TSTP Solution File: GEO020-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO020-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n005.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 : 600s
% DateTime : Sat Jul 16 04:58:22 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO020-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 16:11:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % SZS status Unsatisfiable
% 0.12/0.35 % SZS output begin IncompleteProof
% 0.12/0.35 cnf(c0, axiom,
% 0.12/0.35 ~equidistant(x,w,u,v)).
% 0.12/0.35 cnf(c1, plain,
% 0.12/0.35 ~equidistant(x,w,u,v),
% 0.12/0.35 inference(start, [], [c0])).
% 0.12/0.35
% 0.12/0.35 cnf(c2, axiom,
% 0.12/0.35 equidistant(X0,X1,X2,X3) | ~equidistant(X4,X5,X2,X3) | ~equidistant(X4,X5,X0,X1)).
% 0.12/0.35 cnf(a0, assumption,
% 0.12/0.35 x = X0).
% 0.12/0.35 cnf(a1, assumption,
% 0.12/0.35 w = X1).
% 0.12/0.35 cnf(a2, assumption,
% 0.12/0.35 u = X2).
% 0.12/0.35 cnf(a3, assumption,
% 0.12/0.35 v = X3).
% 0.12/0.35 cnf(c3, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2, a3])], [c1, c2])).
% 0.12/0.35 cnf(c4, plain,
% 0.12/0.35 ~equidistant(X4,X5,X2,X3) | ~equidistant(X4,X5,X0,X1),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2, a3])], [c1, c2])).
% 0.12/0.35
% 0.12/0.35 cnf(c5, axiom,
% 0.12/0.35 equidistant(X6,X7,X8,X9) | ~equidistant(X10,X11,X8,X9) | ~equidistant(X10,X11,X6,X7)).
% 0.12/0.35 cnf(a4, assumption,
% 0.12/0.35 X4 = X6).
% 0.12/0.35 cnf(a5, assumption,
% 0.12/0.35 X5 = X7).
% 0.12/0.35 cnf(a6, assumption,
% 0.12/0.35 X2 = X8).
% 0.12/0.35 cnf(a7, assumption,
% 0.12/0.35 X3 = X9).
% 0.12/0.35 cnf(c6, plain,
% 0.12/0.35 ~equidistant(X4,X5,X0,X1),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a4, a5, a6, a7])], [c4, c5])).
% 0.12/0.35 cnf(c7, plain,
% 0.12/0.35 ~equidistant(X10,X11,X8,X9) | ~equidistant(X10,X11,X6,X7),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a4, a5, a6, a7])], [c4, c5])).
% 0.12/0.35
% 0.12/0.35 cnf(c8, axiom,
% 0.12/0.35 equidistant(X12,X13,X14,X15) | ~equidistant(X16,X17,X14,X15) | ~equidistant(X16,X17,X12,X13)).
% 0.12/0.35 cnf(a8, assumption,
% 0.12/0.35 X10 = X12).
% 0.12/0.35 cnf(a9, assumption,
% 0.12/0.35 X11 = X13).
% 0.12/0.35 cnf(a10, assumption,
% 0.12/0.35 X8 = X14).
% 0.12/0.35 cnf(a11, assumption,
% 0.12/0.35 X9 = X15).
% 0.12/0.35 cnf(c9, plain,
% 0.12/0.35 ~equidistant(X10,X11,X6,X7),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10, a11])], [c7, c8])).
% 0.12/0.35 cnf(c10, plain,
% 0.12/0.35 ~equidistant(X16,X17,X14,X15) | ~equidistant(X16,X17,X12,X13),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10, a11])], [c7, c8])).
% 0.12/0.35
% 0.12/0.35 cnf(c11, axiom,
% 0.12/0.35 equidistant(X18,extension(X19,X18,X20,X21),X20,X21)).
% 0.12/0.35 cnf(a12, assumption,
% 0.12/0.35 X16 = X18).
% 0.12/0.35 cnf(a13, assumption,
% 0.12/0.35 X17 = extension(X19,X18,X20,X21)).
% 0.12/0.35 cnf(a14, assumption,
% 0.12/0.35 X14 = X20).
% 0.12/0.35 cnf(a15, assumption,
% 0.12/0.35 X15 = X21).
% 0.12/0.35 cnf(c12, plain,
% 0.12/0.35 ~equidistant(X16,X17,X12,X13),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14, a15])], [c10, c11])).
% 0.12/0.35 cnf(c13, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14, a15])], [c10, c11])).
% 0.12/0.35
% 0.12/0.35 cnf(c14, plain,
% 0.12/0.35 equidistant(X16,X17,X14,X15)).
% 0.12/0.35 cnf(a16, assumption,
% 0.12/0.35 X16 = X16).
% 0.12/0.35 cnf(a17, assumption,
% 0.12/0.35 X17 = X17).
% 0.12/0.35 cnf(a18, assumption,
% 0.12/0.35 X12 = X14).
% 0.12/0.35 cnf(a19, assumption,
% 0.12/0.35 X13 = X15).
% 0.12/0.35 cnf(c15, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(predicate_reduction, [assumptions([a16, a17, a18, a19])], [c12, c14])).
% 0.12/0.35
% 0.12/0.35 cnf(c16, axiom,
% 0.12/0.35 equidistant(u,v,w,x)).
% 0.12/0.35 cnf(a20, assumption,
% 0.12/0.35 X10 = u).
% 0.12/0.35 cnf(a21, assumption,
% 0.12/0.35 X11 = v).
% 0.12/0.35 cnf(a22, assumption,
% 0.12/0.35 X6 = w).
% 0.12/0.35 cnf(a23, assumption,
% 0.12/0.35 X7 = x).
% 0.12/0.35 cnf(c17, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a20, a21, a22, a23])], [c9, c16])).
% 0.12/0.35 cnf(c18, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a20, a21, a22, a23])], [c9, c16])).
% 0.12/0.35
% 0.12/0.35 cnf(c19, axiom,
% 0.12/0.35 equidistant(X22,X23,X23,X22)).
% 0.12/0.35 cnf(a24, assumption,
% 0.12/0.35 X4 = X22).
% 0.12/0.35 cnf(a25, assumption,
% 0.12/0.35 X5 = X23).
% 0.12/0.35 cnf(a26, assumption,
% 0.12/0.35 X0 = X23).
% 0.12/0.35 cnf(a27, assumption,
% 0.12/0.35 X1 = X22).
% 0.12/0.35 cnf(c20, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a24, a25, a26, a27])], [c6, c19])).
% 0.12/0.35 cnf(c21, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a24, a25, a26, a27])], [c6, c19])).
% 0.12/0.35
% 0.12/0.35 cnf(c22, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(constraint_solving, [
% 0.12/0.35 bind(X0, x),
% 0.12/0.35 bind(X1, w),
% 0.12/0.35 bind(X2, u),
% 0.12/0.35 bind(X3, v),
% 0.12/0.35 bind(X4, w),
% 0.12/0.35 bind(X5, x),
% 0.12/0.35 bind(X6, w),
% 0.12/0.35 bind(X7, x),
% 0.12/0.35 bind(X8, u),
% 0.12/0.35 bind(X9, v),
% 0.12/0.35 bind(X10, u),
% 0.12/0.35 bind(X11, v),
% 0.12/0.35 bind(X12, u),
% 0.12/0.35 bind(X13, v),
% 0.12/0.35 bind(X14, u),
% 0.12/0.35 bind(X15, v),
% 0.12/0.35 bind(X16, X18),
% 0.12/0.35 bind(X17, extension(X19,X18,X20,X21)),
% 0.12/0.35 bind(X18, X18),
% 0.12/0.35 bind(X19, X19),
% 0.12/0.35 bind(X20, u),
% 0.12/0.35 bind(X21, v),
% 0.12/0.35 bind(X22, w),
% 0.12/0.35 bind(X23, x)
% 0.12/0.35 ],
% 0.12/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27])).
% 0.12/0.35
% 0.12/0.35 % SZS output end IncompleteProof
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