%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO024-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 01:37:55 PM UTC 2025
% Result : Unsatisfiable 4.78s 0.94s
% Output : CNFRefutation 4.78s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_congruence)
% Comments :
%------------------------------------------------------------------------------
cnf(18,plain,
~ equidistant(u,u,v,v),
inference(cnf,[status(esa)],[prove_congruence]) ).
cnf(l0,plain,
~ equidistant(u,u,v,v),
inference(instantiation,[status(thm)],[18]) ).
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(l1,plain,
( ~ equidistant(extension(X1_33,v,u,u),v,u,u)
| ~ equidistant(extension(X1_33,v,u,u),v,v,v)
| equidistant(u,u,v,v) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ equidistant(u,u,extension(X1_33,v,u,u),v)
| ~ equidistant(u,u,u,u)
| equidistant(extension(X1_33,v,u,u),v,u,u) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ equidistant(v,extension(X1_33,v,u,u),u,u)
| ~ equidistant(v,extension(X1_33,v,u,u),extension(X1_33,v,u,u),v)
| equidistant(u,u,extension(X1_33,v,u,u),v) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf,[status(esa)],[segment_construction2]) ).
cnf(l11,plain,
equidistant(v,extension(X1_33,v,u,u),u,u),
inference(instantiation,[status(thm)],[4]) ).
cnf(l4,plain,
( ~ equidistant(X0_6,extension(X1_6,X0_6,u,u),u,u)
| ~ equidistant(X0_6,extension(X1_6,X0_6,u,u),u,u)
| equidistant(u,u,u,u) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
equidistant(X0_6,extension(X1_6,X0_6,u,u),u,u),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
equidistant(X0,X1,X1,X0),
inference(cnf,[status(esa)],[reflexivity_for_equidistance]) ).
cnf(l7,plain,
equidistant(v,extension(X1_33,v,u,u),extension(X1_33,v,u,u),v),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
equidistant(X0_6,extension(X1_6,X0_6,u,u),u,u),
inference(instantiation,[status(thm)],[4]) ).
cnf(l37,plain,
equidistant(v,v,v,v),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_equidistance]) ).
cnf(l20,plain,
( ~ equidistant(v,extension(X1_33,v,u,u),u,u)
| v = extension(X1_33,v,u,u) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l33,plain,
equidistant(v,extension(X1_33,v,u,u),u,u),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l11,l4,l9,l7,l6,l37,l20,l33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO024-2 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 10:38:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 1.69/0.58 % launching worker at depth: 11
% 4.78/0.94 % SZS status Theorem for theBenchmark
% 4.78/0.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------