TSTP Solution File: MVA011-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : MVA011-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 : Mon Jul 18 00:55:34 EDT 2022
% Result : Unsatisfiable 98.76s 99.01s
% Output : Refutation 98.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : MVA011-1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 18:05:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 98.76/99.01 ============================== Prover9 ===============================
% 98.76/99.01 Prover9 (32) version 2009-11A, November 2009.
% 98.76/99.01 Process 7053 was started by sandbox2 on n026.cluster.edu,
% 98.76/99.01 Tue May 31 18:05:11 2022
% 98.76/99.01 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_6900_n026.cluster.edu".
% 98.76/99.01 ============================== end of head ===========================
% 98.76/99.01
% 98.76/99.01 ============================== INPUT =================================
% 98.76/99.01
% 98.76/99.01 % Reading from file /tmp/Prover9_6900_n026.cluster.edu
% 98.76/99.01
% 98.76/99.01 set(prolog_style_variables).
% 98.76/99.01 set(auto2).
% 98.76/99.01 % set(auto2) -> set(auto).
% 98.76/99.01 % set(auto) -> set(auto_inference).
% 98.76/99.01 % set(auto) -> set(auto_setup).
% 98.76/99.01 % set(auto_setup) -> set(predicate_elim).
% 98.76/99.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 98.76/99.01 % set(auto) -> set(auto_limits).
% 98.76/99.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 98.76/99.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 98.76/99.01 % set(auto) -> set(auto_denials).
% 98.76/99.01 % set(auto) -> set(auto_process).
% 98.76/99.01 % set(auto2) -> assign(new_constants, 1).
% 98.76/99.01 % set(auto2) -> assign(fold_denial_max, 3).
% 98.76/99.01 % set(auto2) -> assign(max_weight, "200.000").
% 98.76/99.01 % set(auto2) -> assign(max_hours, 1).
% 98.76/99.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 98.76/99.01 % set(auto2) -> assign(max_seconds, 0).
% 98.76/99.01 % set(auto2) -> assign(max_minutes, 5).
% 98.76/99.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 98.76/99.01 % set(auto2) -> set(sort_initial_sos).
% 98.76/99.01 % set(auto2) -> assign(sos_limit, -1).
% 98.76/99.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 98.76/99.01 % set(auto2) -> assign(max_megs, 400).
% 98.76/99.01 % set(auto2) -> assign(stats, some).
% 98.76/99.01 % set(auto2) -> clear(echo_input).
% 98.76/99.01 % set(auto2) -> set(quiet).
% 98.76/99.01 % set(auto2) -> clear(print_initial_clauses).
% 98.76/99.01 % set(auto2) -> clear(print_given).
% 98.76/99.01 assign(lrs_ticks,-1).
% 98.76/99.01 assign(sos_limit,10000).
% 98.76/99.01 assign(order,kbo).
% 98.76/99.01 set(lex_order_vars).
% 98.76/99.01 clear(print_given).
% 98.76/99.01
% 98.76/99.01 % formulas(sos). % not echoed (19 formulas)
% 98.76/99.01
% 98.76/99.01 ============================== end of input ==========================
% 98.76/99.01
% 98.76/99.01 % From the command line: assign(max_seconds, 300).
% 98.76/99.01
% 98.76/99.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 98.76/99.01
% 98.76/99.01 % Formulas that are not ordinary clauses:
% 98.76/99.01
% 98.76/99.01 ============================== end of process non-clausal formulas ===
% 98.76/99.01
% 98.76/99.01 ============================== PROCESS INITIAL CLAUSES ===============
% 98.76/99.01
% 98.76/99.01 ============================== PREDICATE ELIMINATION =================
% 98.76/99.01
% 98.76/99.01 ============================== end predicate elimination =============
% 98.76/99.01
% 98.76/99.01 Auto_denials:
% 98.76/99.01 % copying label goal to answer in negative clause
% 98.76/99.01
% 98.76/99.01 Term ordering decisions:
% 98.76/99.01 Function symbol KB weights: unit=1. x=1. join=1. meet=1. op=1. ld=1. rd=1. at=1.
% 98.76/99.01
% 98.76/99.01 ============================== end of process initial clauses ========
% 98.76/99.01
% 98.76/99.01 ============================== CLAUSES FOR SEARCH ====================
% 98.76/99.01
% 98.76/99.01 ============================== end of clauses for search =============
% 98.76/99.01
% 98.76/99.01 ============================== SEARCH ================================
% 98.76/99.01
% 98.76/99.01 % Starting search at 0.01 seconds.
% 98.76/99.01
% 98.76/99.01 Low Water (keep): wt=29.000, iters=3350
% 98.76/99.01
% 98.76/99.01 Low Water (keep): wt=25.000, iters=3471
% 98.76/99.01
% 98.76/99.01 Low Water (keep): wt=23.000, iters=3361
% 98.76/99.01
% 98.76/99.01 Low Water (keep): wt=21.000, iters=3352
% 98.76/99.01
% 98.76/99.01 Low Water (keep): wt=19.000, iters=3334
% 98.76/99.01
% 98.76/99.01 Low Water (keep): wt=17.000, iters=3335
% 98.76/99.01
% 98.76/99.01 Low Water (displace): id=4831, wt=75.000
% 98.76/99.01
% 98.76/99.01 Low Water (displace): id=5207, wt=65.000
% 98.76/99.01
% 98.76/99.01 Low Water (displace): id=5165, wt=57.000
% 98.76/99.01
% 98.76/99.01 Low Water (displace): id=2660, wt=53.000
% 98.76/99.01
% 98.76/99.01 Low Water (displace): id=11808, wt=15.000
% 98.76/99.01
% 98.76/99.01 Low Water (displace): id=11861, wt=13.000
% 98.76/99.01
% 98.76/99.01 Low Water (keep): wt=15.000, iters=3337
% 98.76/99.01
% 98.76/99.01 ============================== PROOF =================================
% 98.76/99.01 % SZS status Unsatisfiable
% 98.76/99.01 % SZS output start Refutation
% 98.76/99.01
% 98.76/99.01 % Proof 1 at 94.45 (+ 3.61) seconds: goal.
% 98.76/99.01 % Length of proof is 150.
% 98.76/99.01 % Level of proof is 29.
% 98.76/99.01 % Maximum clause weight is 23.000.
% 98.76/99.01 % Given clauses 5514.
% 98.76/99.01
% 98.76/99.01 1 meet(A,A) = A # label(idempotence_of_meet) # label(axiom). [assumption].
% 98.76/99.01 2 join(A,A) = A # label(idempotence_of_join) # label(axiom). [assumption].
% 98.76/99.01 3 op(unit,A) = A # label(left_monoid_unit) # label(axiom). [assumption].
% 98.76/99.01 4 op(A,unit) = A # label(right_monoid_unit) # label(axiom). [assumption].
% 98.76/99.01 5 meet(A,B) = meet(B,A) # label(commutativity_of_meet) # label(axiom). [assumption].
% 98.76/99.01 6 join(A,B) = join(B,A) # label(commutativity_of_join) # label(axiom). [assumption].
% 98.76/99.01 7 join(meet(A,B),A) = A # label(absorption_a) # label(axiom). [assumption].
% 98.76/99.01 8 join(A,meet(A,B)) = A. [copy(7),rewrite([6(2)])].
% 98.76/99.01 9 meet(join(A,B),A) = A # label(absorption_b) # label(axiom). [assumption].
% 98.76/99.01 10 meet(A,join(A,B)) = A. [copy(9),rewrite([5(2)])].
% 98.76/99.01 11 meet(meet(A,B),C) = meet(A,meet(B,C)) # label(associativity_of_meet) # label(axiom). [assumption].
% 98.76/99.01 12 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(11),rewrite([5(2)]),flip(a)].
% 98.76/99.01 13 join(join(A,B),C) = join(A,join(B,C)) # label(associativity_of_join) # label(axiom). [assumption].
% 98.76/99.01 14 join(A,join(B,C)) = join(C,join(A,B)). [copy(13),rewrite([6(2)]),flip(a)].
% 98.76/99.01 15 join(op(A,meet(ld(A,B),C)),B) = B # label(residual_a) # label(axiom). [assumption].
% 98.76/99.01 16 join(A,op(B,meet(C,ld(B,A)))) = A. [copy(15),rewrite([5(2),6(4)])].
% 98.76/99.01 17 join(op(meet(A,rd(B,C)),C),B) = B # label(residual_b) # label(axiom). [assumption].
% 98.76/99.01 18 join(A,op(meet(B,rd(A,C)),C)) = A. [copy(17),rewrite([6(4)])].
% 98.76/99.01 19 meet(ld(A,join(op(A,B),C)),B) = B # label(residual_c) # label(axiom). [assumption].
% 98.76/99.01 20 meet(A,ld(B,join(C,op(B,A)))) = A. [copy(19),rewrite([6(2),5(4)])].
% 98.76/99.01 21 meet(rd(join(op(A,B),C),B),A) = A # label(residual_d) # label(axiom). [assumption].
% 98.76/99.01 22 meet(A,rd(join(B,op(A,C)),C)) = A. [copy(21),rewrite([6(2),5(4)])].
% 98.76/99.01 23 op(op(A,B),C) = op(A,op(B,C)) # label(monoid_associativity) # label(axiom). [assumption].
% 98.76/99.01 24 join(A,B) = rd(A,ld(join(A,B),A)) # label(generalized_mv_algebra_a) # label(axiom). [assumption].
% 98.76/99.01 25 rd(A,ld(join(A,B),A)) = join(A,B). [copy(24),flip(a)].
% 98.76/99.01 26 join(A,B) = ld(rd(A,join(A,B)),A) # label(generalized_mv_algebra_b) # label(axiom). [assumption].
% 98.76/99.01 27 ld(rd(A,join(A,B)),A) = join(A,B). [copy(26),flip(a)].
% 98.76/99.01 28 at(A,B) = op(op(A,ld(A,unit)),ld(ld(B,unit),unit)) # label(definition_of_at) # label(axiom). [assumption].
% 98.76/99.01 29 at(A,B) = op(A,op(ld(A,unit),ld(ld(B,unit),unit))). [copy(28),rewrite([23(9)])].
% 98.76/99.01 30 at(unit,ld(x,unit)) != ld(x,unit) # label(goal) # label(negated_conjecture) # answer(goal). [assumption].
% 98.76/99.01 31 op(ld(unit,unit),ld(ld(ld(x,unit),unit),unit)) != ld(x,unit) # answer(goal). [copy(30),rewrite([29(5),3(13)])].
% 98.76/99.01 33 meet(A,meet(B,join(A,C))) = meet(A,B). [para(10(a,1),12(a,2,2)),rewrite([5(2),5(4)])].
% 98.76/99.01 34 join(A,join(A,B)) = join(A,B). [para(14(a,1),2(a,1)),rewrite([6(1),6(2),14(2,R),2(1),6(3)])].
% 98.76/99.01 36 join(A,op(B,ld(B,A))) = A. [para(1(a,1),16(a,1,2,2))].
% 98.76/99.01 39 join(A,op(rd(A,B),B)) = A. [para(1(a,1),18(a,1,2,1))].
% 98.76/99.01 42 meet(A,ld(B,op(B,A))) = A. [para(2(a,1),20(a,1,2,2))].
% 98.76/99.01 46 meet(A,ld(meet(B,rd(C,A)),C)) = A. [para(18(a,1),20(a,1,2,2))].
% 98.76/99.01 47 meet(A,rd(op(A,B),B)) = A. [para(2(a,1),22(a,1,2,1))].
% 98.76/99.01 48 meet(unit,rd(join(A,B),B)) = unit. [para(3(a,1),22(a,1,2,1,2))].
% 98.76/99.01 51 meet(A,rd(B,meet(C,ld(A,B)))) = A. [para(16(a,1),22(a,1,2,1))].
% 98.76/99.01 52 join(A,op(B,op(C,meet(D,ld(op(B,C),A))))) = A. [para(23(a,1),16(a,1,2))].
% 98.76/99.01 53 meet(A,ld(op(B,C),join(D,op(B,op(C,A))))) = A. [para(23(a,1),20(a,1,2,2,2))].
% 98.76/99.01 54 meet(op(A,B),rd(join(C,op(A,op(B,D))),D)) = op(A,B). [para(23(a,1),22(a,1,2,1,2))].
% 98.76/99.01 55 rd(A,ld(A,A)) = A. [para(2(a,1),25(a,1,2,1)),rewrite([2(3)])].
% 98.76/99.01 58 join(A,op(rd(A,join(A,B)),meet(C,join(A,B)))) = A. [para(27(a,1),16(a,1,2,2,2))].
% 98.76/99.01 61 join(A,op(meet(A,B),ld(A,A))) = A. [para(55(a,1),18(a,1,2,1,2)),rewrite([5(1)])].
% 98.76/99.01 63 join(A,ld(unit,A)) = A. [para(3(a,1),36(a,1,2))].
% 98.76/99.01 65 meet(A,rd(B,ld(A,B))) = A. [para(36(a,1),22(a,1,2,1))].
% 98.76/99.01 70 join(A,rd(A,unit)) = A. [para(4(a,1),39(a,1,2))].
% 98.76/99.01 72 meet(A,ld(rd(B,A),B)) = A. [para(39(a,1),20(a,1,2,2))].
% 98.76/99.01 76 meet(A,ld(unit,A)) = A. [para(3(a,1),42(a,1,2,2))].
% 98.76/99.01 77 meet(unit,ld(A,A)) = unit. [para(4(a,1),42(a,1,2,2))].
% 98.76/99.01 79 meet(A,ld(op(B,C),op(B,op(C,A)))) = A. [para(23(a,1),42(a,1,2,2))].
% 98.76/99.01 81 meet(unit,meet(ld(A,A),join(B,unit))) = unit. [para(77(a,1),33(a,2)),rewrite([6(4)])].
% 98.76/99.01 89 meet(A,rd(A,unit)) = A. [para(4(a,1),47(a,1,2,1))].
% 98.76/99.01 97 meet(unit,rd(join(A,B),A)) = unit. [para(6(a,1),48(a,1,2,1))].
% 98.76/99.01 98 meet(unit,rd(A,meet(A,B))) = unit. [para(8(a,1),48(a,1,2,1))].
% 98.76/99.01 106 meet(unit,rd(A,rd(A,unit))) = unit. [para(70(a,1),48(a,1,2,1))].
% 98.76/99.01 122 meet(unit,rd(join(A,join(B,C)),C)) = unit. [para(14(a,2),97(a,1,2,1))].
% 98.76/99.01 130 meet(ld(A,A),ld(meet(A,B),A)) = ld(A,A). [para(55(a,1),46(a,1,2,1,2)),rewrite([5(2)])].
% 98.76/99.01 131 meet(meet(A,B),ld(unit,A)) = meet(A,B). [para(98(a,1),46(a,1,2,1))].
% 98.76/99.01 132 meet(ld(unit,A),rd(A,unit)) = rd(A,unit). [para(106(a,1),46(a,1,2,1)),rewrite([5(5)])].
% 98.76/99.01 155 meet(unit,join(A,unit)) = unit. [para(81(a,1),12(a,1)),rewrite([77(6),5(5)]),flip(a)].
% 98.76/99.01 163 meet(ld(A,B),op(C,meet(D,ld(op(A,C),B)))) = op(C,meet(D,ld(op(A,C),B))). [para(52(a,1),20(a,1,2,2)),rewrite([5(6)])].
% 98.76/99.01 164 meet(A,rd(B,op(C,meet(D,ld(op(A,C),B))))) = A. [para(52(a,1),22(a,1,2,1))].
% 98.76/99.01 193 meet(A,ld(op(meet(B,rd(C,op(D,A))),D),C)) = A. [para(18(a,1),53(a,1,2,2))].
% 98.76/99.01 208 meet(unit,rd(join(A,B),meet(B,C))) = unit. [para(8(a,1),122(a,1,2,1,2))].
% 98.76/99.01 211 meet(unit,rd(join(A,B),op(C,meet(D,ld(C,B))))) = unit. [para(16(a,1),122(a,1,2,1,2))].
% 98.76/99.01 212 meet(unit,rd(join(A,B),op(meet(C,rd(B,D)),D))) = unit. [para(18(a,1),122(a,1,2,1,2))].
% 98.76/99.01 213 meet(unit,rd(join(A,B),op(C,ld(C,B)))) = unit. [para(36(a,1),122(a,1,2,1,2))].
% 98.76/99.01 217 meet(unit,rd(join(A,B),op(rd(B,C),C))) = unit. [para(39(a,1),122(a,1,2,1,2))].
% 98.76/99.01 237 meet(meet(A,B),ld(unit,B)) = meet(A,B). [para(5(a,1),131(a,1,1)),rewrite([5(5)])].
% 98.76/99.01 240 meet(rd(A,B),op(meet(C,rd(A,op(D,B))),D)) = op(meet(C,rd(A,op(D,B))),D). [para(18(a,1),54(a,1,2,1)),rewrite([5(6)])].
% 98.76/99.01 252 meet(rd(A,unit),ld(unit,ld(unit,A))) = rd(A,unit). [para(132(a,1),131(a,1,1)),rewrite([132(12)])].
% 98.76/99.01 277 join(join(A,B),meet(B,C)) = join(A,B). [para(208(a,1),18(a,1,2,1)),rewrite([3(4)])].
% 98.76/99.01 289 meet(meet(A,B),ld(unit,join(A,C))) = meet(A,B). [para(208(a,1),46(a,1,2,1)),rewrite([6(3)])].
% 98.76/99.01 359 join(A,rd(A,join(A,unit))) = A. [para(155(a,1),58(a,1,2,2)),rewrite([4(5)])].
% 98.76/99.01 365 meet(unit,rd(A,rd(A,join(A,unit)))) = unit. [para(359(a,1),48(a,1,2,1))].
% 98.76/99.01 414 meet(A,ld(unit,ld(unit,A))) = A. [para(76(a,1),237(a,1,1)),rewrite([76(8)])].
% 98.76/99.01 456 ld(unit,A) = A. [para(414(a,1),16(a,1,2,2)),rewrite([3(4),6(3),63(3)]),flip(a)].
% 98.76/99.01 460 meet(meet(A,B),join(A,C)) = meet(A,B). [back_rewrite(289),rewrite([456(4)])].
% 98.76/99.01 461 rd(A,unit) = A. [back_rewrite(252),rewrite([456(5),456(4),5(3),89(3)]),flip(a)].
% 98.76/99.01 465 ld(ld(ld(x,unit),unit),unit) != ld(x,unit) # answer(goal). [back_rewrite(31),rewrite([456(3),3(9)])].
% 98.76/99.01 468 meet(unit,ld(meet(A,B),B)) = unit. [para(461(a,1),46(a,1,2,1,2))].
% 98.76/99.01 475 meet(unit,ld(meet(A,B),A)) = unit. [para(5(a,1),468(a,1,2,1))].
% 98.76/99.01 478 meet(unit,ld(A,ld(B,join(C,op(B,A))))) = unit. [para(20(a,1),468(a,1,2,1))].
% 98.76/99.01 482 meet(unit,ld(A,ld(B,op(B,A)))) = unit. [para(42(a,1),468(a,1,2,1))].
% 98.76/99.01 483 meet(unit,ld(A,rd(op(A,B),B))) = unit. [para(47(a,1),468(a,1,2,1))].
% 98.76/99.01 487 meet(unit,ld(A,ld(rd(B,A),B))) = unit. [para(72(a,1),468(a,1,2,1))].
% 98.76/99.01 509 meet(unit,ld(meet(A,meet(B,C)),C)) = unit. [para(12(a,2),475(a,1,2,1))].
% 98.76/99.01 529 join(join(A,B),meet(C,join(A,B))) = join(A,B). [para(34(a,1),277(a,1,1)),rewrite([5(3),34(6)])].
% 98.76/99.01 576 meet(A,rd(A,join(A,unit))) = rd(A,join(A,unit)). [para(365(a,1),46(a,1,2,1)),rewrite([456(5),5(4)])].
% 98.76/99.01 588 meet(meet(A,B),join(B,C)) = meet(A,B). [para(5(a,1),460(a,1,1)),rewrite([5(4)])].
% 98.76/99.01 615 join(A,ld(B,op(B,A))) = ld(B,op(B,A)). [para(482(a,1),16(a,1,2,2)),rewrite([4(4),6(3)])].
% 98.76/99.01 621 join(A,rd(op(A,B),B)) = rd(op(A,B),B). [para(483(a,1),16(a,1,2,2)),rewrite([4(4),6(3)])].
% 98.76/99.01 639 join(A,ld(rd(B,A),B)) = ld(rd(B,A),B). [para(487(a,1),16(a,1,2,2)),rewrite([4(4),6(3)])].
% 98.76/99.01 698 meet(unit,ld(meet(A,B),ld(C,op(C,B)))) = unit. [para(42(a,1),509(a,1,2,1,2))].
% 98.76/99.01 699 meet(unit,ld(meet(A,unit),ld(B,B))) = unit. [para(77(a,1),509(a,1,2,1,2))].
% 98.76/99.01 954 join(ld(A,A),meet(B,unit)) = ld(A,A). [para(699(a,1),16(a,1,2,2)),rewrite([4(5)])].
% 98.76/99.01 1310 join(unit,ld(A,A)) = ld(A,A). [para(1(a,1),954(a,1,2)),rewrite([6(3)])].
% 98.76/99.01 4799 meet(ld(A,A),join(A,unit)) = ld(A,A). [para(576(a,1),130(a,1,2,1)),rewrite([27(5)])].
% 98.76/99.01 4820 join(join(A,unit),ld(A,A)) = join(A,unit). [para(4799(a,1),529(a,1,2))].
% 98.76/99.01 4902 join(A,ld(A,A)) = join(A,unit). [para(4820(a,1),6(a,1)),rewrite([14(6),6(5),14(6,R),6(5),1310(5)]),flip(a)].
% 98.76/99.01 5169 meet(meet(A,B),ld(C,op(C,A))) = meet(A,B). [para(615(a,1),460(a,1,2))].
% 98.76/99.01 5211 meet(meet(A,B),rd(op(A,C),C)) = meet(A,B). [para(621(a,1),460(a,1,2))].
% 98.76/99.01 5294 meet(meet(A,B),ld(rd(C,B),C)) = meet(A,B). [para(639(a,1),588(a,1,2))].
% 98.76/99.01 6113 meet(unit,ld(A,op(A,ld(B,B)))) = unit. [para(77(a,1),698(a,1,2,1)),rewrite([456(6)])].
% 98.76/99.01 6328 join(A,op(A,ld(B,B))) = op(A,ld(B,B)). [para(6113(a,1),16(a,1,2,2)),rewrite([4(4),6(3)])].
% 98.76/99.01 6332 meet(A,op(A,ld(B,B))) = A. [para(6113(a,1),51(a,1,2,2)),rewrite([461(4)])].
% 98.76/99.01 6355 op(A,ld(A,A)) = A. [para(6332(a,1),61(a,1,2,1)),rewrite([6328(3)])].
% 98.76/99.01 6358 meet(A,join(B,op(A,ld(C,C)))) = A. [para(6332(a,1),588(a,1,1)),rewrite([6(3),6332(7)])].
% 98.76/99.01 6382 meet(ld(A,A),ld(op(B,A),op(B,A))) = ld(A,A). [para(6355(a,1),79(a,1,2,2,2))].
% 98.76/99.01 6593 meet(A,rd(A,ld(B,B))) = rd(A,ld(B,B)). [para(39(a,1),6358(a,1,2)),rewrite([5(3)])].
% 98.76/99.01 7074 meet(A,ld(rd(B,A),join(B,C))) = A. [para(217(a,1),193(a,1,2,1,1)),rewrite([3(3),6(2)])].
% 98.76/99.01 7090 meet(A,ld(rd(unit,A),ld(B,B))) = A. [para(1310(a,1),7074(a,1,2,2))].
% 98.76/99.01 7108 join(ld(A,A),op(rd(unit,B),B)) = ld(A,A). [para(7090(a,1),16(a,1,2,2))].
% 98.76/99.01 8106 meet(A,ld(meet(B,rd(C,A)),join(C,D))) = A. [para(212(a,1),193(a,1,2,1,1)),rewrite([3(4),6(3)])].
% 98.76/99.01 9510 meet(A,rd(join(B,C),ld(A,C))) = A. [para(213(a,1),240(a,1,2,1)),rewrite([3(5),5(4),213(10),3(6)])].
% 98.76/99.01 9513 meet(A,rd(join(B,C),meet(D,ld(A,C)))) = A. [para(211(a,1),240(a,1,2,1)),rewrite([3(6),5(5),211(12),3(7)])].
% 98.76/99.01 9523 meet(A,rd(B,ld(A,op(C,ld(C,B))))) = A. [para(36(a,1),9510(a,1,2,1))].
% 98.76/99.01 9524 meet(A,rd(B,ld(A,op(rd(B,C),C)))) = A. [para(39(a,1),9510(a,1,2,1))].
% 98.76/99.01 11862 meet(A,ld(meet(B,C),op(B,A))) = A. [para(5211(a,1),46(a,1,2,1))].
% 98.76/99.01 13976 meet(A,ld(rd(B,rd(C,ld(A,C))),B)) = A. [para(65(a,1),5294(a,1,1)),rewrite([65(8)])].
% 98.76/99.01 15772 meet(A,ld(rd(B,ld(C,C)),op(B,A))) = A. [para(6593(a,1),11862(a,1,2,1))].
% 98.76/99.01 15793 join(op(rd(unit,A),A),ld(B,B)) = ld(B,B). [para(7108(a,1),6(a,1)),flip(a)].
% 98.76/99.01 15911 meet(A,ld(meet(B,C),join(D,op(B,A)))) = A. [para(5211(a,1),8106(a,1,2,1)),rewrite([6(3)])].
% 98.76/99.01 15950 meet(A,rd(join(B,op(A,C)),meet(C,D))) = A. [para(5169(a,1),9513(a,1,2,2))].
% 98.76/99.01 17188 meet(A,ld(rd(unit,ld(B,B)),A)) = A. [para(3(a,1),15772(a,1,2,2))].
% 98.76/99.01 17190 join(A,op(rd(unit,ld(B,B)),A)) = A. [para(17188(a,1),16(a,1,2,2))].
% 98.76/99.01 17228 ld(op(rd(unit,A),A),op(rd(unit,A),A)) = unit. [para(15793(a,1),4902(a,1)),rewrite([6(12),39(12)])].
% 98.76/99.01 17292 meet(A,ld(meet(B,rd(unit,ld(C,C))),A)) = A. [para(17190(a,1),15911(a,1,2,2)),rewrite([5(4)])].
% 98.76/99.01 17307 meet(A,rd(B,meet(C,meet(D,ld(A,B))))) = A. [para(16(a,1),15950(a,1,2,1)),rewrite([5(3),12(3,R),5(2)])].
% 98.76/99.01 18071 meet(A,ld(op(B,ld(B,unit)),A)) = A. [para(9523(a,1),17292(a,1,2,1))].
% 98.76/99.01 18072 meet(A,ld(op(rd(unit,B),B),A)) = A. [para(9524(a,1),17292(a,1,2,1))].
% 98.76/99.01 18074 join(A,op(B,op(ld(B,unit),A))) = A. [para(18071(a,1),16(a,1,2,2)),rewrite([23(4)])].
% 98.76/99.01 18082 join(A,op(rd(unit,B),op(B,A))) = A. [para(18072(a,1),16(a,1,2,2)),rewrite([23(4)])].
% 98.76/99.01 18091 meet(unit,ld(op(ld(A,unit),B),ld(A,B))) = unit. [para(18074(a,1),478(a,1,2,2,2))].
% 98.76/99.01 18099 meet(unit,ld(op(A,B),ld(rd(unit,A),B))) = unit. [para(18082(a,1),478(a,1,2,2,2))].
% 98.76/99.01 18348 meet(A,ld(ld(B,unit),ld(B,A))) = A. [para(18091(a,1),163(a,1,2,2)),rewrite([4(6),5(5),18091(12),4(7)])].
% 98.76/99.01 18349 meet(ld(A,unit),rd(ld(A,B),B)) = ld(A,unit). [para(18091(a,1),164(a,1,2,2,2)),rewrite([4(5)])].
% 98.76/99.01 18359 meet(A,ld(B,ld(rd(unit,B),A))) = A. [para(18099(a,1),163(a,1,2,2)),rewrite([4(6),5(5),18099(12),4(7)])].
% 98.76/99.01 18368 meet(A,rd(ld(rd(unit,A),B),meet(B,C))) = A. [para(18359(a,1),17307(a,1,2,2,2)),rewrite([5(4)])].
% 98.76/99.01 19542 ld(A,A) = unit. [para(17228(a,1),6382(a,1,2)),rewrite([5(3),77(3)]),flip(a)].
% 98.76/99.01 19670 meet(A,ld(ld(A,unit),unit)) = A. [para(19542(a,1),18348(a,1,2,2))].
% 98.76/99.01 19673 meet(ld(A,unit),rd(unit,A)) = rd(unit,A). [para(19542(a,1),18359(a,1,2,2)),rewrite([5(5)])].
% 98.76/99.01 19681 rd(unit,A) = ld(A,unit). [para(19542(a,1),18349(a,1,2,1)),rewrite([19673(5)])].
% 98.76/99.01 19686 meet(A,ld(meet(B,ld(A,unit)),unit)) = A. [para(19542(a,1),18368(a,1,2,1)),rewrite([19681(3),5(4),19681(5)])].
% 98.76/99.01 20230 meet(A,ld(rd(B,ld(ld(A,unit),unit)),B)) = A. [para(19681(a,1),13976(a,1,2,1,2))].
% 98.76/99.01 23410 ld(ld(ld(A,unit),unit),unit) = ld(A,unit). [para(20230(a,1),19686(a,1,2,1)),rewrite([19681(6),5(9),19670(9),19681(8)]),flip(a)].
% 98.76/99.01 23411 $F # answer(goal). [resolve(23410,a,465,a)].
% 98.76/99.01
% 98.76/99.01 % SZS output end Refutation
% 98.76/99.01 ============================== end of proof ==========================
% 98.76/99.01
% 98.76/99.01 ============================== STATISTICS ============================
% 98.76/99.01
% 98.76/99.01 Given=5514. Generated=7150368. Kept=23398. proofs=1.
% 98.76/99.01 Usable=2750. Sos=7960. Demods=10709. Limbo=0, Disabled=12706. Hints=0.
% 98.76/99.01 Megabytes=20.36.
% 98.76/99.01 User_CPU=94.45, System_CPU=3.61, Wall_clock=99.
% 98.76/99.01
% 98.76/99.01 ============================== end of statistics =====================
% 98.76/99.01
% 98.76/99.01 ============================== end of search =========================
% 98.76/99.01
% 98.76/99.01 THEOREM PROVED
% 98.76/99.01 % SZS status Unsatisfiable
% 98.76/99.01
% 98.76/99.01 Exiting with 1 proof.
% 98.76/99.01
% 98.76/99.01 Process 7053 exit (max_proofs) Tue May 31 18:06:50 2022
% 98.76/99.01 Prover9 interrupted
%------------------------------------------------------------------------------