%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% 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 : n020.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 08:52:51 AM UTC 2026
% Result : Theorem 30.14s 45.48s
% Output : Proof 30.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 48 ( 19 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 14 |; 13 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 5 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5182,hypothesis,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('theBenchmark.p',m__5182) ).
fof(m__,conjecture,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
file('theBenchmark.p',m__) ).
fof(f_106_1,plain,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(fof_nnf,[status(thm)],[m__5182]) ).
fof(f_106_2,plain,
? [U_351] :
( sdtlpdtrp0(xe,U_351) = xp
& aElementOf0(U_351,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
( sdtlpdtrp0(xe,sK55) = xp
& aElementOf0(sK55,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_351,sK55)],[f_106_2]) ).
fof(f_106_4,plain,
( sdtlpdtrp0(xe,sK55) = xp
& aElementOf0(sK55,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(definitional_conversion,[status(esa)],[f_106_3]) ).
cnf(f_106_5,plain,
aElementOf0(sK55,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(clausify,[status(thm)],[f_106_4]) ).
cnf(f_106_6,plain,
sdtlpdtrp0(xe,sK55) = xp,
inference(clausify,[status(thm)],[f_106_4]) ).
fof(f_111_1,negated_conjecture,
~ ? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_111_2,negated_conjecture,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xd,W0) != szDzizrdt0(xd)
| ~ aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
inference(fof_nnf,[status(thm)],[f_111_1]) ).
fof(f_111_3,negated_conjecture,
! [U_354] :
( sdtlpdtrp0(xe,U_354) != xp
| ( ~ aElementOf0(U_354,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xd,U_354) != szDzizrdt0(xd)
| ~ aElementOf0(U_354,szDzozmdt0(xd)) ) ) ),
inference(variable_rename,[status(thm)],[f_111_2]) ).
fof(f_111_4,negated_conjecture,
( ! [U_354] :
( ~ aElementOf0(U_354,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sP126(U_354) )
& ! [U_354] :
( sdtlpdtrp0(xd,U_354) != szDzizrdt0(xd)
| ~ aElementOf0(U_354,szDzozmdt0(xd))
| ~ sP126(U_354) )
& ! [U_354] :
( sdtlpdtrp0(xe,U_354) != xp
| sP126(U_354) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP126])],[f_111_3]) ).
cnf(f_111_5,negated_conjecture,
( sdtlpdtrp0(xe,U_354) != xp
| sP126(U_354) ),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_7,negated_conjecture,
( ~ aElementOf0(U_354,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sP126(U_354) ),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(t1,plain,
( sdtlpdtrp0(xe,sK55) != xp
| sP126(sK55) ),
inference(start,[status(thm),parent(0:0)],[f_111_5]) ).
cnf(t2,plain,
( ~ aElementOf0(sK55,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sP126(sK55) ),
inference(extension,[status(thm),parent(t1:1)],[f_111_7]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
aElementOf0(sK55,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(extension,[status(thm),parent(t2:2)],[f_106_5]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
sdtlpdtrp0(xe,sK55) = xp,
inference(extension,[status(thm),parent(t1:2)],[f_106_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM615+3 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.38 % Computer : n020.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Sat Sep 19 19:00:18 UTC 2026
% 0.10/15.39 % CPUTime :
% 30.14/45.48 % SZS status Theorem for theBenchmark
% 30.14/45.48 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------