TSTP Solution File: SET047-5 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET047-5 : 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 : n006.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 02:43:00 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 00:39:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.52 % SZS status Unsatisfiable
% 0.21/0.52 % SZS output begin IncompleteProof
% 0.21/0.52 cnf(c0, axiom,
% 0.21/0.52 set_equal(b,a) | set_equal(a,b)).
% 0.21/0.52 cnf(c1, plain,
% 0.21/0.52 set_equal(b,a) | set_equal(a,b),
% 0.21/0.52 inference(start, [], [c0])).
% 0.21/0.52
% 0.21/0.52 cnf(c2, axiom,
% 0.21/0.52 ~set_equal(a,b) | ~set_equal(b,a)).
% 0.21/0.52 cnf(a0, assumption,
% 0.21/0.52 b = b).
% 0.21/0.52 cnf(a1, assumption,
% 0.21/0.52 a = a).
% 0.21/0.52 cnf(c3, plain,
% 0.21/0.52 set_equal(a,b),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.21/0.52 cnf(c4, plain,
% 0.21/0.52 ~set_equal(a,b),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.21/0.52
% 0.21/0.52 cnf(c5, axiom,
% 0.21/0.52 set_equal(X0,X1) | ~element(f(X0,X1),X0) | ~element(f(X0,X1),X1)).
% 0.21/0.52 cnf(a2, assumption,
% 0.21/0.52 a = X0).
% 0.21/0.52 cnf(a3, assumption,
% 0.21/0.52 b = X1).
% 0.21/0.52 cnf(c6, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.21/0.52 cnf(c7, plain,
% 0.21/0.52 ~element(f(X0,X1),X0) | ~element(f(X0,X1),X1),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.21/0.52
% 0.21/0.52 cnf(c8, axiom,
% 0.21/0.52 element(X2,X3) | ~element(X2,X4) | ~set_equal(X4,X3)).
% 0.21/0.52 cnf(a4, assumption,
% 0.21/0.52 f(X0,X1) = X2).
% 0.21/0.52 cnf(a5, assumption,
% 0.21/0.52 X0 = X3).
% 0.21/0.52 cnf(c9, plain,
% 0.21/0.52 ~element(f(X0,X1),X1),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.21/0.52 cnf(c10, plain,
% 0.21/0.52 ~element(X2,X4) | ~set_equal(X4,X3),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.21/0.52
% 0.21/0.52 cnf(c11, axiom,
% 0.21/0.52 set_equal(X5,X6) | element(f(X5,X6),X6) | element(f(X5,X6),X5)).
% 0.21/0.52 cnf(a6, assumption,
% 0.21/0.52 X2 = f(X5,X6)).
% 0.21/0.52 cnf(a7, assumption,
% 0.21/0.52 X4 = X6).
% 0.21/0.52 cnf(c12, plain,
% 0.21/0.52 ~set_equal(X4,X3),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.21/0.52 cnf(c13, plain,
% 0.21/0.52 set_equal(X5,X6) | element(f(X5,X6),X5),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.21/0.52
% 0.21/0.52 cnf(c14, plain,
% 0.21/0.52 ~set_equal(a,b)).
% 0.21/0.52 cnf(a8, assumption,
% 0.21/0.52 X5 = a).
% 0.21/0.52 cnf(a9, assumption,
% 0.21/0.52 X6 = b).
% 0.21/0.52 cnf(c15, plain,
% 0.21/0.52 element(f(X5,X6),X5),
% 0.21/0.52 inference(predicate_reduction, [assumptions([a8, a9])], [c13, c14])).
% 0.21/0.52
% 0.21/0.52 cnf(c16, plain,
% 0.21/0.52 ~element(f(X0,X1),X0)).
% 0.21/0.52 cnf(a10, assumption,
% 0.21/0.52 f(X5,X6) = f(X0,X1)).
% 0.21/0.52 cnf(a11, assumption,
% 0.21/0.52 X5 = X0).
% 0.21/0.52 cnf(c17, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(predicate_reduction, [assumptions([a10, a11])], [c15, c16])).
% 0.21/0.52
% 0.21/0.52 cnf(c18, plain,
% 0.21/0.52 set_equal(b,a)).
% 0.21/0.52 cnf(a12, assumption,
% 0.21/0.52 X4 = b).
% 0.21/0.52 cnf(a13, assumption,
% 0.21/0.52 X3 = a).
% 0.21/0.52 cnf(c19, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(predicate_reduction, [assumptions([a12, a13])], [c12, c18])).
% 0.21/0.52
% 0.21/0.52 cnf(c20, axiom,
% 0.21/0.52 element(X7,X8) | ~element(X7,X9) | ~set_equal(X8,X9)).
% 0.21/0.52 cnf(a14, assumption,
% 0.21/0.52 f(X0,X1) = X7).
% 0.21/0.52 cnf(a15, assumption,
% 0.21/0.52 X1 = X8).
% 0.21/0.52 cnf(c21, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a14, a15])], [c9, c20])).
% 0.21/0.52 cnf(c22, plain,
% 0.21/0.52 ~element(X7,X9) | ~set_equal(X8,X9),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a14, a15])], [c9, c20])).
% 0.21/0.52
% 0.21/0.52 cnf(c23, plain,
% 0.21/0.52 element(f(X0,X1),X0)).
% 0.21/0.52 cnf(a16, assumption,
% 0.21/0.52 X7 = f(X0,X1)).
% 0.21/0.52 cnf(a17, assumption,
% 0.21/0.52 X9 = X0).
% 0.21/0.52 cnf(c24, plain,
% 0.21/0.52 ~set_equal(X8,X9),
% 0.21/0.52 inference(predicate_reduction, [assumptions([a16, a17])], [c22, c23])).
% 0.21/0.52
% 0.21/0.52 cnf(c25, plain,
% 0.21/0.52 set_equal(b,a)).
% 0.21/0.52 cnf(a18, assumption,
% 0.21/0.52 X8 = b).
% 0.21/0.52 cnf(a19, assumption,
% 0.21/0.52 X9 = a).
% 0.21/0.52 cnf(c26, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(predicate_reduction, [assumptions([a18, a19])], [c24, c25])).
% 0.21/0.52
% 0.21/0.52 cnf(c27, axiom,
% 0.21/0.52 element(X10,X11) | ~element(X10,X12) | ~set_equal(X11,X12)).
% 0.21/0.52 cnf(a20, assumption,
% 0.21/0.52 a = X11).
% 0.21/0.52 cnf(a21, assumption,
% 0.21/0.52 b = X12).
% 0.21/0.52 cnf(c28, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a20, a21])], [c3, c27])).
% 0.21/0.52 cnf(c29, plain,
% 0.21/0.52 element(X10,X11) | ~element(X10,X12),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a20, a21])], [c3, c27])).
% 0.21/0.52
% 0.21/0.52 cnf(c30, axiom,
% 0.21/0.52 set_equal(X13,X14) | ~element(f(X13,X14),X13) | ~element(f(X13,X14),X14)).
% 0.21/0.52 cnf(a22, assumption,
% 0.21/0.52 X10 = f(X13,X14)).
% 0.21/0.52 cnf(a23, assumption,
% 0.21/0.52 X11 = X14).
% 0.21/0.52 cnf(c31, plain,
% 0.21/0.52 ~element(X10,X12),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a22, a23])], [c29, c30])).
% 0.21/0.52 cnf(c32, plain,
% 0.21/0.52 set_equal(X13,X14) | ~element(f(X13,X14),X13),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a22, a23])], [c29, c30])).
% 0.21/0.52
% 0.21/0.52 cnf(c33, plain,
% 0.21/0.52 ~set_equal(b,a)).
% 0.21/0.52 cnf(a24, assumption,
% 0.21/0.52 X13 = b).
% 0.21/0.52 cnf(a25, assumption,
% 0.21/0.52 X14 = a).
% 0.21/0.52 cnf(c34, plain,
% 0.21/0.52 ~element(f(X13,X14),X13),
% 0.21/0.52 inference(predicate_reduction, [assumptions([a24, a25])], [c32, c33])).
% 0.21/0.52
% 0.21/0.52 cnf(c35, axiom,
% 0.21/0.52 element(X15,X16) | ~element(X15,X17) | ~set_equal(X17,X16)).
% 0.21/0.52 cnf(a26, assumption,
% 0.21/0.52 f(X13,X14) = X15).
% 0.21/0.52 cnf(a27, assumption,
% 0.21/0.52 X13 = X16).
% 0.21/0.52 cnf(c36, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a26, a27])], [c34, c35])).
% 0.21/0.52 cnf(c37, plain,
% 0.21/0.52 ~element(X15,X17) | ~set_equal(X17,X16),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a26, a27])], [c34, c35])).
% 0.21/0.52
% 0.21/0.52 cnf(c38, plain,
% 0.21/0.52 element(X10,X11)).
% 0.21/0.52 cnf(a28, assumption,
% 0.21/0.52 X15 = X10).
% 0.21/0.52 cnf(a29, assumption,
% 0.21/0.52 X17 = X11).
% 0.21/0.52 cnf(c39, plain,
% 0.21/0.52 ~set_equal(X17,X16),
% 0.21/0.52 inference(predicate_reduction, [assumptions([a28, a29])], [c37, c38])).
% 0.21/0.52
% 0.21/0.52 cnf(c40, plain,
% 0.21/0.52 set_equal(a,b)).
% 0.21/0.52 cnf(a30, assumption,
% 0.21/0.52 X17 = a).
% 0.21/0.52 cnf(a31, assumption,
% 0.21/0.52 X16 = b).
% 0.21/0.52 cnf(c41, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(predicate_reduction, [assumptions([a30, a31])], [c39, c40])).
% 0.21/0.52
% 0.21/0.52 cnf(c42, axiom,
% 0.21/0.52 set_equal(X18,X19) | element(f(X18,X19),X19) | element(f(X18,X19),X18)).
% 0.21/0.52 cnf(a32, assumption,
% 0.21/0.52 X10 = f(X18,X19)).
% 0.21/0.52 cnf(a33, assumption,
% 0.21/0.52 X12 = X18).
% 0.21/0.52 cnf(c43, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a32, a33])], [c31, c42])).
% 0.21/0.52 cnf(c44, plain,
% 0.21/0.52 set_equal(X18,X19) | element(f(X18,X19),X19),
% 0.21/0.52 inference(strict_predicate_extension, [assumptions([a32, a33])], [c31, c42])).
% 0.21/0.52
% 0.21/0.52 cnf(c45, plain,
% 0.21/0.52 ~set_equal(b,a)).
% 0.21/0.52 cnf(a34, assumption,
% 0.21/0.52 X18 = b).
% 0.21/0.52 cnf(a35, assumption,
% 0.21/0.52 X19 = a).
% 0.21/0.52 cnf(c46, plain,
% 0.21/0.52 element(f(X18,X19),X19),
% 0.21/0.52 inference(predicate_reduction, [assumptions([a34, a35])], [c44, c45])).
% 0.21/0.52
% 0.21/0.52 cnf(c47, plain,
% 0.21/0.52 ~element(X10,X11)).
% 0.21/0.52 cnf(a36, assumption,
% 0.21/0.52 f(X18,X19) = X10).
% 0.21/0.52 cnf(a37, assumption,
% 0.21/0.52 X19 = X11).
% 0.21/0.52 cnf(c48, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(predicate_reduction, [assumptions([a36, a37])], [c46, c47])).
% 0.21/0.52
% 0.21/0.52 cnf(c49, plain,
% 0.21/0.52 $false,
% 0.21/0.52 inference(constraint_solving, [
% 0.21/0.52 bind(X0, a),
% 0.21/0.52 bind(X1, b),
% 0.21/0.52 bind(X2, f(X0,X1)),
% 0.21/0.52 bind(X3, a),
% 0.21/0.52 bind(X4, b),
% 0.21/0.52 bind(X5, a),
% 0.21/0.52 bind(X6, b),
% 0.21/0.52 bind(X7, f(X0,X1)),
% 0.21/0.52 bind(X8, b),
% 0.21/0.52 bind(X9, a),
% 0.21/0.52 bind(X10, f(X13,X14)),
% 0.21/0.52 bind(X11, a),
% 0.21/0.52 bind(X12, b),
% 0.21/0.52 bind(X13, b),
% 0.21/0.52 bind(X14, a),
% 0.21/0.52 bind(X15, f(X13,X14)),
% 0.21/0.52 bind(X16, b),
% 0.21/0.52 bind(X17, a),
% 0.21/0.52 bind(X18, b),
% 0.21/0.52 bind(X19, a)
% 0.21/0.52 ],
% 0.21/0.52 [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])).
% 0.21/0.52
% 0.21/0.52 % SZS output end IncompleteProof
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