%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 35 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 9 |; 2 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 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 : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl613,plain,
wf(lt,v600,v0,v1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl613) ).
fof(odrl613_negated,plain,
~ wf(lt,v600,v0,v1200),
inference(negate_conjecture,[status(cth)],[odrl613]) ).
cnf(91,plain,
~ wf(lt,v600,v0,v1200),
inference(cnf,[status(esa)],[odrl613_negated]) ).
cnf(l0,plain,
~ wf(lt,v600,v0,v1200),
inference(instantiation,[status(thm)],[91]) ).
fof(wf_lt,plain,
! [V,InfD,SupD] :
( wf(lt,V,InfD,SupD)
<=> ( leq(InfD,V)
& leq(V,SupD)
& V != InfD ) ),
file('Axioms/MGT002+8.ax',wf_lt) ).
cnf(57,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X0)
| wf(lt,X0,X2,X1)
| X0 = X2 ),
inference(cnf,[status(esa)],[wf_lt]) ).
cnf(l1,plain,
( ~ leq(v600,v1200)
| ~ leq(v0,v600)
| wf(lt,v600,v0,v1200)
| v600 = v0 ),
inference(instantiation,[status(thm)],[57]) ).
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(v600,v1200)
| leq(v600,v1200) ),
inference(instantiation,[status(thm)],[7]) ).
fof(ord_v600_v1200,plain,
less(v600,v1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v1200) ).
cnf(87,plain,
less(v600,v1200),
inference(cnf,[status(esa)],[ord_v600_v1200]) ).
cnf(l4,plain,
less(v600,v1200),
inference(instantiation,[status(thm)],[87]) ).
cnf(l8,plain,
( ~ less(v0,v600)
| leq(v0,v600) ),
inference(instantiation,[status(thm)],[7]) ).
fof(ord_v0_v600,plain,
less(v0,v600),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v600) ).
cnf(86,plain,
less(v0,v600),
inference(cnf,[status(esa)],[ord_v0_v600]) ).
cnf(l9,plain,
less(v0,v600),
inference(instantiation,[status(thm)],[86]) ).
cnf(l13,plain,
less(v0,v600),
inference(instantiation,[status(thm)],[86]) ).
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(l7,plain,
~ less(v0,v0),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l8,l9,l13,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 14:22:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % launching worker at depth: 1
% 0.10/0.36 % launching worker at depth: 6
% 0.10/0.36 % launching worker at depth: 7
% 0.10/0.36 % launching worker at depth: 3
% 0.10/0.36 % launching worker at depth: 4
% 0.10/0.36 % launching worker at depth: 5
% 0.10/0.36 % launching worker at depth: 8
% 0.10/0.36 % launching worker at depth: 2
% 0.10/0.36 % launching worker at depth: 9
% 0.10/0.36 % launching worker at depth: 10
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------