%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN331+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : 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 09:10:03 AM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_3,conjecture,
? [X,Y] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y,Z)
=> ( ( big_f(X,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(Z,Z)
| big_f(Y,X) )
=> ( big_f(Z,Y)
| big_f(Z,X) ) ) ) ) ),
file('theBenchmark.p',church_46_14_3) ).
fof(f_1_1,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y,Z)
=> ( ( big_f(X,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(Z,Z)
| big_f(Y,X) )
=> ( big_f(Z,Y)
| big_f(Z,X) ) ) ) ) ),
inference(negate,[status(cth)],[church_46_14_3]) ).
fof(f_1_2,negated_conjecture,
! [X,Y] :
? [Z] :
( ~ big_f(Z,Y)
& ~ big_f(Z,X)
& ( big_f(Z,Z)
| big_f(Y,X) )
& ( big_f(X,Y)
| ~ big_f(Z,Z) )
& ( big_f(Z,Z)
| ~ big_f(X,Y) )
& big_f(Y,Z)
& big_f(X,Z) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
! [U_2,U_1] :
? [U_0] :
( ~ big_f(U_0,U_1)
& ~ big_f(U_0,U_2)
& ( big_f(U_0,U_0)
| big_f(U_1,U_2) )
& ( big_f(U_2,U_1)
| ~ big_f(U_0,U_0) )
& ( big_f(U_0,U_0)
| ~ big_f(U_2,U_1) )
& big_f(U_1,U_0)
& big_f(U_2,U_0) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
! [U_2,U_1] :
( ~ big_f(sK1(U_2,U_1),U_1)
& ~ big_f(sK1(U_2,U_1),U_2)
& ( big_f(sK1(U_2,U_1),sK1(U_2,U_1))
| big_f(U_1,U_2) )
& ( big_f(U_2,U_1)
| ~ big_f(sK1(U_2,U_1),sK1(U_2,U_1)) )
& ( big_f(sK1(U_2,U_1),sK1(U_2,U_1))
| ~ big_f(U_2,U_1) )
& big_f(U_1,sK1(U_2,U_1))
& big_f(U_2,sK1(U_2,U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1(U_2,U_1))],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_2,U_1] : ~ big_f(sK1(U_2,U_1),U_1)
& ! [U_2,U_1] : ~ big_f(sK1(U_2,U_1),U_2)
& ! [U_2,U_1] :
( big_f(sK1(U_2,U_1),sK1(U_2,U_1))
| big_f(U_1,U_2) )
& ! [U_2,U_1] :
( big_f(U_2,U_1)
| ~ big_f(sK1(U_2,U_1),sK1(U_2,U_1)) )
& ! [U_2,U_1] :
( big_f(sK1(U_2,U_1),sK1(U_2,U_1))
| ~ big_f(U_2,U_1) )
& ! [U_2,U_1] : big_f(U_1,sK1(U_2,U_1))
& ! [U_2,U_1] : big_f(U_2,sK1(U_2,U_1)) ),
inference(definitional_conversion,[status(esa)],[f_1_4]) ).
cnf(f_1_6,negated_conjecture,
big_f(U_2,sK1(U_2,U_1)),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
big_f(U_1,sK1(U_2,U_1)),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_8,negated_conjecture,
( big_f(sK1(U_2,U_1),sK1(U_2,U_1))
| ~ big_f(U_2,U_1) ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_9,negated_conjecture,
( big_f(U_2,U_1)
| ~ big_f(sK1(U_2,U_1),sK1(U_2,U_1)) ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_10,negated_conjecture,
( big_f(sK1(U_2,U_1),sK1(U_2,U_1))
| big_f(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_11,negated_conjecture,
~ big_f(sK1(U_2,U_1),U_2),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_12,negated_conjecture,
~ big_f(sK1(U_2,U_1),U_1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN331+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 06:29:19 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------