TSTP Solution File: LAT381+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LAT381+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 : n004.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 : Sun Jul 17 05:40:30 EDT 2022
% Result : Theorem 22.51s 3.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT381+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n004.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 : 600
% 0.13/0.33 % DateTime : Wed Jun 29 19:53:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 22.51/3.47 % SZS status Theorem
% 22.51/3.47 % SZS output begin IncompleteProof
% 22.51/3.47 cnf(c0, axiom,
% 22.51/3.47 xu != xv).
% 22.51/3.47 cnf(c1, plain,
% 22.51/3.47 xu != xv,
% 22.51/3.47 inference(start, [], [c0])).
% 22.51/3.47
% 22.51/3.47 cnf(c2, axiom,
% 22.51/3.47 X0 = X1 | ~sdtlseqdt0(X1,X0) | ~sdtlseqdt0(X0,X1) | ~aElement0(X1) | ~aElement0(X0)).
% 22.51/3.47 cnf(a0, assumption,
% 22.51/3.47 xu = X1).
% 22.51/3.47 cnf(c3, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 22.51/3.47 cnf(c4, plain,
% 22.51/3.47 ~sdtlseqdt0(X1,X0) | ~sdtlseqdt0(X0,X1) | ~aElement0(X1) | ~aElement0(X0),
% 22.51/3.47 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 22.51/3.47 cnf(c5, plain,
% 22.51/3.47 X0 != X2 | X2 != xv,
% 22.51/3.47 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 22.51/3.47
% 22.51/3.47 cnf(a1, assumption,
% 22.51/3.47 X0 = X2).
% 22.51/3.47 cnf(c6, plain,
% 22.51/3.47 X2 != xv,
% 22.51/3.47 inference(reflexivity, [assumptions([a1])], [c5])).
% 22.51/3.47
% 22.51/3.47 cnf(a2, assumption,
% 22.51/3.47 X2 = xv).
% 22.51/3.47 cnf(c7, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(reflexivity, [assumptions([a2])], [c6])).
% 22.51/3.47
% 22.51/3.47 cnf(c8, axiom,
% 22.51/3.47 sdtlseqdt0(X3,X4) | ~aUpperBoundOfIn0(X4,X5,X6) | ~sP8(X3,X6,X5)).
% 22.51/3.47 cnf(a3, assumption,
% 22.51/3.47 X1 = X3).
% 22.51/3.47 cnf(a4, assumption,
% 22.51/3.47 X0 = X4).
% 22.51/3.47 cnf(c9, plain,
% 22.51/3.47 ~sdtlseqdt0(X0,X1) | ~aElement0(X1) | ~aElement0(X0),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 22.51/3.47 cnf(c10, plain,
% 22.51/3.47 ~aUpperBoundOfIn0(X4,X5,X6) | ~sP8(X3,X6,X5),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 22.51/3.47
% 22.51/3.47 cnf(c11, axiom,
% 22.51/3.47 aUpperBoundOfIn0(X7,X8,X9) | ~sP8(X7,X9,X8)).
% 22.51/3.47 cnf(a5, assumption,
% 22.51/3.47 X4 = X7).
% 22.51/3.47 cnf(a6, assumption,
% 22.51/3.47 X5 = X8).
% 22.51/3.47 cnf(a7, assumption,
% 22.51/3.47 X6 = X9).
% 22.51/3.47 cnf(c12, plain,
% 22.51/3.47 ~sP8(X3,X6,X5),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])).
% 22.51/3.47 cnf(c13, plain,
% 22.51/3.47 ~sP8(X7,X9,X8),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])).
% 22.51/3.47
% 22.51/3.47 cnf(c14, axiom,
% 22.51/3.47 sP8(X10,X11,X12) | ~aSupremumOfIn0(X10,X12,X11) | ~sP9(X12,X11)).
% 22.51/3.47 cnf(a8, assumption,
% 22.51/3.47 X7 = X10).
% 22.51/3.47 cnf(a9, assumption,
% 22.51/3.47 X9 = X11).
% 22.51/3.47 cnf(a10, assumption,
% 22.51/3.47 X8 = X12).
% 22.51/3.47 cnf(c15, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c13, c14])).
% 22.51/3.47 cnf(c16, plain,
% 22.51/3.47 ~aSupremumOfIn0(X10,X12,X11) | ~sP9(X12,X11),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c13, c14])).
% 22.51/3.47
% 22.51/3.47 cnf(c17, axiom,
% 22.51/3.47 aSupremumOfIn0(xv,xS,xT)).
% 22.51/3.47 cnf(a11, assumption,
% 22.51/3.47 X10 = xv).
% 22.51/3.47 cnf(a12, assumption,
% 22.51/3.47 X12 = xS).
% 22.51/3.47 cnf(a13, assumption,
% 22.51/3.47 X11 = xT).
% 22.51/3.47 cnf(c18, plain,
% 22.51/3.47 ~sP9(X12,X11),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c16, c17])).
% 22.51/3.47 cnf(c19, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c16, c17])).
% 22.51/3.47
% 22.51/3.47 cnf(c20, axiom,
% 22.51/3.47 sP9(X13,X14) | ~aSubsetOf0(X13,X14) | ~aSet0(X14)).
% 22.51/3.47 cnf(a14, assumption,
% 22.51/3.47 X12 = X13).
% 22.51/3.47 cnf(a15, assumption,
% 22.51/3.47 X11 = X14).
% 22.51/3.47 cnf(c21, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a14, a15])], [c18, c20])).
% 22.51/3.47 cnf(c22, plain,
% 22.51/3.47 ~aSubsetOf0(X13,X14) | ~aSet0(X14),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a14, a15])], [c18, c20])).
% 22.51/3.47
% 22.51/3.47 cnf(c23, axiom,
% 22.51/3.47 aSubsetOf0(xS,xT)).
% 22.51/3.47 cnf(a16, assumption,
% 22.51/3.47 X13 = xS).
% 22.51/3.47 cnf(a17, assumption,
% 22.51/3.47 X14 = xT).
% 22.51/3.47 cnf(c24, plain,
% 22.51/3.47 ~aSet0(X14),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a16, a17])], [c22, c23])).
% 22.51/3.47 cnf(c25, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a16, a17])], [c22, c23])).
% 22.51/3.47
% 22.51/3.47 cnf(c26, axiom,
% 22.51/3.47 aSet0(xT)).
% 22.51/3.47 cnf(a18, assumption,
% 22.51/3.47 X14 = xT).
% 22.51/3.47 cnf(c27, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a18])], [c24, c26])).
% 22.51/3.47 cnf(c28, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a18])], [c24, c26])).
% 22.51/3.47
% 22.51/3.47 cnf(c29, axiom,
% 22.51/3.47 sP8(X15,X16,X17) | ~aSupremumOfIn0(X15,X17,X16) | ~sP9(X17,X16)).
% 22.51/3.47 cnf(a19, assumption,
% 22.51/3.47 X3 = X15).
% 22.51/3.47 cnf(a20, assumption,
% 22.51/3.47 X6 = X16).
% 22.51/3.47 cnf(a21, assumption,
% 22.51/3.47 X5 = X17).
% 22.51/3.47 cnf(c30, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c12, c29])).
% 22.51/3.47 cnf(c31, plain,
% 22.51/3.47 ~aSupremumOfIn0(X15,X17,X16) | ~sP9(X17,X16),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c12, c29])).
% 22.51/3.47
% 22.51/3.47 cnf(c32, axiom,
% 22.51/3.47 aSupremumOfIn0(xu,xS,xT)).
% 22.51/3.47 cnf(a22, assumption,
% 22.51/3.47 X15 = xu).
% 22.51/3.47 cnf(a23, assumption,
% 22.51/3.47 X17 = xS).
% 22.51/3.47 cnf(a24, assumption,
% 22.51/3.47 X16 = xT).
% 22.51/3.47 cnf(c33, plain,
% 22.51/3.47 ~sP9(X17,X16),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c31, c32])).
% 22.51/3.47 cnf(c34, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c31, c32])).
% 22.51/3.47
% 22.51/3.47 cnf(c35, plain,
% 22.51/3.47 sP9(X12,X11)).
% 22.51/3.47 cnf(a25, assumption,
% 22.51/3.47 X17 = X12).
% 22.51/3.47 cnf(a26, assumption,
% 22.51/3.47 X16 = X11).
% 22.51/3.47 cnf(c36, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(predicate_reduction, [assumptions([a25, a26])], [c33, c35])).
% 22.51/3.47
% 22.51/3.47 cnf(c37, axiom,
% 22.51/3.47 sdtlseqdt0(X18,X19) | ~aUpperBoundOfIn0(X19,X20,X21) | ~sP8(X18,X21,X20)).
% 22.51/3.47 cnf(a27, assumption,
% 22.51/3.47 X0 = X18).
% 22.51/3.47 cnf(a28, assumption,
% 22.51/3.47 X1 = X19).
% 22.51/3.47 cnf(c38, plain,
% 22.51/3.47 ~aElement0(X1) | ~aElement0(X0),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a27, a28])], [c9, c37])).
% 22.51/3.47 cnf(c39, plain,
% 22.51/3.47 ~aUpperBoundOfIn0(X19,X20,X21) | ~sP8(X18,X21,X20),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a27, a28])], [c9, c37])).
% 22.51/3.47
% 22.51/3.47 cnf(c40, axiom,
% 22.51/3.47 aUpperBoundOfIn0(X22,X23,X24) | ~sP8(X22,X24,X23)).
% 22.51/3.47 cnf(a29, assumption,
% 22.51/3.47 X19 = X22).
% 22.51/3.47 cnf(a30, assumption,
% 22.51/3.47 X20 = X23).
% 22.51/3.47 cnf(a31, assumption,
% 22.51/3.47 X21 = X24).
% 22.51/3.47 cnf(c41, plain,
% 22.51/3.47 ~sP8(X18,X21,X20),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c39, c40])).
% 22.51/3.47 cnf(c42, plain,
% 22.51/3.47 ~sP8(X22,X24,X23),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c39, c40])).
% 22.51/3.47
% 22.51/3.47 cnf(c43, plain,
% 22.51/3.47 sP8(X3,X6,X5)).
% 22.51/3.47 cnf(a32, assumption,
% 22.51/3.47 X22 = X3).
% 22.51/3.47 cnf(a33, assumption,
% 22.51/3.47 X24 = X6).
% 22.51/3.47 cnf(a34, assumption,
% 22.51/3.47 X23 = X5).
% 22.51/3.47 cnf(c44, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(predicate_reduction, [assumptions([a32, a33, a34])], [c42, c43])).
% 22.51/3.47
% 22.51/3.47 cnf(c45, plain,
% 22.51/3.47 sP8(X7,X9,X8)).
% 22.51/3.47 cnf(a35, assumption,
% 22.51/3.47 X18 = X7).
% 22.51/3.47 cnf(a36, assumption,
% 22.51/3.47 X21 = X9).
% 22.51/3.47 cnf(a37, assumption,
% 22.51/3.47 X20 = X8).
% 22.51/3.47 cnf(c46, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(predicate_reduction, [assumptions([a35, a36, a37])], [c41, c45])).
% 22.51/3.47
% 22.51/3.47 cnf(c47, axiom,
% 22.51/3.47 aElement0(X25) | ~aElementOf0(X25,X26) | ~aSet0(X26)).
% 22.51/3.47 cnf(a38, assumption,
% 22.51/3.47 X1 = X25).
% 22.51/3.47 cnf(c48, plain,
% 22.51/3.47 ~aElement0(X0),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a38])], [c38, c47])).
% 22.51/3.47 cnf(c49, plain,
% 22.51/3.47 ~aElementOf0(X25,X26) | ~aSet0(X26),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a38])], [c38, c47])).
% 22.51/3.47
% 22.51/3.47 cnf(c50, axiom,
% 22.51/3.47 aElementOf0(X27,X28) | ~sP8(X27,X28,X29)).
% 22.51/3.47 cnf(a39, assumption,
% 22.51/3.47 X25 = X27).
% 22.51/3.47 cnf(a40, assumption,
% 22.51/3.47 X26 = X28).
% 22.51/3.47 cnf(c51, plain,
% 22.51/3.47 ~aSet0(X26),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a39, a40])], [c49, c50])).
% 22.51/3.47 cnf(c52, plain,
% 22.51/3.47 ~sP8(X27,X28,X29),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a39, a40])], [c49, c50])).
% 22.51/3.47
% 22.51/3.47 cnf(c53, plain,
% 22.51/3.47 sP8(X3,X6,X5)).
% 22.51/3.47 cnf(a41, assumption,
% 22.51/3.47 X27 = X3).
% 22.51/3.47 cnf(a42, assumption,
% 22.51/3.47 X28 = X6).
% 22.51/3.47 cnf(a43, assumption,
% 22.51/3.47 X29 = X5).
% 22.51/3.47 cnf(c54, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(predicate_reduction, [assumptions([a41, a42, a43])], [c52, c53])).
% 22.51/3.47
% 22.51/3.47 cnf(c55, plain,
% 22.51/3.47 aSet0(X14)).
% 22.51/3.47 cnf(a44, assumption,
% 22.51/3.47 X26 = X14).
% 22.51/3.47 cnf(c56, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(predicate_reduction, [assumptions([a44])], [c51, c55])).
% 22.51/3.47
% 22.51/3.47 cnf(c57, axiom,
% 22.51/3.47 aElement0(X30) | ~aElementOf0(X30,X31) | ~aSet0(X31)).
% 22.51/3.47 cnf(a45, assumption,
% 22.51/3.47 X0 = X30).
% 22.51/3.47 cnf(c58, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a45])], [c48, c57])).
% 22.51/3.47 cnf(c59, plain,
% 22.51/3.47 ~aElementOf0(X30,X31) | ~aSet0(X31),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a45])], [c48, c57])).
% 22.51/3.47
% 22.51/3.47 cnf(c60, axiom,
% 22.51/3.47 aElementOf0(X32,X33) | ~sP8(X32,X33,X34)).
% 22.51/3.47 cnf(a46, assumption,
% 22.51/3.47 X30 = X32).
% 22.51/3.47 cnf(a47, assumption,
% 22.51/3.47 X31 = X33).
% 22.51/3.47 cnf(c61, plain,
% 22.51/3.47 ~aSet0(X31),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a46, a47])], [c59, c60])).
% 22.51/3.47 cnf(c62, plain,
% 22.51/3.47 ~sP8(X32,X33,X34),
% 22.51/3.47 inference(strict_predicate_extension, [assumptions([a46, a47])], [c59, c60])).
% 22.51/3.47
% 22.51/3.47 cnf(c63, plain,
% 22.51/3.47 sP8(X7,X9,X8)).
% 22.51/3.47 cnf(a48, assumption,
% 22.51/3.47 X32 = X7).
% 22.51/3.47 cnf(a49, assumption,
% 22.51/3.47 X33 = X9).
% 22.51/3.47 cnf(a50, assumption,
% 22.51/3.47 X34 = X8).
% 22.51/3.47 cnf(c64, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(predicate_reduction, [assumptions([a48, a49, a50])], [c62, c63])).
% 22.51/3.47
% 22.51/3.47 cnf(c65, plain,
% 22.51/3.47 aSet0(X14)).
% 22.51/3.47 cnf(a51, assumption,
% 22.51/3.47 X31 = X14).
% 22.51/3.47 cnf(c66, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(predicate_reduction, [assumptions([a51])], [c61, c65])).
% 22.51/3.47
% 22.51/3.47 cnf(c67, plain,
% 22.51/3.47 $false,
% 22.51/3.47 inference(constraint_solving, [
% 22.51/3.47 bind(X0, xv),
% 22.51/3.47 bind(X1, xu),
% 22.51/3.47 bind(X2, xv),
% 22.51/3.47 bind(X3, xu),
% 22.51/3.47 bind(X4, xv),
% 22.51/3.47 bind(X5, xS),
% 22.51/3.47 bind(X6, xT),
% 22.51/3.47 bind(X7, xv),
% 22.51/3.47 bind(X8, xS),
% 22.51/3.47 bind(X9, xT),
% 22.51/3.47 bind(X10, xv),
% 22.51/3.47 bind(X11, xT),
% 22.51/3.47 bind(X12, xS),
% 22.51/3.47 bind(X13, xS),
% 22.51/3.47 bind(X14, xT),
% 22.51/3.47 bind(X15, xu),
% 22.51/3.47 bind(X16, xT),
% 22.51/3.47 bind(X17, xS),
% 22.51/3.47 bind(X18, xv),
% 22.51/3.47 bind(X19, xu),
% 22.51/3.47 bind(X20, xS),
% 22.51/3.47 bind(X21, xT),
% 22.51/3.47 bind(X22, xu),
% 22.51/3.47 bind(X23, xS),
% 22.51/3.47 bind(X24, xT),
% 22.51/3.47 bind(X25, xu),
% 22.51/3.47 bind(X26, xT),
% 22.51/3.47 bind(X27, xu),
% 22.51/3.47 bind(X28, xT),
% 22.51/3.47 bind(X29, xS),
% 22.51/3.47 bind(X30, xv),
% 22.51/3.47 bind(X31, xT),
% 22.51/3.47 bind(X32, xv),
% 22.51/3.47 bind(X33, xT),
% 22.51/3.47 bind(X34, xS)
% 22.51/3.47 ],
% 22.51/3.47 [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, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38, a39, a40, a41, a42, a43, a44, a45, a46, a47, a48, a49, a50, a51])).
% 22.51/3.47
% 22.51/3.47 % SZS output end IncompleteProof
%------------------------------------------------------------------------------