%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO003-3 : TPTP v9.3.1. Released v1.0.0.
% 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 08:39:12 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 6 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 : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 10 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e1,axiom,
V = extension(U,V,W,W),
file('theBenchmark.p',e1) ).
cnf(b0,axiom,
( between(U,V,Y)
| Y != extension(U,V,W,X) ),
file('theBenchmark.p',b0) ).
cnf(prove_b_between_a_and_b,negated_conjecture,
~ between(a,b,b),
file('theBenchmark.p',prove_b_between_a_and_b) ).
cnf(t1,plain,
~ between(a,b,b),
inference(start,[status(thm),parent(0:0)],[prove_b_between_a_and_b]) ).
cnf(t2,plain,
( b != extension(a,b,U_1142,U_1142)
| between(a,b,b) ),
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,
b = extension(a,b,U_1142,U_1142),
inference(extension,[status(thm),parent(t2:2)],[e1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO003-3 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 07:10:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------