%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GRA120-1 : 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 : n003.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 189.88s 190.14s
% Output : Proof 189.93s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(rsym,axiom,
( r(Y,X)
| ~ r(X,Y) ),
file('theBenchmark.p',rsym) ).
cnf(rno3cl,axiom,
( ~ r(Y,Z)
| ~ r(X,Z)
| ~ r(X,Y)
| Y = Z
| X = Z
| X = Y ),
file('theBenchmark.p',rno3cl) ).
cnf(rno4acl,axiom,
( r(Z,W)
| r(Y,W)
| r(X,W)
| r(Y,Z)
| r(X,Z)
| r(X,Y)
| Z = W
| Y = W
| X = W
| Y = Z
| X = Z
| X = Y ),
file('theBenchmark.p',rno4acl) ).
cnf(v0nv1,axiom,
v0 != v1,
file('theBenchmark.p',v0nv1) ).
cnf(v0nv2,axiom,
v0 != v2,
file('theBenchmark.p',v0nv2) ).
cnf(v1nv2,axiom,
v1 != v2,
file('theBenchmark.p',v1nv2) ).
cnf(v0nv3,axiom,
v0 != v3,
file('theBenchmark.p',v0nv3) ).
cnf(v1nv3,axiom,
v1 != v3,
file('theBenchmark.p',v1nv3) ).
cnf(v2nv3,axiom,
v2 != v3,
file('theBenchmark.p',v2nv3) ).
cnf(v0nv4,axiom,
v0 != v4,
file('theBenchmark.p',v0nv4) ).
cnf(v1nv4,axiom,
v1 != v4,
file('theBenchmark.p',v1nv4) ).
cnf(v2nv4,axiom,
v2 != v4,
file('theBenchmark.p',v2nv4) ).
cnf(v3nv4,axiom,
v3 != v4,
file('theBenchmark.p',v3nv4) ).
cnf(v0nv5,axiom,
v0 != v5,
file('theBenchmark.p',v0nv5) ).
cnf(v1nv5,axiom,
v1 != v5,
file('theBenchmark.p',v1nv5) ).
cnf(v2nv5,axiom,
v2 != v5,
file('theBenchmark.p',v2nv5) ).
cnf(v3nv5,axiom,
v3 != v5,
file('theBenchmark.p',v3nv5) ).
cnf(v4nv5,axiom,
v4 != v5,
file('theBenchmark.p',v4nv5) ).
cnf(v0nv6,axiom,
v0 != v6,
file('theBenchmark.p',v0nv6) ).
cnf(v1nv6,axiom,
v1 != v6,
file('theBenchmark.p',v1nv6) ).
cnf(v2nv6,axiom,
v2 != v6,
file('theBenchmark.p',v2nv6) ).
cnf(v3nv6,axiom,
v3 != v6,
file('theBenchmark.p',v3nv6) ).
cnf(v4nv6,axiom,
v4 != v6,
file('theBenchmark.p',v4nv6) ).
cnf(v5nv6,axiom,
v5 != v6,
file('theBenchmark.p',v5nv6) ).
cnf(v0nv7,axiom,
v0 != v7,
file('theBenchmark.p',v0nv7) ).
cnf(v1nv7,axiom,
v1 != v7,
file('theBenchmark.p',v1nv7) ).
cnf(v2nv7,axiom,
v2 != v7,
file('theBenchmark.p',v2nv7) ).
cnf(v3nv7,axiom,
v3 != v7,
file('theBenchmark.p',v3nv7) ).
cnf(v4nv7,axiom,
v4 != v7,
file('theBenchmark.p',v4nv7) ).
cnf(v5nv7,axiom,
v5 != v7,
file('theBenchmark.p',v5nv7) ).
cnf(v6nv7,axiom,
v6 != v7,
file('theBenchmark.p',v6nv7) ).
cnf(v0nv8,axiom,
v0 != v8,
file('theBenchmark.p',v0nv8) ).
cnf(v1nv8,axiom,
v1 != v8,
file('theBenchmark.p',v1nv8) ).
cnf(v2nv8,axiom,
v2 != v8,
file('theBenchmark.p',v2nv8) ).
cnf(v3nv8,axiom,
v3 != v8,
file('theBenchmark.p',v3nv8) ).
cnf(v4nv8,axiom,
v4 != v8,
file('theBenchmark.p',v4nv8) ).
cnf(v5nv8,axiom,
v5 != v8,
file('theBenchmark.p',v5nv8) ).
cnf(v6nv8,axiom,
v6 != v8,
file('theBenchmark.p',v6nv8) ).
cnf(v7nv8,axiom,
v7 != v8,
file('theBenchmark.p',v7nv8) ).
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,
( 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
% 0.00/0.02 % Problem : GRA120-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 This is a CNF_UNS_EPR_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 : n003.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 08:25:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 189.88/190.14 % SZS status Unsatisfiable for theBenchmark
% 189.88/190.14 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------