TSTP Solution File: SET983+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET983+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 : n015.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 02:49:35 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET983+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n015.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 15:21:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % SZS output begin IncompleteProof
% 0.13/0.36 cnf(c0, axiom,
% 0.13/0.36 ~in(sK5,cartesian_product2(set_intersection2(sK6,sK8),set_intersection2(sK7,sK9)))).
% 0.13/0.36 cnf(c1, plain,
% 0.13/0.36 ~in(sK5,cartesian_product2(set_intersection2(sK6,sK8),set_intersection2(sK7,sK9))),
% 0.13/0.36 inference(start, [], [c0])).
% 0.13/0.36
% 0.13/0.36 cnf(c2, axiom,
% 0.13/0.36 cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3))).
% 0.13/0.36 cnf(a0, assumption,
% 0.13/0.36 cartesian_product2(set_intersection2(sK6,sK8),set_intersection2(sK7,sK9)) = cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3))).
% 0.13/0.36 cnf(c3, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c4, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c5, plain,
% 0.13/0.36 X4 != set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) | ~in(sK5,X4),
% 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36
% 0.13/0.36 cnf(a1, assumption,
% 0.13/0.36 X4 = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3))).
% 0.13/0.36 cnf(c6, plain,
% 0.13/0.36 ~in(sK5,X4),
% 0.13/0.36 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.13/0.36
% 0.13/0.36 cnf(c7, axiom,
% 0.13/0.36 in(X5,X6) | ~sP0(X7,X5,X8) | ~sP1(X8,X7,X6)).
% 0.13/0.36 cnf(a2, assumption,
% 0.13/0.36 sK5 = X5).
% 0.13/0.36 cnf(a3, assumption,
% 0.13/0.36 X4 = X6).
% 0.13/0.36 cnf(c8, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a2, a3])], [c6, c7])).
% 0.13/0.36 cnf(c9, plain,
% 0.13/0.36 ~sP0(X7,X5,X8) | ~sP1(X8,X7,X6),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a2, a3])], [c6, c7])).
% 0.13/0.36
% 0.13/0.36 cnf(c10, axiom,
% 0.13/0.36 sP0(X9,X10,X11) | ~in(X10,X9) | ~in(X10,X11)).
% 0.13/0.36 cnf(a4, assumption,
% 0.13/0.36 X7 = X9).
% 0.13/0.36 cnf(a5, assumption,
% 0.13/0.36 X5 = X10).
% 0.13/0.36 cnf(a6, assumption,
% 0.13/0.36 X8 = X11).
% 0.13/0.36 cnf(c11, plain,
% 0.13/0.36 ~sP1(X8,X7,X6),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c9, c10])).
% 0.13/0.36 cnf(c12, plain,
% 0.13/0.36 ~in(X10,X9) | ~in(X10,X11),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c9, c10])).
% 0.13/0.36
% 0.13/0.36 cnf(c13, axiom,
% 0.13/0.36 in(sK5,cartesian_product2(sK8,sK9))).
% 0.13/0.36 cnf(a7, assumption,
% 0.13/0.36 X10 = sK5).
% 0.13/0.36 cnf(a8, assumption,
% 0.13/0.36 X9 = cartesian_product2(sK8,sK9)).
% 0.13/0.36 cnf(c14, plain,
% 0.13/0.36 ~in(X10,X11),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c13])).
% 0.13/0.36 cnf(c15, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c13])).
% 0.13/0.36
% 0.13/0.36 cnf(c16, axiom,
% 0.13/0.36 in(sK5,cartesian_product2(sK6,sK7))).
% 0.13/0.36 cnf(a9, assumption,
% 0.13/0.36 X10 = sK5).
% 0.13/0.36 cnf(a10, assumption,
% 0.13/0.36 X11 = cartesian_product2(sK6,sK7)).
% 0.13/0.36 cnf(c17, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10])], [c14, c16])).
% 0.13/0.36 cnf(c18, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10])], [c14, c16])).
% 0.13/0.36
% 0.13/0.36 cnf(c19, axiom,
% 0.13/0.36 sP1(X12,X13,set_intersection2(X12,X13))).
% 0.13/0.36 cnf(a11, assumption,
% 0.13/0.36 X8 = X12).
% 0.13/0.36 cnf(a12, assumption,
% 0.13/0.36 X7 = X13).
% 0.13/0.36 cnf(a13, assumption,
% 0.13/0.36 X6 = set_intersection2(X12,X13)).
% 0.13/0.36 cnf(c20, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c11, c19])).
% 0.13/0.36 cnf(c21, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c11, c19])).
% 0.13/0.36
% 0.13/0.36 cnf(c22, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(constraint_solving, [
% 0.13/0.36 bind(X0, sK6),
% 0.13/0.36 bind(X1, sK8),
% 0.13/0.36 bind(X2, sK7),
% 0.13/0.36 bind(X3, sK9),
% 0.13/0.36 bind(X4, set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3))),
% 0.13/0.36 bind(X5, sK5),
% 0.13/0.36 bind(X6, set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3))),
% 0.13/0.36 bind(X7, cartesian_product2(sK8,sK9)),
% 0.13/0.36 bind(X8, cartesian_product2(sK6,sK7)),
% 0.13/0.36 bind(X9, cartesian_product2(sK8,sK9)),
% 0.13/0.36 bind(X10, sK5),
% 0.13/0.36 bind(X11, cartesian_product2(sK6,sK7)),
% 0.13/0.36 bind(X12, cartesian_product2(sK6,sK7)),
% 0.13/0.36 bind(X13, cartesian_product2(sK8,sK9))
% 0.13/0.36 ],
% 0.13/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])).
% 0.13/0.36
% 0.13/0.36 % SZS output end IncompleteProof
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