TSTP Solution File: ANA018-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ANA018-2 : 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 : n018.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 19:08:33 EDT 2022
% Result : Unsatisfiable 2.90s 0.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ANA018-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 03:00:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.90/0.75 % SZS status Unsatisfiable
% 2.90/0.75 % SZS output begin IncompleteProof
% 2.90/0.75 cnf(c0, axiom,
% 2.90/0.75 class_Ring__and__Field_Oordered__idom(t_b)).
% 2.90/0.75 cnf(c1, plain,
% 2.90/0.75 class_Ring__and__Field_Oordered__idom(t_b),
% 2.90/0.75 inference(start, [], [c0])).
% 2.90/0.75
% 2.90/0.75 cnf(c2, axiom,
% 2.90/0.75 class_OrderedGroup_Osemigroup__mult(X0) | ~class_Ring__and__Field_Oordered__idom(X0)).
% 2.90/0.75 cnf(a0, assumption,
% 2.90/0.75 t_b = X0).
% 2.90/0.75 cnf(c3, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 2.90/0.75 cnf(c4, plain,
% 2.90/0.75 class_OrderedGroup_Osemigroup__mult(X0),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 2.90/0.75
% 2.90/0.75 cnf(c5, axiom,
% 2.90/0.75 c_times(c_times(X1,X2,X3),X4,X3) = c_times(X1,c_times(X2,X4,X3),X3) | ~class_OrderedGroup_Osemigroup__mult(X3)).
% 2.90/0.75 cnf(a1, assumption,
% 2.90/0.75 X0 = X3).
% 2.90/0.75 cnf(c6, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 2.90/0.75 cnf(c7, plain,
% 2.90/0.75 c_times(c_times(X1,X2,X3),X4,X3) = c_times(X1,c_times(X2,X4,X3),X3),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 2.90/0.75
% 2.90/0.75 cnf(c8, axiom,
% 2.90/0.75 ~c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b)).
% 2.90/0.75 cnf(a2, assumption,
% 2.90/0.75 c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b) = c_times(c_times(X1,X2,X3),X4,X3)).
% 2.90/0.75 cnf(a3, assumption,
% 2.90/0.75 c_times(X1,c_times(X2,X4,X3),X3) = X5).
% 2.90/0.75 cnf(c9, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 2.90/0.75 cnf(c10, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 2.90/0.75 cnf(c11, plain,
% 2.90/0.75 ~c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),X5,t_b),
% 2.90/0.75 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 2.90/0.75
% 2.90/0.75 cnf(c12, axiom,
% 2.90/0.75 c_lessequals(X6,X7,X8) | ~c_lessequals(X6,X9,X8) | ~c_lessequals(X9,X7,X8) | ~class_Orderings_Oorder(X8)).
% 2.90/0.75 cnf(a4, assumption,
% 2.90/0.75 c_HOL_Oabs(v_x(v_xa),t_b) = X6).
% 2.90/0.75 cnf(a5, assumption,
% 2.90/0.75 X5 = X7).
% 2.90/0.75 cnf(a6, assumption,
% 2.90/0.75 t_b = X8).
% 2.90/0.75 cnf(c13, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])).
% 2.90/0.75 cnf(c14, plain,
% 2.90/0.75 ~c_lessequals(X6,X9,X8) | ~c_lessequals(X9,X7,X8) | ~class_Orderings_Oorder(X8),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])).
% 2.90/0.75
% 2.90/0.75 cnf(c15, axiom,
% 2.90/0.75 c_lessequals(c_HOL_Oabs(v_x(X10),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X10),t_b),t_b),t_b)).
% 2.90/0.75 cnf(a7, assumption,
% 2.90/0.75 X6 = c_HOL_Oabs(v_x(X10),t_b)).
% 2.90/0.75 cnf(a8, assumption,
% 2.90/0.75 X9 = c_times(v_ca,c_HOL_Oabs(v_f(X10),t_b),t_b)).
% 2.90/0.75 cnf(a9, assumption,
% 2.90/0.75 X8 = t_b).
% 2.90/0.75 cnf(c16, plain,
% 2.90/0.75 ~c_lessequals(X9,X7,X8) | ~class_Orderings_Oorder(X8),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c14, c15])).
% 2.90/0.75 cnf(c17, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c14, c15])).
% 2.90/0.75
% 2.90/0.75 cnf(c18, axiom,
% 2.90/0.75 c_lessequals(c_times(X11,X12,X13),c_times(X11,X14,X13),X13) | ~c_lessequals(c_0,X11,X13) | ~c_lessequals(X12,X14,X13) | ~class_Ring__and__Field_Opordered__semiring(X13)).
% 2.90/0.75 cnf(a10, assumption,
% 2.90/0.75 X9 = c_times(X11,X12,X13)).
% 2.90/0.75 cnf(a11, assumption,
% 2.90/0.75 X7 = c_times(X11,X14,X13)).
% 2.90/0.75 cnf(a12, assumption,
% 2.90/0.75 X8 = X13).
% 2.90/0.75 cnf(c19, plain,
% 2.90/0.75 ~class_Orderings_Oorder(X8),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c16, c18])).
% 2.90/0.75 cnf(c20, plain,
% 2.90/0.75 ~c_lessequals(c_0,X11,X13) | ~c_lessequals(X12,X14,X13) | ~class_Ring__and__Field_Opordered__semiring(X13),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c16, c18])).
% 2.90/0.75
% 2.90/0.75 cnf(c21, axiom,
% 2.90/0.75 c_lessequals(X15,X16,X17) | ~c_less(X15,X16,X17) | ~class_Orderings_Oorder(X17)).
% 2.90/0.75 cnf(a13, assumption,
% 2.90/0.75 c_0 = X15).
% 2.90/0.75 cnf(a14, assumption,
% 2.90/0.75 X11 = X16).
% 2.90/0.75 cnf(a15, assumption,
% 2.90/0.75 X13 = X17).
% 2.90/0.75 cnf(c22, plain,
% 2.90/0.75 ~c_lessequals(X12,X14,X13) | ~class_Ring__and__Field_Opordered__semiring(X13),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c20, c21])).
% 2.90/0.75 cnf(c23, plain,
% 2.90/0.75 ~c_less(X15,X16,X17) | ~class_Orderings_Oorder(X17),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c20, c21])).
% 2.90/0.75
% 2.90/0.75 cnf(c24, axiom,
% 2.90/0.75 c_less(c_0,v_ca,t_b)).
% 2.90/0.75 cnf(a16, assumption,
% 2.90/0.75 X15 = c_0).
% 2.90/0.75 cnf(a17, assumption,
% 2.90/0.75 X16 = v_ca).
% 2.90/0.75 cnf(a18, assumption,
% 2.90/0.75 X17 = t_b).
% 2.90/0.75 cnf(c25, plain,
% 2.90/0.75 ~class_Orderings_Oorder(X17),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c23, c24])).
% 2.90/0.75 cnf(c26, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c23, c24])).
% 2.90/0.75
% 2.90/0.75 cnf(c27, axiom,
% 2.90/0.75 class_Orderings_Oorder(X18) | ~class_LOrder_Ojoin__semilorder(X18)).
% 2.90/0.75 cnf(a19, assumption,
% 2.90/0.75 X17 = X18).
% 2.90/0.75 cnf(c28, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a19])], [c25, c27])).
% 2.90/0.75 cnf(c29, plain,
% 2.90/0.75 ~class_LOrder_Ojoin__semilorder(X18),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a19])], [c25, c27])).
% 2.90/0.75
% 2.90/0.75 cnf(c30, axiom,
% 2.90/0.75 class_LOrder_Ojoin__semilorder(X19) | ~class_Ring__and__Field_Oordered__idom(X19)).
% 2.90/0.75 cnf(a20, assumption,
% 2.90/0.75 X18 = X19).
% 2.90/0.75 cnf(c31, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a20])], [c29, c30])).
% 2.90/0.75 cnf(c32, plain,
% 2.90/0.75 ~class_Ring__and__Field_Oordered__idom(X19),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a20])], [c29, c30])).
% 2.90/0.75
% 2.90/0.75 cnf(c33, plain,
% 2.90/0.75 class_Ring__and__Field_Oordered__idom(t_b)).
% 2.90/0.75 cnf(a21, assumption,
% 2.90/0.75 X19 = t_b).
% 2.90/0.75 cnf(c34, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(predicate_reduction, [assumptions([a21])], [c32, c33])).
% 2.90/0.75
% 2.90/0.75 cnf(c35, axiom,
% 2.90/0.75 c_lessequals(c_HOL_Oabs(v_f(X20),t_b),c_times(v_c,c_HOL_Oabs(v_g(X20),t_b),t_b),t_b)).
% 2.90/0.75 cnf(a22, assumption,
% 2.90/0.75 X12 = c_HOL_Oabs(v_f(X20),t_b)).
% 2.90/0.75 cnf(a23, assumption,
% 2.90/0.75 X14 = c_times(v_c,c_HOL_Oabs(v_g(X20),t_b),t_b)).
% 2.90/0.75 cnf(a24, assumption,
% 2.90/0.75 X13 = t_b).
% 2.90/0.75 cnf(c36, plain,
% 2.90/0.75 ~class_Ring__and__Field_Opordered__semiring(X13),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c22, c35])).
% 2.90/0.75 cnf(c37, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c22, c35])).
% 2.90/0.75
% 2.90/0.75 cnf(c38, axiom,
% 2.90/0.75 class_Ring__and__Field_Opordered__semiring(X21) | ~class_Ring__and__Field_Oordered__idom(X21)).
% 2.90/0.75 cnf(a25, assumption,
% 2.90/0.75 X13 = X21).
% 2.90/0.75 cnf(c39, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a25])], [c36, c38])).
% 2.90/0.75 cnf(c40, plain,
% 2.90/0.75 ~class_Ring__and__Field_Oordered__idom(X21),
% 2.90/0.75 inference(strict_predicate_extension, [assumptions([a25])], [c36, c38])).
% 2.90/0.75
% 2.90/0.75 cnf(c41, plain,
% 2.90/0.75 class_Ring__and__Field_Oordered__idom(t_b)).
% 2.90/0.75 cnf(a26, assumption,
% 2.90/0.75 X21 = t_b).
% 2.90/0.75 cnf(c42, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(predicate_reduction, [assumptions([a26])], [c40, c41])).
% 2.90/0.75
% 2.90/0.75 cnf(c43, plain,
% 2.90/0.75 class_Orderings_Oorder(X17)).
% 2.90/0.75 cnf(a27, assumption,
% 2.90/0.75 X8 = X17).
% 2.90/0.75 cnf(c44, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(predicate_reduction, [assumptions([a27])], [c19, c43])).
% 2.90/0.75
% 2.90/0.75 cnf(c45, plain,
% 2.90/0.75 $false,
% 2.90/0.75 inference(constraint_solving, [
% 2.90/0.75 bind(X0, t_b),
% 2.90/0.75 bind(X1, v_ca),
% 2.90/0.75 bind(X2, v_c),
% 2.90/0.75 bind(X3, t_b),
% 2.90/0.75 bind(X4, c_HOL_Oabs(v_g(v_xa),t_b)),
% 2.90/0.75 bind(X5, c_times(X1,c_times(X2,X4,X3),X3)),
% 2.90/0.75 bind(X6, c_HOL_Oabs(v_x(v_xa),t_b)),
% 2.90/0.75 bind(X7, c_times(X1,c_times(X2,X4,X3),X3)),
% 2.90/0.75 bind(X8, t_b),
% 2.90/0.75 bind(X9, c_times(v_ca,c_HOL_Oabs(v_f(X10),t_b),t_b)),
% 2.90/0.75 bind(X10, v_xa),
% 2.90/0.75 bind(X11, v_ca),
% 2.90/0.75 bind(X12, c_HOL_Oabs(v_f(X10),t_b)),
% 2.90/0.75 bind(X13, t_b),
% 2.90/0.75 bind(X14, c_times(X2,X4,X3)),
% 2.90/0.75 bind(X15, c_0),
% 2.90/0.75 bind(X16, v_ca),
% 2.90/0.75 bind(X17, t_b),
% 2.90/0.75 bind(X18, t_b),
% 2.90/0.75 bind(X19, t_b),
% 2.90/0.75 bind(X20, v_xa),
% 2.90/0.75 bind(X21, t_b)
% 2.90/0.75 ],
% 2.90/0.75 [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])).
% 2.90/0.75
% 2.90/0.75 % SZS output end IncompleteProof
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