%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO059-3 : 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 : n020.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 08:39:23 AM UTC 2026
% Result : Unsatisfiable 3.67s 3.91s
% Output : Proof 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 15 RR)
% Number of literals : 24 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d2,axiom,
( equidistant(W,X,U,V)
| ~ equidistant(U,V,W,X) ),
file('theBenchmark.p',d2) ).
cnf(d4_5,axiom,
( equidistant(X,W,V,U)
| ~ equidistant(U,V,W,X) ),
file('theBenchmark.p',d4_5) ).
cnf(d5,axiom,
( equidistant(U,V,Y,Z)
| ~ equidistant(W,X,Y,Z)
| ~ equidistant(U,V,W,X) ),
file('theBenchmark.p',d5) ).
cnf(r2_2,axiom,
equidistant(V,reflection(U,V),U,V),
file('theBenchmark.p',r2_2) ).
cnf(prove_congruence,negated_conjecture,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
file('theBenchmark.p',prove_congruence) ).
cnf(t1,plain,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
inference(start,[status(thm),parent(0:0)],[prove_congruence]) ).
cnf(t2,plain,
( ~ equidistant(reflection(u,v),v,v,reflection(reflection(u,v),v))
| ~ equidistant(v,u,reflection(u,v),v)
| equidistant(v,u,v,reflection(reflection(u,v),v)) ),
inference(extension,[status(thm),parent(t1:1)],[d5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ equidistant(v,reflection(u,v),u,v)
| equidistant(v,u,reflection(u,v),v) ),
inference(extension,[status(thm),parent(t2:2)],[d4_5]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
equidistant(v,reflection(u,v),u,v),
inference(extension,[status(thm),parent(t4:2)],[r2_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ equidistant(v,reflection(reflection(u,v),v),reflection(u,v),v)
| equidistant(reflection(u,v),v,v,reflection(reflection(u,v),v)) ),
inference(extension,[status(thm),parent(t2:3)],[d2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
equidistant(v,reflection(reflection(u,v),v),reflection(u,v),v),
inference(extension,[status(thm),parent(t8:2)],[r2_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO059-3 : 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
% 0.08/0.34 % Computer : n020.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 19 07:14:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 3.67/3.91 % SZS status Unsatisfiable for theBenchmark
% 3.67/3.91 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------