%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT008+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 01:25:13 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 81 ( 19 unt; 11 def)
% Number of atoms : 350 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 473 ( 204 ~; 184 |; 69 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 12 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 176 ( 156 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [X,Y,C,S1,S2,I1,I2,T1,T2] :
( ( greater(S2,S1)
& inertia(Y,I2,T2)
& inertia(X,I1,T1)
& size(Y,S2,T2)
& size(X,S1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(I2,I1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [X,Y,T1,T2,I1,I2,P1,P2] :
( ( greater(I2,I1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& inertia(Y,I2,T2)
& inertia(X,I1,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,conjecture,
! [X,Y,C,P1,P2,S1,S2,T1,T2] :
( ( greater(S2,S1)
& size(Y,S2,T2)
& size(X,S1,T1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ ! [X,Y,C,P1,P2,S1,S2,T1,T2] :
( ( greater(S2,S1)
& size(Y,S2,T2)
& size(X,S1,T1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(P2,P1) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X,T] :
( ? [I] : inertia(X,I,T)
| ~ organization(X,T) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X,T] :
( inertia(X,sK0_skl(T,X),T)
| ~ organization(X,T) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(I,sK0_skl(T,X))],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( inertia(X0,sK0_skl(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [X,Y,C,S1,S2,I1,I2,T1,T2] :
( greater(I2,I1)
| ~ greater(S2,S1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ size(Y,S2,T2)
| ~ size(X,S1,T1)
| ~ class(Y,C,T2)
| ~ class(X,C,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [I1,I2] :
( greater(I2,I1)
| ! [S1,S2] :
( ~ greater(S2,S1)
| ! [Y,T2] :
( ~ inertia(Y,I2,T2)
| ! [X,T1] :
( ~ inertia(X,I1,T1)
| ~ size(Y,S2,T2)
| ~ size(X,S1,T1)
| ! [C] :
( ~ class(Y,C,T2)
| ~ class(X,C,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X,Y,T1,T2,I1,I2,P1,P2] :
( greater(P2,P1)
| ~ greater(I2,I1)
| ~ survival_chance(Y,P2,T2)
| ~ survival_chance(X,P1,T1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reorganization_free(X,T1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [P1,P2] :
( greater(P2,P1)
| ! [I1,I2] :
( ~ greater(I2,I1)
| ! [Y,T2] :
( ~ survival_chance(Y,P2,T2)
| ! [X,T1] :
( ~ survival_chance(X,P1,T1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reorganization_free(X,T1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ survival_chance(X2,X7,X3)
| ~ survival_chance(X0,X6,X1)
| ~ inertia(X2,X5,X3)
| ~ inertia(X0,X4,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
? [X,Y,C,P1,P2,S1,S2,T1,T2] :
( ~ greater(P2,P1)
& greater(S2,S1)
& size(Y,S2,T2)
& size(X,S1,T1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
? [P1,P2] :
( ~ greater(P2,P1)
& ? [S1,S2] :
( greater(S2,S1)
& ? [Y,T2] :
( size(Y,S2,T2)
& ? [X,T1] :
( size(X,S1,T1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& ? [C] :
( class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f17,plain,
( ~ greater(sK2_skl,sK1_skl)
& greater(sK4_skl,sK3_skl)
& size(sK5_skl,sK4_skl,sK6_skl)
& size(sK7_skl,sK3_skl,sK8_skl)
& survival_chance(sK5_skl,sK2_skl,sK6_skl)
& survival_chance(sK7_skl,sK1_skl,sK8_skl)
& class(sK5_skl,sK9_skl,sK6_skl)
& class(sK7_skl,sK9_skl,sK8_skl)
& reorganization_free(sK5_skl,sK6_skl,sK6_skl)
& reorganization_free(sK7_skl,sK8_skl,sK8_skl)
& organization(sK5_skl,sK6_skl)
& organization(sK7_skl,sK8_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(P1,sK1_skl),skolemize(P2,sK2_skl),skolemize(S1,sK3_skl),skolemize(S2,sK4_skl),skolemize(Y,sK5_skl),skolemize(T2,sK6_skl),skolemize(X,sK7_skl),skolemize(T1,sK8_skl),skolemize(C,sK9_skl)],[f16]) ).
fof(f18,plain,
organization(sK7_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
organization(sK5_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f20,plain,
reorganization_free(sK7_skl,sK8_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f21,plain,
reorganization_free(sK5_skl,sK6_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f22,plain,
class(sK7_skl,sK9_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f23,plain,
class(sK5_skl,sK9_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f24,plain,
survival_chance(sK7_skl,sK1_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f25,plain,
survival_chance(sK5_skl,sK2_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f26,plain,
size(sK7_skl,sK3_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f27,plain,
size(sK5_skl,sK4_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f28,plain,
greater(sK4_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f29,plain,
~ greater(sK2_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ greater(X5,X4)
| ~ survival_chance(X2,sK2_skl,X3)
| ~ survival_chance(X0,sK1_skl,X1)
| ~ inertia(X2,X5,X3)
| ~ inertia(X0,X4,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f29,f14]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( ~ greater(X3,X2)
| ~ survival_chance(X0,sK1_skl,X1)
| ~ inertia(sK5_skl,X3,sK6_skl)
| ~ inertia(X0,X2,X1)
| ~ reorganization_free(sK5_skl,sK6_skl,sK6_skl)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(sK5_skl,sK6_skl)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f30,f25]) ).
fof(f33,definition,
! [X0,X1,X2,X3] :
( sQ0_spl
<=> ( ~ greater(X3,X2)
| ~ survival_chance(X0,sK1_skl,X1)
| ~ inertia(sK5_skl,X3,sK6_skl)
| ~ inertia(X0,X2,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ greater(X3,X2)
| ~ survival_chance(X0,sK1_skl,X1)
| ~ inertia(sK5_skl,X3,sK6_skl)
| ~ inertia(X0,X2,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(component_clause,[status(thm)],[f33]) ).
fof(f36,definition,
( sQ1_spl
<=> organization(sK5_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f38,plain,
( sQ1_spl
| ~ organization(sK5_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,definition,
( sQ2_spl
<=> reorganization_free(sK5_skl,sK6_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f41,plain,
( sQ2_spl
| ~ reorganization_free(sK5_skl,sK6_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f32,f33,f36,f39]) ).
fof(f43,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f41,f21]) ).
fof(f44,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f43]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ organization(sK5_skl,sK6_skl)
| ~ greater(sK0_skl(sK6_skl,sK5_skl),X2)
| ~ survival_chance(X0,sK1_skl,X1)
| ~ inertia(X0,X2,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f34,f8]) ).
fof(f46,definition,
! [X0,X1,X2] :
( sQ3_spl
<=> ( ~ greater(sK0_skl(sK6_skl,sK5_skl),X2)
| ~ survival_chance(X0,sK1_skl,X1)
| ~ inertia(X0,X2,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ greater(sK0_skl(sK6_skl,sK5_skl),X2)
| ~ survival_chance(X0,sK1_skl,X1)
| ~ inertia(X0,X2,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f45,f46,f36,f33]) ).
fof(f50,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f19]) ).
fof(f51,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0] :
( ~ sQ3_spl
| ~ greater(sK0_skl(sK6_skl,sK5_skl),X0)
| ~ inertia(sK7_skl,X0,sK8_skl)
| ~ reorganization_free(sK7_skl,sK8_skl,sK8_skl)
| ~ organization(sK7_skl,sK8_skl) ),
inference(resolution,[status(thm)],[f47,f24]) ).
fof(f53,definition,
( sQ4_spl
<=> organization(sK7_skl,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( sQ4_spl
| ~ organization(sK7_skl,sK8_skl) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,definition,
( sQ5_spl
<=> reorganization_free(sK7_skl,sK8_skl,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f58,plain,
( sQ5_spl
| ~ reorganization_free(sK7_skl,sK8_skl,sK8_skl) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,definition,
! [X0] :
( sQ6_spl
<=> ( ~ greater(sK0_skl(sK6_skl,sK5_skl),X0)
| ~ inertia(sK7_skl,X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f60,plain,
! [X0] :
( ~ sQ6_spl
| ~ greater(sK0_skl(sK6_skl,sK5_skl),X0)
| ~ inertia(sK7_skl,X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( ~ sQ3_spl
| sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f52,f53,f56,f59,f46]) ).
fof(f65,plain,
( ~ sQ6_spl
| ~ organization(sK7_skl,sK8_skl)
| ~ greater(sK0_skl(sK6_skl,sK5_skl),sK0_skl(sK8_skl,sK7_skl)) ),
inference(resolution,[status(thm)],[f60,f8]) ).
fof(f66,definition,
( sQ7_spl
<=> greater(sK0_skl(sK6_skl,sK5_skl),sK0_skl(sK8_skl,sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f68,plain,
( sQ7_spl
| ~ greater(sK0_skl(sK6_skl,sK5_skl),sK0_skl(sK8_skl,sK7_skl)) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f65,f66,f53,f59]) ).
fof(f70,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f18]) ).
fof(f71,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f70]) ).
fof(f72,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f20]) ).
fof(f73,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f72]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ7_spl
| ~ greater(X6,X5)
| ~ inertia(X2,sK0_skl(sK6_skl,sK5_skl),X3)
| ~ inertia(X0,sK0_skl(sK8_skl,sK7_skl),X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f68,f11]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4] :
( sQ7_spl
| ~ organization(sK7_skl,sK8_skl)
| ~ greater(X4,X3)
| ~ inertia(X0,sK0_skl(sK6_skl,sK5_skl),X1)
| ~ size(X0,X4,X1)
| ~ size(sK7_skl,X3,sK8_skl)
| ~ class(X0,X2,X1)
| ~ class(sK7_skl,X2,sK8_skl)
| ~ organization(X0,X1)
| ~ organization(sK7_skl,sK8_skl) ),
inference(resolution,[status(thm)],[f75,f8]) ).
fof(f79,definition,
! [X0,X1,X2,X3,X4] :
( sQ8_spl
<=> ( ~ greater(X4,X3)
| ~ inertia(X0,sK0_skl(sK6_skl,sK5_skl),X1)
| ~ size(X0,X4,X1)
| ~ size(sK7_skl,X3,sK8_skl)
| ~ class(X0,X2,X1)
| ~ class(sK7_skl,X2,sK8_skl)
| ~ organization(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f80,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ8_spl
| ~ greater(X4,X3)
| ~ inertia(X0,sK0_skl(sK6_skl,sK5_skl),X1)
| ~ size(X0,X4,X1)
| ~ size(sK7_skl,X3,sK8_skl)
| ~ class(X0,X2,X1)
| ~ class(sK7_skl,X2,sK8_skl)
| ~ organization(X0,X1) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( sQ7_spl
| sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f78,f53,f79,f66]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ greater(X3,sK3_skl)
| ~ inertia(X0,sK0_skl(sK6_skl,sK5_skl),X1)
| ~ size(X0,X3,X1)
| ~ class(X0,X2,X1)
| ~ class(sK7_skl,X2,sK8_skl)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f80,f26]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X2,sK3_skl)
| ~ inertia(X0,sK0_skl(sK6_skl,sK5_skl),X1)
| ~ size(X0,X2,X1)
| ~ class(X0,sK9_skl,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f83,f22]) ).
fof(f85,plain,
! [X0] :
( ~ sQ8_spl
| ~ organization(sK5_skl,sK6_skl)
| ~ greater(X0,sK3_skl)
| ~ size(sK5_skl,X0,sK6_skl)
| ~ class(sK5_skl,sK9_skl,sK6_skl)
| ~ organization(sK5_skl,sK6_skl) ),
inference(resolution,[status(thm)],[f84,f8]) ).
fof(f86,definition,
( sQ9_spl
<=> class(sK5_skl,sK9_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( sQ9_spl
| ~ class(sK5_skl,sK9_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,definition,
! [X0] :
( sQ10_spl
<=> ( ~ greater(X0,sK3_skl)
| ~ size(sK5_skl,X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f90,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,sK3_skl)
| ~ size(sK5_skl,X0,sK6_skl) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( ~ sQ8_spl
| sQ10_spl
| ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f85,f36,f86,f89,f79]) ).
fof(f93,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f23]) ).
fof(f94,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f93]) ).
fof(f95,plain,
( ~ sQ10_spl
| ~ greater(sK4_skl,sK3_skl) ),
inference(resolution,[status(thm)],[f90,f27]) ).
fof(f96,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f95,f28]) ).
fof(f97,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f96]) ).
fof(f98,plain,
$false,
inference(sat_refutation,[status(thm)],[f42,f44,f49,f51,f62,f69,f71,f73,f82,f92,f94,f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT008+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:21:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.053068 seconds
% 0.09/0.44 % CPU time: 0.152267 seconds
% 0.09/0.44 % Total memory used: 56.632 MB
% 0.09/0.44 % Net memory used: 56.163 MB
%------------------------------------------------------------------------------