TSTP Solution File: SET791+4 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n007.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 : Tue Jul 19 02:48:09 EDT 2022
% Result : Theorem 269.61s 35.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n007.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 : Sun Jul 10 11:39:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 269.61/35.75 % SZS status Theorem
% 269.61/35.75 % SZS output begin IncompleteProof
% 269.61/35.75 cnf(c0, axiom,
% 269.61/35.75 ~max(sK28,sK26,sK27)).
% 269.61/35.75 cnf(c1, plain,
% 269.61/35.75 ~max(sK28,sK26,sK27),
% 269.61/35.75 inference(start, [], [c0])).
% 269.61/35.75
% 269.61/35.75 cnf(c2, axiom,
% 269.61/35.75 max(X0,X1,X2) | ~sP6(X0,X1,X2) | ~member(X0,X2)).
% 269.61/35.75 cnf(a0, assumption,
% 269.61/35.75 sK28 = X0).
% 269.61/35.75 cnf(a1, assumption,
% 269.61/35.75 sK26 = X1).
% 269.61/35.75 cnf(a2, assumption,
% 269.61/35.75 sK27 = X2).
% 269.61/35.75 cnf(c3, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 269.61/35.75 cnf(c4, plain,
% 269.61/35.75 ~sP6(X0,X1,X2) | ~member(X0,X2),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 269.61/35.75
% 269.61/35.75 cnf(c5, axiom,
% 269.61/35.75 sP6(X3,X4,X5) | apply(X4,X3,sK22(X3,X4,X5))).
% 269.61/35.75 cnf(a3, assumption,
% 269.61/35.75 X0 = X3).
% 269.61/35.75 cnf(a4, assumption,
% 269.61/35.75 X1 = X4).
% 269.61/35.75 cnf(a5, assumption,
% 269.61/35.75 X2 = X5).
% 269.61/35.75 cnf(c6, plain,
% 269.61/35.75 ~member(X0,X2),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 269.61/35.75 cnf(c7, plain,
% 269.61/35.75 apply(X4,X3,sK22(X3,X4,X5)),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 269.61/35.75
% 269.61/35.75 cnf(c8, axiom,
% 269.61/35.75 X6 = X7 | ~apply(X8,X7,X6) | ~apply(X8,X6,X7) | ~member(X7,X9) | ~member(X6,X9) | ~sP0(X8,X9)).
% 269.61/35.75 cnf(a6, assumption,
% 269.61/35.75 X4 = X8).
% 269.61/35.75 cnf(a7, assumption,
% 269.61/35.75 X3 = X7).
% 269.61/35.75 cnf(a8, assumption,
% 269.61/35.75 sK22(X3,X4,X5) = X6).
% 269.61/35.75 cnf(c9, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 269.61/35.75 cnf(c10, plain,
% 269.61/35.75 X6 = X7 | ~apply(X8,X6,X7) | ~member(X7,X9) | ~member(X6,X9) | ~sP0(X8,X9),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 269.61/35.75
% 269.61/35.75 cnf(c11, axiom,
% 269.61/35.75 sP6(X10,X11,X12) | sK22(X10,X11,X12) != X10).
% 269.61/35.75 cnf(a9, assumption,
% 269.61/35.75 sK22(X10,X11,X12) = X6).
% 269.61/35.75 cnf(c12, plain,
% 269.61/35.75 ~apply(X8,X6,X7) | ~member(X7,X9) | ~member(X6,X9) | ~sP0(X8,X9),
% 269.61/35.75 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])).
% 269.61/35.75 cnf(c13, plain,
% 269.61/35.75 sP6(X10,X11,X12),
% 269.61/35.75 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])).
% 269.61/35.75 cnf(c14, plain,
% 269.61/35.75 X7 != X10,
% 269.61/35.75 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])).
% 269.61/35.75
% 269.61/35.75 cnf(a10, assumption,
% 269.61/35.75 X7 = X10).
% 269.61/35.75 cnf(c15, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(reflexivity, [assumptions([a10])], [c14])).
% 269.61/35.75
% 269.61/35.75 cnf(c16, plain,
% 269.61/35.75 ~sP6(X0,X1,X2)).
% 269.61/35.75 cnf(a11, assumption,
% 269.61/35.75 X10 = X0).
% 269.61/35.75 cnf(a12, assumption,
% 269.61/35.75 X11 = X1).
% 269.61/35.75 cnf(a13, assumption,
% 269.61/35.75 X12 = X2).
% 269.61/35.75 cnf(c17, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(predicate_reduction, [assumptions([a11, a12, a13])], [c13, c16])).
% 269.61/35.75
% 269.61/35.75 cnf(c18, axiom,
% 269.61/35.75 apply(X13,X14,X15) | ~member(X14,X16) | ~sP4(X15,X13,X16)).
% 269.61/35.75 cnf(a14, assumption,
% 269.61/35.75 X8 = X13).
% 269.61/35.75 cnf(a15, assumption,
% 269.61/35.75 X6 = X14).
% 269.61/35.75 cnf(a16, assumption,
% 269.61/35.75 X7 = X15).
% 269.61/35.75 cnf(c19, plain,
% 269.61/35.75 ~member(X7,X9) | ~member(X6,X9) | ~sP0(X8,X9),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c12, c18])).
% 269.61/35.75 cnf(c20, plain,
% 269.61/35.75 ~member(X14,X16) | ~sP4(X15,X13,X16),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c12, c18])).
% 269.61/35.75
% 269.61/35.75 cnf(c21, axiom,
% 269.61/35.75 sP6(X17,X18,X19) | member(sK22(X17,X18,X19),X19)).
% 269.61/35.75 cnf(a17, assumption,
% 269.61/35.75 X14 = sK22(X17,X18,X19)).
% 269.61/35.75 cnf(a18, assumption,
% 269.61/35.75 X16 = X19).
% 269.61/35.75 cnf(c22, plain,
% 269.61/35.75 ~sP4(X15,X13,X16),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a17, a18])], [c20, c21])).
% 269.61/35.75 cnf(c23, plain,
% 269.61/35.75 sP6(X17,X18,X19),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a17, a18])], [c20, c21])).
% 269.61/35.75
% 269.61/35.75 cnf(c24, plain,
% 269.61/35.75 ~sP6(X0,X1,X2)).
% 269.61/35.75 cnf(a19, assumption,
% 269.61/35.75 X17 = X0).
% 269.61/35.75 cnf(a20, assumption,
% 269.61/35.75 X18 = X1).
% 269.61/35.75 cnf(a21, assumption,
% 269.61/35.75 X19 = X2).
% 269.61/35.75 cnf(c25, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(predicate_reduction, [assumptions([a19, a20, a21])], [c23, c24])).
% 269.61/35.75
% 269.61/35.75 cnf(c26, axiom,
% 269.61/35.75 sP4(X20,X21,X22) | ~greatest(X20,X21,X22)).
% 269.61/35.75 cnf(a22, assumption,
% 269.61/35.75 X15 = X20).
% 269.61/35.75 cnf(a23, assumption,
% 269.61/35.75 X13 = X21).
% 269.61/35.75 cnf(a24, assumption,
% 269.61/35.75 X16 = X22).
% 269.61/35.75 cnf(c27, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c22, c26])).
% 269.61/35.75 cnf(c28, plain,
% 269.61/35.75 ~greatest(X20,X21,X22),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c22, c26])).
% 269.61/35.75
% 269.61/35.75 cnf(c29, axiom,
% 269.61/35.75 greatest(sK28,sK26,sK27)).
% 269.61/35.75 cnf(a25, assumption,
% 269.61/35.75 X20 = sK28).
% 269.61/35.75 cnf(a26, assumption,
% 269.61/35.75 X21 = sK26).
% 269.61/35.75 cnf(a27, assumption,
% 269.61/35.75 X22 = sK27).
% 269.61/35.75 cnf(c30, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c28, c29])).
% 269.61/35.75 cnf(c31, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c28, c29])).
% 269.61/35.75
% 269.61/35.75 cnf(c32, axiom,
% 269.61/35.75 member(X23,X24) | ~sP4(X23,X25,X24)).
% 269.61/35.75 cnf(a28, assumption,
% 269.61/35.75 X7 = X23).
% 269.61/35.75 cnf(a29, assumption,
% 269.61/35.75 X9 = X24).
% 269.61/35.75 cnf(c33, plain,
% 269.61/35.75 ~member(X6,X9) | ~sP0(X8,X9),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a28, a29])], [c19, c32])).
% 269.61/35.75 cnf(c34, plain,
% 269.61/35.75 ~sP4(X23,X25,X24),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a28, a29])], [c19, c32])).
% 269.61/35.75
% 269.61/35.75 cnf(c35, plain,
% 269.61/35.75 sP4(X15,X13,X16)).
% 269.61/35.75 cnf(a30, assumption,
% 269.61/35.75 X23 = X15).
% 269.61/35.75 cnf(a31, assumption,
% 269.61/35.75 X25 = X13).
% 269.61/35.75 cnf(a32, assumption,
% 269.61/35.75 X24 = X16).
% 269.61/35.75 cnf(c36, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c34, c35])).
% 269.61/35.75
% 269.61/35.75 cnf(c37, plain,
% 269.61/35.75 member(X14,X16)).
% 269.61/35.75 cnf(a33, assumption,
% 269.61/35.75 X6 = X14).
% 269.61/35.75 cnf(a34, assumption,
% 269.61/35.75 X9 = X16).
% 269.61/35.75 cnf(c38, plain,
% 269.61/35.75 ~sP0(X8,X9),
% 269.61/35.75 inference(predicate_reduction, [assumptions([a33, a34])], [c33, c37])).
% 269.61/35.75
% 269.61/35.75 cnf(c39, axiom,
% 269.61/35.75 sP0(X26,X27) | ~sP2(X27,X26)).
% 269.61/35.75 cnf(a35, assumption,
% 269.61/35.75 X8 = X26).
% 269.61/35.75 cnf(a36, assumption,
% 269.61/35.75 X9 = X27).
% 269.61/35.75 cnf(c40, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a35, a36])], [c38, c39])).
% 269.61/35.75 cnf(c41, plain,
% 269.61/35.75 ~sP2(X27,X26),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a35, a36])], [c38, c39])).
% 269.61/35.75
% 269.61/35.75 cnf(c42, axiom,
% 269.61/35.75 sP2(X28,X29) | ~order(X29,X28)).
% 269.61/35.75 cnf(a37, assumption,
% 269.61/35.75 X27 = X28).
% 269.61/35.75 cnf(a38, assumption,
% 269.61/35.75 X26 = X29).
% 269.61/35.75 cnf(c43, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a37, a38])], [c41, c42])).
% 269.61/35.75 cnf(c44, plain,
% 269.61/35.75 ~order(X29,X28),
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a37, a38])], [c41, c42])).
% 269.61/35.75
% 269.61/35.75 cnf(c45, axiom,
% 269.61/35.75 order(sK26,sK27)).
% 269.61/35.75 cnf(a39, assumption,
% 269.61/35.75 X29 = sK26).
% 269.61/35.75 cnf(a40, assumption,
% 269.61/35.75 X28 = sK27).
% 269.61/35.75 cnf(c46, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a39, a40])], [c44, c45])).
% 269.61/35.75 cnf(c47, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(strict_predicate_extension, [assumptions([a39, a40])], [c44, c45])).
% 269.61/35.75
% 269.61/35.75 cnf(c48, plain,
% 269.61/35.75 member(X7,X9)).
% 269.61/35.75 cnf(a41, assumption,
% 269.61/35.75 X0 = X7).
% 269.61/35.75 cnf(a42, assumption,
% 269.61/35.75 X2 = X9).
% 269.61/35.75 cnf(c49, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(predicate_reduction, [assumptions([a41, a42])], [c6, c48])).
% 269.61/35.75
% 269.61/35.75 cnf(c50, plain,
% 269.61/35.75 $false,
% 269.61/35.75 inference(constraint_solving, [
% 269.61/35.75 bind(X0, sK28),
% 269.61/35.75 bind(X1, sK26),
% 269.61/35.75 bind(X2, sK27),
% 269.61/35.75 bind(X3, sK28),
% 269.61/35.75 bind(X4, sK26),
% 269.61/35.75 bind(X5, sK27),
% 269.61/35.75 bind(X6, sK22(X3,X4,X5)),
% 269.61/35.75 bind(X7, sK28),
% 269.61/35.75 bind(X8, sK26),
% 269.61/35.75 bind(X9, sK27),
% 269.61/35.75 bind(X10, sK28),
% 269.61/35.75 bind(X11, sK26),
% 269.61/35.75 bind(X12, sK27),
% 269.61/35.75 bind(X13, sK26),
% 269.61/35.75 bind(X14, sK22(X3,X4,X5)),
% 269.61/35.75 bind(X15, sK28),
% 269.61/35.75 bind(X16, sK27),
% 269.61/35.75 bind(X17, sK28),
% 269.61/35.75 bind(X18, sK26),
% 269.61/35.75 bind(X19, sK27),
% 269.61/35.75 bind(X20, sK28),
% 269.61/35.75 bind(X21, sK26),
% 269.61/35.75 bind(X22, sK27),
% 269.61/35.75 bind(X23, sK28),
% 269.61/35.75 bind(X24, sK27),
% 269.61/35.75 bind(X25, sK26),
% 269.61/35.75 bind(X26, sK26),
% 269.61/35.75 bind(X27, sK27),
% 269.61/35.75 bind(X28, sK27),
% 269.61/35.75 bind(X29, sK26)
% 269.61/35.75 ],
% 269.61/35.75 [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])).
% 269.61/35.75
% 269.61/35.75 % SZS output end IncompleteProof
%------------------------------------------------------------------------------