%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN381+1 : 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 09:10:13 AM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : Proof 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(x2133,conjecture,
( ( ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,Z)
| big_q(Z,W) ) )
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) ) )
=> ! [Z] : big_p(Z) ),
file('theBenchmark.p',x2133) ).
fof(f_1_1,negated_conjecture,
( ~ ! [Z] : big_p(Z)
& ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,Z)
| big_q(Z,W) ) )
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) ) ),
inference(negate,[status(cth)],[x2133]) ).
fof(f_1_2,negated_conjecture,
( ? [Z] : ~ big_p(Z)
& ! [W,Z] :
( big_q(Z,Z)
| big_q(Z,W)
| ~ big_q(W,Z) )
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( big_p(X)
| ! [Y] : ~ big_q(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ? [U_6] : ~ big_p(U_6)
& ! [U_5,U_4] :
( big_q(U_4,U_4)
| big_q(U_4,U_5)
| ~ big_q(U_5,U_4) )
& ! [U_3] :
? [U_2] : big_q(U_2,U_3)
& ! [U_1] :
( big_p(U_1)
| ! [U_0] : ~ big_q(U_1,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_6] : ~ big_p(U_6)
& ! [U_5,U_4] :
( big_q(U_4,U_4)
| big_q(U_4,U_5)
| ~ big_q(U_5,U_4) )
& ! [U_3] : big_q(sK1(U_3),U_3)
& ! [U_1] :
( big_p(U_1)
| ! [U_0] : ~ big_q(U_1,U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1(U_3))],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ~ big_p(sK2)
& ! [U_5,U_4] :
( big_q(U_4,U_4)
| big_q(U_4,U_5)
| ~ big_q(U_5,U_4) )
& ! [U_3] : big_q(sK1(U_3),U_3)
& ! [U_1] :
( big_p(U_1)
| ! [U_0] : ~ big_q(U_1,U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_6,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ~ big_p(sK2)
& ! [U_5,U_4] :
( big_q(U_4,U_4)
| big_q(U_4,U_5)
| ~ big_q(U_5,U_4) )
& ! [U_3] : big_q(sK1(U_3),U_3)
& ! [U_1,U_0] :
( big_p(U_1)
| ~ big_q(U_1,U_0) ) ),
inference(definitional_conversion,[status(esa)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
( big_p(U_1)
| ~ big_q(U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
big_q(sK1(U_3),U_3),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_9,negated_conjecture,
( big_q(U_4,U_4)
| big_q(U_4,U_5)
| ~ big_q(U_5,U_4) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_10,negated_conjecture,
~ big_p(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN381+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 06:33:05 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.39 % SZS status Theorem for theBenchmark
% 0.11/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------