TSTP Solution File: CAT010-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : CAT010-1 : 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 : n021.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 : Fri Jul 15 00:03:27 EDT 2022
% Result : Unsatisfiable 6.83s 1.29s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT010-1 : 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
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun May 29 16:39:43 EDT 2022
% 0.14/0.34 % CPUTime :
% 6.83/1.29 % SZS status Unsatisfiable
% 6.83/1.29 % SZS output begin IncompleteProof
% 6.83/1.29 cnf(c0, axiom,
% 6.83/1.29 codomain(compose(b,a)) != codomain(b)).
% 6.83/1.29 cnf(c1, plain,
% 6.83/1.29 codomain(compose(b,a)) != codomain(b),
% 6.83/1.29 inference(start, [], [c0])).
% 6.83/1.29
% 6.83/1.29 cnf(c2, axiom,
% 6.83/1.29 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)).
% 6.83/1.29 cnf(a0, assumption,
% 6.83/1.29 codomain(compose(b,a)) = X0).
% 6.83/1.29 cnf(c3, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 6.83/1.29 cnf(c4, plain,
% 6.83/1.29 ~product(X2,X3,X1) | ~product(X2,X3,X0),
% 6.83/1.29 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 6.83/1.29 cnf(c5, plain,
% 6.83/1.29 X1 != X4 | X4 != codomain(b),
% 6.83/1.29 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 6.83/1.29
% 6.83/1.29 cnf(a1, assumption,
% 6.83/1.29 X1 = X4).
% 6.83/1.29 cnf(c6, plain,
% 6.83/1.29 X4 != codomain(b),
% 6.83/1.29 inference(reflexivity, [assumptions([a1])], [c5])).
% 6.83/1.29
% 6.83/1.29 cnf(a2, assumption,
% 6.83/1.29 X4 = codomain(b)).
% 6.83/1.29 cnf(c7, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(reflexivity, [assumptions([a2])], [c6])).
% 6.83/1.29
% 6.83/1.29 cnf(c8, axiom,
% 6.83/1.29 product(X5,X6,X6) | ~identity_map(X5) | ~defined(X5,X6)).
% 6.83/1.29 cnf(a3, assumption,
% 6.83/1.29 X2 = X5).
% 6.83/1.29 cnf(a4, assumption,
% 6.83/1.29 X3 = X6).
% 6.83/1.29 cnf(a5, assumption,
% 6.83/1.29 X1 = X6).
% 6.83/1.29 cnf(c9, plain,
% 6.83/1.29 ~product(X2,X3,X0),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 6.83/1.29 cnf(c10, plain,
% 6.83/1.29 ~identity_map(X5) | ~defined(X5,X6),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 6.83/1.29
% 6.83/1.29 cnf(c11, axiom,
% 6.83/1.29 identity_map(codomain(X7))).
% 6.83/1.29 cnf(a6, assumption,
% 6.83/1.29 X5 = codomain(X7)).
% 6.83/1.29 cnf(c12, plain,
% 6.83/1.29 ~defined(X5,X6),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])).
% 6.83/1.29 cnf(c13, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])).
% 6.83/1.29
% 6.83/1.29 cnf(c14, axiom,
% 6.83/1.29 defined(X8,X9) | ~defined(X8,X10) | ~product(X9,X11,X10)).
% 6.83/1.29 cnf(a7, assumption,
% 6.83/1.29 X5 = X8).
% 6.83/1.29 cnf(a8, assumption,
% 6.83/1.29 X6 = X9).
% 6.83/1.29 cnf(c15, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 6.83/1.29 cnf(c16, plain,
% 6.83/1.29 ~defined(X8,X10) | ~product(X9,X11,X10),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 6.83/1.29
% 6.83/1.29 cnf(c17, axiom,
% 6.83/1.29 defined(X12,X13) | ~defined(X12,X14) | ~product(X13,X15,X14)).
% 6.83/1.29 cnf(a9, assumption,
% 6.83/1.29 X8 = X12).
% 6.83/1.29 cnf(a10, assumption,
% 6.83/1.29 X10 = X13).
% 6.83/1.29 cnf(c18, plain,
% 6.83/1.29 ~product(X9,X11,X10),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 6.83/1.29 cnf(c19, plain,
% 6.83/1.29 ~defined(X12,X14) | ~product(X13,X15,X14),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 6.83/1.29
% 6.83/1.29 cnf(c20, axiom,
% 6.83/1.29 defined(codomain(X16),X16)).
% 6.83/1.29 cnf(a11, assumption,
% 6.83/1.29 X12 = codomain(X16)).
% 6.83/1.29 cnf(a12, assumption,
% 6.83/1.29 X14 = X16).
% 6.83/1.29 cnf(c21, plain,
% 6.83/1.29 ~product(X13,X15,X14),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a11, a12])], [c19, c20])).
% 6.83/1.29 cnf(c22, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a11, a12])], [c19, c20])).
% 6.83/1.29
% 6.83/1.29 cnf(c23, axiom,
% 6.83/1.29 product(X17,X18,compose(X17,X18)) | ~defined(X17,X18)).
% 6.83/1.29 cnf(a13, assumption,
% 6.83/1.29 X13 = X17).
% 6.83/1.29 cnf(a14, assumption,
% 6.83/1.29 X15 = X18).
% 6.83/1.29 cnf(a15, assumption,
% 6.83/1.29 X14 = compose(X17,X18)).
% 6.83/1.29 cnf(c24, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c23])).
% 6.83/1.29 cnf(c25, plain,
% 6.83/1.29 ~defined(X17,X18),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c23])).
% 6.83/1.29
% 6.83/1.29 cnf(c26, axiom,
% 6.83/1.29 defined(b,a)).
% 6.83/1.29 cnf(a16, assumption,
% 6.83/1.29 X17 = b).
% 6.83/1.29 cnf(a17, assumption,
% 6.83/1.29 X18 = a).
% 6.83/1.29 cnf(c27, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])).
% 6.83/1.29 cnf(c28, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])).
% 6.83/1.29
% 6.83/1.29 cnf(c29, axiom,
% 6.83/1.29 product(codomain(X19),X19,X19)).
% 6.83/1.29 cnf(a18, assumption,
% 6.83/1.29 X9 = codomain(X19)).
% 6.83/1.29 cnf(a19, assumption,
% 6.83/1.29 X11 = X19).
% 6.83/1.29 cnf(a20, assumption,
% 6.83/1.29 X10 = X19).
% 6.83/1.29 cnf(c30, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c29])).
% 6.83/1.29 cnf(c31, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c29])).
% 6.83/1.29
% 6.83/1.29 cnf(c32, axiom,
% 6.83/1.29 product(X20,X21,X20) | ~identity_map(X21) | ~defined(X20,X21)).
% 6.83/1.29 cnf(a21, assumption,
% 6.83/1.29 X2 = X20).
% 6.83/1.29 cnf(a22, assumption,
% 6.83/1.29 X3 = X21).
% 6.83/1.29 cnf(a23, assumption,
% 6.83/1.29 X0 = X20).
% 6.83/1.29 cnf(c33, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c9, c32])).
% 6.83/1.29 cnf(c34, plain,
% 6.83/1.29 ~identity_map(X21) | ~defined(X20,X21),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c9, c32])).
% 6.83/1.29
% 6.83/1.29 cnf(c35, axiom,
% 6.83/1.29 identity_map(codomain(X22))).
% 6.83/1.29 cnf(a24, assumption,
% 6.83/1.29 X21 = codomain(X22)).
% 6.83/1.29 cnf(c36, plain,
% 6.83/1.29 ~defined(X20,X21),
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a24])], [c34, c35])).
% 6.83/1.29 cnf(c37, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(strict_predicate_extension, [assumptions([a24])], [c34, c35])).
% 6.83/1.29
% 6.83/1.29 cnf(c38, plain,
% 6.83/1.29 defined(X5,X6)).
% 6.83/1.29 cnf(a25, assumption,
% 6.83/1.29 X20 = X5).
% 6.83/1.29 cnf(a26, assumption,
% 6.83/1.29 X21 = X6).
% 6.83/1.29 cnf(c39, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(predicate_reduction, [assumptions([a25, a26])], [c36, c38])).
% 6.83/1.29
% 6.83/1.29 cnf(c40, plain,
% 6.83/1.29 $false,
% 6.83/1.29 inference(constraint_solving, [
% 6.83/1.29 bind(X0, codomain(compose(b,a))),
% 6.83/1.29 bind(X1, codomain(b)),
% 6.83/1.29 bind(X2, codomain(X7)),
% 6.83/1.29 bind(X3, codomain(b)),
% 6.83/1.29 bind(X4, codomain(b)),
% 6.83/1.29 bind(X5, codomain(X7)),
% 6.83/1.29 bind(X6, codomain(b)),
% 6.83/1.29 bind(X7, compose(X17,X18)),
% 6.83/1.29 bind(X8, codomain(X7)),
% 6.83/1.29 bind(X9, codomain(b)),
% 6.83/1.29 bind(X10, b),
% 6.83/1.29 bind(X11, b),
% 6.83/1.29 bind(X12, codomain(X7)),
% 6.83/1.29 bind(X13, b),
% 6.83/1.29 bind(X14, compose(X17,X18)),
% 6.83/1.29 bind(X15, a),
% 6.83/1.29 bind(X16, compose(X17,X18)),
% 6.83/1.29 bind(X17, b),
% 6.83/1.29 bind(X18, a),
% 6.83/1.29 bind(X19, b),
% 6.83/1.29 bind(X20, codomain(X7)),
% 6.83/1.29 bind(X21, codomain(b)),
% 6.83/1.29 bind(X22, b)
% 6.83/1.29 ],
% 6.83/1.29 [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])).
% 6.83/1.29
% 6.83/1.29 % SZS output end IncompleteProof
%------------------------------------------------------------------------------