%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT092+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 : n004.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 06:11:33 AM UTC 2026
% Result : Theorem 0.88s 0.49s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 55 ( 1 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 46 ( 20 ~; 18 |; 4 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl633,plain,
completion_conflict(v400,v800,v0,v1200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl633) ).
fof(odrl633_negated,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(negate_conjecture,[status(cth)],[odrl633]) ).
cnf(64,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(cnf,[status(esa)],[odrl633_negated]) ).
cnf(l0,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(instantiation,[status(thm)],[64]) ).
fof(sharpness_conflict,plain,
! [U,V,InfD,SupD] :
( ( leq(InfD,U)
& leq(U,SupD)
& less(U,V)
& leq(V,SupD) )
=> completion_conflict(U,V,InfD,SupD) ),
file('Axioms/MGT002+4.ax',sharpness_conflict) ).
cnf(14,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(X3,X0)
| ~ less(X0,X2)
| completion_conflict(X0,X2,X3,X1) ),
inference(cnf,[status(esa)],[sharpness_conflict]) ).
cnf(l1,plain,
( ~ leq(v400,v1200)
| ~ leq(v800,v1200)
| ~ leq(v0,v400)
| ~ less(v400,v800)
| completion_conflict(v400,v800,v0,v1200) ),
inference(instantiation,[status(thm)],[14]) ).
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(l2,plain,
( ~ less(v400,v1200)
| leq(v400,v1200) ),
inference(instantiation,[status(thm)],[7]) ).
fof(transitive,plain,
! [X,Y,Z] :
( ( less(X,Y)
& less(Y,Z) )
=> less(X,Z) ),
file('Axioms/MGT002+0.ax',transitive) ).
cnf(1,plain,
( ~ less(X0,X1)
| ~ less(X1,X2)
| less(X0,X2) ),
inference(cnf,[status(esa)],[transitive]) ).
cnf(l10,plain,
( ~ less(v400,v800)
| ~ less(v800,v1200)
| less(v400,v1200) ),
inference(instantiation,[status(thm)],[1]) ).
fof(leq_def,plain,
! [X,Y] :
( leq(X,Y)
<=> ( less(X,Y)
| X = Y ) ),
file('Axioms/MGT002+0.ax',leq_def) ).
cnf(4,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf,[status(esa)],[leq_def]) ).
cnf(l5,plain,
( ~ less(v0,v400)
| leq(v0,v400) ),
inference(instantiation,[status(thm)],[4]) ).
fof(ord_v0_v400,plain,
less(v0,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).
cnf(55,plain,
less(v0,v400),
inference(cnf,[status(esa)],[ord_v0_v400]) ).
cnf(l19,plain,
less(v0,v400),
inference(instantiation,[status(thm)],[55]) ).
fof(ord_v800_v1200,plain,
less(v800,v1200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v800_v1200) ).
cnf(57,plain,
less(v800,v1200),
inference(cnf,[status(esa)],[ord_v800_v1200]) ).
cnf(l28,plain,
less(v800,v1200),
inference(instantiation,[status(thm)],[57]) ).
fof(ord_v400_v800,plain,
less(v400,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v800) ).
cnf(56,plain,
less(v400,v800),
inference(cnf,[status(esa)],[ord_v400_v800]) ).
cnf(l13,plain,
less(v400,v800),
inference(instantiation,[status(thm)],[56]) ).
cnf(l3,plain,
( ~ less(v800,v1200)
| leq(v800,v1200) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l8,plain,
less(v800,v1200),
inference(instantiation,[status(thm)],[57]) ).
cnf(l4,plain,
less(v400,v800),
inference(instantiation,[status(thm)],[56]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l10,l5,l19,l28,l13,l3,l8,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 7 14:24:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.37 % launching worker at depth: 10
% 0.13/0.38 % launching worker at depth: 11
% 0.88/0.49 % SZS status Theorem for theBenchmark
% 0.88/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------