%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN352+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 : n020.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 09:10:08 AM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_18_4,conjecture,
! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,X2)
=> ( ( big_f(Y1,Y2)
=> ( big_f(Y2,Z)
| big_f(X2,Z) ) )
=> ( ( ( big_f(Y1,Y2)
=> ( big_f(X2,Z)
<=> big_f(Y1,Z) ) )
=> big_f(Z,Z) )
=> ( ( big_f(Y1,Z)
<=> big_f(Y2,Z) )
& big_f(Y1,Y2) ) ) ) ),
file('theBenchmark.p',church_46_18_4) ).
fof(f_1_1,negated_conjecture,
~ ! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,X2)
=> ( ( big_f(Y1,Y2)
=> ( big_f(Y2,Z)
| big_f(X2,Z) ) )
=> ( ( ( big_f(Y1,Y2)
=> ( big_f(X2,Z)
<=> big_f(Y1,Z) ) )
=> big_f(Z,Z) )
=> ( ( big_f(Y1,Z)
<=> big_f(Y2,Z) )
& big_f(Y1,Y2) ) ) ) ),
inference(negate,[status(cth)],[church_46_18_4]) ).
fof(f_1_2,negated_conjecture,
? [X1,X2] :
! [Y1,Y2] :
? [Z] :
( ( ( ~ big_f(Y1,Z)
& big_f(Y2,Z) )
| ( ~ big_f(Y2,Z)
& big_f(Y1,Z) )
| ~ big_f(Y1,Y2) )
& ( big_f(Z,Z)
| ( ( ( ~ big_f(X2,Z)
& big_f(Y1,Z) )
| ( ~ big_f(Y1,Z)
& big_f(X2,Z) ) )
& big_f(Y1,Y2) ) )
& ( big_f(Y2,Z)
| big_f(X2,Z)
| ~ big_f(Y1,Y2) )
& big_f(X1,X2) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_4,U_3] :
! [U_2,U_1] :
? [U_0] :
( ( ( ~ big_f(U_2,U_0)
& big_f(U_1,U_0) )
| ( ~ big_f(U_1,U_0)
& big_f(U_2,U_0) )
| ~ big_f(U_2,U_1) )
& ( big_f(U_0,U_0)
| ( ( ( ~ big_f(U_3,U_0)
& big_f(U_2,U_0) )
| ( ~ big_f(U_2,U_0)
& big_f(U_3,U_0) ) )
& big_f(U_2,U_1) ) )
& ( big_f(U_1,U_0)
| big_f(U_3,U_0)
| ~ big_f(U_2,U_1) )
& big_f(U_4,U_3) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
? [U_4,U_3] :
( ! [U_2,U_1] :
? [U_0] :
( ( ( ~ big_f(U_2,U_0)
& big_f(U_1,U_0) )
| ( ~ big_f(U_1,U_0)
& big_f(U_2,U_0) )
| ~ big_f(U_2,U_1) )
& ( big_f(U_0,U_0)
| ( ( ( ~ big_f(U_3,U_0)
& big_f(U_2,U_0) )
| ( ~ big_f(U_2,U_0)
& big_f(U_3,U_0) ) )
& big_f(U_2,U_1) ) )
& ( big_f(U_1,U_0)
| big_f(U_3,U_0)
| ~ big_f(U_2,U_1) ) )
& big_f(U_4,U_3) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
? [U_3] :
( ! [U_2,U_1] :
? [U_0] :
( ( ( ~ big_f(U_2,U_0)
& big_f(U_1,U_0) )
| ( ~ big_f(U_1,U_0)
& big_f(U_2,U_0) )
| ~ big_f(U_2,U_1) )
& ( big_f(U_0,U_0)
| ( ( ( ~ big_f(U_3,U_0)
& big_f(U_2,U_0) )
| ( ~ big_f(U_2,U_0)
& big_f(U_3,U_0) ) )
& big_f(U_2,U_1) ) )
& ( big_f(U_1,U_0)
| big_f(U_3,U_0)
| ~ big_f(U_2,U_1) ) )
& big_f(sK1,U_3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_4,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_2,U_1] :
? [U_0] :
( ( ( ~ big_f(U_2,U_0)
& big_f(U_1,U_0) )
| ( ~ big_f(U_1,U_0)
& big_f(U_2,U_0) )
| ~ big_f(U_2,U_1) )
& ( big_f(U_0,U_0)
| ( ( ( ~ big_f(sK2,U_0)
& big_f(U_2,U_0) )
| ( ~ big_f(U_2,U_0)
& big_f(sK2,U_0) ) )
& big_f(U_2,U_1) ) )
& ( big_f(U_1,U_0)
| big_f(sK2,U_0)
| ~ big_f(U_2,U_1) ) )
& big_f(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_3,sK2)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ! [U_2,U_1] :
( ( ( ~ big_f(U_2,sK3(U_2,U_1))
& big_f(U_1,sK3(U_2,U_1)) )
| ( ~ big_f(U_1,sK3(U_2,U_1))
& big_f(U_2,sK3(U_2,U_1)) )
| ~ big_f(U_2,U_1) )
& ( big_f(sK3(U_2,U_1),sK3(U_2,U_1))
| ( ( ( ~ big_f(sK2,sK3(U_2,U_1))
& big_f(U_2,sK3(U_2,U_1)) )
| ( ~ big_f(U_2,sK3(U_2,U_1))
& big_f(sK2,sK3(U_2,U_1)) ) )
& big_f(U_2,U_1) ) )
& ( big_f(U_1,sK3(U_2,U_1))
| big_f(sK2,sK3(U_2,U_1))
| ~ big_f(U_2,U_1) ) )
& big_f(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_0,sK3(U_2,U_1))],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ! [U_1,U_2] :
( ~ big_f(U_2,sK3(U_2,U_1))
| ~ sP4(U_1,U_2) )
& ! [U_1,U_2] :
( big_f(U_1,sK3(U_2,U_1))
| ~ sP4(U_1,U_2) )
& ! [U_1,U_2] :
( ~ big_f(U_1,sK3(U_2,U_1))
| ~ sP3(U_1,U_2) )
& ! [U_1,U_2] :
( big_f(U_2,sK3(U_2,U_1))
| ~ sP3(U_1,U_2) )
& ! [U_1,U_2] :
( ~ big_f(sK2,sK3(U_2,U_1))
| ~ sP1(U_1,U_2) )
& ! [U_1,U_2] :
( big_f(U_2,sK3(U_2,U_1))
| ~ sP1(U_1,U_2) )
& ! [U_1,U_2] :
( ~ big_f(U_2,sK3(U_2,U_1))
| ~ sP0(U_1,U_2) )
& ! [U_1,U_2] :
( big_f(sK2,sK3(U_2,U_1))
| ~ sP0(U_1,U_2) )
& ! [U_1,U_2] :
( sP1(U_1,U_2)
| sP0(U_1,U_2)
| ~ sP2(U_1,U_2) )
& ! [U_1,U_2] :
( big_f(U_2,U_1)
| ~ sP2(U_1,U_2) )
& ! [U_1,U_2] :
( sP4(U_1,U_2)
| sP3(U_1,U_2)
| ~ big_f(U_2,U_1) )
& ! [U_1,U_2] :
( big_f(sK3(U_2,U_1),sK3(U_2,U_1))
| sP2(U_1,U_2) )
& ! [U_1,U_2] :
( big_f(U_1,sK3(U_2,U_1))
| big_f(sK2,sK3(U_2,U_1))
| ~ big_f(U_2,U_1) )
& big_f(sK1,sK2) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4])],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
big_f(sK1,sK2),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_10,negated_conjecture,
( big_f(U_1,sK3(U_2,U_1))
| big_f(sK2,sK3(U_2,U_1))
| ~ big_f(U_2,U_1) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_11,negated_conjecture,
( big_f(sK3(U_2,U_1),sK3(U_2,U_1))
| sP2(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_12,negated_conjecture,
( sP4(U_1,U_2)
| sP3(U_1,U_2)
| ~ big_f(U_2,U_1) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_13,negated_conjecture,
( big_f(U_2,U_1)
| ~ sP2(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_14,negated_conjecture,
( sP1(U_1,U_2)
| sP0(U_1,U_2)
| ~ sP2(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_15,negated_conjecture,
( big_f(sK2,sK3(U_2,U_1))
| ~ sP0(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_16,negated_conjecture,
( ~ big_f(U_2,sK3(U_2,U_1))
| ~ sP0(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_17,negated_conjecture,
( big_f(U_2,sK3(U_2,U_1))
| ~ sP1(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_18,negated_conjecture,
( ~ big_f(sK2,sK3(U_2,U_1))
| ~ sP1(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_19,negated_conjecture,
( big_f(U_2,sK3(U_2,U_1))
| ~ sP3(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_20,negated_conjecture,
( ~ big_f(U_1,sK3(U_2,U_1))
| ~ sP3(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_21,negated_conjecture,
( big_f(U_1,sK3(U_2,U_1))
| ~ sP4(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_22,negated_conjecture,
( ~ big_f(U_2,sK3(U_2,U_1))
| ~ sP4(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN352+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
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 06:30:48 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------