%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO057-2 : TPTP v9.3.1. Released v1.0.0.
% 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 : n015.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 08:39:22 AM UTC 2026
% Result : Unsatisfiable 2.78s 3.04s
% Output : Proof 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 25 ( 16 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-4 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( X = Y
| ~ equidistant(X,Y,Z,Z) ),
file('GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(Y,extension(X,Y,W,V),W,V),
file('GEO002-0.ax',segment_construction2) ).
cnf(reflection,axiom,
reflection(U,V) = extension(U,V,U,V),
file('GEO002-2.ax',reflection) ).
cnf(prove_null_extension_by_reflection,negated_conjecture,
u != reflection(u,u),
file('theBenchmark.p',prove_null_extension_by_reflection) ).
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(t1,plain,
u != reflection(u,u),
inference(start,[status(thm),parent(0:0)],[prove_null_extension_by_reflection]) ).
cnf(t2,plain,
( extension(u,u,u,u) != reflection(u,u)
| u != extension(u,u,u,u)
| u = reflection(u,u) ),
inference(extension,[status(thm),parent(t1:1)],[equality_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ equidistant(u,extension(u,u,u,u),u,u)
| u = extension(u,u,u,u) ),
inference(extension,[status(thm),parent(t2:2)],[identity_for_equidistance]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
equidistant(u,extension(u,u,u,u),u,u),
inference(extension,[status(thm),parent(t4:2)],[segment_construction2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( reflection(u,u) != extension(u,u,u,u)
| extension(u,u,u,u) = reflection(u,u) ),
inference(extension,[status(thm),parent(t2:3)],[equality_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
reflection(u,u) = extension(u,u,u,u),
inference(extension,[status(thm),parent(t8:2)],[reflection]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO057-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 19 07:16:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 2.78/3.04 % SZS status Unsatisfiable for theBenchmark
% 2.78/3.04 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------