TSTP Solution File: GRP660-14 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP660-14 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 1.52s 1.78s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP660-14 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n008.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 : Mon Jun 13 23:08:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.52/1.78 ============================== Prover9 ===============================
% 1.52/1.78 Prover9 (32) version 2009-11A, November 2009.
% 1.52/1.78 Process 30417 was started by sandbox2 on n008.cluster.edu,
% 1.52/1.78 Mon Jun 13 23:08:53 2022
% 1.52/1.78 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30264_n008.cluster.edu".
% 1.52/1.78 ============================== end of head ===========================
% 1.52/1.78
% 1.52/1.78 ============================== INPUT =================================
% 1.52/1.78
% 1.52/1.78 % Reading from file /tmp/Prover9_30264_n008.cluster.edu
% 1.52/1.78
% 1.52/1.78 set(prolog_style_variables).
% 1.52/1.78 set(auto2).
% 1.52/1.78 % set(auto2) -> set(auto).
% 1.52/1.78 % set(auto) -> set(auto_inference).
% 1.52/1.78 % set(auto) -> set(auto_setup).
% 1.52/1.78 % set(auto_setup) -> set(predicate_elim).
% 1.52/1.78 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.52/1.78 % set(auto) -> set(auto_limits).
% 1.52/1.78 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.52/1.78 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.52/1.78 % set(auto) -> set(auto_denials).
% 1.52/1.78 % set(auto) -> set(auto_process).
% 1.52/1.78 % set(auto2) -> assign(new_constants, 1).
% 1.52/1.78 % set(auto2) -> assign(fold_denial_max, 3).
% 1.52/1.78 % set(auto2) -> assign(max_weight, "200.000").
% 1.52/1.78 % set(auto2) -> assign(max_hours, 1).
% 1.52/1.78 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.52/1.78 % set(auto2) -> assign(max_seconds, 0).
% 1.52/1.78 % set(auto2) -> assign(max_minutes, 5).
% 1.52/1.78 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.52/1.78 % set(auto2) -> set(sort_initial_sos).
% 1.52/1.78 % set(auto2) -> assign(sos_limit, -1).
% 1.52/1.78 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.52/1.78 % set(auto2) -> assign(max_megs, 400).
% 1.52/1.78 % set(auto2) -> assign(stats, some).
% 1.52/1.78 % set(auto2) -> clear(echo_input).
% 1.52/1.78 % set(auto2) -> set(quiet).
% 1.52/1.78 % set(auto2) -> clear(print_initial_clauses).
% 1.52/1.78 % set(auto2) -> clear(print_given).
% 1.52/1.78 assign(lrs_ticks,-1).
% 1.52/1.78 assign(sos_limit,10000).
% 1.52/1.78 assign(order,kbo).
% 1.52/1.78 set(lex_order_vars).
% 1.52/1.78 clear(print_given).
% 1.52/1.78
% 1.52/1.78 % formulas(sos). % not echoed (6 formulas)
% 1.52/1.78
% 1.52/1.78 ============================== end of input ==========================
% 1.52/1.78
% 1.52/1.78 % From the command line: assign(max_seconds, 300).
% 1.52/1.78
% 1.52/1.78 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.52/1.78
% 1.52/1.78 % Formulas that are not ordinary clauses:
% 1.52/1.78
% 1.52/1.78 ============================== end of process non-clausal formulas ===
% 1.52/1.78
% 1.52/1.78 ============================== PROCESS INITIAL CLAUSES ===============
% 1.52/1.78
% 1.52/1.78 ============================== PREDICATE ELIMINATION =================
% 1.52/1.78
% 1.52/1.78 ============================== end predicate elimination =============
% 1.52/1.78
% 1.52/1.78 Auto_denials:
% 1.52/1.78 % copying label goal to answer in negative clause
% 1.52/1.78
% 1.52/1.78 Term ordering decisions:
% 1.52/1.78 Function symbol KB weights: x0=1. x1=1. mult=1. ld=1. rd=1.
% 1.52/1.78
% 1.52/1.78 ============================== end of process initial clauses ========
% 1.52/1.78
% 1.52/1.78 ============================== CLAUSES FOR SEARCH ====================
% 1.52/1.78
% 1.52/1.78 ============================== end of clauses for search =============
% 1.52/1.78
% 1.52/1.78 ============================== SEARCH ================================
% 1.52/1.78
% 1.52/1.78 % Starting search at 0.01 seconds.
% 1.52/1.78
% 1.52/1.78 ============================== PROOF =================================
% 1.52/1.78 % SZS status Unsatisfiable
% 1.52/1.78 % SZS output start Refutation
% 1.52/1.78
% 1.52/1.78 % Proof 1 at 0.83 (+ 0.01) seconds: goal.
% 1.52/1.78 % Length of proof is 109.
% 1.52/1.78 % Level of proof is 23.
% 1.52/1.78 % Maximum clause weight is 27.000.
% 1.52/1.78 % Given clauses 138.
% 1.52/1.78
% 1.52/1.78 1 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [assumption].
% 1.52/1.78 2 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [assumption].
% 1.52/1.78 3 mult(rd(A,B),B) = A # label(f03) # label(axiom). [assumption].
% 1.52/1.78 4 rd(mult(A,B),B) = A # label(f04) # label(axiom). [assumption].
% 1.52/1.78 5 mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) # label(f05) # label(axiom). [assumption].
% 1.52/1.78 6 mult(ld(x1,x1),x0) != x0 # label(goal) # label(negated_conjecture) # answer(goal). [assumption].
% 1.52/1.78 7 ld(rd(A,B),A) = B. [para(3(a,1),2(a,1,2))].
% 1.52/1.78 8 rd(A,ld(B,A)) = B. [para(1(a,1),4(a,1,1))].
% 1.52/1.78 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)].
% 1.52/1.78 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)].
% 1.52/1.78 13 rd(mult(A,mult(B,mult(C,A))),A) = mult(mult(A,B),C). [para(5(a,1),4(a,1,1))].
% 1.52/1.78 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))].
% 1.52/1.78 17 ld(A,mult(mult(B,C),A)) = mult(ld(A,B),mult(C,A)). [para(9(a,1),2(a,1,2))].
% 1.52/1.78 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)].
% 1.52/1.78 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)].
% 1.52/1.78 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))].
% 1.52/1.78 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)].
% 1.52/1.78 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)].
% 1.52/1.78 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)].
% 1.52/1.78 102 ld(A,ld(B,mult(C,B))) = mult(ld(mult(B,A),C),B). [para(24(a,1),2(a,1,2))].
% 1.52/1.78 103 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)].
% 1.52/1.78 146 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)].
% 1.52/1.78 147 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)].
% 1.52/1.78 163 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)].
% 1.52/1.78 165 rd(rd(mult(A,B),A),C) = mult(A,rd(B,mult(C,A))). [para(44(a,1),4(a,1,1))].
% 1.52/1.78 266 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)].
% 1.52/1.78 267 mult(ld(A,rd(B,rd(C,A))),C) = ld(A,mult(B,A)). [para(3(a,1),50(a,1,2))].
% 1.52/1.78 325 mult(ld(mult(A,B),A),A) = ld(B,A). [para(2(a,1),102(a,1,2)),flip(a)].
% 1.52/1.78 326 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)].
% 1.52/1.78 349 ld(ld(A,B),A) = mult(ld(B,A),A). [para(1(a,1),325(a,1,1,1)),flip(a)].
% 1.52/1.78 350 ld(ld(mult(A,B),A),ld(B,A)) = A. [para(325(a,1),2(a,1,2))].
% 1.52/1.78 351 mult(ld(A,rd(A,B)),rd(A,B)) = ld(B,rd(A,B)). [para(3(a,1),325(a,1,1,1))].
% 1.52/1.78 352 rd(ld(A,B),B) = ld(mult(B,A),B). [para(325(a,1),4(a,1,1))].
% 1.52/1.78 388 rd(A,mult(ld(B,A),A)) = ld(A,B). [para(349(a,1),8(a,1,2))].
% 1.52/1.78 397 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))].
% 1.52/1.78 470 ld(mult(A,rd(A,B)),A) = rd(B,A). [para(7(a,1),352(a,1,1)),flip(a)].
% 1.52/1.78 479 rd(A,mult(B,A)) = ld(A,rd(A,B)). [para(7(a,1),388(a,1,2,1))].
% 1.52/1.78 484 rd(A,rd(B,A)) = mult(A,rd(A,B)). [para(470(a,1),8(a,1,2))].
% 1.52/1.78 498 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)].
% 1.52/1.78 566 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)])].
% 1.52/1.78 574 mult(A,rd(ld(ld(B,A),C),B)) = rd(mult(B,C),B). [para(1(a,1),146(a,1,1))].
% 1.52/1.78 575 ld(mult(A,B),rd(mult(A,C),A)) = rd(ld(B,C),A). [para(146(a,1),2(a,1,2))].
% 1.52/1.78 576 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)].
% 1.52/1.78 705 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)].
% 1.52/1.78 735 rd(ld(A,mult(B,A)),C) = ld(A,rd(B,rd(C,A))). [para(267(a,1),4(a,1,1))].
% 1.52/1.78 777 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)].
% 1.52/1.78 780 rd(ld(A,ld(B,C)),B) = ld(mult(B,A),rd(C,B)). [para(326(a,1),4(a,1,1))].
% 1.52/1.78 1022 rd(rd(ld(A,B),A),ld(mult(B,A),B)) = ld(A,B). [para(498(a,1),8(a,1,2))].
% 1.52/1.78 1036 ld(ld(A,A),ld(mult(A,A),A)) = ld(mult(A,A),A). [para(352(a,1),498(a,1,2))].
% 1.52/1.78 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)].
% 1.52/1.78 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)].
% 1.52/1.78 1203 rd(ld(A,B),mult(C,A)) = ld(A,rd(rd(B,A),C)). [para(705(a,1),2(a,1,2)),flip(a)].
% 1.52/1.78 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)].
% 1.52/1.78 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)].
% 1.52/1.78 1507 rd(ld(mult(A,A),A),ld(mult(A,A),A)) = ld(A,A). [para(352(a,1),1022(a,1,1))].
% 1.52/1.78 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)])].
% 1.52/1.78 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)].
% 1.52/1.78 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)].
% 1.52/1.78 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)].
% 1.52/1.78 1849 mult(rd(A,A),rd(A,A)) = rd(A,A). [para(1830(a,1),1(a,1,2))].
% 1.52/1.78 1850 mult(A,ld(mult(A,A),A)) = rd(A,A). [para(1830(a,1),8(a,1,2)),rewrite([1204(3),352(2)])].
% 1.52/1.78 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)])].
% 1.52/1.78 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)].
% 1.52/1.78 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)].
% 1.52/1.78 1869 ld(mult(A,mult(A,A)),A) = ld(A,rd(rd(A,A),A)). [back_rewrite(1643),rewrite([1850(3)]),flip(a)].
% 1.52/1.78 1873 mult(A,mult(ld(A,rd(A,A)),A)) = A. [para(1849(a,1),18(a,1,1)),rewrite([3(2)]),flip(a)].
% 1.52/1.78 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)])].
% 1.52/1.78 1887 rd(mult(A,rd(ld(A,B),rd(A,A))),rd(A,A)) = mult(rd(A,A),rd(B,rd(A,A))). [para(1849(a,1),165(a,2,2,2)),rewrite([576(4)])].
% 1.52/1.78 1898 ld(rd(A,A),rd(rd(B,rd(A,A)),rd(A,A))) = rd(ld(rd(A,A),B),rd(A,A)). [para(1849(a,1),1203(a,1,2)),flip(a)].
% 1.52/1.78 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)])].
% 1.52/1.78 1907 ld(mult(A,A),A) = ld(A,rd(A,A)). [para(1850(a,1),2(a,1,2)),flip(a)].
% 1.52/1.78 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)])].
% 1.52/1.78 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)])].
% 1.52/1.78 1928 rd(ld(A,rd(A,A)),ld(A,rd(A,A))) = ld(A,A). [back_rewrite(1507),rewrite([1907(2),1907(4)])].
% 1.52/1.78 2023 mult(ld(A,rd(A,A)),A) = ld(A,A). [para(1873(a,1),2(a,1,2)),flip(a)].
% 1.52/1.78 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)].
% 1.52/1.78 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)])].
% 1.52/1.78 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)].
% 1.52/1.78 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)])].
% 1.52/1.78 2091 mult(ld(A,A),ld(A,A)) = ld(A,A). [para(2023(a,1),47(a,1,2)),rewrite([3(5)])].
% 1.52/1.78 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))].
% 1.52/1.78 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)])].
% 1.52/1.78 2214 rd(A,A) = ld(A,A). [para(2036(a,1),1(a,1,2)),rewrite([2091(3)]),flip(a)].
% 1.52/1.78 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)])].
% 1.52/1.78 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)])].
% 1.52/1.78 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)])].
% 1.52/1.78 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)].
% 1.52/1.78 2235 ld(ld(A,A),mult(A,mult(ld(A,ld(A,A)),B))) = rd(ld(ld(A,A),B),ld(A,A)). [para(2036(a,1),1106(a,1,1,1)),rewrite([2214(5),163(9),18(9)]),flip(a)].
% 1.52/1.78 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)])].
% 1.52/1.78 2331 mult(ld(A,ld(A,ld(A,A))),A) = ld(A,ld(A,A)). [back_rewrite(2057),rewrite([2214(1),2214(5)])].
% 1.52/1.78 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)])].
% 1.52/1.78 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)].
% 1.52/1.78 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)])].
% 1.52/1.78 2378 ld(ld(A,A),rd(rd(B,ld(A,A)),ld(A,A))) = rd(ld(ld(A,A),B),ld(A,A)). [back_rewrite(1898),rewrite([2214(1),2214(2),2214(4),2214(7),2214(9)])].
% 1.52/1.79 2384 rd(mult(A,rd(ld(A,B),ld(A,A))),ld(A,A)) = mult(ld(A,A),rd(B,ld(A,A))). [back_rewrite(1887),rewrite([2214(2),2214(5),2214(7),2214(8)])].
% 1.52/1.79 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)])].
% 1.52/1.79 2463 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)])].
% 1.52/1.79 2523 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)].
% 1.52/1.79 2538 rd(mult(A,mult(ld(A,ld(A,A)),B)),ld(A,A)) = mult(ld(A,A),rd(B,ld(A,A))). [back_rewrite(2384),rewrite([2523(3)])].
% 1.52/1.79 2620 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)])].
% 1.52/1.79 3302 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)])].
% 1.52/1.79 3304 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),2463(8)])].
% 1.52/1.79 5825 ld(ld(A,A),rd(B,ld(A,A))) = B. [para(1(a,1),2523(a,2)),rewrite([3304(4),2620(6)])].
% 1.52/1.79 5826 mult(A,mult(ld(A,ld(A,A)),B)) = rd(B,ld(A,A)). [para(2(a,1),2523(a,1,1)),rewrite([3302(6)]),flip(a)].
% 1.52/1.79 5910 rd(ld(ld(A,A),B),ld(A,A)) = rd(B,ld(A,A)). [back_rewrite(2378),rewrite([5825(6)]),flip(a)].
% 1.52/1.79 5945 rd(rd(A,ld(B,B)),ld(B,B)) = mult(ld(B,B),rd(A,ld(B,B))). [back_rewrite(2538),rewrite([5826(4)])].
% 1.52/1.79 5950 rd(A,ld(B,B)) = A. [back_rewrite(2235),rewrite([5826(5),5825(4),5910(4)]),flip(a)].
% 1.52/1.79 6115 mult(ld(A,A),B) = B. [back_rewrite(5945),rewrite([5950(2),5950(2),5950(3)]),flip(a)].
% 1.52/1.79 6116 $F # answer(goal). [resolve(6115,a,6,a)].
% 1.52/1.79
% 1.52/1.79 % SZS output end Refutation
% 1.52/1.79 ============================== end of proof ==========================
% 1.52/1.79
% 1.52/1.79 ============================== STATISTICS ============================
% 1.52/1.79
% 1.52/1.79 Given=138. Generated=19124. Kept=6115. proofs=1.
% 1.52/1.79 Usable=118. Sos=4606. Demods=4754. Limbo=169, Disabled=1227. Hints=0.
% 1.52/1.79 Megabytes=13.88.
% 1.52/1.79 User_CPU=0.83, System_CPU=0.01, Wall_clock=1.
% 1.52/1.79
% 1.52/1.79 ============================== end of statistics =====================
% 1.52/1.79
% 1.52/1.79 ============================== end of search =========================
% 1.52/1.79
% 1.52/1.79 THEOREM PROVED
% 1.52/1.79 % SZS status Unsatisfiable
% 1.52/1.79
% 1.52/1.79 Exiting with 1 proof.
% 1.52/1.79
% 1.52/1.79 Process 30417 exit (max_proofs) Mon Jun 13 23:08:54 2022
% 1.52/1.79 Prover9 interrupted
%------------------------------------------------------------------------------