TSTP Solution File: ANA034-10 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : ANA034-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n005.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 18:50:52 EDT 2022
% Result : Unsatisfiable 0.64s 1.01s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 46 ( 46 unt; 0 nHn; 21 RR)
% Number of literals : 46 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 54 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(ifeq2(A,A,B,C),B),
file('ANA034-10.p',unknown),
[] ).
cnf(2,plain,
equal(ifeq(A,A,B,C),B),
file('ANA034-10.p',unknown),
[] ).
cnf(3,plain,
equal(ifeq2(class_Ring__and__Field_Oordered__idom(A),true,c_times(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A),c_HOL_Oabs(c_times(B,C,A),A)),c_HOL_Oabs(c_times(B,C,A),A)),
file('ANA034-10.p',unknown),
[] ).
cnf(4,plain,
equal(ifeq(c_lessequals(c_0,A,B),true,ifeq(c_lessequals(c_0,C,B),true,ifeq(c_lessequals(D,A,B),true,ifeq(c_lessequals(C,E,B),true,ifeq(class_Ring__and__Field_Opordered__semiring(B),true,c_lessequals(c_times(D,C,B),c_times(A,E,B),B),true),true),true),true),true),true),
file('ANA034-10.p',unknown),
[] ).
cnf(5,plain,
equal(ifeq(A,true,ifeq(c_lessequals(c_0,B,A),true,ifeq(c_lessequals(c_0,C,A),true,c_lessequals(c_0,c_times(B,C,A),A),true),true),true),true),
file('ANA034-10.p',unknown),
[] ).
cnf(6,plain,
equal(ifeq(c_less(A,B,C),true,ifeq(class_Orderings_Oorder(C),true,c_lessequals(A,B,C),true),true),true),
file('ANA034-10.p',unknown),
[] ).
cnf(7,plain,
equal(ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,c_lessequals(c_0,c_HOL_Oabs(B,A),A),true),true),
file('ANA034-10.p',unknown),
[] ).
cnf(8,plain,
equal(c_less(c_0,v_c,t_b),true),
file('ANA034-10.p',unknown),
[] ).
cnf(9,plain,
equal(c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true),
file('ANA034-10.p',unknown),
[] ).
cnf(10,plain,
equal(c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),true),
file('ANA034-10.p',unknown),
[] ).
cnf(11,plain,
equal(c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)),
file('ANA034-10.p',unknown),
[] ).
cnf(12,plain,
~ equal(c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),
inference(demod,[status(thm),theory(equality)],[11]),
[iquote('demod([11])')] ).
cnf(13,plain,
equal(class_Ring__and__Field_Oordered__idom(t_b),true),
file('ANA034-10.p',unknown),
[] ).
cnf(14,plain,
equal(ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,class_Orderings_Oorder(A),true),true),
file('ANA034-10.p',unknown),
[] ).
cnf(15,plain,
equal(ifeq(class_Ring__and__Field_Oordered__idom(A),true,A,true),true),
file('ANA034-10.p',unknown),
[] ).
cnf(16,plain,
equal(ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_Ring__and__Field_Opordered__semiring(A),true),true),
file('ANA034-10.p',unknown),
[] ).
cnf(17,plain,
equal(ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_OrderedGroup_Olordered__ab__group__abs(A),true),true),
file('ANA034-10.p',unknown),
[] ).
cnf(18,plain,
equal(true,t_b),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,15]),2]),1]),
[iquote('para(13,15),demod([2]),flip(1)')] ).
cnf(19,plain,
equal(ifeq(class_Ring__and__Field_Oordered__idom(A),t_b,class_OrderedGroup_Olordered__ab__group__abs(A),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[17]),18,18,18]),
[iquote('back_demod(17),demod([18,18,18])')] ).
cnf(20,plain,
equal(ifeq(class_Ring__and__Field_Oordered__idom(A),t_b,class_Ring__and__Field_Opordered__semiring(A),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[16]),18,18,18]),
[iquote('back_demod(16),demod([18,18,18])')] ).
cnf(22,plain,
equal(ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),t_b,class_Orderings_Oorder(A),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[14]),18,18,18]),
[iquote('back_demod(14),demod([18,18,18])')] ).
cnf(23,plain,
equal(class_Ring__and__Field_Oordered__idom(t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13]),18]),
[iquote('back_demod(13),demod([18])')] ).
cnf(24,plain,
~ equal(c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12]),18]),
[iquote('back_demod(12),demod([18])')] ).
cnf(25,plain,
equal(c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),18]),
[iquote('back_demod(10),demod([18])')] ).
cnf(26,plain,
equal(c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),18]),
[iquote('back_demod(9),demod([18])')] ).
cnf(27,plain,
equal(c_less(c_0,v_c,t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),18]),
[iquote('back_demod(8),demod([18])')] ).
cnf(28,plain,
equal(ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),t_b,c_lessequals(c_0,c_HOL_Oabs(B,A),A),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7]),18,18,18]),
[iquote('back_demod(7),demod([18,18,18])')] ).
cnf(29,plain,
equal(ifeq(c_less(A,B,C),t_b,ifeq(class_Orderings_Oorder(C),t_b,c_lessequals(A,B,C),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),18,18,18,18,18]),
[iquote('back_demod(6),demod([18,18,18,18,18])')] ).
cnf(30,plain,
equal(ifeq(A,t_b,ifeq(c_lessequals(c_0,B,A),t_b,ifeq(c_lessequals(c_0,C,A),t_b,c_lessequals(c_0,c_times(B,C,A),A),t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5]),18,18,18,18,18,18,18]),
[iquote('back_demod(5),demod([18,18,18,18,18,18,18])')] ).
cnf(31,plain,
equal(ifeq(c_lessequals(c_0,A,B),t_b,ifeq(c_lessequals(c_0,C,B),t_b,ifeq(c_lessequals(D,A,B),t_b,ifeq(c_lessequals(C,E,B),t_b,ifeq(class_Ring__and__Field_Opordered__semiring(B),t_b,c_lessequals(c_times(D,C,B),c_times(A,E,B),B),t_b),t_b),t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),18,18,18,18,18,18,18,18,18,18,18]),
[iquote('back_demod(4),demod([18,18,18,18,18,18,18,18,18,18,18])')] ).
cnf(32,plain,
equal(ifeq2(class_Ring__and__Field_Oordered__idom(A),t_b,c_times(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A),c_HOL_Oabs(c_times(B,C,A),A)),c_HOL_Oabs(c_times(B,C,A),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),18]),
[iquote('back_demod(3),demod([18])')] ).
cnf(33,plain,
equal(class_OrderedGroup_Olordered__ab__group__abs(t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,19]),2]),
[iquote('para(23,19),demod([2])')] ).
cnf(34,plain,
equal(class_Ring__and__Field_Opordered__semiring(t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,20]),2]),
[iquote('para(23,20),demod([2])')] ).
cnf(35,plain,
equal(class_Orderings_Oorder(t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,22]),2]),
[iquote('para(33,22),demod([2])')] ).
cnf(36,plain,
equal(c_lessequals(c_0,c_HOL_Oabs(A,t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,28]),2]),
[iquote('para(33,28),demod([2])')] ).
cnf(37,plain,
equal(ifeq(c_less(A,B,t_b),t_b,c_lessequals(A,B,t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[35,29]),2]),
[iquote('para(35,29),demod([2])')] ).
cnf(38,plain,
equal(c_lessequals(c_0,v_c,t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[27,37]),2]),
[iquote('para(27,37),demod([2])')] ).
cnf(42,plain,
equal(c_HOL_Oabs(c_times(A,B,t_b),t_b),c_times(c_HOL_Oabs(A,t_b),c_HOL_Oabs(B,t_b),t_b)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,32]),1]),1]),
[iquote('para(23,32),demod([1]),flip(1)')] ).
cnf(43,plain,
~ equal(c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[24]),42]),
[iquote('back_demod(24),demod([42])')] ).
cnf(44,plain,
equal(c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),42]),1]),
[iquote('back_demod(11),demod([42]),flip(1)')] ).
cnf(45,plain,
~ equal(c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[43]),44]),
[iquote('back_demod(43),demod([44])')] ).
cnf(52,plain,
equal(ifeq(c_lessequals(c_0,A,t_b),t_b,ifeq(c_lessequals(B,A,t_b),t_b,c_lessequals(c_times(B,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(A,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,31]),36,34,2,2,2]),
[iquote('para(25,31),demod([36,34,2,2,2])')] ).
cnf(68,plain,
equal(ifeq(c_lessequals(c_0,A,t_b),t_b,c_lessequals(c_0,c_times(v_c,A,t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,30]),2,2]),
[iquote('para(38,30),demod([2,2])')] ).
cnf(77,plain,
equal(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(A,t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[36,68]),2]),
[iquote('para(36,68),demod([2])')] ).
cnf(142,plain,
equal(c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,52]),77,44,2,2]),
[iquote('para(26,52),demod([77,44,2,2])')] ).
cnf(143,plain,
$false,
inference(conflict,[status(thm)],[142,45]),
[iquote('conflict(142,45)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ANA034-10 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.11 % Command : tptp2X_and_run_eqp %s
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jul 8 03:47:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.59/0.98 ----- EQP 0.9e, May 2009 -----
% 0.59/0.98 The job began on n005.cluster.edu, Fri Jul 8 03:47:37 2022
% 0.59/0.98 The command was "./eqp09e".
% 0.59/0.98
% 0.59/0.98 set(prolog_style_variables).
% 0.59/0.98 set(lrpo).
% 0.59/0.98 set(basic_paramod).
% 0.59/0.98 set(functional_subsume).
% 0.59/0.98 set(ordered_paramod).
% 0.59/0.98 set(prime_paramod).
% 0.59/0.98 set(para_pairs).
% 0.59/0.98 assign(pick_given_ratio,4).
% 0.59/0.98 clear(print_kept).
% 0.59/0.98 clear(print_new_demod).
% 0.59/0.98 clear(print_back_demod).
% 0.59/0.98 clear(print_given).
% 0.59/0.98 assign(max_mem,64000).
% 0.59/0.98 end_of_commands.
% 0.59/0.98
% 0.59/0.98 ERROR, name too big, max is 50;
% 0.59/0.98 ERROR, name too big, max is 50;
% 0.59/0.98 Usable:
% 0.59/0.98 end_of_list.
% 0.59/0.98
% 0.59/0.98 Sos:
% 0.59/0.98 0 (wt=-1) [] ifeq2(A,A,B,C) = B.
% 0.59/0.98 0 (wt=-1) [] ifeq(A,A,B,C) = B.
% 0.59/0.98 0 (wt=-1) [] ifeq2(class_Ring__and__Field_Oordered__idom(A),true,c_times(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A),c_HOL_Oabs(c_times(B,C,A),A)) = c_HOL_Oabs(c_times(B,C,A),A).
% 0.59/0.98 0 (wt=-1) [] ifeq(c_lessequals(c_0,A,B),true,ifeq(c_lessequals(c_0,C,B),true,ifeq(c_lessequals(D,A,B),true,ifeq(c_lessequals(C,E,B),true,ifeq(class_Ring__and__Field_Opordered__semiring(B),true,c_lessequals(c_times(D,C,B),c_times(A,E,B),B),true),true),true),true),true) = true.
% 0.59/0.98 0 (wt=-1) [] ifeq(A,true,ifeq(c_lessequals(c_0,B,A),true,ifeq(c_lessequals(c_0,C,A),true,c_lessequals(c_0,c_times(B,C,A),A),true),true),true) = true.
% 0.59/0.98 0 (wt=-1) [] ifeq(c_less(A,B,C),true,ifeq(class_Orderings_Oorder(C),true,c_lessequals(A,B,C),true),true) = true.
% 0.59/0.98 0 (wt=-1) [] ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,c_lessequals(c_0,c_HOL_Oabs(B,A),A),true) = true.
% 0.59/0.98 0 (wt=-1) [] c_less(c_0,v_c,t_b) = true.
% 0.59/0.98 0 (wt=-1) [] c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = true.
% 0.59/0.98 0 (wt=-1) [] c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = true.
% 0.59/0.98 0 (wt=-1) [] c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b).
% 0.59/0.98 0 (wt=-1) [] -(c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) = true).
% 0.59/0.98 0 (wt=-1) [] class_Ring__and__Field_Oordered__idom(t_b) = true.
% 0.59/0.98 0 (wt=-1) [] ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,class_Orderings_Oorder(A),true) = true.
% 0.59/0.98 0 (wt=-1) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,A,true) = true.
% 0.59/0.98 0 (wt=-1) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_Ring__and__Field_Opordered__semiring(A),true) = true.
% 0.59/0.98 0 (wt=-1) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_OrderedGroup_Olordered__ab__group__abs(A),true) = true.
% 0.59/0.98 end_of_list.
% 0.59/0.98
% 0.59/0.98 Demodulators:
% 0.59/0.98 end_of_list.
% 0.59/0.98
% 0.59/0.98 Passive:
% 0.59/0.98 end_of_list.
% 0.59/0.98
% 0.59/0.98 Starting to process input.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.59/0.98 1 is a new demodulator.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.59/0.98 2 is a new demodulator.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 3 (wt=25) [] ifeq2(class_Ring__and__Field_Oordered__idom(A),true,c_times(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A),c_HOL_Oabs(c_times(B,C,A),A)) = c_HOL_Oabs(c_times(B,C,A),A).
% 0.59/0.98 3 is a new demodulator.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 4 (wt=45) [] ifeq(c_lessequals(c_0,A,B),true,ifeq(c_lessequals(c_0,C,B),true,ifeq(c_lessequals(D,A,B),true,ifeq(c_lessequals(C,E,B),true,ifeq(class_Ring__and__Field_Opordered__semiring(B),true,c_lessequals(c_times(D,C,B),c_times(A,E,B),B),true),true),true),true),true) = true.
% 0.59/0.98 4 is a new demodulator.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 5 (wt=27) [] ifeq(A,true,ifeq(c_lessequals(c_0,B,A),true,ifeq(c_lessequals(c_0,C,A),true,c_lessequals(c_0,c_times(B,C,A),A),true),true),true) = true.
% 0.59/0.98 5 is a new demodulator.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 6 (wt=18) [] ifeq(c_less(A,B,C),true,ifeq(class_Orderings_Oorder(C),true,c_lessequals(A,B,C),true),true) = true.
% 0.59/0.98 6 is a new demodulator.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 7 (wt=13) [] ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,c_lessequals(c_0,c_HOL_Oabs(B,A),A),true) = true.
% 0.59/0.98 7 is a new demodulator.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 8 (wt=6) [] c_less(c_0,v_c,t_b) = true.
% 0.59/0.98 8 is a new demodulator.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 9 (wt=15) [] c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = true.
% 0.59/0.98 9 is a new demodulator.
% 0.59/0.98
% 0.59/0.98 ** KEPT: 10 (wt=15) [] c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = true.
% 0.59/0.98 10 is a new demodulator.
% 0.64/1.01
% 0.64/1.01 ** KEPT: 11 (wt=31) [] c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b).
% 0.64/1.01 11 is a new demodulator.
% 0.64/1.01
% 0.64/1.01 ** KEPT: 12 (wt=28) [demod([11])] -(c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) = true).
% 0.64/1.01
% 0.64/1.01 ** KEPT: 13 (wt=4) [] class_Ring__and__Field_Oordered__idom(t_b) = true.
% 0.64/1.01 13 is a new demodulator.
% 0.64/1.01
% 0.64/1.01 ** KEPT: 14 (wt=9) [] ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,class_Orderings_Oorder(A),true) = true.
% 0.64/1.01 14 is a new demodulator.
% 0.64/1.01
% 0.64/1.01 ** KEPT: 15 (wt=8) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,A,true) = true.
% 0.64/1.01 15 is a new demodulator.
% 0.64/1.01
% 0.64/1.01 ** KEPT: 16 (wt=9) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_Ring__and__Field_Opordered__semiring(A),true) = true.
% 0.64/1.01 16 is a new demodulator.
% 0.64/1.01
% 0.64/1.01 ** KEPT: 17 (wt=9) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_OrderedGroup_Olordered__ab__group__abs(A),true) = true.
% 0.64/1.01 17 is a new demodulator.
% 0.64/1.01 ---------------- PROOF FOUND ----------------
% 0.64/1.01 % SZS status Unsatisfiable
% 0.64/1.01
% 0.64/1.01
% 0.64/1.01 After processing input:
% 0.64/1.01
% 0.64/1.01 Usable:
% 0.64/1.01 end_of_list.
% 0.64/1.01
% 0.64/1.01 Sos:
% 0.64/1.01 13 (wt=4) [] class_Ring__and__Field_Oordered__idom(t_b) = true.
% 0.64/1.01 8 (wt=6) [] c_less(c_0,v_c,t_b) = true.
% 0.64/1.01 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.64/1.01 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.64/1.01 15 (wt=8) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,A,true) = true.
% 0.64/1.01 14 (wt=9) [] ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,class_Orderings_Oorder(A),true) = true.
% 0.64/1.01 16 (wt=9) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_Ring__and__Field_Opordered__semiring(A),true) = true.
% 0.64/1.01 17 (wt=9) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_OrderedGroup_Olordered__ab__group__abs(A),true) = true.
% 0.64/1.01 7 (wt=13) [] ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,c_lessequals(c_0,c_HOL_Oabs(B,A),A),true) = true.
% 0.64/1.01 9 (wt=15) [] c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = true.
% 0.64/1.01 10 (wt=15) [] c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = true.
% 0.64/1.01 6 (wt=18) [] ifeq(c_less(A,B,C),true,ifeq(class_Orderings_Oorder(C),true,c_lessequals(A,B,C),true),true) = true.
% 0.64/1.01 3 (wt=25) [] ifeq2(class_Ring__and__Field_Oordered__idom(A),true,c_times(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A),c_HOL_Oabs(c_times(B,C,A),A)) = c_HOL_Oabs(c_times(B,C,A),A).
% 0.64/1.01 5 (wt=27) [] ifeq(A,true,ifeq(c_lessequals(c_0,B,A),true,ifeq(c_lessequals(c_0,C,A),true,c_lessequals(c_0,c_times(B,C,A),A),true),true),true) = true.
% 0.64/1.01 12 (wt=28) [demod([11])] -(c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) = true).
% 0.64/1.01 11 (wt=31) [] c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b).
% 0.64/1.01 4 (wt=45) [] ifeq(c_lessequals(c_0,A,B),true,ifeq(c_lessequals(c_0,C,B),true,ifeq(c_lessequals(D,A,B),true,ifeq(c_lessequals(C,E,B),true,ifeq(class_Ring__and__Field_Opordered__semiring(B),true,c_lessequals(c_times(D,C,B),c_times(A,E,B),B),true),true),true),true),true) = true.
% 0.64/1.01 end_of_list.
% 0.64/1.01
% 0.64/1.01 Demodulators:
% 0.64/1.01 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.64/1.01 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.64/1.01 3 (wt=25) [] ifeq2(class_Ring__and__Field_Oordered__idom(A),true,c_times(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A),c_HOL_Oabs(c_times(B,C,A),A)) = c_HOL_Oabs(c_times(B,C,A),A).
% 0.64/1.01 4 (wt=45) [] ifeq(c_lessequals(c_0,A,B),true,ifeq(c_lessequals(c_0,C,B),true,ifeq(c_lessequals(D,A,B),true,ifeq(c_lessequals(C,E,B),true,ifeq(class_Ring__and__Field_Opordered__semiring(B),true,c_lessequals(c_times(D,C,B),c_times(A,E,B),B),true),true),true),true),true) = true.
% 0.64/1.01 5 (wt=27) [] ifeq(A,true,ifeq(c_lessequals(c_0,B,A),true,ifeq(c_lessequals(c_0,C,A),true,c_lessequals(c_0,c_times(B,C,A),A),true),true),true) = true.
% 0.64/1.01 6 (wt=18) [] ifeq(c_less(A,B,C),true,ifeq(class_Orderings_Oorder(C),true,c_lessequals(A,B,C),true),true) = true.
% 0.64/1.01 7 (wt=13) [] ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,c_lessequals(c_0,c_HOL_Oabs(B,A),A),true) = true.
% 0.64/1.01 8 (wt=6) [] c_less(c_0,v_c,t_b) = true.
% 0.64/1.01 9 (wt=15) [] c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = true.
% 0.64/1.01 10 (wt=15) [] c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = true.
% 0.64/1.01 11 (wt=31) [] c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b).
% 0.64/1.01 13 (wt=4) [] class_Ring__and__Field_Oordered__idom(t_b) = true.
% 0.64/1.01 14 (wt=9) [] ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,class_Orderings_Oorder(A),true) = true.
% 0.64/1.01 15 (wt=8) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,A,true) = true.
% 0.64/1.01 16 (wt=9) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_Ring__and__Field_Opordered__semiring(A),true) = true.
% 0.64/1.01 17 (wt=9) [] ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_OrderedGroup_Olordered__ab__group__abs(A),true) = true.
% 0.64/1.01 end_of_list.
% 0.64/1.01
% 0.64/1.01 Passive:
% 0.64/1.01 end_of_list.
% 0.64/1.01
% 0.64/1.01 UNIT CONFLICT from 142 and 45 at 0.01 seconds.
% 0.64/1.01
% 0.64/1.01 ---------------- PROOF ----------------
% 0.64/1.01 % SZS output start Refutation
% See solution above
% 0.64/1.01 ------------ end of proof -------------
% 0.64/1.01
% 0.64/1.01
% 0.64/1.01 ------------- memory usage ------------
% 0.64/1.01 Memory dynamically allocated (tp_alloc): 488.
% 0.64/1.01 type (bytes each) gets frees in use avail bytes
% 0.64/1.01 sym_ent ( 96) 79 0 79 0 7.4 K
% 0.64/1.01 term ( 16) 12682 9108 3574 53 70.3 K
% 0.64/1.01 gen_ptr ( 8) 19221 1366 17855 45 139.8 K
% 0.64/1.01 context ( 808) 45994 45992 2 3 3.9 K
% 0.64/1.01 trail ( 12) 273 273 0 6 0.1 K
% 0.64/1.01 bt_node ( 68) 23961 23957 4 42 3.1 K
% 0.64/1.01 ac_position (285432) 0 0 0 0 0.0 K
% 0.64/1.01 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.64/1.01 ac_match_free_vars_pos (4020)
% 0.64/1.01 0 0 0 0 0.0 K
% 0.64/1.01 discrim ( 12) 4293 523 3770 0 44.2 K
% 0.64/1.01 flat ( 40) 15584 15584 0 46 1.8 K
% 0.64/1.01 discrim_pos ( 12) 325 325 0 1 0.0 K
% 0.64/1.01 fpa_head ( 12) 2083 0 2083 0 24.4 K
% 0.64/1.01 fpa_tree ( 28) 3020 3020 0 73 2.0 K
% 0.64/1.01 fpa_pos ( 36) 279 279 0 1 0.0 K
% 0.64/1.01 literal ( 12) 364 222 142 1 1.7 K
% 0.64/1.01 clause ( 24) 364 222 142 1 3.4 K
% 0.64/1.01 list ( 12) 196 140 56 3 0.7 K
% 0.64/1.01 list_pos ( 20) 613 104 509 0 9.9 K
% 0.64/1.01 pair_index ( 40) 2 0 2 0 0.1 K
% 0.64/1.01
% 0.64/1.01 -------------- statistics -------------
% 0.64/1.01 Clauses input 17
% 0.64/1.01 Usable input 0
% 0.64/1.01 Sos input 17
% 0.64/1.01 Demodulators input 0
% 0.64/1.01 Passive input 0
% 0.64/1.01
% 0.64/1.01 Processed BS (before search) 17
% 0.64/1.01 Forward subsumed BS 0
% 0.64/1.01 Kept BS 17
% 0.64/1.01 New demodulators BS 16
% 0.64/1.01 Back demodulated BS 0
% 0.64/1.01
% 0.64/1.01 Clauses or pairs given 1435
% 0.64/1.01 Clauses generated 209
% 0.64/1.01 Forward subsumed 84
% 0.64/1.01 Deleted by weight 0
% 0.64/1.01 Deleted by variable count 0
% 0.64/1.01 Kept 125
% 0.64/1.01 New demodulators 121
% 0.64/1.01 Back demodulated 18
% 0.64/1.01 Ordered paramod prunes 0
% 0.64/1.01 Basic paramod prunes 4904
% 0.64/1.01 Prime paramod prunes 0
% 0.64/1.01 Semantic prunes 0
% 0.64/1.01
% 0.64/1.01 Rewrite attmepts 4914
% 0.64/1.01 Rewrites 325
% 0.64/1.01
% 0.64/1.01 FPA overloads 0
% 0.64/1.01 FPA underloads 0
% 0.64/1.01
% 0.64/1.01 Usable size 0
% 0.64/1.01 Sos size 123
% 0.64/1.01 Demodulators size 122
% 0.64/1.01 Passive size 0
% 0.64/1.01 Disabled size 18
% 0.64/1.01
% 0.64/1.01 Proofs found 1
% 0.64/1.01
% 0.64/1.01 ----------- times (seconds) ----------- Fri Jul 8 03:47:37 2022
% 0.64/1.01
% 0.64/1.01 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.64/1.01 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.64/1.01 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.64/1.01 input time 0.00
% 0.64/1.01 paramodulation time 0.01
% 0.64/1.01 demodulation time 0.00
% 0.64/1.01 orient time 0.00
% 0.64/1.01 weigh time 0.00
% 0.64/1.01 forward subsume time 0.00
% 0.64/1.01 back demod find time 0.00
% 0.64/1.01 conflict time 0.00
% 0.64/1.01 LRPO time 0.00
% 0.64/1.01 store clause time 0.00
% 0.64/1.01 disable clause time 0.00
% 0.64/1.01 prime paramod time 0.00
% 0.64/1.01 semantics time 0.00
% 0.64/1.01
% 0.64/1.01 EQP interrupted
%------------------------------------------------------------------------------