%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN379+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 : n014.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 09:10:13 AM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Proof 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(x2131,conjecture,
( ! [X] : big_p(X)
=> ? [Y] :
( ! [X,Z] : big_q(X,Y,Z)
=> ~ ! [Z] :
( ~ big_q(Y,Y,Z)
& big_p(Z) ) ) ),
file('theBenchmark.p',x2131) ).
fof(f_1_1,negated_conjecture,
( ~ ? [Y] :
( ! [X,Z] : big_q(X,Y,Z)
=> ~ ! [Z] :
( ~ big_q(Y,Y,Z)
& big_p(Z) ) )
& ! [X] : big_p(X) ),
inference(negate,[status(cth)],[x2131]) ).
fof(f_1_2,negated_conjecture,
( ! [Y] :
( ! [Z] :
( ~ big_q(Y,Y,Z)
& big_p(Z) )
& ! [X,Z] : big_q(X,Y,Z) )
& ! [X] : big_p(X) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ! [U_4] :
( ! [U_3] :
( ~ big_q(U_4,U_4,U_3)
& big_p(U_3) )
& ! [U_2,U_1] : big_q(U_2,U_4,U_1) )
& ! [U_0] : big_p(U_0) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ! [U_8,U_6] : ~ big_q(U_8,U_8,U_6)
& ! [U_5] : big_p(U_5)
& ! [U_7,U_2,U_1] : big_q(U_2,U_7,U_1)
& ! [U_0] : big_p(U_0) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_6,U_8] : ~ big_q(U_8,U_8,U_6)
& ! [U_5] : big_p(U_5)
& ! [U_1,U_7,U_2] : big_q(U_2,U_7,U_1)
& ! [U_0] : big_p(U_0) ),
inference(definitional_conversion,[status(esa)],[f_1_4]) ).
cnf(f_1_6,negated_conjecture,
big_p(U_0),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
big_q(U_2,U_7,U_1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_8,negated_conjecture,
big_p(U_5),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_9,negated_conjecture,
~ big_q(U_8,U_8,U_6),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN379+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 06:30:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.40 % SZS status Theorem for theBenchmark
% 0.11/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------