%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN045+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 : n011.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 09:09:17 AM UTC 2026
% Result : Theorem 0.08s 20.46s
% Output : Proof 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(pel13,conjecture,
( ( ( r
& q )
| p )
<=> ( ( r
| p )
& ( q
| p ) ) ),
file('theBenchmark.p',pel13) ).
fof(f_1_1,negated_conjecture,
~ ( ( ( r
& q )
| p )
<=> ( ( r
| p )
& ( q
| p ) ) ),
inference(negate,[status(cth)],[pel13]) ).
fof(f_1_2,negated_conjecture,
( ( ( ~ r
| ~ q )
& ~ p
& ( r
| p )
& ( q
| p ) )
| ( ( ( ~ r
& ~ p )
| ( ~ q
& ~ p ) )
& ( ( r
& q )
| p ) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ( ~ r
| ~ q
| ~ sP4 )
& ( ~ p
| ~ sP4 )
& ( r
| p
| ~ sP4 )
& ( q
| p
| ~ sP4 )
& ( ~ r
| ~ sP2 )
& ( ~ p
| ~ sP2 )
& ( ~ q
| ~ sP1 )
& ( ~ p
| ~ sP1 )
& ( r
| ~ sP0 )
& ( q
| ~ sP0 )
& ( sP2
| sP1
| ~ sP3 )
& ( sP0
| p
| ~ sP3 )
& ( sP4
| sP3 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4])],[f_1_2]) ).
cnf(f_1_4,negated_conjecture,
( sP4
| sP3 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,negated_conjecture,
( sP0
| p
| ~ sP3 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_6,negated_conjecture,
( sP2
| sP1
| ~ sP3 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_7,negated_conjecture,
( q
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_8,negated_conjecture,
( r
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_9,negated_conjecture,
( ~ p
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_10,negated_conjecture,
( ~ q
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_11,negated_conjecture,
( ~ p
| ~ sP2 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_12,negated_conjecture,
( ~ r
| ~ sP2 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_13,negated_conjecture,
( q
| p
| ~ sP4 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_14,negated_conjecture,
( r
| p
| ~ sP4 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_15,negated_conjecture,
( ~ p
| ~ sP4 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_16,negated_conjecture,
( ~ r
| ~ q
| ~ sP4 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN045+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/20.43 % CPULimit : 300
% 0.08/20.43 % WCLimit : 300
% 0.08/20.43 % DateTime : Sun Sep 20 06:25:37 UTC 2026
% 0.08/20.43 % CPUTime :
% 0.08/20.46 % SZS status Theorem for theBenchmark
% 0.08/20.46 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------