%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO059-3 : 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 : n017.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 2.38s 0.69s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_congruence)
% Comments :
%------------------------------------------------------------------------------
cnf(41,plain,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
inference(cnf,[status(esa)],[prove_congruence]) ).
cnf(l0,plain,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
inference(instantiation,[status(thm)],[41]) ).
cnf(27,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X0,X1,X4,X5) ),
inference(cnf,[status(esa)],[d5]) ).
cnf(l1,plain,
( ~ equidistant(v,u,v,reflection(u,v))
| ~ equidistant(v,reflection(u,v),v,reflection(reflection(u,v),v))
| equidistant(v,u,v,reflection(reflection(u,v),v)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(25,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X0,X1) ),
inference(cnf,[status(esa)],[d4_4]) ).
cnf(l10,plain,
( ~ equidistant(v,reflection(reflection(u,v),v),reflection(u,v),v)
| equidistant(v,reflection(u,v),v,reflection(reflection(u,v),v)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(31,plain,
equidistant(X0,reflection(X1,X0),X1,X0),
inference(cnf,[status(esa)],[r2_2]) ).
cnf(l11,plain,
equidistant(v,reflection(reflection(u,v),v),reflection(u,v),v),
inference(instantiation,[status(thm)],[31]) ).
cnf(l2,plain,
( ~ equidistant(v,reflection(u,v),u,v)
| equidistant(v,u,v,reflection(u,v)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l3,plain,
equidistant(v,reflection(u,v),u,v),
inference(instantiation,[status(thm)],[31]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l11,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO059-3 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 10:50:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % 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: 4
% 0.12/0.34 % launching worker at depth: 3
% 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
% 0.12/0.35 % launching worker at depth: 10
% 2.38/0.69 % SZS status Theorem for theBenchmark
% 2.38/0.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------