%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO054-3 : 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 : n026.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 0.16s 5.50s
% Output : Proof 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 4 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflection,axiom,
reflection(U,V) = extension(U,V,U,V),
file('GEO002-2.ax',reflection) ).
cnf(b0,axiom,
( between(U,V,Y)
| Y != extension(U,V,W,X) ),
file('theBenchmark.p',b0) ).
cnf(prove_v_between_u_and_reflection,negated_conjecture,
~ between(u,v,reflection(u,v)),
file('theBenchmark.p',prove_v_between_u_and_reflection) ).
cnf(t1,plain,
~ between(u,v,reflection(u,v)),
inference(start,[status(thm),parent(0:0)],[prove_v_between_u_and_reflection]) ).
cnf(t2,plain,
( reflection(u,v) != extension(u,v,u,v)
| between(u,v,reflection(u,v)) ),
inference(extension,[status(thm),parent(t1:1)],[b0]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
reflection(u,v) = extension(u,v,u,v),
inference(extension,[status(thm),parent(t2:2)],[reflection]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO054-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n026.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sat Sep 19 07:16:41 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.16/5.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/5.50 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------