TSTP Solution File: NUM533+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n020.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 : Mon Jul 18 11:33:45 EDT 2022
% Result : Theorem 1.77s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n020.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 : 600
% 0.12/0.33 % DateTime : Wed Jul 6 15:31:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.77/0.56 % SZS status Theorem
% 1.77/0.56 % SZS output begin IncompleteProof
% 1.77/0.56 cnf(c0, axiom,
% 1.77/0.56 aSubsetOf0(xA,xB)).
% 1.77/0.56 cnf(c1, plain,
% 1.77/0.56 aSubsetOf0(xA,xB),
% 1.77/0.56 inference(start, [], [c0])).
% 1.77/0.56
% 1.77/0.56 cnf(c2, axiom,
% 1.77/0.56 sP0(X0,X1) | ~aSubsetOf0(X1,X0) | ~sP1(X0)).
% 1.77/0.56 cnf(a0, assumption,
% 1.77/0.56 xA = X1).
% 1.77/0.56 cnf(a1, assumption,
% 1.77/0.56 xB = X0).
% 1.77/0.56 cnf(c3, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 1.77/0.56 cnf(c4, plain,
% 1.77/0.56 sP0(X0,X1) | ~sP1(X0),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 1.77/0.56
% 1.77/0.56 cnf(c5, axiom,
% 1.77/0.56 aElementOf0(X2,X3) | ~aElementOf0(X2,X4) | ~sP0(X3,X4)).
% 1.77/0.56 cnf(a2, assumption,
% 1.77/0.56 X0 = X3).
% 1.77/0.56 cnf(a3, assumption,
% 1.77/0.56 X1 = X4).
% 1.77/0.56 cnf(c6, plain,
% 1.77/0.56 ~sP1(X0),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 1.77/0.56 cnf(c7, plain,
% 1.77/0.56 aElementOf0(X2,X3) | ~aElementOf0(X2,X4),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 1.77/0.56
% 1.77/0.56 cnf(c8, axiom,
% 1.77/0.56 aElementOf0(X5,X6) | ~aElementOf0(X5,X7) | ~sP0(X6,X7)).
% 1.77/0.56 cnf(a4, assumption,
% 1.77/0.56 X2 = X5).
% 1.77/0.56 cnf(a5, assumption,
% 1.77/0.56 X3 = X7).
% 1.77/0.56 cnf(c9, plain,
% 1.77/0.56 ~aElementOf0(X2,X4),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 1.77/0.56 cnf(c10, plain,
% 1.77/0.56 aElementOf0(X5,X6) | ~sP0(X6,X7),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 1.77/0.56
% 1.77/0.56 cnf(c11, axiom,
% 1.77/0.56 sP0(X8,X9) | ~aElementOf0(sK3(X8,X9),X8) | ~aSet0(X9)).
% 1.77/0.56 cnf(a6, assumption,
% 1.77/0.56 X5 = sK3(X8,X9)).
% 1.77/0.56 cnf(a7, assumption,
% 1.77/0.56 X6 = X8).
% 1.77/0.56 cnf(c12, plain,
% 1.77/0.56 ~sP0(X6,X7),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 1.77/0.56 cnf(c13, plain,
% 1.77/0.56 sP0(X8,X9) | ~aSet0(X9),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 1.77/0.56
% 1.77/0.56 cnf(c14, axiom,
% 1.77/0.56 aSubsetOf0(X10,X11) | ~sP0(X11,X10) | ~sP1(X11)).
% 1.77/0.56 cnf(a8, assumption,
% 1.77/0.56 X8 = X11).
% 1.77/0.56 cnf(a9, assumption,
% 1.77/0.56 X9 = X10).
% 1.77/0.56 cnf(c15, plain,
% 1.77/0.56 ~aSet0(X9),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 1.77/0.56 cnf(c16, plain,
% 1.77/0.56 aSubsetOf0(X10,X11) | ~sP1(X11),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 1.77/0.56
% 1.77/0.56 cnf(c17, axiom,
% 1.77/0.56 ~aSubsetOf0(xA,xC)).
% 1.77/0.56 cnf(a10, assumption,
% 1.77/0.56 X10 = xA).
% 1.77/0.56 cnf(a11, assumption,
% 1.77/0.56 X11 = xC).
% 1.77/0.56 cnf(c18, plain,
% 1.77/0.56 ~sP1(X11),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 1.77/0.56 cnf(c19, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 1.77/0.56
% 1.77/0.56 cnf(c20, axiom,
% 1.77/0.56 sP1(X12) | ~aSet0(X12)).
% 1.77/0.56 cnf(a12, assumption,
% 1.77/0.56 X11 = X12).
% 1.77/0.56 cnf(c21, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a12])], [c18, c20])).
% 1.77/0.56 cnf(c22, plain,
% 1.77/0.56 ~aSet0(X12),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a12])], [c18, c20])).
% 1.77/0.56
% 1.77/0.56 cnf(c23, axiom,
% 1.77/0.56 aSet0(xC)).
% 1.77/0.56 cnf(a13, assumption,
% 1.77/0.56 X12 = xC).
% 1.77/0.56 cnf(c24, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a13])], [c22, c23])).
% 1.77/0.56 cnf(c25, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a13])], [c22, c23])).
% 1.77/0.56
% 1.77/0.56 cnf(c26, axiom,
% 1.77/0.56 aSet0(xA)).
% 1.77/0.56 cnf(a14, assumption,
% 1.77/0.56 X9 = xA).
% 1.77/0.56 cnf(c27, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a14])], [c15, c26])).
% 1.77/0.56 cnf(c28, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a14])], [c15, c26])).
% 1.77/0.56
% 1.77/0.56 cnf(c29, axiom,
% 1.77/0.56 sP0(X13,X14) | ~aSubsetOf0(X14,X13) | ~sP1(X13)).
% 1.77/0.56 cnf(a15, assumption,
% 1.77/0.56 X6 = X13).
% 1.77/0.56 cnf(a16, assumption,
% 1.77/0.56 X7 = X14).
% 1.77/0.56 cnf(c30, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a15, a16])], [c12, c29])).
% 1.77/0.56 cnf(c31, plain,
% 1.77/0.56 ~aSubsetOf0(X14,X13) | ~sP1(X13),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a15, a16])], [c12, c29])).
% 1.77/0.56
% 1.77/0.56 cnf(c32, axiom,
% 1.77/0.56 aSubsetOf0(xB,xC)).
% 1.77/0.56 cnf(a17, assumption,
% 1.77/0.56 X14 = xB).
% 1.77/0.56 cnf(a18, assumption,
% 1.77/0.56 X13 = xC).
% 1.77/0.56 cnf(c33, plain,
% 1.77/0.56 ~sP1(X13),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a17, a18])], [c31, c32])).
% 1.77/0.56 cnf(c34, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a17, a18])], [c31, c32])).
% 1.77/0.56
% 1.77/0.56 cnf(c35, plain,
% 1.77/0.56 sP1(X11)).
% 1.77/0.56 cnf(a19, assumption,
% 1.77/0.56 X13 = X11).
% 1.77/0.56 cnf(c36, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(predicate_reduction, [assumptions([a19])], [c33, c35])).
% 1.77/0.56
% 1.77/0.56 cnf(c37, axiom,
% 1.77/0.56 sP0(X15,X16) | aElementOf0(sK3(X15,X16),X16) | ~aSet0(X16)).
% 1.77/0.56 cnf(a20, assumption,
% 1.77/0.56 X2 = sK3(X15,X16)).
% 1.77/0.56 cnf(a21, assumption,
% 1.77/0.56 X4 = X16).
% 1.77/0.56 cnf(c38, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a20, a21])], [c9, c37])).
% 1.77/0.56 cnf(c39, plain,
% 1.77/0.56 sP0(X15,X16) | ~aSet0(X16),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a20, a21])], [c9, c37])).
% 1.77/0.56
% 1.77/0.56 cnf(c40, plain,
% 1.77/0.56 ~sP0(X8,X9)).
% 1.77/0.56 cnf(a22, assumption,
% 1.77/0.56 X15 = X8).
% 1.77/0.56 cnf(a23, assumption,
% 1.77/0.56 X16 = X9).
% 1.77/0.56 cnf(c41, plain,
% 1.77/0.56 ~aSet0(X16),
% 1.77/0.56 inference(predicate_reduction, [assumptions([a22, a23])], [c39, c40])).
% 1.77/0.56
% 1.77/0.56 cnf(c42, plain,
% 1.77/0.56 aSet0(X9)).
% 1.77/0.56 cnf(a24, assumption,
% 1.77/0.56 X16 = X9).
% 1.77/0.56 cnf(c43, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(predicate_reduction, [assumptions([a24])], [c41, c42])).
% 1.77/0.56
% 1.77/0.56 cnf(c44, axiom,
% 1.77/0.56 sP1(X17) | ~aSet0(X17)).
% 1.77/0.56 cnf(a25, assumption,
% 1.77/0.56 X0 = X17).
% 1.77/0.56 cnf(c45, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a25])], [c6, c44])).
% 1.77/0.56 cnf(c46, plain,
% 1.77/0.56 ~aSet0(X17),
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a25])], [c6, c44])).
% 1.77/0.56
% 1.77/0.56 cnf(c47, axiom,
% 1.77/0.56 aSet0(xB)).
% 1.77/0.56 cnf(a26, assumption,
% 1.77/0.56 X17 = xB).
% 1.77/0.56 cnf(c48, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a26])], [c46, c47])).
% 1.77/0.56 cnf(c49, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(strict_predicate_extension, [assumptions([a26])], [c46, c47])).
% 1.77/0.56
% 1.77/0.56 cnf(c50, plain,
% 1.77/0.56 $false,
% 1.77/0.56 inference(constraint_solving, [
% 1.77/0.56 bind(X0, xB),
% 1.77/0.56 bind(X1, xA),
% 1.77/0.56 bind(X2, sK3(X8,X9)),
% 1.77/0.56 bind(X3, xB),
% 1.77/0.56 bind(X4, xA),
% 1.77/0.56 bind(X5, sK3(X8,X9)),
% 1.77/0.56 bind(X6, xC),
% 1.77/0.56 bind(X7, xB),
% 1.77/0.56 bind(X8, xC),
% 1.77/0.56 bind(X9, xA),
% 1.77/0.56 bind(X10, xA),
% 1.77/0.56 bind(X11, xC),
% 1.77/0.56 bind(X12, xC),
% 1.77/0.56 bind(X13, xC),
% 1.77/0.56 bind(X14, xB),
% 1.77/0.56 bind(X15, xC),
% 1.77/0.56 bind(X16, xA),
% 1.77/0.56 bind(X17, xB)
% 1.77/0.56 ],
% 1.77/0.56 [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])).
% 1.77/0.56
% 1.77/0.56 % SZS output end IncompleteProof
%------------------------------------------------------------------------------