%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT001+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 : n017.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 : Theorem 0.74s 1.45s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 7
% Syntax : Number of formulae : 90 ( 13 unt; 0 def)
% Number of atoms : 535 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 820 ( 375 ~; 357 |; 74 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 412 ( 390 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : reliability(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).
fof(f2,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : accountability(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).
fof(f3,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : reproducibility(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).
fof(f4,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( organization(X0,X8)
& organization(X1,X9)
& reliability(X0,X2,X8)
& reliability(X1,X3,X9)
& accountability(X0,X4,X8)
& accountability(X1,X5,X9)
& survival_chance(X0,X6,X8)
& survival_chance(X1,X7,X9)
& greater(X3,X2)
& greater(X5,X4) )
=> greater(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_FOL) ).
fof(f5,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(f6,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( organization(X0,X2)
& organization(X1,X3)
& reorganization_free(X0,X2,X2)
& reorganization_free(X1,X3,X3)
& reproducibility(X0,X4,X2)
& reproducibility(X1,X5,X3)
& inertia(X0,X6,X2)
& inertia(X1,X7,X3) )
=> ( greater(X5,X4)
<=> greater(X7,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL) ).
fof(f7,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( organization(X0,X2)
& organization(X1,X3)
& reorganization_free(X0,X2,X2)
& reorganization_free(X1,X3,X3)
& inertia(X0,X4,X2)
& inertia(X1,X5,X3)
& survival_chance(X0,X6,X2)
& survival_chance(X1,X7,X3)
& greater(X5,X4) )
=> greater(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( organization(X0,X2)
& organization(X1,X3)
& reorganization_free(X0,X2,X2)
& reorganization_free(X1,X3,X3)
& inertia(X0,X4,X2)
& inertia(X1,X5,X3)
& survival_chance(X0,X6,X2)
& survival_chance(X1,X7,X3)
& greater(X5,X4) )
=> greater(X7,X6) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( greater(X7,X6)
| ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ reliability(X0,X2,X8)
| ~ reliability(X1,X3,X9)
| ~ accountability(X0,X4,X8)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X0,X6,X8)
| ~ survival_chance(X1,X7,X9)
| ~ greater(X3,X2)
| ~ greater(X5,X4) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( greater(X7,X6)
| ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ reliability(X0,X2,X8)
| ~ reliability(X1,X3,X9)
| ~ accountability(X0,X4,X8)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X0,X6,X8)
| ~ survival_chance(X1,X7,X9)
| ~ greater(X3,X2)
| ~ greater(X5,X4) ),
inference(flattening,[],[f9]) ).
fof(f11,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,[],[f5]) ).
fof(f12,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,[],[f11]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( greater(X5,X4)
<=> greater(X7,X6) )
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reproducibility(X0,X4,X2)
| ~ reproducibility(X1,X5,X3)
| ~ inertia(X0,X6,X2)
| ~ inertia(X1,X7,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( greater(X5,X4)
<=> greater(X7,X6) )
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reproducibility(X0,X4,X2)
| ~ reproducibility(X1,X5,X3)
| ~ inertia(X0,X6,X2)
| ~ inertia(X1,X7,X3) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ greater(X7,X6)
& organization(X0,X2)
& organization(X1,X3)
& reorganization_free(X0,X2,X2)
& reorganization_free(X1,X3,X3)
& inertia(X0,X4,X2)
& inertia(X1,X5,X3)
& survival_chance(X0,X6,X2)
& survival_chance(X1,X7,X3)
& greater(X5,X4) ),
inference(ennf_transformation,[],[f8]) ).
fof(f16,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ greater(X7,X6)
& organization(X0,X2)
& organization(X1,X3)
& reorganization_free(X0,X2,X2)
& reorganization_free(X1,X3,X3)
& inertia(X0,X4,X2)
& inertia(X1,X5,X3)
& survival_chance(X0,X6,X2)
& survival_chance(X1,X7,X3)
& greater(X5,X4) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ? [X2] : reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f18,plain,
! [X0,X1] :
( ? [X2] : accountability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] : reproducibility(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f20,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,[],[f12]) ).
fof(f21,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,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( greater(X5,X4)
| ~ greater(X7,X6) )
& ( greater(X7,X6)
| ~ greater(X5,X4) ) )
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reproducibility(X0,X4,X2)
| ~ reproducibility(X1,X5,X3)
| ~ inertia(X0,X6,X2)
| ~ inertia(X1,X7,X3) ),
inference(nnf_transformation,[],[f14]) ).
fof(f23,plain,
( ~ greater(sK7,sK6)
& organization(sK0,sK2)
& organization(sK1,sK3)
& reorganization_free(sK0,sK2,sK2)
& reorganization_free(sK1,sK3,sK3)
& inertia(sK0,sK4,sK2)
& inertia(sK1,sK5,sK3)
& survival_chance(sK0,sK6,sK2)
& survival_chance(sK1,sK7,sK3)
& greater(sK5,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f16]) ).
fof(f24,plain,
! [X0,X1] :
( reliability(X0,sK8(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f17]) ).
fof(f25,plain,
! [X0,X1] :
( accountability(X0,sK9(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f18]) ).
fof(f26,plain,
! [X0,X1] :
( reproducibility(X0,sK10(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f19]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ survival_chance(X1,X7,X9)
| ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ reliability(X0,X2,X8)
| ~ reliability(X1,X3,X9)
| ~ accountability(X0,X4,X8)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X0,X6,X8)
| greater(X7,X6)
| ~ greater(X3,X2)
| ~ greater(X5,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ reproducibility(X1,X9,X3)
| ~ 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)
| greater(X7,X6) ),
inference(cnf_transformation,[],[f21]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ reproducibility(X1,X9,X3)
| ~ 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)
| greater(X5,X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ inertia(X1,X7,X3)
| ~ greater(X7,X6)
| ~ organization(X0,X2)
| ~ organization(X1,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reproducibility(X0,X4,X2)
| ~ reproducibility(X1,X5,X3)
| ~ inertia(X0,X6,X2)
| greater(X5,X4) ),
inference(cnf_transformation,[],[f22]) ).
fof(f33,plain,
greater(sK5,sK4),
inference(cnf_transformation,[],[f23]) ).
fof(f34,plain,
survival_chance(sK1,sK7,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f35,plain,
survival_chance(sK0,sK6,sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f36,plain,
inertia(sK1,sK5,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
inertia(sK0,sK4,sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
reorganization_free(sK1,sK3,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
reorganization_free(sK0,sK2,sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
organization(sK1,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
organization(sK0,sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
~ greater(sK7,sK6),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0,X1] :
( reliability(X0,sK8(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f44,plain,
! [X0,X1] :
( accountability(X0,sK9(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0,X1] :
( reproducibility(X0,sK10(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ greater(sK10(X0,X1),X2)
| ~ organization(X3,X4)
| ~ organization(X0,X1)
| ~ reliability(X3,X5,X4)
| ~ reliability(X0,X6,X1)
| ~ accountability(X3,X7,X4)
| ~ accountability(X0,X8,X1)
| ~ reproducibility(X3,X2,X4)
| greater(X8,X7)
| ~ organization(X0,X1) ),
inference(resolution,[],[f28,f45]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ greater(sK10(X0,X1),X2)
| ~ organization(X3,X4)
| ~ organization(X0,X1)
| ~ reliability(X3,X5,X4)
| ~ reliability(X0,X6,X1)
| ~ accountability(X3,X7,X4)
| ~ accountability(X0,X8,X1)
| ~ reproducibility(X3,X2,X4)
| greater(X8,X7) ),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ greater(sK10(X0,X1),X2)
| ~ organization(X3,X4)
| ~ organization(X0,X1)
| ~ reliability(X3,X5,X4)
| ~ reliability(X0,X6,X1)
| ~ accountability(X3,X7,X4)
| ~ accountability(X0,X8,X1)
| ~ reproducibility(X3,X2,X4)
| greater(X6,X5)
| ~ organization(X0,X1) ),
inference(resolution,[],[f29,f45]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ greater(sK10(X0,X1),X2)
| ~ organization(X3,X4)
| ~ organization(X0,X1)
| ~ reliability(X3,X5,X4)
| ~ reliability(X0,X6,X1)
| ~ accountability(X3,X7,X4)
| ~ accountability(X0,X8,X1)
| ~ reproducibility(X3,X2,X4)
| greater(X6,X5) ),
inference(duplicate_literal_removal,[],[f52]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(sK5,X0)
| ~ organization(X1,X2)
| ~ organization(sK1,sK3)
| ~ reorganization_free(X1,X2,X2)
| ~ reorganization_free(sK1,sK3,sK3)
| ~ reproducibility(X1,X3,X2)
| ~ reproducibility(sK1,X4,sK3)
| ~ inertia(X1,X0,X2)
| greater(X4,X3) ),
inference(resolution,[],[f32,f36]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(sK5,X0)
| ~ organization(X1,X2)
| ~ reorganization_free(X1,X2,X2)
| ~ reorganization_free(sK1,sK3,sK3)
| ~ reproducibility(X1,X3,X2)
| ~ reproducibility(sK1,X4,sK3)
| ~ inertia(X1,X0,X2)
| greater(X4,X3) ),
inference(forward_subsumption_resolution,[],[f75,f40]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4] :
( ~ inertia(X1,X0,X2)
| ~ organization(X1,X2)
| ~ reorganization_free(X1,X2,X2)
| ~ reproducibility(X1,X3,X2)
| ~ reproducibility(sK1,X4,sK3)
| ~ greater(sK5,X0)
| greater(X4,X3) ),
inference(forward_subsumption_resolution,[],[f80,f38]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ organization(X0,X1)
| ~ organization(sK1,sK3)
| ~ reliability(X0,X2,X1)
| ~ reliability(sK1,X3,sK3)
| ~ accountability(X0,X4,X1)
| ~ accountability(sK1,X5,sK3)
| ~ survival_chance(X0,X6,X1)
| greater(sK7,X6)
| ~ greater(X3,X2)
| ~ greater(X5,X4) ),
inference(resolution,[],[f27,f34]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ survival_chance(X0,X6,X1)
| ~ reliability(X0,X2,X1)
| ~ reliability(sK1,X3,sK3)
| ~ accountability(X0,X4,X1)
| ~ accountability(sK1,X5,sK3)
| ~ organization(X0,X1)
| greater(sK7,X6)
| ~ greater(X3,X2)
| ~ greater(X5,X4) ),
inference(forward_subsumption_resolution,[],[f85,f40]) ).
fof(f113,plain,
! [X0,X1] :
( ~ organization(sK0,sK2)
| ~ reorganization_free(sK0,sK2,sK2)
| ~ reproducibility(sK0,X0,sK2)
| ~ reproducibility(sK1,X1,sK3)
| ~ greater(sK5,sK4)
| greater(X1,X0) ),
inference(resolution,[],[f82,f37]) ).
fof(f114,plain,
! [X0,X1] :
( ~ reorganization_free(sK0,sK2,sK2)
| ~ reproducibility(sK0,X0,sK2)
| ~ reproducibility(sK1,X1,sK3)
| ~ greater(sK5,sK4)
| greater(X1,X0) ),
inference(forward_subsumption_resolution,[],[f113,f41]) ).
fof(f116,plain,
! [X0,X1] :
( ~ reproducibility(sK0,X0,sK2)
| ~ reproducibility(sK1,X1,sK3)
| ~ greater(sK5,sK4)
| greater(X1,X0) ),
inference(forward_subsumption_resolution,[],[f114,f39]) ).
fof(f118,plain,
! [X0,X1] :
( ~ reproducibility(sK1,X1,sK3)
| ~ reproducibility(sK0,X0,sK2)
| greater(X1,X0) ),
inference(forward_subsumption_resolution,[],[f116,f33]) ).
fof(f119,plain,
! [X0] :
( ~ reproducibility(sK0,X0,sK2)
| greater(sK10(sK1,sK3),X0)
| ~ organization(sK1,sK3) ),
inference(resolution,[],[f118,f45]) ).
fof(f120,plain,
! [X0] :
( greater(sK10(sK1,sK3),X0)
| ~ reproducibility(sK0,X0,sK2) ),
inference(forward_subsumption_resolution,[],[f119,f40]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( ~ reliability(sK0,X0,sK2)
| ~ reliability(sK1,X1,sK3)
| ~ accountability(sK0,X2,sK2)
| ~ accountability(sK1,X3,sK3)
| ~ organization(sK0,sK2)
| greater(sK7,sK6)
| ~ greater(X1,X0)
| ~ greater(X3,X2) ),
inference(resolution,[],[f90,f35]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ reliability(sK0,X0,sK2)
| ~ reliability(sK1,X1,sK3)
| ~ accountability(sK0,X2,sK2)
| ~ accountability(sK1,X3,sK3)
| greater(sK7,sK6)
| ~ greater(X1,X0)
| ~ greater(X3,X2) ),
inference(forward_subsumption_resolution,[],[f131,f41]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ accountability(sK1,X3,sK3)
| ~ reliability(sK1,X1,sK3)
| ~ accountability(sK0,X2,sK2)
| ~ reliability(sK0,X0,sK2)
| ~ greater(X1,X0)
| ~ greater(X3,X2) ),
inference(forward_subsumption_resolution,[],[f132,f42]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ organization(X0,X1)
| ~ organization(sK1,sK3)
| ~ reliability(X0,X2,X1)
| ~ reliability(sK1,X3,sK3)
| ~ accountability(X0,X4,X1)
| ~ accountability(sK1,X5,sK3)
| ~ reproducibility(X0,X6,X1)
| greater(X5,X4)
| ~ reproducibility(sK0,X6,sK2) ),
inference(resolution,[],[f49,f120]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ reproducibility(sK0,X6,sK2)
| ~ reliability(X0,X2,X1)
| ~ reliability(sK1,X3,sK3)
| ~ accountability(X0,X4,X1)
| ~ accountability(sK1,X5,sK3)
| ~ reproducibility(X0,X6,X1)
| greater(X5,X4)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[],[f167,f40]) ).
fof(f175,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ organization(X0,X1)
| ~ organization(sK1,sK3)
| ~ reliability(X0,X2,X1)
| ~ reliability(sK1,X3,sK3)
| ~ accountability(X0,X4,X1)
| ~ accountability(sK1,X5,sK3)
| ~ reproducibility(X0,X6,X1)
| greater(X3,X2)
| ~ reproducibility(sK0,X6,sK2) ),
inference(resolution,[],[f55,f120]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ reproducibility(sK0,X6,sK2)
| ~ reliability(X0,X2,X1)
| ~ reliability(sK1,X3,sK3)
| ~ accountability(X0,X4,X1)
| ~ accountability(sK1,X5,sK3)
| ~ reproducibility(X0,X6,X1)
| greater(X3,X2)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[],[f175,f40]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ reliability(sK1,X0,sK3)
| ~ accountability(sK0,X1,sK2)
| ~ reliability(sK0,X2,sK2)
| ~ greater(X0,X2)
| ~ greater(sK9(sK1,sK3),X1)
| ~ organization(sK1,sK3) ),
inference(resolution,[],[f134,f44]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ greater(sK9(sK1,sK3),X1)
| ~ accountability(sK0,X1,sK2)
| ~ reliability(sK0,X2,sK2)
| ~ greater(X0,X2)
| ~ reliability(sK1,X0,sK3) ),
inference(forward_subsumption_resolution,[],[f232,f40]) ).
fof(f428,plain,
! [X2,X3,X0,X1,X4] :
( ~ reproducibility(sK0,X0,sK2)
| ~ reliability(sK0,X1,sK2)
| ~ reliability(sK1,X2,sK3)
| ~ accountability(sK0,X3,sK2)
| ~ accountability(sK1,X4,sK3)
| greater(X4,X3)
| ~ organization(sK0,sK2) ),
inference(factoring,[],[f172]) ).
fof(f429,plain,
! [X2,X3,X0,X1,X4] :
( ~ reproducibility(sK0,X0,sK2)
| ~ reliability(sK0,X1,sK2)
| ~ reliability(sK1,X2,sK3)
| ~ accountability(sK0,X3,sK2)
| ~ accountability(sK1,X4,sK3)
| greater(X4,X3) ),
inference(forward_subsumption_resolution,[],[f428,f41]) ).
fof(f436,plain,
! [X2,X3,X0,X1,X4] :
( ~ reproducibility(sK0,X0,sK2)
| ~ reliability(sK0,X1,sK2)
| ~ reliability(sK1,X2,sK3)
| ~ accountability(sK0,X3,sK2)
| ~ accountability(sK1,X4,sK3)
| greater(X2,X1)
| ~ organization(sK0,sK2) ),
inference(factoring,[],[f180]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X4] :
( ~ reproducibility(sK0,X0,sK2)
| ~ reliability(sK0,X1,sK2)
| ~ reliability(sK1,X2,sK3)
| ~ accountability(sK0,X3,sK2)
| ~ accountability(sK1,X4,sK3)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[],[f436,f41]) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( ~ reliability(sK0,X0,sK2)
| ~ reliability(sK1,X1,sK3)
| ~ accountability(sK0,X2,sK2)
| ~ accountability(sK1,X3,sK3)
| greater(X3,X2)
| ~ organization(sK0,sK2) ),
inference(resolution,[],[f429,f45]) ).
fof(f442,plain,
! [X2,X3,X0,X1] :
( ~ accountability(sK1,X3,sK3)
| ~ reliability(sK1,X1,sK3)
| ~ accountability(sK0,X2,sK2)
| ~ reliability(sK0,X0,sK2)
| greater(X3,X2) ),
inference(forward_subsumption_resolution,[],[f441,f41]) ).
fof(f443,plain,
! [X2,X0,X1] :
( ~ reliability(sK1,X0,sK3)
| ~ accountability(sK0,X1,sK2)
| ~ reliability(sK0,X2,sK2)
| greater(sK9(sK1,sK3),X1)
| ~ organization(sK1,sK3) ),
inference(resolution,[],[f442,f44]) ).
fof(f444,plain,
! [X2,X0,X1] :
( greater(sK9(sK1,sK3),X1)
| ~ accountability(sK0,X1,sK2)
| ~ reliability(sK0,X2,sK2)
| ~ reliability(sK1,X0,sK3) ),
inference(forward_subsumption_resolution,[],[f443,f40]) ).
fof(f446,plain,
! [X2,X3,X0,X1,X4] :
( ~ accountability(sK0,X0,sK2)
| ~ reliability(sK0,X1,sK2)
| ~ reliability(sK1,X2,sK3)
| ~ accountability(sK0,X0,sK2)
| ~ reliability(sK0,X3,sK2)
| ~ greater(X4,X3)
| ~ reliability(sK1,X4,sK3) ),
inference(resolution,[],[f444,f233]) ).
fof(f455,plain,
! [X2,X3,X0,X1,X4] :
( ~ accountability(sK0,X0,sK2)
| ~ reliability(sK0,X1,sK2)
| ~ reliability(sK1,X2,sK3)
| ~ reliability(sK0,X3,sK2)
| ~ greater(X4,X3)
| ~ reliability(sK1,X4,sK3) ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f456,plain,
! [X2,X3,X0,X1] :
( ~ reliability(sK0,X0,sK2)
| ~ reliability(sK1,X1,sK3)
| ~ accountability(sK0,X2,sK2)
| ~ accountability(sK1,X3,sK3)
| greater(X1,X0)
| ~ organization(sK0,sK2) ),
inference(resolution,[],[f437,f45]) ).
fof(f457,plain,
! [X2,X3,X0,X1] :
( ~ accountability(sK1,X3,sK3)
| ~ reliability(sK1,X1,sK3)
| ~ accountability(sK0,X2,sK2)
| ~ reliability(sK0,X0,sK2)
| greater(X1,X0) ),
inference(forward_subsumption_resolution,[],[f456,f41]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ~ reliability(sK1,X0,sK3)
| ~ accountability(sK0,X1,sK2)
| ~ reliability(sK0,X2,sK2)
| greater(X0,X2)
| ~ organization(sK1,sK3) ),
inference(resolution,[],[f457,f44]) ).
fof(f462,plain,
! [X2,X0,X1] :
( ~ accountability(sK0,X1,sK2)
| ~ reliability(sK1,X0,sK3)
| ~ reliability(sK0,X2,sK2)
| greater(X0,X2) ),
inference(forward_subsumption_resolution,[],[f461,f40]) ).
fof(f501,plain,
! [X2,X3,X0,X1,X4] :
( ~ accountability(sK0,X0,sK2)
| ~ reliability(sK0,X1,sK2)
| ~ reliability(sK1,X2,sK3)
| ~ reliability(sK0,X3,sK2)
| ~ reliability(sK1,X4,sK3) ),
inference(forward_subsumption_resolution,[],[f455,f462]) ).
fof(f506,plain,
! [X2,X3,X0,X1] :
( ~ reliability(sK0,X0,sK2)
| ~ reliability(sK1,X1,sK3)
| ~ reliability(sK0,X2,sK2)
| ~ reliability(sK1,X3,sK3)
| ~ organization(sK0,sK2) ),
inference(resolution,[],[f501,f44]) ).
fof(f507,plain,
! [X2,X3,X0,X1] :
( ~ reliability(sK1,X3,sK3)
| ~ reliability(sK1,X1,sK3)
| ~ reliability(sK0,X2,sK2)
| ~ reliability(sK0,X0,sK2) ),
inference(forward_subsumption_resolution,[],[f506,f41]) ).
fof(f509,plain,
! [X2,X0,X1] :
( ~ reliability(sK1,X0,sK3)
| ~ reliability(sK0,X1,sK2)
| ~ reliability(sK0,X2,sK2) ),
inference(factoring,[],[f507]) ).
fof(f517,plain,
! [X0,X1] :
( ~ reliability(sK0,X0,sK2)
| ~ reliability(sK0,X1,sK2)
| ~ organization(sK1,sK3) ),
inference(resolution,[],[f509,f43]) ).
fof(f518,plain,
! [X0,X1] :
( ~ reliability(sK0,X1,sK2)
| ~ reliability(sK0,X0,sK2) ),
inference(forward_subsumption_resolution,[],[f517,f40]) ).
fof(f520,plain,
! [X0] : ~ reliability(sK0,X0,sK2),
inference(factoring,[],[f518]) ).
fof(f522,plain,
~ organization(sK0,sK2),
inference(resolution,[],[f520,f43]) ).
fof(f523,plain,
$false,
inference(forward_subsumption_resolution,[],[f522,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT001+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 % Computer : n017.cluster.edu
% 0.12/0.44 % Model : x86_64 x86_64
% 0.12/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.44 % Memory : 8046.5625MB
% 0.12/0.44 % OS : Linux 6.8.0-71-generic
% 0.12/0.44 % CPULimit : 300
% 0.12/0.44 % WCLimit : 300
% 0.12/0.44 % DateTime : Sun Sep 27 17:10:51 UTC 2026
% 0.12/0.45 % CPUTime :
% 0.12/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 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
% 0.74/1.45 % (2816176)Detected formulas, will run a generic FOF schedule.
% 0.74/1.45 % (2816196)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1451316996:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.74/1.45 % (2816198)dis-21_1_sil=8000:lcm=predicate:random_seed=803236625: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)
% 0.74/1.45 % (2816196)First to succeed.
% 0.74/1.45 % (2816196)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2816176"
% 0.74/1.45 % (2816198)Also succeeded, but the first one will report.
% 0.74/1.45 % (2816194)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=1345171819:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.74/1.45 % (2816193)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=3889801843:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.74/1.45 % (2816192)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=1826135461:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.74/1.45 % (2816195)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1458694338:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.74/1.45 % (2816197)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=329582286:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.74/1.45 % (2816197)Also succeeded, but the first one will report.
% 0.74/1.45 % (2816195)Also succeeded, but the first one will report.
% 0.74/1.45 % (2816196)Refutation found. Thanks to Tanya!
% 0.74/1.45 % SZS status Theorem for theBenchmark
% 0.74/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.68 % (2816196)------------------------------
% 3.67/1.68 % (2816196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.68 % (2816196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.68 % (2816196)CaDiCaL version: 2.1.3
% 3.67/1.68 % (2816196)Termination reason: Refutation
% 3.67/1.68 % (2816196)Time elapsed: 0.024 s
% 3.67/1.68 % (2816196)Peak memory usage: 88 MB
% 3.67/1.68 % (2816196)Instructions burned: 55 (million)
% 3.67/1.68 % (2816196)------------------------------
% 3.67/1.68 % (2816196)------------------------------
% 3.67/1.68 % (2816176)Success in time 0.417 s
% 3.67/1.68 % Vampire exiting
%------------------------------------------------------------------------------