TSTP Solution File: CAT006-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : CAT006-1 : 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 00:03:26 EDT 2022
% Result : Unsatisfiable 0.21s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.34 % Computer : n029.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 19:04:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.37 % SZS status Unsatisfiable
% 0.21/0.37 % SZS output begin IncompleteProof
% 0.21/0.37 cnf(c0, axiom,
% 0.21/0.37 h != codomain(a)).
% 0.21/0.37 cnf(c1, plain,
% 0.21/0.37 h != codomain(a),
% 0.21/0.37 inference(start, [], [c0])).
% 0.21/0.37
% 0.21/0.37 cnf(c2, axiom,
% 0.21/0.37 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)).
% 0.21/0.37 cnf(a0, assumption,
% 0.21/0.37 codomain(a) = X1).
% 0.21/0.37 cnf(c3, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.21/0.37 cnf(c4, plain,
% 0.21/0.37 ~product(X2,X3,X1) | ~product(X2,X3,X0),
% 0.21/0.37 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.21/0.37 cnf(c5, plain,
% 0.21/0.37 X0 != X4 | h != X4,
% 0.21/0.37 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.21/0.37
% 0.21/0.37 cnf(a1, assumption,
% 0.21/0.37 X0 = X4).
% 0.21/0.37 cnf(c6, plain,
% 0.21/0.37 h != X4,
% 0.21/0.37 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.21/0.37
% 0.21/0.37 cnf(a2, assumption,
% 0.21/0.37 h = X4).
% 0.21/0.37 cnf(c7, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(reflexivity, [assumptions([a2])], [c6])).
% 0.21/0.37
% 0.21/0.37 cnf(c8, axiom,
% 0.21/0.37 product(X5,X6,X6) | ~identity_map(X5) | ~defined(X5,X6)).
% 0.21/0.37 cnf(a3, assumption,
% 0.21/0.37 X2 = X5).
% 0.21/0.37 cnf(a4, assumption,
% 0.21/0.37 X3 = X6).
% 0.21/0.37 cnf(a5, assumption,
% 0.21/0.37 X1 = X6).
% 0.21/0.37 cnf(c9, plain,
% 0.21/0.37 ~product(X2,X3,X0),
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.21/0.37 cnf(c10, plain,
% 0.21/0.37 ~identity_map(X5) | ~defined(X5,X6),
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.21/0.37
% 0.21/0.37 cnf(c11, axiom,
% 0.21/0.37 identity_map(h)).
% 0.21/0.37 cnf(a6, assumption,
% 0.21/0.37 X5 = h).
% 0.21/0.37 cnf(c12, plain,
% 0.21/0.37 ~defined(X5,X6),
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])).
% 0.21/0.37 cnf(c13, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])).
% 0.21/0.37
% 0.21/0.37 cnf(c14, axiom,
% 0.21/0.37 defined(X7,X8) | ~defined(X7,X9) | ~product(X8,X10,X9)).
% 0.21/0.37 cnf(a7, assumption,
% 0.21/0.37 X5 = X7).
% 0.21/0.37 cnf(a8, assumption,
% 0.21/0.37 X6 = X8).
% 0.21/0.37 cnf(c15, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 0.21/0.37 cnf(c16, plain,
% 0.21/0.37 ~defined(X7,X9) | ~product(X8,X10,X9),
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 0.21/0.37
% 0.21/0.37 cnf(c17, axiom,
% 0.21/0.37 defined(h,a)).
% 0.21/0.37 cnf(a9, assumption,
% 0.21/0.37 X7 = h).
% 0.21/0.37 cnf(a10, assumption,
% 0.21/0.37 X9 = a).
% 0.21/0.37 cnf(c18, plain,
% 0.21/0.37 ~product(X8,X10,X9),
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 0.21/0.37 cnf(c19, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 0.21/0.37
% 0.21/0.37 cnf(c20, axiom,
% 0.21/0.37 product(codomain(X11),X11,X11)).
% 0.21/0.37 cnf(a11, assumption,
% 0.21/0.37 X8 = codomain(X11)).
% 0.21/0.37 cnf(a12, assumption,
% 0.21/0.37 X10 = X11).
% 0.21/0.37 cnf(a13, assumption,
% 0.21/0.37 X9 = X11).
% 0.21/0.37 cnf(c21, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c18, c20])).
% 0.21/0.37 cnf(c22, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c18, c20])).
% 0.21/0.37
% 0.21/0.37 cnf(c23, axiom,
% 0.21/0.37 product(X12,X13,X12) | ~identity_map(X13) | ~defined(X12,X13)).
% 0.21/0.37 cnf(a14, assumption,
% 0.21/0.37 X2 = X12).
% 0.21/0.37 cnf(a15, assumption,
% 0.21/0.37 X3 = X13).
% 0.21/0.37 cnf(a16, assumption,
% 0.21/0.37 X0 = X12).
% 0.21/0.37 cnf(c24, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c9, c23])).
% 0.21/0.37 cnf(c25, plain,
% 0.21/0.37 ~identity_map(X13) | ~defined(X12,X13),
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c9, c23])).
% 0.21/0.37
% 0.21/0.37 cnf(c26, axiom,
% 0.21/0.37 identity_map(codomain(X14))).
% 0.21/0.37 cnf(a17, assumption,
% 0.21/0.37 X13 = codomain(X14)).
% 0.21/0.37 cnf(c27, plain,
% 0.21/0.37 ~defined(X12,X13),
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a17])], [c25, c26])).
% 0.21/0.37 cnf(c28, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(strict_predicate_extension, [assumptions([a17])], [c25, c26])).
% 0.21/0.37
% 0.21/0.37 cnf(c29, plain,
% 0.21/0.37 defined(X5,X6)).
% 0.21/0.37 cnf(a18, assumption,
% 0.21/0.37 X12 = X5).
% 0.21/0.37 cnf(a19, assumption,
% 0.21/0.37 X13 = X6).
% 0.21/0.37 cnf(c30, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(predicate_reduction, [assumptions([a18, a19])], [c27, c29])).
% 0.21/0.37
% 0.21/0.37 cnf(c31, plain,
% 0.21/0.37 $false,
% 0.21/0.37 inference(constraint_solving, [
% 0.21/0.37 bind(X0, h),
% 0.21/0.37 bind(X1, codomain(a)),
% 0.21/0.37 bind(X2, h),
% 0.21/0.37 bind(X3, codomain(a)),
% 0.21/0.37 bind(X4, h),
% 0.21/0.37 bind(X5, h),
% 0.21/0.37 bind(X6, codomain(a)),
% 0.21/0.37 bind(X7, h),
% 0.21/0.37 bind(X8, codomain(a)),
% 0.21/0.37 bind(X9, a),
% 0.21/0.37 bind(X10, a),
% 0.21/0.37 bind(X11, a),
% 0.21/0.37 bind(X12, h),
% 0.21/0.37 bind(X13, codomain(a)),
% 0.21/0.37 bind(X14, a)
% 0.21/0.37 ],
% 0.21/0.37 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19])).
% 0.21/0.37
% 0.21/0.37 % SZS output end IncompleteProof
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