TSTP Solution File: CAT008-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : CAT008-1 : 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 : n029.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 0.19s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n029.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
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 600
% 0.19/0.34 % DateTime : Sun May 29 20:30:28 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.51 % SZS status Unsatisfiable
% 0.19/0.51 % SZS output begin IncompleteProof
% 0.19/0.51 cnf(c0, axiom,
% 0.19/0.51 domain(a) != codomain(b)).
% 0.19/0.51 cnf(c1, plain,
% 0.19/0.51 domain(a) != codomain(b),
% 0.19/0.51 inference(start, [], [c0])).
% 0.19/0.51
% 0.19/0.51 cnf(c2, axiom,
% 0.19/0.51 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)).
% 0.19/0.51 cnf(a0, assumption,
% 0.19/0.51 codomain(b) = X1).
% 0.19/0.51 cnf(c3, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.51 cnf(c4, plain,
% 0.19/0.51 ~product(X2,X3,X1) | ~product(X2,X3,X0),
% 0.19/0.51 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.51 cnf(c5, plain,
% 0.19/0.51 X0 != X4 | domain(a) != X4,
% 0.19/0.51 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.51
% 0.19/0.51 cnf(a1, assumption,
% 0.19/0.51 X0 = X4).
% 0.19/0.51 cnf(c6, plain,
% 0.19/0.51 domain(a) != X4,
% 0.19/0.51 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.19/0.51
% 0.19/0.51 cnf(a2, assumption,
% 0.19/0.51 domain(a) = X4).
% 0.19/0.51 cnf(c7, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(reflexivity, [assumptions([a2])], [c6])).
% 0.19/0.51
% 0.19/0.51 cnf(c8, axiom,
% 0.19/0.51 product(X5,X6,X6) | ~identity_map(X5) | ~defined(X5,X6)).
% 0.19/0.51 cnf(a3, assumption,
% 0.19/0.51 X2 = X5).
% 0.19/0.51 cnf(a4, assumption,
% 0.19/0.51 X3 = X6).
% 0.19/0.51 cnf(a5, assumption,
% 0.19/0.51 X1 = X6).
% 0.19/0.51 cnf(c9, plain,
% 0.19/0.51 ~product(X2,X3,X0),
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.19/0.51 cnf(c10, plain,
% 0.19/0.51 ~identity_map(X5) | ~defined(X5,X6),
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.19/0.51
% 0.19/0.51 cnf(c11, axiom,
% 0.19/0.51 identity_map(domain(X7))).
% 0.19/0.51 cnf(a6, assumption,
% 0.19/0.51 X5 = domain(X7)).
% 0.19/0.51 cnf(c12, plain,
% 0.19/0.51 ~defined(X5,X6),
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])).
% 0.19/0.51 cnf(c13, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])).
% 0.19/0.51
% 0.19/0.51 cnf(c14, axiom,
% 0.19/0.51 defined(X8,X9) | ~defined(X8,X10) | ~product(X9,X11,X10)).
% 0.19/0.51 cnf(a7, assumption,
% 0.19/0.51 X5 = X8).
% 0.19/0.51 cnf(a8, assumption,
% 0.19/0.51 X6 = X9).
% 0.19/0.51 cnf(c15, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 0.19/0.51 cnf(c16, plain,
% 0.19/0.51 ~defined(X8,X10) | ~product(X9,X11,X10),
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 0.19/0.51
% 0.19/0.51 cnf(c17, axiom,
% 0.19/0.51 defined(X12,X13) | ~defined(X14,X13) | ~product(X15,X12,X14)).
% 0.19/0.51 cnf(a9, assumption,
% 0.19/0.51 X8 = X12).
% 0.19/0.51 cnf(a10, assumption,
% 0.19/0.51 X10 = X13).
% 0.19/0.51 cnf(c18, plain,
% 0.19/0.51 ~product(X9,X11,X10),
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 0.19/0.51 cnf(c19, plain,
% 0.19/0.51 ~defined(X14,X13) | ~product(X15,X12,X14),
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 0.19/0.51
% 0.19/0.51 cnf(c20, axiom,
% 0.19/0.51 defined(a,b)).
% 0.19/0.51 cnf(a11, assumption,
% 0.19/0.51 X14 = a).
% 0.19/0.51 cnf(a12, assumption,
% 0.19/0.51 X13 = b).
% 0.19/0.51 cnf(c21, plain,
% 0.19/0.51 ~product(X15,X12,X14),
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a11, a12])], [c19, c20])).
% 0.19/0.51 cnf(c22, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a11, a12])], [c19, c20])).
% 0.19/0.51
% 0.19/0.51 cnf(c23, axiom,
% 0.19/0.51 product(X16,domain(X16),X16)).
% 0.19/0.51 cnf(a13, assumption,
% 0.19/0.51 X15 = X16).
% 0.19/0.51 cnf(a14, assumption,
% 0.19/0.51 X12 = domain(X16)).
% 0.19/0.51 cnf(a15, assumption,
% 0.19/0.51 X14 = X16).
% 0.19/0.51 cnf(c24, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c23])).
% 0.19/0.51 cnf(c25, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c23])).
% 0.19/0.51
% 0.19/0.51 cnf(c26, axiom,
% 0.19/0.51 product(codomain(X17),X17,X17)).
% 0.19/0.51 cnf(a16, assumption,
% 0.19/0.51 X9 = codomain(X17)).
% 0.19/0.51 cnf(a17, assumption,
% 0.19/0.51 X11 = X17).
% 0.19/0.51 cnf(a18, assumption,
% 0.19/0.51 X10 = X17).
% 0.19/0.51 cnf(c27, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c26])).
% 0.19/0.51 cnf(c28, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c26])).
% 0.19/0.51
% 0.19/0.51 cnf(c29, axiom,
% 0.19/0.51 product(X18,X19,X18) | ~identity_map(X19) | ~defined(X18,X19)).
% 0.19/0.51 cnf(a19, assumption,
% 0.19/0.51 X2 = X18).
% 0.19/0.51 cnf(a20, assumption,
% 0.19/0.51 X3 = X19).
% 0.19/0.51 cnf(a21, assumption,
% 0.19/0.51 X0 = X18).
% 0.19/0.51 cnf(c30, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c9, c29])).
% 0.19/0.51 cnf(c31, plain,
% 0.19/0.51 ~identity_map(X19) | ~defined(X18,X19),
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c9, c29])).
% 0.19/0.51
% 0.19/0.51 cnf(c32, axiom,
% 0.19/0.51 identity_map(codomain(X20))).
% 0.19/0.51 cnf(a22, assumption,
% 0.19/0.51 X19 = codomain(X20)).
% 0.19/0.51 cnf(c33, plain,
% 0.19/0.51 ~defined(X18,X19),
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a22])], [c31, c32])).
% 0.19/0.51 cnf(c34, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(strict_predicate_extension, [assumptions([a22])], [c31, c32])).
% 0.19/0.51
% 0.19/0.51 cnf(c35, plain,
% 0.19/0.51 defined(X5,X6)).
% 0.19/0.51 cnf(a23, assumption,
% 0.19/0.51 X18 = X5).
% 0.19/0.51 cnf(a24, assumption,
% 0.19/0.51 X19 = X6).
% 0.19/0.51 cnf(c36, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(predicate_reduction, [assumptions([a23, a24])], [c33, c35])).
% 0.19/0.51
% 0.19/0.51 cnf(c37, plain,
% 0.19/0.51 $false,
% 0.19/0.51 inference(constraint_solving, [
% 0.19/0.51 bind(X0, domain(a)),
% 0.19/0.51 bind(X1, codomain(b)),
% 0.19/0.51 bind(X2, domain(X7)),
% 0.19/0.51 bind(X3, codomain(b)),
% 0.19/0.51 bind(X4, domain(a)),
% 0.19/0.51 bind(X5, domain(X7)),
% 0.19/0.51 bind(X6, codomain(b)),
% 0.19/0.51 bind(X7, a),
% 0.19/0.51 bind(X8, domain(X7)),
% 0.19/0.51 bind(X9, codomain(b)),
% 0.19/0.51 bind(X10, b),
% 0.19/0.51 bind(X11, b),
% 0.19/0.51 bind(X12, domain(X7)),
% 0.19/0.51 bind(X13, b),
% 0.19/0.51 bind(X14, a),
% 0.19/0.51 bind(X15, a),
% 0.19/0.51 bind(X16, a),
% 0.19/0.51 bind(X17, b),
% 0.19/0.51 bind(X18, domain(X7)),
% 0.19/0.51 bind(X19, codomain(b)),
% 0.19/0.51 bind(X20, b)
% 0.19/0.51 ],
% 0.19/0.51 [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])).
% 0.19/0.51
% 0.19/0.51 % SZS output end IncompleteProof
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