TSTP Solution File: ANA043-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ANA043-2 : 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 : n024.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 19:08:50 EDT 2022
% Result : Unsatisfiable 1.78s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA043-2 : 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 : n024.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 : Fri Jul 8 06:53:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.78/0.55 % SZS status Unsatisfiable
% 1.78/0.55 % SZS output begin IncompleteProof
% 1.78/0.55 cnf(c0, axiom,
% 1.78/0.55 class_Ring__and__Field_Oordered__idom(t_b)).
% 1.78/0.55 cnf(c1, plain,
% 1.78/0.55 class_Ring__and__Field_Oordered__idom(t_b),
% 1.78/0.55 inference(start, [], [c0])).
% 1.78/0.55
% 1.78/0.55 cnf(c2, axiom,
% 1.78/0.55 class_OrderedGroup_Oab__semigroup__mult(X0) | ~class_Ring__and__Field_Oordered__idom(X0)).
% 1.78/0.55 cnf(a0, assumption,
% 1.78/0.55 t_b = X0).
% 1.78/0.55 cnf(c3, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 1.78/0.55 cnf(c4, plain,
% 1.78/0.55 class_OrderedGroup_Oab__semigroup__mult(X0),
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 1.78/0.55
% 1.78/0.55 cnf(c5, axiom,
% 1.78/0.55 c_times(X1,c_times(X2,X3,X4),X4) = c_times(X2,c_times(X1,X3,X4),X4) | ~class_OrderedGroup_Oab__semigroup__mult(X4)).
% 1.78/0.55 cnf(a1, assumption,
% 1.78/0.55 X0 = X4).
% 1.78/0.55 cnf(c6, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 1.78/0.55 cnf(c7, plain,
% 1.78/0.55 c_times(X1,c_times(X2,X3,X4),X4) = c_times(X2,c_times(X1,X3,X4),X4),
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 1.78/0.55
% 1.78/0.55 cnf(c8, axiom,
% 1.78/0.55 c_lessequals(c_times(X5,X6,X7),c_times(X5,X8,X7),X7) | ~c_lessequals(c_0,X5,X7) | ~c_lessequals(X6,X8,X7) | ~class_Ring__and__Field_Opordered__semiring(X7)).
% 1.78/0.55 cnf(a2, assumption,
% 1.78/0.55 c_times(X5,X8,X7) = c_times(X1,c_times(X2,X3,X4),X4)).
% 1.78/0.55 cnf(a3, assumption,
% 1.78/0.55 c_times(X2,c_times(X1,X3,X4),X4) = X9).
% 1.78/0.55 cnf(c9, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 1.78/0.55 cnf(c10, plain,
% 1.78/0.55 ~c_lessequals(c_0,X5,X7) | ~c_lessequals(X6,X8,X7) | ~class_Ring__and__Field_Opordered__semiring(X7),
% 1.78/0.55 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 1.78/0.55 cnf(c11, plain,
% 1.78/0.55 c_lessequals(c_times(X5,X6,X7),X9,X7),
% 1.78/0.55 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 1.78/0.55
% 1.78/0.55 cnf(c12, axiom,
% 1.78/0.55 ~c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X10),v_xa(X10))),t_b),t_b),c_times(X10,c_times(c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X10),v_xa(X10))),t_b),t_b),t_b),t_b)).
% 1.78/0.55 cnf(a4, assumption,
% 1.78/0.55 c_times(X5,X6,X7) = c_times(c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X10),v_xa(X10))),t_b),t_b)).
% 1.78/0.55 cnf(a5, assumption,
% 1.78/0.55 X9 = c_times(X10,c_times(c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X10),v_xa(X10))),t_b),t_b),t_b)).
% 1.78/0.55 cnf(a6, assumption,
% 1.78/0.55 X7 = t_b).
% 1.78/0.55 cnf(c13, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])).
% 1.78/0.55 cnf(c14, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])).
% 1.78/0.55
% 1.78/0.55 cnf(c15, axiom,
% 1.78/0.55 c_lessequals(c_0,c_HOL_Oabs(X11,X12),X12) | ~class_OrderedGroup_Olordered__ab__group__abs(X12)).
% 1.78/0.55 cnf(a7, assumption,
% 1.78/0.55 c_0 = c_0).
% 1.78/0.55 cnf(a8, assumption,
% 1.78/0.55 X5 = c_HOL_Oabs(X11,X12)).
% 1.78/0.55 cnf(a9, assumption,
% 1.78/0.55 X7 = X12).
% 1.78/0.55 cnf(c16, plain,
% 1.78/0.55 ~c_lessequals(X6,X8,X7) | ~class_Ring__and__Field_Opordered__semiring(X7),
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c10, c15])).
% 1.78/0.55 cnf(c17, plain,
% 1.78/0.55 ~class_OrderedGroup_Olordered__ab__group__abs(X12),
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c10, c15])).
% 1.78/0.55
% 1.78/0.55 cnf(c18, axiom,
% 1.78/0.55 class_OrderedGroup_Olordered__ab__group__abs(X13) | ~class_Ring__and__Field_Oordered__idom(X13)).
% 1.78/0.55 cnf(a10, assumption,
% 1.78/0.55 X12 = X13).
% 1.78/0.55 cnf(c19, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a10])], [c17, c18])).
% 1.78/0.55 cnf(c20, plain,
% 1.78/0.55 ~class_Ring__and__Field_Oordered__idom(X13),
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a10])], [c17, c18])).
% 1.78/0.55
% 1.78/0.55 cnf(c21, plain,
% 1.78/0.55 class_Ring__and__Field_Oordered__idom(t_b)).
% 1.78/0.55 cnf(a11, assumption,
% 1.78/0.55 X13 = t_b).
% 1.78/0.55 cnf(c22, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(predicate_reduction, [assumptions([a11])], [c20, c21])).
% 1.78/0.55
% 1.78/0.55 cnf(c23, axiom,
% 1.78/0.55 c_lessequals(c_HOL_Oabs(v_f(X14),t_b),c_times(v_c,c_HOL_Oabs(v_h(X14),t_b),t_b),t_b)).
% 1.78/0.55 cnf(a12, assumption,
% 1.78/0.55 X6 = c_HOL_Oabs(v_f(X14),t_b)).
% 1.78/0.55 cnf(a13, assumption,
% 1.78/0.55 X8 = c_times(v_c,c_HOL_Oabs(v_h(X14),t_b),t_b)).
% 1.78/0.55 cnf(a14, assumption,
% 1.78/0.55 X7 = t_b).
% 1.78/0.55 cnf(c24, plain,
% 1.78/0.55 ~class_Ring__and__Field_Opordered__semiring(X7),
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c23])).
% 1.78/0.55 cnf(c25, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c23])).
% 1.78/0.55
% 1.78/0.55 cnf(c26, axiom,
% 1.78/0.55 class_Ring__and__Field_Opordered__semiring(X15) | ~class_Ring__and__Field_Oordered__idom(X15)).
% 1.78/0.55 cnf(a15, assumption,
% 1.78/0.55 X7 = X15).
% 1.78/0.55 cnf(c27, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a15])], [c24, c26])).
% 1.78/0.55 cnf(c28, plain,
% 1.78/0.55 ~class_Ring__and__Field_Oordered__idom(X15),
% 1.78/0.55 inference(strict_predicate_extension, [assumptions([a15])], [c24, c26])).
% 1.78/0.55
% 1.78/0.55 cnf(c29, plain,
% 1.78/0.55 class_Ring__and__Field_Oordered__idom(t_b)).
% 1.78/0.55 cnf(a16, assumption,
% 1.78/0.55 X15 = t_b).
% 1.78/0.55 cnf(c30, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(predicate_reduction, [assumptions([a16])], [c28, c29])).
% 1.78/0.55
% 1.78/0.55 cnf(c31, plain,
% 1.78/0.55 $false,
% 1.78/0.55 inference(constraint_solving, [
% 1.78/0.55 bind(X0, t_b),
% 1.78/0.55 bind(X1, c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b)),
% 1.78/0.55 bind(X2, v_c),
% 1.78/0.55 bind(X3, c_HOL_Oabs(v_h(v_k(v_x(X10),v_xa(X10))),t_b)),
% 1.78/0.55 bind(X4, t_b),
% 1.78/0.55 bind(X5, c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b)),
% 1.78/0.55 bind(X6, c_HOL_Oabs(v_f(v_k(v_x(X10),v_xa(X10))),t_b)),
% 1.78/0.55 bind(X7, t_b),
% 1.78/0.55 bind(X8, c_times(X2,X3,X4)),
% 1.78/0.55 bind(X9, c_times(X2,c_times(X1,X3,X4),X4)),
% 1.78/0.55 bind(X10, v_c),
% 1.78/0.55 bind(X11, v_l(v_x(X10),v_xa(X10))),
% 1.78/0.55 bind(X12, t_b),
% 1.78/0.55 bind(X13, t_b),
% 1.78/0.55 bind(X14, v_k(v_x(X10),v_xa(X10))),
% 1.78/0.55 bind(X15, t_b)
% 1.78/0.55 ],
% 1.78/0.55 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])).
% 1.78/0.55
% 1.78/0.55 % SZS output end IncompleteProof
%------------------------------------------------------------------------------