%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN321+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 09:10:01 AM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_3_2,conjecture,
? [X,Y] :
( ( ? [Z] : big_f(X,Z)
=> ! [Z] : big_g(X,Z) )
=> ( ! [Z] :
( big_g(Z,Z)
=> big_f(Z,Y) )
=> ( big_f(X,Y)
<=> ! [Z] : big_g(X,Z) ) ) ),
file('theBenchmark.p',church_46_3_2) ).
fof(f_1_1,negated_conjecture,
~ ? [X,Y] :
( ( ? [Z] : big_f(X,Z)
=> ! [Z] : big_g(X,Z) )
=> ( ! [Z] :
( big_g(Z,Z)
=> big_f(Z,Y) )
=> ( big_f(X,Y)
<=> ! [Z] : big_g(X,Z) ) ) ),
inference(negate,[status(cth)],[church_46_3_2]) ).
fof(f_1_2,negated_conjecture,
! [X,Y] :
( ( ( ~ big_f(X,Y)
& ! [Z] : big_g(X,Z) )
| ( ? [Z] : ~ big_g(X,Z)
& big_f(X,Y) ) )
& ! [Z] :
( big_f(Z,Y)
| ~ big_g(Z,Z) )
& ( ! [Z] : big_g(X,Z)
| ! [Z] : ~ big_f(X,Z) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
! [U_6,U_5] :
( ( ( ~ big_f(U_6,U_5)
& ! [U_4] : big_g(U_6,U_4) )
| ( ? [U_3] : ~ big_g(U_6,U_3)
& big_f(U_6,U_5) ) )
& ! [U_2] :
( big_f(U_2,U_5)
| ~ big_g(U_2,U_2) )
& ( ! [U_1] : big_g(U_6,U_1)
| ! [U_0] : ~ big_f(U_6,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ! [U_10,U_8] :
( ( ~ big_f(U_10,U_8)
& ! [U_4] : big_g(U_10,U_4) )
| ( ? [U_3] : ~ big_g(U_10,U_3)
& big_f(U_10,U_8) ) )
& ! [U_7,U_2] :
( big_f(U_2,U_7)
| ~ big_g(U_2,U_2) )
& ! [U_9] :
( ! [U_1] : big_g(U_9,U_1)
| ! [U_0] : ~ big_f(U_9,U_0) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_10,U_8] :
( ( ~ big_f(U_10,U_8)
& ! [U_4] : big_g(U_10,U_4) )
| ( ~ big_g(U_10,sK1(U_10,U_8))
& big_f(U_10,U_8) ) )
& ! [U_7,U_2] :
( big_f(U_2,U_7)
| ~ big_g(U_2,U_2) )
& ! [U_9] :
( ! [U_1] : big_g(U_9,U_1)
| ! [U_0] : ~ big_f(U_9,U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1(U_10,U_8))],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_4,U_8,U_10] :
( ~ big_f(U_10,U_8)
| ~ sP1(U_4,U_8,U_10) )
& ! [U_4,U_8,U_10] :
( big_g(U_10,U_4)
| ~ sP1(U_4,U_8,U_10) )
& ! [U_8,U_10] :
( ~ big_g(U_10,sK1(U_10,U_8))
| ~ sP0(U_8,U_10) )
& ! [U_8,U_10] :
( big_f(U_10,U_8)
| ~ sP0(U_8,U_10) )
& ! [U_4,U_8,U_10] :
( sP1(U_4,U_8,U_10)
| sP0(U_8,U_10) )
& ! [U_2,U_7] :
( big_f(U_2,U_7)
| ~ big_g(U_2,U_2) )
& ! [U_0,U_1,U_9] :
( big_g(U_9,U_1)
| ~ big_f(U_9,U_0) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
( big_g(U_9,U_1)
| ~ big_f(U_9,U_0) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
( big_f(U_2,U_7)
| ~ big_g(U_2,U_2) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_9,negated_conjecture,
( sP1(U_4,U_8,U_10)
| sP0(U_8,U_10) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_10,negated_conjecture,
( big_f(U_10,U_8)
| ~ sP0(U_8,U_10) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_11,negated_conjecture,
( ~ big_g(U_10,sK1(U_10,U_8))
| ~ sP0(U_8,U_10) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_12,negated_conjecture,
( big_g(U_10,U_4)
| ~ sP1(U_4,U_8,U_10) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_13,negated_conjecture,
( ~ big_f(U_10,U_8)
| ~ sP1(U_4,U_8,U_10) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN321+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
% 0.09/0.35 % Computer : n002.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 06:31:16 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------