TSTP Solution File: SET924+1 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET924+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 : n014.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 02:49:14 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET924+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 15:34:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % SZS status Theorem
% 0.12/0.34 % SZS output begin IncompleteProof
% 0.12/0.34 cnf(c0, axiom,
% 0.12/0.34 ~in(sK2,sK3) | singleton(sK2) = set_difference(singleton(sK2),sK3)).
% 0.12/0.34 cnf(c1, plain,
% 0.12/0.34 ~in(sK2,sK3) | singleton(sK2) = set_difference(singleton(sK2),sK3),
% 0.12/0.34 inference(start, [], [c0])).
% 0.12/0.34
% 0.12/0.34 cnf(c2, axiom,
% 0.12/0.34 singleton(X0) = set_difference(singleton(X0),X1) | in(X0,X1)).
% 0.12/0.34 cnf(a0, assumption,
% 0.12/0.34 sK2 = X0).
% 0.12/0.34 cnf(a1, assumption,
% 0.12/0.34 sK3 = X1).
% 0.12/0.34 cnf(c3, plain,
% 0.12/0.34 singleton(sK2) = set_difference(singleton(sK2),sK3),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.34 cnf(c4, plain,
% 0.12/0.34 singleton(X0) = set_difference(singleton(X0),X1),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.34
% 0.12/0.34 cnf(c5, axiom,
% 0.12/0.34 in(sK2,sK3) | singleton(sK2) != set_difference(singleton(sK2),sK3)).
% 0.12/0.34 cnf(a2, assumption,
% 0.12/0.34 set_difference(singleton(sK2),sK3) = set_difference(singleton(X0),X1)).
% 0.12/0.34 cnf(a3, assumption,
% 0.12/0.34 singleton(X0) = X2).
% 0.12/0.34 cnf(c6, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.12/0.34 cnf(c7, plain,
% 0.12/0.34 in(sK2,sK3),
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.12/0.34 cnf(c8, plain,
% 0.12/0.34 singleton(sK2) != X2,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.12/0.34
% 0.12/0.34 cnf(a4, assumption,
% 0.12/0.34 singleton(sK2) = X2).
% 0.12/0.34 cnf(c9, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a4])], [c8])).
% 0.12/0.34
% 0.12/0.34 cnf(c10, plain,
% 0.12/0.34 ~in(sK2,sK3)).
% 0.12/0.34 cnf(a5, assumption,
% 0.12/0.34 sK2 = sK2).
% 0.12/0.34 cnf(a6, assumption,
% 0.12/0.34 sK3 = sK3).
% 0.12/0.34 cnf(c11, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(predicate_reduction, [assumptions([a5, a6])], [c7, c10])).
% 0.12/0.34
% 0.12/0.34 cnf(c12, axiom,
% 0.12/0.34 ~in(X3,X4) | singleton(X3) != set_difference(singleton(X3),X4)).
% 0.12/0.34 cnf(a7, assumption,
% 0.12/0.34 set_difference(singleton(X3),X4) = set_difference(singleton(sK2),sK3)).
% 0.12/0.34 cnf(a8, assumption,
% 0.12/0.34 singleton(sK2) = X5).
% 0.12/0.34 cnf(c13, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a7, a8])], [c3, c12])).
% 0.12/0.34 cnf(c14, plain,
% 0.12/0.34 ~in(X3,X4),
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a7, a8])], [c3, c12])).
% 0.12/0.34 cnf(c15, plain,
% 0.12/0.34 singleton(X3) != X5,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a7, a8])], [c3, c12])).
% 0.12/0.34
% 0.12/0.34 cnf(a9, assumption,
% 0.12/0.34 singleton(X3) = X5).
% 0.12/0.34 cnf(c16, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a9])], [c15])).
% 0.12/0.34
% 0.12/0.34 cnf(c17, plain,
% 0.12/0.34 in(sK2,sK3)).
% 0.12/0.34 cnf(a10, assumption,
% 0.12/0.34 X3 = sK2).
% 0.12/0.34 cnf(a11, assumption,
% 0.12/0.34 X4 = sK3).
% 0.12/0.34 cnf(c18, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(predicate_reduction, [assumptions([a10, a11])], [c14, c17])).
% 0.12/0.34
% 0.12/0.34 cnf(c19, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(constraint_solving, [
% 0.12/0.34 bind(X0, sK2),
% 0.12/0.34 bind(X1, sK3),
% 0.12/0.34 bind(X2, singleton(X0)),
% 0.12/0.34 bind(X3, sK2),
% 0.12/0.34 bind(X4, sK3),
% 0.12/0.34 bind(X5, singleton(sK2))
% 0.12/0.34 ],
% 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])).
% 0.12/0.34
% 0.12/0.34 % SZS output end IncompleteProof
%------------------------------------------------------------------------------