%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT116+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 8 06:16:19 AM UTC 2026
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 19 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 31 ~; 28 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 39 ( 6 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax_B3,axiom,
! [S,A,T,Rho,E,R] :
( ( subjection(S)
& cnt(S,decl(A),T)
& part_of(S,Rho)
& founds_rem(E,Rho,R) )
=> about_event(S,E) ) ).
fof(subj_s,axiom,
subjection(s) ).
fof(cnt_s,axiom,
cnt(s,decl(some_action),some_target) ).
fof(partof_s,axiom,
part_of(s,rho_r) ).
fof(founds_rem1,axiom,
founds_rem(e1,rho_r,f1) ).
fof(conjecture,conjecture,
about_event(s,e1) ).
fof(subgoal_0,plain,
about_event(s,e1),
inference(strip,[],[conjecture]) ).
fof(negate_0_0,plain,
~ about_event(s,e1),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
founds_rem(e1,rho_r,f1),
inference(canonicalize,[],[founds_rem1]) ).
fof(normalize_0_1,plain,
cnt(s,decl(some_action),some_target),
inference(canonicalize,[],[cnt_s]) ).
fof(normalize_0_2,plain,
! [A,E,Rho,S,T] :
( ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ subjection(S)
| about_event(S,E)
| ! [R] : ~ founds_rem(E,Rho,R) ),
inference(canonicalize,[],[ax_B3]) ).
fof(normalize_0_3,plain,
! [A,E,Rho,S,T] :
( ~ cnt(S,decl(A),T)
| ~ part_of(S,Rho)
| ~ subjection(S)
| about_event(S,E)
| ! [R] : ~ founds_rem(E,Rho,R) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,E,R,Rho,S,T] :
( ~ cnt(S,decl(A),T)
| ~ founds_rem(E,Rho,R)
| ~ part_of(S,Rho)
| ~ subjection(S)
| about_event(S,E) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
subjection(s),
inference(canonicalize,[],[subj_s]) ).
fof(normalize_0_6,plain,
part_of(s,rho_r),
inference(canonicalize,[],[partof_s]) ).
fof(normalize_0_7,plain,
~ about_event(s,e1),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
founds_rem(e1,rho_r,f1),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
cnt(s,decl(some_action),some_target),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
( ~ cnt(S,decl(A),T)
| ~ founds_rem(E,Rho,R)
| ~ part_of(S,Rho)
| ~ subjection(S)
| about_event(S,E) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ cnt(s,decl(some_action),some_target)
| ~ founds_rem(X_1,X_3,X_2)
| ~ part_of(s,X_3)
| ~ subjection(s)
| about_event(s,X_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(some_action)),bind(E,$fot(X_1)),bind(R,$fot(X_2)),bind(Rho,$fot(X_3)),bind(S,$fot(s)),bind(T,$fot(some_target))]]) ).
cnf(refute_0_4,plain,
( ~ founds_rem(X_1,X_3,X_2)
| ~ part_of(s,X_3)
| ~ subjection(s)
| about_event(s,X_1) ),
inference(resolve,[$cnf( cnt(s,decl(some_action),some_target) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
subjection(s),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_6,plain,
( ~ founds_rem(X_1,X_3,X_2)
| ~ part_of(s,X_3)
| about_event(s,X_1) ),
inference(resolve,[$cnf( subjection(s) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
( ~ founds_rem(e1,rho_r,f1)
| ~ part_of(s,rho_r)
| about_event(s,e1) ),
inference(subst,[],[refute_0_6:[bind(X_1,$fot(e1)),bind(X_2,$fot(f1)),bind(X_3,$fot(rho_r))]]) ).
cnf(refute_0_8,plain,
( ~ part_of(s,rho_r)
| about_event(s,e1) ),
inference(resolve,[$cnf( founds_rem(e1,rho_r,f1) )],[refute_0_0,refute_0_7]) ).
cnf(refute_0_9,plain,
part_of(s,rho_r),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_10,plain,
about_event(s,e1),
inference(resolve,[$cnf( part_of(s,rho_r) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
~ about_event(s,e1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( about_event(s,e1) )],[refute_0_10,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT116+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.03 % Command : metis --show proof --show saturation %s
% 0.07/0.35 % Computer : n028.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 14:11:17 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36
%------------------------------------------------------------------------------