%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM425+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 : n014.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 08:52:12 AM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 36 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 11 ~; 5 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 3 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__724,hypothesis,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ) ),
file('theBenchmark.p',m__724) ).
fof(m__,conjecture,
? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ),
file('theBenchmark.p',m__) ).
fof(f_22_1,plain,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ) ),
inference(fof_nnf,[status(thm)],[m__724]) ).
fof(f_22_2,plain,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [U_37] :
( sdtasdt0(xq,U_37) = sdtpldt0(xa,smndt0(xb))
& aInteger0(U_37) ) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdtasdt0(xq,sK2) = sdtpldt0(xa,smndt0(xb))
& aInteger0(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_37,sK2)],[f_22_2]) ).
cnf(f_22_4,plain,
aInteger0(sK2),
inference(clausify,[status(thm)],[f_22_3]) ).
cnf(f_22_5,plain,
sdtasdt0(xq,sK2) = sdtpldt0(xa,smndt0(xb)),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,negated_conjecture,
~ ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_23_2,negated_conjecture,
! [W0] :
( sdtasdt0(xq,W0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(W0) ),
inference(fof_nnf,[status(thm)],[f_23_1]) ).
fof(f_23_3,negated_conjecture,
! [U_38] :
( sdtasdt0(xq,U_38) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(U_38) ),
inference(variable_rename,[status(thm)],[f_23_2]) ).
fof(f_23_4,negated_conjecture,
! [U_38] :
( sdtasdt0(xq,U_38) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(U_38) ),
inference(definitional_conversion,[status(esa)],[f_23_3]) ).
cnf(f_23_5,negated_conjecture,
( sdtasdt0(xq,U_38) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(U_38) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(t1,plain,
( sdtasdt0(xq,sK2) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(sK2) ),
inference(start,[status(thm),parent(0:0)],[f_23_5]) ).
cnf(t2,plain,
aInteger0(sK2),
inference(extension,[status(thm),parent(t1:1)],[f_22_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
sdtasdt0(xq,sK2) = sdtpldt0(xa,smndt0(xb)),
inference(extension,[status(thm),parent(t1:2)],[f_22_5]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM425+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % 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 : n014.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
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 19 18:23:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.41 % SZS status Theorem for theBenchmark
% 0.13/0.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------