%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN051+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 09:09:18 AM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : Proof 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(pel21_1,axiom,
? [X] :
( p
=> big_f(X) ),
file('theBenchmark.p',pel21_1) ).
fof(pel21_2,axiom,
? [X] :
( big_f(X)
=> p ),
file('theBenchmark.p',pel21_2) ).
fof(pel21,conjecture,
? [X] :
( p
<=> big_f(X) ),
file('theBenchmark.p',pel21) ).
fof(f_1_1,plain,
? [X] :
( big_f(X)
| ~ p ),
inference(fof_nnf,[status(thm)],[pel21_1]) ).
fof(f_1_2,plain,
? [U_0] :
( big_f(U_0)
| ~ p ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ? [U_0] : big_f(U_0)
| ~ p ),
inference(miniscope,[status(thm)],[f_1_2]) ).
fof(f_1_4,plain,
( big_f(sK1)
| ~ p ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_3]) ).
cnf(f_1_5,plain,
( big_f(sK1)
| ~ p ),
inference(clausify,[status(thm)],[f_1_4]) ).
fof(f_2_1,plain,
? [X] :
( p
| ~ big_f(X) ),
inference(fof_nnf,[status(thm)],[pel21_2]) ).
fof(f_2_2,plain,
? [U_1] :
( p
| ~ big_f(U_1) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ? [U_1] : ~ big_f(U_1)
| p ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ~ big_f(sK2)
| p ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2)],[f_2_3]) ).
cnf(f_2_5,plain,
( ~ big_f(sK2)
| p ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,negated_conjecture,
~ ? [X] :
( p
<=> big_f(X) ),
inference(negate,[status(cth)],[pel21]) ).
fof(f_3_2,negated_conjecture,
! [X] :
( ( ~ p
& big_f(X) )
| ( ~ big_f(X)
& p ) ),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
! [U_2] :
( ( ~ p
& big_f(U_2) )
| ( ~ big_f(U_2)
& p ) ),
inference(variable_rename,[status(thm)],[f_3_2]) ).
fof(f_3_4,negated_conjecture,
( ! [U_2] :
( ~ p
| ~ sP1(U_2) )
& ! [U_2] :
( big_f(U_2)
| ~ sP1(U_2) )
& ! [U_2] :
( ~ big_f(U_2)
| ~ sP0(U_2) )
& ! [U_2] :
( p
| ~ sP0(U_2) )
& ! [U_2] :
( sP1(U_2)
| sP0(U_2) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_3_3]) ).
cnf(f_3_5,negated_conjecture,
( sP1(U_2)
| sP0(U_2) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_6,negated_conjecture,
( p
| ~ sP0(U_2) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_7,negated_conjecture,
( ~ big_f(U_2)
| ~ sP0(U_2) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_8,negated_conjecture,
( big_f(U_2)
| ~ sP1(U_2) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_9,negated_conjecture,
( ~ p
| ~ sP1(U_2) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN051+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
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 06:23:03 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.39 % SZS status Theorem for theBenchmark
% 0.11/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------