TSTP Solution File: GRP754-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 11:20:55 EDT 2022
% Result : Unsatisfiable 3.16s 3.47s
% Output : Refutation 3.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n025.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 : Tue Jun 14 09:43:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.16/3.47 ============================== Prover9 ===============================
% 3.16/3.47 Prover9 (32) version 2009-11A, November 2009.
% 3.16/3.47 Process 10080 was started by sandbox on n025.cluster.edu,
% 3.16/3.47 Tue Jun 14 09:43:55 2022
% 3.16/3.47 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9926_n025.cluster.edu".
% 3.16/3.47 ============================== end of head ===========================
% 3.16/3.47
% 3.16/3.47 ============================== INPUT =================================
% 3.16/3.47
% 3.16/3.47 % Reading from file /tmp/Prover9_9926_n025.cluster.edu
% 3.16/3.47
% 3.16/3.47 set(prolog_style_variables).
% 3.16/3.47 set(auto2).
% 3.16/3.47 % set(auto2) -> set(auto).
% 3.16/3.47 % set(auto) -> set(auto_inference).
% 3.16/3.47 % set(auto) -> set(auto_setup).
% 3.16/3.47 % set(auto_setup) -> set(predicate_elim).
% 3.16/3.47 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.16/3.47 % set(auto) -> set(auto_limits).
% 3.16/3.47 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.16/3.47 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.16/3.47 % set(auto) -> set(auto_denials).
% 3.16/3.47 % set(auto) -> set(auto_process).
% 3.16/3.47 % set(auto2) -> assign(new_constants, 1).
% 3.16/3.47 % set(auto2) -> assign(fold_denial_max, 3).
% 3.16/3.47 % set(auto2) -> assign(max_weight, "200.000").
% 3.16/3.47 % set(auto2) -> assign(max_hours, 1).
% 3.16/3.47 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.16/3.47 % set(auto2) -> assign(max_seconds, 0).
% 3.16/3.47 % set(auto2) -> assign(max_minutes, 5).
% 3.16/3.47 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.16/3.47 % set(auto2) -> set(sort_initial_sos).
% 3.16/3.47 % set(auto2) -> assign(sos_limit, -1).
% 3.16/3.47 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.16/3.47 % set(auto2) -> assign(max_megs, 400).
% 3.16/3.47 % set(auto2) -> assign(stats, some).
% 3.16/3.47 % set(auto2) -> clear(echo_input).
% 3.16/3.47 % set(auto2) -> set(quiet).
% 3.16/3.47 % set(auto2) -> clear(print_initial_clauses).
% 3.16/3.47 % set(auto2) -> clear(print_given).
% 3.16/3.47 assign(lrs_ticks,-1).
% 3.16/3.47 assign(sos_limit,10000).
% 3.16/3.47 assign(order,kbo).
% 3.16/3.47 set(lex_order_vars).
% 3.16/3.47 clear(print_given).
% 3.16/3.47
% 3.16/3.47 % formulas(sos). % not echoed (7 formulas)
% 3.16/3.47
% 3.16/3.47 ============================== end of input ==========================
% 3.16/3.47
% 3.16/3.47 % From the command line: assign(max_seconds, 300).
% 3.16/3.47
% 3.16/3.47 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.16/3.47
% 3.16/3.47 % Formulas that are not ordinary clauses:
% 3.16/3.47
% 3.16/3.47 ============================== end of process non-clausal formulas ===
% 3.16/3.47
% 3.16/3.47 ============================== PROCESS INITIAL CLAUSES ===============
% 3.16/3.47
% 3.16/3.47 ============================== PREDICATE ELIMINATION =================
% 3.16/3.47
% 3.16/3.47 ============================== end predicate elimination =============
% 3.16/3.47
% 3.16/3.47 Auto_denials:
% 3.16/3.47 % copying label goals to answer in negative clause
% 3.16/3.47
% 3.16/3.47 Term ordering decisions:
% 3.16/3.47 Function symbol KB weights: a=1. b=1. c=1. mult=1. ld=1. rd=1.
% 3.16/3.47
% 3.16/3.47 ============================== end of process initial clauses ========
% 3.16/3.47
% 3.16/3.47 ============================== CLAUSES FOR SEARCH ====================
% 3.16/3.47
% 3.16/3.47 ============================== end of clauses for search =============
% 3.16/3.47
% 3.16/3.47 ============================== SEARCH ================================
% 3.16/3.47
% 3.16/3.47 % Starting search at 0.01 seconds.
% 3.16/3.47
% 3.16/3.47 Low Water (keep): wt=91.000, iters=3369
% 3.16/3.47
% 3.16/3.47 Low Water (keep): wt=59.000, iters=3392
% 3.16/3.47
% 3.16/3.47 Low Water (keep): wt=51.000, iters=3353
% 3.16/3.47
% 3.16/3.47 Low Water (keep): wt=47.000, iters=3381
% 3.16/3.47
% 3.16/3.47 Low Water (keep): wt=43.000, iters=3333
% 3.16/3.47
% 3.16/3.47 Low Water (keep): wt=39.000, iters=3343
% 3.16/3.47
% 3.16/3.47 Low Water (keep): wt=35.000, iters=3338
% 3.16/3.47
% 3.16/3.47 Low Water (keep): wt=31.000, iters=3346
% 3.16/3.47
% 3.16/3.47 Low Water (keep): wt=27.000, iters=3421
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=6410, wt=187.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=6382, wt=151.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=7407, wt=115.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=8289, wt=107.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=5366, wt=103.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=3612, wt=99.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=4629, wt=95.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=8264, wt=91.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=6023, wt=87.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=6682, wt=83.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=8277, wt=79.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=16270, wt=23.000
% 3.16/3.47
% 3.16/3.47 Low Water (displace): id=16335, wt=19.000
% 3.16/3.47
% 3.16/3.47 ============================== PROOF =================================
% 3.16/3.47 % SZS status Unsatisfiable
% 3.16/3.47 % SZS output start Refutation
% 3.16/3.47
% 3.16/3.47 % Proof 1 at 2.45 (+ 0.04) seconds: goals.
% 3.16/3.47 % Length of proof is 91.
% 3.16/3.47 % Level of proof is 14.
% 3.16/3.47 % Maximum clause weight is 27.000.
% 3.16/3.47 % Given clauses 275.
% 3.16/3.47
% 3.16/3.47 1 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [assumption].
% 3.16/3.47 2 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [assumption].
% 3.16/3.47 3 mult(rd(A,B),B) = A # label(f03) # label(axiom). [assumption].
% 3.16/3.47 4 rd(mult(A,B),B) = A # label(f04) # label(axiom). [assumption].
% 3.16/3.47 5 mult(A,mult(B,C)) = mult(mult(rd(A,A),B),mult(A,C)) # label(f05) # label(axiom). [assumption].
% 3.16/3.47 6 mult(mult(rd(A,A),B),mult(A,C)) = mult(A,mult(B,C)). [copy(5),flip(a)].
% 3.16/3.47 7 mult(mult(A,B),C) = mult(mult(A,C),mult(B,ld(C,C))) # label(f06) # label(axiom). [assumption].
% 3.16/3.47 8 mult(mult(A,B),mult(C,ld(B,B))) = mult(mult(A,C),B). [copy(7),flip(a)].
% 3.16/3.47 9 mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)) # label(goals) # label(negated_conjecture) # answer(goals). [assumption].
% 3.16/3.47 10 mult(mult(a,b),mult(a,c)) != mult(mult(a,a),mult(b,c)) # answer(goals). [copy(9),flip(a)].
% 3.16/3.47 11 ld(rd(A,B),A) = B. [para(3(a,1),2(a,1,2))].
% 3.16/3.47 12 rd(A,ld(B,A)) = B. [para(1(a,1),4(a,1,1))].
% 3.16/3.47 13 mult(A,mult(ld(rd(A,A),B),C)) = mult(B,mult(A,C)). [para(1(a,1),6(a,1,1)),flip(a)].
% 3.16/3.47 14 mult(mult(rd(A,A),B),C) = mult(A,mult(B,ld(A,C))). [para(1(a,1),6(a,1,2))].
% 3.16/3.47 15 ld(mult(rd(A,A),B),mult(A,mult(B,C))) = mult(A,C). [para(6(a,1),2(a,1,2))].
% 3.16/3.47 16 rd(mult(A,mult(B,C)),mult(A,C)) = mult(rd(A,A),B). [para(6(a,1),4(a,1,1))].
% 3.16/3.47 18 ld(mult(A,B),mult(mult(A,C),B)) = mult(C,ld(B,B)). [para(8(a,1),2(a,1,2))].
% 3.16/3.47 19 mult(mult(rd(A,B),C),B) = mult(A,mult(C,ld(B,B))). [para(3(a,1),8(a,1,1)),flip(a)].
% 3.16/3.47 20 mult(mult(A,rd(B,ld(C,C))),C) = mult(mult(A,C),B). [para(3(a,1),8(a,1,2)),flip(a)].
% 3.16/3.47 21 rd(mult(mult(A,B),C),mult(B,ld(C,C))) = mult(A,C). [para(8(a,1),4(a,1,1))].
% 3.16/3.47 24 ld(A,mult(B,mult(A,C))) = mult(ld(rd(A,A),B),C). [para(13(a,1),2(a,1,2))].
% 3.16/3.47 30 rd(mult(A,mult(B,ld(A,C))),C) = mult(rd(A,A),B). [para(14(a,1),4(a,1,1))].
% 3.16/3.47 31 mult(mult(A,mult(B,ld(A,C))),mult(D,ld(C,C))) = mult(mult(A,mult(B,ld(A,D))),C). [para(14(a,1),8(a,1,1)),rewrite([14(9)])].
% 3.16/3.47 33 mult(A,mult(B,ld(A,mult(C,ld(B,B))))) = mult(A,mult(C,ld(A,B))). [para(14(a,1),8(a,1)),rewrite([14(8)])].
% 3.16/3.47 36 ld(mult(rd(A,A),B),mult(A,C)) = mult(A,ld(B,C)). [para(1(a,1),15(a,1,2,2))].
% 3.16/3.47 42 rd(mult(A,B),mult(A,C)) = mult(rd(A,A),rd(B,C)). [para(3(a,1),16(a,1,1,2))].
% 3.16/3.47 45 rd(mult(mult(A,B),C),mult(mult(A,C),ld(C,C))) = mult(A,mult(rd(C,C),ld(A,B))). [para(8(a,1),16(a,1,1)),rewrite([42(9),14(10)])].
% 3.16/3.47 54 ld(mult(A,B),mult(C,B)) = mult(ld(A,C),ld(B,B)). [para(1(a,1),18(a,1,2,1))].
% 3.16/3.47 62 mult(A,ld(B,mult(C,ld(A,B)))) = mult(C,ld(B,B)). [para(14(a,1),18(a,1,2)),rewrite([36(6)])].
% 3.16/3.47 67 rd(mult(A,mult(B,ld(C,C))),C) = mult(rd(A,C),B). [para(19(a,1),4(a,1,1))].
% 3.16/3.47 75 mult(mult(rd(A,rd(B,ld(C,C))),C),B) = mult(A,C). [para(3(a,1),20(a,1,1)),flip(a)].
% 3.16/3.47 87 rd(mult(A,B),mult(C,ld(B,B))) = mult(rd(A,C),B). [para(3(a,1),21(a,1,1,1))].
% 3.16/3.47 93 mult(A,mult(rd(B,C),ld(A,C))) = mult(A,mult(rd(C,C),ld(A,B))). [back_rewrite(45),rewrite([87(6),42(3),14(4)])].
% 3.16/3.47 108 mult(ld(rd(A,A),B),ld(A,C)) = ld(A,mult(B,C)). [para(1(a,1),24(a,1,2,2)),flip(a)].
% 3.16/3.47 110 mult(ld(rd(A,A),rd(B,mult(A,C))),C) = ld(A,B). [para(3(a,1),24(a,1,2)),flip(a)].
% 3.16/3.47 143 mult(rd(A,A),rd(B,ld(A,C))) = rd(mult(A,B),C). [para(3(a,1),30(a,1,1,2)),flip(a)].
% 3.16/3.47 148 ld(mult(rd(A,A),B),C) = mult(A,ld(B,ld(A,C))). [para(1(a,1),36(a,1,2))].
% 3.16/3.47 190 mult(ld(rd(A,B),C),ld(B,B)) = ld(A,mult(C,B)). [para(3(a,1),54(a,1,1)),flip(a)].
% 3.16/3.47 208 mult(mult(A,mult(B,C)),mult(D,mult(ld(A,A),ld(C,C)))) = mult(mult(A,mult(B,ld(A,D))),mult(A,C)). [para(2(a,1),31(a,1,1,2,2)),rewrite([54(5)])].
% 3.16/3.47 235 ld(A,mult(B,ld(C,C))) = ld(C,mult(B,ld(A,C))). [para(62(a,1),2(a,1,2))].
% 3.16/3.47 237 mult(rd(A,ld(B,C)),ld(C,C)) = mult(B,ld(C,A)). [para(3(a,1),62(a,1,2,2)),flip(a)].
% 3.16/3.47 240 mult(rd(A,B),ld(A,mult(C,B))) = mult(C,ld(A,A)). [para(11(a,1),62(a,1,2,2,2))].
% 3.16/3.47 272 mult(rd(A,B),ld(rd(A,A),C)) = mult(rd(C,B),A). [para(13(a,1),67(a,1,1)),rewrite([67(4)]),flip(a)].
% 3.16/3.47 333 mult(rd(A,rd(B,ld(C,C))),C) = rd(mult(A,C),B). [para(75(a,1),4(a,1,1)),flip(a)].
% 3.16/3.47 362 rd(A,mult(B,ld(C,C))) = mult(rd(rd(A,C),B),C). [para(3(a,1),87(a,1,1))].
% 3.16/3.47 424 mult(A,ld(B,mult(C,ld(A,A)))) = mult(C,ld(B,A)). [para(33(a,1),2(a,1,2)),rewrite([2(4)]),flip(a)].
% 3.16/3.47 476 ld(rd(A,A),rd(B,mult(A,C))) = rd(ld(A,B),C). [para(110(a,1),4(a,1,1)),flip(a)].
% 3.16/3.47 483 ld(rd(A,A),rd(mult(A,B),C)) = rd(B,ld(A,C)). [para(143(a,1),2(a,1,2))].
% 3.16/3.47 498 rd(A,mult(B,ld(C,ld(B,A)))) = mult(rd(B,B),C). [para(148(a,1),12(a,1,2))].
% 3.16/3.47 565 ld(ld(rd(A,B),C),ld(A,mult(C,B))) = ld(B,B). [para(190(a,1),2(a,1,2))].
% 3.16/3.47 566 rd(ld(A,mult(B,C)),ld(C,C)) = ld(rd(A,C),B). [para(190(a,1),4(a,1,1))].
% 3.16/3.47 625 ld(rd(A,B),mult(C,ld(A,A))) = ld(A,mult(C,B)). [para(11(a,1),235(a,2,2,2))].
% 3.16/3.47 710 rd(mult(A,ld(B,C)),ld(B,B)) = rd(C,ld(A,B)). [para(237(a,1),4(a,1,1))].
% 3.16/3.47 712 mult(mult(A,rd(B,ld(C,D))),D) = mult(mult(A,D),mult(C,ld(D,B))). [para(237(a,1),8(a,1,2)),flip(a)].
% 3.16/3.47 713 mult(rd(A,B),ld(C,C)) = mult(rd(C,B),ld(C,A)). [para(11(a,1),237(a,1,1,2))].
% 3.16/3.47 730 rd(mult(A,mult(B,ld(C,D))),C) = mult(rd(A,C),rd(D,ld(B,C))). [para(237(a,1),67(a,1,1,2))].
% 3.16/3.47 888 mult(rd(mult(rd(A,A),B),C),A) = mult(rd(A,C),B). [para(2(a,1),272(a,1,2)),flip(a)].
% 3.16/3.47 894 mult(rd(A,ld(B,C)),C) = mult(B,ld(rd(C,C),A)). [para(12(a,1),272(a,1,1)),flip(a)].
% 3.16/3.47 1145 mult(rd(A,ld(B,C)),ld(D,C)) = mult(C,ld(D,mult(B,ld(C,A)))). [para(237(a,1),424(a,1,2,2)),flip(a)].
% 3.16/3.47 1335 ld(A,mult(rd(mult(A,B),C),D)) = mult(rd(B,ld(A,C)),ld(A,D)). [para(483(a,1),108(a,1,1)),flip(a)].
% 3.16/3.47 1514 mult(rd(A,A),ld(rd(A,B),C)) = mult(rd(C,A),B). [para(565(a,1),498(a,1,2,2)),rewrite([362(4),4(2)]),flip(a)].
% 3.16/3.47 1539 rd(mult(A,B),ld(C,mult(D,B))) = mult(rd(A,ld(rd(C,B),D)),B). [para(566(a,1),333(a,1,1,2)),flip(a)].
% 3.16/3.47 1542 ld(rd(A,A),mult(rd(B,A),C)) = ld(rd(A,C),B). [para(566(a,1),476(a,2)),rewrite([362(5),4(3)])].
% 3.16/3.47 1669 ld(A,mult(rd(B,ld(A,A)),C)) = ld(rd(A,C),B). [para(3(a,1),625(a,1,2)),flip(a)].
% 3.16/3.47 1815 rd(mult(A,ld(B,B)),ld(B,C)) = rd(B,ld(A,C)). [para(424(a,1),710(a,1,1)),rewrite([710(4)]),flip(a)].
% 3.16/3.47 1886 mult(rd(mult(A,B),C),ld(A,A)) = mult(rd(A,C),B). [para(2(a,1),713(a,2,2))].
% 3.16/3.47 2271 ld(rd(mult(rd(A,A),B),C),mult(rd(A,C),B)) = A. [para(888(a,1),2(a,1,2))].
% 3.16/3.47 2272 rd(mult(rd(A,B),C),A) = rd(mult(rd(A,A),C),B). [para(888(a,1),4(a,1,1))].
% 3.16/3.47 2275 mult(rd(A,ld(B,mult(rd(A,A),C))),C) = mult(B,A). [para(12(a,1),888(a,1,1)),flip(a)].
% 3.16/3.47 2534 mult(rd(A,B),ld(C,B)) = mult(rd(B,B),ld(C,A)). [para(93(a,1),2(a,1,2)),rewrite([2(5)]),flip(a)].
% 3.16/3.47 3316 mult(mult(rd(A,B),C),mult(B,D)) = mult(B,mult(ld(rd(B,C),A),D)). [para(1542(a,1),13(a,1,2,1)),flip(a)].
% 3.16/3.47 3336 ld(rd(A,ld(rd(B,B),C)),B) = ld(rd(A,B),C). [para(272(a,1),1542(a,1,2)),rewrite([1542(4)]),flip(a)].
% 3.16/3.47 3465 ld(rd(A,B),mult(C,ld(A,D))) = ld(A,mult(rd(D,ld(C,A)),B)). [para(710(a,1),1669(a,1,2,1)),flip(a)].
% 3.16/3.47 4112 rd(mult(A,ld(B,B)),C) = rd(B,ld(A,mult(B,C))). [para(2(a,1),1815(a,1,2))].
% 3.16/3.47 4113 rd(A,ld(rd(B,ld(A,A)),C)) = rd(B,ld(A,C)). [para(3(a,1),1815(a,1,1)),flip(a)].
% 3.16/3.47 4126 mult(rd(A,ld(rd(B,ld(C,C)),D)),ld(C,C)) = rd(C,ld(A,mult(D,ld(B,C)))). [para(235(a,2),1815(a,1,2)),rewrite([1539(6)])].
% 3.16/3.47 4435 mult(mult(A,B),mult(ld(A,A),ld(C,C))) = mult(A,mult(B,ld(C,C))). [para(1886(a,1),19(a,1,1)),rewrite([19(3)]),flip(a)].
% 3.16/3.47 4993 ld(A,mult(rd(mult(B,A),C),ld(B,mult(A,C)))) = A. [para(240(a,1),2271(a,1,1,1)),rewrite([4112(3),3465(8),11(3)])].
% 3.16/3.47 5160 mult(rd(A,ld(rd(B,B),C)),ld(rd(B,B),D)) = ld(rd(B,D),mult(rd(B,C),A)). [para(2272(a,1),1542(a,1,2,1)),rewrite([1335(6)])].
% 3.16/3.47 5234 rd(A,ld(B,mult(rd(A,A),C))) = rd(mult(B,A),C). [para(2275(a,1),4(a,1,1)),flip(a)].
% 3.16/3.47 6065 mult(rd(A,A),ld(B,mult(C,A))) = mult(C,ld(B,A)). [para(4(a,1),2534(a,1,1)),flip(a)].
% 3.16/3.47 6730 ld(rd(A,B),mult(rd(A,C),D)) = mult(rd(B,ld(rd(D,A),C)),A). [para(3336(a,1),894(a,1,1,2)),rewrite([5160(10)]),flip(a)].
% 3.16/3.47 7993 rd(A,ld(B,mult(C,ld(D,A)))) = mult(rd(D,ld(A,C)),ld(A,B)). [para(4113(a,1),713(a,2,1)),rewrite([4126(6)])].
% 3.16/3.47 8400 mult(rd(mult(A,B),C),ld(A,mult(B,C))) = mult(B,B). [para(4993(a,1),1(a,1,2)),flip(a)].
% 3.16/3.47 10097 mult(rd(A,ld(rd(B,C),D)),C) = mult(rd(B,ld(C,D)),ld(C,A)). [para(6065(a,1),5234(a,1,2,2)),rewrite([7993(4),1539(8)]),flip(a)].
% 3.16/3.47 10189 ld(rd(A,B),mult(rd(A,C),D)) = mult(rd(D,ld(A,C)),ld(A,B)). [back_rewrite(6730),rewrite([10097(8)])].
% 3.16/3.47 11024 mult(A,ld(B,mult(C,ld(A,mult(B,C))))) = mult(C,C). [para(1(a,1),8400(a,1,2,2)),rewrite([1145(5)])].
% 3.16/3.47 13967 mult(A,mult(ld(rd(A,B),C),ld(B,C))) = mult(C,C). [para(11024(a,1),1514(a,1)),rewrite([10189(5),730(7),12(6),712(6),3316(6)]),flip(a)].
% 3.16/3.47 15988 mult(mult(A,mult(B,C)),mult(A,mult(D,ld(C,C)))) = mult(mult(A,mult(B,D)),mult(A,C)). [para(2(a,1),208(a,2,1,2,2)),rewrite([4435(7)])].
% 3.16/3.47 16612 mult(mult(A,B),mult(A,C)) = mult(mult(A,A),mult(B,C)). [para(13967(a,1),208(a,2,1)),rewrite([13(4),15988(7),1(2)])].
% 3.16/3.47 16613 $F # answer(goals). [resolve(16612,a,10,a)].
% 3.16/3.47
% 3.16/3.47 % SZS output end Refutation
% 3.16/3.47 ============================== end of proof ==========================
% 3.16/3.47
% 3.16/3.47 ============================== STATISTICS ============================
% 3.16/3.47
% 3.16/3.47 Given=275. Generated=65863. Kept=16609. proofs=1.
% 3.16/3.47 Usable=189. Sos=9999. Demods=9368. Limbo=84, Disabled=6343. Hints=0.
% 3.16/3.47 Megabytes=22.69.
% 3.16/3.47 User_CPU=2.45, System_CPU=0.04, Wall_clock=2.
% 3.16/3.47
% 3.16/3.47 ============================== end of statistics =====================
% 3.16/3.47
% 3.16/3.47 ============================== end of search =========================
% 3.16/3.47
% 3.16/3.47 THEOREM PROVED
% 3.16/3.47 % SZS status Unsatisfiable
% 3.16/3.47
% 3.16/3.47 Exiting with 1 proof.
% 3.16/3.47
% 3.16/3.47 Process 10080 exit (max_proofs) Tue Jun 14 09:43:57 2022
% 3.16/3.47 Prover9 interrupted
%------------------------------------------------------------------------------