TSTP Solution File: GRP660-11 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP660-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 : Sat Jul 16 11:20:23 EDT 2022
% Result : Unsatisfiable 1.54s 1.79s
% Output : Refutation 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP660-11 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 00:10:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.54/1.79 ============================== Prover9 ===============================
% 1.54/1.79 Prover9 (32) version 2009-11A, November 2009.
% 1.54/1.79 Process 10935 was started by sandbox2 on n003.cluster.edu,
% 1.54/1.79 Tue Jun 14 00:10:40 2022
% 1.54/1.79 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_10781_n003.cluster.edu".
% 1.54/1.79 ============================== end of head ===========================
% 1.54/1.79
% 1.54/1.79 ============================== INPUT =================================
% 1.54/1.79
% 1.54/1.79 % Reading from file /tmp/Prover9_10781_n003.cluster.edu
% 1.54/1.79
% 1.54/1.79 set(prolog_style_variables).
% 1.54/1.79 set(auto2).
% 1.54/1.79 % set(auto2) -> set(auto).
% 1.54/1.79 % set(auto) -> set(auto_inference).
% 1.54/1.79 % set(auto) -> set(auto_setup).
% 1.54/1.79 % set(auto_setup) -> set(predicate_elim).
% 1.54/1.79 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.54/1.79 % set(auto) -> set(auto_limits).
% 1.54/1.79 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.54/1.79 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.54/1.79 % set(auto) -> set(auto_denials).
% 1.54/1.79 % set(auto) -> set(auto_process).
% 1.54/1.79 % set(auto2) -> assign(new_constants, 1).
% 1.54/1.79 % set(auto2) -> assign(fold_denial_max, 3).
% 1.54/1.79 % set(auto2) -> assign(max_weight, "200.000").
% 1.54/1.79 % set(auto2) -> assign(max_hours, 1).
% 1.54/1.79 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.54/1.79 % set(auto2) -> assign(max_seconds, 0).
% 1.54/1.79 % set(auto2) -> assign(max_minutes, 5).
% 1.54/1.79 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.54/1.79 % set(auto2) -> set(sort_initial_sos).
% 1.54/1.79 % set(auto2) -> assign(sos_limit, -1).
% 1.54/1.79 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.54/1.79 % set(auto2) -> assign(max_megs, 400).
% 1.54/1.79 % set(auto2) -> assign(stats, some).
% 1.54/1.79 % set(auto2) -> clear(echo_input).
% 1.54/1.79 % set(auto2) -> set(quiet).
% 1.54/1.79 % set(auto2) -> clear(print_initial_clauses).
% 1.54/1.79 % set(auto2) -> clear(print_given).
% 1.54/1.79 assign(lrs_ticks,-1).
% 1.54/1.79 assign(sos_limit,10000).
% 1.54/1.79 assign(order,kbo).
% 1.54/1.79 set(lex_order_vars).
% 1.54/1.79 clear(print_given).
% 1.54/1.79
% 1.54/1.79 % formulas(sos). % not echoed (6 formulas)
% 1.54/1.79
% 1.54/1.79 ============================== end of input ==========================
% 1.54/1.79
% 1.54/1.79 % From the command line: assign(max_seconds, 300).
% 1.54/1.79
% 1.54/1.79 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.54/1.79
% 1.54/1.79 % Formulas that are not ordinary clauses:
% 1.54/1.79
% 1.54/1.79 ============================== end of process non-clausal formulas ===
% 1.54/1.79
% 1.54/1.79 ============================== PROCESS INITIAL CLAUSES ===============
% 1.54/1.79
% 1.54/1.79 ============================== PREDICATE ELIMINATION =================
% 1.54/1.79
% 1.54/1.79 ============================== end predicate elimination =============
% 1.54/1.79
% 1.54/1.79 Auto_denials:
% 1.54/1.79 % copying label goal to answer in negative clause
% 1.54/1.79
% 1.54/1.79 Term ordering decisions:
% 1.54/1.79 Function symbol KB weights: x0=1. x1=1. mult=1. ld=1. rd=1.
% 1.54/1.79
% 1.54/1.79 ============================== end of process initial clauses ========
% 1.54/1.79
% 1.54/1.79 ============================== CLAUSES FOR SEARCH ====================
% 1.54/1.79
% 1.54/1.79 ============================== end of clauses for search =============
% 1.54/1.79
% 1.54/1.79 ============================== SEARCH ================================
% 1.54/1.79
% 1.54/1.79 % Starting search at 0.01 seconds.
% 1.54/1.79
% 1.54/1.79 ============================== PROOF =================================
% 1.54/1.79 % SZS status Unsatisfiable
% 1.54/1.79 % SZS output start Refutation
% 1.54/1.79
% 1.54/1.79 % Proof 1 at 0.79 (+ 0.02) seconds: goal.
% 1.54/1.79 % Length of proof is 114.
% 1.54/1.79 % Level of proof is 23.
% 1.54/1.79 % Maximum clause weight is 35.000.
% 1.54/1.79 % Given clauses 139.
% 1.54/1.79
% 1.54/1.79 1 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [assumption].
% 1.54/1.79 2 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [assumption].
% 1.54/1.79 3 mult(rd(A,B),B) = A # label(f03) # label(axiom). [assumption].
% 1.54/1.79 4 rd(mult(A,B),B) = A # label(f04) # label(axiom). [assumption].
% 1.54/1.79 5 mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) # label(f05) # label(axiom). [assumption].
% 1.54/1.79 6 mult(x0,rd(x1,x1)) != x0 # label(goal) # label(negated_conjecture) # answer(goal). [assumption].
% 1.54/1.79 7 ld(rd(A,B),A) = B. [para(3(a,1),2(a,1,2))].
% 1.54/1.79 8 rd(A,ld(B,A)) = B. [para(1(a,1),4(a,1,1))].
% 1.54/1.79 9 mult(A,mult(ld(A,B),mult(C,A))) = mult(mult(B,C),A). [para(1(a,1),5(a,1,1,1)),flip(a)].
% 1.54/1.79 10 mult(A,mult(B,mult(ld(mult(A,B),C),A))) = mult(C,A). [para(1(a,1),5(a,1,1)),flip(a)].
% 1.54/1.79 11 ld(mult(mult(A,B),C),mult(A,mult(B,mult(C,A)))) = A. [para(5(a,1),2(a,1,2))].
% 1.54/1.79 13 rd(mult(A,mult(B,mult(C,A))),A) = mult(mult(A,B),C). [para(5(a,1),4(a,1,1))].
% 1.54/1.79 16 mult(ld(A,B),mult(ld(ld(A,B),C),B)) = mult(mult(C,A),ld(A,B)). [para(1(a,1),9(a,1,2,2))].
% 1.54/1.79 17 ld(A,mult(mult(B,C),A)) = mult(ld(A,B),mult(C,A)). [para(9(a,1),2(a,1,2))].
% 1.54/1.79 18 mult(mult(A,rd(B,C)),C) = mult(C,mult(ld(C,A),B)). [para(3(a,1),9(a,1,2,2)),flip(a)].
% 1.54/1.79 24 mult(A,mult(ld(mult(B,A),C),B)) = ld(B,mult(C,B)). [para(10(a,1),2(a,1,2)),flip(a)].
% 1.54/1.79 34 ld(mult(mult(mult(A,B),B),ld(B,C)),mult(mult(A,B),mult(mult(C,A),B))) = mult(A,B). [para(9(a,1),11(a,1,2,2))].
% 1.54/1.79 43 rd(mult(A,mult(B,C)),A) = mult(mult(A,B),rd(C,A)). [para(3(a,1),13(a,1,1,2,2))].
% 1.54/1.79 44 mult(mult(A,rd(B,mult(C,A))),C) = rd(mult(A,B),A). [para(3(a,1),13(a,1,1,2)),flip(a)].
% 1.54/1.79 47 mult(ld(A,B),mult(ld(B,C),A)) = ld(A,mult(C,A)). [para(1(a,1),17(a,1,2,1)),flip(a)].
% 1.54/1.79 50 mult(ld(A,rd(B,C)),mult(C,A)) = ld(A,mult(B,A)). [para(3(a,1),17(a,1,2,1)),flip(a)].
% 1.54/1.79 102 ld(A,ld(B,mult(C,B))) = mult(ld(mult(B,A),C),B). [para(24(a,1),2(a,1,2))].
% 1.54/1.79 103 ld(rd(A,B),mult(C,rd(A,B))) = mult(B,mult(ld(A,C),rd(A,B))). [para(3(a,1),24(a,1,2,1,1)),flip(a)].
% 1.54/1.79 146 mult(mult(A,B),rd(ld(B,C),A)) = rd(mult(A,C),A). [para(1(a,1),43(a,1,1,2)),flip(a)].
% 1.54/1.79 147 mult(mult(A,rd(B,C)),rd(C,A)) = rd(mult(A,B),A). [para(3(a,1),43(a,1,1,2)),flip(a)].
% 1.54/1.79 163 rd(mult(ld(A,B),C),ld(A,B)) = mult(mult(ld(A,B),rd(C,B)),A). [para(1(a,1),44(a,1,1,2,2)),flip(a)].
% 1.54/1.79 165 rd(rd(mult(A,B),A),C) = mult(A,rd(B,mult(C,A))). [para(44(a,1),4(a,1,1))].
% 1.54/1.79 266 ld(ld(A,B),mult(C,ld(A,B))) = mult(ld(ld(A,B),rd(C,A)),B). [para(1(a,1),50(a,1,2)),flip(a)].
% 1.54/1.79 267 mult(ld(A,rd(B,rd(C,A))),C) = ld(A,mult(B,A)). [para(3(a,1),50(a,1,2))].
% 1.54/1.79 325 mult(ld(mult(A,B),A),A) = ld(B,A). [para(2(a,1),102(a,1,2)),flip(a)].
% 1.54/1.79 326 mult(ld(mult(A,B),rd(C,A)),A) = ld(B,ld(A,C)). [para(3(a,1),102(a,1,2,2)),flip(a)].
% 1.54/1.79 349 ld(ld(A,B),A) = mult(ld(B,A),A). [para(1(a,1),325(a,1,1,1)),flip(a)].
% 1.54/1.79 350 ld(ld(mult(A,B),A),ld(B,A)) = A. [para(325(a,1),2(a,1,2))].
% 1.54/1.79 351 mult(ld(A,rd(A,B)),rd(A,B)) = ld(B,rd(A,B)). [para(3(a,1),325(a,1,1,1))].
% 1.54/1.79 352 rd(ld(A,B),B) = ld(mult(B,A),B). [para(325(a,1),4(a,1,1))].
% 1.54/1.79 388 rd(A,mult(ld(B,A),A)) = ld(A,B). [para(349(a,1),8(a,1,2))].
% 1.54/1.79 397 ld(mult(ld(A,B),B),ld(B,A)) = mult(ld(B,ld(B,A)),ld(B,A)). [para(349(a,1),349(a,1,1))].
% 1.54/1.79 470 ld(mult(A,rd(A,B)),A) = rd(B,A). [para(7(a,1),352(a,1,1)),flip(a)].
% 1.54/1.79 479 rd(A,mult(B,A)) = ld(A,rd(A,B)). [para(7(a,1),388(a,1,2,1))].
% 1.54/1.79 484 rd(A,rd(B,A)) = mult(A,rd(A,B)). [para(470(a,1),8(a,1,2))].
% 1.54/1.79 498 ld(ld(A,B),rd(ld(A,B),A)) = ld(mult(B,A),B). [para(1(a,1),479(a,1,2)),rewrite([352(2)]),flip(a)].
% 1.54/1.79 566 rd(mult(A,B),ld(B,rd(B,A))) = mult(mult(A,B),A). [para(4(a,1),484(a,2,2)),rewrite([479(3)])].
% 1.54/1.79 574 mult(A,rd(ld(ld(B,A),C),B)) = rd(mult(B,C),B). [para(1(a,1),146(a,1,1))].
% 1.54/1.79 575 ld(mult(A,B),rd(mult(A,C),A)) = rd(ld(B,C),A). [para(146(a,1),2(a,1,2))].
% 1.54/1.79 576 rd(mult(rd(A,B),C),rd(A,B)) = mult(A,rd(ld(B,C),rd(A,B))). [para(3(a,1),146(a,1,1)),flip(a)].
% 1.54/1.79 705 mult(A,rd(ld(A,B),mult(C,A))) = rd(rd(B,A),C). [para(1(a,1),165(a,1,1,1)),flip(a)].
% 1.54/1.79 735 rd(ld(A,mult(B,A)),C) = ld(A,rd(B,rd(C,A))). [para(267(a,1),4(a,1,1))].
% 1.54/1.79 777 ld(ld(A,B),ld(A,C)) = mult(ld(B,rd(C,A)),A). [para(1(a,1),326(a,1,1,1)),flip(a)].
% 1.54/1.79 780 rd(ld(A,ld(B,C)),B) = ld(mult(B,A),rd(C,B)). [para(326(a,1),4(a,1,1))].
% 1.54/1.79 1022 rd(rd(ld(A,B),A),ld(mult(B,A),B)) = ld(A,B). [para(498(a,1),8(a,1,2))].
% 1.54/1.79 1036 ld(ld(A,A),ld(mult(A,A),A)) = ld(mult(A,A),A). [para(352(a,1),498(a,1,2))].
% 1.54/1.79 1060 mult(ld(A,rd(B,A)),ld(B,rd(B,A))) = rd(ld(A,rd(B,A)),A). [para(351(a,1),566(a,1,1)),rewrite([8(7),7(4),351(7)]),flip(a)].
% 1.54/1.79 1106 rd(ld(ld(A,B),C),A) = ld(B,rd(mult(A,C),A)). [para(574(a,1),2(a,1,2)),flip(a)].
% 1.54/1.79 1204 rd(rd(A,B),rd(C,B)) = mult(B,rd(ld(B,A),C)). [para(3(a,1),705(a,1,2,2)),flip(a)].
% 1.54/1.79 1273 ld(mult(mult(A,B),B),mult(A,B)) = ld(B,rd(A,A)). [para(735(a,1),352(a,1)),rewrite([4(2)]),flip(a)].
% 1.54/1.79 1507 rd(ld(mult(A,A),A),ld(mult(A,A),A)) = ld(A,A). [para(352(a,1),1022(a,1,1))].
% 1.54/1.79 1596 mult(ld(mult(A,A),A),mult(ld(ld(mult(A,A),A),B),ld(A,A))) = mult(ld(ld(A,A),rd(B,A)),A). [para(1036(a,1),47(a,1,1)),rewrite([266(12)])].
% 1.54/1.79 1599 mult(ld(mult(A,A),A),ld(mult(A,A),A)) = ld(A,ld(mult(A,A),A)). [para(1036(a,1),349(a,2,1)),rewrite([350(4)]),flip(a)].
% 1.54/1.79 1643 ld(A,rd(mult(A,ld(mult(A,A),A)),A)) = ld(mult(A,mult(A,A)),A). [para(1036(a,1),1106(a,1,1)),rewrite([352(3)]),flip(a)].
% 1.54/1.79 1830 ld(rd(A,A),rd(A,A)) = rd(A,A). [para(147(a,1),1273(a,1,1)),rewrite([4(2),2(3)]),flip(a)].
% 1.54/1.79 1849 mult(rd(A,A),rd(A,A)) = rd(A,A). [para(1830(a,1),1(a,1,2))].
% 1.54/1.79 1850 mult(A,ld(mult(A,A),A)) = rd(A,A). [para(1830(a,1),8(a,1,2)),rewrite([1204(3),352(2)])].
% 1.54/1.79 1851 mult(rd(A,A),mult(rd(A,A),mult(B,rd(A,A)))) = mult(mult(rd(A,A),B),rd(A,A)). [para(1830(a,1),9(a,1,2,1))].
% 1.54/1.79 1853 mult(rd(A,A),mult(ld(rd(A,A),B),rd(A,A))) = mult(A,mult(ld(A,B),rd(A,A))). [para(1830(a,1),47(a,1,1)),rewrite([103(10)])].
% 1.54/1.79 1856 mult(mult(A,rd(B,B)),rd(B,B)) = mult(B,mult(ld(B,A),rd(B,B))). [para(1830(a,1),16(a,1,1)),rewrite([1830(4),1853(6),1830(9)]),flip(a)].
% 1.54/1.79 1864 mult(ld(rd(A,A),rd(B,rd(A,A))),rd(A,A)) = ld(rd(A,A),ld(rd(A,A),B)). [para(1830(a,1),777(a,1,1)),flip(a)].
% 1.54/1.79 1869 ld(mult(A,mult(A,A)),A) = ld(A,rd(rd(A,A),A)). [back_rewrite(1643),rewrite([1850(3)]),flip(a)].
% 1.54/1.79 1873 mult(A,mult(ld(A,rd(A,A)),A)) = A. [para(1849(a,1),18(a,1,1)),rewrite([3(2)]),flip(a)].
% 1.54/1.79 1876 mult(rd(A,A),mult(rd(A,A),B)) = mult(A,rd(ld(A,B),rd(A,A))). [para(1849(a,1),44(a,1,1,2,2)),rewrite([18(6),1830(4),576(8)])].
% 1.54/1.79 1878 ld(rd(A,A),ld(rd(A,A),B)) = mult(A,mult(ld(A,B),rd(A,A))). [para(1849(a,1),50(a,1,2)),rewrite([1864(6),103(8)])].
% 1.54/1.79 1903 mult(A,rd(ld(A,mult(B,rd(A,A))),rd(A,A))) = mult(mult(rd(A,A),B),rd(A,A)). [back_rewrite(1851),rewrite([1876(6)])].
% 1.54/1.79 1904 mult(ld(rd(A,A),rd(B,rd(A,A))),rd(A,A)) = mult(A,mult(ld(A,B),rd(A,A))). [back_rewrite(1864),rewrite([1878(10)])].
% 1.54/1.79 1907 ld(mult(A,A),A) = ld(A,rd(A,A)). [para(1850(a,1),2(a,1,2)),flip(a)].
% 1.54/1.79 1923 rd(ld(A,rd(A,A)),A) = ld(A,ld(A,rd(A,A))). [back_rewrite(1599),rewrite([1907(2),1907(4),1060(5),1907(5)])].
% 1.54/1.79 1926 mult(ld(A,rd(A,A)),mult(ld(ld(A,rd(A,A)),B),ld(A,A))) = mult(ld(ld(A,A),rd(B,A)),A). [back_rewrite(1596),rewrite([1907(2),1907(4)])].
% 1.54/1.79 1928 rd(ld(A,rd(A,A)),ld(A,rd(A,A))) = ld(A,A). [back_rewrite(1507),rewrite([1907(2),1907(4)])].
% 1.54/1.79 2023 mult(ld(A,rd(A,A)),A) = ld(A,A). [para(1873(a,1),2(a,1,2)),flip(a)].
% 1.54/1.79 2036 ld(ld(A,A),rd(A,A)) = ld(A,A). [para(1873(a,1),1273(a,1,1,1)),rewrite([2023(3),1(2),2023(3),1(2),2023(4)]),flip(a)].
% 1.54/1.79 2048 mult(ld(rd(rd(A,A),A),rd(rd(A,A),A)),A) = A. [para(1907(a,1),350(a,1,2)),rewrite([1869(3),777(6)])].
% 1.54/1.79 2050 ld(A,rd(rd(A,A),A)) = ld(A,ld(A,rd(A,A))). [para(1907(a,1),352(a,1,1)),rewrite([1923(3),1869(6)]),flip(a)].
% 1.54/1.79 2057 mult(ld(A,ld(A,rd(A,A))),A) = ld(A,rd(A,A)). [para(1907(a,1),498(a,2)),rewrite([352(3),1907(3),777(4),2050(3)])].
% 1.54/1.79 2091 mult(ld(A,A),ld(A,A)) = ld(A,A). [para(2023(a,1),47(a,1,2)),rewrite([3(5)])].
% 1.54/1.79 2102 mult(ld(ld(A,A),rd(B,ld(A,rd(A,A)))),ld(A,rd(A,A))) = ld(A,ld(ld(A,rd(A,A)),B)). [para(2023(a,1),326(a,1,1,1))].
% 1.54/1.79 2121 mult(ld(A,ld(A,A)),ld(A,A)) = ld(A,ld(A,A)). [para(2023(a,1),1273(a,1,1,1)),rewrite([2023(5),397(4),1928(9)])].
% 1.54/1.79 2214 rd(A,A) = ld(A,A). [para(2036(a,1),1(a,1,2)),rewrite([2091(3)]),flip(a)].
% 1.54/1.79 2215 mult(ld(A,ld(A,A)),A) = ld(A,A). [para(2036(a,1),8(a,1,2)),rewrite([2214(1),2214(3),777(3),2214(1)])].
% 1.54/1.79 2218 mult(ld(A,A),mult(ld(ld(A,A),B),ld(A,A))) = mult(ld(ld(A,A),rd(B,A)),A). [para(2036(a,1),47(a,1,1)),rewrite([2214(2),266(10)])].
% 1.54/1.79 2221 mult(ld(ld(A,A),rd(B,A)),A) = mult(mult(B,ld(A,A)),ld(A,A)). [para(2036(a,1),16(a,1,1)),rewrite([2214(3),777(4),2214(2),2215(4),2214(4),2218(6),2214(8),777(9),2214(7),2215(9)])].
% 1.54/1.79 2233 mult(ld(ld(A,A),rd(B,ld(A,A))),ld(A,A)) = ld(ld(A,A),ld(ld(A,A),B)). [para(2036(a,1),777(a,1,1)),rewrite([2214(5)]),flip(a)].
% 1.54/1.79 2238 ld(mult(mult(mult(A,ld(B,B)),ld(B,B)),ld(B,B)),mult(mult(A,ld(B,B)),mult(mult(ld(B,B),A),ld(B,B)))) = mult(A,ld(B,B)). [para(2036(a,1),34(a,1,1,2)),rewrite([2214(9)])].
% 1.54/1.79 2295 mult(ld(ld(A,A),rd(B,ld(A,ld(A,A)))),ld(A,ld(A,A))) = ld(A,ld(ld(A,ld(A,A)),B)). [back_rewrite(2102),rewrite([2214(2),2214(6),2214(9)])].
% 1.54/1.79 2331 mult(ld(A,ld(A,ld(A,A))),A) = ld(A,ld(A,A)). [back_rewrite(2057),rewrite([2214(1),2214(5)])].
% 1.54/1.79 2338 mult(ld(A,A),A) = A. [back_rewrite(2048),rewrite([2214(1),352(2),1907(2),2214(1),2214(3),352(4),1907(4),2214(3),777(5),352(3),1907(3),2214(2),777(4),352(2),1907(2),2214(1),2331(4),2215(3)])].
% 1.54/1.79 2356 mult(mult(A,ld(B,B)),ld(B,B)) = mult(mult(A,B),ld(B,ld(B,B))). [back_rewrite(1926),rewrite([2214(1),2214(3),16(8),2221(8)]),flip(a)].
% 1.54/1.79 2373 ld(ld(A,A),ld(ld(A,A),B)) = mult(A,mult(ld(A,B),ld(A,A))). [back_rewrite(1904),rewrite([2214(1),2214(2),2214(5),2233(6),2214(6)])].
% 1.54/1.79 2374 mult(A,rd(ld(A,mult(B,ld(A,A))),ld(A,A))) = mult(mult(ld(A,A),B),ld(A,A)). [back_rewrite(1903),rewrite([2214(1),2214(4),2214(7),2214(9)])].
% 1.54/1.79 2399 mult(mult(A,B),ld(B,ld(B,B))) = mult(B,mult(ld(B,A),ld(B,B))). [back_rewrite(1856),rewrite([2214(1),2214(3),2356(4),2214(6)])].
% 1.54/1.79 2459 mult(x0,ld(x1,x1)) != x0 # answer(goal). [back_rewrite(6),rewrite([2214(4)])].
% 1.54/1.79 2463 ld(mult(mult(A,mult(ld(A,B),ld(A,A))),ld(A,A)),mult(mult(B,ld(A,A)),mult(mult(ld(A,A),B),ld(A,A)))) = mult(B,ld(A,A)). [back_rewrite(2238),rewrite([2356(4),2399(4)])].
% 1.54/1.79 2464 mult(ld(ld(A,A),rd(B,A)),A) = mult(A,mult(ld(A,B),ld(A,A))). [back_rewrite(2221),rewrite([2356(8),2399(8)])].
% 1.54/1.79 2469 mult(ld(ld(A,A),rd(B,ld(A,A))),ld(A,A)) = mult(A,mult(ld(A,B),ld(A,A))). [back_rewrite(2233),rewrite([2373(10)])].
% 1.54/1.79 2470 mult(mult(A,ld(B,B)),ld(B,B)) = mult(B,mult(ld(B,A),ld(B,B))). [back_rewrite(2356),rewrite([2399(8)])].
% 1.54/1.79 2524 rd(ld(A,B),ld(A,A)) = mult(ld(A,ld(A,A)),B). [para(2338(a,1),575(a,1,1)),rewrite([163(4),18(4),2(5)]),flip(a)].
% 1.54/1.79 2543 mult(A,mult(ld(A,ld(A,A)),mult(B,ld(A,A)))) = mult(mult(ld(A,A),B),ld(A,A)). [back_rewrite(2374),rewrite([2524(5)])].
% 1.54/1.79 2621 rd(mult(A,mult(ld(A,B),ld(A,A))),ld(A,A)) = ld(ld(A,A),rd(B,ld(A,A))). [para(2091(a,1),780(a,2,1)),rewrite([2373(4)])].
% 1.54/1.79 3303 mult(ld(A,ld(A,A)),mult(A,B)) = mult(A,mult(ld(A,ld(A,A)),B)). [para(2121(a,1),44(a,1,1,2,2)),rewrite([18(8),777(6),2214(4),777(5),2214(3),2215(5),2338(4),163(8),18(8)])].
% 1.54/1.79 3305 ld(A,ld(ld(A,ld(A,A)),B)) = mult(A,mult(ld(A,B),ld(A,A))). [para(2121(a,1),50(a,1,2)),rewrite([2295(8),266(8),2464(8)])].
% 1.54/1.79 5826 ld(ld(A,A),rd(B,ld(A,A))) = B. [para(1(a,1),2524(a,2)),rewrite([3305(4),2621(6)])].
% 1.54/1.79 5827 mult(A,mult(ld(A,ld(A,A)),B)) = rd(B,ld(A,A)). [para(2(a,1),2524(a,1,1)),rewrite([3303(6)]),flip(a)].
% 1.54/1.79 5910 mult(A,mult(ld(A,B),ld(A,A))) = mult(B,ld(A,A)). [back_rewrite(2469),rewrite([5826(4)]),flip(a)].
% 1.54/1.79 5944 mult(mult(ld(A,A),B),ld(A,A)) = B. [back_rewrite(2543),rewrite([5827(6),4(4)]),flip(a)].
% 1.54/1.79 6083 mult(mult(A,ld(B,B)),ld(B,B)) = mult(A,ld(B,B)). [back_rewrite(2470),rewrite([5910(8)])].
% 1.54/1.79 6085 mult(A,ld(B,B)) = A. [back_rewrite(2463),rewrite([5910(4),6083(4),5944(8),2(6)]),flip(a)].
% 1.54/1.79 6086 $F # answer(goal). [resolve(6085,a,2459,a)].
% 1.54/1.79
% 1.54/1.79 % SZS output end Refutation
% 1.54/1.79 ============================== end of proof ==========================
% 1.54/1.79
% 1.54/1.79 ============================== STATISTICS ============================
% 1.54/1.79
% 1.54/1.79 Given=139. Generated=19079. Kept=6085. proofs=1.
% 1.54/1.79 Usable=118. Sos=4615. Demods=4769. Limbo=175, Disabled=1182. Hints=0.
% 1.54/1.79 Megabytes=13.87.
% 1.54/1.79 User_CPU=0.79, System_CPU=0.02, Wall_clock=1.
% 1.54/1.79
% 1.54/1.79 ============================== end of statistics =====================
% 1.54/1.79
% 1.54/1.79 ============================== end of search =========================
% 1.54/1.79
% 1.54/1.79 THEOREM PROVED
% 1.54/1.79 % SZS status Unsatisfiable
% 1.54/1.79
% 1.54/1.79 Exiting with 1 proof.
% 1.54/1.79
% 1.54/1.79 Process 10935 exit (max_proofs) Tue Jun 14 00:10:41 2022
% 1.54/1.79 Prover9 interrupted
%------------------------------------------------------------------------------