TSTP Solution File: ANA010-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ANA010-2 : 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 : n013.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 19:08:28 EDT 2022
% Result : Unsatisfiable 0.19s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n013.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 03:47:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39 % SZS output begin IncompleteProof
% 0.19/0.39 cnf(c0, axiom,
% 0.19/0.39 ~c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b)).
% 0.19/0.39 cnf(c1, plain,
% 0.19/0.39 ~c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
% 0.19/0.39 inference(start, [], [c0])).
% 0.19/0.39
% 0.19/0.39 cnf(c2, axiom,
% 0.19/0.39 c_HOL_Oabs(c_times(X1,X2,X3),X3) = c_times(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3) | ~class_Ring__and__Field_Oordered__idom(X3)).
% 0.19/0.39 cnf(a0, assumption,
% 0.19/0.39 c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b) = c_times(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3)).
% 0.19/0.39 cnf(c3, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.39 cnf(c4, plain,
% 0.19/0.39 ~class_Ring__and__Field_Oordered__idom(X3),
% 0.19/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.39 cnf(c5, plain,
% 0.19/0.39 X4 != c_HOL_Oabs(c_times(X1,X2,X3),X3) | ~c_lessequals(v_f(v_x(X0)),X4,t_b),
% 0.19/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.39
% 0.19/0.39 cnf(c6, axiom,
% 0.19/0.39 c_HOL_Oabs(X5,X6) = X5 | ~c_lessequals(c_0,X5,X6) | ~class_OrderedGroup_Olordered__ab__group__abs(X6)).
% 0.19/0.39 cnf(a1, assumption,
% 0.19/0.39 c_HOL_Oabs(c_times(X1,X2,X3),X3) = c_HOL_Oabs(X5,X6)).
% 0.19/0.39 cnf(c7, plain,
% 0.19/0.39 ~c_lessequals(v_f(v_x(X0)),X4,t_b),
% 0.19/0.39 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.19/0.39 cnf(c8, plain,
% 0.19/0.39 ~c_lessequals(c_0,X5,X6) | ~class_OrderedGroup_Olordered__ab__group__abs(X6),
% 0.19/0.39 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.19/0.39 cnf(c9, plain,
% 0.19/0.39 X7 != X5 | X4 != X7,
% 0.19/0.39 inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 0.19/0.39
% 0.19/0.39 cnf(a2, assumption,
% 0.19/0.39 X7 = X5).
% 0.19/0.39 cnf(c10, plain,
% 0.19/0.39 X4 != X7,
% 0.19/0.39 inference(reflexivity, [assumptions([a2])], [c9])).
% 0.19/0.39
% 0.19/0.39 cnf(a3, assumption,
% 0.19/0.39 X4 = X7).
% 0.19/0.39 cnf(c11, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(reflexivity, [assumptions([a3])], [c10])).
% 0.19/0.39
% 0.19/0.39 cnf(c12, axiom,
% 0.19/0.39 c_lessequals(X8,X9,X10) | ~c_lessequals(X8,X11,X10) | ~c_lessequals(X11,X9,X10) | ~class_Orderings_Oorder(X10)).
% 0.19/0.39 cnf(a4, assumption,
% 0.19/0.39 c_0 = X8).
% 0.19/0.39 cnf(a5, assumption,
% 0.19/0.39 X5 = X9).
% 0.19/0.39 cnf(a6, assumption,
% 0.19/0.39 X6 = X10).
% 0.19/0.39 cnf(c13, plain,
% 0.19/0.39 ~class_OrderedGroup_Olordered__ab__group__abs(X6),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c8, c12])).
% 0.19/0.39 cnf(c14, plain,
% 0.19/0.39 ~c_lessequals(X8,X11,X10) | ~c_lessequals(X11,X9,X10) | ~class_Orderings_Oorder(X10),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c8, c12])).
% 0.19/0.39
% 0.19/0.39 cnf(c15, axiom,
% 0.19/0.39 c_lessequals(c_0,v_f(X12),t_b)).
% 0.19/0.39 cnf(a7, assumption,
% 0.19/0.39 X8 = c_0).
% 0.19/0.39 cnf(a8, assumption,
% 0.19/0.39 X11 = v_f(X12)).
% 0.19/0.39 cnf(a9, assumption,
% 0.19/0.39 X10 = t_b).
% 0.19/0.39 cnf(c16, plain,
% 0.19/0.39 ~c_lessequals(X11,X9,X10) | ~class_Orderings_Oorder(X10),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c14, c15])).
% 0.19/0.39 cnf(c17, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c14, c15])).
% 0.19/0.39
% 0.19/0.39 cnf(c18, axiom,
% 0.19/0.39 c_lessequals(v_f(X13),c_times(v_c,v_g(X13),t_b),t_b)).
% 0.19/0.39 cnf(a10, assumption,
% 0.19/0.39 X11 = v_f(X13)).
% 0.19/0.39 cnf(a11, assumption,
% 0.19/0.39 X9 = c_times(v_c,v_g(X13),t_b)).
% 0.19/0.39 cnf(a12, assumption,
% 0.19/0.39 X10 = t_b).
% 0.19/0.39 cnf(c19, plain,
% 0.19/0.39 ~class_Orderings_Oorder(X10),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c16, c18])).
% 0.19/0.39 cnf(c20, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c16, c18])).
% 0.19/0.39
% 0.19/0.39 cnf(c21, axiom,
% 0.19/0.39 class_Orderings_Oorder(X14) | ~class_OrderedGroup_Olordered__ab__group__abs(X14)).
% 0.19/0.39 cnf(a13, assumption,
% 0.19/0.39 X10 = X14).
% 0.19/0.39 cnf(c22, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a13])], [c19, c21])).
% 0.19/0.39 cnf(c23, plain,
% 0.19/0.39 ~class_OrderedGroup_Olordered__ab__group__abs(X14),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a13])], [c19, c21])).
% 0.19/0.39
% 0.19/0.39 cnf(c24, axiom,
% 0.19/0.39 class_OrderedGroup_Olordered__ab__group__abs(X15) | ~class_Ring__and__Field_Oordered__idom(X15)).
% 0.19/0.39 cnf(a14, assumption,
% 0.19/0.39 X14 = X15).
% 0.19/0.39 cnf(c25, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a14])], [c23, c24])).
% 0.19/0.39 cnf(c26, plain,
% 0.19/0.39 ~class_Ring__and__Field_Oordered__idom(X15),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a14])], [c23, c24])).
% 0.19/0.39
% 0.19/0.39 cnf(c27, axiom,
% 0.19/0.39 class_Ring__and__Field_Oordered__idom(t_b)).
% 0.19/0.39 cnf(a15, assumption,
% 0.19/0.39 X15 = t_b).
% 0.19/0.39 cnf(c28, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])).
% 0.19/0.39 cnf(c29, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])).
% 0.19/0.39
% 0.19/0.39 cnf(c30, plain,
% 0.19/0.39 class_OrderedGroup_Olordered__ab__group__abs(X14)).
% 0.19/0.39 cnf(a16, assumption,
% 0.19/0.39 X6 = X14).
% 0.19/0.39 cnf(c31, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(predicate_reduction, [assumptions([a16])], [c13, c30])).
% 0.19/0.39
% 0.19/0.39 cnf(c32, plain,
% 0.19/0.39 c_lessequals(X11,X9,X10)).
% 0.19/0.39 cnf(a17, assumption,
% 0.19/0.39 v_f(v_x(X0)) = X11).
% 0.19/0.39 cnf(a18, assumption,
% 0.19/0.39 X4 = X9).
% 0.19/0.39 cnf(a19, assumption,
% 0.19/0.39 t_b = X10).
% 0.19/0.39 cnf(c33, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(predicate_reduction, [assumptions([a17, a18, a19])], [c7, c32])).
% 0.19/0.39
% 0.19/0.39 cnf(c34, plain,
% 0.19/0.39 class_Ring__and__Field_Oordered__idom(X15)).
% 0.19/0.39 cnf(a20, assumption,
% 0.19/0.39 X3 = X15).
% 0.19/0.39 cnf(c35, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(predicate_reduction, [assumptions([a20])], [c4, c34])).
% 0.19/0.39
% 0.19/0.39 cnf(c36, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(constraint_solving, [
% 0.19/0.39 bind(X0, c_HOL_Oabs(X1,X3)),
% 0.19/0.39 bind(X1, v_c),
% 0.19/0.39 bind(X2, v_g(v_x(X0))),
% 0.19/0.39 bind(X3, t_b),
% 0.19/0.39 bind(X4, c_times(X1,X2,X3)),
% 0.19/0.39 bind(X5, c_times(X1,X2,X3)),
% 0.19/0.39 bind(X6, t_b),
% 0.19/0.39 bind(X7, c_times(X1,X2,X3)),
% 0.19/0.39 bind(X8, c_0),
% 0.19/0.39 bind(X9, c_times(X1,X2,X3)),
% 0.19/0.39 bind(X10, t_b),
% 0.19/0.39 bind(X11, v_f(X12)),
% 0.19/0.39 bind(X12, v_x(X0)),
% 0.19/0.39 bind(X13, v_x(X0)),
% 0.19/0.39 bind(X14, t_b),
% 0.19/0.39 bind(X15, t_b)
% 0.19/0.39 ],
% 0.19/0.39 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])).
% 0.19/0.39
% 0.19/0.39 % SZS output end IncompleteProof
%------------------------------------------------------------------------------