%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM632+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/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 08:52:54 AM UTC 2026
% Result : Theorem 8.35s 13.61s
% Output : Proof 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 16 unt; 0 def)
% Number of atoms : 22 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5321,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
file('theBenchmark.p',m__5321) ).
fof(m__5568,hypothesis,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('theBenchmark.p',m__5568) ).
fof(m__,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
file('theBenchmark.p',m__) ).
fof(f_112_1,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(fof_nnf,[status(thm)],[m__5321]) ).
cnf(f_112_2,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(clausify,[status(thm)],[f_112_1]) ).
fof(f_114_1,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(fof_nnf,[status(thm)],[m__5568]) ).
cnf(f_114_2,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(clausify,[status(thm)],[f_114_1]) ).
fof(f_115_1,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(negate,[status(cth)],[m__]) ).
fof(f_115_2,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(definitional_conversion,[status(esa)],[f_115_1]) ).
cnf(f_115_3,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(clausify,[status(thm)],[f_115_2]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(t1,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(start,[status(thm),parent(0:0)],[f_115_3]) ).
cnf(t2,plain,
( sdtlpdtrp0(xd,xn) != szDzizrdt0(xd)
| sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn)
| sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ),
inference(extension,[status(thm),parent(t1:1)],[equality_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(extension,[status(thm),parent(t2:2)],[f_114_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(extension,[status(thm),parent(t2:3)],[f_112_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM632+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.39 % Computer : n010.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Sat Sep 19 19:01:31 UTC 2026
% 0.10/5.39 % CPUTime :
% 8.35/13.61 % SZS status Theorem for theBenchmark
% 8.35/13.61 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------