%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO003-1 : TPTP v9.0.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 01:37:50 PM UTC 2025
% Result : Unsatisfiable 157.07s 20.01s
% Output : CNFRefutation 157.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_b_between_a_and_b)
% Comments :
%------------------------------------------------------------------------------
cnf(20,plain,
~ between(a,b,b),
inference(cnf,[status(esa)],[prove_b_between_a_and_b]) ).
cnf(l0,plain,
~ between(a,b,b),
inference(instantiation,[status(thm)],[20]) ).
cnf(1,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X0,X1,X3) ),
inference(cnf,[status(esa)],[transitivity_for_betweeness]) ).
cnf(l1,plain,
( ~ between(a,b,extension(a,b,X2_41,X2_41))
| ~ between(b,b,extension(a,b,X2_41,X2_41))
| between(a,b,b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(12,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf,[status(esa)],[segment_construction1]) ).
cnf(l3,plain,
between(a,b,extension(a,b,X2_41,X2_41)),
inference(instantiation,[status(thm)],[12]) ).
cnf(4,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_equidistance]) ).
cnf(l34,plain,
( ~ equidistant(b,extension(a,b,X2_41,X2_41),X2_41,X2_41)
| b = extension(a,b,X2_41,X2_41) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(13,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf,[status(esa)],[segment_construction2]) ).
cnf(l41,plain,
equidistant(b,extension(a,b,X2_41,X2_41),X2_41,X2_41),
inference(instantiation,[status(thm)],[13]) ).
cnf(l27,plain,
( ~ between(b,b,extension(b,b,X2_71,X3_71))
| ~ between(b,b,extension(b,b,X2_71,X3_71))
| between(b,b,b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l73,plain,
between(b,b,extension(b,b,X2_71,X3_71)),
inference(instantiation,[status(thm)],[12]) ).
cnf(l71,plain,
between(b,b,extension(b,b,X2_71,X3_71)),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l34,l41,l27,l73,l71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07 % Problem : GEO003-1 : TPTP v9.0.0. Bugfixed v2.5.0.
% 0.03/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n022.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Sun Jul 20 10:31:04 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % launching worker at depth: 1
% 0.07/0.26 % launching worker at depth: 3
% 0.07/0.26 % launching worker at depth: 2
% 0.07/0.26 % launching worker at depth: 4
% 0.07/0.26 % launching worker at depth: 5
% 0.07/0.26 % launching worker at depth: 6
% 0.07/0.26 % launching worker at depth: 7
% 0.07/0.26 % launching worker at depth: 8
% 0.07/0.26 % launching worker at depth: 9
% 0.07/0.28 % launching worker at depth: 10
% 0.11/0.55 % launching worker at depth: 11
% 157.07/20.01 % SZS status Theorem for theBenchmark
% 157.07/20.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------