TSTP Solution File: SET968+1 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET968+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 : n010.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 02:49:30 EDT 2022
% Result : Theorem 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 02:40:15 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.38 % SZS status Theorem
% 0.14/0.38 % SZS output begin IncompleteProof
% 0.14/0.38 cnf(c0, axiom,
% 0.14/0.38 cartesian_product2(set_union2(sK2,sK3),set_union2(sK4,sK5)) != set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5))).
% 0.14/0.38 cnf(c1, plain,
% 0.14/0.38 cartesian_product2(set_union2(sK2,sK3),set_union2(sK4,sK5)) != set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5)),
% 0.14/0.38 inference(start, [], [c0])).
% 0.14/0.38
% 0.14/0.38 cnf(c2, axiom,
% 0.14/0.38 cartesian_product2(set_union2(X0,X1),X2) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2))).
% 0.14/0.38 cnf(a0, assumption,
% 0.14/0.38 cartesian_product2(set_union2(sK2,sK3),set_union2(sK4,sK5)) = cartesian_product2(set_union2(X0,X1),X2)).
% 0.14/0.38 cnf(c3, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.14/0.38 cnf(c4, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.14/0.38 cnf(c5, plain,
% 0.14/0.38 X3 != set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) | X3 != set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5)),
% 0.14/0.38 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.14/0.38
% 0.14/0.38 cnf(c6, axiom,
% 0.14/0.38 cartesian_product2(X4,set_union2(X5,X6)) = set_union2(cartesian_product2(X4,X5),cartesian_product2(X4,X6))).
% 0.14/0.38 cnf(a1, assumption,
% 0.14/0.38 cartesian_product2(X1,X2) = cartesian_product2(X4,set_union2(X5,X6))).
% 0.14/0.38 cnf(c7, plain,
% 0.14/0.38 X3 != set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5)),
% 0.14/0.38 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.14/0.38 cnf(c8, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.14/0.38 cnf(c9, plain,
% 0.14/0.38 X7 != set_union2(cartesian_product2(X4,X5),cartesian_product2(X4,X6)) | X3 != set_union2(cartesian_product2(X0,X2),X7),
% 0.14/0.38 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.14/0.38
% 0.14/0.38 cnf(a2, assumption,
% 0.14/0.38 X7 = set_union2(cartesian_product2(X4,X5),cartesian_product2(X4,X6))).
% 0.14/0.38 cnf(c10, plain,
% 0.14/0.38 X3 != set_union2(cartesian_product2(X0,X2),X7),
% 0.14/0.38 inference(reflexivity, [assumptions([a2])], [c9])).
% 0.14/0.38
% 0.14/0.38 cnf(c11, axiom,
% 0.14/0.38 cartesian_product2(X8,set_union2(X9,X10)) = set_union2(cartesian_product2(X8,X9),cartesian_product2(X8,X10))).
% 0.14/0.38 cnf(a3, assumption,
% 0.14/0.38 cartesian_product2(X0,X2) = cartesian_product2(X8,set_union2(X9,X10))).
% 0.14/0.38 cnf(c12, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.14/0.38 cnf(c13, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.14/0.38 cnf(c14, plain,
% 0.14/0.38 X11 != set_union2(cartesian_product2(X8,X9),cartesian_product2(X8,X10)) | X3 != set_union2(X11,X7),
% 0.14/0.38 inference(strict_function_extension, [assumptions([a3])], [c10, c11])).
% 0.14/0.38
% 0.14/0.38 cnf(a4, assumption,
% 0.14/0.38 X11 = set_union2(cartesian_product2(X8,X9),cartesian_product2(X8,X10))).
% 0.14/0.38 cnf(c15, plain,
% 0.14/0.38 X3 != set_union2(X11,X7),
% 0.14/0.38 inference(reflexivity, [assumptions([a4])], [c14])).
% 0.14/0.38
% 0.14/0.38 cnf(a5, assumption,
% 0.14/0.38 X3 = set_union2(X11,X7)).
% 0.14/0.38 cnf(c16, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(reflexivity, [assumptions([a5])], [c15])).
% 0.14/0.38
% 0.14/0.38 cnf(c17, axiom,
% 0.14/0.38 set_union2(set_union2(X12,X13),X14) = set_union2(X12,set_union2(X13,X14))).
% 0.14/0.38 cnf(a6, assumption,
% 0.14/0.38 set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5)) = set_union2(set_union2(X12,X13),X14)).
% 0.14/0.38 cnf(c18, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(strict_function_extension, [assumptions([a6])], [c7, c17])).
% 0.14/0.38 cnf(c19, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(strict_function_extension, [assumptions([a6])], [c7, c17])).
% 0.14/0.38 cnf(c20, plain,
% 0.14/0.38 X15 != set_union2(X12,set_union2(X13,X14)) | X3 != X15,
% 0.14/0.38 inference(strict_function_extension, [assumptions([a6])], [c7, c17])).
% 0.14/0.38
% 0.14/0.38 cnf(a7, assumption,
% 0.14/0.38 X15 = set_union2(X12,set_union2(X13,X14))).
% 0.14/0.38 cnf(c21, plain,
% 0.14/0.38 X3 != X15,
% 0.14/0.38 inference(reflexivity, [assumptions([a7])], [c20])).
% 0.14/0.38
% 0.14/0.38 cnf(a8, assumption,
% 0.14/0.38 X3 = X15).
% 0.14/0.38 cnf(c22, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(reflexivity, [assumptions([a8])], [c21])).
% 0.14/0.38
% 0.14/0.38 cnf(c23, plain,
% 0.14/0.38 $false,
% 0.14/0.38 inference(constraint_solving, [
% 0.14/0.38 bind(X0, sK2),
% 0.14/0.38 bind(X1, sK3),
% 0.14/0.38 bind(X2, set_union2(sK4,sK5)),
% 0.14/0.38 bind(X3, set_union2(X11,X7)),
% 0.14/0.38 bind(X4, sK3),
% 0.14/0.38 bind(X5, sK4),
% 0.14/0.38 bind(X6, sK5),
% 0.14/0.38 bind(X7, set_union2(cartesian_product2(X4,X5),cartesian_product2(X4,X6))),
% 0.14/0.38 bind(X8, sK2),
% 0.14/0.38 bind(X9, sK4),
% 0.14/0.38 bind(X10, sK5),
% 0.14/0.38 bind(X11, set_union2(cartesian_product2(X8,X9),cartesian_product2(X8,X10))),
% 0.14/0.38 bind(X12, set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5))),
% 0.14/0.38 bind(X13, cartesian_product2(sK3,sK4)),
% 0.14/0.38 bind(X14, cartesian_product2(sK3,sK5)),
% 0.14/0.38 bind(X15, set_union2(X12,set_union2(X13,X14)))
% 0.14/0.38 ],
% 0.14/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8])).
% 0.14/0.38
% 0.14/0.38 % SZS output end IncompleteProof
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