TSTP Solution File: ANA009-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ANA009-2 : 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 : Thu Jul 14 19:08:27 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 04:25:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % SZS status Unsatisfiable
% 0.13/0.35 % SZS output begin IncompleteProof
% 0.13/0.35 cnf(c0, axiom,
% 0.13/0.35 class_Ring__and__Field_Oordered__idom(t_b)).
% 0.13/0.35 cnf(c1, plain,
% 0.13/0.35 class_Ring__and__Field_Oordered__idom(t_b),
% 0.13/0.35 inference(start, [], [c0])).
% 0.13/0.35
% 0.13/0.35 cnf(c2, axiom,
% 0.13/0.35 class_OrderedGroup_Oab__group__add(X0) | ~class_Ring__and__Field_Oordered__idom(X0)).
% 0.13/0.35 cnf(a0, assumption,
% 0.13/0.35 t_b = X0).
% 0.13/0.35 cnf(c3, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.35 cnf(c4, plain,
% 0.13/0.35 class_OrderedGroup_Oab__group__add(X0),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.35
% 0.13/0.35 cnf(c5, axiom,
% 0.13/0.35 c_plus(X1,c_uminus(X1,X2),X2) = c_0 | ~class_OrderedGroup_Oab__group__add(X2)).
% 0.13/0.35 cnf(a1, assumption,
% 0.13/0.35 X0 = X2).
% 0.13/0.35 cnf(c6, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.13/0.35 cnf(c7, plain,
% 0.13/0.35 c_plus(X1,c_uminus(X1,X2),X2) = c_0,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.13/0.35
% 0.13/0.35 cnf(c8, axiom,
% 0.13/0.35 c_lessequals(c_plus(X3,X4,X5),c_plus(X6,X4,X5),X5) | ~c_lessequals(X3,X6,X5) | ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)).
% 0.13/0.35 cnf(a2, assumption,
% 0.13/0.35 c_plus(X3,X4,X5) = c_plus(X1,c_uminus(X1,X2),X2)).
% 0.13/0.35 cnf(a3, assumption,
% 0.13/0.35 c_0 = X7).
% 0.13/0.35 cnf(c9, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 0.13/0.35 cnf(c10, plain,
% 0.13/0.35 ~c_lessequals(X3,X6,X5) | ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5),
% 0.13/0.35 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 0.13/0.35 cnf(c11, plain,
% 0.13/0.35 c_lessequals(X7,c_plus(X6,X4,X5),X5),
% 0.13/0.35 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])).
% 0.13/0.35
% 0.13/0.35 cnf(c12, axiom,
% 0.13/0.35 ~c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b)).
% 0.13/0.35 cnf(a4, assumption,
% 0.13/0.35 X7 = c_0).
% 0.13/0.35 cnf(a5, assumption,
% 0.13/0.35 c_plus(X6,X4,X5) = c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b)).
% 0.13/0.35 cnf(a6, assumption,
% 0.13/0.35 X5 = t_b).
% 0.13/0.35 cnf(c13, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])).
% 0.13/0.35 cnf(c14, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])).
% 0.13/0.35
% 0.13/0.35 cnf(c15, axiom,
% 0.13/0.35 c_lessequals(v_lb(X8),v_f(X8),t_b)).
% 0.13/0.35 cnf(a7, assumption,
% 0.13/0.35 X3 = v_lb(X8)).
% 0.13/0.35 cnf(a8, assumption,
% 0.13/0.35 X6 = v_f(X8)).
% 0.13/0.35 cnf(a9, assumption,
% 0.13/0.35 X5 = t_b).
% 0.13/0.35 cnf(c16, plain,
% 0.13/0.35 ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c10, c15])).
% 0.13/0.35 cnf(c17, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c10, c15])).
% 0.13/0.35
% 0.13/0.35 cnf(c18, axiom,
% 0.13/0.35 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X9) | ~class_Ring__and__Field_Oordered__idom(X9)).
% 0.13/0.35 cnf(a10, assumption,
% 0.13/0.35 X5 = X9).
% 0.13/0.35 cnf(c19, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a10])], [c16, c18])).
% 0.13/0.35 cnf(c20, plain,
% 0.13/0.35 ~class_Ring__and__Field_Oordered__idom(X9),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a10])], [c16, c18])).
% 0.13/0.35
% 0.13/0.35 cnf(c21, plain,
% 0.13/0.35 class_Ring__and__Field_Oordered__idom(t_b)).
% 0.13/0.35 cnf(a11, assumption,
% 0.13/0.35 X9 = t_b).
% 0.13/0.35 cnf(c22, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(predicate_reduction, [assumptions([a11])], [c20, c21])).
% 0.13/0.35
% 0.13/0.35 cnf(c23, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(constraint_solving, [
% 0.13/0.35 bind(X0, t_b),
% 0.13/0.35 bind(X1, v_lb(v_x)),
% 0.13/0.35 bind(X2, t_b),
% 0.13/0.35 bind(X3, v_lb(v_x)),
% 0.13/0.35 bind(X4, c_uminus(X1,X2)),
% 0.13/0.35 bind(X5, t_b),
% 0.13/0.35 bind(X6, v_f(v_x)),
% 0.13/0.35 bind(X7, c_0),
% 0.13/0.35 bind(X8, v_x),
% 0.13/0.35 bind(X9, t_b)
% 0.13/0.35 ],
% 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])).
% 0.13/0.35
% 0.13/0.35 % SZS output end IncompleteProof
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