%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO053-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 01:38:00 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_v_equals_w)
% Comments :
%------------------------------------------------------------------------------
cnf(83,plain,
v != w,
inference(cnf,[status(esa)],[prove_v_equals_w]) ).
cnf(l0,plain,
v != w,
inference(instantiation,[status(thm)],[83]) ).
cnf(2,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_equidistance]) ).
cnf(l1,plain,
( ~ equidistant(v,w,v,v)
| v = w ),
inference(instantiation,[status(thm)],[2]) ).
cnf(25,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(cnf,[status(esa)],[d4_3]) ).
cnf(l2,plain,
( ~ equidistant(v,v,v,w)
| equidistant(v,w,v,v) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(66,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| equidistant(X1,X4,X3,X5) ),
inference(cnf,[status(esa)],[d13]) ).
cnf(l3,plain,
( ~ equidistant(u,v,u,v)
| ~ equidistant(u,v,u,w)
| ~ between(u,v,v)
| ~ between(u,v,w)
| equidistant(v,v,v,w) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(81,plain,
between(u,v,w),
inference(cnf,[status(esa)],[v_between_u_and_w]) ).
cnf(l66,plain,
between(u,v,w),
inference(instantiation,[status(thm)],[81]) ).
cnf(44,plain,
between(X0,X1,X1),
inference(cnf,[status(esa)],[t3]) ).
cnf(l27,plain,
between(u,v,v),
inference(instantiation,[status(thm)],[44]) ).
cnf(82,plain,
equidistant(u,v,u,w),
inference(cnf,[status(esa)],[u_to_v_equals_u_to_w]) ).
cnf(l7,plain,
equidistant(u,v,u,w),
inference(instantiation,[status(thm)],[82]) ).
cnf(20,plain,
equidistant(X0,X1,X0,X1),
inference(cnf,[status(esa)],[d1]) ).
cnf(l21,plain,
equidistant(u,v,u,v),
inference(instantiation,[status(thm)],[20]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l66,l27,l7,l21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO053-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 10:48:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.48 % launching worker at depth: 10
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------