TSTP Solution File: SET792+4 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET792+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 : n014.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 229.24s 32.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 05:28:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 229.24/32.42 % SZS status Theorem
% 229.24/32.42 % SZS output begin IncompleteProof
% 229.24/32.42 cnf(c0, axiom,
% 229.24/32.42 least(sK28,sK26,sK27)).
% 229.24/32.42 cnf(c1, plain,
% 229.24/32.42 least(sK28,sK26,sK27),
% 229.24/32.42 inference(start, [], [c0])).
% 229.24/32.42
% 229.24/32.42 cnf(c2, axiom,
% 229.24/32.42 sP5(X0,X1,X2) | ~least(X0,X1,X2)).
% 229.24/32.42 cnf(a0, assumption,
% 229.24/32.42 sK28 = X0).
% 229.24/32.42 cnf(a1, assumption,
% 229.24/32.42 sK26 = X1).
% 229.24/32.42 cnf(a2, assumption,
% 229.24/32.42 sK27 = X2).
% 229.24/32.42 cnf(c3, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 229.24/32.42 cnf(c4, plain,
% 229.24/32.42 sP5(X0,X1,X2),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 229.24/32.42
% 229.24/32.42 cnf(c5, axiom,
% 229.24/32.42 member(X3,X4) | ~sP5(X3,X5,X4)).
% 229.24/32.42 cnf(a3, assumption,
% 229.24/32.42 X0 = X3).
% 229.24/32.42 cnf(a4, assumption,
% 229.24/32.42 X1 = X5).
% 229.24/32.42 cnf(a5, assumption,
% 229.24/32.42 X2 = X4).
% 229.24/32.42 cnf(c6, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 229.24/32.42 cnf(c7, plain,
% 229.24/32.42 member(X3,X4),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 229.24/32.42
% 229.24/32.42 cnf(c8, axiom,
% 229.24/32.42 min(X6,X7,X8) | ~sP7(X6,X7,X8) | ~member(X6,X8)).
% 229.24/32.42 cnf(a6, assumption,
% 229.24/32.42 X3 = X6).
% 229.24/32.42 cnf(a7, assumption,
% 229.24/32.42 X4 = X8).
% 229.24/32.42 cnf(c9, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])).
% 229.24/32.42 cnf(c10, plain,
% 229.24/32.42 min(X6,X7,X8) | ~sP7(X6,X7,X8),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])).
% 229.24/32.42
% 229.24/32.42 cnf(c11, axiom,
% 229.24/32.42 ~min(sK28,sK26,sK27)).
% 229.24/32.42 cnf(a8, assumption,
% 229.24/32.42 X6 = sK28).
% 229.24/32.42 cnf(a9, assumption,
% 229.24/32.42 X7 = sK26).
% 229.24/32.42 cnf(a10, assumption,
% 229.24/32.42 X8 = sK27).
% 229.24/32.42 cnf(c12, plain,
% 229.24/32.42 ~sP7(X6,X7,X8),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])).
% 229.24/32.42 cnf(c13, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])).
% 229.24/32.42
% 229.24/32.42 cnf(c14, axiom,
% 229.24/32.42 sP7(X9,X10,X11) | apply(X10,sK23(X9,X10,X11),X9)).
% 229.24/32.42 cnf(a11, assumption,
% 229.24/32.42 X6 = X9).
% 229.24/32.42 cnf(a12, assumption,
% 229.24/32.42 X7 = X10).
% 229.24/32.42 cnf(a13, assumption,
% 229.24/32.42 X8 = X11).
% 229.24/32.42 cnf(c15, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c12, c14])).
% 229.24/32.42 cnf(c16, plain,
% 229.24/32.42 apply(X10,sK23(X9,X10,X11),X9),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c12, c14])).
% 229.24/32.42
% 229.24/32.42 cnf(c17, axiom,
% 229.24/32.42 X12 = X13 | ~apply(X14,X13,X12) | ~apply(X14,X12,X13) | ~member(X13,X15) | ~member(X12,X15) | ~sP0(X14,X15)).
% 229.24/32.42 cnf(a14, assumption,
% 229.24/32.42 X10 = X14).
% 229.24/32.42 cnf(a15, assumption,
% 229.24/32.42 sK23(X9,X10,X11) = X13).
% 229.24/32.42 cnf(a16, assumption,
% 229.24/32.42 X9 = X12).
% 229.24/32.42 cnf(c18, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c16, c17])).
% 229.24/32.42 cnf(c19, plain,
% 229.24/32.42 X12 = X13 | ~apply(X14,X12,X13) | ~member(X13,X15) | ~member(X12,X15) | ~sP0(X14,X15),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c16, c17])).
% 229.24/32.42
% 229.24/32.42 cnf(c20, axiom,
% 229.24/32.42 sP7(X16,X17,X18) | sK23(X16,X17,X18) != X16).
% 229.24/32.42 cnf(a17, assumption,
% 229.24/32.42 sK23(X16,X17,X18) = X13).
% 229.24/32.42 cnf(c21, plain,
% 229.24/32.42 ~apply(X14,X12,X13) | ~member(X13,X15) | ~member(X12,X15) | ~sP0(X14,X15),
% 229.24/32.42 inference(strict_subterm_extension, [assumptions([a17])], [c19, c20])).
% 229.24/32.42 cnf(c22, plain,
% 229.24/32.42 sP7(X16,X17,X18),
% 229.24/32.42 inference(strict_subterm_extension, [assumptions([a17])], [c19, c20])).
% 229.24/32.42 cnf(c23, plain,
% 229.24/32.42 X12 != X16,
% 229.24/32.42 inference(strict_subterm_extension, [assumptions([a17])], [c19, c20])).
% 229.24/32.42
% 229.24/32.42 cnf(a18, assumption,
% 229.24/32.42 X12 = X16).
% 229.24/32.42 cnf(c24, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(reflexivity, [assumptions([a18])], [c23])).
% 229.24/32.42
% 229.24/32.42 cnf(c25, plain,
% 229.24/32.42 ~sP7(X6,X7,X8)).
% 229.24/32.42 cnf(a19, assumption,
% 229.24/32.42 X16 = X6).
% 229.24/32.42 cnf(a20, assumption,
% 229.24/32.42 X17 = X7).
% 229.24/32.42 cnf(a21, assumption,
% 229.24/32.42 X18 = X8).
% 229.24/32.42 cnf(c26, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(predicate_reduction, [assumptions([a19, a20, a21])], [c22, c25])).
% 229.24/32.42
% 229.24/32.42 cnf(c27, axiom,
% 229.24/32.42 apply(X19,X20,X21) | ~member(X21,X22) | ~sP5(X20,X19,X22)).
% 229.24/32.42 cnf(a22, assumption,
% 229.24/32.42 X14 = X19).
% 229.24/32.42 cnf(a23, assumption,
% 229.24/32.42 X12 = X20).
% 229.24/32.42 cnf(a24, assumption,
% 229.24/32.42 X13 = X21).
% 229.24/32.42 cnf(c28, plain,
% 229.24/32.42 ~member(X13,X15) | ~member(X12,X15) | ~sP0(X14,X15),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c21, c27])).
% 229.24/32.42 cnf(c29, plain,
% 229.24/32.42 ~member(X21,X22) | ~sP5(X20,X19,X22),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c21, c27])).
% 229.24/32.42
% 229.24/32.42 cnf(c30, axiom,
% 229.24/32.42 sP7(X23,X24,X25) | member(sK23(X23,X24,X25),X25)).
% 229.24/32.42 cnf(a25, assumption,
% 229.24/32.42 X21 = sK23(X23,X24,X25)).
% 229.24/32.42 cnf(a26, assumption,
% 229.24/32.42 X22 = X25).
% 229.24/32.42 cnf(c31, plain,
% 229.24/32.42 ~sP5(X20,X19,X22),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a25, a26])], [c29, c30])).
% 229.24/32.42 cnf(c32, plain,
% 229.24/32.42 sP7(X23,X24,X25),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a25, a26])], [c29, c30])).
% 229.24/32.42
% 229.24/32.42 cnf(c33, plain,
% 229.24/32.42 ~sP7(X6,X7,X8)).
% 229.24/32.42 cnf(a27, assumption,
% 229.24/32.42 X23 = X6).
% 229.24/32.42 cnf(a28, assumption,
% 229.24/32.42 X24 = X7).
% 229.24/32.42 cnf(a29, assumption,
% 229.24/32.42 X25 = X8).
% 229.24/32.42 cnf(c34, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(predicate_reduction, [assumptions([a27, a28, a29])], [c32, c33])).
% 229.24/32.42
% 229.24/32.42 cnf(c35, plain,
% 229.24/32.42 sP5(X0,X1,X2)).
% 229.24/32.42 cnf(a30, assumption,
% 229.24/32.42 X20 = X0).
% 229.24/32.42 cnf(a31, assumption,
% 229.24/32.42 X19 = X1).
% 229.24/32.42 cnf(a32, assumption,
% 229.24/32.42 X22 = X2).
% 229.24/32.42 cnf(c36, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c31, c35])).
% 229.24/32.42
% 229.24/32.42 cnf(c37, plain,
% 229.24/32.42 member(X21,X22)).
% 229.24/32.42 cnf(a33, assumption,
% 229.24/32.42 X13 = X21).
% 229.24/32.42 cnf(a34, assumption,
% 229.24/32.42 X15 = X22).
% 229.24/32.42 cnf(c38, plain,
% 229.24/32.42 ~member(X12,X15) | ~sP0(X14,X15),
% 229.24/32.42 inference(predicate_reduction, [assumptions([a33, a34])], [c28, c37])).
% 229.24/32.42
% 229.24/32.42 cnf(c39, plain,
% 229.24/32.42 member(X3,X4)).
% 229.24/32.42 cnf(a35, assumption,
% 229.24/32.42 X12 = X3).
% 229.24/32.42 cnf(a36, assumption,
% 229.24/32.42 X15 = X4).
% 229.24/32.42 cnf(c40, plain,
% 229.24/32.42 ~sP0(X14,X15),
% 229.24/32.42 inference(predicate_reduction, [assumptions([a35, a36])], [c38, c39])).
% 229.24/32.42
% 229.24/32.42 cnf(c41, axiom,
% 229.24/32.42 sP0(X26,X27) | ~sP2(X27,X26)).
% 229.24/32.42 cnf(a37, assumption,
% 229.24/32.42 X14 = X26).
% 229.24/32.42 cnf(a38, assumption,
% 229.24/32.42 X15 = X27).
% 229.24/32.42 cnf(c42, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a37, a38])], [c40, c41])).
% 229.24/32.42 cnf(c43, plain,
% 229.24/32.42 ~sP2(X27,X26),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a37, a38])], [c40, c41])).
% 229.24/32.42
% 229.24/32.42 cnf(c44, axiom,
% 229.24/32.42 sP2(X28,X29) | ~order(X29,X28)).
% 229.24/32.42 cnf(a39, assumption,
% 229.24/32.42 X27 = X28).
% 229.24/32.42 cnf(a40, assumption,
% 229.24/32.42 X26 = X29).
% 229.24/32.42 cnf(c45, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a39, a40])], [c43, c44])).
% 229.24/32.42 cnf(c46, plain,
% 229.24/32.42 ~order(X29,X28),
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a39, a40])], [c43, c44])).
% 229.24/32.42
% 229.24/32.42 cnf(c47, axiom,
% 229.24/32.42 order(sK26,sK27)).
% 229.24/32.42 cnf(a41, assumption,
% 229.24/32.42 X29 = sK26).
% 229.24/32.42 cnf(a42, assumption,
% 229.24/32.42 X28 = sK27).
% 229.24/32.42 cnf(c48, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a41, a42])], [c46, c47])).
% 229.24/32.42 cnf(c49, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(strict_predicate_extension, [assumptions([a41, a42])], [c46, c47])).
% 229.24/32.42
% 229.24/32.42 cnf(c50, plain,
% 229.24/32.42 $false,
% 229.24/32.42 inference(constraint_solving, [
% 229.24/32.42 bind(X0, sK28),
% 229.24/32.42 bind(X1, sK26),
% 229.24/32.42 bind(X2, sK27),
% 229.24/32.42 bind(X3, sK28),
% 229.24/32.42 bind(X4, sK27),
% 229.24/32.42 bind(X5, sK26),
% 229.24/32.42 bind(X6, sK28),
% 229.24/32.42 bind(X7, sK26),
% 229.24/32.42 bind(X8, sK27),
% 229.24/32.42 bind(X9, sK28),
% 229.24/32.42 bind(X10, sK26),
% 229.24/32.42 bind(X11, sK27),
% 229.24/32.42 bind(X12, sK28),
% 229.24/32.42 bind(X13, sK23(X9,X10,X11)),
% 229.24/32.42 bind(X14, sK26),
% 229.24/32.42 bind(X15, sK27),
% 229.24/32.42 bind(X16, sK28),
% 229.24/32.42 bind(X17, sK26),
% 229.24/32.42 bind(X18, sK27),
% 229.24/32.42 bind(X19, sK26),
% 229.24/32.42 bind(X20, sK28),
% 229.24/32.42 bind(X21, sK23(X9,X10,X11)),
% 229.24/32.42 bind(X22, sK27),
% 229.24/32.42 bind(X23, sK28),
% 229.24/32.42 bind(X24, sK26),
% 229.24/32.42 bind(X25, sK27),
% 229.24/32.42 bind(X26, sK26),
% 229.24/32.42 bind(X27, sK27),
% 229.24/32.42 bind(X28, sK27),
% 229.24/32.42 bind(X29, sK26)
% 229.24/32.42 ],
% 229.24/32.42 [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])).
% 229.24/32.42
% 229.24/32.42 % SZS output end IncompleteProof
%------------------------------------------------------------------------------