%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL648+1.001 : 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 : n008.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 08:49:41 AM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 73 ( 34 ~; 20 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 9 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ ( p101(Y)
& p201(Y) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( p101(Y)
& p201(Y) )
| ~ r1(X,Y) ) ),
file('theBenchmark.p',main) ).
fof(f_1_1,negated_conjecture,
? [X] :
~ ( ! [Y] :
( ~ ( p101(Y)
& p201(Y) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( p101(Y)
& p201(Y) )
| ~ r1(X,Y) ) ),
inference(negate,[status(cth)],[main]) ).
fof(f_1_2,negated_conjecture,
? [X] :
( ? [Y] :
( p101(Y)
& p201(Y)
& r1(X,Y) )
& ! [Y] :
( ~ p101(Y)
| ~ p201(Y)
| ~ r1(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_2] :
( ? [U_1] :
( p101(U_1)
& p201(U_1)
& r1(U_2,U_1) )
& ! [U_0] :
( ~ p101(U_0)
| ~ p201(U_0)
| ~ r1(U_2,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_1] :
( p101(U_1)
& p201(U_1)
& r1(sK1,U_1) )
& ! [U_0] :
( ~ p101(U_0)
| ~ p201(U_0)
| ~ r1(sK1,U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( p101(sK2)
& p201(sK2)
& r1(sK1,sK2)
& ! [U_0] :
( ~ p101(U_0)
| ~ p201(U_0)
| ~ r1(sK1,U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( p101(sK2)
& p201(sK2)
& r1(sK1,sK2)
& ! [U_0] :
( ~ p101(U_0)
| ~ p201(U_0)
| ~ r1(sK1,U_0) ) ),
inference(definitional_conversion,[status(esa)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
( ~ p101(U_0)
| ~ p201(U_0)
| ~ r1(sK1,U_0) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
r1(sK1,sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_9,negated_conjecture,
p201(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_10,negated_conjecture,
p101(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(t1,plain,
( ~ p201(sK2)
| ~ p101(sK2)
| ~ r1(sK1,sK2) ),
inference(start,[status(thm),parent(0:0)],[f_1_7]) ).
cnf(t2,plain,
r1(sK1,sK2),
inference(extension,[status(thm),parent(t1:1)],[f_1_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
p101(sK2),
inference(extension,[status(thm),parent(t1:2)],[f_1_10]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
p201(sK2),
inference(extension,[status(thm),parent(t1:3)],[f_1_9]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 15:25:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------