%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Thu Sep 24 01:25:37 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 15 unt; 4 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 32 ~; 31 |; 3 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,A,T,Rho,E,R] :
( ( founds_rem(E,Rho,R)
& part_of(S,Rho)
& cnt(S,decl(A),T)
& subjection(S) )
=> about_event(S,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
subjection(s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
cnt(s,decl(some_action),some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
part_of(s,rho_r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
founds_rem(e1,rho_r,f1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
about_event(s,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ about_event(s,e1),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [S,A,T,Rho,E,R] :
( about_event(S,E)
| ~ founds_rem(E,Rho,R)
| ~ part_of(S,Rho)
| ~ cnt(S,decl(A),T)
| ~ subjection(S) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
! [S,E] :
( about_event(S,E)
| ! [Rho] :
( ! [R] : ~ founds_rem(E,Rho,R)
| ~ part_of(S,Rho)
| ! [A,T] : ~ cnt(S,decl(A),T)
| ~ subjection(S) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5] :
( about_event(X0,X4)
| ~ founds_rem(X4,X3,X5)
| ~ part_of(X0,X3)
| ~ cnt(X0,decl(X1),X2)
| ~ subjection(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f23,plain,
subjection(s),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
cnt(s,decl(some_action),some_target),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
part_of(s,rho_r),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
founds_rem(e1,rho_r,f1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
~ about_event(s,e1),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
! [X0,X1,X2] :
( about_event(s,X1)
| ~ founds_rem(X1,X0,X2)
| ~ part_of(s,X0)
| ~ subjection(s) ),
inference(resolution,[status(thm)],[f24,f16]) ).
fof(f29,definition,
( sQ0_spl
<=> subjection(s) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f31,plain,
( sQ0_spl
| ~ subjection(s) ),
inference(component_clause,[status(thm)],[f29]) ).
fof(f32,definition,
! [X0,X1,X2] :
( sQ1_spl
<=> ( about_event(s,X1)
| ~ founds_rem(X1,X0,X2)
| ~ part_of(s,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| about_event(s,X1)
| ~ founds_rem(X1,X0,X2)
| ~ part_of(s,X0) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f28,f29,f32]) ).
fof(f36,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f31,f23]) ).
fof(f37,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f36]) ).
fof(f38,plain,
( ~ sQ1_spl
| about_event(s,e1)
| ~ part_of(s,rho_r) ),
inference(resolution,[status(thm)],[f33,f26]) ).
fof(f39,definition,
( sQ2_spl
<=> part_of(s,rho_r) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f41,plain,
( sQ2_spl
| ~ part_of(s,rho_r) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,definition,
( sQ3_spl
<=> about_event(s,e1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f43,plain,
( ~ sQ3_spl
| about_event(s,e1) ),
inference(component_clause,[status(thm)],[f42]) ).
fof(f45,plain,
( ~ sQ1_spl
| sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f38,f39,f42,f32]) ).
fof(f46,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f41,f25]) ).
fof(f47,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f46]) ).
fof(f48,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f27]) ).
fof(f49,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f48]) ).
fof(f50,plain,
$false,
inference(sat_refutation,[status(thm)],[f35,f37,f45,f47,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:21:56 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.055975 seconds
% 0.13/0.42 % CPU time: 0.169944 seconds
% 0.13/0.42 % Total memory used: 55.449 MB
% 0.13/0.42 % Net memory used: 54.989 MB
%------------------------------------------------------------------------------