TSTP Solution File: TOP053-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : TOP053-1 : 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 : Thu Jul 21 21:33:56 EDT 2022
% Result : Unsatisfiable 0.75s 1.08s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n026.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 : Sun May 29 14:36:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.08 ============================== Prover9 ===============================
% 0.75/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.08 Process 23538 was started by sandbox2 on n026.cluster.edu,
% 0.75/1.08 Sun May 29 14:36:25 2022
% 0.75/1.08 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_23384_n026.cluster.edu".
% 0.75/1.08 ============================== end of head ===========================
% 0.75/1.08
% 0.75/1.08 ============================== INPUT =================================
% 0.75/1.08
% 0.75/1.08 % Reading from file /tmp/Prover9_23384_n026.cluster.edu
% 0.75/1.08
% 0.75/1.08 set(prolog_style_variables).
% 0.75/1.08 set(auto2).
% 0.75/1.08 % set(auto2) -> set(auto).
% 0.75/1.08 % set(auto) -> set(auto_inference).
% 0.75/1.08 % set(auto) -> set(auto_setup).
% 0.75/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.08 % set(auto) -> set(auto_limits).
% 0.75/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.08 % set(auto) -> set(auto_denials).
% 0.75/1.08 % set(auto) -> set(auto_process).
% 0.75/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.08 % set(auto2) -> assign(stats, some).
% 0.75/1.08 % set(auto2) -> clear(echo_input).
% 0.75/1.08 % set(auto2) -> set(quiet).
% 0.75/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.08 % set(auto2) -> clear(print_given).
% 0.75/1.08 assign(lrs_ticks,-1).
% 0.75/1.08 assign(sos_limit,10000).
% 0.75/1.08 assign(order,kbo).
% 0.75/1.08 set(lex_order_vars).
% 0.75/1.08 clear(print_given).
% 0.75/1.08
% 0.75/1.08 % formulas(sos). % not echoed (19 formulas)
% 0.75/1.08
% 0.75/1.08 ============================== end of input ==========================
% 0.75/1.08
% 0.75/1.08 % From the command line: assign(max_seconds, 300).
% 0.75/1.08
% 0.75/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.08
% 0.75/1.08 % Formulas that are not ordinary clauses:
% 0.75/1.08
% 0.75/1.08 ============================== end of process non-clausal formulas ===
% 0.75/1.08
% 0.75/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.08
% 0.75/1.08 ============================== PREDICATE ELIMINATION =================
% 0.75/1.08
% 0.75/1.08 ============================== end predicate elimination =============
% 0.75/1.08
% 0.75/1.08 Auto_denials:
% 0.75/1.08 % copying label goal to answer in negative clause
% 0.75/1.08
% 0.75/1.08 Term ordering decisions:
% 0.75/1.08 Function symbol KB weights: a3=1. a2=1. a7=1. a8=1. a1=1. a10=1. a11=1. a12=1. a4=1. a6=1. a13=1. a14=1. a15=1. a5=1. a9=1. product=1. tuple=1.
% 0.75/1.08
% 0.75/1.08 ============================== end of process initial clauses ========
% 0.75/1.08
% 0.75/1.08 ============================== CLAUSES FOR SEARCH ====================
% 0.75/1.08
% 0.75/1.08 ============================== end of clauses for search =============
% 0.75/1.08
% 0.75/1.08 ============================== SEARCH ================================
% 0.75/1.08
% 0.75/1.08 % Starting search at 0.01 seconds.
% 0.75/1.08
% 0.75/1.08 ============================== PROOF =================================
% 0.75/1.08 % SZS status Unsatisfiable
% 0.75/1.08 % SZS output start Refutation
% 0.75/1.08
% 0.75/1.08 % Proof 1 at 0.06 (+ 0.01) seconds: goal.
% 0.75/1.08 % Length of proof is 134.
% 0.75/1.08 % Level of proof is 19.
% 0.75/1.08 % Maximum clause weight is 31.000.
% 0.75/1.08 % Given clauses 94.
% 0.75/1.08
% 0.75/1.08 1 product(A,A) = A # label(involutory_quandle) # label(axiom). [assumption].
% 0.75/1.08 2 product(a1,a2) = a3 # label(knot) # label(axiom). [assumption].
% 0.75/1.08 3 product(a3,a4) = a5 # label(knot_03) # label(axiom). [assumption].
% 0.75/1.08 4 product(a5,a6) = a7 # label(knot_04) # label(axiom). [assumption].
% 0.75/1.08 5 product(a7,a3) = a8 # label(knot_05) # label(axiom). [assumption].
% 0.75/1.08 6 product(a8,a2) = a9 # label(knot_06) # label(axiom). [assumption].
% 0.75/1.08 7 product(a9,a1) = a10 # label(knot_07) # label(axiom). [assumption].
% 0.75/1.08 8 product(a10,a11) = a12 # label(knot_08) # label(axiom). [assumption].
% 0.75/1.08 9 product(a12,a3) = a13 # label(knot_09) # label(axiom). [assumption].
% 0.75/1.08 10 product(a13,a8) = a6 # label(knot_10) # label(axiom). [assumption].
% 0.75/1.08 11 product(a6,a7) = a2 # label(knot_11) # label(axiom). [assumption].
% 0.75/1.08 12 product(a2,a12) = a14 # label(knot_12) # label(axiom). [assumption].
% 0.75/1.08 13 product(a14,a3) = a15 # label(knot_13) # label(axiom). [assumption].
% 0.75/1.08 14 product(a15,a8) = a4 # label(knot_14) # label(axiom). [assumption].
% 0.75/1.08 15 product(a4,a7) = a11 # label(knot_15) # label(axiom). [assumption].
% 0.75/1.08 16 product(a11,a10) = a1 # label(knot_16) # label(axiom). [assumption].
% 0.75/1.08 17 product(product(A,B),B) = A # label(involutory_quandle_01) # label(axiom). [assumption].
% 0.75/1.08 18 product(product(A,B),C) = product(product(A,C),product(B,C)) # label(involutory_quandle_02) # label(axiom). [assumption].
% 0.75/1.08 19 product(product(A,B),product(C,B)) = product(product(A,C),B). [copy(18),flip(a)].
% 0.75/1.08 20 tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) # label(goal) # label(negated_conjecture) # answer(goal). [assumption].
% 0.75/1.08 21 product(a3,a2) = a1. [para(2(a,1),17(a,1,1))].
% 0.75/1.08 22 product(a5,a4) = a3. [para(3(a,1),17(a,1,1))].
% 0.75/1.08 23 product(a7,a6) = a5. [para(4(a,1),17(a,1,1))].
% 0.75/1.08 24 product(a8,a3) = a7. [para(5(a,1),17(a,1,1))].
% 0.75/1.08 25 product(a9,a2) = a8. [para(6(a,1),17(a,1,1))].
% 0.75/1.08 26 product(a10,a1) = a9. [para(7(a,1),17(a,1,1))].
% 0.75/1.08 27 product(a12,a11) = a10. [para(8(a,1),17(a,1,1))].
% 0.75/1.08 29 product(a6,a8) = a13. [para(10(a,1),17(a,1,1))].
% 0.75/1.08 30 product(a2,a7) = a6. [para(11(a,1),17(a,1,1))].
% 0.75/1.08 31 product(a14,a12) = a2. [para(12(a,1),17(a,1,1))].
% 0.75/1.08 32 product(a15,a3) = a14. [para(13(a,1),17(a,1,1))].
% 0.75/1.08 33 product(a4,a8) = a15. [para(14(a,1),17(a,1,1))].
% 0.75/1.08 34 product(a11,a7) = a4. [para(15(a,1),17(a,1,1))].
% 0.75/1.08 35 product(a1,a10) = a11. [para(16(a,1),17(a,1,1))].
% 0.75/1.08 36 product(product(A,B),A) = product(A,product(B,A)). [para(1(a,1),19(a,1,1)),flip(a)].
% 0.75/1.08 37 product(product(a1,A),a2) = product(a3,product(A,a2)). [para(2(a,1),19(a,1,1)),flip(a)].
% 0.75/1.08 38 product(product(A,a1),a2) = product(product(A,a2),a3). [para(2(a,1),19(a,1,2)),flip(a)].
% 0.75/1.08 39 product(product(a3,A),a4) = product(a5,product(A,a4)). [para(3(a,1),19(a,1,1)),flip(a)].
% 0.75/1.08 41 product(product(a5,A),a6) = product(a7,product(A,a6)). [para(4(a,1),19(a,1,1)),flip(a)].
% 0.75/1.08 42 product(product(A,a5),a6) = product(product(A,a6),a7). [para(4(a,1),19(a,1,2)),flip(a)].
% 0.75/1.08 43 product(product(a7,A),a3) = product(a8,product(A,a3)). [para(5(a,1),19(a,1,1)),flip(a)].
% 0.75/1.08 44 product(product(A,a7),a3) = product(product(A,a3),a8). [para(5(a,1),19(a,1,2)),flip(a)].
% 0.75/1.08 56 product(product(A,a6),a7) = product(product(A,a7),a2). [para(11(a,1),19(a,1,2)),flip(a)].
% 0.75/1.08 63 product(product(a4,A),a7) = product(a11,product(A,a7)). [para(15(a,1),19(a,1,1)),flip(a)].
% 0.75/1.08 71 product(product(A,a5),a6) = product(product(A,a7),a2). [back_rewrite(42),rewrite([56(8)])].
% 0.75/1.08 77 product(product(A,a6),a5) = product(product(A,a7),a6). [para(23(a,1),19(a,1,2))].
% 0.75/1.08 92 product(product(A,a7),a6) = product(product(A,a2),a7). [para(30(a,1),19(a,1,2))].
% 0.75/1.08 93 product(product(A,a6),a5) = product(product(A,a2),a7). [back_rewrite(77),rewrite([92(8)])].
% 0.75/1.08 98 product(product(a4,A),a8) = product(a15,product(A,a8)). [para(33(a,1),19(a,1,1)),flip(a)].
% 0.75/1.08 106 product(a3,product(a4,a3)) = product(a5,a3). [para(3(a,1),36(a,1,1)),flip(a)].
% 0.75/1.08 112 product(a11,a12) = product(a1,a11). [para(8(a,1),36(a,2,2)),rewrite([16(3)]),flip(a)].
% 0.75/1.08 116 product(a5,a7) = product(a7,a2). [para(11(a,1),36(a,2,2)),rewrite([23(3)])].
% 0.75/1.08 120 product(a4,product(a7,a4)) = product(a11,a4). [para(15(a,1),36(a,1,1)),flip(a)].
% 0.75/1.08 126 product(a5,product(a4,a5)) = product(a3,a5). [para(22(a,1),36(a,1,1)),flip(a)].
% 0.75/1.08 127 product(a8,product(a3,a8)) = product(a7,a8). [para(24(a,1),36(a,1,1)),flip(a)].
% 0.75/1.08 129 product(a9,a10) = a12. [para(26(a,1),36(a,1,1)),rewrite([35(7),8(6)])].
% 0.75/1.08 131 product(a12,product(a1,a11)) = product(a10,a12). [para(27(a,1),36(a,1,1)),rewrite([112(7)]),flip(a)].
% 0.75/1.08 133 product(a6,product(a8,a6)) = product(a13,a6). [para(29(a,1),36(a,1,1)),flip(a)].
% 0.75/1.08 135 product(a14,product(a12,a14)) = product(a2,a14). [para(31(a,1),36(a,1,1)),flip(a)].
% 0.75/1.08 138 product(a11,product(a7,a11)) = product(a4,a11). [para(34(a,1),36(a,1,1)),flip(a)].
% 0.75/1.08 153 product(a3,product(a10,a2)) = product(a11,a2). [para(35(a,1),37(a,1,1)),flip(a)].
% 0.75/1.08 157 product(product(a7,a2),a5) = product(a5,product(a7,a5)). [para(116(a,1),36(a,1,1))].
% 0.75/1.08 167 product(a10,a2) = a7. [para(7(a,1),38(a,1,1)),rewrite([25(6),24(6)])].
% 0.75/1.08 172 product(a11,a2) = product(a3,a7). [back_rewrite(153),rewrite([167(4)]),flip(a)].
% 0.75/1.08 173 product(a7,a2) = a10. [para(167(a,1),17(a,1,1))].
% 0.75/1.08 177 product(a5,product(a7,a5)) = product(a10,a5). [back_rewrite(157),rewrite([173(3)]),flip(a)].
% 0.75/1.08 181 product(a5,a7) = a10. [back_rewrite(116),rewrite([173(6)])].
% 0.75/1.08 183 product(product(A,a7),a2) = product(product(A,a2),a10). [para(173(a,1),19(a,1,2)),flip(a)].
% 0.75/1.08 184 product(a10,a7) = a5. [para(173(a,1),36(a,1,1)),rewrite([30(7),23(6)])].
% 0.75/1.08 185 product(product(A,a5),a6) = product(product(A,a2),a10). [back_rewrite(71),rewrite([183(8)])].
% 0.75/1.08 186 product(product(A,a6),a7) = product(product(A,a2),a10). [back_rewrite(56),rewrite([183(8)])].
% 0.75/1.08 188 product(product(A,a10),a7) = product(product(A,a7),a5). [para(184(a,1),19(a,1,2)),flip(a)].
% 0.75/1.08 192 product(a5,product(a2,a4)) = product(a1,a4). [para(21(a,1),39(a,1,1)),flip(a)].
% 0.75/1.08 223 product(a7,product(a4,a6)) = product(a3,a6). [para(22(a,1),41(a,1,1)),flip(a)].
% 0.75/1.08 242 product(a8,product(a2,a3)) = product(a10,a3). [para(43(a,1),38(a,2)),rewrite([38(5),173(3)]),flip(a)].
% 0.75/1.08 250 product(a7,product(product(a4,a2),a10)) = a11. [para(126(a,1),41(a,1,1)),rewrite([185(5),21(3),35(3),185(7)]),flip(a)].
% 0.75/1.08 253 product(product(a3,a7),a8) = product(a3,product(a3,a8)). [para(127(a,1),36(a,2,2)),rewrite([17(5),19(12)]),flip(a)].
% 0.75/1.08 258 product(a15,product(a3,a8)) = product(a11,a3). [para(15(a,1),44(a,1,1)),rewrite([98(8)]),flip(a)].
% 0.75/1.08 262 product(product(a11,a3),a8) = product(a4,a3). [para(34(a,1),44(a,1,1)),flip(a)].
% 0.75/1.08 264 product(product(a5,a3),a8) = product(a10,a3). [para(181(a,1),44(a,1,1)),flip(a)].
% 0.75/1.08 274 product(product(A,product(a8,a6)),product(a13,a6)) = product(product(A,a8),a6). [para(133(a,1),19(a,1,2)),rewrite([19(14)])].
% 0.75/1.08 275 product(product(a8,a13),a6) = product(a8,product(a8,a6)). [para(133(a,1),36(a,2,2)),rewrite([17(5),19(12)]),flip(a)].
% 0.75/1.08 311 product(product(a7,a10),a5) = product(a7,product(a7,a5)). [para(177(a,1),36(a,2,2)),rewrite([17(5),19(12)]),flip(a)].
% 0.75/1.08 328 product(a7,product(product(a2,a4),a6)) = product(product(a1,a4),a6). [para(192(a,1),41(a,1,1)),flip(a)].
% 0.75/1.08 337 product(product(product(a4,a2),a10),product(a4,a6)) = product(product(a4,a3),a6). [para(223(a,1),36(a,2,2)),rewrite([186(5),19(16)])].
% 0.75/1.08 345 product(a11,product(product(a4,a2),a10)) = a7. [para(250(a,1),17(a,1,1))].
% 0.75/1.08 348 a4 = a8. [para(250(a,1),36(a,1,1)),rewrite([34(3),188(9),63(7),30(6),93(7),172(5),17(7),5(4)])].
% 0.75/1.08 350 product(a11,a3) = product(a8,a13). [para(250(a,1),43(a,1,1)),rewrite([348(5),6(7),129(7),9(7)])].
% 0.75/1.08 353 product(a1,a11) = a7. [back_rewrite(345),rewrite([348(2),6(4),129(4),112(3)])].
% 0.75/1.08 355 product(a12,product(a8,a6)) = a5. [back_rewrite(337),rewrite([348(1),6(3),129(3),348(2),348(6),24(8),23(8)])].
% 0.75/1.08 358 product(a7,product(product(a2,a8),a6)) = product(product(a1,a8),a6). [back_rewrite(328),rewrite([348(3),348(9)])].
% 0.75/1.08 365 product(a8,a6) = a7. [back_rewrite(262),rewrite([350(3),36(5),10(4),348(4),24(6)])].
% 0.75/1.08 366 product(a7,a12) = a11. [back_rewrite(250),rewrite([348(2),6(4),129(4)])].
% 0.75/1.08 388 product(a11,product(a7,a11)) = product(a8,a11). [back_rewrite(138),rewrite([348(6)])].
% 0.75/1.08 390 product(a8,product(a7,a8)) = product(a11,a8). [back_rewrite(120),rewrite([348(1),348(3),348(7)])].
% 0.75/1.08 392 product(a5,a3) = product(a3,a7). [back_rewrite(106),rewrite([348(2),24(4)]),flip(a)].
% 0.75/1.08 403 product(product(a3,A),a8) = product(a5,product(A,a8)). [back_rewrite(39),rewrite([348(3),348(6)])].
% 0.75/1.08 404 product(a11,a7) = a8. [back_rewrite(34),rewrite([348(4)])].
% 0.75/1.08 405 a15 = a8. [back_rewrite(33),rewrite([348(1),1(3)]),flip(a)].
% 0.75/1.08 407 tuple(a1,a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a8) # answer(goal). [back_rewrite(20),rewrite([348(4),348(18),405(29)])].
% 0.75/1.08 408 product(a8,a7) = a11. [back_rewrite(15),rewrite([348(1)])].
% 0.75/1.08 409 product(a3,a8) = a5. [back_rewrite(3),rewrite([348(2)])].
% 0.75/1.08 410 product(a8,a5) = product(a8,a13). [back_rewrite(258),rewrite([405(1),409(4),350(6)])].
% 0.75/1.08 421 product(a12,a7) = product(a10,a12). [back_rewrite(131),rewrite([353(4)])].
% 0.75/1.08 423 product(a10,a12) = a5. [back_rewrite(355),rewrite([365(4),421(3)])].
% 0.75/1.08 424 product(product(a8,a13),a6) = a11. [back_rewrite(275),rewrite([365(9),408(8)])].
% 0.75/1.08 425 product(product(A,a7),product(a13,a6)) = product(product(A,a8),a6). [back_rewrite(274),rewrite([365(3)])].
% 0.75/1.08 428 product(a13,a6) = a2. [back_rewrite(133),rewrite([365(4),11(3)]),flip(a)].
% 0.75/1.08 433 product(a5,product(a7,a8)) = product(a10,a3). [back_rewrite(264),rewrite([392(3),403(5)])].
% 0.75/1.08 436 product(a10,a3) = product(a3,a5). [back_rewrite(253),rewrite([403(5),433(5),409(7)])].
% 0.75/1.08 449 a14 = a7. [back_rewrite(32),rewrite([405(1),24(3)]),flip(a)].
% 0.75/1.08 456 product(a8,a13) = product(a7,a8). [back_rewrite(127),rewrite([409(4),410(3)])].
% 0.75/1.08 462 product(a12,a7) = a5. [back_rewrite(421),rewrite([423(6)])].
% 0.75/1.08 470 product(product(A,a8),a6) = product(product(A,a2),a10). [back_rewrite(425),rewrite([428(5),183(4)]),flip(a)].
% 0.75/1.08 474 product(a8,product(a2,a3)) = product(a3,a5). [back_rewrite(242),rewrite([436(8)])].
% 0.75/1.08 475 tuple(a1,a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a7) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a7,a8) # answer(goal). [back_rewrite(407),rewrite([449(14),449(28)])].
% 0.75/1.08 482 product(a7,a5) = a6. [back_rewrite(135),rewrite([449(1),449(3),462(4),449(5),30(6)])].
% 0.75/1.08 488 a11 = a2. [back_rewrite(31),rewrite([449(1),366(3)])].
% 0.75/1.08 491 a10 = a2. [back_rewrite(424),rewrite([456(3),470(5),173(3),1(3),488(2)])].
% 0.75/1.08 493 product(a7,a8) = product(a2,a3). [back_rewrite(350),rewrite([488(1),456(6)]),flip(a)].
% 0.75/1.08 497 product(a2,a8) = product(a3,a5). [back_rewrite(390),rewrite([493(4),474(5),488(4)]),flip(a)].
% 0.75/1.08 507 a1 = a8. [back_rewrite(358),rewrite([497(4),185(6),21(4),491(3),2(4),5(3),470(6),2(4),491(3),21(4)]),flip(a)].
% 0.75/1.08 510 product(a2,a5) = a5. [back_rewrite(311),rewrite([491(2),173(3),491(1),482(7),23(6)])].
% 0.75/1.08 519 a5 = a7. [back_rewrite(177),rewrite([482(4),4(3),491(2),510(4)]),flip(a)].
% 0.75/1.08 523 tuple(a8,a2,a3,a8,a7,a6,a7,a8,a9,a2,a2,a12,a13,a7) != tuple(a2,a3,a8,a7,a6,a7,a8,a9,a2,a2,a12,a13,a7,a8) # answer(goal). [back_rewrite(475),rewrite([507(1),519(5),491(10),488(11),519(19),491(24),488(25)])].
% 0.75/1.08 531 a6 = a8. [back_rewrite(404),rewrite([488(1),30(3)])].
% 0.75/1.08 535 a9 = a2. [back_rewrite(388),rewrite([488(1),488(3),173(4),491(2),1(3),488(3),6(4)]),flip(a)].
% 0.75/1.08 539 a7 = a2. [back_rewrite(353),rewrite([507(1),488(2),6(3),535(1)]),flip(a)].
% 0.75/1.08 542 a8 = a2. [back_rewrite(172),rewrite([488(1),1(3),539(3),21(4),507(2)]),flip(a)].
% 0.75/1.08 546 a12 = a2. [back_rewrite(8),rewrite([491(1),488(2),1(3)]),flip(a)].
% 0.75/1.08 559 a2 = a3. [back_rewrite(2),rewrite([507(1),542(1),1(3)])].
% 0.75/1.08 560 tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a13,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a13,a3) # answer(goal). [back_rewrite(523),rewrite([542(1),559(1),559(2),542(4),559(4),539(5),559(5),531(6),542(6),559(6),539(7),559(7),542(8),559(8),535(9),559(9),559(10),559(11),546(12),559(12),539(14),559(14),559(16),542(18),559(18),539(19),559(19),531(20),542(20),559(20),539(21),559(21),542(22),559(22),535(23),559(23),559(24),559(25),546(26),559(26),539(28),559(28),542(29),559(29)]),flip(a)].
% 0.75/1.08 564 a13 = a3. [back_rewrite(29),rewrite([531(1),542(1),559(1),542(2),559(2),1(3)]),flip(a)].
% 0.75/1.08 577 $F # answer(goal). [back_rewrite(560),rewrite([564(12),564(28)]),xx(a)].
% 0.75/1.08
% 0.75/1.08 % SZS output end Refutation
% 0.75/1.08 ============================== end of proof ==========================
% 0.75/1.08
% 0.75/1.08 ============================== STATISTICS ============================
% 0.75/1.08
% 0.75/1.08 Given=94. Generated=1505. Kept=575. proofs=1.
% 0.75/1.08 Usable=4. Sos=9. Demods=26. Limbo=13, Disabled=568. Hints=0.
% 0.75/1.08 Megabytes=0.39.
% 0.75/1.08 User_CPU=0.06, System_CPU=0.01, Wall_clock=0.
% 0.75/1.08
% 0.75/1.08 ============================== end of statistics =====================
% 0.75/1.08
% 0.75/1.08 ============================== end of search =========================
% 0.75/1.08
% 0.75/1.08 THEOREM PROVED
% 0.75/1.08 % SZS status Unsatisfiable
% 0.75/1.08
% 0.75/1.08 Exiting with 1 proof.
% 0.75/1.08
% 0.75/1.08 Process 23538 exit (max_proofs) Sun May 29 14:36:25 2022
% 0.75/1.08 Prover9 interrupted
%------------------------------------------------------------------------------