_21
<=> ! [X0,X1] :
( ~ reproducibility(sK1,X0,sK7)
| ~ greater(X0,X1)
| ~ reproducibility(sK1,X1,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
fof(f125,plain,
( ! [X0,X1] :
( ~ reproducibility(sK1,X0,sK7)
| ~ reproducibility(sK1,X1,sK6)
| ~ greater(X0,X1) )
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( spl8_11
| ~ spl8_6
| spl8_21
| ~ spl8_10 ),
inference(avatar_split_clause,[],[f122,f74,f124,f49,f78]) ).
fof(f130,plain,
( ! [X0] :
( ~ reproducibility(sK1,X0,sK7)
| ~ greater(X0,sK0(sK1,sK6))
| ~ organization(sK1,sK6) )
| ~ spl8_21 ),
inference(resolution,[],[f125,f17]) ).
fof(f132,definition,
( spl8_22
<=> ! [X0] :
( ~ reproducibility(sK1,X0,sK7)
| ~ greater(X0,sK0(sK1,sK6)) ) ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
fof(f133,plain,
( ! [X0] :
( ~ reproducibility(sK1,X0,sK7)
| ~ greater(X0,sK0(sK1,sK6)) )
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( ~ spl8_6
| spl8_22
| ~ spl8_21 ),
inference(avatar_split_clause,[],[f130,f124,f132,f49]) ).
fof(f139,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ accountability(X2,X6,X3)
| ~ accountability(X4,X7,X5)
| ~ organization(X4,X5)
| ~ reliability(X2,sK2,X3)
| ~ reliability(X4,sK3,X5)
| ~ greater(X0,X1)
| ~ organization(X2,X3)
| ~ reproducibility(X2,X1,X3)
| ~ reproducibility(X4,X0,X5) )
| spl8_2 ),
inference(resolution,[],[f36,f19]) ).
fof(f150,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ accountability(X0,X1,X2)
| ~ organization(X0,X2)
| ~ reliability(sK1,sK2,sK6)
| ~ reliability(X0,sK3,X2)
| ~ greater(X3,X4)
| ~ organization(sK1,sK6)
| ~ reproducibility(sK1,X4,sK6)
| ~ reproducibility(X0,X3,X2) )
| spl8_2 ),
inference(resolution,[],[f139,f24]) ).
fof(f163,definition,
( spl8_28
<=> reliability(sK1,sK3,sK7) ),
introduced(definition,[new_symbols(definition,[spl8_28])],[avatar_definition]) ).
fof(f164,plain,
( ~ reliability(sK1,sK3,sK7)
| spl8_28 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f170,definition,
( spl8_30
<=> reliability(sK1,sK2,sK6) ),
introduced(definition,[new_symbols(definition,[spl8_30])],[avatar_definition]) ).
fof(f171,plain,
( ~ reliability(sK1,sK2,sK6)
| spl8_30 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,definition,
( spl8_31
<=> ! [X4,X0,X3,X2,X1] :
( ~ accountability(X0,X1,X2)
| ~ reproducibility(X0,X3,X2)
| ~ greater(X3,X4)
| ~ reproducibility(sK1,X4,sK6)
| ~ reliability(X0,sK3,X2)
| ~ organization(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl8_31])],[avatar_definition]) ).
fof(f174,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ accountability(X0,X1,X2)
| ~ reproducibility(X0,X3,X2)
| ~ greater(X3,X4)
| ~ reproducibility(sK1,X4,sK6)
| ~ reliability(X0,sK3,X2)
| ~ organization(X0,X2) )
| ~ spl8_31 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f175,plain,
( ~ spl8_6
| ~ spl8_30
| spl8_31
| spl8_2 ),
inference(avatar_split_clause,[],[f150,f35,f173,f170,f49]) ).
fof(f184,plain,
( $false
| spl8_28 ),
inference(resolution,[],[f164,f25]) ).
fof(f185,plain,
spl8_28,
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f210,plain,
( $false
| spl8_30 ),
inference(resolution,[],[f171,f26]) ).
fof(f211,plain,
spl8_30,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f215,plain,
( ~ greater(sK0(sK1,sK7),sK0(sK1,sK6))
| ~ organization(sK1,sK7)
| ~ spl8_22 ),
inference(resolution,[],[f133,f17]) ).
fof(f217,definition,
( spl8_39
<=> greater(sK0(sK1,sK7),sK0(sK1,sK6)) ),
introduced(definition,[new_symbols(definition,[spl8_39])],[avatar_definition]) ).
fof(f218,plain,
( ~ greater(sK0(sK1,sK7),sK0(sK1,sK6))
| spl8_39 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f219,plain,
( ~ spl8_5
| ~ spl8_39
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f215,f132,f217,f46]) ).
fof(f220,plain,
( ! [X0,X1] :
( ~ reproducibility(sK1,X0,sK7)
| ~ greater(X0,X1)
| ~ reproducibility(sK1,X1,sK6)
| ~ reliability(sK1,sK3,sK7)
| ~ organization(sK1,sK7) )
| ~ spl8_31 ),
inference(resolution,[],[f174,f23]) ).
fof(f222,plain,
( ~ spl8_5
| ~ spl8_28
| spl8_21
| ~ spl8_31 ),
inference(avatar_split_clause,[],[f220,f173,f124,f163,f46]) ).
fof(f226,plain,
( ~ reproducibility(sK1,sK0(sK1,sK7),sK7)
| ~ reproducibility(sK1,sK0(sK1,sK6),sK6)
| ~ spl8_4
| spl8_39 ),
inference(resolution,[],[f218,f44]) ).
fof(f228,definition,
( spl8_40
<=> reproducibility(sK1,sK0(sK1,sK6),sK6) ),
introduced(definition,[new_symbols(definition,[spl8_40])],[avatar_definition]) ).
fof(f229,plain,
( ~ reproducibility(sK1,sK0(sK1,sK6),sK6)
| spl8_40 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,definition,
( spl8_41
<=> reproducibility(sK1,sK0(sK1,sK7),sK7) ),
introduced(definition,[new_symbols(definition,[spl8_41])],[avatar_definition]) ).
fof(f232,plain,
( ~ reproducibility(sK1,sK0(sK1,sK7),sK7)
| spl8_41 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f233,plain,
( ~ spl8_40
| ~ spl8_41
| ~ spl8_4
| spl8_39 ),
inference(avatar_split_clause,[],[f226,f217,f43,f231,f228]) ).
fof(f236,plain,
( ~ organization(sK1,sK6)
| spl8_40 ),
inference(resolution,[],[f229,f17]) ).
fof(f237,plain,
( ~ spl8_6
| spl8_40 ),
inference(avatar_split_clause,[],[f236,f228,f49]) ).
fof(f240,plain,
( ~ organization(sK1,sK7)
| spl8_41 ),
inference(resolution,[],[f232,f17]) ).
fof(f241,plain,
( ~ spl8_5
| spl8_41 ),
inference(avatar_split_clause,[],[f240,f231,f46]) ).
cnf(s1,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s2,plain,
( ~ spl8_3
| spl8_4
| ~ spl8_5
| ~ spl8_6 ),
inference(sat_conversion,[],[f51]) ).
cnf(s3,plain,
spl8_3,
inference(sat_conversion,[],[f53]) ).
cnf(s4,plain,
spl8_5,
inference(sat_conversion,[],[f55]) ).
cnf(s5,plain,
spl8_6,
inference(sat_conversion,[],[f57]) ).
cnf(s7,plain,
( spl8_1
| ~ spl8_5
| spl8_9
| spl8_10 ),
inference(sat_conversion,[],[f76]) ).
cnf(s13,plain,
~ spl8_9,
inference(sat_conversion,[],[f119]) ).
cnf(s14,plain,
~ spl8_11,
inference(sat_conversion,[],[f121]) ).
cnf(s15,plain,
( ~ spl8_6
| ~ spl8_10
| spl8_11
| spl8_21 ),
inference(sat_conversion,[],[f126]) ).
cnf(s17,plain,
( ~ spl8_6
| ~ spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f134]) ).
cnf(s22,plain,
( spl8_2
| ~ spl8_6
| ~ spl8_30
| spl8_31 ),
inference(sat_conversion,[],[f175]) ).
cnf(s24,plain,
spl8_28,
inference(sat_conversion,[],[f185]) ).
cnf(s28,plain,
spl8_30,
inference(sat_conversion,[],[f211]) ).
cnf(s30,plain,
( ~ spl8_5
| ~ spl8_22
| ~ spl8_39 ),
inference(sat_conversion,[],[f219]) ).
cnf(s31,plain,
( ~ spl8_5
| spl8_21
| ~ spl8_28
| ~ spl8_31 ),
inference(sat_conversion,[],[f222]) ).
cnf(s32,plain,
( ~ spl8_4
| spl8_39
| ~ spl8_40
| ~ spl8_41 ),
inference(sat_conversion,[],[f233]) ).
cnf(s33,plain,
( ~ spl8_6
| spl8_40 ),
inference(sat_conversion,[],[f237]) ).
cnf(s34,plain,
( ~ spl8_5
| spl8_41 ),
inference(sat_conversion,[],[f241]) ).
cnf(s35,plain,
( spl8_2
| ~ spl8_6
| spl8_31 ),
inference(rat,[],[s22,s28]) ).
cnf(s38,plain,
( spl8_1
| ~ spl8_5
| spl8_10 ),
inference(rat,[],[s7,s13]) ).
cnf(s39,plain,
spl8_40,
inference(rat,[],[s33,s5]) ).
cnf(s40,plain,
spl8_41,
inference(rat,[],[s34,s4]) ).
cnf(s41,plain,
spl8_4,
inference(rat,[],[s2,s5,s4,s3]) ).
cnf(s42,plain,
spl8_39,
inference(rat,[],[s32,s40,s39,s41]) ).
cnf(s43,plain,
~ spl8_22,
inference(rat,[],[s30,s4,s42]) ).
cnf(s44,plain,
~ spl8_21,
inference(rat,[],[s17,s5,s43]) ).
cnf(s45,plain,
~ spl8_31,
inference(rat,[],[s31,s4,s24,s44]) ).
cnf(s47,plain,
~ spl8_10,
inference(rat,[],[s15,s5,s14,s44]) ).
cnf(s49,plain,
spl8_2,
inference(rat,[],[s35,s5,s45]) ).
cnf(s50,plain,
spl8_1,
inference(rat,[],[s38,s4,s47]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s1,s49,s50]) ).
fof(f242,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT006+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 17:15:47 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 1.80/1.11 % (34508)Detected formulas, will run a generic FOF schedule.
% 1.80/1.11 % (34519)dis-21_1_sil=8000:lcm=predicate:random_seed=2990981419:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.80/1.11 % (34519)First to succeed.
% 1.80/1.11 % (34519)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-34508"
% 1.80/1.11 % (34513)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=2290044529:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.80/1.11 % (34517)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1917016082:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.80/1.11 % (34516)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3648510803:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.80/1.11 % (34518)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1143111425:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.80/1.11 % (34515)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=270055237:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.80/1.11 % (34514)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2635253257:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.80/1.11 % (34517)Also succeeded, but the first one will report.
% 1.80/1.11 % (34518)Also succeeded, but the first one will report.
% 1.80/1.11 % (34516)Also succeeded, but the first one will report.
% 1.80/1.11 % (34519)Refutation found. Thanks to Tanya!
% 1.80/1.11 % SZS status Theorem for theBenchmark
% 1.80/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.30 % (34519)------------------------------
% 0.18/1.30 % (34519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (34519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (34519)CaDiCaL version: 2.1.3
% 0.18/1.30 % (34519)Termination reason: Refutation
% 0.18/1.30 % (34519)Time elapsed: 0.004 s
% 0.18/1.30 % (34519)Peak memory usage: 89 MB
% 0.18/1.30 % (34519)Instructions burned: 7 (million)
% 0.18/1.30 % (34519)------------------------------
% 0.18/1.30 % (34519)------------------------------
% 0.18/1.30 % (34508)Success in time 0.271 s
% 0.18/1.30 % Vampire exiting
%------------------------------------------------------------------------------