TSTP Solution File: SET840-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET840-2 : 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 : n004.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 02:48:34 EDT 2022
% Result : Unsatisfiable 5.79s 1.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET840-2 : 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
% 0.14/0.35 % Computer : n004.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 04:42:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 5.79/1.09 % SZS status Unsatisfiable
% 5.79/1.09 % SZS output begin IncompleteProof
% 5.79/1.09 cnf(c0, axiom,
% 5.79/1.09 ~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b)))).
% 5.79/1.09 cnf(c1, plain,
% 5.79/1.09 ~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))),
% 5.79/1.09 inference(start, [], [c0])).
% 5.79/1.09
% 5.79/1.09 cnf(c2, axiom,
% 5.79/1.09 c_lessequals(X1,X2,tc_set(X3)) | c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)).
% 5.79/1.09 cnf(a0, assumption,
% 5.79/1.09 v_S = X1).
% 5.79/1.09 cnf(a1, assumption,
% 5.79/1.09 c_insert(X0,c_emptyset,tc_set(t_b)) = X2).
% 5.79/1.09 cnf(a2, assumption,
% 5.79/1.09 tc_set(tc_set(t_b)) = tc_set(X3)).
% 5.79/1.09 cnf(c3, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 5.79/1.09 cnf(c4, plain,
% 5.79/1.09 c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3),
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 5.79/1.09
% 5.79/1.09 cnf(c5, axiom,
% 5.79/1.09 ~c_in(X4,v_S,tc_set(t_b)) | c_lessequals(c_Union(v_S,t_b),X4,tc_set(t_b))).
% 5.79/1.09 cnf(a3, assumption,
% 5.79/1.09 c_Main_OsubsetI__1(X1,X2,X3) = X4).
% 5.79/1.09 cnf(a4, assumption,
% 5.79/1.09 X1 = v_S).
% 5.79/1.09 cnf(a5, assumption,
% 5.79/1.09 X3 = tc_set(t_b)).
% 5.79/1.09 cnf(c6, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 5.79/1.09 cnf(c7, plain,
% 5.79/1.09 c_lessequals(c_Union(v_S,t_b),X4,tc_set(t_b)),
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 5.79/1.09
% 5.79/1.09 cnf(c8, axiom,
% 5.79/1.09 X5 = X6 | ~c_lessequals(X5,X6,tc_set(X7)) | ~c_lessequals(X6,X5,tc_set(X7))).
% 5.79/1.09 cnf(a6, assumption,
% 5.79/1.09 c_Union(v_S,t_b) = X6).
% 5.79/1.09 cnf(a7, assumption,
% 5.79/1.09 X4 = X5).
% 5.79/1.09 cnf(a8, assumption,
% 5.79/1.09 tc_set(t_b) = tc_set(X7)).
% 5.79/1.09 cnf(c9, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 5.79/1.09 cnf(c10, plain,
% 5.79/1.09 X5 = X6 | ~c_lessequals(X5,X6,tc_set(X7)),
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 5.79/1.09
% 5.79/1.09 cnf(c11, axiom,
% 5.79/1.09 c_lessequals(X8,X9,tc_set(X10)) | ~c_in(c_Main_OsubsetI__1(X8,X9,X10),X9,X10)).
% 5.79/1.09 cnf(a9, assumption,
% 5.79/1.09 c_Main_OsubsetI__1(X8,X9,X10) = X5).
% 5.79/1.09 cnf(c12, plain,
% 5.79/1.09 ~c_lessequals(X5,X6,tc_set(X7)),
% 5.79/1.09 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])).
% 5.79/1.09 cnf(c13, plain,
% 5.79/1.09 c_lessequals(X8,X9,tc_set(X10)),
% 5.79/1.09 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])).
% 5.79/1.09 cnf(c14, plain,
% 5.79/1.09 ~c_in(X6,X9,X10),
% 5.79/1.09 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])).
% 5.79/1.09
% 5.79/1.09 cnf(c15, axiom,
% 5.79/1.09 c_in(X11,c_insert(X11,X12,X13),X13)).
% 5.79/1.09 cnf(a10, assumption,
% 5.79/1.09 X6 = X11).
% 5.79/1.09 cnf(a11, assumption,
% 5.79/1.09 X9 = c_insert(X11,X12,X13)).
% 5.79/1.09 cnf(a12, assumption,
% 5.79/1.09 X10 = X13).
% 5.79/1.09 cnf(c16, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c14, c15])).
% 5.79/1.09 cnf(c17, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c14, c15])).
% 5.79/1.09
% 5.79/1.09 cnf(c18, plain,
% 5.79/1.09 ~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b)))).
% 5.79/1.09 cnf(a13, assumption,
% 5.79/1.09 X8 = v_S).
% 5.79/1.09 cnf(a14, assumption,
% 5.79/1.09 X9 = c_insert(X0,c_emptyset,tc_set(t_b))).
% 5.79/1.09 cnf(a15, assumption,
% 5.79/1.09 tc_set(X10) = tc_set(tc_set(t_b))).
% 5.79/1.09 cnf(c19, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(predicate_reduction, [assumptions([a13, a14, a15])], [c13, c18])).
% 5.79/1.09
% 5.79/1.09 cnf(c20, axiom,
% 5.79/1.09 c_lessequals(X14,X15,tc_set(X16)) | c_in(c_Main_OsubsetI__1(X14,X15,X16),X14,X16)).
% 5.79/1.09 cnf(a16, assumption,
% 5.79/1.09 X5 = X14).
% 5.79/1.09 cnf(a17, assumption,
% 5.79/1.09 X6 = X15).
% 5.79/1.09 cnf(a18, assumption,
% 5.79/1.09 tc_set(X7) = tc_set(X16)).
% 5.79/1.09 cnf(c21, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c20])).
% 5.79/1.09 cnf(c22, plain,
% 5.79/1.09 c_in(c_Main_OsubsetI__1(X14,X15,X16),X14,X16),
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c20])).
% 5.79/1.09
% 5.79/1.09 cnf(c23, axiom,
% 5.79/1.09 c_in(X17,c_Union(X18,X19),X19) | ~c_in(X20,X18,tc_set(X19)) | ~c_in(X17,X20,X19)).
% 5.79/1.09 cnf(a19, assumption,
% 5.79/1.09 c_Main_OsubsetI__1(X14,X15,X16) = X17).
% 5.79/1.09 cnf(a20, assumption,
% 5.79/1.09 X14 = X20).
% 5.79/1.09 cnf(a21, assumption,
% 5.79/1.09 X16 = X19).
% 5.79/1.09 cnf(c24, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c22, c23])).
% 5.79/1.09 cnf(c25, plain,
% 5.79/1.09 c_in(X17,c_Union(X18,X19),X19) | ~c_in(X20,X18,tc_set(X19)),
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c22, c23])).
% 5.79/1.09
% 5.79/1.09 cnf(c26, axiom,
% 5.79/1.09 c_lessequals(X21,X22,tc_set(X23)) | ~c_in(c_Main_OsubsetI__1(X21,X22,X23),X22,X23)).
% 5.79/1.09 cnf(a22, assumption,
% 5.79/1.09 X17 = c_Main_OsubsetI__1(X21,X22,X23)).
% 5.79/1.09 cnf(a23, assumption,
% 5.79/1.09 c_Union(X18,X19) = X22).
% 5.79/1.09 cnf(a24, assumption,
% 5.79/1.09 X19 = X23).
% 5.79/1.09 cnf(c27, plain,
% 5.79/1.09 ~c_in(X20,X18,tc_set(X19)),
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c25, c26])).
% 5.79/1.09 cnf(c28, plain,
% 5.79/1.09 c_lessequals(X21,X22,tc_set(X23)),
% 5.79/1.09 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c25, c26])).
% 5.79/1.09
% 5.79/1.09 cnf(c29, plain,
% 5.79/1.09 ~c_lessequals(X5,X6,tc_set(X7))).
% 5.79/1.09 cnf(a25, assumption,
% 5.79/1.09 X21 = X5).
% 5.79/1.09 cnf(a26, assumption,
% 5.79/1.09 X22 = X6).
% 5.79/1.09 cnf(a27, assumption,
% 5.79/1.09 tc_set(X23) = tc_set(X7)).
% 5.79/1.09 cnf(c30, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c28, c29])).
% 5.79/1.09
% 5.79/1.09 cnf(c31, plain,
% 5.79/1.09 c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)).
% 5.79/1.09 cnf(a28, assumption,
% 5.79/1.09 X20 = c_Main_OsubsetI__1(X1,X2,X3)).
% 5.79/1.09 cnf(a29, assumption,
% 5.79/1.09 X18 = X1).
% 5.79/1.09 cnf(a30, assumption,
% 5.79/1.09 tc_set(X19) = X3).
% 5.79/1.09 cnf(c32, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(predicate_reduction, [assumptions([a28, a29, a30])], [c27, c31])).
% 5.79/1.09
% 5.79/1.09 cnf(c33, plain,
% 5.79/1.09 $false,
% 5.79/1.09 inference(constraint_solving, [
% 5.79/1.09 bind(X0, c_Union(v_S,t_b)),
% 5.79/1.09 bind(X1, v_S),
% 5.79/1.09 bind(X2, c_insert(X0,c_emptyset,tc_set(t_b))),
% 5.79/1.09 bind(X3, tc_set(t_b)),
% 5.79/1.09 bind(X4, c_Main_OsubsetI__1(X1,X2,X3)),
% 5.79/1.09 bind(X5, c_Main_OsubsetI__1(X1,X2,X3)),
% 5.79/1.09 bind(X6, c_Union(v_S,t_b)),
% 5.79/1.09 bind(X7, t_b),
% 5.79/1.09 bind(X8, v_S),
% 5.79/1.09 bind(X9, c_insert(X0,c_emptyset,tc_set(t_b))),
% 5.79/1.09 bind(X10, tc_set(t_b)),
% 5.79/1.09 bind(X11, c_Union(v_S,t_b)),
% 5.79/1.09 bind(X12, c_emptyset),
% 5.79/1.09 bind(X13, tc_set(t_b)),
% 5.79/1.09 bind(X14, c_Main_OsubsetI__1(X1,X2,X3)),
% 5.79/1.09 bind(X15, c_Union(v_S,t_b)),
% 5.79/1.09 bind(X16, t_b),
% 5.79/1.09 bind(X17, c_Main_OsubsetI__1(X14,X15,X16)),
% 5.79/1.09 bind(X18, v_S),
% 5.79/1.09 bind(X19, t_b),
% 5.79/1.09 bind(X20, c_Main_OsubsetI__1(X1,X2,X3)),
% 5.79/1.09 bind(X21, c_Main_OsubsetI__1(X1,X2,X3)),
% 5.79/1.09 bind(X22, c_Union(v_S,t_b)),
% 5.79/1.09 bind(X23, t_b)
% 5.79/1.09 ],
% 5.79/1.09 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30])).
% 5.79/1.09
% 5.79/1.09 % SZS output end IncompleteProof
%------------------------------------------------------------------------------