%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN978+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n018.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 09:11:19 AM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ( b
& a )
=> ( a
<=> b ) ),
file('theBenchmark.p',prove_this) ).
fof(f_1_1,negated_conjecture,
( ~ ( a
<=> b )
& b
& a ),
inference(negate,[status(cth)],[prove_this]) ).
fof(f_1_2,negated_conjecture,
( ( ( ~ a
& b )
| ( ~ b
& a ) )
& b
& a ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ( ~ a
| ~ sP1 )
& ( b
| ~ sP1 )
& ( ~ b
| ~ sP0 )
& ( a
| ~ sP0 )
& ( sP1
| sP0 )
& b
& a ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_1_2]) ).
cnf(f_1_4,negated_conjecture,
a,
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,negated_conjecture,
b,
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_6,negated_conjecture,
( sP1
| sP0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_7,negated_conjecture,
( a
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_8,negated_conjecture,
( ~ b
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_9,negated_conjecture,
( b
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_10,negated_conjecture,
( ~ a
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN978+1 : TPTP v9.3.1. Released v3.1.0.
% 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
% 0.09/0.36 % Computer : n018.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 07:31:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------