%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN068+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 : n004.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 09:09:23 AM UTC 2026
% Result : Theorem 0.15s 5.40s
% Output : Proof 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(pel44_1,axiom,
! [X] :
( big_f(X)
=> ( ? [Y1] :
( ~ big_h(X,Y1)
& big_g(Y1) )
& ? [Y] :
( big_h(X,Y)
& big_g(Y) ) ) ),
file('theBenchmark.p',pel44_1) ).
fof(pel44_2,axiom,
? [X] :
( ! [Y] :
( big_g(Y)
=> big_h(X,Y) )
& big_j(X) ),
file('theBenchmark.p',pel44_2) ).
fof(pel44,conjecture,
? [X] :
( ~ big_f(X)
& big_j(X) ),
file('theBenchmark.p',pel44) ).
fof(f_1_1,plain,
! [X] :
( ( ? [Y1] :
( ~ big_h(X,Y1)
& big_g(Y1) )
& ? [Y] :
( big_h(X,Y)
& big_g(Y) ) )
| ~ big_f(X) ),
inference(fof_nnf,[status(thm)],[pel44_1]) ).
fof(f_1_2,plain,
! [U_2] :
( ( ? [U_1] :
( ~ big_h(U_2,U_1)
& big_g(U_1) )
& ? [U_0] :
( big_h(U_2,U_0)
& big_g(U_0) ) )
| ~ big_f(U_2) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_2] :
( ( ? [U_1] :
( ~ big_h(U_2,U_1)
& big_g(U_1) )
& big_h(U_2,sK1(U_2))
& big_g(sK1(U_2)) )
| ~ big_f(U_2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1(U_2))],[f_1_2]) ).
fof(f_1_4,plain,
! [U_2] :
( ( ~ big_h(U_2,sK2(U_2))
& big_g(sK2(U_2))
& big_h(U_2,sK1(U_2))
& big_g(sK1(U_2)) )
| ~ big_f(U_2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2(U_2))],[f_1_3]) ).
cnf(f_1_5,plain,
( big_g(sK1(U_2))
| ~ big_f(U_2) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_6,plain,
( big_h(U_2,sK1(U_2))
| ~ big_f(U_2) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_7,plain,
( big_g(sK2(U_2))
| ~ big_f(U_2) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_8,plain,
( ~ big_h(U_2,sK2(U_2))
| ~ big_f(U_2) ),
inference(clausify,[status(thm)],[f_1_4]) ).
fof(f_2_1,plain,
? [X] :
( ! [Y] :
( big_h(X,Y)
| ~ big_g(Y) )
& big_j(X) ),
inference(fof_nnf,[status(thm)],[pel44_2]) ).
fof(f_2_2,plain,
? [U_4] :
( ! [U_3] :
( big_h(U_4,U_3)
| ~ big_g(U_3) )
& big_j(U_4) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_3] :
( big_h(sK3,U_3)
| ~ big_g(U_3) )
& big_j(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_4,sK3)],[f_2_2]) ).
cnf(f_2_4,plain,
big_j(sK3),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( big_h(sK3,U_3)
| ~ big_g(U_3) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,negated_conjecture,
~ ? [X] :
( ~ big_f(X)
& big_j(X) ),
inference(negate,[status(cth)],[pel44]) ).
fof(f_3_2,negated_conjecture,
! [X] :
( big_f(X)
| ~ big_j(X) ),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
! [U_5] :
( big_f(U_5)
| ~ big_j(U_5) ),
inference(variable_rename,[status(thm)],[f_3_2]) ).
fof(f_3_4,negated_conjecture,
! [U_5] :
( big_f(U_5)
| ~ big_j(U_5) ),
inference(definitional_conversion,[status(esa)],[f_3_3]) ).
cnf(f_3_5,negated_conjecture,
( big_f(U_5)
| ~ big_j(U_5) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN068+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
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 06:23:55 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.15/5.40 % SZS status Theorem for theBenchmark
% 0.15/5.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------