TSTP Solution File: ANA034-10 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ANA034-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 19:21:51 EDT 2022
% Result : Unsatisfiable 0.74s 1.08s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA034-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 03:44:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.08 ============================== Prover9 ===============================
% 0.74/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.74/1.08 Process 28926 was started by sandbox2 on n011.cluster.edu,
% 0.74/1.08 Fri Jul 8 03:44:40 2022
% 0.74/1.08 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28772_n011.cluster.edu".
% 0.74/1.08 ============================== end of head ===========================
% 0.74/1.08
% 0.74/1.08 ============================== INPUT =================================
% 0.74/1.08
% 0.74/1.08 % Reading from file /tmp/Prover9_28772_n011.cluster.edu
% 0.74/1.08
% 0.74/1.08 set(prolog_style_variables).
% 0.74/1.08 set(auto2).
% 0.74/1.08 % set(auto2) -> set(auto).
% 0.74/1.08 % set(auto) -> set(auto_inference).
% 0.74/1.08 % set(auto) -> set(auto_setup).
% 0.74/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.74/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.74/1.08 % set(auto) -> set(auto_limits).
% 0.74/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.74/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.74/1.08 % set(auto) -> set(auto_denials).
% 0.74/1.08 % set(auto) -> set(auto_process).
% 0.74/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.74/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.74/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.74/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.74/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.74/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.74/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.74/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.74/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.74/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.74/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.74/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.74/1.08 % set(auto2) -> assign(stats, some).
% 0.74/1.08 % set(auto2) -> clear(echo_input).
% 0.74/1.08 % set(auto2) -> set(quiet).
% 0.74/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.74/1.08 % set(auto2) -> clear(print_given).
% 0.74/1.08 assign(lrs_ticks,-1).
% 0.74/1.08 assign(sos_limit,10000).
% 0.74/1.08 assign(order,kbo).
% 0.74/1.08 set(lex_order_vars).
% 0.74/1.08 clear(print_given).
% 0.74/1.08
% 0.74/1.08 % formulas(sos). % not echoed (17 formulas)
% 0.74/1.08
% 0.74/1.08 ============================== end of input ==========================
% 0.74/1.08
% 0.74/1.08 % From the command line: assign(max_seconds, 300).
% 0.74/1.08
% 0.74/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.74/1.08
% 0.74/1.08 % Formulas that are not ordinary clauses:
% 0.74/1.08
% 0.74/1.08 ============================== end of process non-clausal formulas ===
% 0.74/1.08
% 0.74/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.74/1.08
% 0.74/1.08 ============================== PREDICATE ELIMINATION =================
% 0.74/1.08
% 0.74/1.08 ============================== end predicate elimination =============
% 0.74/1.08
% 0.74/1.08 Auto_denials:
% 0.74/1.08 % copying label cls_conjecture_5 to answer in negative clause
% 0.74/1.08
% 0.74/1.08 Term ordering decisions:
% 0.74/1.08 Function symbol KB weights: true=1. t_b=1. v_x=1. c_0=1. v_c=1. v_ca=1. c_HOL_Oabs=1. class_Ring__and__Field_Oordered__idom=1. class_OrderedGroup_Olordered__ab__group__abs=1. v_f=1. v_g=1. class_Orderings_Oorder=1. class_Ring__and__Field_Opordered__cancel__semiring=1. class_Ring__and__Field_Opordered__semiring=1. v_a=1. v_b=1. c_times=1. c_lessequals=1. c_less=1. ifeq=1. ifeq2=1.
% 0.74/1.08
% 0.74/1.08 ============================== end of process initial clauses ========
% 0.74/1.08
% 0.74/1.08 ============================== CLAUSES FOR SEARCH ====================
% 0.74/1.08
% 0.74/1.08 ============================== end of clauses for search =============
% 0.74/1.08
% 0.74/1.08 ============================== SEARCH ================================
% 0.74/1.08
% 0.74/1.08 % Starting search at 0.01 seconds.
% 0.74/1.08
% 0.74/1.08 ============================== PROOF =================================
% 0.74/1.08 % SZS status Unsatisfiable
% 0.74/1.08 % SZS output start Refutation
% 0.74/1.08
% 0.74/1.08 % Proof 1 at 0.07 (+ 0.00) seconds: cls_conjecture_5.
% 0.74/1.08 % Length of proof is 46.
% 0.74/1.08 % Level of proof is 9.
% 0.74/1.08 % Maximum clause weight is 56.000.
% 0.74/1.08 % Given clauses 58.
% 0.74/1.08
% 0.74/1.08 1 class_Ring__and__Field_Oordered__idom(t_b) = true # label(tfree_tcs) # label(negated_conjecture). [assumption].
% 0.74/1.08 2 true = class_Ring__and__Field_Oordered__idom(t_b). [copy(1),flip(a)].
% 0.74/1.08 3 c_less(c_0,v_c,t_b) = true # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.74/1.08 4 c_less(c_0,v_c,t_b) = class_Ring__and__Field_Oordered__idom(t_b). [copy(3),rewrite([2(5)])].
% 0.74/1.08 5 ifeq2(A,A,B,C) = B # label(ifeq_axiom) # label(axiom). [assumption].
% 0.74/1.08 6 ifeq(A,A,B,C) = B # label(ifeq_axiom_001) # label(axiom). [assumption].
% 0.74/1.08 7 ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,class_Orderings_Oorder(A),true) = true # label(clsrel_OrderedGroup_Olordered__ab__group__abs_17) # label(axiom). [assumption].
% 0.74/1.08 8 ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),class_Ring__and__Field_Oordered__idom(t_b),class_Orderings_Oorder(A),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [copy(7),rewrite([2(2),2(5),2(8)])].
% 0.74/1.08 9 ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_Ring__and__Field_Opordered__cancel__semiring(A),true) = true # label(clsrel_Ring__and__Field_Oordered__idom_40) # label(axiom). [assumption].
% 0.74/1.08 10 ifeq(class_Ring__and__Field_Oordered__idom(A),class_Ring__and__Field_Oordered__idom(t_b),class_Ring__and__Field_Opordered__cancel__semiring(A),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [copy(9),rewrite([2(2),2(5),2(8)])].
% 0.74/1.08 11 ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_Ring__and__Field_Opordered__semiring(A),true) = true # label(clsrel_Ring__and__Field_Oordered__idom_42) # label(axiom). [assumption].
% 0.81/1.08 12 ifeq(class_Ring__and__Field_Oordered__idom(A),class_Ring__and__Field_Oordered__idom(t_b),class_Ring__and__Field_Opordered__semiring(A),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [copy(11),rewrite([2(2),2(5),2(8)])].
% 0.81/1.08 13 ifeq(class_Ring__and__Field_Oordered__idom(A),true,class_OrderedGroup_Olordered__ab__group__abs(A),true) = true # label(clsrel_Ring__and__Field_Oordered__idom_50) # label(axiom). [assumption].
% 0.81/1.08 14 ifeq(class_Ring__and__Field_Oordered__idom(A),class_Ring__and__Field_Oordered__idom(t_b),class_OrderedGroup_Olordered__ab__group__abs(A),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [copy(13),rewrite([2(2),2(5),2(8)])].
% 0.81/1.08 15 ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),true,c_lessequals(c_0,c_HOL_Oabs(B,A),A),true) = true # label(cls_OrderedGroup_Oabs__ge__zero_0) # label(axiom). [assumption].
% 0.81/1.08 16 ifeq(class_OrderedGroup_Olordered__ab__group__abs(A),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_0,c_HOL_Oabs(B,A),A),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [copy(15),rewrite([2(2),2(7),2(10)])].
% 0.81/1.08 17 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 # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.81/1.08 18 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) = class_Ring__and__Field_Oordered__idom(t_b). [copy(17),rewrite([2(14)])].
% 0.81/1.08 19 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 # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 0.81/1.08 20 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) = class_Ring__and__Field_Oordered__idom(t_b). [copy(19),rewrite([2(14)])].
% 0.81/1.08 21 ifeq(c_less(A,B,C),true,ifeq(class_Orderings_Oorder(C),true,c_lessequals(A,B,C),true),true) = true # label(cls_Orderings_Oorder__less__imp__le_0) # label(axiom). [assumption].
% 0.81/1.08 22 ifeq(c_less(A,B,C),class_Ring__and__Field_Oordered__idom(t_b),ifeq(class_Orderings_Oorder(C),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(A,B,C),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [copy(21),rewrite([2(2),2(5),2(8),2(11),2(14)])].
% 0.81/1.08 23 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) # label(cls_Ring__and__Field_Oabs__mult_0) # label(axiom). [assumption].
% 0.81/1.08 24 ifeq2(class_Ring__and__Field_Oordered__idom(A),class_Ring__and__Field_Oordered__idom(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). [copy(23),rewrite([2(2)])].
% 0.81/1.08 25 ifeq(class_Ring__and__Field_Opordered__cancel__semiring(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 # label(cls_Ring__and__Field_Omult__nonneg__nonneg_0) # label(axiom). [assumption].
% 0.81/1.08 26 ifeq(class_Ring__and__Field_Opordered__cancel__semiring(A),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(c_0,B,A),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(c_0,C,A),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_0,c_times(B,C,A),A),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [copy(25),rewrite([2(2),2(6),2(10),2(15),2(18),2(21),2(24)])].
% 0.81/1.08 27 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) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 0.81/1.08 28 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_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b). [copy(27),flip(a)].
% 0.81/1.08 29 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 # label(cls_Ring__and__Field_Omult__mono_0) # label(axiom). [assumption].
% 0.81/1.08 30 ifeq(c_lessequals(c_0,A,B),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(c_0,C,B),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(D,A,B),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(C,E,B),class_Ring__and__Field_Oordered__idom(t_b),ifeq(class_Ring__and__Field_Opordered__semiring(B),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_times(D,C,B),c_times(A,E,B),B),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [copy(29),rewrite([2(3),2(7),2(10),2(13),2(16),2(21),2(24),2(27),2(30),2(33),2(36)])].
% 0.81/1.08 31 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 # label(cls_conjecture_5) # label(negated_conjecture) # answer(cls_conjecture_5). [assumption].
% 0.81/1.08 32 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) != class_Ring__and__Field_Oordered__idom(t_b) # answer(cls_conjecture_5). [copy(31),rewrite([2(25)])].
% 0.81/1.08 33 class_Ring__and__Field_Opordered__cancel__semiring(t_b) = class_Ring__and__Field_Oordered__idom(t_b). [para(10(a,1),6(a,1)),flip(a)].
% 0.81/1.08 34 class_Ring__and__Field_Opordered__semiring(t_b) = class_Ring__and__Field_Oordered__idom(t_b). [para(12(a,1),6(a,1)),flip(a)].
% 0.81/1.08 35 class_OrderedGroup_Olordered__ab__group__abs(t_b) = class_Ring__and__Field_Oordered__idom(t_b). [para(14(a,1),6(a,1)),flip(a)].
% 0.81/1.08 36 ifeq(class_Orderings_Oorder(t_b),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_0,v_c,t_b),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [para(4(a,1),22(a,1,1)),rewrite([6(18)])].
% 0.81/1.08 39 c_times(c_HOL_Oabs(A,t_b),c_HOL_Oabs(B,t_b),t_b) = c_HOL_Oabs(c_times(A,B,t_b),t_b). [para(24(a,1),5(a,1)),flip(a)].
% 0.81/1.08 44 ifeq(c_lessequals(c_0,A,t_b),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(B,A,t_b),class_Ring__and__Field_Oordered__idom(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),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [para(20(a,1),30(a,1,3,3,3,1)),rewrite([34(24),6(46),6(42)])].
% 0.81/1.08 49 class_Orderings_Oorder(t_b) = class_Ring__and__Field_Oordered__idom(t_b). [para(35(a,1),8(a,1,1)),rewrite([6(9)])].
% 0.81/1.08 50 c_lessequals(c_0,c_HOL_Oabs(A,t_b),t_b) = class_Ring__and__Field_Oordered__idom(t_b). [para(35(a,1),16(a,1,1)),rewrite([6(12)])].
% 0.81/1.08 53 c_lessequals(c_0,v_c,t_b) = class_Ring__and__Field_Oordered__idom(t_b). [back_rewrite(36),rewrite([49(2),6(11)])].
% 0.81/1.08 54 ifeq(c_lessequals(c_0,A,t_b),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(B,A,t_b),class_Ring__and__Field_Oordered__idom(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),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [back_rewrite(44),rewrite([50(12),6(36)])].
% 0.81/1.08 57 ifeq(c_lessequals(c_0,A,t_b),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_0,c_times(v_c,A,t_b),t_b),class_Ring__and__Field_Oordered__idom(t_b)) = class_Ring__and__Field_Oordered__idom(t_b). [para(53(a,1),26(a,1,3,1)),rewrite([33(2),6(25),6(21)])].
% 0.81/1.08 73 c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(A,t_b),t_b),t_b) = class_Ring__and__Field_Oordered__idom(t_b). [para(50(a,1),57(a,1,1)),rewrite([6(15)])].
% 0.81/1.08 340 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) = class_Ring__and__Field_Oordered__idom(t_b). [para(18(a,1),54(a,1,3,1)),rewrite([73(10),39(18),28(32),6(35),6(31)])].
% 0.81/1.08 341 $F # answer(cls_conjecture_5). [resolve(340,a,32,a)].
% 0.81/1.08
% 0.81/1.08 % SZS output end Refutation
% 0.81/1.08 ============================== end of proof ==========================
% 0.81/1.08
% 0.81/1.08 ============================== STATISTICS ============================
% 0.81/1.08
% 0.81/1.08 Given=58. Generated=642. Kept=325. proofs=1.
% 0.81/1.08 Usable=58. Sos=258. Demods=315. Limbo=0, Disabled=25. Hints=0.
% 0.81/1.08 Megabytes=1.08.
% 0.81/1.08 User_CPU=0.07, System_CPU=0.00, Wall_clock=0.
% 0.81/1.08
% 0.81/1.08 ============================== end of statistics =====================
% 0.81/1.08
% 0.81/1.08 ============================== end of search =========================
% 0.81/1.08
% 0.81/1.08 THEOREM PROVED
% 0.81/1.08 % SZS status Unsatisfiable
% 0.81/1.08
% 0.81/1.08 Exiting with 1 proof.
% 0.81/1.08
% 0.81/1.08 Process 28926 exit (max_proofs) Fri Jul 8 03:44:40 2022
% 0.81/1.08 Prover9 interrupted
%------------------------------------------------------------------------------