TSTP Solution File: ALG246-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ALG246-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 : Thu Jul 14 17:54:14 EDT 2022
% Result : Unsatisfiable 13.46s 13.76s
% Output : Refutation 13.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG246-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 05:53:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 13.46/13.76 ============================== Prover9 ===============================
% 13.46/13.76 Prover9 (32) version 2009-11A, November 2009.
% 13.46/13.76 Process 31893 was started by sandbox on n017.cluster.edu,
% 13.46/13.76 Thu Jun 9 05:53:34 2022
% 13.46/13.76 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_31740_n017.cluster.edu".
% 13.46/13.76 ============================== end of head ===========================
% 13.46/13.76
% 13.46/13.76 ============================== INPUT =================================
% 13.46/13.76
% 13.46/13.76 % Reading from file /tmp/Prover9_31740_n017.cluster.edu
% 13.46/13.76
% 13.46/13.76 set(prolog_style_variables).
% 13.46/13.76 set(auto2).
% 13.46/13.76 % set(auto2) -> set(auto).
% 13.46/13.76 % set(auto) -> set(auto_inference).
% 13.46/13.76 % set(auto) -> set(auto_setup).
% 13.46/13.76 % set(auto_setup) -> set(predicate_elim).
% 13.46/13.76 % set(auto_setup) -> assign(eq_defs, unfold).
% 13.46/13.76 % set(auto) -> set(auto_limits).
% 13.46/13.76 % set(auto_limits) -> assign(max_weight, "100.000").
% 13.46/13.76 % set(auto_limits) -> assign(sos_limit, 20000).
% 13.46/13.76 % set(auto) -> set(auto_denials).
% 13.46/13.76 % set(auto) -> set(auto_process).
% 13.46/13.76 % set(auto2) -> assign(new_constants, 1).
% 13.46/13.76 % set(auto2) -> assign(fold_denial_max, 3).
% 13.46/13.76 % set(auto2) -> assign(max_weight, "200.000").
% 13.46/13.76 % set(auto2) -> assign(max_hours, 1).
% 13.46/13.76 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 13.46/13.76 % set(auto2) -> assign(max_seconds, 0).
% 13.46/13.76 % set(auto2) -> assign(max_minutes, 5).
% 13.46/13.76 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 13.46/13.76 % set(auto2) -> set(sort_initial_sos).
% 13.46/13.76 % set(auto2) -> assign(sos_limit, -1).
% 13.46/13.76 % set(auto2) -> assign(lrs_ticks, 3000).
% 13.46/13.76 % set(auto2) -> assign(max_megs, 400).
% 13.46/13.76 % set(auto2) -> assign(stats, some).
% 13.46/13.76 % set(auto2) -> clear(echo_input).
% 13.46/13.76 % set(auto2) -> set(quiet).
% 13.46/13.76 % set(auto2) -> clear(print_initial_clauses).
% 13.46/13.76 % set(auto2) -> clear(print_given).
% 13.46/13.76 assign(lrs_ticks,-1).
% 13.46/13.76 assign(sos_limit,10000).
% 13.46/13.76 assign(order,kbo).
% 13.46/13.76 set(lex_order_vars).
% 13.46/13.76 clear(print_given).
% 13.46/13.76
% 13.46/13.76 % formulas(sos). % not echoed (14 formulas)
% 13.46/13.76
% 13.46/13.76 ============================== end of input ==========================
% 13.46/13.76
% 13.46/13.76 % From the command line: assign(max_seconds, 300).
% 13.46/13.76
% 13.46/13.76 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 13.46/13.76
% 13.46/13.76 % Formulas that are not ordinary clauses:
% 13.46/13.76
% 13.46/13.76 ============================== end of process non-clausal formulas ===
% 13.46/13.76
% 13.46/13.76 ============================== PROCESS INITIAL CLAUSES ===============
% 13.46/13.76
% 13.46/13.76 ============================== PREDICATE ELIMINATION =================
% 13.46/13.76
% 13.46/13.76 ============================== end predicate elimination =============
% 13.46/13.76
% 13.46/13.76 Auto_denials:
% 13.46/13.76 % copying label goals to answer in negative clause
% 13.46/13.76
% 13.46/13.76 Term ordering decisions:
% 13.46/13.76 Function symbol KB weights: tptp3=1. tptp5=1. a=1. b=1. tptp0=1. tptp1=1. tptp4=1. v=1. tptp2=1. n=1. m=1.
% 13.46/13.76
% 13.46/13.76 ============================== end of process initial clauses ========
% 13.46/13.76
% 13.46/13.76 ============================== CLAUSES FOR SEARCH ====================
% 13.46/13.76
% 13.46/13.76 ============================== end of clauses for search =============
% 13.46/13.76
% 13.46/13.76 ============================== SEARCH ================================
% 13.46/13.76
% 13.46/13.76 % Starting search at 0.01 seconds.
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=79.000, iters=3423
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=57.000, iters=3377
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=55.000, iters=3336
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=49.000, iters=3380
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=45.000, iters=3366
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=43.000, iters=3350
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=41.000, iters=3339
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=39.000, iters=3395
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=35.000, iters=3408
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=33.000, iters=3336
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=32.000, iters=3345
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=31.000, iters=3340
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=29.000, iters=3363
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=27.000, iters=3340
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=25.000, iters=3348
% 13.46/13.76
% 13.46/13.76 Low Water (displace): id=6055, wt=113.000
% 13.46/13.76
% 13.46/13.76 Low Water (displace): id=16410, wt=23.000
% 13.46/13.76
% 13.46/13.76 Low Water (displace): id=16450, wt=19.000
% 13.46/13.76
% 13.46/13.76 Low Water (displace): id=17162, wt=16.000
% 13.46/13.76
% 13.46/13.76 Low Water (displace): id=17251, wt=15.000
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=24.000, iters=3379
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=23.000, iters=3335
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=22.000, iters=3333
% 13.46/13.76
% 13.46/13.76 Low Water (displace): id=22929, wt=14.000
% 13.46/13.76
% 13.46/13.76 Low Water (keep): wt=21.000, iters=3379
% 13.46/13.76
% 13.46/13.76 ============================== PROOF =================================
% 13.46/13.76 % SZS status Unsatisfiable
% 13.46/13.76 % SZS output start Refutation
% 13.46/13.76
% 13.46/13.76 % Proof 1 at 12.57 (+ 0.22) seconds: goals.
% 13.46/13.76 % Length of proof is 96.
% 13.46/13.76 % Level of proof is 22.
% 13.46/13.76 % Maximum clause weight is 84.000.
% 13.46/13.76 % Given clauses 697.
% 13.46/13.76
% 13.46/13.76 1 tptp1(tptp5,A) = A # label(c02) # label(axiom). [assumption].
% 13.46/13.76 2 tptp0(tptp3,A) = tptp5 # label(c05) # label(axiom). [assumption].
% 13.46/13.76 3 tptp2(tptp2(A)) = A # label(c12) # label(axiom). [assumption].
% 13.46/13.76 4 m(A) = tptp0(A,tptp3) # label(c10) # label(axiom). [assumption].
% 13.46/13.76 5 n(A) = m(tptp2(A)) # label(c11) # label(axiom). [assumption].
% 13.46/13.76 6 n(A) = tptp0(tptp2(A),tptp3). [copy(5),rewrite([4(3)])].
% 13.46/13.76 7 tptp1(A,B) = tptp1(B,A) # label(c01) # label(axiom). [assumption].
% 13.46/13.76 8 tptp4(A,B) = tptp1(A,tptp0(A,B)) # label(c07) # label(axiom). [assumption].
% 13.46/13.76 9 tptp1(A,tptp0(A,B)) = tptp1(B,tptp0(B,A)) # label(c03) # label(axiom). [assumption].
% 13.46/13.76 10 tptp0(tptp1(A,B),C) = tptp0(A,tptp0(B,C)) # label(c04) # label(axiom). [assumption].
% 13.46/13.76 11 n(tptp0(A,B)) = n(tptp0(tptp2(B),tptp2(A))) # label(c13) # label(axiom). [assumption].
% 13.46/13.76 12 tptp0(tptp2(tptp0(tptp2(A),tptp2(B))),tptp3) = tptp0(tptp2(tptp0(B,A)),tptp3). [copy(11),rewrite([6(2),6(8)]),flip(a)].
% 13.46/13.76 13 tptp0(tptp1(A,B),tptp3) = tptp0(A,tptp3) v tptp0(B,tptp3) # label(c09) # label(axiom). [assumption].
% 13.46/13.76 14 tptp0(A,tptp3) v tptp0(B,tptp3) = tptp0(A,tptp0(B,tptp3)). [copy(13),rewrite([10(3)]),flip(a)].
% 13.46/13.76 15 tptp0(tptp0(tptp0(A,B),C),tptp0(tptp0(tptp0(B,A),C),C)) = tptp5 # label(c06) # label(axiom). [assumption].
% 13.46/13.76 16 A v B = tptp4(tptp0(tptp0(A,B),B),tptp0(tptp0(B,A),A)) # label(c08) # label(axiom). [assumption].
% 13.46/13.76 17 A v B = tptp1(tptp0(tptp0(A,B),B),tptp0(tptp0(tptp0(A,B),B),tptp0(tptp0(B,A),A))). [copy(16),rewrite([8(6)])].
% 13.46/13.76 18 tptp1(n(a),n(tptp0(a,b))) v n(b) != n(b) # label(goals) # label(negated_conjecture) # answer(goals). [assumption].
% 13.46/13.76 19 tptp1(tptp0(tptp0(tptp0(tptp2(a),tptp3),tptp0(tptp0(tptp2(tptp0(a,b)),tptp3),tptp0(tptp2(b),tptp3))),tptp0(tptp2(b),tptp3)),tptp0(tptp0(tptp0(tptp0(tptp2(a),tptp3),tptp0(tptp0(tptp2(tptp0(a,b)),tptp3),tptp0(tptp2(b),tptp3))),tptp0(tptp2(b),tptp3)),tptp0(tptp0(tptp0(tptp2(b),tptp3),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))))) != tptp0(tptp2(b),tptp3) # answer(goals). [copy(18),rewrite([6(2),6(8),6(13),17(16),10(16),10(37),6(74)])].
% 13.46/13.76 20 tptp1(A,tptp5) = A. [back_rewrite(1),rewrite([7(2)])].
% 13.46/13.76 21 tptp1(tptp0(tptp0(tptp0(A,tptp3),tptp0(B,tptp3)),tptp0(B,tptp3)),tptp0(tptp0(tptp0(tptp0(A,tptp3),tptp0(B,tptp3)),tptp0(B,tptp3)),tptp0(tptp0(tptp0(B,tptp3),tptp0(A,tptp3)),tptp0(A,tptp3)))) = tptp0(A,tptp0(B,tptp3)). [back_rewrite(14),rewrite([17(5)])].
% 13.46/13.76 22 tptp1(A,tptp0(A,tptp3)) = tptp3. [para(2(a,1),9(a,1,2)),rewrite([20(3)]),flip(a)].
% 13.46/13.76 23 tptp0(A,tptp5) = tptp5. [para(2(a,1),10(a,2)),rewrite([7(2),10(3),2(2)])].
% 13.46/13.76 24 tptp0(A,tptp0(B,C)) = tptp0(B,tptp0(A,C)). [para(7(a,1),10(a,1,1)),rewrite([10(2)])].
% 13.46/13.76 25 tptp1(tptp1(A,B),tptp0(A,tptp0(B,C))) = tptp1(C,tptp0(C,tptp1(A,B))). [para(10(a,1),9(a,1,2))].
% 13.46/13.76 26 tptp0(A,tptp0(tptp0(A,B),C)) = tptp0(B,tptp0(tptp0(B,A),C)). [para(9(a,1),10(a,1,1)),rewrite([10(3)])].
% 13.46/13.76 27 tptp1(tptp0(A,tptp0(tptp0(A,tptp0(tptp0(B,tptp3),tptp3)),tptp3)),tptp0(B,tptp0(tptp0(B,tptp0(tptp0(A,tptp3),tptp3)),tptp0(tptp0(A,tptp0(tptp0(A,tptp0(tptp0(B,tptp3),tptp3)),tptp3)),tptp3)))) = tptp0(B,tptp0(A,tptp3)). [back_rewrite(21),rewrite([24(5),24(8),24(13),24(16),24(21),24(24),24(25),24(24)])].
% 13.46/13.76 28 tptp1(tptp0(tptp2(b),tptp0(tptp0(tptp2(b),tptp0(tptp0(tptp2(a),tptp3),tptp0(tptp0(tptp2(tptp0(a,b)),tptp3),tptp3))),tptp3)),tptp0(tptp0(tptp0(tptp2(b),tptp3),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))),tptp0(tptp0(tptp2(b),tptp0(tptp0(tptp2(b),tptp0(tptp0(tptp2(a),tptp3),tptp0(tptp0(tptp2(tptp0(a,b)),tptp3),tptp3))),tptp3)),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))))) != tptp0(tptp2(b),tptp3) # answer(goals). [back_rewrite(19),rewrite([24(15),24(16),24(21),24(36),24(37),24(42),24(71)])].
% 13.46/13.76 30 tptp0(tptp2(tptp0(A,tptp2(B))),tptp3) = tptp0(tptp2(tptp0(B,tptp2(A))),tptp3). [para(3(a,1),12(a,1,1,1,1))].
% 13.46/13.76 32 tptp1(tptp0(tptp2(tptp0(A,B)),tptp3),tptp2(tptp0(tptp2(B),tptp2(A)))) = tptp3. [para(12(a,1),9(a,1,2)),rewrite([7(9),2(16),20(12)])].
% 13.46/13.76 40 tptp0(A,tptp0(tptp5,B)) = tptp0(A,B). [para(20(a,1),10(a,1,1)),flip(a)].
% 13.46/13.76 41 tptp0(A,tptp0(tptp0(A,tptp3),B)) = tptp5. [para(22(a,1),10(a,1,1)),rewrite([2(2)]),flip(a)].
% 13.46/13.76 42 tptp1(tptp1(A,B),tptp0(A,tptp0(B,tptp3))) = tptp3. [para(10(a,1),22(a,1,2))].
% 13.46/13.76 43 tptp1(tptp5,tptp0(tptp5,A)) = A. [para(23(a,1),9(a,1,2)),rewrite([20(2)]),flip(a)].
% 13.46/13.76 44 tptp0(tptp0(tptp5,A),tptp0(tptp0(tptp0(tptp5,B),A),A)) = tptp5. [para(23(a,1),15(a,1,1,1))].
% 13.46/13.76 51 tptp0(tptp5,A) = A. [para(40(a,1),43(a,1,2)),rewrite([43(4)]),flip(a)].
% 13.46/13.76 52 tptp0(A,tptp0(tptp0(B,A),A)) = tptp5. [back_rewrite(44),rewrite([51(2),51(2)])].
% 13.46/13.76 54 tptp1(tptp0(A,B),tptp0(tptp0(A,B),C)) = tptp1(C,tptp0(A,tptp0(C,B))). [para(24(a,1),9(a,2,2))].
% 13.46/13.76 60 tptp0(A,tptp0(B,tptp0(tptp0(A,tptp3),C))) = tptp5. [para(41(a,1),24(a,2,2)),rewrite([23(7)])].
% 13.46/13.76 61 tptp0(A,A) = tptp5. [para(2(a,1),52(a,1,2,1)),rewrite([51(2)])].
% 13.46/13.76 67 tptp0(A,tptp0(B,tptp1(A,B))) = tptp5. [para(61(a,1),10(a,1)),flip(a)].
% 13.46/13.76 68 tptp0(A,tptp0(tptp0(A,B),B)) = tptp5. [para(61(a,1),10(a,2)),rewrite([7(2),10(3)])].
% 13.46/13.76 70 tptp0(A,tptp0(B,A)) = tptp5. [para(61(a,1),24(a,2,2)),rewrite([23(4)])].
% 13.46/13.76 71 tptp0(A,tptp0(B,tptp0(C,tptp1(A,B)))) = tptp5. [para(70(a,1),10(a,1)),flip(a)].
% 13.46/13.76 72 tptp0(A,tptp0(B,tptp0(C,A))) = tptp5. [para(10(a,1),70(a,1,2))].
% 13.46/13.76 78 tptp0(A,tptp0(tptp0(A,tptp1(B,C)),D)) = tptp0(B,tptp0(C,tptp0(tptp0(B,tptp0(C,A)),D))). [para(25(a,1),10(a,1,1)),rewrite([10(4),10(9)])].
% 13.46/13.76 95 tptp0(A,tptp0(tptp0(A,B),tptp1(B,tptp0(B,A)))) = tptp5. [para(9(a,1),67(a,1,2,2))].
% 13.46/13.76 103 tptp0(A,tptp0(B,tptp0(tptp0(A,tptp0(B,C)),C))) = tptp5. [para(68(a,1),10(a,1)),rewrite([10(3)]),flip(a)].
% 13.46/13.76 159 tptp0(A,tptp0(tptp0(A,B),tptp0(tptp0(B,tptp3),C))) = tptp5. [para(60(a,1),26(a,1)),flip(a)].
% 13.46/13.76 171 tptp0(A,tptp0(B,tptp0(tptp0(B,C),tptp1(A,C)))) = tptp5. [para(26(a,1),71(a,1,2))].
% 13.46/13.76 180 tptp1(tptp5,tptp0(A,tptp3)) = tptp0(A,tptp3). [para(51(a,1),27(a,1,1,2,1,2,1)),rewrite([61(3),23(2),51(3),51(9),51(10),61(10),23(9),51(10),61(12),61(5),7(4),24(8),51(7)])].
% 13.46/13.76 182 tptp0(A,tptp0(A,tptp3)) = tptp0(A,tptp3). [para(41(a,1),27(a,1,1,2,1)),rewrite([51(3),68(7),68(8),51(6),51(8),68(7),7(4),180(4)]),flip(a)].
% 13.46/13.76 197 tptp0(A,tptp0(A,tptp0(B,tptp3))) = tptp0(A,tptp0(B,tptp3)). [para(182(a,1),10(a,1)),rewrite([10(3),10(6),24(7),182(6)]),flip(a)].
% 13.46/13.76 199 tptp1(tptp0(A,tptp3),tptp0(tptp0(A,tptp3),tptp1(B,A))) = tptp3. [para(182(a,1),25(a,1,2,2)),rewrite([42(5)]),flip(a)].
% 13.46/13.76 249 tptp0(tptp2(tptp0(A,tptp2(tptp5))),tptp3) = tptp0(A,tptp3). [para(51(a,1),30(a,1,1,1)),rewrite([3(2)]),flip(a)].
% 13.46/13.76 266 tptp0(tptp2(tptp5),tptp3) = tptp5. [para(2(a,1),249(a,1,1,1)),rewrite([61(7)])].
% 13.46/13.76 277 tptp1(tptp5,tptp2(tptp5)) = tptp3. [para(266(a,1),9(a,1,2)),rewrite([7(4),2(9),20(7)])].
% 13.46/13.76 278 tptp0(tptp2(tptp5),A) = tptp5. [para(266(a,1),41(a,1,2,1)),rewrite([51(4)])].
% 13.46/13.76 293 tptp1(A,tptp0(A,tptp2(tptp5))) = tptp3. [para(278(a,1),9(a,1,2)),rewrite([7(4),277(4)]),flip(a)].
% 13.46/13.76 307 tptp1(tptp5,tptp2(tptp0(tptp2(tptp0(A,B)),tptp2(B)))) = tptp3. [para(70(a,1),32(a,1,1,1,1)),rewrite([278(4)])].
% 13.46/13.76 456 tptp0(tptp2(tptp0(tptp2(tptp0(A,B)),tptp2(B))),C) = tptp5. [para(307(a,1),10(a,1,1)),rewrite([2(2),51(9)]),flip(a)].
% 13.46/13.76 510 tptp0(tptp2(tptp0(A,tptp0(tptp2(tptp0(B,C)),tptp2(C)))),tptp3) = tptp5. [para(456(a,1),12(a,1,1,1)),rewrite([278(4)]),flip(a)].
% 13.46/13.76 645 tptp1(tptp0(tptp0(tptp0(tptp2(b),tptp3),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))),tptp0(tptp2(b),tptp0(tptp0(tptp2(b),tptp0(tptp0(tptp2(a),tptp3),tptp0(tptp0(tptp2(tptp0(a,b)),tptp3),tptp3))),tptp0(tptp0(tptp0(tptp0(tptp2(b),tptp3),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))),tptp3)))) != tptp0(tptp2(b),tptp3) # answer(goals). [para(54(a,2),28(a,1)),rewrite([24(78),24(77)])].
% 13.46/13.76 648 tptp1(tptp0(A,B),tptp0(A,tptp0(tptp0(A,B),tptp3))) = tptp0(A,tptp3). [para(41(a,1),54(a,2,2)),rewrite([24(5),7(10),180(10)])].
% 13.46/13.76 659 tptp1(tptp0(tptp0(tptp0(A,B),C),D),tptp0(A,tptp0(tptp0(tptp0(tptp0(A,B),C),D),B))) = tptp1(tptp0(A,B),tptp0(C,tptp0(tptp0(A,tptp0(C,B)),D))). [para(26(a,1),54(a,1,2)),rewrite([24(3)]),flip(a)].
% 13.46/13.76 724 tptp1(tptp0(A,tptp1(B,tptp0(B,A))),tptp0(A,tptp0(tptp0(A,tptp1(B,tptp0(B,A))),B))) = tptp1(tptp5,tptp0(A,B)). [para(95(a,1),54(a,2,2)),rewrite([24(8),7(12)])].
% 13.46/13.76 1010 tptp0(A,tptp0(tptp0(tptp0(B,A),tptp3),C)) = tptp5. [para(70(a,1),159(a,1,2,1)),rewrite([51(6)])].
% 13.46/13.76 1071 tptp0(A,tptp0(tptp0(B,A),tptp3)) = tptp0(A,tptp3). [para(1010(a,1),27(a,1,1,2,1)),rewrite([51(3),1010(15),51(12),24(14),103(15),7(4),180(4),24(6)]),flip(a)].
% 13.46/13.76 1146 tptp0(A,tptp0(B,tptp0(tptp0(C,A),tptp3))) = tptp0(A,tptp0(B,tptp3)). [para(1071(a,1),24(a,2,2)),rewrite([24(8)])].
% 13.46/13.76 1254 tptp0(A,tptp0(B,tptp1(A,tptp0(C,B)))) = tptp5. [para(70(a,1),171(a,1,2,2,1)),rewrite([51(4)])].
% 13.46/13.76 1330 tptp0(A,tptp1(tptp5,tptp0(B,A))) = tptp5. [para(1254(a,1),51(a,1)),flip(a)].
% 13.46/13.76 1402 tptp1(tptp1(tptp5,tptp0(A,B)),tptp0(tptp0(A,B),B)) = B. [para(1330(a,1),9(a,1,2)),rewrite([20(2),10(7),51(7)]),flip(a)].
% 13.46/13.76 1419 tptp1(tptp1(tptp5,tptp0(A,tptp0(B,C))),tptp0(A,tptp0(tptp0(A,tptp0(B,C)),C))) = tptp1(tptp5,tptp0(A,C)). [para(1330(a,1),54(a,1,2)),rewrite([7(3),24(6),24(10),10(12),51(12)]),flip(a)].
% 13.46/13.76 1544 tptp0(A,tptp0(tptp0(A,B),tptp3)) = tptp0(A,tptp0(B,tptp3)). [para(26(a,1),197(a,1,2)),rewrite([1146(5)]),flip(a)].
% 13.46/13.76 1568 tptp1(tptp0(A,B),tptp0(A,tptp0(B,tptp3))) = tptp0(A,tptp3). [back_rewrite(648),rewrite([1544(5)])].
% 13.46/13.76 2235 tptp0(A,tptp0(tptp0(A,tptp1(B,C)),B)) = tptp5. [para(78(a,2),72(a,1))].
% 13.46/13.76 2673 tptp1(tptp5,tptp0(A,tptp1(B,tptp0(B,A)))) = tptp1(tptp5,tptp0(A,B)). [back_rewrite(724),rewrite([2235(8),7(5)])].
% 13.46/13.76 7624 tptp1(tptp5,tptp0(A,B)) = tptp0(A,B). [para(24(a,1),1402(a,1,1,2)),rewrite([24(6),24(8),1419(9)])].
% 13.46/13.76 7628 tptp2(tptp5) = tptp3. [para(293(a,1),1402(a,1,1)),rewrite([51(5),61(6),20(3)]),flip(a)].
% 13.46/13.76 7724 tptp0(A,tptp1(B,tptp0(B,A))) = tptp0(A,B). [back_rewrite(2673),rewrite([7624(5),7624(6)])].
% 13.46/13.76 7963 tptp2(tptp3) = tptp5. [para(7628(a,1),3(a,1,1))].
% 13.46/13.76 8264 tptp0(A,tptp1(A,tptp0(A,B))) = tptp0(A,B). [para(9(a,1),7724(a,1,2))].
% 13.46/13.76 8273 tptp0(tptp0(A,tptp3),tptp3) = tptp0(tptp0(A,tptp3),A). [para(182(a,1),7724(a,1,2,2)),rewrite([22(5)])].
% 13.46/13.76 8688 tptp0(tptp0(A,tptp3),tptp1(A,B)) = tptp0(tptp0(A,tptp3),tptp3). [para(199(a,1),8264(a,1,2)),rewrite([7(7)]),flip(a)].
% 13.46/13.76 8720 tptp0(tptp2(tptp0(tptp0(A,tptp3),A)),tptp3) = tptp0(tptp0(A,tptp3),tptp3). [para(8273(a,1),12(a,2,1,1)),rewrite([7963(2),51(5),3(4)]),flip(a)].
% 13.46/13.76 9332 tptp0(A,tptp0(tptp0(tptp0(A,B),tptp3),tptp3)) = tptp0(A,tptp0(tptp0(B,tptp3),tptp3)). [para(1544(a,1),1544(a,1,2,1)),rewrite([1544(6)]),flip(a)].
% 13.46/13.76 13918 tptp0(tptp0(tptp0(A,B),tptp3),tptp3) = tptp0(A,tptp0(tptp0(B,tptp3),tptp3)). [para(1568(a,1),8688(a,1,2)),rewrite([24(6),9332(6)]),flip(a)].
% 13.46/13.76 15664 tptp0(tptp2(tptp0(A,tptp0(tptp2(tptp0(B,C)),tptp2(C)))),D) = tptp5. [para(510(a,1),41(a,1,2,1)),rewrite([51(8)])].
% 13.46/13.76 15676 tptp2(tptp0(A,tptp0(tptp2(tptp0(B,C)),tptp2(C)))) = tptp3. [para(510(a,1),8273(a,1,1)),rewrite([51(3),15664(9),51(9)]),flip(a)].
% 13.46/13.76 15697 tptp2(tptp0(tptp2(tptp0(A,B)),tptp2(B))) = tptp3. [para(51(a,1),15676(a,1,1))].
% 13.46/13.76 15725 tptp0(tptp2(tptp0(A,B)),tptp2(B)) = tptp5. [para(15697(a,1),3(a,1,1)),rewrite([7963(2)]),flip(a)].
% 13.46/13.76 15833 tptp0(tptp2(tptp0(A,tptp2(B))),B) = tptp5. [para(3(a,1),15725(a,1,2))].
% 13.46/13.76 15891 tptp0(tptp0(A,tptp3),tptp0(tptp2(tptp0(B,tptp2(A))),C)) = tptp5. [para(15833(a,1),159(a,1,2,1)),rewrite([51(8),24(7)])].
% 13.46/13.76 25731 tptp0(tptp0(A,tptp3),tptp0(tptp0(tptp2(A),tptp3),tptp3)) = tptp5. [para(8720(a,1),15891(a,1,2))].
% 13.46/13.76 25748 tptp0(tptp2(A),tptp0(tptp0(tptp2(B),tptp3),tptp0(tptp0(tptp2(tptp0(B,A)),tptp3),tptp3))) = tptp5. [para(12(a,1),25731(a,1,1)),rewrite([3(9),13918(11),24(12),24(11)])].
% 13.46/13.76 25771 $F # answer(goals). [back_rewrite(645),rewrite([25748(46),51(62),659(62),10(30),25748(31),51(28),61(27),7(6),7624(6)]),xx(a)].
% 13.46/13.76
% 13.46/13.76 % SZS output end Refutation
% 13.46/13.76 ============================== end of proof ==========================
% 13.46/13.76
% 13.46/13.76 ============================== STATISTICS ============================
% 13.46/13.76
% 13.46/13.76 Given=697. Generated=354486. Kept=25765. proofs=1.
% 13.46/13.76 Usable=504. Sos=10000. Demods=10160. Limbo=23, Disabled=15252. Hints=0.
% 13.46/13.76 Megabytes=26.42.
% 13.46/13.76 User_CPU=12.57, System_CPU=0.22, Wall_clock=13.
% 13.46/13.76
% 13.46/13.76 ============================== end of statistics =====================
% 13.46/13.76
% 13.46/13.76 ============================== end of search =========================
% 13.46/13.76
% 13.46/13.76 THEOREM PROVED
% 13.46/13.76 % SZS status Unsatisfiable
% 13.46/13.76
% 13.46/13.76 Exiting with 1 proof.
% 13.46/13.76
% 13.46/13.76 Process 31893 exit (max_proofs) Thu Jun 9 05:53:47 2022
% 13.46/13.76 Prover9 interrupted
%------------------------------------------------------------------------------