TSTP Solution File: SEU056+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SEU056+1 : 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 : n023.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 11:52:58 EDT 2022
% Result : Theorem 58.27s 7.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU056+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n023.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 Jun 19 20:46:18 EDT 2022
% 0.14/0.34 % CPUTime :
% 58.27/7.77 % SZS status Theorem
% 58.27/7.77 % SZS output begin IncompleteProof
% 58.27/7.77 cnf(c0, axiom,
% 58.27/7.77 ~disjoint(relation_image(sK14,sK12),relation_image(sK14,sK13))).
% 58.27/7.77 cnf(c1, plain,
% 58.27/7.77 ~disjoint(relation_image(sK14,sK12),relation_image(sK14,sK13)),
% 58.27/7.77 inference(start, [], [c0])).
% 58.27/7.77
% 58.27/7.77 cnf(c2, axiom,
% 58.27/7.77 disjoint(X0,X1) | set_intersection2(X0,X1) != empty_set).
% 58.27/7.77 cnf(a0, assumption,
% 58.27/7.77 relation_image(sK14,sK12) = X0).
% 58.27/7.77 cnf(a1, assumption,
% 58.27/7.77 relation_image(sK14,sK13) = X1).
% 58.27/7.77 cnf(c3, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 58.27/7.77 cnf(c4, plain,
% 58.27/7.77 set_intersection2(X0,X1) != empty_set,
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 58.27/7.77
% 58.27/7.77 cnf(c5, axiom,
% 58.27/7.77 relation_image(X2,set_intersection2(X3,X4)) = set_intersection2(relation_image(X2,X3),relation_image(X2,X4)) | ~one_to_one(X2) | ~function(X2) | ~relation(X2)).
% 58.27/7.77 cnf(a2, assumption,
% 58.27/7.77 set_intersection2(X0,X1) = set_intersection2(relation_image(X2,X3),relation_image(X2,X4))).
% 58.27/7.77 cnf(c6, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(strict_function_extension, [assumptions([a2])], [c4, c5])).
% 58.27/7.77 cnf(c7, plain,
% 58.27/7.77 ~one_to_one(X2) | ~function(X2) | ~relation(X2),
% 58.27/7.77 inference(strict_function_extension, [assumptions([a2])], [c4, c5])).
% 58.27/7.77 cnf(c8, plain,
% 58.27/7.77 X5 != relation_image(X2,set_intersection2(X3,X4)) | X5 != empty_set,
% 58.27/7.77 inference(strict_function_extension, [assumptions([a2])], [c4, c5])).
% 58.27/7.77
% 58.27/7.77 cnf(c9, axiom,
% 58.27/7.77 set_intersection2(X6,X7) = empty_set | ~disjoint(X6,X7)).
% 58.27/7.77 cnf(a3, assumption,
% 58.27/7.77 set_intersection2(X3,X4) = set_intersection2(X6,X7)).
% 58.27/7.77 cnf(c10, plain,
% 58.27/7.77 X5 != empty_set,
% 58.27/7.77 inference(strict_function_extension, [assumptions([a3])], [c8, c9])).
% 58.27/7.77 cnf(c11, plain,
% 58.27/7.77 ~disjoint(X6,X7),
% 58.27/7.77 inference(strict_function_extension, [assumptions([a3])], [c8, c9])).
% 58.27/7.77 cnf(c12, plain,
% 58.27/7.77 X8 != empty_set | X5 != relation_image(X2,X8),
% 58.27/7.77 inference(strict_function_extension, [assumptions([a3])], [c8, c9])).
% 58.27/7.77
% 58.27/7.77 cnf(a4, assumption,
% 58.27/7.77 X8 = empty_set).
% 58.27/7.77 cnf(c13, plain,
% 58.27/7.77 X5 != relation_image(X2,X8),
% 58.27/7.77 inference(reflexivity, [assumptions([a4])], [c12])).
% 58.27/7.77
% 58.27/7.77 cnf(c14, axiom,
% 58.27/7.77 empty_set = relation_image(X9,empty_set) | ~relation(X9)).
% 58.27/7.77 cnf(a5, assumption,
% 58.27/7.77 relation_image(X2,X8) = relation_image(X9,empty_set)).
% 58.27/7.77 cnf(c15, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(strict_function_extension, [assumptions([a5])], [c13, c14])).
% 58.27/7.77 cnf(c16, plain,
% 58.27/7.77 ~relation(X9),
% 58.27/7.77 inference(strict_function_extension, [assumptions([a5])], [c13, c14])).
% 58.27/7.77 cnf(c17, plain,
% 58.27/7.77 X10 != empty_set | X5 != X10,
% 58.27/7.77 inference(strict_function_extension, [assumptions([a5])], [c13, c14])).
% 58.27/7.77
% 58.27/7.77 cnf(a6, assumption,
% 58.27/7.77 X10 = empty_set).
% 58.27/7.77 cnf(c18, plain,
% 58.27/7.77 X5 != X10,
% 58.27/7.77 inference(reflexivity, [assumptions([a6])], [c17])).
% 58.27/7.77
% 58.27/7.77 cnf(a7, assumption,
% 58.27/7.77 X5 = X10).
% 58.27/7.77 cnf(c19, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(reflexivity, [assumptions([a7])], [c18])).
% 58.27/7.77
% 58.27/7.77 cnf(c20, axiom,
% 58.27/7.77 relation(sK14)).
% 58.27/7.77 cnf(a8, assumption,
% 58.27/7.77 X9 = sK14).
% 58.27/7.77 cnf(c21, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a8])], [c16, c20])).
% 58.27/7.77 cnf(c22, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a8])], [c16, c20])).
% 58.27/7.77
% 58.27/7.77 cnf(c23, axiom,
% 58.27/7.77 disjoint(sK12,sK13)).
% 58.27/7.77 cnf(a9, assumption,
% 58.27/7.77 X6 = sK12).
% 58.27/7.77 cnf(a10, assumption,
% 58.27/7.77 X7 = sK13).
% 58.27/7.77 cnf(c24, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a9, a10])], [c11, c23])).
% 58.27/7.77 cnf(c25, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a9, a10])], [c11, c23])).
% 58.27/7.77
% 58.27/7.77 cnf(a11, assumption,
% 58.27/7.77 X5 = empty_set).
% 58.27/7.77 cnf(c26, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(reflexivity, [assumptions([a11])], [c10])).
% 58.27/7.77
% 58.27/7.77 cnf(c27, axiom,
% 58.27/7.77 one_to_one(sK14)).
% 58.27/7.77 cnf(a12, assumption,
% 58.27/7.77 X2 = sK14).
% 58.27/7.77 cnf(c28, plain,
% 58.27/7.77 ~function(X2) | ~relation(X2),
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a12])], [c7, c27])).
% 58.27/7.77 cnf(c29, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a12])], [c7, c27])).
% 58.27/7.77
% 58.27/7.77 cnf(c30, axiom,
% 58.27/7.77 function(sK14)).
% 58.27/7.77 cnf(a13, assumption,
% 58.27/7.77 X2 = sK14).
% 58.27/7.77 cnf(c31, plain,
% 58.27/7.77 ~relation(X2),
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a13])], [c28, c30])).
% 58.27/7.77 cnf(c32, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(strict_predicate_extension, [assumptions([a13])], [c28, c30])).
% 58.27/7.77
% 58.27/7.77 cnf(c33, plain,
% 58.27/7.77 relation(X9)).
% 58.27/7.77 cnf(a14, assumption,
% 58.27/7.77 X2 = X9).
% 58.27/7.77 cnf(c34, plain,
% 58.27/7.77 $false,
% 58.27/7.77 inference(predicate_reduction, [assumptions([a14])], [c31, c33])).
% 58.48/7.77
% 58.48/7.77 cnf(c35, plain,
% 58.48/7.77 $false,
% 58.48/7.77 inference(constraint_solving, [
% 58.48/7.77 bind(X0, relation_image(sK14,sK12)),
% 58.48/7.77 bind(X1, relation_image(sK14,sK13)),
% 58.48/7.77 bind(X2, sK14),
% 58.48/7.77 bind(X3, sK12),
% 58.48/7.77 bind(X4, sK13),
% 58.48/7.77 bind(X5, empty_set),
% 58.48/7.77 bind(X6, sK12),
% 58.48/7.77 bind(X7, sK13),
% 58.48/7.77 bind(X8, empty_set),
% 58.48/7.77 bind(X9, sK14),
% 58.48/7.77 bind(X10, empty_set)
% 58.48/7.77 ],
% 58.48/7.77 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 58.48/7.77
% 58.48/7.77 % SZS output end IncompleteProof
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