%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN951+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 : n017.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 09:11:16 AM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ? [X] : p(X)
=> ( ( a
=> ( ( q
=> q )
& ( ~ b
| b ) ) )
& ? [X] : p(X) ) ),
file('theBenchmark.p',prove_this) ).
fof(f_1_1,negated_conjecture,
( ~ ( ( a
=> ( ( q
=> q )
& ( ~ b
| b ) ) )
& ? [X] : p(X) )
& ? [X] : p(X) ),
inference(negate,[status(cth)],[prove_this]) ).
fof(f_1_2,negated_conjecture,
( ( ( ( ( ~ q
& q )
| ( b
& ~ b ) )
& a )
| ! [X] : ~ p(X) )
& ? [X] : p(X) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ( ( ( ( ~ q
& q )
| ( b
& ~ b ) )
& a )
| ! [U_1] : ~ p(U_1) )
& ? [U_0] : p(U_0) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ( ( ( ( ~ q
& q )
| ( b
& ~ b ) )
& a )
| ! [U_1] : ~ p(U_1) )
& p(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ( ~ q
| ~ sP1 )
& ( q
| ~ sP1 )
& ( b
| ~ sP0 )
& ( ~ b
| ~ sP0 )
& ( sP1
| sP0
| ~ sP2 )
& ( a
| ~ sP2 )
& ! [U_1] :
( sP2
| ~ p(U_1) )
& p(sK1) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2])],[f_1_4]) ).
cnf(f_1_6,negated_conjecture,
p(sK1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
( sP2
| ~ p(U_1) ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_8,negated_conjecture,
( a
| ~ sP2 ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_9,negated_conjecture,
( sP1
| sP0
| ~ sP2 ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_10,negated_conjecture,
( ~ b
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_11,negated_conjecture,
( b
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_12,negated_conjecture,
( q
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_13,negated_conjecture,
( ~ q
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN951+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.09/0.36 % Computer : n017.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 07:24:25 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------