%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO022-2 : 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 : n024.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 12.69s 1.98s
% Output : CNFRefutation 12.69s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_transitivity)
% Comments :
%------------------------------------------------------------------------------
cnf(20,plain,
~ equidistant(u,v,y,z),
inference(cnf,[status(esa)],[prove_transitivity]) ).
cnf(l0,plain,
~ equidistant(u,v,y,z),
inference(instantiation,[status(thm)],[20]) ).
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(v,u,u,v)
| ~ equidistant(v,u,y,z)
| equidistant(u,v,y,z) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ equidistant(u,v,v,u)
| ~ equidistant(u,v,u,v)
| equidistant(v,u,u,v) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ equidistant(w,x,v,u)
| ~ equidistant(w,x,y,z)
| equidistant(v,u,y,z) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(19,plain,
equidistant(w,x,y,z),
inference(cnf,[status(esa)],[w_to_x_equals_y_to_z]) ).
cnf(l7,plain,
equidistant(w,x,y,z),
inference(instantiation,[status(thm)],[19]) ).
cnf(l152,plain,
( ~ equidistant(X0_220,extension(X1_220,X0_220,u,v),u,v)
| ~ equidistant(X0_220,extension(X1_220,X0_220,u,v),u,v)
| equidistant(u,v,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(l221,plain,
equidistant(X0_220,extension(X1_220,X0_220,u,v),u,v),
inference(instantiation,[status(thm)],[4]) ).
cnf(l220,plain,
equidistant(X0_220,extension(X1_220,X0_220,u,v),u,v),
inference(instantiation,[status(thm)],[4]) ).
cnf(l4,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(l155,plain,
equidistant(u,v,v,u),
inference(instantiation,[status(thm)],[0]) ).
cnf(l30,plain,
equidistant(u,v,v,u),
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(l6,plain,
equidistant(u,v,w,x),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l7,l152,l221,l220,l4,l155,l30,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO022-2 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 10:38:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.58 % launching worker at depth: 11
% 12.69/1.98 % SZS status Theorem for theBenchmark
% 12.69/1.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------