%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO055-3 : 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 : n032.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 0.13s 0.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_equidistance)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
~ equidistant(v,reflection(u,v),u,v),
inference(cnf,[status(esa)],[prove_equidistance]) ).
cnf(l0,plain,
~ equidistant(v,reflection(u,v),u,v),
inference(instantiation,[status(thm)],[30]) ).
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,reflection(u,v),extension(u,v,u,v),v)
| ~ equidistant(extension(u,v,u,v),v,u,v)
| equidistant(v,reflection(u,v),u,v) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(21,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
inference(cnf,[status(esa)],[d3]) ).
cnf(l2,plain,
( ~ equidistant(v,extension(u,v,u,v),u,v)
| equidistant(extension(u,v,u,v),v,u,v) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(4,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf,[status(esa)],[segment_construction2]) ).
cnf(l4,plain,
equidistant(v,extension(u,v,u,v),u,v),
inference(instantiation,[status(thm)],[4]) ).
cnf(18,plain,
reflection(X0,X1) = extension(X0,X1,X0,X1),
inference(cnf,[status(esa)],[reflection]) ).
cnf(l8,plain,
reflection(u,v) = extension(u,v,u,v),
inference(instantiation,[status(thm)],[18]) ).
cnf(0,plain,
equidistant(X0,X1,X1,X0),
inference(cnf,[status(esa)],[reflexivity_for_equidistance]) ).
cnf(l6,plain,
equidistant(v,reflection(u,v),reflection(u,v),v),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l8,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GEO055-3 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jul 20 10:49:49 EDT 2025
% 0.09/0.28 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.29 % launching worker at depth: 10
% 0.13/0.32 % SZS status Theorem for theBenchmark
% 0.13/0.32 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------