%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT010+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:02:28 PM UTC 2026
% Result : Theorem 0.14s 0.48s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 11
% Syntax : Number of formulae : 117 ( 32 unt; 7 def)
% Number of atoms : 529 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 648 ( 236 ~; 325 |; 72 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 8 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 303 ( 0 sgn 279 !; 24 ?)
% 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,X5,X6,X7,X8] :
( ( organization(X0,X7)
& organization(X1,X8)
& reorganization_free(X0,X7,X7)
& reorganization_free(X1,X8,X8)
& class(X0,X2,X7)
& class(X1,X2,X8)
& reproducibility(X0,X3,X7)
& reproducibility(X1,X4,X8)
& size(X0,X5,X7)
& size(X1,X6,X8)
& greater(X6,X5) )
=> greater(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL) ).
fof(f4,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( organization(X0,X9)
& organization(X1,X10)
& reorganization_free(X0,X9,X9)
& reorganization_free(X1,X10,X10)
& class(X0,X2,X9)
& class(X1,X2,X10)
& reliability(X0,X3,X9)
& reliability(X1,X4,X10)
& accountability(X0,X5,X9)
& accountability(X1,X6,X10)
& size(X0,X7,X9)
& size(X1,X8,X10)
& greater(X8,X7) )
=> ( greater(X4,X3)
& greater(X6,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_FOL) ).
fof(f5,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( organization(X0,X9)
& organization(X1,X10)
& reorganization_free(X0,X9,X9)
& reorganization_free(X1,X10,X10)
& class(X0,X2,X9)
& class(X1,X2,X10)
& reliability(X0,X3,X9)
& reliability(X1,X4,X10)
& accountability(X0,X5,X9)
& accountability(X1,X6,X10)
& size(X0,X7,X9)
& size(X1,X8,X10)
& greater(X8,X7) )
=> ( greater(X4,X3)
& greater(X6,X5) ) ),
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,X5,X6,X7,X8] :
( greater(X4,X3)
| ~ organization(X0,X7)
| ~ organization(X1,X8)
| ~ reorganization_free(X0,X7,X7)
| ~ reorganization_free(X1,X8,X8)
| ~ class(X0,X2,X7)
| ~ class(X1,X2,X8)
| ~ reproducibility(X0,X3,X7)
| ~ reproducibility(X1,X4,X8)
| ~ size(X0,X5,X7)
| ~ size(X1,X6,X8)
| ~ greater(X6,X5) ),
inference(ennf_transformation,[],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X4,X3)
| ~ organization(X0,X7)
| ~ organization(X1,X8)
| ~ reorganization_free(X0,X7,X7)
| ~ reorganization_free(X1,X8,X8)
| ~ class(X0,X2,X7)
| ~ class(X1,X2,X8)
| ~ reproducibility(X0,X3,X7)
| ~ reproducibility(X1,X4,X8)
| ~ size(X0,X5,X7)
| ~ size(X1,X6,X8)
| ~ greater(X6,X5) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( ~ greater(X4,X3)
| ~ greater(X6,X5) )
& organization(X0,X9)
& organization(X1,X10)
& reorganization_free(X0,X9,X9)
& reorganization_free(X1,X10,X10)
& class(X0,X2,X9)
& class(X1,X2,X10)
& reliability(X0,X3,X9)
& reliability(X1,X4,X10)
& accountability(X0,X5,X9)
& accountability(X1,X6,X10)
& size(X0,X7,X9)
& size(X1,X8,X10)
& greater(X8,X7) ),
inference(ennf_transformation,[],[f5]) ).
fof(f12,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( ~ greater(X4,X3)
| ~ greater(X6,X5) )
& organization(X0,X9)
& organization(X1,X10)
& reorganization_free(X0,X9,X9)
& reorganization_free(X1,X10,X10)
& class(X0,X2,X9)
& class(X1,X2,X10)
& reliability(X0,X3,X9)
& reliability(X1,X4,X10)
& accountability(X0,X5,X9)
& accountability(X1,X6,X10)
& size(X0,X7,X9)
& size(X1,X8,X10)
& greater(X8,X7) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| reproducibility(X0,sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ reproducibility(X1,X9,X3)
| ~ reproducibility(X0,X8,X2)
| ~ accountability(X1,X7,X3)
| ~ accountability(X0,X6,X2)
| ~ reliability(X1,X5,X3)
| ~ reliability(X0,X4,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2)
| greater(X7,X6)
| ~ greater(X9,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ reproducibility(X1,X9,X3)
| ~ reproducibility(X0,X8,X2)
| ~ accountability(X1,X7,X3)
| ~ accountability(X0,X6,X2)
| ~ reliability(X1,X5,X3)
| ~ reliability(X0,X4,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2)
| greater(X5,X4)
| ~ greater(X9,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ greater(X6,X5)
| ~ size(X1,X6,X8)
| ~ size(X0,X5,X7)
| ~ reproducibility(X1,X4,X8)
| ~ reproducibility(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ reorganization_free(X1,X8,X8)
| ~ reorganization_free(X0,X7,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7)
| greater(X4,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
( ~ greater(sK7,sK6)
| ~ greater(sK5,sK4) ),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
greater(sK9,sK8),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
size(sK2,sK9,sK11),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
size(sK1,sK8,sK10),
inference(cnf_transformation,[],[f12]) ).
fof(f22,plain,
accountability(sK2,sK7,sK11),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
accountability(sK1,sK6,sK10),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
reliability(sK2,sK5,sK11),
inference(cnf_transformation,[],[f12]) ).
fof(f25,plain,
reliability(sK1,sK4,sK10),
inference(cnf_transformation,[],[f12]) ).
fof(f26,plain,
class(sK2,sK3,sK11),
inference(cnf_transformation,[],[f12]) ).
fof(f27,plain,
class(sK1,sK3,sK10),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
reorganization_free(sK2,sK11,sK11),
inference(cnf_transformation,[],[f12]) ).
fof(f29,plain,
reorganization_free(sK1,sK10,sK10),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
organization(sK2,sK11),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
organization(sK1,sK10),
inference(cnf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0,X1] :
( reproducibility(X0,sK0(X0,X1),X1)
| organization(X0,X1) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ accountability(X1,X7,X3)
| ~ reproducibility(X0,X8,X2)
| ~ reproducibility(X1,X9,X3)
| ~ accountability(X0,X6,X2)
| reliability(X1,X5,X3)
| reliability(X0,X4,X2)
| organization(X1,X3)
| organization(X0,X2)
| ~ greater(X5,X4)
| greater(X9,X8) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f35,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ accountability(X1,X7,X3)
| ~ reproducibility(X0,X8,X2)
| ~ reproducibility(X1,X9,X3)
| ~ accountability(X0,X6,X2)
| reliability(X1,X5,X3)
| reliability(X0,X4,X2)
| organization(X1,X3)
| organization(X0,X2)
| ~ greater(X7,X6)
| greater(X9,X8) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ class(X1,X2,X8)
| size(X1,X6,X8)
| size(X0,X5,X7)
| ~ reproducibility(X1,X4,X8)
| ~ reproducibility(X0,X3,X7)
| greater(X6,X5)
| ~ class(X0,X2,X7)
| ~ reorganization_free(X1,X8,X8)
| ~ reorganization_free(X0,X7,X7)
| organization(X1,X8)
| organization(X0,X7)
| ~ greater(X4,X3) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f37,plain,
~ organization(sK1,sK10),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f38,plain,
~ organization(sK2,sK11),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f39,plain,
~ reliability(sK1,sK4,sK10),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f40,plain,
~ reliability(sK2,sK5,sK11),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f41,plain,
~ size(sK1,sK8,sK10),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f42,plain,
~ size(sK2,sK9,sK11),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f43,plain,
~ greater(sK9,sK8),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f44,plain,
( greater(sK7,sK6)
| greater(sK5,sK4) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f46,definition,
( spl12_1
<=> greater(sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f48,plain,
( greater(sK5,sK4)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl12_2
<=> greater(sK7,sK6) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f52,plain,
( greater(sK7,sK6)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f44,f50,f46]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ reproducibility(X0,X1,X2)
| ~ reproducibility(sK2,X3,sK11)
| ~ accountability(X0,X4,X2)
| reliability(sK2,X5,sK11)
| reliability(X0,X6,X2)
| organization(sK2,sK11)
| organization(X0,X2)
| ~ greater(X5,X6)
| greater(X3,X1) ),
inference(resolution,[],[f34,f22]) ).
fof(f57,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ reproducibility(sK2,X3,sK11)
| ~ reproducibility(X0,X1,X2)
| ~ accountability(X0,X4,X2)
| reliability(sK2,X5,sK11)
| reliability(X0,X6,X2)
| organization(X0,X2)
| ~ greater(X5,X6)
| greater(X3,X1) ),
inference(forward_subsumption_resolution,[],[f54,f38]) ).
fof(f58,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ reproducibility(X0,X1,X2)
| ~ reproducibility(sK2,X3,sK11)
| ~ accountability(X0,X4,X2)
| reliability(sK2,X5,sK11)
| reliability(X0,X6,X2)
| organization(sK2,sK11)
| organization(X0,X2)
| ~ greater(sK7,X4)
| greater(X3,X1) ),
inference(resolution,[],[f35,f22]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ reproducibility(X0,X1,X2)
| ~ reproducibility(sK2,X3,sK11)
| ~ accountability(X0,X4,X2)
| reliability(sK2,X5,sK11)
| reliability(X0,X6,X2)
| organization(X0,X2)
| ~ greater(sK7,X4)
| greater(X3,X1) ),
inference(forward_subsumption_resolution,[],[f58,f38]) ).
fof(f63,definition,
( spl12_3
<=> ! [X5] : reliability(sK1,X5,sK10) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f64,plain,
( ! [X5] : reliability(sK1,X5,sK10)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f70,definition,
( spl12_5
<=> ! [X5] : reliability(sK2,X5,sK11) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f71,plain,
( ! [X5] : reliability(sK2,X5,sK11)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl12_6
<=> ! [X3,X4,X0,X6,X2,X1] :
( ~ reproducibility(X0,X1,X2)
| ~ greater(sK7,X4)
| organization(X0,X2)
| reliability(X0,X6,X2)
| ~ accountability(X0,X4,X2)
| ~ reproducibility(sK2,X3,sK11)
| greater(X3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f74,plain,
( ! [X2,X3,X0,X1,X6,X4] :
( ~ greater(sK7,X4)
| ~ reproducibility(X0,X1,X2)
| organization(X0,X2)
| reliability(X0,X6,X2)
| ~ accountability(X0,X4,X2)
| ~ reproducibility(sK2,X3,sK11)
| greater(X3,X1) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f61,f73,f70]) ).
fof(f80,plain,
( $false
| ~ spl12_3 ),
inference(backward_subsumption_resolution,[],[f39,f64]) ).
fof(f81,plain,
~ spl12_3,
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4,X5] :
( size(sK2,X0,sK11)
| size(X1,X2,X3)
| ~ reproducibility(sK2,X4,sK11)
| ~ reproducibility(X1,X5,X3)
| greater(X0,X2)
| ~ class(X1,sK3,X3)
| ~ reorganization_free(sK2,sK11,sK11)
| ~ reorganization_free(X1,X3,X3)
| organization(sK2,sK11)
| organization(X1,X3)
| ~ greater(X4,X5) ),
inference(resolution,[],[f36,f26]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X4,X5] :
( size(sK2,X0,sK11)
| size(X1,X2,X3)
| ~ reproducibility(sK2,X4,sK11)
| ~ reproducibility(X1,X5,X3)
| greater(X0,X2)
| ~ class(X1,sK3,X3)
| ~ reorganization_free(X1,X3,X3)
| organization(sK2,sK11)
| organization(X1,X3)
| ~ greater(X4,X5) ),
inference(forward_subsumption_resolution,[],[f82,f28]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ reproducibility(sK2,X4,sK11)
| size(X1,X2,X3)
| size(sK2,X0,sK11)
| ~ reproducibility(X1,X5,X3)
| greater(X0,X2)
| ~ class(X1,sK3,X3)
| ~ reorganization_free(X1,X3,X3)
| organization(X1,X3)
| ~ greater(X4,X5) ),
inference(forward_subsumption_resolution,[],[f85,f38]) ).
fof(f88,plain,
( $false
| ~ spl12_5 ),
inference(backward_subsumption_resolution,[],[f40,f71]) ).
fof(f89,plain,
~ spl12_5,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f90,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ reproducibility(sK2,X4,sK11)
| organization(X0,X2)
| reliability(X0,X3,X2)
| ~ accountability(X0,sK6,X2)
| ~ reproducibility(X0,X1,X2)
| greater(X4,X1) )
| ~ spl12_2
| ~ spl12_6 ),
inference(resolution,[],[f74,f52]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ reproducibility(X0,X1,X2)
| ~ accountability(X0,X3,X2)
| reliability(sK2,X4,sK11)
| reliability(X0,X5,X2)
| organization(X0,X2)
| ~ greater(X4,X5)
| greater(sK0(sK2,sK11),X1)
| organization(sK2,sK11) ),
inference(resolution,[],[f57,f32]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ reproducibility(X0,X1,X2)
| ~ accountability(X0,X3,X2)
| reliability(sK2,X4,sK11)
| reliability(X0,X5,X2)
| organization(X0,X2)
| ~ greater(X4,X5)
| greater(sK0(sK2,sK11),X1) ),
inference(forward_subsumption_resolution,[],[f93,f38]) ).
fof(f95,plain,
( ! [X2,X3,X0,X1] :
( organization(X0,X1)
| reliability(X0,X2,X1)
| ~ accountability(X0,sK6,X1)
| ~ reproducibility(X0,X3,X1)
| greater(sK0(sK2,sK11),X3)
| organization(sK2,sK11) )
| ~ spl12_2
| ~ spl12_6 ),
inference(resolution,[],[f90,f32]) ).
fof(f96,plain,
( ! [X2,X3,X0,X1] :
( ~ accountability(X0,sK6,X1)
| reliability(X0,X2,X1)
| organization(X0,X1)
| ~ reproducibility(X0,X3,X1)
| greater(sK0(sK2,sK11),X3) )
| ~ spl12_2
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f95,f38]) ).
fof(f100,definition,
( spl12_7
<=> ! [X1] :
( ~ reproducibility(sK1,X1,sK10)
| greater(sK0(sK2,sK11),X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f101,plain,
( ! [X1] :
( greater(sK0(sK2,sK11),X1)
| ~ reproducibility(sK1,X1,sK10) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X4] :
( size(X0,X1,X2)
| size(sK2,X3,sK11)
| ~ reproducibility(X0,X4,X2)
| greater(X3,X1)
| ~ class(X0,sK3,X2)
| ~ reorganization_free(X0,X2,X2)
| organization(X0,X2)
| ~ greater(sK0(sK2,sK11),X4)
| organization(sK2,sK11) ),
inference(resolution,[],[f87,f32]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(sK0(sK2,sK11),X4)
| size(sK2,X3,sK11)
| ~ reproducibility(X0,X4,X2)
| greater(X3,X1)
| ~ class(X0,sK3,X2)
| ~ reorganization_free(X0,X2,X2)
| organization(X0,X2)
| size(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f109,f38]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4] :
( ~ accountability(X0,X1,X2)
| reliability(sK2,X3,sK11)
| reliability(X0,X4,X2)
| organization(X0,X2)
| ~ greater(X3,X4)
| greater(sK0(sK2,sK11),sK0(X0,X2))
| organization(X0,X2) ),
inference(resolution,[],[f94,f32]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(X3,X4)
| reliability(sK2,X3,sK11)
| reliability(X0,X4,X2)
| organization(X0,X2)
| ~ accountability(X0,X1,X2)
| greater(sK0(sK2,sK11),sK0(X0,X2)) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f153,plain,
( ! [X2,X0,X1] :
( reliability(sK2,sK5,sK11)
| reliability(X0,sK4,X1)
| organization(X0,X1)
| ~ accountability(X0,X2,X1)
| greater(sK0(sK2,sK11),sK0(X0,X1)) )
| ~ spl12_1 ),
inference(resolution,[],[f48,f114]) ).
fof(f163,plain,
( ! [X2,X0,X1] :
( ~ accountability(X0,X2,X1)
| organization(X0,X1)
| reliability(X0,sK4,X1)
| greater(sK0(sK2,sK11),sK0(X0,X1)) )
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f153,f40]) ).
fof(f214,definition,
( spl12_22
<=> greater(sK0(sK2,sK11),sK0(sK1,sK10)) ),
introduced(definition,[new_symbols(definition,[spl12_22])],[avatar_definition]) ).
fof(f215,plain,
( ~ greater(sK0(sK2,sK11),sK0(sK1,sK10))
| spl12_22 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f216,plain,
( greater(sK0(sK2,sK11),sK0(sK1,sK10))
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f235,plain,
( organization(sK1,sK10)
| reliability(sK1,sK4,sK10)
| greater(sK0(sK2,sK11),sK0(sK1,sK10))
| ~ spl12_1 ),
inference(resolution,[],[f163,f23]) ).
fof(f236,plain,
( reliability(sK1,sK4,sK10)
| greater(sK0(sK2,sK11),sK0(sK1,sK10))
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f235,f37]) ).
fof(f238,plain,
( greater(sK0(sK2,sK11),sK0(sK1,sK10))
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f236,f39]) ).
fof(f240,plain,
( spl12_22
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f238,f46,f214]) ).
fof(f280,plain,
( ! [X2,X3,X0,X1] :
( ~ reproducibility(X1,sK0(sK1,sK10),X2)
| size(sK2,X0,sK11)
| greater(X0,X3)
| ~ class(X1,sK3,X2)
| ~ reorganization_free(X1,X2,X2)
| organization(X1,X2)
| size(X1,X3,X2) )
| ~ spl12_22 ),
inference(resolution,[],[f216,f110]) ).
fof(f302,plain,
( ! [X0,X1] :
( reliability(sK1,X0,sK10)
| organization(sK1,sK10)
| ~ reproducibility(sK1,X1,sK10)
| greater(sK0(sK2,sK11),X1) )
| ~ spl12_2
| ~ spl12_6 ),
inference(resolution,[],[f96,f23]) ).
fof(f303,plain,
( ! [X0,X1] :
( reliability(sK1,X0,sK10)
| ~ reproducibility(sK1,X1,sK10)
| greater(sK0(sK2,sK11),X1) )
| ~ spl12_2
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f302,f37]) ).
fof(f304,plain,
( spl12_7
| spl12_3
| ~ spl12_2
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f303,f73,f50,f63,f100]) ).
fof(f307,plain,
( ~ reproducibility(sK1,sK0(sK1,sK10),sK10)
| ~ spl12_7
| spl12_22 ),
inference(resolution,[],[f101,f215]) ).
fof(f310,plain,
( organization(sK1,sK10)
| ~ spl12_7
| spl12_22 ),
inference(resolution,[],[f307,f32]) ).
fof(f311,plain,
( $false
| ~ spl12_7
| spl12_22 ),
inference(forward_subsumption_resolution,[],[f310,f37]) ).
fof(f312,plain,
( ~ spl12_7
| spl12_22 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f363,plain,
( ! [X0,X1] :
( size(sK2,X0,sK11)
| greater(X0,X1)
| ~ class(sK1,sK3,sK10)
| ~ reorganization_free(sK1,sK10,sK10)
| organization(sK1,sK10)
| size(sK1,X1,sK10)
| organization(sK1,sK10) )
| ~ spl12_22 ),
inference(resolution,[],[f280,f32]) ).
fof(f364,plain,
( ! [X0,X1] :
( size(sK2,X0,sK11)
| greater(X0,X1)
| ~ class(sK1,sK3,sK10)
| ~ reorganization_free(sK1,sK10,sK10)
| organization(sK1,sK10)
| size(sK1,X1,sK10) )
| ~ spl12_22 ),
inference(duplicate_literal_removal,[],[f363]) ).
fof(f365,plain,
( ! [X0,X1] :
( size(sK2,X0,sK11)
| greater(X0,X1)
| ~ reorganization_free(sK1,sK10,sK10)
| organization(sK1,sK10)
| size(sK1,X1,sK10) )
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f364,f27]) ).
fof(f366,plain,
( ! [X0,X1] :
( size(sK2,X0,sK11)
| greater(X0,X1)
| organization(sK1,sK10)
| size(sK1,X1,sK10) )
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f365,f29]) ).
fof(f367,plain,
( ! [X0,X1] :
( size(sK2,X0,sK11)
| greater(X0,X1)
| size(sK1,X1,sK10) )
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f366,f37]) ).
fof(f368,plain,
( ! [X0] :
( size(sK1,X0,sK10)
| greater(sK9,X0) )
| ~ spl12_22 ),
inference(resolution,[],[f367,f42]) ).
fof(f413,plain,
( greater(sK9,sK8)
| ~ spl12_22 ),
inference(resolution,[],[f368,f41]) ).
fof(f414,plain,
( $false
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f413,f43]) ).
fof(f415,plain,
~ spl12_22,
inference(avatar_contradiction_clause,[],[f414]) ).
cnf(s1,plain,
( spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f53]) ).
cnf(s3,plain,
( spl12_5
| spl12_6 ),
inference(sat_conversion,[],[f75]) ).
cnf(s4,plain,
~ spl12_3,
inference(sat_conversion,[],[f81]) ).
cnf(s5,plain,
~ spl12_5,
inference(sat_conversion,[],[f89]) ).
cnf(s30,plain,
( ~ spl12_1
| spl12_22 ),
inference(sat_conversion,[],[f240]) ).
cnf(s46,plain,
( ~ spl12_2
| spl12_3
| ~ spl12_6
| spl12_7 ),
inference(sat_conversion,[],[f304]) ).
cnf(s47,plain,
( ~ spl12_7
| spl12_22 ),
inference(sat_conversion,[],[f312]) ).
cnf(s61,plain,
~ spl12_22,
inference(sat_conversion,[],[f415]) ).
cnf(s62,plain,
~ spl12_7,
inference(rat,[],[s47,s61]) ).
cnf(s63,plain,
( ~ spl12_2
| spl12_3
| ~ spl12_6 ),
inference(rat,[],[s46,s62]) ).
cnf(s66,plain,
~ spl12_1,
inference(rat,[],[s30,s61]) ).
cnf(s70,plain,
spl12_6,
inference(rat,[],[s3,s5]) ).
cnf(s71,plain,
~ spl12_2,
inference(rat,[],[s63,s4,s70]) ).
cnf(s73,plain,
$false,
inference(rat,[],[s1,s71,s66]) ).
fof(f416,plain,
$false,
inference(avatar_sat_refutation,[],[s73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT010+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.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 17:14:10 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 Running first-order model finding
% 0.14/0.43 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
% 0.14/0.48 % (1672849)Will run a generic schedule for satisfiability detection.
% 0.14/0.48 % (1672855)% WARNING: option uhcvi not known.
% 0.14/0.48 % (1672855)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2647935619:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.48 % (1672855) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1672849-1672855"...
% 0.14/0.48 % (1672855)...printing done.
% 0.14/0.48 % (1672854)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3656160804_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.48 % (1672857)dis+10_1_sil=32000:sp=arity:random_seed=2998698104:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.48 % (1672858)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1101502962:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.48 % (1672856)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3912839540:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.48 % (1672855)Refutation found. Thanks to Tanya!
% 0.14/0.48 % SZS status Theorem for theBenchmark
% 0.14/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48 % (1672855)------------------------------
% 0.14/0.48 % (1672855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.48 % (1672855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.48 % (1672855)CaDiCaL version: 2.1.3
% 0.14/0.48 % (1672855)Termination reason: Refutation
% 0.14/0.48 % (1672855)Time elapsed: 0.012 s
% 0.14/0.48 % (1672855)Peak memory usage: 12 MB
% 0.14/0.48 % (1672855)Instructions burned: 20 (million)
% 0.14/0.48 % (1672849)Success in time 0.038 s
% 0.14/0.48 % Vampire exiting
%------------------------------------------------------------------------------