%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN349+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 : n002.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 0.14s 0.45s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_5,conjecture,
? [X1] :
! [X2] :
? [X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X2,X4) )
=> ( ( ( big_f(X1,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X2) ) ),
file('theBenchmark.p',church_46_17_5) ).
fof(f_1_1,negated_conjecture,
~ ? [X1] :
! [X2] :
? [X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X2,X4) )
=> ( ( ( big_f(X1,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X2) ) ),
inference(negate,[status(cth)],[church_46_17_5]) ).
fof(f_1_2,negated_conjecture,
! [X1] :
? [X2] :
! [X3] :
? [X4] :
( ( ( ( ( ( ( ~ big_f(X1,X4)
& big_f(X4,X3) )
| ( ~ big_f(X4,X3)
& big_f(X1,X4) ) )
& big_f(X3,X4) )
| ( ~ big_f(X3,X4)
& ( big_f(X1,X4)
| ~ big_f(X4,X3) )
& ( big_f(X4,X3)
| ~ big_f(X1,X4) ) ) )
& big_f(X4,X2) )
| ( ~ big_f(X4,X2)
& ( ( ( big_f(X1,X4)
| ~ big_f(X4,X3) )
& ( big_f(X4,X3)
| ~ big_f(X1,X4) ) )
| ~ big_f(X3,X4) )
& ( big_f(X3,X4)
| ( ~ big_f(X1,X4)
& big_f(X4,X3) )
| ( ~ big_f(X4,X3)
& big_f(X1,X4) ) ) ) )
& ( big_f(X1,X4)
| ~ big_f(X2,X4) )
& ( big_f(X2,X4)
| ~ big_f(X1,X4) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
! [U_3] :
? [U_2] :
! [U_1] :
? [U_0] :
( ( ( ( ( ( ( ~ big_f(U_3,U_0)
& big_f(U_0,U_1) )
| ( ~ big_f(U_0,U_1)
& big_f(U_3,U_0) ) )
& big_f(U_1,U_0) )
| ( ~ big_f(U_1,U_0)
& ( big_f(U_3,U_0)
| ~ big_f(U_0,U_1) )
& ( big_f(U_0,U_1)
| ~ big_f(U_3,U_0) ) ) )
& big_f(U_0,U_2) )
| ( ~ big_f(U_0,U_2)
& ( ( ( big_f(U_3,U_0)
| ~ big_f(U_0,U_1) )
& ( big_f(U_0,U_1)
| ~ big_f(U_3,U_0) ) )
| ~ big_f(U_1,U_0) )
& ( big_f(U_1,U_0)
| ( ~ big_f(U_3,U_0)
& big_f(U_0,U_1) )
| ( ~ big_f(U_0,U_1)
& big_f(U_3,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) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
! [U_3,U_1] :
? [U_0] :
( ( ( ( ( ( ( ~ big_f(U_3,U_0)
& big_f(U_0,U_1) )
| ( ~ big_f(U_0,U_1)
& big_f(U_3,U_0) ) )
& big_f(U_1,U_0) )
| ( ~ big_f(U_1,U_0)
& ( big_f(U_3,U_0)
| ~ big_f(U_0,U_1) )
& ( big_f(U_0,U_1)
| ~ big_f(U_3,U_0) ) ) )
& big_f(U_0,sK1(U_3)) )
| ( ~ big_f(U_0,sK1(U_3))
& ( ( ( big_f(U_3,U_0)
| ~ big_f(U_0,U_1) )
& ( big_f(U_0,U_1)
| ~ big_f(U_3,U_0) ) )
| ~ big_f(U_1,U_0) )
& ( big_f(U_1,U_0)
| ( ~ big_f(U_3,U_0)
& big_f(U_0,U_1) )
| ( ~ big_f(U_0,U_1)
& big_f(U_3,U_0) ) ) ) )
& ( big_f(U_3,U_0)
| ~ big_f(sK1(U_3),U_0) )
& ( big_f(sK1(U_3),U_0)
| ~ big_f(U_3,U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1(U_3))],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
! [U_3,U_1] :
( ( ( ( ( ( ( ~ big_f(U_3,sK2(U_3,U_1))
& big_f(sK2(U_3,U_1),U_1) )
| ( ~ big_f(sK2(U_3,U_1),U_1)
& big_f(U_3,sK2(U_3,U_1)) ) )
& big_f(U_1,sK2(U_3,U_1)) )
| ( ~ big_f(U_1,sK2(U_3,U_1))
& ( big_f(U_3,sK2(U_3,U_1))
| ~ big_f(sK2(U_3,U_1),U_1) )
& ( big_f(sK2(U_3,U_1),U_1)
| ~ big_f(U_3,sK2(U_3,U_1)) ) ) )
& big_f(sK2(U_3,U_1),sK1(U_3)) )
| ( ~ big_f(sK2(U_3,U_1),sK1(U_3))
& ( ( ( big_f(U_3,sK2(U_3,U_1))
| ~ big_f(sK2(U_3,U_1),U_1) )
& ( big_f(sK2(U_3,U_1),U_1)
| ~ big_f(U_3,sK2(U_3,U_1)) ) )
| ~ big_f(U_1,sK2(U_3,U_1)) )
& ( big_f(U_1,sK2(U_3,U_1))
| ( ~ big_f(U_3,sK2(U_3,U_1))
& big_f(sK2(U_3,U_1),U_1) )
| ( ~ big_f(sK2(U_3,U_1),U_1)
& big_f(U_3,sK2(U_3,U_1)) ) ) ) )
& ( big_f(U_3,sK2(U_3,U_1))
| ~ big_f(sK1(U_3),sK2(U_3,U_1)) )
& ( big_f(sK1(U_3),sK2(U_3,U_1))
| ~ big_f(U_3,sK2(U_3,U_1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_0,sK2(U_3,U_1))],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_1,U_3] :
( ~ big_f(U_3,sK2(U_3,U_1))
| ~ sP6(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(sK2(U_3,U_1),U_1)
| ~ sP6(U_1,U_3) )
& ! [U_1,U_3] :
( ~ big_f(sK2(U_3,U_1),U_1)
| ~ sP5(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(U_3,sK2(U_3,U_1))
| ~ sP5(U_1,U_3) )
& ! [U_1,U_3] :
( sP6(U_1,U_3)
| sP5(U_1,U_3)
| ~ sP7(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(U_1,sK2(U_3,U_1))
| ~ sP7(U_1,U_3) )
& ! [U_1,U_3] :
( ~ big_f(U_1,sK2(U_3,U_1))
| ~ sP4(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(U_3,sK2(U_3,U_1))
| ~ big_f(sK2(U_3,U_1),U_1)
| ~ sP4(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(sK2(U_3,U_1),U_1)
| ~ big_f(U_3,sK2(U_3,U_1))
| ~ sP4(U_1,U_3) )
& ! [U_1,U_3] :
( sP7(U_1,U_3)
| sP4(U_1,U_3)
| ~ sP8(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(sK2(U_3,U_1),sK1(U_3))
| ~ sP8(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(U_3,sK2(U_3,U_1))
| ~ big_f(sK2(U_3,U_1),U_1)
| ~ sP2(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(sK2(U_3,U_1),U_1)
| ~ big_f(U_3,sK2(U_3,U_1))
| ~ sP2(U_1,U_3) )
& ! [U_1,U_3] :
( ~ big_f(U_3,sK2(U_3,U_1))
| ~ sP1(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(sK2(U_3,U_1),U_1)
| ~ sP1(U_1,U_3) )
& ! [U_1,U_3] :
( ~ big_f(sK2(U_3,U_1),U_1)
| ~ sP0(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(U_3,sK2(U_3,U_1))
| ~ sP0(U_1,U_3) )
& ! [U_1,U_3] :
( ~ big_f(sK2(U_3,U_1),sK1(U_3))
| ~ sP3(U_1,U_3) )
& ! [U_1,U_3] :
( sP2(U_1,U_3)
| ~ big_f(U_1,sK2(U_3,U_1))
| ~ sP3(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(U_1,sK2(U_3,U_1))
| sP1(U_1,U_3)
| sP0(U_1,U_3)
| ~ sP3(U_1,U_3) )
& ! [U_1,U_3] :
( sP8(U_1,U_3)
| sP3(U_1,U_3) )
& ! [U_1,U_3] :
( big_f(U_3,sK2(U_3,U_1))
| ~ big_f(sK1(U_3),sK2(U_3,U_1)) )
& ! [U_1,U_3] :
( big_f(sK1(U_3),sK2(U_3,U_1))
| ~ big_f(U_3,sK2(U_3,U_1)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4,sP5,sP6,sP7,sP8])],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
( big_f(sK1(U_3),sK2(U_3,U_1))
| ~ big_f(U_3,sK2(U_3,U_1)) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
( big_f(U_3,sK2(U_3,U_1))
| ~ big_f(sK1(U_3),sK2(U_3,U_1)) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_9,negated_conjecture,
( sP8(U_1,U_3)
| sP3(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_10,negated_conjecture,
( big_f(U_1,sK2(U_3,U_1))
| sP1(U_1,U_3)
| sP0(U_1,U_3)
| ~ sP3(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_11,negated_conjecture,
( sP2(U_1,U_3)
| ~ big_f(U_1,sK2(U_3,U_1))
| ~ sP3(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_12,negated_conjecture,
( ~ big_f(sK2(U_3,U_1),sK1(U_3))
| ~ sP3(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_13,negated_conjecture,
( big_f(U_3,sK2(U_3,U_1))
| ~ sP0(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_14,negated_conjecture,
( ~ big_f(sK2(U_3,U_1),U_1)
| ~ sP0(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_15,negated_conjecture,
( big_f(sK2(U_3,U_1),U_1)
| ~ sP1(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_16,negated_conjecture,
( ~ big_f(U_3,sK2(U_3,U_1))
| ~ sP1(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_17,negated_conjecture,
( big_f(sK2(U_3,U_1),U_1)
| ~ big_f(U_3,sK2(U_3,U_1))
| ~ sP2(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_18,negated_conjecture,
( big_f(U_3,sK2(U_3,U_1))
| ~ big_f(sK2(U_3,U_1),U_1)
| ~ sP2(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_19,negated_conjecture,
( big_f(sK2(U_3,U_1),sK1(U_3))
| ~ sP8(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_20,negated_conjecture,
( sP7(U_1,U_3)
| sP4(U_1,U_3)
| ~ sP8(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_21,negated_conjecture,
( big_f(sK2(U_3,U_1),U_1)
| ~ big_f(U_3,sK2(U_3,U_1))
| ~ sP4(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_22,negated_conjecture,
( big_f(U_3,sK2(U_3,U_1))
| ~ big_f(sK2(U_3,U_1),U_1)
| ~ sP4(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_23,negated_conjecture,
( ~ big_f(U_1,sK2(U_3,U_1))
| ~ sP4(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_24,negated_conjecture,
( big_f(U_1,sK2(U_3,U_1))
| ~ sP7(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_25,negated_conjecture,
( sP6(U_1,U_3)
| sP5(U_1,U_3)
| ~ sP7(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_26,negated_conjecture,
( big_f(U_3,sK2(U_3,U_1))
| ~ sP5(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_27,negated_conjecture,
( ~ big_f(sK2(U_3,U_1),U_1)
| ~ sP5(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_28,negated_conjecture,
( big_f(sK2(U_3,U_1),U_1)
| ~ sP6(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_29,negated_conjecture,
( ~ big_f(U_3,sK2(U_3,U_1))
| ~ sP6(U_1,U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN349+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 06:31:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.45 % SZS status Theorem for theBenchmark
% 0.14/0.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------