TSTP Solution File: ANA025-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ANA025-2 : 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 : n027.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 : Thu Jul 14 19:08:39 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 06:52:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output begin IncompleteProof
% 0.12/0.37 cnf(c0, axiom,
% 0.12/0.37 class_Ring__and__Field_Oordered__idom(t_b)).
% 0.12/0.37 cnf(c1, plain,
% 0.12/0.37 class_Ring__and__Field_Oordered__idom(t_b),
% 0.12/0.37 inference(start, [], [c0])).
% 0.12/0.37
% 0.12/0.37 cnf(c2, axiom,
% 0.12/0.37 class_OrderedGroup_Olordered__ab__group__abs(X0) | ~class_Ring__and__Field_Oordered__idom(X0)).
% 0.12/0.37 cnf(a0, assumption,
% 0.12/0.37 t_b = X0).
% 0.12/0.37 cnf(c3, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.12/0.37 cnf(c4, plain,
% 0.12/0.37 class_OrderedGroup_Olordered__ab__group__abs(X0),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.12/0.37
% 0.12/0.37 cnf(c5, axiom,
% 0.12/0.37 class_LOrder_Ojoin__semilorder(X1) | ~class_OrderedGroup_Olordered__ab__group__abs(X1)).
% 0.12/0.37 cnf(a1, assumption,
% 0.12/0.37 X0 = X1).
% 0.12/0.37 cnf(c6, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.12/0.37 cnf(c7, plain,
% 0.12/0.37 class_LOrder_Ojoin__semilorder(X1),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.12/0.37
% 0.12/0.37 cnf(c8, axiom,
% 0.12/0.37 class_Orderings_Oorder(X2) | ~class_LOrder_Ojoin__semilorder(X2)).
% 0.12/0.37 cnf(a2, assumption,
% 0.12/0.37 X1 = X2).
% 0.12/0.37 cnf(c9, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.12/0.37 cnf(c10, plain,
% 0.12/0.37 class_Orderings_Oorder(X2),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.12/0.37
% 0.12/0.37 cnf(c11, axiom,
% 0.12/0.37 c_lessequals(X3,X4,X5) | ~c_less(X3,X4,X5) | ~class_Orderings_Oorder(X5)).
% 0.12/0.37 cnf(a3, assumption,
% 0.12/0.37 X2 = X5).
% 0.12/0.37 cnf(c12, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.12/0.37 cnf(c13, plain,
% 0.12/0.37 c_lessequals(X3,X4,X5) | ~c_less(X3,X4,X5),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.12/0.37
% 0.12/0.37 cnf(c14, axiom,
% 0.12/0.37 ~c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)).
% 0.12/0.37 cnf(a4, assumption,
% 0.12/0.37 X3 = c_0).
% 0.12/0.37 cnf(a5, assumption,
% 0.12/0.37 X4 = c_minus(v_k(v_x),v_g(v_x),t_b)).
% 0.12/0.37 cnf(a6, assumption,
% 0.12/0.37 X5 = t_b).
% 0.12/0.37 cnf(c15, plain,
% 0.12/0.37 ~c_less(X3,X4,X5),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c13, c14])).
% 0.12/0.37 cnf(c16, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c13, c14])).
% 0.12/0.37
% 0.12/0.37 cnf(c17, axiom,
% 0.12/0.37 c_lessequals(X6,X7,X8) | c_less(X7,X6,X8) | ~class_Orderings_Olinorder(X8)).
% 0.12/0.37 cnf(a7, assumption,
% 0.12/0.37 X3 = X7).
% 0.12/0.37 cnf(a8, assumption,
% 0.12/0.37 X4 = X6).
% 0.12/0.37 cnf(a9, assumption,
% 0.12/0.37 X5 = X8).
% 0.12/0.37 cnf(c18, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c15, c17])).
% 0.12/0.37 cnf(c19, plain,
% 0.12/0.37 c_lessequals(X6,X7,X8) | ~class_Orderings_Olinorder(X8),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c15, c17])).
% 0.12/0.37
% 0.12/0.37 cnf(c20, axiom,
% 0.12/0.37 c_lessequals(X9,X10,X11) | ~c_lessequals(X9,X12,X11) | ~c_lessequals(X12,X10,X11) | ~class_Orderings_Oorder(X11)).
% 0.12/0.37 cnf(a10, assumption,
% 0.12/0.37 X6 = X9).
% 0.12/0.37 cnf(a11, assumption,
% 0.12/0.37 X7 = X12).
% 0.12/0.37 cnf(a12, assumption,
% 0.12/0.37 X8 = X11).
% 0.12/0.37 cnf(c21, plain,
% 0.12/0.37 ~class_Orderings_Olinorder(X8),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c19, c20])).
% 0.12/0.37 cnf(c22, plain,
% 0.12/0.37 c_lessequals(X9,X10,X11) | ~c_lessequals(X12,X10,X11) | ~class_Orderings_Oorder(X11),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c19, c20])).
% 0.12/0.37
% 0.12/0.37 cnf(c23, axiom,
% 0.12/0.37 c_lessequals(c_Orderings_Omax(X13,X14,X15),X16,X15) | ~c_lessequals(X13,X16,X15) | ~c_lessequals(X14,X16,X15) | ~class_Orderings_Olinorder(X15)).
% 0.12/0.37 cnf(a13, assumption,
% 0.12/0.37 X9 = X13).
% 0.12/0.37 cnf(a14, assumption,
% 0.12/0.37 X10 = X16).
% 0.12/0.37 cnf(a15, assumption,
% 0.12/0.37 X11 = X15).
% 0.12/0.37 cnf(c24, plain,
% 0.12/0.37 ~c_lessequals(X12,X10,X11) | ~class_Orderings_Oorder(X11),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c22, c23])).
% 0.12/0.37 cnf(c25, plain,
% 0.12/0.37 c_lessequals(c_Orderings_Omax(X13,X14,X15),X16,X15) | ~c_lessequals(X14,X16,X15) | ~class_Orderings_Olinorder(X15),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c22, c23])).
% 0.12/0.37
% 0.12/0.37 cnf(c26, axiom,
% 0.12/0.37 ~c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)).
% 0.12/0.37 cnf(a16, assumption,
% 0.12/0.37 c_Orderings_Omax(X13,X14,X15) = c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b)).
% 0.12/0.37 cnf(a17, assumption,
% 0.12/0.37 X16 = c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)).
% 0.12/0.37 cnf(a18, assumption,
% 0.12/0.37 X15 = t_b).
% 0.12/0.37 cnf(c27, plain,
% 0.12/0.37 ~c_lessequals(X14,X16,X15) | ~class_Orderings_Olinorder(X15),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c25, c26])).
% 0.12/0.37 cnf(c28, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c25, c26])).
% 0.12/0.37
% 0.12/0.37 cnf(c29, axiom,
% 0.12/0.37 c_lessequals(c_0,c_HOL_Oabs(X17,X18),X18) | ~class_OrderedGroup_Olordered__ab__group__abs(X18)).
% 0.12/0.37 cnf(a19, assumption,
% 0.12/0.37 X14 = c_0).
% 0.12/0.37 cnf(a20, assumption,
% 0.12/0.37 X16 = c_HOL_Oabs(X17,X18)).
% 0.12/0.37 cnf(a21, assumption,
% 0.12/0.37 X15 = X18).
% 0.12/0.37 cnf(c30, plain,
% 0.12/0.37 ~class_Orderings_Olinorder(X15),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c27, c29])).
% 0.12/0.37 cnf(c31, plain,
% 0.12/0.37 ~class_OrderedGroup_Olordered__ab__group__abs(X18),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c27, c29])).
% 0.12/0.37
% 0.12/0.37 cnf(c32, plain,
% 0.12/0.37 class_OrderedGroup_Olordered__ab__group__abs(X0)).
% 0.12/0.37 cnf(a22, assumption,
% 0.12/0.37 X18 = X0).
% 0.12/0.37 cnf(c33, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(predicate_reduction, [assumptions([a22])], [c31, c32])).
% 0.12/0.37
% 0.12/0.37 cnf(c34, axiom,
% 0.12/0.37 class_Orderings_Olinorder(X19) | ~class_Ring__and__Field_Oordered__idom(X19)).
% 0.12/0.37 cnf(a23, assumption,
% 0.12/0.37 X15 = X19).
% 0.12/0.37 cnf(c35, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a23])], [c30, c34])).
% 0.12/0.37 cnf(c36, plain,
% 0.12/0.37 ~class_Ring__and__Field_Oordered__idom(X19),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a23])], [c30, c34])).
% 0.12/0.37
% 0.12/0.37 cnf(c37, plain,
% 0.12/0.37 class_Ring__and__Field_Oordered__idom(t_b)).
% 0.12/0.37 cnf(a24, assumption,
% 0.12/0.37 X19 = t_b).
% 0.12/0.37 cnf(c38, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(predicate_reduction, [assumptions([a24])], [c36, c37])).
% 0.12/0.37
% 0.12/0.37 cnf(c39, plain,
% 0.12/0.37 c_lessequals(X14,X16,X15)).
% 0.12/0.37 cnf(a25, assumption,
% 0.12/0.37 X12 = X14).
% 0.12/0.37 cnf(a26, assumption,
% 0.12/0.37 X10 = X16).
% 0.12/0.37 cnf(a27, assumption,
% 0.12/0.37 X11 = X15).
% 0.12/0.37 cnf(c40, plain,
% 0.12/0.37 ~class_Orderings_Oorder(X11),
% 0.12/0.37 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c24, c39])).
% 0.12/0.37
% 0.12/0.37 cnf(c41, plain,
% 0.12/0.37 class_Orderings_Oorder(X2)).
% 0.12/0.37 cnf(a28, assumption,
% 0.12/0.37 X11 = X2).
% 0.12/0.37 cnf(c42, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(predicate_reduction, [assumptions([a28])], [c40, c41])).
% 0.12/0.37
% 0.12/0.37 cnf(c43, plain,
% 0.12/0.37 class_Orderings_Olinorder(X15)).
% 0.12/0.37 cnf(a29, assumption,
% 0.12/0.37 X8 = X15).
% 0.12/0.37 cnf(c44, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(predicate_reduction, [assumptions([a29])], [c21, c43])).
% 0.12/0.37
% 0.12/0.37 cnf(c45, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(constraint_solving, [
% 0.12/0.37 bind(X0, t_b),
% 0.12/0.37 bind(X1, t_b),
% 0.12/0.37 bind(X2, t_b),
% 0.12/0.37 bind(X3, c_0),
% 0.12/0.37 bind(X4, c_minus(v_k(v_x),v_g(v_x),t_b)),
% 0.12/0.37 bind(X5, t_b),
% 0.12/0.37 bind(X6, c_minus(v_k(v_x),v_g(v_x),t_b)),
% 0.12/0.37 bind(X7, c_0),
% 0.12/0.37 bind(X8, t_b),
% 0.12/0.37 bind(X9, c_minus(v_k(v_x),v_g(v_x),t_b)),
% 0.12/0.37 bind(X10, c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 0.12/0.37 bind(X11, t_b),
% 0.12/0.37 bind(X12, c_0),
% 0.12/0.37 bind(X13, c_minus(v_k(v_x),v_g(v_x),t_b)),
% 0.12/0.37 bind(X14, c_0),
% 0.12/0.37 bind(X15, t_b),
% 0.12/0.37 bind(X16, c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 0.12/0.37 bind(X17, c_minus(v_f(v_x),v_g(v_x),t_b)),
% 0.12/0.37 bind(X18, t_b),
% 0.12/0.37 bind(X19, t_b)
% 0.12/0.37 ],
% 0.12/0.37 [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])).
% 0.12/0.37
% 0.12/0.37 % SZS output end IncompleteProof
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