%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO064-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 01:38:02 PM UTC 2025
% Result : Unsatisfiable 4.04s 0.92s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_uvw_colinear)
% Comments :
%------------------------------------------------------------------------------
cnf(87,plain,
~ colinear(u,v,w),
inference(cnf,[status(esa)],[prove_uvw_colinear]) ).
cnf(l0,plain,
~ colinear(u,v,w),
inference(instantiation,[status(thm)],[87]) ).
cnf(19,plain,
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
inference(cnf,[status(esa)],[colinearity2]) ).
cnf(l1,plain,
( ~ between(v,w,u)
| colinear(u,v,w) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(83,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X2)
| between(X1,X3,X2)
| between(X3,X1,X2) ),
inference(cnf,[status(esa)],[b14]) ).
cnf(l2,plain,
( ~ between(extension(u,w,X2_13,X2_13),w,u)
| ~ between(extension(u,w,X2_13,X2_13),v,u)
| between(w,v,u)
| between(v,w,u) ),
inference(instantiation,[status(thm)],[83]) ).
cnf(50,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(cnf,[status(esa)],[t1]) ).
cnf(l5,plain,
( ~ between(w,v,u)
| between(u,v,w) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(18,plain,
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
inference(cnf,[status(esa)],[colinearity1]) ).
cnf(l12,plain,
( ~ between(u,v,w)
| colinear(u,v,w) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(84,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X2)
| ~ between(X1,X4,X3)
| between(X0,X4,X2) ),
inference(cnf,[status(esa)],[t8]) ).
cnf(l6,plain,
( ~ between(extension(u,w,X2_13,X2_13),u,u)
| ~ between(extension(u,w,X2_13,X2_13),extension(u,w,X2_13,X2_13),u)
| ~ between(u,w,extension(u,w,X2_13,X2_13))
| between(extension(u,w,X2_13,X2_13),w,u) ),
inference(instantiation,[status(thm)],[84]) ).
cnf(48,plain,
between(X0,X1,X1),
inference(cnf,[status(esa)],[t3]) ).
cnf(l9,plain,
between(extension(u,w,X2_13,X2_13),u,u),
inference(instantiation,[status(thm)],[48]) ).
cnf(51,plain,
between(X0,X0,X1),
inference(cnf,[status(esa)],[t2]) ).
cnf(l8,plain,
between(extension(u,w,X2_13,X2_13),extension(u,w,X2_13,X2_13),u),
inference(instantiation,[status(thm)],[51]) ).
cnf(86,plain,
between(w,v,u),
inference(cnf,[status(esa)],[v_between_w_and_u]) ).
cnf(l32,plain,
between(w,v,u),
inference(instantiation,[status(thm)],[86]) ).
cnf(33,plain,
X0 = extension(X1,X0,X2,X2),
inference(cnf,[status(esa)],[e1]) ).
cnf(l33,plain,
w = extension(u,w,X2_13,X2_13),
inference(instantiation,[status(thm)],[33]) ).
cnf(3,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf,[status(esa)],[segment_construction1]) ).
cnf(l13,plain,
between(u,w,extension(u,w,X2_13,X2_13)),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l12,l6,l9,l8,l32,l33,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO064-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 10:51:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 4.04/0.92 % SZS status Theorem for theBenchmark
% 4.04/0.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------