%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN044+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 : n013.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 09:09:16 AM UTC 2026
% Result : Theorem 0.09s 5.39s
% Output : Proof 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(pel10_1,axiom,
( q
=> r ),
file('theBenchmark.p',pel10_1) ).
fof(pel10_2,axiom,
( r
=> ( q
& p ) ),
file('theBenchmark.p',pel10_2) ).
fof(pel10_3,axiom,
( p
=> ( r
| q ) ),
file('theBenchmark.p',pel10_3) ).
fof(pel10,conjecture,
( p
<=> q ),
file('theBenchmark.p',pel10) ).
fof(f_1_1,plain,
( r
| ~ q ),
inference(fof_nnf,[status(thm)],[pel10_1]) ).
cnf(f_1_2,plain,
( r
| ~ q ),
inference(clausify,[status(thm)],[f_1_1]) ).
fof(f_2_1,plain,
( ( q
& p )
| ~ r ),
inference(fof_nnf,[status(thm)],[pel10_2]) ).
cnf(f_2_2,plain,
( p
| ~ r ),
inference(clausify,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( q
| ~ r ),
inference(clausify,[status(thm)],[f_2_1]) ).
fof(f_3_1,plain,
( r
| q
| ~ p ),
inference(fof_nnf,[status(thm)],[pel10_3]) ).
cnf(f_3_2,plain,
( r
| q
| ~ p ),
inference(clausify,[status(thm)],[f_3_1]) ).
fof(f_4_1,negated_conjecture,
~ ( p
<=> q ),
inference(negate,[status(cth)],[pel10]) ).
fof(f_4_2,negated_conjecture,
( ( ~ p
& q )
| ( ~ q
& p ) ),
inference(fof_nnf,[status(thm)],[f_4_1]) ).
fof(f_4_3,negated_conjecture,
( ( ~ p
| ~ sP1 )
& ( q
| ~ sP1 )
& ( ~ q
| ~ sP0 )
& ( p
| ~ sP0 )
& ( sP1
| sP0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_4_2]) ).
cnf(f_4_4,negated_conjecture,
( sP1
| sP0 ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_5,negated_conjecture,
( p
| ~ sP0 ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_6,negated_conjecture,
( ~ q
| ~ sP0 ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_7,negated_conjecture,
( q
| ~ sP1 ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_8,negated_conjecture,
( ~ p
| ~ sP1 ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_PRP 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
% 0.09/5.37 % Computer : n013.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 06:22:26 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.39 % SZS status Theorem for theBenchmark
% 0.09/5.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------