%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO058-2 : TPTP v9.0.0. Released v1.0.0.
% 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 01:38:01 PM UTC 2025
% Result : Unsatisfiable 39.84s 5.40s
% Output : CNFRefutation 39.84s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_u_equals_v)
% Comments :
%------------------------------------------------------------------------------
cnf(20,plain,
u != v,
inference(cnf,[status(esa)],[prove_u_equals_v]) ).
cnf(l0,plain,
u != v,
inference(instantiation,[status(thm)],[20]) ).
cnf(2,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_equidistance]) ).
cnf(l1,plain,
( ~ equidistant(u,v,reflection(u,v),reflection(u,v))
| u = v ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
inference(cnf,[status(esa)],[transitivity_for_equidistance]) ).
cnf(l2,plain,
( ~ equidistant(reflection(u,v),extension(u,v,u,v),u,v)
| ~ equidistant(reflection(u,v),extension(u,v,u,v),reflection(u,v),reflection(u,v))
| equidistant(u,v,reflection(u,v),reflection(u,v)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(19,plain,
v = reflection(u,v),
inference(cnf,[status(esa)],[v_equals_reflection]) ).
cnf(l5,plain,
v = reflection(u,v),
inference(instantiation,[status(thm)],[19]) ).
cnf(4,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf,[status(esa)],[segment_construction2]) ).
cnf(l53,plain,
equidistant(v,extension(u,v,u,v),u,v),
inference(instantiation,[status(thm)],[4]) ).
cnf(l7,plain,
v = reflection(u,v),
inference(instantiation,[status(thm)],[19]) ).
cnf(0,plain,
equidistant(X0,X1,X1,X0),
inference(cnf,[status(esa)],[reflexivity_for_equidistance]) ).
cnf(l34,plain,
equidistant(v,reflection(u,v),reflection(u,v),v),
inference(instantiation,[status(thm)],[0]) ).
cnf(18,plain,
reflection(X0,X1) = extension(X0,X1,X0,X1),
inference(cnf,[status(esa)],[reflection]) ).
cnf(l17,plain,
reflection(u,v) = extension(u,v,u,v),
inference(instantiation,[status(thm)],[18]) ).
cnf(l10,plain,
v = reflection(u,v),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l53,l7,l34,l17,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO058-2 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 10:50:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 3
% 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: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 8.73/1.42 % launching worker at depth: 11
% 39.84/5.40 % SZS status Theorem for theBenchmark
% 39.84/5.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------