%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 06:11:34 AM UTC 2026
% Result : Unsatisfiable 5.29s 1.14s
% Output : CNFRefutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 19 unt; 0 def)
% Number of atoms : 75 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 25 ~; 26 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 37 ( 2 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(trichotomy,plain,
! [X,Y] :
( less(X,Y)
| X = Y
| less(Y,X) ),
file('Axioms/MGT002+0.ax',trichotomy) ).
cnf(2,plain,
( X0 = X1
| less(X0,X1)
| less(X1,X0) ),
inference(cnf,[status(esa)],[trichotomy]) ).
cnf(l0,plain,
( v800 = v600
| less(v800,v600)
| less(v600,v800) ),
inference(instantiation,[status(thm)],[2]) ).
fof(in_open,plain,
! [X,A,B] :
( in_open(X,A,B)
<=> ( less(A,X)
& less(X,B) ) ),
file('Axioms/MGT002+2.ax',in_open) ).
cnf(22,plain,
( ~ less(X0,X1)
| ~ less(X2,X0)
| in_open(X0,X2,X1) ),
inference(cnf,[status(esa)],[in_open]) ).
cnf(l40,plain,
( ~ less(v600,v800)
| ~ less(v0,v600)
| in_open(v600,v0,v800) ),
inference(instantiation,[status(thm)],[22]) ).
fof(ord_v0_v600,plain,
less(v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
cnf(48,plain,
less(v0,v600),
inference(cnf,[status(esa)],[ord_v0_v600]) ).
cnf(l44,plain,
less(v0,v600),
inference(instantiation,[status(thm)],[48]) ).
fof(less_leq_trans,plain,
! [X,Y,Z] :
( ( less(X,Y)
& leq(Y,Z) )
=> less(X,Z) ),
file('Axioms/MGT002+0.ax',less_leq_trans) ).
cnf(9,plain,
( ~ leq(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
inference(cnf,[status(esa)],[less_leq_trans]) ).
cnf(l1,plain,
( ~ leq(v600,v800)
| ~ less(v800,v600)
| less(v800,v800) ),
inference(instantiation,[status(thm)],[9]) ).
fof(ord_v600_v800,plain,
less(v600,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).
cnf(49,plain,
less(v600,v800),
inference(cnf,[status(esa)],[ord_v600_v800]) ).
cnf(l41,plain,
less(v600,v800),
inference(instantiation,[status(thm)],[49]) ).
fof(less_implies_leq,plain,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('Axioms/MGT002+0.ax',less_implies_leq) ).
cnf(7,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf,[status(esa)],[less_implies_leq]) ).
cnf(l14,plain,
( ~ less(v600,v800)
| leq(v600,v800) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(21,plain,
( ~ in_open(X0,X1,X2)
| less(X0,X2) ),
inference(cnf,[status(esa)],[in_open]) ).
cnf(l15,plain,
( ~ in_open(v600,v0,v600)
| less(v600,v600) ),
inference(instantiation,[status(thm)],[21]) ).
fof(irreflexive,plain,
! [X] : ~ less(X,X),
file('Axioms/MGT002+0.ax',irreflexive) ).
cnf(0,plain,
~ less(X0,X0),
inference(cnf,[status(esa)],[irreflexive]) ).
cnf(l19,plain,
~ less(v600,v600),
inference(instantiation,[status(thm)],[0]) ).
cnf(l33,plain,
less(v600,v800),
inference(instantiation,[status(thm)],[49]) ).
fof(leq_less_trans,plain,
! [X,Y,Z] :
( ( leq(X,Y)
& less(Y,Z) )
=> less(X,Z) ),
file('Axioms/MGT002+0.ax',leq_less_trans) ).
cnf(8,plain,
( ~ leq(X0,X1)
| ~ less(X1,X2)
| less(X0,X2) ),
inference(cnf,[status(esa)],[leq_less_trans]) ).
cnf(l10,plain,
( ~ leq(w,v600)
| ~ less(v600,v800)
| less(w,v800) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l3,plain,
~ less(v800,v800),
inference(instantiation,[status(thm)],[0]) ).
fof(in_lopen,plain,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( less(A,X)
& leq(X,B) ) ),
file('Axioms/MGT002+2.ax',in_lopen) ).
cnf(15,plain,
( ~ in_lopen(X0,X1,X2)
| leq(X0,X2) ),
inference(cnf,[status(esa)],[in_lopen]) ).
cnf(l11,plain,
( ~ in_lopen(w,v0,v600)
| leq(w,v600) ),
inference(instantiation,[status(thm)],[15]) ).
fof(wit_in_lopen,plain,
in_lopen(w,v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wit_in_lopen) ).
cnf(54,plain,
in_lopen(w,v0,v600),
inference(cnf,[status(esa)],[wit_in_lopen]) ).
cnf(l45,plain,
in_lopen(w,v0,v600),
inference(instantiation,[status(thm)],[54]) ).
cnf(l13,plain,
( ~ leq(v800,w)
| ~ less(w,v800)
| less(w,w) ),
inference(instantiation,[status(thm)],[9]) ).
fof(wit_leq,plain,
leq(v800,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wit_leq) ).
cnf(55,plain,
leq(v800,w),
inference(cnf,[status(esa)],[wit_leq]) ).
cnf(l24,plain,
leq(v800,w),
inference(instantiation,[status(thm)],[55]) ).
cnf(l21,plain,
~ less(w,w),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l40,l44,l1,l41,l14,l15,l19,l33,l10,l3,l11,l45,l13,l24,l21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n014.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 7 14:42:26 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.42 % launching worker at depth: 1
% 0.14/0.42 % launching worker at depth: 8
% 0.14/0.42 % launching worker at depth: 3
% 0.14/0.42 % launching worker at depth: 4
% 0.14/0.42 % launching worker at depth: 5
% 0.14/0.42 % launching worker at depth: 6
% 0.14/0.42 % launching worker at depth: 7
% 0.14/0.42 % launching worker at depth: 2
% 0.14/0.43 % launching worker at depth: 9
% 0.86/0.53 % launching worker at depth: 10
% 5.29/1.14 % SZS status Theorem for theBenchmark
% 5.29/1.14 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------