%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN060+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 : n005.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 09:09:21 AM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : Proof 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(pel30_1,axiom,
! [X] :
( ( big_g(X)
| big_f(X) )
=> ~ big_h(X) ),
file('theBenchmark.p',pel30_1) ).
fof(pel30_2,axiom,
! [X] :
( ( big_g(X)
=> ~ big_i(X) )
=> ( big_h(X)
& big_f(X) ) ),
file('theBenchmark.p',pel30_2) ).
fof(pel30,conjecture,
! [X] : big_i(X),
file('theBenchmark.p',pel30) ).
fof(f_1_1,plain,
! [X] :
( ~ big_h(X)
| ( ~ big_g(X)
& ~ big_f(X) ) ),
inference(fof_nnf,[status(thm)],[pel30_1]) ).
fof(f_1_2,plain,
! [U_0] :
( ~ big_h(U_0)
| ( ~ big_g(U_0)
& ~ big_f(U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( ~ big_f(U_0)
| ~ big_h(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( ~ big_g(U_0)
| ~ big_h(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [X] :
( ( big_h(X)
& big_f(X) )
| ( big_i(X)
& big_g(X) ) ),
inference(fof_nnf,[status(thm)],[pel30_2]) ).
fof(f_2_2,plain,
! [U_1] :
( ( big_h(U_1)
& big_f(U_1) )
| ( big_i(U_1)
& big_g(U_1) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( big_f(U_1)
| big_g(U_1) ),
inference(clausify,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( big_h(U_1)
| big_g(U_1) ),
inference(clausify,[status(thm)],[f_2_2]) ).
cnf(f_2_5,plain,
( big_f(U_1)
| big_i(U_1) ),
inference(clausify,[status(thm)],[f_2_2]) ).
cnf(f_2_6,plain,
( big_h(U_1)
| big_i(U_1) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,negated_conjecture,
~ ! [X] : big_i(X),
inference(negate,[status(cth)],[pel30]) ).
fof(f_3_2,negated_conjecture,
? [X] : ~ big_i(X),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
? [U_2] : ~ big_i(U_2),
inference(variable_rename,[status(thm)],[f_3_2]) ).
fof(f_3_4,negated_conjecture,
~ big_i(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_3_3]) ).
fof(f_3_5,negated_conjecture,
~ big_i(sK1),
inference(definitional_conversion,[status(esa)],[f_3_4]) ).
cnf(f_3_6,negated_conjecture,
~ big_i(sK1),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN060+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 : n005.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 06:23:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % SZS status Theorem for theBenchmark
% 0.09/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------