%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN393+1.003 : 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 : n026.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 09:10:15 AM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(pel12,conjecture,
( ( ( p1
<=> p2 )
<=> p3 )
<=> ( p1
<=> ( p2
<=> p3 ) ) ),
file('theBenchmark.p',pel12) ).
fof(f_1_1,negated_conjecture,
~ ( ( ( p1
<=> p2 )
<=> p3 )
<=> ( p1
<=> ( p2
<=> p3 ) ) ),
inference(negate,[status(cth)],[pel12]) ).
fof(f_1_2,negated_conjecture,
( ( ( ( ( ( ~ p1
& p2 )
| ( ~ p2
& p1 ) )
& p3 )
| ( ~ p3
& ( p1
| ~ p2 )
& ( p2
| ~ p1 ) ) )
& ( p1
| ( ~ p2
& p3 )
| ( ~ p3
& p2 ) )
& ( ( ( p2
| ~ p3 )
& ( p3
| ~ p2 ) )
| ~ p1 ) )
| ( ( ( ~ p1
& ( p2
| ~ p3 )
& ( p3
| ~ p2 ) )
| ( ( ( ~ p2
& p3 )
| ( ~ p3
& p2 ) )
& p1 ) )
& ( ( ( p1
| ~ p2 )
& ( p2
| ~ p1 ) )
| ~ p3 )
& ( p3
| ( ~ p1
& p2 )
| ( ~ p2
& p1 ) ) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ( ~ p1
| ~ sP13 )
& ( p2
| ~ sP13 )
& ( ~ p2
| ~ sP12 )
& ( p1
| ~ sP12 )
& ( sP13
| sP12
| ~ sP14 )
& ( p3
| ~ sP14 )
& ( ~ p3
| ~ sP11 )
& ( p1
| ~ p2
| ~ sP11 )
& ( p2
| ~ p1
| ~ sP11 )
& ( ~ p2
| ~ sP10 )
& ( p3
| ~ sP10 )
& ( ~ p3
| ~ sP9 )
& ( p2
| ~ sP9 )
& ( p2
| ~ p3
| ~ sP8 )
& ( p3
| ~ p2
| ~ sP8 )
& ( sP14
| sP11
| ~ sP15 )
& ( p1
| sP10
| sP9
| ~ sP15 )
& ( sP8
| ~ p1
| ~ sP15 )
& ( ~ p1
| ~ sP6 )
& ( p2
| ~ p3
| ~ sP6 )
& ( p3
| ~ p2
| ~ sP6 )
& ( ~ p2
| ~ sP4 )
& ( p3
| ~ sP4 )
& ( ~ p3
| ~ sP3 )
& ( p2
| ~ sP3 )
& ( sP4
| sP3
| ~ sP5 )
& ( p1
| ~ sP5 )
& ( p1
| ~ p2
| ~ sP2 )
& ( p2
| ~ p1
| ~ sP2 )
& ( ~ p1
| ~ sP1 )
& ( p2
| ~ sP1 )
& ( ~ p2
| ~ sP0 )
& ( p1
| ~ sP0 )
& ( sP6
| sP5
| ~ sP7 )
& ( sP2
| ~ p3
| ~ sP7 )
& ( p3
| sP1
| sP0
| ~ sP7 )
& ( sP15
| sP7 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4,sP5,sP6,sP7,sP8,sP9,sP10,sP11,sP12,sP13,sP14,sP15])],[f_1_2]) ).
cnf(f_1_4,negated_conjecture,
( sP15
| sP7 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,negated_conjecture,
( p3
| sP1
| sP0
| ~ sP7 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_6,negated_conjecture,
( sP2
| ~ p3
| ~ sP7 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_7,negated_conjecture,
( sP6
| sP5
| ~ sP7 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_8,negated_conjecture,
( p1
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_9,negated_conjecture,
( ~ p2
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_10,negated_conjecture,
( p2
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_11,negated_conjecture,
( ~ p1
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_12,negated_conjecture,
( p2
| ~ p1
| ~ sP2 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_13,negated_conjecture,
( p1
| ~ p2
| ~ sP2 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_14,negated_conjecture,
( p1
| ~ sP5 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_15,negated_conjecture,
( sP4
| sP3
| ~ sP5 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_16,negated_conjecture,
( p2
| ~ sP3 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_17,negated_conjecture,
( ~ p3
| ~ sP3 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_18,negated_conjecture,
( p3
| ~ sP4 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_19,negated_conjecture,
( ~ p2
| ~ sP4 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_20,negated_conjecture,
( p3
| ~ p2
| ~ sP6 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_21,negated_conjecture,
( p2
| ~ p3
| ~ sP6 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_22,negated_conjecture,
( ~ p1
| ~ sP6 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_23,negated_conjecture,
( sP8
| ~ p1
| ~ sP15 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_24,negated_conjecture,
( p1
| sP10
| sP9
| ~ sP15 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_25,negated_conjecture,
( sP14
| sP11
| ~ sP15 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_26,negated_conjecture,
( p3
| ~ p2
| ~ sP8 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_27,negated_conjecture,
( p2
| ~ p3
| ~ sP8 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_28,negated_conjecture,
( p2
| ~ sP9 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_29,negated_conjecture,
( ~ p3
| ~ sP9 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_30,negated_conjecture,
( p3
| ~ sP10 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_31,negated_conjecture,
( ~ p2
| ~ sP10 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_32,negated_conjecture,
( p2
| ~ p1
| ~ sP11 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_33,negated_conjecture,
( p1
| ~ p2
| ~ sP11 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_34,negated_conjecture,
( ~ p3
| ~ sP11 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_35,negated_conjecture,
( p3
| ~ sP14 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_36,negated_conjecture,
( sP13
| sP12
| ~ sP14 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_37,negated_conjecture,
( p1
| ~ sP12 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_38,negated_conjecture,
( ~ p2
| ~ sP12 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_39,negated_conjecture,
( p2
| ~ sP13 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_40,negated_conjecture,
( ~ p1
| ~ sP13 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN393+1.003 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_PRP problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 06:33:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------