%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV145+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 : n011.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 09:02:48 AM UTC 2026
% Result : Theorem 3.48s 18.87s
% Output : Proof 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 8 |; 5 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_leq,axiom,
! [X] : leq(X,X),
file('SWV003+0.ax',reflexivity_leq) ).
fof(leq_succ_succ,axiom,
! [X,Y] :
( leq(succ(X),succ(Y))
<=> leq(X,Y) ),
file('SWV003+0.ax',leq_succ_succ) ).
fof(gauss_array_0015,conjecture,
( ~ leq(tptp_float_0_001,tptp_float_0_001)
=> leq(n0,s_best7) ),
file('theBenchmark.p',gauss_array_0015) ).
fof(f_4_1,plain,
! [X] : leq(X,X),
inference(fof_nnf,[status(thm)],[reflexivity_leq]) ).
fof(f_4_2,plain,
! [U_6] : leq(U_6,U_6),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
leq(U_6,U_6),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_42_1,plain,
! [X,Y] :
( ( leq(succ(X),succ(Y))
| ~ leq(X,Y) )
& ( leq(X,Y)
| ~ leq(succ(X),succ(Y)) ) ),
inference(fof_nnf,[status(thm)],[leq_succ_succ]) ).
fof(f_42_2,plain,
! [U_141,U_140] :
( ( leq(succ(U_141),succ(U_140))
| ~ leq(U_141,U_140) )
& ( leq(U_141,U_140)
| ~ leq(succ(U_141),succ(U_140)) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_145,U_143] :
( leq(succ(U_145),succ(U_143))
| ~ leq(U_145,U_143) )
& ! [U_144,U_142] :
( leq(U_144,U_142)
| ~ leq(succ(U_144),succ(U_142)) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
cnf(f_42_4,plain,
( leq(U_144,U_142)
| ~ leq(succ(U_144),succ(U_142)) ),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_53_1,negated_conjecture,
( ~ leq(n0,s_best7)
& ~ leq(tptp_float_0_001,tptp_float_0_001) ),
inference(negate,[status(cth)],[gauss_array_0015]) ).
fof(f_53_2,negated_conjecture,
( ~ leq(n0,s_best7)
& ~ leq(tptp_float_0_001,tptp_float_0_001) ),
inference(definitional_conversion,[status(esa)],[f_53_1]) ).
cnf(f_53_3,negated_conjecture,
~ leq(tptp_float_0_001,tptp_float_0_001),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(t1,plain,
~ leq(tptp_float_0_001,tptp_float_0_001),
inference(start,[status(thm),parent(0:0)],[f_53_3]) ).
cnf(t2,plain,
( ~ leq(succ(tptp_float_0_001),succ(tptp_float_0_001))
| leq(tptp_float_0_001,tptp_float_0_001) ),
inference(extension,[status(thm),parent(t1:1)],[f_42_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
leq(succ(tptp_float_0_001),succ(tptp_float_0_001)),
inference(extension,[status(thm),parent(t2:2)],[f_4_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV145+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 This is a FOF_THM_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
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.63 % CPULimit : 300
% 0.07/15.63 % WCLimit : 300
% 0.07/15.63 % DateTime : Sun Sep 20 03:05:01 UTC 2026
% 0.07/15.63 % CPUTime :
% 3.48/18.87 % SZS status Theorem for theBenchmark
% 3.48/18.87 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------