%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN409+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 : n019.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 09:10:17 AM UTC 2026
% Result : Theorem 0.10s 5.39s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(kalish246,conjecture,
( ! [X] : f(X)
<=> ! [Y,Z] :
( f(Z)
& f(Y) ) ),
file('theBenchmark.p',kalish246) ).
fof(f_1_1,negated_conjecture,
~ ( ! [X] : f(X)
<=> ! [Y,Z] :
( f(Z)
& f(Y) ) ),
inference(negate,[status(cth)],[kalish246]) ).
fof(f_1_2,negated_conjecture,
( ( ? [X] : ~ f(X)
& ! [Y,Z] :
( f(Z)
& f(Y) ) )
| ( ? [Y,Z] :
( ~ f(Z)
| ~ f(Y) )
& ! [X] : f(X) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ( ? [U_5] : ~ f(U_5)
& ! [U_4,U_3] :
( f(U_3)
& f(U_4) ) )
| ( ? [U_2,U_1] :
( ~ f(U_1)
| ~ f(U_2) )
& ! [U_0] : f(U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ( ? [U_5] : ~ f(U_5)
& ! [U_4] : f(U_4)
& ! [U_3] : f(U_3) )
| ( ( ? [U_2] : ~ f(U_2)
| ? [U_1] : ~ f(U_1) )
& ! [U_0] : f(U_0) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ( ? [U_5] : ~ f(U_5)
& ! [U_4] : f(U_4)
& ! [U_3] : f(U_3) )
| ( ( ? [U_2] : ~ f(U_2)
| ~ f(sK1) )
& ! [U_0] : f(U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_1,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ( ? [U_5] : ~ f(U_5)
& ! [U_4] : f(U_4)
& ! [U_3] : f(U_3) )
| ( ( ~ f(sK2)
| ~ f(sK1) )
& ! [U_0] : f(U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ( ~ f(sK3)
& ! [U_4] : f(U_4)
& ! [U_3] : f(U_3) )
| ( ( ~ f(sK2)
| ~ f(sK1) )
& ! [U_0] : f(U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_5,sK3)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ! [U_3,U_4] :
( ~ f(sK3)
| ~ sP1(U_3,U_4) )
& ! [U_3,U_4] :
( f(U_4)
| ~ sP1(U_3,U_4) )
& ! [U_3,U_4] :
( f(U_3)
| ~ sP1(U_3,U_4) )
& ! [U_0] :
( ~ f(sK2)
| ~ f(sK1)
| ~ sP0(U_0) )
& ! [U_0] :
( f(U_0)
| ~ sP0(U_0) )
& ! [U_0,U_3,U_4] :
( sP1(U_3,U_4)
| sP0(U_0) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
( sP1(U_3,U_4)
| sP0(U_0) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_10,negated_conjecture,
( f(U_0)
| ~ sP0(U_0) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_11,negated_conjecture,
( ~ f(sK2)
| ~ f(sK1)
| ~ sP0(U_0) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_12,negated_conjecture,
( f(U_3)
| ~ sP1(U_3,U_4) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_13,negated_conjecture,
( f(U_4)
| ~ sP1(U_3,U_4) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_14,negated_conjecture,
( ~ f(sK3)
| ~ sP1(U_3,U_4) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN409+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
% 0.10/5.37 % Computer : n019.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 06:30:55 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.39 % SZS status Theorem for theBenchmark
% 0.10/5.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------