%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUN088+3 : TPTP v9.3.1. Released v7.3.0.
% 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 : n016.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 08:53:52 AM UTC 2026
% Result : Theorem 0.13s 0.45s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 45 ( 14 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 22 ~; 14 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 1 sgn 13 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_7a,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
file('NUM008+0.ax',axiom_7a) ).
fof(zerouneqone2,conjecture,
! [Y0] :
( ~ r1(Y0)
| ! [Y1] :
( ~ r2(Y0,Y1)
| Y0 != Y1 ) ),
file('theBenchmark.p',zerouneqone2) ).
fof(f_11_1,plain,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
inference(fof_nnf,[status(thm)],[axiom_7a]) ).
fof(f_11_2,plain,
! [U_42,U_41] :
( ~ r2(U_42,U_41)
| ! [U_40] :
( U_40 != U_41
| ~ r1(U_40) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( ~ r2(U_42,U_41)
| U_40 != U_41
| ~ r1(U_40) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,negated_conjecture,
~ ! [Y0] :
( ~ r1(Y0)
| ! [Y1] :
( ~ r2(Y0,Y1)
| Y0 != Y1 ) ),
inference(negate,[status(cth)],[zerouneqone2]) ).
fof(f_12_2,negated_conjecture,
? [Y0] :
( r1(Y0)
& ? [Y1] :
( r2(Y0,Y1)
& Y0 = Y1 ) ),
inference(fof_nnf,[status(thm)],[f_12_1]) ).
fof(f_12_3,negated_conjecture,
? [U_44] :
( r1(U_44)
& ? [U_43] :
( r2(U_44,U_43)
& U_44 = U_43 ) ),
inference(variable_rename,[status(thm)],[f_12_2]) ).
fof(f_12_4,negated_conjecture,
( r1(sK21)
& ? [U_43] :
( r2(sK21,U_43)
& sK21 = U_43 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_44,sK21)],[f_12_3]) ).
fof(f_12_5,negated_conjecture,
( r1(sK21)
& r2(sK21,sK22)
& sK21 = sK22 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_43,sK22)],[f_12_4]) ).
fof(f_12_6,negated_conjecture,
( r1(sK21)
& r2(sK21,sK22)
& sK21 = sK22 ),
inference(definitional_conversion,[status(esa)],[f_12_5]) ).
cnf(f_12_7,negated_conjecture,
sK21 = sK22,
inference(clausify,[status(thm)],[f_12_6]) ).
cnf(f_12_8,negated_conjecture,
r2(sK21,sK22),
inference(clausify,[status(thm)],[f_12_6]) ).
cnf(f_12_9,negated_conjecture,
r1(sK21),
inference(clausify,[status(thm)],[f_12_6]) ).
cnf(t1,plain,
( sK21 != sK22
| ~ r2(sK21,sK22)
| ~ r1(sK21) ),
inference(start,[status(thm),parent(0:0)],[f_11_3]) ).
cnf(t2,plain,
r1(sK21),
inference(extension,[status(thm),parent(t1:1)],[f_12_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
r2(sK21,sK22),
inference(extension,[status(thm),parent(t1:2)],[f_12_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
sK21 = sK22,
inference(extension,[status(thm),parent(t1:3)],[f_12_7]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN088+3 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 19 19:39:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.13/0.45 % SZS status Theorem for theBenchmark
% 0.13/0.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------