TSTP Solution File: LAT390-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT390-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 : Sun Jul 17 06:28:35 EDT 2022
% Result : Unsatisfiable 1.26s 1.62s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT390-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 11:55:53 EDT 2022
% 0.19/0.34 % CPUTime :
% 1.26/1.62 ============================== Prover9 ===============================
% 1.26/1.62 Prover9 (32) version 2009-11A, November 2009.
% 1.26/1.62 Process 24891 was started by sandbox on n006.cluster.edu,
% 1.26/1.62 Wed Jun 29 11:55:54 2022
% 1.26/1.62 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_24738_n006.cluster.edu".
% 1.26/1.62 ============================== end of head ===========================
% 1.26/1.62
% 1.26/1.62 ============================== INPUT =================================
% 1.26/1.62
% 1.26/1.62 % Reading from file /tmp/Prover9_24738_n006.cluster.edu
% 1.26/1.62
% 1.26/1.62 set(prolog_style_variables).
% 1.26/1.62 set(auto2).
% 1.26/1.62 % set(auto2) -> set(auto).
% 1.26/1.62 % set(auto) -> set(auto_inference).
% 1.26/1.62 % set(auto) -> set(auto_setup).
% 1.26/1.62 % set(auto_setup) -> set(predicate_elim).
% 1.26/1.62 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.26/1.62 % set(auto) -> set(auto_limits).
% 1.26/1.62 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.26/1.62 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.26/1.62 % set(auto) -> set(auto_denials).
% 1.26/1.62 % set(auto) -> set(auto_process).
% 1.26/1.62 % set(auto2) -> assign(new_constants, 1).
% 1.26/1.62 % set(auto2) -> assign(fold_denial_max, 3).
% 1.26/1.62 % set(auto2) -> assign(max_weight, "200.000").
% 1.26/1.62 % set(auto2) -> assign(max_hours, 1).
% 1.26/1.62 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.26/1.62 % set(auto2) -> assign(max_seconds, 0).
% 1.26/1.62 % set(auto2) -> assign(max_minutes, 5).
% 1.26/1.62 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.26/1.62 % set(auto2) -> set(sort_initial_sos).
% 1.26/1.62 % set(auto2) -> assign(sos_limit, -1).
% 1.26/1.62 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.26/1.62 % set(auto2) -> assign(max_megs, 400).
% 1.26/1.62 % set(auto2) -> assign(stats, some).
% 1.26/1.62 % set(auto2) -> clear(echo_input).
% 1.26/1.62 % set(auto2) -> set(quiet).
% 1.26/1.62 % set(auto2) -> clear(print_initial_clauses).
% 1.26/1.62 % set(auto2) -> clear(print_given).
% 1.26/1.62 assign(lrs_ticks,-1).
% 1.26/1.62 assign(sos_limit,10000).
% 1.26/1.62 assign(order,kbo).
% 1.26/1.62 set(lex_order_vars).
% 1.26/1.62 clear(print_given).
% 1.26/1.62
% 1.26/1.62 % formulas(sos). % not echoed (2 formulas)
% 1.26/1.62
% 1.26/1.62 ============================== end of input ==========================
% 1.26/1.62
% 1.26/1.62 % From the command line: assign(max_seconds, 300).
% 1.26/1.62
% 1.26/1.62 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.26/1.62
% 1.26/1.62 % Formulas that are not ordinary clauses:
% 1.26/1.62
% 1.26/1.62 ============================== end of process non-clausal formulas ===
% 1.26/1.62
% 1.26/1.62 ============================== PROCESS INITIAL CLAUSES ===============
% 1.26/1.62
% 1.26/1.62 ============================== PREDICATE ELIMINATION =================
% 1.26/1.62
% 1.26/1.62 ============================== end predicate elimination =============
% 1.26/1.62
% 1.26/1.62 Auto_denials:
% 1.26/1.62 % copying label goals to answer in negative clause
% 1.26/1.62
% 1.26/1.62 Term ordering decisions:
% 1.26/1.62 Function symbol KB weights: a=1. b=1. c=1. mult=1. plus=1.
% 1.26/1.62
% 1.26/1.62 ============================== end of process initial clauses ========
% 1.26/1.62
% 1.26/1.62 ============================== CLAUSES FOR SEARCH ====================
% 1.26/1.62
% 1.26/1.62 ============================== end of clauses for search =============
% 1.26/1.62
% 1.26/1.62 ============================== SEARCH ================================
% 1.26/1.62
% 1.26/1.62 % Starting search at 0.01 seconds.
% 1.26/1.62
% 1.26/1.62 ============================== PROOF =================================
% 1.26/1.62 % SZS status Unsatisfiable
% 1.26/1.62 % SZS output start Refutation
% 1.26/1.62
% 1.26/1.62 % Proof 1 at 0.62 (+ 0.01) seconds: goals.
% 1.26/1.62 % Length of proof is 65.
% 1.26/1.62 % Level of proof is 28.
% 1.26/1.62 % Maximum clause weight is 171.000.
% 1.26/1.62 % Given clauses 66.
% 1.26/1.62
% 1.26/1.62 1 mult(plus(mult(plus(A,B),plus(B,mult(A,B))),C),plus(mult(plus(A,mult(mult(plus(D,B),plus(B,E)),B)),plus(mult(plus(B,plus(plus(mult(D,mult(B,E)),mult(F,B)),B)),plus(V6,mult(B,plus(plus(mult(B,V7),mult(F,B)),B)))),mult(A,mult(mult(plus(D,B),plus(B,E)),B)))),mult(mult(plus(A,B),plus(B,mult(A,B))),C))) = B # label(sos) # label(axiom). [assumption].
% 1.26/1.62 2 plus(a,mult(b,mult(a,c))) != a # label(goals) # label(negated_conjecture) # answer(goals). [assumption].
% 1.26/1.62 3 mult(plus(mult(plus(A,mult(plus(B,C),plus(C,mult(B,C)))),plus(mult(plus(B,C),plus(C,mult(B,C))),mult(A,mult(plus(B,C),plus(C,mult(B,C)))))),D),plus(mult(plus(A,mult(mult(plus(mult(plus(B,C),plus(C,mult(B,C))),mult(plus(B,C),plus(C,mult(B,C)))),plus(mult(plus(B,C),plus(C,mult(B,C))),E)),mult(plus(B,C),plus(C,mult(B,C))))),plus(C,mult(A,mult(mult(plus(mult(plus(B,C),plus(C,mult(B,C))),mult(plus(B,C),plus(C,mult(B,C)))),plus(mult(plus(B,C),plus(C,mult(B,C))),E)),mult(plus(B,C),plus(C,mult(B,C))))))),mult(mult(plus(A,mult(plus(B,C),plus(C,mult(B,C)))),plus(mult(plus(B,C),plus(C,mult(B,C))),mult(A,mult(plus(B,C),plus(C,mult(B,C)))))),D))) = mult(plus(B,C),plus(C,mult(B,C))). [para(1(a,1),1(a,1,2,1,2,1))].
% 1.26/1.62 4 mult(plus(mult(plus(A,B),plus(B,mult(A,B))),C),plus(mult(plus(A,mult(mult(plus(B,B),plus(B,D)),B)),plus(mult(plus(E,mult(mult(plus(F,B),plus(B,V6)),B)),plus(mult(plus(B,plus(plus(mult(F,mult(B,V6)),mult(V7,B)),B)),plus(V8,mult(B,plus(plus(mult(B,V9),mult(V7,B)),B)))),mult(E,mult(mult(plus(F,B),plus(B,V6)),B)))),mult(A,mult(mult(plus(B,B),plus(B,D)),B)))),mult(mult(plus(A,B),plus(B,mult(A,B))),C))) = B. [para(1(a,1),3(a,1,1,1,1,2)),rewrite([1(88),1(88),1(92),1(92),1(93),1(95),1(122),1(122),1(123),1(125),1(129),1(130),1(130),1(136)])].
% 1.26/1.62 5 mult(plus(mult(plus(mult(plus(A,B),plus(B,mult(A,B))),B),plus(B,mult(mult(plus(A,B),plus(B,mult(A,B))),B))),C),plus(B,mult(mult(plus(mult(plus(A,B),plus(B,mult(A,B))),B),plus(B,mult(mult(plus(A,B),plus(B,mult(A,B))),B))),C))) = B. [para(1(a,1),4(a,1,2,1))].
% 1.26/1.62 6 mult(plus(mult(plus(A,B),plus(B,mult(A,B))),C),plus(mult(plus(A,mult(mult(plus(B,B),plus(B,D)),B)),plus(mult(plus(E,mult(mult(plus(B,B),plus(B,F)),B)),plus(mult(plus(V6,mult(mult(plus(V7,B),plus(B,V8)),B)),plus(mult(plus(B,plus(plus(mult(V7,mult(B,V8)),mult(V9,B)),B)),plus(V10,mult(B,plus(plus(mult(B,V11),mult(V9,B)),B)))),mult(V6,mult(mult(plus(V7,B),plus(B,V8)),B)))),mult(E,mult(mult(plus(B,B),plus(B,F)),B)))),mult(A,mult(mult(plus(B,B),plus(B,D)),B)))),mult(mult(plus(A,B),plus(B,mult(A,B))),C))) = B. [para(4(a,1),3(a,1,1,1,1,2)),rewrite([4(124),4(124),4(128),4(128),4(129),4(131),4(170),4(170),4(171),4(173),4(177),4(178),4(178),4(184)])].
% 1.26/1.62 9 mult(plus(mult(plus(A,B),plus(B,mult(A,B))),C),plus(mult(plus(A,mult(mult(plus(B,B),plus(B,D)),B)),plus(B,mult(A,mult(mult(plus(B,B),plus(B,D)),B)))),mult(mult(plus(A,B),plus(B,mult(A,B))),C))) = B. [para(5(a,1),3(a,1,1,1,1,2)),rewrite([5(29),5(29),5(33),5(33),5(34),5(36),5(38),5(38),5(39),5(41),5(45),5(46),5(46),5(52)])].
% 1.26/1.62 15 mult(plus(A,B),plus(A,mult(A,B))) = A. [para(5(a,1),5(a,1,1,1)),rewrite([5(29)])].
% 1.26/1.62 36 mult(plus(plus(A,B),plus(A,mult(A,B))),plus(plus(A,B),A)) = plus(A,B). [para(15(a,1),15(a,1,2,2))].
% 1.26/1.62 42 mult(plus(mult(plus(A,B),plus(B,mult(A,B))),C),plus(mult(plus(A,mult(mult(plus(B,B),plus(B,D)),B)),plus(mult(plus(E,mult(mult(plus(B,B),plus(B,F)),B)),plus(mult(plus(V6,mult(mult(plus(B,B),plus(B,V7)),B)),plus(mult(plus(V8,mult(mult(plus(V9,B),plus(B,V10)),B)),plus(mult(plus(B,plus(plus(mult(V9,mult(B,V10)),mult(V11,B)),B)),plus(V12,mult(B,plus(plus(mult(B,V13),mult(V11,B)),B)))),mult(V8,mult(mult(plus(V9,B),plus(B,V10)),B)))),mult(V6,mult(mult(plus(B,B),plus(B,V7)),B)))),mult(E,mult(mult(plus(B,B),plus(B,F)),B)))),mult(A,mult(mult(plus(B,B),plus(B,D)),B)))),mult(mult(plus(A,B),plus(B,mult(A,B))),C))) = B. [para(6(a,1),3(a,1,1,1,1,2)),rewrite([6(160),6(160),6(164),6(164),6(165),6(167),6(218),6(218),6(219),6(221),6(225),6(226),6(226),6(232)])].
% 1.26/1.62 54 mult(plus(A,mult(mult(plus(B,C),plus(C,D)),C)),plus(mult(plus(C,plus(plus(mult(B,mult(C,D)),mult(E,C)),C)),plus(F,mult(C,plus(plus(mult(C,V6),mult(E,C)),C)))),mult(A,mult(mult(plus(B,C),plus(C,D)),C)))) = C. [para(1(a,1),9(a,1,1,1)),rewrite([1(246),1(88),15(4)]),flip(a)].
% 1.26/1.62 57 mult(plus(A,mult(mult(plus(B,B),plus(B,C)),B)),plus(B,mult(A,mult(mult(plus(B,B),plus(B,C)),B)))) = B. [para(9(a,1),4(a,1,1,1)),rewrite([54(251),9(129),9(49),15(4)]),flip(a)].
% 1.26/1.62 65 mult(plus(plus(mult(plus(A,B),plus(B,mult(A,B))),C),plus(B,mult(mult(plus(A,B),plus(B,mult(A,B))),C))),plus(plus(mult(plus(A,B),plus(B,mult(A,B))),C),B)) = plus(mult(plus(A,B),plus(B,mult(A,B))),C). [para(9(a,1),15(a,1,2,2)),rewrite([57(17)])].
% 1.26/1.62 75 mult(plus(mult(plus(A,B),plus(B,mult(A,B))),C),plus(B,mult(mult(plus(A,B),plus(B,mult(A,B))),C))) = B. [back_rewrite(42),rewrite([54(45),57(27),57(22),57(17)])].
% 1.26/1.62 80 mult(plus(A,mult(B,B)),plus(B,mult(A,mult(B,B)))) = B. [para(15(a,1),57(a,1,1,2,1)),rewrite([15(6)])].
% 1.26/1.62 83 mult(plus(plus(A,mult(B,B)),plus(B,mult(A,mult(B,B)))),plus(plus(A,mult(B,B)),B)) = plus(A,mult(B,B)). [para(80(a,1),15(a,1,2,2))].
% 1.26/1.62 84 mult(plus(plus(plus(A,mult(B,B)),plus(B,mult(A,mult(B,B)))),plus(plus(A,mult(B,B)),B)),plus(plus(plus(A,mult(B,B)),plus(B,mult(A,mult(B,B)))),plus(A,mult(B,B)))) = plus(plus(A,mult(B,B)),plus(B,mult(A,mult(B,B)))). [para(80(a,1),36(a,1,1,2,2))].
% 1.26/1.62 123 mult(plus(A,plus(plus(mult(B,mult(A,C)),mult(D,A)),A)),plus(E,mult(A,plus(plus(mult(A,F),mult(D,A)),A)))) = A. [para(54(a,1),15(a,1)),flip(a)].
% 1.26/1.62 142 mult(plus(A,mult(mult(plus(B,C),plus(C,D)),C)),plus(C,mult(A,mult(mult(plus(B,C),plus(C,D)),C)))) = C. [back_rewrite(54),rewrite([123(18)])].
% 1.26/1.62 156 mult(plus(A,B),plus(plus(plus(mult(A,mult(A,C)),mult(D,A)),A),mult(A,B))) = plus(plus(mult(A,mult(A,C)),mult(D,A)),A). [para(123(a,1),75(a,1,1,1)),rewrite([123(25)])].
% 1.26/1.62 157 mult(plus(plus(plus(mult(A,mult(A,B)),mult(C,A)),A),D),plus(plus(plus(mult(A,mult(A,B)),mult(C,A)),A),mult(A,D))) = plus(plus(mult(A,mult(A,B)),mult(C,A)),A). [para(123(a,1),75(a,1,2,2,1)),rewrite([156(19)])].
% 1.26/1.62 158 mult(plus(A,B),plus(B,mult(A,B))) = B. [para(123(a,1),75(a,1))].
% 1.26/1.62 163 plus(plus(plus(mult(A,mult(A,B)),mult(C,A)),A),D) = plus(A,D). [para(123(a,1),65(a,2,1)),rewrite([158(19),158(30),158(38),36(32)])].
% 1.26/1.62 178 plus(plus(mult(A,mult(A,B)),mult(C,A)),A) = A. [back_rewrite(157),rewrite([163(6),163(8),15(4)]),flip(a)].
% 1.26/1.62 179 mult(plus(plus(A,B),plus(B,mult(A,B))),plus(plus(A,B),B)) = plus(A,B). [para(158(a,1),15(a,1,2,2))].
% 1.26/1.62 180 mult(plus(plus(plus(A,B),plus(B,mult(A,B))),plus(plus(A,B),B)),plus(plus(plus(A,B),plus(B,mult(A,B))),plus(A,B))) = plus(plus(A,B),plus(B,mult(A,B))). [para(158(a,1),36(a,1,1,2,2))].
% 1.26/1.62 184 mult(plus(plus(A,mult(B,B)),plus(B,mult(A,mult(B,B)))),plus(plus(B,mult(A,mult(B,B))),B)) = plus(B,mult(A,mult(B,B))). [para(80(a,1),158(a,1,2,2))].
% 1.26/1.62 204 mult(plus(plus(mult(A,mult(A,B)),mult(A,A)),plus(A,mult(mult(A,mult(A,B)),mult(A,A)))),A) = plus(mult(A,mult(A,B)),mult(A,A)). [para(178(a,1),83(a,1,2))].
% 1.26/1.62 211 mult(plus(A,A),plus(B,mult(A,plus(plus(mult(A,C),mult(D,A)),A)))) = A. [para(178(a,1),123(a,1,1,2))].
% 1.26/1.62 216 mult(A,plus(A,mult(plus(mult(A,mult(A,B)),mult(C,A)),A))) = A. [para(178(a,1),158(a,1,1))].
% 1.26/1.62 237 plus(plus(mult(A,A),mult(B,A)),A) = A. [para(216(a,1),178(a,1,1,1,2))].
% 1.26/1.62 280 plus(plus(mult(plus(plus(A,B),B),plus(plus(A,B),B)),plus(A,B)),plus(plus(A,B),B)) = plus(plus(A,B),B). [para(179(a,1),237(a,1,1,2))].
% 1.26/1.62 330 mult(plus(plus(plus(mult(A,mult(A,B)),mult(A,A)),plus(A,mult(mult(A,mult(A,B)),mult(A,A)))),A),plus(plus(plus(mult(A,mult(A,B)),mult(A,A)),plus(A,mult(mult(A,mult(A,B)),mult(A,A)))),plus(mult(A,mult(A,B)),mult(A,A)))) = plus(plus(mult(A,mult(A,B)),mult(A,A)),plus(A,mult(mult(A,mult(A,B)),mult(A,A)))). [para(178(a,1),84(a,1,1,2))].
% 1.26/1.62 352 mult(plus(A,A),plus(B,mult(A,A))) = A. [para(178(a,1),211(a,1,2,2,2))].
% 1.26/1.62 360 mult(A,A) = A. [para(352(a,1),80(a,1))].
% 1.26/1.62 363 mult(mult(plus(A,B),plus(B,C)),B) = B. [para(352(a,1),142(a,1))].
% 1.26/1.62 376 plus(plus(plus(A,B),B),plus(A,B)) = plus(A,B). [para(352(a,1),237(a,1,1,2)),rewrite([360(1),360(2),360(3),360(3),360(5)])].
% 1.26/1.62 393 mult(plus(plus(plus(mult(A,mult(A,B)),A),plus(A,mult(mult(A,mult(A,B)),A))),A),plus(plus(plus(mult(A,mult(A,B)),A),plus(A,mult(mult(A,mult(A,B)),A))),plus(mult(A,mult(A,B)),A))) = plus(plus(mult(A,mult(A,B)),A),plus(A,mult(mult(A,mult(A,B)),A))). [back_rewrite(330),rewrite([360(3),360(6),360(12),360(15),360(20),360(25),360(28)])].
% 1.35/1.62 416 plus(plus(A,B),plus(plus(A,B),B)) = plus(plus(A,B),B). [back_rewrite(280),rewrite([360(5),376(4)])].
% 1.35/1.62 437 plus(plus(A,mult(B,A)),A) = A. [back_rewrite(237),rewrite([360(1)])].
% 1.35/1.62 439 mult(plus(plus(mult(A,mult(A,B)),A),plus(A,mult(mult(A,mult(A,B)),A))),A) = plus(mult(A,mult(A,B)),A). [back_rewrite(204),rewrite([360(3),360(6),360(12)])].
% 1.35/1.62 441 mult(plus(plus(A,B),plus(B,mult(A,B))),B) = plus(B,mult(A,B)). [back_rewrite(184),rewrite([360(1),360(2),360(5),437(7),360(6)])].
% 1.35/1.62 456 plus(A,mult(mult(A,mult(A,B)),A)) = plus(mult(A,mult(A,B)),A). [back_rewrite(439),rewrite([441(9)])].
% 1.35/1.62 473 mult(plus(plus(plus(mult(A,mult(A,B)),A),plus(mult(A,mult(A,B)),A)),A),plus(plus(plus(mult(A,mult(A,B)),A),plus(mult(A,mult(A,B)),A)),plus(mult(A,mult(A,B)),A))) = plus(plus(mult(A,mult(A,B)),A),plus(mult(A,mult(A,B)),A)). [back_rewrite(393),rewrite([456(7),456(15),456(27)])].
% 1.35/1.62 476 plus(A,A) = A. [para(360(a,1),15(a,1,2,2)),rewrite([360(3)])].
% 1.35/1.62 478 mult(plus(A,plus(plus(mult(B,mult(A,C)),A),A)),plus(D,mult(A,plus(plus(mult(A,E),A),A)))) = A. [para(360(a,1),123(a,1,1,2,1,2)),rewrite([360(7)])].
% 1.35/1.62 479 plus(plus(mult(A,mult(A,B)),A),A) = A. [para(360(a,1),178(a,1,1,2))].
% 1.35/1.62 482 mult(A,plus(B,A)) = A. [para(360(a,1),211(a,1,2,2,2,1,1)),rewrite([476(1),437(3),360(1)])].
% 1.35/1.62 485 plus(mult(A,mult(A,B)),A) = A. [back_rewrite(473),rewrite([476(7),479(4),476(7),476(7),482(4),476(7)]),flip(a)].
% 1.35/1.62 495 mult(plus(A,plus(plus(mult(B,mult(A,C)),A),A)),plus(D,A)) = A. [back_rewrite(478),rewrite([482(9)])].
% 1.35/1.62 535 plus(mult(plus(A,B),B),plus(A,B)) = plus(A,B). [para(158(a,1),485(a,1,1,2))].
% 1.35/1.62 546 mult(plus(plus(plus(A,plus(B,A)),plus(plus(B,A),A)),plus(plus(A,plus(B,A)),plus(B,A))),plus(plus(plus(A,plus(B,A)),plus(plus(B,A),A)),plus(A,plus(B,A)))) = plus(plus(A,plus(B,A)),plus(plus(B,A),A)). [para(482(a,1),180(a,1,1,1,2,2)),rewrite([482(15),482(24)])].
% 1.35/1.62 549 mult(mult(A,plus(A,B)),A) = A. [para(178(a,1),363(a,1,1,1))].
% 1.35/1.62 553 mult(plus(A,B),B) = B. [para(482(a,1),363(a,1,1))].
% 1.35/1.62 558 plus(A,plus(B,A)) = plus(B,A). [back_rewrite(535),rewrite([553(2)])].
% 1.35/1.62 561 plus(plus(A,B),B) = plus(A,B). [back_rewrite(546),rewrite([558(2),416(4),558(4),476(5),376(4),558(3),416(5),558(5),376(5),360(3),558(3),416(5)]),flip(a)].
% 1.35/1.62 576 mult(plus(mult(A,mult(B,C)),B),plus(D,B)) = B. [back_rewrite(495),rewrite([561(4),558(4)])].
% 1.35/1.62 593 plus(mult(A,plus(A,B)),A) = mult(A,plus(A,B)). [para(549(a,1),15(a,1,2,2)),rewrite([360(7)])].
% 1.35/1.62 684 plus(mult(A,mult(B,C)),B) = B. [para(576(a,1),360(a,1)),flip(a)].
% 1.35/1.62 710 mult(plus(A,plus(mult(B,mult(A,C)),mult(mult(B,mult(A,C)),A))),plus(A,mult(B,mult(A,C)))) = A. [para(684(a,1),36(a,1,1,1)),rewrite([684(10),684(14)])].
% 1.35/1.62 715 plus(mult(A,B),A) = A. [para(360(a,1),684(a,1,1))].
% 1.35/1.62 724 mult(A,plus(A,B)) = A. [back_rewrite(593),rewrite([715(3)]),flip(a)].
% 1.35/1.62 743 mult(mult(A,mult(B,C)),B) = mult(A,mult(B,C)). [para(684(a,1),724(a,1,2))].
% 1.35/1.62 754 plus(A,mult(B,mult(A,C))) = A. [back_rewrite(710),rewrite([743(5),476(5),360(7)])].
% 1.35/1.62 755 $F # answer(goals). [resolve(754,a,2,a)].
% 1.35/1.62
% 1.35/1.62 % SZS output end Refutation
% 1.35/1.62 ============================== end of proof ==========================
% 1.35/1.62
% 1.35/1.62 ============================== STATISTICS ============================
% 1.35/1.62
% 1.35/1.62 Given=66. Generated=4868. Kept=754. proofs=1.
% 1.35/1.62 Usable=19. Sos=60. Demods=89. Limbo=11, Disabled=665. Hints=0.
% 1.35/1.62 Megabytes=2.24.
% 1.35/1.62 User_CPU=0.62, System_CPU=0.01, Wall_clock=0.
% 1.35/1.62
% 1.35/1.62 ============================== end of statistics =====================
% 1.35/1.62
% 1.35/1.62 ============================== end of search =========================
% 1.35/1.62
% 1.35/1.62 THEOREM PROVED
% 1.35/1.62 % SZS status Unsatisfiable
% 1.35/1.62
% 1.35/1.62 Exiting with 1 proof.
% 1.35/1.62
% 1.35/1.62 Process 24891 exit (max_proofs) Wed Jun 29 11:55:54 2022
% 1.35/1.62 Prover9 interrupted
%------------------------------------------------------------------------------