%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO014-2 : 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 : n005.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 08:39:14 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_for_equidistance,axiom,
( equidistant(Z,V,V2,W)
| ~ equidistant(X,Y,V2,W)
| ~ equidistant(X,Y,Z,V) ),
file('GEO002-0.ax',transitivity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(Y,extension(X,Y,W,V),W,V),
file('GEO002-0.ax',segment_construction2) ).
cnf(prove_reflexivity,negated_conjecture,
~ equidistant(u,v,u,v),
file('theBenchmark.p',prove_reflexivity) ).
cnf(t1,plain,
~ equidistant(u,v,u,v),
inference(start,[status(thm),parent(0:0)],[prove_reflexivity]) ).
cnf(t2,plain,
( ~ equidistant(U_711,extension(U_712,U_711,u,v),u,v)
| ~ equidistant(U_711,extension(U_712,U_711,u,v),u,v)
| equidistant(u,v,u,v) ),
inference(extension,[status(thm),parent(t1:1)],[transitivity_for_equidistance]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
equidistant(U_711,extension(U_712,U_711,u,v),u,v),
inference(extension,[status(thm),parent(t2:2)],[segment_construction2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l2,lemma,
equidistant(U_711,extension(U_712,U_711,u,v),u,v),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t6,plain,
equidistant(U_711,extension(U_712,U_711,u,v),u,v),
inference(lemma_extension,[status(thm),parent(t2:3)],[l2:1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n005.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % 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 07:08:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------