TSTP Solution File: SET879+1 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET879+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 02:48:57 EDT 2022
% Result : Theorem 5.25s 1.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET879+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 17:38:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.25/1.01 % SZS status Theorem
% 5.25/1.01 % SZS output begin IncompleteProof
% 5.25/1.01 cnf(c0, axiom,
% 5.25/1.01 sK4 = sK5 | singleton(sK4) != set_difference(singleton(sK4),singleton(sK5))).
% 5.25/1.01 cnf(c1, plain,
% 5.25/1.01 sK4 = sK5 | singleton(sK4) != set_difference(singleton(sK4),singleton(sK5)),
% 5.25/1.01 inference(start, [], [c0])).
% 5.25/1.01
% 5.25/1.01 cnf(c2, axiom,
% 5.25/1.01 sK4 != sK5 | singleton(sK4) = set_difference(singleton(sK4),singleton(sK5))).
% 5.25/1.01 cnf(a0, assumption,
% 5.25/1.01 sK5 = sK5).
% 5.25/1.01 cnf(a1, assumption,
% 5.25/1.01 sK4 = X0).
% 5.25/1.01 cnf(c3, plain,
% 5.25/1.01 singleton(sK4) != set_difference(singleton(sK4),singleton(sK5)),
% 5.25/1.01 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 5.25/1.01 cnf(c4, plain,
% 5.25/1.01 sK4 != sK5,
% 5.25/1.01 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 5.25/1.01 cnf(c5, plain,
% 5.25/1.01 singleton(sK4) = set_difference(singleton(sK4),singleton(X0)),
% 5.25/1.01 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 5.25/1.01
% 5.25/1.01 cnf(c6, axiom,
% 5.25/1.01 ~in(X1,X2) | singleton(X1) != set_difference(singleton(X1),X2)).
% 5.25/1.01 cnf(a2, assumption,
% 5.25/1.01 set_difference(singleton(X1),X2) = set_difference(singleton(sK4),singleton(X0))).
% 5.25/1.01 cnf(a3, assumption,
% 5.25/1.01 singleton(sK4) = X3).
% 5.25/1.01 cnf(c7, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])).
% 5.25/1.01 cnf(c8, plain,
% 5.25/1.01 ~in(X1,X2),
% 5.25/1.01 inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])).
% 5.25/1.01 cnf(c9, plain,
% 5.25/1.01 singleton(X1) != X3,
% 5.25/1.01 inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])).
% 5.25/1.01
% 5.25/1.01 cnf(a4, assumption,
% 5.25/1.01 singleton(X1) = X3).
% 5.25/1.01 cnf(c10, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(reflexivity, [assumptions([a4])], [c9])).
% 5.25/1.01
% 5.25/1.01 cnf(c11, axiom,
% 5.25/1.01 in(X4,X5) | ~sP0(X4,X5)).
% 5.25/1.01 cnf(a5, assumption,
% 5.25/1.01 X1 = X4).
% 5.25/1.01 cnf(a6, assumption,
% 5.25/1.01 X2 = X5).
% 5.25/1.01 cnf(c12, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(strict_predicate_extension, [assumptions([a5, a6])], [c8, c11])).
% 5.25/1.01 cnf(c13, plain,
% 5.25/1.01 ~sP0(X4,X5),
% 5.25/1.01 inference(strict_predicate_extension, [assumptions([a5, a6])], [c8, c11])).
% 5.25/1.01
% 5.25/1.01 cnf(c14, axiom,
% 5.25/1.01 sP0(X6,singleton(X6))).
% 5.25/1.01 cnf(a7, assumption,
% 5.25/1.01 X4 = X6).
% 5.25/1.01 cnf(a8, assumption,
% 5.25/1.01 X5 = singleton(X6)).
% 5.25/1.01 cnf(c15, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])).
% 5.25/1.01 cnf(c16, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])).
% 5.25/1.01
% 5.25/1.01 cnf(c17, plain,
% 5.25/1.01 sK4 = sK5).
% 5.25/1.01 cnf(a9, assumption,
% 5.25/1.01 sK5 = sK5).
% 5.25/1.01 cnf(a10, assumption,
% 5.25/1.01 sK4 = X7).
% 5.25/1.01 cnf(c18, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(equality_reduction, [assumptions([a9, a10])], [c4, c17])).
% 5.25/1.01 cnf(c19, plain,
% 5.25/1.01 sK4 != X7,
% 5.25/1.01 inference(equality_reduction, [assumptions([a9, a10])], [c4, c17])).
% 5.25/1.01
% 5.25/1.01 cnf(a11, assumption,
% 5.25/1.01 sK4 = X7).
% 5.25/1.01 cnf(c20, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(reflexivity, [assumptions([a11])], [c19])).
% 5.25/1.01
% 5.25/1.01 cnf(c21, axiom,
% 5.25/1.01 singleton(X8) = set_difference(singleton(X8),X9) | in(X8,X9)).
% 5.25/1.01 cnf(a12, assumption,
% 5.25/1.01 set_difference(singleton(sK4),singleton(sK5)) = set_difference(singleton(X8),X9)).
% 5.25/1.01 cnf(c22, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(strict_function_extension, [assumptions([a12])], [c3, c21])).
% 5.25/1.01 cnf(c23, plain,
% 5.25/1.01 in(X8,X9),
% 5.25/1.01 inference(strict_function_extension, [assumptions([a12])], [c3, c21])).
% 5.25/1.01 cnf(c24, plain,
% 5.25/1.01 X10 != singleton(X8) | singleton(sK4) != X10,
% 5.25/1.01 inference(strict_function_extension, [assumptions([a12])], [c3, c21])).
% 5.25/1.01
% 5.25/1.01 cnf(a13, assumption,
% 5.25/1.01 X10 = singleton(X8)).
% 5.25/1.01 cnf(c25, plain,
% 5.25/1.01 singleton(sK4) != X10,
% 5.25/1.01 inference(reflexivity, [assumptions([a13])], [c24])).
% 5.25/1.01
% 5.25/1.01 cnf(a14, assumption,
% 5.25/1.01 singleton(sK4) = X10).
% 5.25/1.01 cnf(c26, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(reflexivity, [assumptions([a14])], [c25])).
% 5.25/1.01
% 5.25/1.01 cnf(c27, axiom,
% 5.25/1.01 X11 = X12 | ~in(X12,X13) | ~sP0(X11,X13)).
% 5.25/1.01 cnf(a15, assumption,
% 5.25/1.01 X8 = X12).
% 5.25/1.01 cnf(a16, assumption,
% 5.25/1.01 X9 = X13).
% 5.25/1.01 cnf(c28, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(strict_predicate_extension, [assumptions([a15, a16])], [c23, c27])).
% 5.25/1.01 cnf(c29, plain,
% 5.25/1.01 X11 = X12 | ~sP0(X11,X13),
% 5.25/1.01 inference(strict_predicate_extension, [assumptions([a15, a16])], [c23, c27])).
% 5.25/1.01
% 5.25/1.01 cnf(c30, plain,
% 5.25/1.01 sK4 != sK5).
% 5.25/1.01 cnf(a17, assumption,
% 5.25/1.01 sK5 = X11).
% 5.25/1.01 cnf(c31, plain,
% 5.25/1.01 ~sP0(X11,X13),
% 5.25/1.01 inference(subterm_reduction, [assumptions([a17])], [c29, c30])).
% 5.25/1.01 cnf(c32, plain,
% 5.25/1.01 sK4 != X12,
% 5.25/1.01 inference(subterm_reduction, [assumptions([a17])], [c29, c30])).
% 5.25/1.01
% 5.25/1.01 cnf(a18, assumption,
% 5.25/1.01 sK4 = X12).
% 5.25/1.01 cnf(c33, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(reflexivity, [assumptions([a18])], [c32])).
% 5.25/1.01
% 5.25/1.01 cnf(c34, axiom,
% 5.25/1.01 sP0(X14,singleton(X14))).
% 5.25/1.01 cnf(a19, assumption,
% 5.25/1.01 X11 = X14).
% 5.25/1.01 cnf(a20, assumption,
% 5.25/1.01 X13 = singleton(X14)).
% 5.25/1.01 cnf(c35, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(strict_predicate_extension, [assumptions([a19, a20])], [c31, c34])).
% 5.25/1.01 cnf(c36, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(strict_predicate_extension, [assumptions([a19, a20])], [c31, c34])).
% 5.25/1.01
% 5.25/1.01 cnf(c37, plain,
% 5.25/1.01 $false,
% 5.25/1.01 inference(constraint_solving, [
% 5.25/1.01 bind(X0, sK4),
% 5.25/1.01 bind(X1, sK4),
% 5.25/1.01 bind(X2, singleton(X0)),
% 5.25/1.01 bind(X3, singleton(sK4)),
% 5.25/1.01 bind(X4, sK4),
% 5.25/1.01 bind(X5, singleton(X0)),
% 5.25/1.01 bind(X6, sK4),
% 5.25/1.01 bind(X7, sK4),
% 5.25/1.01 bind(X8, sK4),
% 5.25/1.01 bind(X9, singleton(sK5)),
% 5.25/1.01 bind(X10, singleton(X8)),
% 5.25/1.01 bind(X11, sK5),
% 5.25/1.01 bind(X12, sK4),
% 5.25/1.01 bind(X13, singleton(sK5)),
% 5.25/1.01 bind(X14, sK5)
% 5.25/1.01 ],
% 5.25/1.01 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])).
% 5.25/1.01
% 5.25/1.01 % SZS output end IncompleteProof
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