%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO021-2 : 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 : n021.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 01:37:54 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_symmetry)
% Comments :
%------------------------------------------------------------------------------
cnf(19,plain,
~ equidistant(x,w,v,u),
inference(cnf,[status(esa)],[prove_symmetry]) ).
cnf(l0,plain,
~ equidistant(x,w,v,u),
inference(instantiation,[status(thm)],[19]) ).
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(w,x,x,w)
| ~ equidistant(w,x,v,u)
| equidistant(x,w,v,u) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l6,plain,
( ~ equidistant(u,v,w,x)
| ~ equidistant(u,v,v,u)
| equidistant(w,x,v,u) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
equidistant(X0,X1,X1,X0),
inference(cnf,[status(esa)],[reflexivity_for_equidistance]) ).
cnf(l2,plain,
equidistant(w,x,x,w),
inference(instantiation,[status(thm)],[0]) ).
cnf(18,plain,
equidistant(u,v,w,x),
inference(cnf,[status(esa)],[u_to_v_equals_w_to_x]) ).
cnf(l12,plain,
equidistant(u,v,w,x),
inference(instantiation,[status(thm)],[18]) ).
cnf(l9,plain,
equidistant(u,v,v,u),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l2,l12,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO021-2 : 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
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 10:38:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 6
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.33 % launching worker at depth: 7
% 0.13/0.33 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.57 % SZS status Theorem for theBenchmark
% 0.19/0.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------