%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GRA172-1 : 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 : n019.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 08:41:03 AM UTC 2026
% Result : Unsatisfiable 176.14s 176.47s
% Output : Proof 176.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(snz,axiom,
s(X) != z,
file('theBenchmark.p',snz) ).
cnf(sinj,axiom,
( X = Y
| s(X) != s(Y) ),
file('theBenchmark.p',sinj) ).
cnf(ri,axiom,
~ r(X,X),
file('theBenchmark.p',ri) ).
cnf(bi,axiom,
~ b(X,X),
file('theBenchmark.p',bi) ).
cnf(rb,axiom,
( b(X,Y)
| r(X,Y)
| X = Y ),
file('theBenchmark.p',rb) ).
cnf(axr,axiom,
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
file('theBenchmark.p',axr) ).
cnf(axb,axiom,
( ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
file('theBenchmark.p',axb) ).
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,
( s(Eq_x_0) = s(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(equality_6,axiom,
( b(Eq_y_0,Eq_y_1)
| ~ b(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 : GRA172-1 : 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
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 08:29:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 176.14/176.47 % SZS status Unsatisfiable for theBenchmark
% 176.14/176.47 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------