%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT004+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 : Thu Sep 24 01:25:12 PM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 116 ( 19 unt; 18 def)
% Number of atoms : 531 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 733 ( 318 ~; 332 |; 59 &)
% ( 18 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 19 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 271 ( 253 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,T] :
( organization(X,T)
=> ? [R] : reliability(X,R,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,T] :
( organization(X,T)
=> ? [A] : accountability(X,A,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [X,Y,R1,R2,A1,A2,P1,P2,T1,T2] :
( ( greater(A2,A1)
& greater(R2,R1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& accountability(Y,A2,T2)
& accountability(X,A1,T1)
& reliability(Y,R2,T2)
& reliability(X,R1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X,R1,R2,A1,A2,T1,T2,Ta,Tb] :
( ( ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& accountability(X,A2,T2)
& accountability(X,A1,T1)
& reliability(X,R2,T2)
& reliability(X,R1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) )
=> ( greater(A1,A2)
& greater(R1,R2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
! [X,P1,P2,T1,T2,Ta,Tb] :
( ( ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& survival_chance(X,P2,T2)
& survival_chance(X,P1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) )
=> greater(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ! [X,P1,P2,T1,T2,Ta,Tb] :
( ( ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& survival_chance(X,P2,T2)
& survival_chance(X,P1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) )
=> greater(P1,P2) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X,T] :
( ? [R] : reliability(X,R,T)
| ~ organization(X,T) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X,T] :
( reliability(X,sK0_skl(T,X),T)
| ~ organization(X,T) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(R,sK0_skl(T,X))],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( reliability(X0,sK0_skl(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [X,T] :
( ? [A] : accountability(X,A,T)
| ~ organization(X,T) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X,T] :
( accountability(X,sK1_skl(T,X),T)
| ~ organization(X,T) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(A,sK1_skl(T,X))],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( accountability(X0,sK1_skl(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [X,Y,R1,R2,A1,A2,P1,P2,T1,T2] :
( greater(P2,P1)
| ~ greater(A2,A1)
| ~ greater(R2,R1)
| ~ survival_chance(Y,P2,T2)
| ~ survival_chance(X,P1,T1)
| ~ accountability(Y,A2,T2)
| ~ accountability(X,A1,T1)
| ~ reliability(Y,R2,T2)
| ~ reliability(X,R1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [P1,P2] :
( greater(P2,P1)
| ! [A1,A2] :
( ~ greater(A2,A1)
| ! [R1,R2] :
( ~ greater(R2,R1)
| ! [Y,T2] :
( ~ survival_chance(Y,P2,T2)
| ! [X,T1] :
( ~ survival_chance(X,P1,T1)
| ~ accountability(Y,A2,T2)
| ~ accountability(X,A1,T1)
| ~ reliability(Y,R2,T2)
| ~ reliability(X,R1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( greater(X9,X8)
| ~ greater(X7,X6)
| ~ greater(X5,X4)
| ~ survival_chance(X2,X9,X3)
| ~ survival_chance(X0,X8,X1)
| ~ accountability(X2,X7,X3)
| ~ accountability(X0,X6,X1)
| ~ reliability(X2,X5,X3)
| ~ reliability(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [X,R1,R2,A1,A2,T1,T2,Ta,Tb] :
( ( greater(A1,A2)
& greater(R1,R2) )
| greater(T2,Tb)
| ~ greater(T2,T1)
| greater(Ta,T1)
| ~ accountability(X,A2,T2)
| ~ accountability(X,A1,T1)
| ~ reliability(X,R2,T2)
| ~ reliability(X,R1,T1)
| ~ reorganization(X,Ta,Tb)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
! [R1,R2,A1,A2] :
( ( greater(A1,A2)
& greater(R1,R2) )
| ! [T2,Tb] :
( greater(T2,Tb)
| ! [T1] :
( ~ greater(T2,T1)
| ! [Ta] :
( greater(Ta,T1)
| ! [X] :
( ~ accountability(X,A2,T2)
| ~ accountability(X,A1,T1)
| ~ reliability(X,R2,T2)
| ~ reliability(X,R1,T1)
| ~ reorganization(X,Ta,Tb)
| ~ organization(X,T2)
| ~ organization(X,T1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X5,X6)
| greater(X2,X4)
| ~ greater(X2,X1)
| greater(X3,X1)
| ~ accountability(X0,X8,X2)
| ~ accountability(X0,X7,X1)
| ~ reliability(X0,X6,X2)
| ~ reliability(X0,X5,X1)
| ~ reorganization(X0,X3,X4)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X7,X8)
| greater(X2,X4)
| ~ greater(X2,X1)
| greater(X3,X1)
| ~ accountability(X0,X8,X2)
| ~ accountability(X0,X7,X1)
| ~ reliability(X0,X6,X2)
| ~ reliability(X0,X5,X1)
| ~ reorganization(X0,X3,X4)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f20,plain,
? [X,P1,P2,T1,T2,Ta,Tb] :
( ~ greater(P1,P2)
& ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& survival_chance(X,P2,T2)
& survival_chance(X,P1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
? [P1,P2] :
( ~ greater(P1,P2)
& ? [T2,Tb] :
( ~ greater(T2,Tb)
& ? [T1] :
( greater(T2,T1)
& ? [Ta] :
( ~ greater(Ta,T1)
& ? [X] :
( survival_chance(X,P2,T2)
& survival_chance(X,P1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f22,plain,
( ~ greater(sK2_skl,sK3_skl)
& ~ greater(sK4_skl,sK5_skl)
& greater(sK4_skl,sK6_skl)
& ~ greater(sK7_skl,sK6_skl)
& survival_chance(sK8_skl,sK3_skl,sK4_skl)
& survival_chance(sK8_skl,sK2_skl,sK6_skl)
& reorganization(sK8_skl,sK7_skl,sK5_skl)
& organization(sK8_skl,sK4_skl)
& organization(sK8_skl,sK6_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(P1,sK2_skl),skolemize(P2,sK3_skl),skolemize(T2,sK4_skl),skolemize(Tb,sK5_skl),skolemize(T1,sK6_skl),skolemize(Ta,sK7_skl),skolemize(X,sK8_skl)],[f21]) ).
fof(f23,plain,
organization(sK8_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
organization(sK8_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f25,plain,
reorganization(sK8_skl,sK7_skl,sK5_skl),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f26,plain,
survival_chance(sK8_skl,sK2_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f27,plain,
survival_chance(sK8_skl,sK3_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f28,plain,
~ greater(sK7_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f29,plain,
greater(sK4_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f30,plain,
~ greater(sK4_skl,sK5_skl),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f31,plain,
~ greater(sK2_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f32,plain,
reliability(sK8_skl,sK0_skl(sK4_skl,sK8_skl),sK4_skl),
inference(resolution,[status(thm)],[f9,f24]) ).
fof(f33,plain,
reliability(sK8_skl,sK0_skl(sK6_skl,sK8_skl),sK6_skl),
inference(resolution,[status(thm)],[f9,f23]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X4,X5)
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ accountability(sK8_skl,X5,sK4_skl)
| ~ accountability(sK8_skl,X4,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,sK4_skl)
| ~ organization(sK8_skl,X0) ),
inference(resolution,[status(thm)],[f32,f19]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X3,sK0_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ accountability(sK8_skl,X5,sK4_skl)
| ~ accountability(sK8_skl,X4,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,sK4_skl)
| ~ organization(sK8_skl,X0) ),
inference(resolution,[status(thm)],[f32,f18]) ).
fof(f37,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ0_spl
<=> ( greater(X4,X5)
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ accountability(sK8_skl,X5,sK4_skl)
| ~ accountability(sK8_skl,X4,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| greater(X4,X5)
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ accountability(sK8_skl,X5,sK4_skl)
| ~ accountability(sK8_skl,X4,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,X0) ),
inference(component_clause,[status(thm)],[f37]) ).
fof(f40,definition,
( sQ1_spl
<=> organization(sK8_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f42,plain,
( sQ1_spl
| ~ organization(sK8_skl,sK4_skl) ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f34,f37,f40]) ).
fof(f48,definition,
! [X0,X1,X2,X3,X4] :
( sQ3_spl
<=> ( greater(X3,sK0_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ accountability(sK8_skl,X4,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| greater(X3,sK0_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ accountability(sK8_skl,X4,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,X0) ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f51,definition,
! [X5] :
( sQ4_spl
<=> ~ accountability(sK8_skl,X5,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f52,plain,
! [X0] :
( ~ sQ4_spl
| ~ accountability(sK8_skl,X0,sK4_skl) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,plain,
( sQ4_spl
| ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f36,f48,f40,f51]) ).
fof(f55,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f24]) ).
fof(f56,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f55]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X2)
| ~ survival_chance(sK8_skl,X6,sK6_skl)
| ~ survival_chance(X0,X5,X1)
| ~ accountability(sK8_skl,X4,sK6_skl)
| ~ accountability(X0,X3,X1)
| ~ reliability(X0,X2,X1)
| ~ organization(sK8_skl,sK6_skl)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f33,f15]) ).
fof(f63,definition,
( sQ6_spl
<=> organization(sK8_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( sQ6_spl
| ~ organization(sK8_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f67,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ7_spl
<=> ( greater(X6,X5)
| ~ greater(X4,X3)
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X2)
| ~ survival_chance(sK8_skl,X6,sK6_skl)
| ~ survival_chance(X0,X5,X1)
| ~ accountability(sK8_skl,X4,sK6_skl)
| ~ accountability(X0,X3,X1)
| ~ reliability(X0,X2,X1)
| ~ organization(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ7_spl
| greater(X6,X5)
| ~ greater(X4,X3)
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X2)
| ~ survival_chance(sK8_skl,X6,sK6_skl)
| ~ survival_chance(X0,X5,X1)
| ~ accountability(sK8_skl,X4,sK6_skl)
| ~ accountability(X0,X3,X1)
| ~ reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( ~ sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f58,f67,f63]) ).
fof(f74,definition,
! [X5] :
( sQ9_spl
<=> ~ accountability(sK8_skl,X5,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f75,plain,
! [X0] :
( ~ sQ9_spl
| ~ accountability(sK8_skl,X0,sK6_skl) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f78,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f23]) ).
fof(f79,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| greater(X2,sK0_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,X1)
| greater(X0,sK6_skl)
| ~ accountability(sK8_skl,X3,sK6_skl)
| ~ reliability(sK8_skl,X2,sK6_skl)
| ~ reorganization(sK8_skl,X0,X1)
| ~ organization(sK8_skl,sK6_skl) ),
inference(resolution,[status(thm)],[f49,f29]) ).
fof(f81,definition,
! [X0,X1] :
( sQ10_spl
<=> ( greater(sK4_skl,X1)
| greater(X0,sK6_skl)
| ~ reorganization(sK8_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f82,plain,
! [X0,X1] :
( ~ sQ10_spl
| greater(sK4_skl,X1)
| greater(X0,sK6_skl)
| ~ reorganization(sK8_skl,X0,X1) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,definition,
! [X2] :
( sQ11_spl
<=> ( greater(X2,sK0_skl(sK4_skl,sK8_skl))
| ~ reliability(sK8_skl,X2,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f85,plain,
! [X0] :
( ~ sQ11_spl
| greater(X0,sK0_skl(sK4_skl,sK8_skl))
| ~ reliability(sK8_skl,X0,sK6_skl) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( ~ sQ3_spl
| sQ9_spl
| sQ11_spl
| sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f80,f63,f81,f84,f74,f48]) ).
fof(f88,plain,
( ~ sQ9_spl
| ~ organization(sK8_skl,sK6_skl) ),
inference(resolution,[status(thm)],[f75,f12]) ).
fof(f89,plain,
( ~ sQ9_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f88,f63,f74]) ).
fof(f90,plain,
( ~ sQ4_spl
| ~ organization(sK8_skl,sK4_skl) ),
inference(resolution,[status(thm)],[f52,f12]) ).
fof(f91,plain,
( ~ sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f90,f40,f51]) ).
fof(f92,plain,
( ~ sQ10_spl
| greater(sK4_skl,sK5_skl)
| greater(sK7_skl,sK6_skl) ),
inference(resolution,[status(thm)],[f82,f25]) ).
fof(f93,definition,
( sQ12_spl
<=> greater(sK7_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ12_spl
| greater(sK7_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
( sQ13_spl
<=> greater(sK4_skl,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ13_spl
| greater(sK4_skl,sK5_skl) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( ~ sQ10_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f92,f93,f96,f81]) ).
fof(f100,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f97,f30]) ).
fof(f101,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f100]) ).
fof(f102,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f28]) ).
fof(f103,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f102]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ7_spl
| ~ organization(sK8_skl,sK6_skl)
| greater(X5,X4)
| ~ greater(sK1_skl(sK6_skl,sK8_skl),X3)
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X2)
| ~ survival_chance(sK8_skl,X5,sK6_skl)
| ~ survival_chance(X0,X4,X1)
| ~ accountability(X0,X3,X1)
| ~ reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f68,f12]) ).
fof(f122,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ19_spl
<=> ( greater(X5,X4)
| ~ greater(sK1_skl(sK6_skl,sK8_skl),X3)
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X2)
| ~ survival_chance(sK8_skl,X5,sK6_skl)
| ~ survival_chance(X0,X4,X1)
| ~ accountability(X0,X3,X1)
| ~ reliability(X0,X2,X1)
| ~ organization(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| greater(X5,X4)
| ~ greater(sK1_skl(sK6_skl,sK8_skl),X3)
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X2)
| ~ survival_chance(sK8_skl,X5,sK6_skl)
| ~ survival_chance(X0,X4,X1)
| ~ accountability(X0,X3,X1)
| ~ reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f121,f122,f63,f67]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ0_spl
| ~ organization(sK8_skl,sK4_skl)
| greater(X4,sK1_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ accountability(sK8_skl,X4,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,X0) ),
inference(resolution,[status(thm)],[f38,f12]) ).
fof(f160,definition,
! [X0,X1,X2,X3,X4] :
( sQ26_spl
<=> ( greater(X4,sK1_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ accountability(sK8_skl,X4,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ26_spl
| greater(X4,sK1_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ accountability(sK8_skl,X4,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,X0) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f159,f160,f40,f37]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| greater(sK2_skl,X4)
| ~ greater(sK1_skl(sK6_skl,sK8_skl),X3)
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X2)
| ~ survival_chance(X0,X4,X1)
| ~ accountability(X0,X3,X1)
| ~ reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f123,f26]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ organization(X0,X1)
| greater(sK2_skl,X3)
| ~ greater(sK1_skl(sK6_skl,sK8_skl),sK1_skl(X1,X0))
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X2)
| ~ survival_chance(X0,X3,X1)
| ~ reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f164,f12]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| greater(sK2_skl,X3)
| ~ greater(sK1_skl(sK6_skl,sK8_skl),sK1_skl(X1,X0))
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X2)
| ~ survival_chance(X0,X3,X1)
| ~ reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f165]) ).
fof(f174,definition,
! [X2] :
( sQ29_spl
<=> ~ reliability(sK8_skl,X2,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f175,plain,
! [X0] :
( ~ sQ29_spl
| ~ reliability(sK8_skl,X0,sK6_skl) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( ~ sQ26_spl
| ~ organization(sK8_skl,X0)
| greater(sK1_skl(X0,sK8_skl),sK1_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,X0) ),
inference(resolution,[status(thm)],[f161,f12]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( ~ sQ26_spl
| greater(sK1_skl(X0,sK8_skl),sK1_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,X2)
| ~ greater(sK4_skl,X0)
| greater(X1,X0)
| ~ reliability(sK8_skl,X3,X0)
| ~ reorganization(sK8_skl,X1,X2)
| ~ organization(sK8_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f202]) ).
fof(f213,plain,
! [X0,X1] :
( ~ sQ26_spl
| greater(sK1_skl(X0,sK8_skl),sK1_skl(sK4_skl,sK8_skl))
| greater(sK4_skl,sK5_skl)
| ~ greater(sK4_skl,X0)
| greater(sK7_skl,X0)
| ~ reliability(sK8_skl,X1,X0)
| ~ organization(sK8_skl,X0) ),
inference(resolution,[status(thm)],[f203,f25]) ).
fof(f214,definition,
! [X0,X1] :
( sQ37_spl
<=> ( greater(sK1_skl(X0,sK8_skl),sK1_skl(sK4_skl,sK8_skl))
| ~ greater(sK4_skl,X0)
| greater(sK7_skl,X0)
| ~ reliability(sK8_skl,X1,X0)
| ~ organization(sK8_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f215,plain,
! [X0,X1] :
( ~ sQ37_spl
| greater(sK1_skl(X0,sK8_skl),sK1_skl(sK4_skl,sK8_skl))
| ~ greater(sK4_skl,X0)
| greater(sK7_skl,X0)
| ~ reliability(sK8_skl,X1,X0)
| ~ organization(sK8_skl,X0) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( ~ sQ26_spl
| sQ13_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f213,f214,f96,f160]) ).
fof(f218,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ37_spl
| greater(sK2_skl,X2)
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X1)
| ~ survival_chance(sK8_skl,X2,sK4_skl)
| ~ reliability(sK8_skl,X1,sK4_skl)
| ~ organization(sK8_skl,sK4_skl)
| ~ greater(sK4_skl,sK6_skl)
| greater(sK7_skl,sK6_skl)
| ~ reliability(sK8_skl,X0,sK6_skl)
| ~ organization(sK8_skl,sK6_skl) ),
inference(resolution,[status(thm)],[f215,f166]) ).
fof(f219,definition,
( sQ38_spl
<=> greater(sK4_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( sQ38_spl
| ~ greater(sK4_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
! [X1] :
( sQ39_spl
<=> ( ~ greater(sK0_skl(sK6_skl,sK8_skl),X1)
| ~ reliability(sK8_skl,X1,sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f223,plain,
! [X0] :
( ~ sQ39_spl
| ~ greater(sK0_skl(sK6_skl,sK8_skl),X0)
| ~ reliability(sK8_skl,X0,sK4_skl) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
! [X2] :
( sQ40_spl
<=> ( greater(sK2_skl,X2)
| ~ survival_chance(sK8_skl,X2,sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f226,plain,
! [X0] :
( ~ sQ40_spl
| greater(sK2_skl,X0)
| ~ survival_chance(sK8_skl,X0,sK4_skl) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( ~ sQ19_spl
| ~ sQ37_spl
| sQ40_spl
| sQ39_spl
| ~ sQ1_spl
| ~ sQ38_spl
| sQ12_spl
| sQ29_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f218,f63,f174,f93,f219,f40,f222,f225,f214,f122]) ).
fof(f229,plain,
( ~ sQ29_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f33,f175]) ).
fof(f230,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f29]) ).
fof(f231,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f230]) ).
fof(f232,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f229]) ).
fof(f233,plain,
( ~ sQ40_spl
| greater(sK2_skl,sK3_skl) ),
inference(resolution,[status(thm)],[f226,f27]) ).
fof(f234,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f233,f31]) ).
fof(f235,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f234]) ).
fof(f242,plain,
( ~ sQ39_spl
| ~ greater(sK0_skl(sK6_skl,sK8_skl),sK0_skl(sK4_skl,sK8_skl)) ),
inference(resolution,[status(thm)],[f223,f32]) ).
fof(f243,plain,
( ~ sQ11_spl
| greater(sK0_skl(sK6_skl,sK8_skl),sK0_skl(sK4_skl,sK8_skl)) ),
inference(resolution,[status(thm)],[f85,f33]) ).
fof(f244,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f242]) ).
fof(f245,plain,
( ~ sQ11_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f244]) ).
fof(f246,plain,
$false,
inference(sat_refutation,[status(thm)],[f43,f54,f56,f70,f79,f87,f89,f91,f99,f101,f103,f125,f163,f217,f228,f231,f232,f235,f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT004+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n010.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 01:20:40 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.53 % Elapsed time: 0.078653 seconds
% 0.16/0.53 % CPU time: 0.182297 seconds
% 0.16/0.53 % Total memory used: 11.362 MB
% 0.16/0.53 % Net memory used: 11.239 MB
%------------------------------------------------------------------------------