%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GRA119-1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n007.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 08:40:57 AM UTC 2026
% Result : Unsatisfiable 175.64s 175.92s
% Output : Proof 175.64s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(rsym,axiom,
( r(Y,X)
| ~ r(X,Y) ),
file('theBenchmark.p',rsym) ).
cnf(rn3cl,axiom,
( ~ r(Y,Z)
| ~ r(X,Z)
| ~ r(X,Y)
| Y = Z
| X = Z
| X = Y ),
file('theBenchmark.p',rn3cl) ).
cnf(rn3acl,axiom,
( r(Y,Z)
| r(X,Z)
| r(X,Y)
| Y = Z
| X = Z
| X = Y ),
file('theBenchmark.p',rn3acl) ).
cnf(f6ck,axiom,
f(f(f(f(f(f(c)))))) != f(c),
file('theBenchmark.p',f6ck) ).
cnf(f62ck,axiom,
f(f(f(f(f(f(c)))))) != f(f(c)),
file('theBenchmark.p',f62ck) ).
cnf(f63ck,axiom,
f(f(f(f(f(f(c)))))) != f(f(f(c))),
file('theBenchmark.p',f63ck) ).
cnf(f64ck,axiom,
f(f(f(f(f(f(c)))))) != f(f(f(f(c)))),
file('theBenchmark.p',f64ck) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( f(Eq_x_0) = f(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( r(Eq_y_0,Eq_y_1)
| ~ r(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA119-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN 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
% 0.07/0.35 % Computer : n007.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 08:21:38 UTC 2026
% 0.08/0.36 % CPUTime :
% 175.64/175.92 % SZS status Unsatisfiable for theBenchmark
% 175.64/175.92 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------