TSTP Solution File: SET821-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET821-2 : 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 : n025.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 02:48:20 EDT 2022
% Result : Unsatisfiable 26.19s 3.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET821-2 : 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 : n025.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 : Mon Jul 11 02:29:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 26.19/3.73 % SZS status Unsatisfiable
% 26.19/3.73 % SZS output begin IncompleteProof
% 26.19/3.73 cnf(c0, axiom,
% 26.19/3.73 c_less(v_b,v_c,tc_IntDef_Oint)).
% 26.19/3.73 cnf(c1, plain,
% 26.19/3.73 c_less(v_b,v_c,tc_IntDef_Oint),
% 26.19/3.73 inference(start, [], [c0])).
% 26.19/3.73
% 26.19/3.73 cnf(c2, axiom,
% 26.19/3.73 X0 = X1 | c_in(X0,X2,X3) | ~c_in(X0,c_insert(X1,X2,X3),X3)).
% 26.19/3.73 cnf(a0, assumption,
% 26.19/3.73 v_c = X0).
% 26.19/3.73 cnf(c3, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 26.19/3.73 cnf(c4, plain,
% 26.19/3.73 c_in(X0,X2,X3) | ~c_in(X0,c_insert(X1,X2,X3),X3),
% 26.19/3.73 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 26.19/3.73 cnf(c5, plain,
% 26.19/3.73 X1 != X4 | c_less(v_b,X4,tc_IntDef_Oint),
% 26.19/3.73 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 26.19/3.73
% 26.19/3.73 cnf(a1, assumption,
% 26.19/3.73 X1 = X4).
% 26.19/3.73 cnf(c6, plain,
% 26.19/3.73 c_less(v_b,X4,tc_IntDef_Oint),
% 26.19/3.73 inference(reflexivity, [assumptions([a1])], [c5])).
% 26.19/3.73
% 26.19/3.73 cnf(c7, axiom,
% 26.19/3.73 ~c_less(X5,X5,X6) | ~class_Orderings_Oorder(X6)).
% 26.19/3.73 cnf(a2, assumption,
% 26.19/3.73 v_b = X5).
% 26.19/3.73 cnf(a3, assumption,
% 26.19/3.73 X4 = X5).
% 26.19/3.73 cnf(a4, assumption,
% 26.19/3.73 tc_IntDef_Oint = X6).
% 26.19/3.73 cnf(c8, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c7])).
% 26.19/3.73 cnf(c9, plain,
% 26.19/3.73 ~class_Orderings_Oorder(X6),
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c7])).
% 26.19/3.73
% 26.19/3.73 cnf(c10, axiom,
% 26.19/3.73 class_Orderings_Oorder(tc_IntDef_Oint)).
% 26.19/3.73 cnf(a5, assumption,
% 26.19/3.73 X6 = tc_IntDef_Oint).
% 26.19/3.73 cnf(c11, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a5])], [c9, c10])).
% 26.19/3.73 cnf(c12, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a5])], [c9, c10])).
% 26.19/3.73
% 26.19/3.73 cnf(c13, axiom,
% 26.19/3.73 ~c_in(X7,c_uminus(X8,tc_set(X9)),X9) | ~c_in(X7,X8,X9)).
% 26.19/3.73 cnf(a6, assumption,
% 26.19/3.73 X0 = X7).
% 26.19/3.73 cnf(a7, assumption,
% 26.19/3.73 X2 = c_uminus(X8,tc_set(X9))).
% 26.19/3.73 cnf(a8, assumption,
% 26.19/3.73 X3 = X9).
% 26.19/3.73 cnf(c14, plain,
% 26.19/3.73 ~c_in(X0,c_insert(X1,X2,X3),X3),
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c4, c13])).
% 26.19/3.73 cnf(c15, plain,
% 26.19/3.73 ~c_in(X7,X8,X9),
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c4, c13])).
% 26.19/3.73
% 26.19/3.73 cnf(c16, axiom,
% 26.19/3.73 c_in(X10,c_insert(X10,X11,X12),X12)).
% 26.19/3.73 cnf(a9, assumption,
% 26.19/3.73 X7 = X10).
% 26.19/3.73 cnf(a10, assumption,
% 26.19/3.73 X8 = c_insert(X10,X11,X12)).
% 26.19/3.73 cnf(a11, assumption,
% 26.19/3.73 X9 = X12).
% 26.19/3.73 cnf(c17, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c15, c16])).
% 26.19/3.73 cnf(c18, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c15, c16])).
% 26.19/3.73
% 26.19/3.73 cnf(c19, axiom,
% 26.19/3.73 c_in(v_a,X13,tc_IntDef_Oint) | ~c_in(v_b,X13,tc_IntDef_Oint) | c_in(v_c,X13,tc_IntDef_Oint)).
% 26.19/3.73 cnf(a12, assumption,
% 26.19/3.73 X0 = v_c).
% 26.19/3.73 cnf(a13, assumption,
% 26.19/3.73 c_insert(X1,X2,X3) = X13).
% 26.19/3.73 cnf(a14, assumption,
% 26.19/3.73 X3 = tc_IntDef_Oint).
% 26.19/3.73 cnf(c20, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c14, c19])).
% 26.19/3.73 cnf(c21, plain,
% 26.19/3.73 c_in(v_a,X13,tc_IntDef_Oint) | ~c_in(v_b,X13,tc_IntDef_Oint),
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c14, c19])).
% 26.19/3.73
% 26.19/3.73 cnf(c22, axiom,
% 26.19/3.73 X14 = X15 | c_in(X14,X16,X17) | ~c_in(X14,c_insert(X15,X16,X17),X17)).
% 26.19/3.73 cnf(a15, assumption,
% 26.19/3.73 v_a = X14).
% 26.19/3.73 cnf(a16, assumption,
% 26.19/3.73 X13 = c_insert(X15,X16,X17)).
% 26.19/3.73 cnf(a17, assumption,
% 26.19/3.73 tc_IntDef_Oint = X17).
% 26.19/3.73 cnf(c23, plain,
% 26.19/3.73 ~c_in(v_b,X13,tc_IntDef_Oint),
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c22])).
% 26.19/3.73 cnf(c24, plain,
% 26.19/3.73 X14 = X15 | c_in(X14,X16,X17),
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c22])).
% 26.19/3.73
% 26.19/3.73 cnf(c25, plain,
% 26.19/3.73 ~c_less(v_b,X4,tc_IntDef_Oint)).
% 26.19/3.73 cnf(a18, assumption,
% 26.19/3.73 v_b = X15).
% 26.19/3.73 cnf(c26, plain,
% 26.19/3.73 c_in(X14,X16,X17),
% 26.19/3.73 inference(subterm_reduction, [assumptions([a18])], [c24, c25])).
% 26.19/3.73 cnf(c27, plain,
% 26.19/3.73 ~c_less(X14,X4,tc_IntDef_Oint),
% 26.19/3.73 inference(subterm_reduction, [assumptions([a18])], [c24, c25])).
% 26.19/3.73
% 26.19/3.73 cnf(c28, axiom,
% 26.19/3.73 c_less(v_a,v_b,tc_IntDef_Oint)).
% 26.19/3.73 cnf(a19, assumption,
% 26.19/3.73 X14 = v_a).
% 26.19/3.73 cnf(a20, assumption,
% 26.19/3.73 X4 = v_b).
% 26.19/3.73 cnf(a21, assumption,
% 26.19/3.73 tc_IntDef_Oint = tc_IntDef_Oint).
% 26.19/3.73 cnf(c29, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c27, c28])).
% 26.19/3.73 cnf(c30, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c27, c28])).
% 26.19/3.73
% 26.19/3.73 cnf(c31, axiom,
% 26.19/3.73 ~c_in(X18,c_uminus(X19,tc_set(X20)),X20) | ~c_in(X18,X19,X20)).
% 26.19/3.73 cnf(a22, assumption,
% 26.19/3.73 X14 = X18).
% 26.19/3.73 cnf(a23, assumption,
% 26.19/3.73 X16 = c_uminus(X19,tc_set(X20))).
% 26.19/3.73 cnf(a24, assumption,
% 26.19/3.73 X17 = X20).
% 26.19/3.73 cnf(c32, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c26, c31])).
% 26.19/3.73 cnf(c33, plain,
% 26.19/3.73 ~c_in(X18,X19,X20),
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c26, c31])).
% 26.19/3.73
% 26.19/3.73 cnf(c34, axiom,
% 26.19/3.73 c_in(X21,c_insert(X22,X23,X24),X24) | ~c_in(X21,X23,X24)).
% 26.19/3.73 cnf(a25, assumption,
% 26.19/3.73 X18 = X21).
% 26.19/3.73 cnf(a26, assumption,
% 26.19/3.73 X19 = c_insert(X22,X23,X24)).
% 26.19/3.73 cnf(a27, assumption,
% 26.19/3.73 X20 = X24).
% 26.19/3.73 cnf(c35, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c33, c34])).
% 26.19/3.73 cnf(c36, plain,
% 26.19/3.73 ~c_in(X21,X23,X24),
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c33, c34])).
% 26.19/3.73
% 26.19/3.73 cnf(c37, axiom,
% 26.19/3.73 c_in(X25,c_insert(X25,X26,X27),X27)).
% 26.19/3.73 cnf(a28, assumption,
% 26.19/3.73 X21 = X25).
% 26.19/3.73 cnf(a29, assumption,
% 26.19/3.73 X23 = c_insert(X25,X26,X27)).
% 26.19/3.73 cnf(a30, assumption,
% 26.19/3.73 X24 = X27).
% 26.19/3.73 cnf(c38, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a28, a29, a30])], [c36, c37])).
% 26.19/3.73 cnf(c39, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a28, a29, a30])], [c36, c37])).
% 26.19/3.73
% 26.19/3.73 cnf(c40, axiom,
% 26.19/3.73 c_in(X28,c_insert(X28,X29,X30),X30)).
% 26.19/3.73 cnf(a31, assumption,
% 26.19/3.73 v_b = X28).
% 26.19/3.73 cnf(a32, assumption,
% 26.19/3.73 X13 = c_insert(X28,X29,X30)).
% 26.19/3.73 cnf(a33, assumption,
% 26.19/3.73 tc_IntDef_Oint = X30).
% 26.19/3.73 cnf(c41, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a31, a32, a33])], [c23, c40])).
% 26.19/3.73 cnf(c42, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(strict_predicate_extension, [assumptions([a31, a32, a33])], [c23, c40])).
% 26.19/3.73
% 26.19/3.73 cnf(c43, plain,
% 26.19/3.73 $false,
% 26.19/3.73 inference(constraint_solving, [
% 26.19/3.73 bind(X0, v_c),
% 26.19/3.73 bind(X1, v_b),
% 26.19/3.73 bind(X2, c_uminus(X8,tc_set(X9))),
% 26.19/3.73 bind(X3, tc_IntDef_Oint),
% 26.19/3.73 bind(X4, v_b),
% 26.19/3.73 bind(X5, v_b),
% 26.19/3.73 bind(X6, tc_IntDef_Oint),
% 26.19/3.73 bind(X7, v_c),
% 26.19/3.73 bind(X8, c_insert(X10,X11,X12)),
% 26.19/3.73 bind(X9, tc_IntDef_Oint),
% 26.19/3.73 bind(X10, v_c),
% 26.19/3.73 bind(X11, c_insert(X25,X26,X27)),
% 26.19/3.73 bind(X12, tc_IntDef_Oint),
% 26.19/3.73 bind(X13, c_insert(X1,X2,X3)),
% 26.19/3.73 bind(X14, v_a),
% 26.19/3.73 bind(X15, v_b),
% 26.19/3.73 bind(X16, c_uminus(X8,tc_set(X9))),
% 26.19/3.73 bind(X17, tc_IntDef_Oint),
% 26.19/3.73 bind(X18, v_a),
% 26.19/3.73 bind(X19, c_insert(X10,X11,X12)),
% 26.19/3.73 bind(X20, tc_IntDef_Oint),
% 26.19/3.73 bind(X21, v_a),
% 26.19/3.73 bind(X22, v_c),
% 26.19/3.73 bind(X23, c_insert(X25,X26,X27)),
% 26.19/3.73 bind(X24, tc_IntDef_Oint),
% 26.19/3.73 bind(X25, v_a),
% 26.19/3.73 bind(X26, X26),
% 26.19/3.73 bind(X27, tc_IntDef_Oint),
% 26.19/3.73 bind(X28, v_b),
% 26.19/3.73 bind(X29, c_uminus(X8,tc_set(X9))),
% 26.19/3.73 bind(X30, tc_IntDef_Oint)
% 26.19/3.73 ],
% 26.19/3.73 [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, a31, a32, a33])).
% 26.19/3.73
% 26.19/3.73 % SZS output end IncompleteProof
%------------------------------------------------------------------------------