%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT004+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 : n019.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 12:01:57 PM UTC 2026
% Result : Theorem 2.87s 1.27s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 20
% Syntax : Number of formulae : 127 ( 12 unt; 15 def)
% Number of atoms : 660 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 961 ( 428 ~; 453 |; 59 &)
% ( 15 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 465 ( 447 !; 18 ?)
% 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,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(f4,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( organization(X0,X5)
& organization(X0,X6)
& reorganization(X0,X7,X8)
& reliability(X0,X1,X5)
& reliability(X0,X2,X6)
& accountability(X0,X3,X5)
& accountability(X0,X4,X6)
& ~ greater(X7,X5)
& greater(X6,X5)
& ~ greater(X6,X8) )
=> ( greater(X1,X2)
& greater(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL) ).
fof(f5,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( organization(X0,X3)
& organization(X0,X4)
& reorganization(X0,X5,X6)
& survival_chance(X0,X1,X3)
& survival_chance(X0,X2,X4)
& ~ greater(X5,X3)
& greater(X4,X3)
& ~ greater(X4,X6) )
=> greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL) ).
fof(f6,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( organization(X0,X3)
& organization(X0,X4)
& reorganization(X0,X5,X6)
& survival_chance(X0,X1,X3)
& survival_chance(X0,X2,X4)
& ~ greater(X5,X3)
& greater(X4,X3)
& ~ greater(X4,X6) )
=> greater(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,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,[],[f3]) ).
fof(f8,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,[],[f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X1,X2)
& greater(X3,X4) )
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X1,X2)
& greater(X3,X4) )
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ greater(X1,X2)
& organization(X0,X3)
& organization(X0,X4)
& reorganization(X0,X5,X6)
& survival_chance(X0,X1,X3)
& survival_chance(X0,X2,X4)
& ~ greater(X5,X3)
& greater(X4,X3)
& ~ greater(X4,X6) ),
inference(ennf_transformation,[],[f6]) ).
fof(f12,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ greater(X1,X2)
& organization(X0,X3)
& organization(X0,X4)
& reorganization(X0,X5,X6)
& survival_chance(X0,X1,X3)
& survival_chance(X0,X2,X4)
& ~ greater(X5,X3)
& greater(X4,X3)
& ~ greater(X4,X6) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ? [X2] : reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0,X1] :
( ? [X2] : accountability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f15,plain,
( ~ greater(sK1,sK2)
& organization(sK0,sK3)
& organization(sK0,sK4)
& reorganization(sK0,sK5,sK6)
& survival_chance(sK0,sK1,sK3)
& survival_chance(sK0,sK2,sK4)
& ~ greater(sK5,sK3)
& greater(sK4,sK3)
& ~ greater(sK4,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f12]) ).
fof(f16,plain,
! [X0,X1] :
( reliability(X0,sK7(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( accountability(X0,sK8(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f14]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( 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(cnf_transformation,[],[f8]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X3,X4)
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X1,X2)
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
~ greater(sK4,sK6),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
greater(sK4,sK3),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
~ greater(sK5,sK3),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
survival_chance(sK0,sK2,sK4),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
survival_chance(sK0,sK1,sK3),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
reorganization(sK0,sK5,sK6),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
organization(sK0,sK4),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
organization(sK0,sK3),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
~ greater(sK1,sK2),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X0,X1] :
( reliability(X0,sK7(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0,X1] :
( accountability(X0,sK8(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X2,X3,X0,X8] :
( ~ reliability(X0,X2,X8)
| ~ greater(X3,X2)
| sP9(X3,X0,X8) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,definition,
! [X8,X0,X3] :
( ! [X2] :
( ~ reliability(X0,X2,X8)
| ~ greater(X3,X2) )
<=> ~ sP9(X3,X0,X8) ),
introduced(definition,[new_symbols(definition,[sP9])],[general_splitting_component_introduction]) ).
fof(f33,plain,
! [X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( greater(X7,X6)
| ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ reliability(X1,X3,X9)
| ~ accountability(X0,X4,X8)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X0,X6,X8)
| ~ survival_chance(X1,X7,X9)
| ~ greater(X5,X4)
| ~ sP9(X3,X0,X8) ),
inference(general_splitting,[],[f18,f32_D]) ).
fof(f34,plain,
! [X0,X8,X6,X7] :
( ~ survival_chance(X0,X6,X8)
| greater(X7,X6)
| sP10(X0,X8,X7) ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,definition,
! [X7,X8,X0] :
( ! [X6] :
( ~ survival_chance(X0,X6,X8)
| greater(X7,X6) )
<=> ~ sP10(X0,X8,X7) ),
introduced(definition,[new_symbols(definition,[sP10])],[general_splitting_component_introduction]) ).
fof(f35,plain,
! [X3,X0,X1,X8,X9,X7,X4,X5] :
( ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ reliability(X1,X3,X9)
| ~ accountability(X0,X4,X8)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X1,X7,X9)
| ~ greater(X5,X4)
| ~ sP9(X3,X0,X8)
| ~ sP10(X0,X8,X7) ),
inference(general_splitting,[],[f33,f34_D]) ).
fof(f36,plain,
! [X0,X8,X4,X5] :
( ~ accountability(X0,X4,X8)
| ~ greater(X5,X4)
| sP11(X5,X0,X8) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,definition,
! [X8,X0,X5] :
( ! [X4] :
( ~ accountability(X0,X4,X8)
| ~ greater(X5,X4) )
<=> ~ sP11(X5,X0,X8) ),
introduced(definition,[new_symbols(definition,[sP11])],[general_splitting_component_introduction]) ).
fof(f37,plain,
! [X3,X0,X1,X8,X9,X7,X5] :
( ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ reliability(X1,X3,X9)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X1,X7,X9)
| ~ sP9(X3,X0,X8)
| ~ sP10(X0,X8,X7)
| ~ sP11(X5,X0,X8) ),
inference(general_splitting,[],[f35,f36_D]) ).
fof(f38,plain,
! [X3,X0,X1,X8,X9] :
( sP12(X0,X8,X9,X1)
| ~ sP9(X3,X0,X8)
| ~ reliability(X1,X3,X9) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,definition,
! [X1,X9,X8,X0] :
( ! [X3] :
( ~ sP9(X3,X0,X8)
| ~ reliability(X1,X3,X9) )
<=> ~ sP12(X0,X8,X9,X1) ),
introduced(definition,[new_symbols(definition,[sP12])],[general_splitting_component_introduction]) ).
fof(f39,plain,
! [X0,X1,X8,X9,X7,X5] :
( ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X1,X7,X9)
| ~ sP10(X0,X8,X7)
| ~ sP11(X5,X0,X8)
| ~ sP12(X0,X8,X9,X1) ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f40,plain,
! [X0,X1,X8,X9,X7] :
( sP13(X0,X8,X9,X1)
| ~ sP10(X0,X8,X7)
| ~ survival_chance(X1,X7,X9) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,definition,
! [X1,X9,X8,X0] :
( ! [X7] :
( ~ sP10(X0,X8,X7)
| ~ survival_chance(X1,X7,X9) )
<=> ~ sP13(X0,X8,X9,X1) ),
introduced(definition,[new_symbols(definition,[sP13])],[general_splitting_component_introduction]) ).
fof(f41,plain,
! [X0,X1,X8,X9,X5] :
( ~ sP13(X0,X8,X9,X1)
| ~ organization(X1,X9)
| ~ accountability(X1,X5,X9)
| ~ sP11(X5,X0,X8)
| ~ sP12(X0,X8,X9,X1)
| ~ organization(X0,X8) ),
inference(general_splitting,[],[f39,f40_D]) ).
fof(f42,plain,
! [X3,X0,X5] :
( ~ accountability(X0,X3,X5)
| sP14(X0,X5) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,definition,
! [X5,X0] :
( ! [X3] : ~ accountability(X0,X3,X5)
<=> ~ sP14(X0,X5) ),
introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).
fof(f43,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] :
( greater(X1,X2)
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8)
| ~ sP14(X0,X5) ),
inference(general_splitting,[],[f20,f42_D]) ).
fof(f44,plain,
! [X0,X6,X4] :
( ~ accountability(X0,X4,X6)
| sP15(X6,X0) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,definition,
! [X0,X6] :
( ! [X4] : ~ accountability(X0,X4,X6)
<=> ~ sP15(X6,X0) ),
introduced(definition,[new_symbols(definition,[sP15])],[general_splitting_component_introduction]) ).
fof(f45,plain,
! [X2,X0,X1,X8,X6,X7,X5] :
( greater(X1,X2)
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8)
| ~ sP14(X0,X5)
| ~ sP15(X6,X0) ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f46,plain,
! [X2,X0,X1,X6] :
( ~ reliability(X0,X2,X6)
| greater(X1,X2)
| sP16(X6,X0,X1) ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,definition,
! [X1,X0,X6] :
( ! [X2] :
( ~ reliability(X0,X2,X6)
| greater(X1,X2) )
<=> ~ sP16(X6,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP16])],[general_splitting_component_introduction]) ).
fof(f47,plain,
! [X0,X1,X8,X6,X7,X5] :
( ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8)
| ~ sP14(X0,X5)
| ~ sP15(X6,X0)
| ~ sP16(X6,X0,X1) ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f48,plain,
! [X0,X1,X6,X5] :
( ~ sP16(X6,X0,X1)
| ~ reliability(X0,X1,X5)
| sP17(X6,X0,X5) ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,definition,
! [X5,X0,X6] :
( ! [X1] :
( ~ sP16(X6,X0,X1)
| ~ reliability(X0,X1,X5) )
<=> ~ sP17(X6,X0,X5) ),
introduced(definition,[new_symbols(definition,[sP17])],[general_splitting_component_introduction]) ).
fof(f49,plain,
! [X0,X8,X6,X7,X5] :
( ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8)
| ~ sP14(X0,X5)
| ~ sP15(X6,X0)
| ~ sP17(X6,X0,X5) ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f50,plain,
! [X0,X8,X6,X7] :
( ~ reorganization(X0,X7,X8)
| greater(X6,X8)
| sP18(X6,X0,X7) ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,definition,
! [X7,X0,X6] :
( ! [X8] :
( ~ reorganization(X0,X7,X8)
| greater(X6,X8) )
<=> ~ sP18(X6,X0,X7) ),
introduced(definition,[new_symbols(definition,[sP18])],[general_splitting_component_introduction]) ).
fof(f51,plain,
! [X0,X6,X7,X5] :
( ~ sP18(X6,X0,X7)
| ~ organization(X0,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| ~ sP14(X0,X5)
| ~ sP15(X6,X0)
| ~ sP17(X6,X0,X5)
| ~ organization(X0,X5) ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f52,plain,
! [X2,X0,X6] :
( ~ reliability(X0,X2,X6)
| sP19(X0,X6) ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,definition,
! [X6,X0] :
( ! [X2] : ~ reliability(X0,X2,X6)
<=> ~ sP19(X0,X6) ),
introduced(definition,[new_symbols(definition,[sP19])],[general_splitting_component_introduction]) ).
fof(f53,plain,
! [X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X3,X4)
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8)
| ~ sP19(X0,X6) ),
inference(general_splitting,[],[f19,f52_D]) ).
fof(f54,plain,
! [X0,X1,X5] :
( ~ reliability(X0,X1,X5)
| sP20(X0,X5) ),
inference(cnf_transformation,[],[f54_D]) ).
fof(f54_D,definition,
! [X5,X0] :
( ! [X1] : ~ reliability(X0,X1,X5)
<=> ~ sP20(X0,X5) ),
introduced(definition,[new_symbols(definition,[sP20])],[general_splitting_component_introduction]) ).
fof(f55,plain,
! [X3,X0,X8,X6,X7,X4,X5] :
( greater(X3,X4)
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8)
| ~ sP19(X0,X6)
| ~ sP20(X0,X5) ),
inference(general_splitting,[],[f53,f54_D]) ).
fof(f56,plain,
! [X3,X0,X4,X5] :
( ~ accountability(X0,X3,X5)
| greater(X3,X4)
| sP21(X4,X0,X5) ),
inference(cnf_transformation,[],[f56_D]) ).
fof(f56_D,definition,
! [X5,X0,X4] :
( ! [X3] :
( ~ accountability(X0,X3,X5)
| greater(X3,X4) )
<=> ~ sP21(X4,X0,X5) ),
introduced(definition,[new_symbols(definition,[sP21])],[general_splitting_component_introduction]) ).
fof(f57,plain,
! [X0,X8,X6,X7,X4,X5] :
( ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8)
| ~ sP19(X0,X6)
| ~ sP20(X0,X5)
| ~ sP21(X4,X0,X5) ),
inference(general_splitting,[],[f55,f56_D]) ).
fof(f58,plain,
! [X0,X8,X6,X7] :
( ~ reorganization(X0,X7,X8)
| greater(X6,X8)
| sP22(X6,X0,X7) ),
inference(cnf_transformation,[],[f58_D]) ).
fof(f58_D,definition,
! [X7,X0,X6] :
( ! [X8] :
( ~ reorganization(X0,X7,X8)
| greater(X6,X8) )
<=> ~ sP22(X6,X0,X7) ),
introduced(definition,[new_symbols(definition,[sP22])],[general_splitting_component_introduction]) ).
fof(f59,plain,
! [X0,X6,X7,X4,X5] :
( ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| ~ sP19(X0,X6)
| ~ sP20(X0,X5)
| ~ sP21(X4,X0,X5)
| ~ sP22(X6,X0,X7) ),
inference(general_splitting,[],[f57,f58_D]) ).
fof(f60,plain,
! [X0,X6,X7,X5] :
( ~ sP22(X6,X0,X7)
| greater(X7,X5)
| sP23(X6,X0,X5) ),
inference(cnf_transformation,[],[f60_D]) ).
fof(f60_D,definition,
! [X5,X0,X6] :
( ! [X7] :
( ~ sP22(X6,X0,X7)
| greater(X7,X5) )
<=> ~ sP23(X6,X0,X5) ),
introduced(definition,[new_symbols(definition,[sP23])],[general_splitting_component_introduction]) ).
fof(f61,plain,
! [X0,X6,X4,X5] :
( ~ sP23(X6,X0,X5)
| ~ organization(X0,X6)
| ~ accountability(X0,X4,X6)
| ~ greater(X6,X5)
| ~ sP19(X0,X6)
| ~ sP20(X0,X5)
| ~ sP21(X4,X0,X5)
| ~ organization(X0,X5) ),
inference(general_splitting,[],[f59,f60_D]) ).
fof(f62,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| sP14(X0,X1) ),
inference(resolution,[],[f42,f31]) ).
fof(f65,plain,
! [X0,X1] :
( ~ organization(X1,X0)
| sP15(X0,X1) ),
inference(resolution,[],[f44,f31]) ).
fof(f66,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| sP19(X0,X1) ),
inference(resolution,[],[f52,f30]) ).
fof(f67,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| sP20(X0,X1) ),
inference(resolution,[],[f54,f30]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ greater(X0,sK7(X1,X2))
| sP9(X0,X1,X2)
| ~ organization(X1,X2) ),
inference(resolution,[],[f32,f30]) ).
fof(f71,plain,
! [X0] :
( sP10(sK0,sK4,X0)
| greater(X0,sK2) ),
inference(resolution,[],[f34,f24]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ greater(X0,sK8(X1,X2))
| sP11(X0,X1,X2)
| ~ organization(X1,X2) ),
inference(resolution,[],[f36,f31]) ).
fof(f74,plain,
! [X2,X0,X1] :
( greater(X0,sK7(X1,X2))
| sP16(X2,X1,X0)
| ~ organization(X1,X2) ),
inference(resolution,[],[f46,f30]) ).
fof(f75,plain,
! [X0] :
( sP18(X0,sK0,sK5)
| greater(X0,sK6) ),
inference(resolution,[],[f50,f26]) ).
fof(f76,plain,
! [X2,X0,X1] :
( greater(sK8(X0,X1),X2)
| sP21(X2,X0,X1)
| ~ organization(X0,X1) ),
inference(resolution,[],[f56,f31]) ).
fof(f79,plain,
! [X0] :
( sP22(X0,sK0,sK5)
| greater(X0,sK6) ),
inference(resolution,[],[f58,f26]) ).
fof(f80,plain,
! [X0,X1] :
( sP23(X0,sK0,X1)
| greater(sK5,X1)
| greater(X0,sK6) ),
inference(resolution,[],[f79,f60]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP12(X3,X4,X1,X0)
| ~ accountability(X0,X2,X1)
| ~ sP11(X2,X3,X4)
| ~ organization(X0,X1)
| ~ organization(X3,X4)
| ~ sP10(X3,X4,X5)
| ~ survival_chance(X0,X5,X1) ),
inference(resolution,[],[f41,f40]) ).
fof(f84,plain,
! [X0,X1] :
( ~ organization(sK0,X0)
| greater(sK5,X1)
| ~ greater(X0,X1)
| ~ sP14(sK0,X1)
| ~ sP15(X0,sK0)
| ~ sP17(X0,sK0,X1)
| ~ organization(sK0,X1)
| greater(X0,sK6) ),
inference(resolution,[],[f51,f75]) ).
fof(f85,plain,
! [X0,X1] :
( ~ organization(sK0,X0)
| greater(sK5,X1)
| ~ greater(X0,X1)
| ~ sP15(X0,sK0)
| ~ sP17(X0,sK0,X1)
| ~ organization(sK0,X1)
| greater(X0,sK6) ),
inference(forward_subsumption_resolution,[],[f84,f62]) ).
fof(f86,plain,
! [X0,X1] :
( ~ sP17(X0,sK0,X1)
| greater(sK5,X1)
| ~ greater(X0,X1)
| ~ organization(sK0,X0)
| ~ organization(sK0,X1)
| greater(X0,sK6) ),
inference(forward_subsumption_resolution,[],[f85,f65]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ organization(sK0,X0)
| ~ accountability(sK0,X1,X0)
| ~ greater(X0,X2)
| ~ sP19(sK0,X0)
| ~ sP20(sK0,X2)
| ~ sP21(X1,sK0,X2)
| ~ organization(sK0,X2)
| greater(sK5,X2)
| greater(X0,sK6) ),
inference(resolution,[],[f61,f80]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ organization(sK0,X0)
| ~ accountability(sK0,X1,X0)
| ~ greater(X0,X2)
| ~ sP20(sK0,X2)
| ~ sP21(X1,sK0,X2)
| ~ organization(sK0,X2)
| greater(sK5,X2)
| greater(X0,sK6) ),
inference(forward_subsumption_resolution,[],[f87,f66]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ sP21(X1,sK0,X2)
| ~ accountability(sK0,X1,X0)
| ~ greater(X0,X2)
| ~ organization(sK0,X0)
| ~ organization(sK0,X2)
| greater(sK5,X2)
| greater(X0,sK6) ),
inference(forward_subsumption_resolution,[],[f88,f67]) ).
fof(f90,plain,
! [X2,X0,X1] :
( sP16(X0,X1,X2)
| ~ organization(X1,X0)
| sP9(X2,X1,X0)
| ~ organization(X1,X0) ),
inference(resolution,[],[f74,f70]) ).
fof(f91,plain,
! [X2,X0,X1] :
( sP16(X0,X1,X2)
| ~ organization(X1,X0)
| sP9(X2,X1,X0) ),
inference(duplicate_literal_removal,[],[f90]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( sP21(sK8(X0,X1),X2,X3)
| ~ organization(X2,X3)
| sP11(sK8(X2,X3),X0,X1)
| ~ organization(X0,X1) ),
inference(resolution,[],[f76,f73]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( ~ reliability(X0,X2,X3)
| sP9(X2,X0,X1)
| ~ organization(X0,X1)
| sP17(X1,X0,X3) ),
inference(resolution,[],[f91,f48]) ).
fof(f95,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP11(X1,X3,X4)
| ~ accountability(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X3,X4)
| ~ sP10(X3,X4,X5)
| ~ survival_chance(X0,X5,X2)
| ~ sP9(X6,X3,X4)
| ~ reliability(X0,X6,X2) ),
inference(resolution,[],[f83,f38]) ).
fof(f96,plain,
! [X2,X0,X1] :
( sP9(sK7(X0,X1),X0,X2)
| ~ organization(X0,X2)
| sP17(X2,X0,X1)
| ~ organization(X0,X1) ),
inference(resolution,[],[f94,f30]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( ~ organization(sK0,X0)
| sP11(sK8(sK0,X0),X1,X2)
| ~ organization(X1,X2)
| ~ accountability(sK0,sK8(X1,X2),X3)
| ~ greater(X3,X0)
| ~ organization(sK0,X3)
| ~ organization(sK0,X0)
| greater(sK5,X0)
| greater(X3,sK6) ),
inference(resolution,[],[f93,f89]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( ~ accountability(sK0,sK8(X1,X2),X3)
| sP11(sK8(sK0,X0),X1,X2)
| ~ organization(X1,X2)
| ~ organization(sK0,X0)
| ~ greater(X3,X0)
| ~ organization(sK0,X3)
| greater(sK5,X0)
| greater(X3,sK6) ),
inference(duplicate_literal_removal,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( sP11(sK8(sK0,X0),sK0,X1)
| ~ organization(sK0,X1)
| ~ organization(sK0,X0)
| ~ greater(X1,X0)
| ~ organization(sK0,X1)
| greater(sK5,X0)
| greater(X1,sK6)
| ~ organization(sK0,X1) ),
inference(resolution,[],[f100,f31]) ).
fof(f102,plain,
! [X0,X1] :
( sP11(sK8(sK0,X0),sK0,X1)
| ~ organization(sK0,X1)
| ~ organization(sK0,X0)
| ~ greater(X1,X0)
| greater(sK5,X0)
| greater(X1,sK6) ),
inference(duplicate_literal_removal,[],[f101]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ organization(sK0,X0)
| ~ organization(sK0,X1)
| ~ greater(X0,X1)
| greater(sK5,X1)
| greater(X0,sK6)
| ~ accountability(X2,sK8(sK0,X1),X3)
| ~ organization(X2,X3)
| ~ organization(sK0,X0)
| ~ sP10(sK0,X0,X4)
| ~ survival_chance(X2,X4,X3)
| ~ sP9(X5,sK0,X0)
| ~ reliability(X2,X5,X3) ),
inference(resolution,[],[f102,f95]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ accountability(X2,sK8(sK0,X1),X3)
| ~ organization(sK0,X1)
| ~ greater(X0,X1)
| greater(sK5,X1)
| greater(X0,sK6)
| ~ organization(sK0,X0)
| ~ organization(X2,X3)
| ~ sP10(sK0,X0,X4)
| ~ survival_chance(X2,X4,X3)
| ~ sP9(X5,sK0,X0)
| ~ reliability(X2,X5,X3) ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( ~ organization(sK0,X0)
| ~ greater(X1,X0)
| greater(sK5,X0)
| greater(X1,sK6)
| ~ organization(sK0,X1)
| ~ organization(sK0,X0)
| ~ sP10(sK0,X1,X2)
| ~ survival_chance(sK0,X2,X0)
| ~ sP9(X3,sK0,X1)
| ~ reliability(sK0,X3,X0)
| ~ organization(sK0,X0) ),
inference(resolution,[],[f104,f31]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( ~ sP10(sK0,X1,X2)
| ~ greater(X1,X0)
| greater(sK5,X0)
| greater(X1,sK6)
| ~ organization(sK0,X1)
| ~ organization(sK0,X0)
| ~ survival_chance(sK0,X2,X0)
| ~ sP9(X3,sK0,X1)
| ~ reliability(sK0,X3,X0) ),
inference(duplicate_literal_removal,[],[f105]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ greater(sK4,X0)
| greater(sK5,X0)
| greater(sK4,sK6)
| ~ organization(sK0,sK4)
| ~ organization(sK0,X0)
| ~ survival_chance(sK0,X1,X0)
| ~ sP9(X2,sK0,sK4)
| ~ reliability(sK0,X2,X0)
| greater(X1,sK2) ),
inference(resolution,[],[f106,f71]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ greater(sK4,X0)
| greater(sK5,X0)
| ~ organization(sK0,sK4)
| ~ organization(sK0,X0)
| ~ survival_chance(sK0,X1,X0)
| ~ sP9(X2,sK0,sK4)
| ~ reliability(sK0,X2,X0)
| greater(X1,sK2) ),
inference(forward_subsumption_resolution,[],[f107,f21]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ sP9(X2,sK0,sK4)
| greater(sK5,X0)
| ~ organization(sK0,X0)
| ~ survival_chance(sK0,X1,X0)
| ~ greater(sK4,X0)
| ~ reliability(sK0,X2,X0)
| greater(X1,sK2) ),
inference(forward_subsumption_resolution,[],[f110,f27]) ).
fof(f122,plain,
! [X2,X0,X1] :
( greater(sK5,X0)
| ~ organization(sK0,X0)
| ~ survival_chance(sK0,X1,X0)
| ~ greater(sK4,X0)
| ~ reliability(sK0,sK7(sK0,X2),X0)
| greater(X1,sK2)
| ~ organization(sK0,sK4)
| sP17(sK4,sK0,X2)
| ~ organization(sK0,X2) ),
inference(resolution,[],[f119,f96]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ reliability(sK0,sK7(sK0,X2),X0)
| ~ organization(sK0,X0)
| ~ survival_chance(sK0,X1,X0)
| ~ greater(sK4,X0)
| greater(sK5,X0)
| greater(X1,sK2)
| sP17(sK4,sK0,X2)
| ~ organization(sK0,X2) ),
inference(forward_subsumption_resolution,[],[f122,f27]) ).
fof(f126,plain,
! [X0,X1] :
( ~ organization(sK0,X0)
| ~ survival_chance(sK0,X1,X0)
| ~ greater(sK4,X0)
| greater(sK5,X0)
| greater(X1,sK2)
| sP17(sK4,sK0,X0)
| ~ organization(sK0,X0)
| ~ organization(sK0,X0) ),
inference(resolution,[],[f123,f30]) ).
fof(f127,plain,
! [X0,X1] :
( ~ survival_chance(sK0,X1,X0)
| ~ organization(sK0,X0)
| ~ greater(sK4,X0)
| greater(sK5,X0)
| greater(X1,sK2)
| sP17(sK4,sK0,X0) ),
inference(duplicate_literal_removal,[],[f126]) ).
fof(f164,plain,
( ~ organization(sK0,sK3)
| ~ greater(sK4,sK3)
| greater(sK5,sK3)
| greater(sK1,sK2)
| sP17(sK4,sK0,sK3) ),
inference(resolution,[],[f127,f25]) ).
fof(f165,plain,
( ~ greater(sK4,sK3)
| greater(sK5,sK3)
| greater(sK1,sK2)
| sP17(sK4,sK0,sK3) ),
inference(forward_subsumption_resolution,[],[f164,f28]) ).
fof(f167,plain,
( greater(sK5,sK3)
| greater(sK1,sK2)
| sP17(sK4,sK0,sK3) ),
inference(forward_subsumption_resolution,[],[f165,f22]) ).
fof(f181,plain,
( greater(sK1,sK2)
| sP17(sK4,sK0,sK3) ),
inference(forward_subsumption_resolution,[],[f167,f23]) ).
fof(f182,plain,
sP17(sK4,sK0,sK3),
inference(forward_subsumption_resolution,[],[f181,f29]) ).
fof(f183,plain,
( greater(sK5,sK3)
| ~ greater(sK4,sK3)
| ~ organization(sK0,sK4)
| ~ organization(sK0,sK3)
| greater(sK4,sK6) ),
inference(resolution,[],[f182,f86]) ).
fof(f184,plain,
( ~ greater(sK4,sK3)
| ~ organization(sK0,sK4)
| ~ organization(sK0,sK3)
| greater(sK4,sK6) ),
inference(forward_subsumption_resolution,[],[f183,f23]) ).
fof(f185,plain,
( ~ organization(sK0,sK4)
| ~ organization(sK0,sK3)
| greater(sK4,sK6) ),
inference(forward_subsumption_resolution,[],[f184,f22]) ).
fof(f186,plain,
( ~ organization(sK0,sK3)
| greater(sK4,sK6) ),
inference(forward_subsumption_resolution,[],[f185,f27]) ).
fof(f187,plain,
greater(sK4,sK6),
inference(forward_subsumption_resolution,[],[f186,f28]) ).
fof(f188,plain,
$false,
inference(forward_subsumption_resolution,[],[f187,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT004+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:15:49 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.87/1.27 % (3281513)Detected formulas, will run a generic FOF schedule.
% 2.87/1.27 % (3281518)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=5584137:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.87/1.27 % (3281519)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=595666181:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.87/1.27 % (3281520)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=4155874963:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.87/1.27 % (3281522)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=687080875:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.87/1.27 % (3281521)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3259928665:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.87/1.27 % (3281524)dis-21_1_sil=8000:lcm=predicate:random_seed=81449492: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)
% 2.87/1.27 % (3281523)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2447739669:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.87/1.27 % (3281521)First to succeed.
% 2.87/1.27 % (3281524)Also succeeded, but the first one will report.
% 2.87/1.27 % (3281523)Also succeeded, but the first one will report.
% 2.87/1.27 % (3281521)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3281513"
% 2.87/1.27 % (3281522)Also succeeded, but the first one will report.
% 2.87/1.27 % (3281521)Refutation found. Thanks to Tanya!
% 2.87/1.27 % SZS status Theorem for theBenchmark
% 2.87/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.46 % (3281521)------------------------------
% 3.51/1.46 % (3281521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (3281521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (3281521)CaDiCaL version: 2.1.3
% 3.51/1.46 % (3281521)Termination reason: Refutation
% 3.51/1.46 % (3281521)Time elapsed: 0.008 s
% 3.51/1.46 % (3281521)Peak memory usage: 88 MB
% 3.51/1.46 % (3281521)Instructions burned: 11 (million)
% 3.51/1.46 % (3281521)------------------------------
% 3.51/1.46 % (3281521)------------------------------
% 3.51/1.46 % (3281513)Success in time 0.412 s
% 3.51/1.46 % Vampire exiting
%------------------------------------------------------------------------------