%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET786+1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n026.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 08:57:26 AM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(thm25,conjecture,
~ ? [Y] :
! [X] :
( element(X,Y)
<=> ~ ? [Z] :
( element(Z,X)
& element(X,Z) ) ),
file('theBenchmark.p',thm25) ).
fof(f_1_1,negated_conjecture,
? [Y] :
! [X] :
( element(X,Y)
<=> ~ ? [Z] :
( element(Z,X)
& element(X,Z) ) ),
inference(negate,[status(cth)],[thm25]) ).
fof(f_1_2,negated_conjecture,
? [Y] :
! [X] :
( ( element(X,Y)
| ? [Z] :
( element(Z,X)
& element(X,Z) ) )
& ( ! [Z] :
( ~ element(Z,X)
| ~ element(X,Z) )
| ~ element(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_3] :
! [U_2] :
( ( element(U_2,U_3)
| ? [U_1] :
( element(U_1,U_2)
& element(U_2,U_1) ) )
& ( ! [U_0] :
( ~ element(U_0,U_2)
| ~ element(U_2,U_0) )
| ~ element(U_2,U_3) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
? [U_3] :
( ! [U_5] :
( element(U_5,U_3)
| ? [U_1] :
( element(U_1,U_5)
& element(U_5,U_1) ) )
& ! [U_4] :
( ! [U_0] :
( ~ element(U_0,U_4)
| ~ element(U_4,U_0) )
| ~ element(U_4,U_3) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_5] :
( element(U_5,sK1)
| ? [U_1] :
( element(U_1,U_5)
& element(U_5,U_1) ) )
& ! [U_4] :
( ! [U_0] :
( ~ element(U_0,U_4)
| ~ element(U_4,U_0) )
| ~ element(U_4,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_5] :
( element(U_5,sK1)
| ( element(sK2(U_5),U_5)
& element(U_5,sK2(U_5)) ) )
& ! [U_4] :
( ! [U_0] :
( ~ element(U_0,U_4)
| ~ element(U_4,U_0) )
| ~ element(U_4,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2(U_5))],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ! [U_5] :
( element(sK2(U_5),U_5)
| ~ sP0(U_5) )
& ! [U_5] :
( element(U_5,sK2(U_5))
| ~ sP0(U_5) )
& ! [U_5] :
( element(U_5,sK1)
| sP0(U_5) )
& ! [U_0,U_4] :
( ~ element(U_0,U_4)
| ~ element(U_4,U_0)
| ~ element(U_4,sK1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
( ~ element(U_0,U_4)
| ~ element(U_4,U_0)
| ~ element(U_4,sK1) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
( element(U_5,sK1)
| sP0(U_5) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
( element(U_5,sK2(U_5))
| ~ sP0(U_5) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_11,negated_conjecture,
( element(sK2(U_5),U_5)
| ~ sP0(U_5) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET786+1 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 23:01:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % SZS status Theorem for theBenchmark
% 0.10/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------