%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO056-3 : 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 : n019.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 50.14s 6.63s
% Output : CNFRefutation 50.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_v_equals_reflection)
% Comments :
%------------------------------------------------------------------------------
cnf(33,plain,
v != reflection(u,v),
inference(cnf,[status(esa)],[prove_v_equals_reflection]) ).
cnf(l0,plain,
v != reflection(u,v),
inference(instantiation,[status(thm)],[33]) ).
cnf(2,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_equidistance]) ).
cnf(l1,plain,
( ~ equidistant(v,reflection(u,v),v,v)
| v = reflection(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(l3,plain,
( ~ equidistant(v,u,v,reflection(u,v))
| ~ equidistant(v,u,v,v)
| equidistant(v,reflection(u,v),v,v) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(25,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X0,X1) ),
inference(cnf,[status(esa)],[d4_4]) ).
cnf(l44,plain,
( ~ equidistant(v,reflection(u,v),u,v)
| equidistant(v,u,v,reflection(u,v)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(31,plain,
equidistant(X0,reflection(X1,X0),X1,X0),
inference(cnf,[status(esa)],[r2_2]) ).
cnf(l47,plain,
equidistant(v,reflection(u,v),u,v),
inference(instantiation,[status(thm)],[31]) ).
cnf(32,plain,
u = v,
inference(cnf,[status(esa)],[u_equals_v]) ).
cnf(l97,plain,
u = v,
inference(instantiation,[status(thm)],[32]) ).
cnf(l84,plain,
u = v,
inference(instantiation,[status(thm)],[32]) ).
cnf(0,plain,
equidistant(X0,X1,X1,X0),
inference(cnf,[status(esa)],[reflexivity_for_equidistance]) ).
cnf(l81,plain,
equidistant(u,u,u,u),
inference(instantiation,[status(thm)],[0]) ).
cnf(l78,plain,
u = v,
inference(instantiation,[status(thm)],[32]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l44,l47,l97,l84,l81,l78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO056-3 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 10:49:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 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: 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.36 % launching worker at depth: 10
% 50.14/6.63 % SZS status Theorem for theBenchmark
% 50.14/6.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------