%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET044+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n011.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 08:56:03 AM UTC 2026
% Result : Theorem 0.11s 0.59s
% Output : Proof 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(pel40,conjecture,
( ? [Y] :
! [X] :
( element(X,Y)
<=> element(X,X) )
=> ~ ! [X1] :
? [Y1] :
! [Z] :
( element(Z,Y1)
<=> ~ element(Z,X1) ) ),
file('theBenchmark.p',pel40) ).
fof(f_1_1,negated_conjecture,
( ! [X1] :
? [Y1] :
! [Z] :
( element(Z,Y1)
<=> ~ element(Z,X1) )
& ? [Y] :
! [X] :
( element(X,Y)
<=> element(X,X) ) ),
inference(negate,[status(cth)],[pel40]) ).
fof(f_1_2,negated_conjecture,
( ! [X1] :
? [Y1] :
! [Z] :
( ( element(Z,Y1)
| element(Z,X1) )
& ( ~ element(Z,X1)
| ~ element(Z,Y1) ) )
& ? [Y] :
! [X] :
( ( element(X,Y)
| ~ element(X,X) )
& ( element(X,X)
| ~ element(X,Y) ) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ! [U_4] :
? [U_3] :
! [U_2] :
( ( element(U_2,U_3)
| element(U_2,U_4) )
& ( ~ element(U_2,U_4)
| ~ element(U_2,U_3) ) )
& ? [U_1] :
! [U_0] :
( ( element(U_0,U_1)
| ~ element(U_0,U_0) )
& ( element(U_0,U_0)
| ~ element(U_0,U_1) ) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ! [U_4] :
? [U_3] :
( ! [U_8] :
( element(U_8,U_3)
| element(U_8,U_4) )
& ! [U_7] :
( ~ element(U_7,U_4)
| ~ element(U_7,U_3) ) )
& ? [U_1] :
( ! [U_6] :
( element(U_6,U_1)
| ~ element(U_6,U_6) )
& ! [U_5] :
( element(U_5,U_5)
| ~ element(U_5,U_1) ) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_4] :
? [U_3] :
( ! [U_8] :
( element(U_8,U_3)
| element(U_8,U_4) )
& ! [U_7] :
( ~ element(U_7,U_4)
| ~ element(U_7,U_3) ) )
& ! [U_6] :
( element(U_6,sK1)
| ~ element(U_6,U_6) )
& ! [U_5] :
( element(U_5,U_5)
| ~ element(U_5,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_1,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_4] :
( ! [U_8] :
( element(U_8,sK2(U_4))
| element(U_8,U_4) )
& ! [U_7] :
( ~ element(U_7,U_4)
| ~ element(U_7,sK2(U_4)) ) )
& ! [U_6] :
( element(U_6,sK1)
| ~ element(U_6,U_6) )
& ! [U_5] :
( element(U_5,U_5)
| ~ element(U_5,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_3,sK2(U_4))],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ! [U_8,U_4] :
( element(U_8,sK2(U_4))
| element(U_8,U_4) )
& ! [U_7,U_4] :
( ~ element(U_7,U_4)
| ~ element(U_7,sK2(U_4)) )
& ! [U_6] :
( element(U_6,sK1)
| ~ element(U_6,U_6) )
& ! [U_5] :
( element(U_5,U_5)
| ~ element(U_5,sK1) ) ),
inference(definitional_conversion,[status(esa)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
( element(U_5,U_5)
| ~ element(U_5,sK1) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
( element(U_6,sK1)
| ~ element(U_6,U_6) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
( ~ element(U_7,U_4)
| ~ element(U_7,sK2(U_4)) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_11,negated_conjecture,
( element(U_8,sK2(U_4))
| element(U_8,U_4) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.11/0.56 % Computer : n011.cluster.edu
% 0.11/0.56 % Model : x86_64 x86_64
% 0.11/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56 % Memory : 8046.5625MB
% 0.11/0.56 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Sat Sep 19 21:33:09 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.11/0.59 % SZS status Theorem for theBenchmark
% 0.11/0.59 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------