%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT103+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 08:50:52 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.49s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 10 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexive,axiom,
! [X] : ~ less(X,X),
file('MGT002+0.ax',irreflexive) ).
fof(transitive,axiom,
! [X,Y,Z] :
( ( less(Y,Z)
& less(X,Y) )
=> less(X,Z) ),
file('MGT002+0.ax',transitive) ).
fof(contradiction,axiom,
( less(v600,v800)
& less(v800,v600) ),
file('theBenchmark.p',contradiction) ).
fof(f_1_1,plain,
! [X] : ~ less(X,X),
inference(fof_nnf,[status(thm)],[irreflexive]) ).
fof(f_1_2,plain,
! [U_0] : ~ less(U_0,U_0),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_0] : ~ less(U_0,U_0),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
~ less(U_0,U_0),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X,Y,Z] :
( less(X,Z)
| ~ less(Y,Z)
| ~ less(X,Y) ),
inference(fof_nnf,[status(thm)],[transitive]) ).
fof(f_2_2,plain,
! [U_3,U_2,U_1] :
( less(U_3,U_1)
| ~ less(U_2,U_1)
| ~ less(U_3,U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_3,U_2,U_1] :
( less(U_3,U_1)
| ~ less(U_2,U_1)
| ~ less(U_3,U_2) ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( less(U_3,U_1)
| ~ less(U_2,U_1)
| ~ less(U_3,U_2) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_34_1,plain,
( less(v600,v800)
& less(v800,v600) ),
inference(fof_nnf,[status(thm)],[contradiction]) ).
fof(f_34_2,plain,
( less(v600,v800)
& less(v800,v600) ),
inference(definitional_conversion,[status(esa)],[f_34_1]) ).
cnf(f_34_3,plain,
less(v800,v600),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(f_34_4,plain,
less(v600,v800),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(t1,plain,
~ less(v600,v600),
inference(start,[status(thm),parent(0:0)],[f_1_4]) ).
cnf(t2,plain,
( ~ less(v800,v600)
| ~ less(v600,v800)
| less(v600,v600) ),
inference(extension,[status(thm),parent(t1:1)],[f_2_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
less(v600,v800),
inference(extension,[status(thm),parent(t2:2)],[f_34_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
less(v800,v600),
inference(extension,[status(thm),parent(t2:3)],[f_34_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT103+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 This is a FOF_UNS_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 16:21:38 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.22/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------