%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO032-3 : 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 : n021.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 01:37:56 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named v_to_w_equals_v1_to_w1)
% Comments :
%------------------------------------------------------------------------------
cnf(69,plain,
~ equidistant(v,w,v1,w1),
inference(cnf,[status(esa)],[v_to_w_equals_v1_to_w1]) ).
cnf(l0,plain,
~ equidistant(v,w,v1,w1),
inference(instantiation,[status(thm)],[69]) ).
cnf(64,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X4,X6,X5,X7)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| equidistant(X1,X6,X3,X7) ),
inference(cnf,[status(esa)],[d12]) ).
cnf(l1,plain,
( ~ equidistant(u,v,u1,v1)
| ~ equidistant(u,w,u1,w1)
| ~ equidistant(u,w,u1,w1)
| ~ equidistant(w,w,w1,w1)
| ~ between(u,v,w)
| ~ between(u1,v1,w1)
| equidistant(v,w,v1,w1) ),
inference(instantiation,[status(thm)],[64]) ).
cnf(35,plain,
equidistant(X0,X0,X1,X1),
inference(cnf,[status(esa)],[d7]) ).
cnf(l5,plain,
equidistant(w,w,w1,w1),
inference(instantiation,[status(thm)],[35]) ).
cnf(65,plain,
between(u,v,w),
inference(cnf,[status(esa)],[v_between_u_and_w]) ).
cnf(l8,plain,
between(u,v,w),
inference(instantiation,[status(thm)],[65]) ).
cnf(68,plain,
equidistant(u,w,u1,w1),
inference(cnf,[status(esa)],[u_to_w_equals_u1_to_w1]) ).
cnf(l4,plain,
equidistant(u,w,u1,w1),
inference(instantiation,[status(thm)],[68]) ).
cnf(67,plain,
equidistant(u,v,u1,v1),
inference(cnf,[status(esa)],[u_to_v_equals_u1_to_v1]) ).
cnf(l2,plain,
equidistant(u,v,u1,v1),
inference(instantiation,[status(thm)],[67]) ).
cnf(l3,plain,
equidistant(u,w,u1,w1),
inference(instantiation,[status(thm)],[68]) ).
cnf(66,plain,
between(u1,v1,w1),
inference(cnf,[status(esa)],[v1_between_u1_and_w1]) ).
cnf(l7,plain,
between(u1,v1,w1),
inference(instantiation,[status(thm)],[66]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l8,l4,l2,l3,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO032-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 10:41:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------