TSTP Solution File: HWV033-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV033-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 19:14:59 EDT 2022
% Result : Unsatisfiable 7.71s 7.89s
% Output : Refutation 8.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : HWV033-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jun 17 06:58:34 EDT 2022
% 0.17/0.32 % CPUTime :
% 7.71/7.89
% 7.71/7.89 SPASS V 3.9
% 7.71/7.89 SPASS beiseite: Proof found.
% 7.71/7.89 % SZS status Theorem
% 7.71/7.89 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.71/7.89 SPASS derived 14826 clauses, backtracked 2237 clauses, performed 47 splits and kept 8453 clauses.
% 7.71/7.89 SPASS allocated 88300 KBytes.
% 7.71/7.89 SPASS spent 0:00:07.55 on the problem.
% 7.71/7.89 0:00:00.04 for the input.
% 7.71/7.89 0:00:00.00 for the FLOTTER CNF translation.
% 7.71/7.89 0:00:00.17 for inferences.
% 7.71/7.89 0:00:00.15 for the backtracking.
% 7.71/7.89 0:00:07.13 for the reduction.
% 7.71/7.89
% 7.71/7.89
% 7.71/7.89 Here is a proof with depth 9, length 323 :
% 7.71/7.89 % SZS output start Refutation
% 7.71/7.89 1[0:Inp] || gt(rd_level(t_139),minus(fifo_length,n1))*r -> .
% 7.71/7.89 2[0:Inp] || -> gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1))*l.
% 7.71/7.89 3[0:Inp] || -> gt(fifo_length,n0)*r.
% 7.71/7.89 4[0:Inp] || equal(plus(u,n1),n0)** -> .
% 7.71/7.89 5[0:Inp] || -> gt(plus(u,n1),n0)*l.
% 7.71/7.89 6[0:Inp] || gt(u,n0) -> gt(u,minus(u,n1))*r.
% 7.71/7.89 7[0:Inp] || equal(minus(u,v),w)*+ -> def_10(v,u) equal(plus(w,v),u)*.
% 7.71/7.89 8[0:Inp] || equal(plus(u,v),w)*+ -> def_10(v,w) equal(minus(w,v),u)*.
% 7.71/7.89 9[0:Inp] || gt(u,v) def_10(v,u)* -> .
% 7.71/7.89 10[0:Inp] || equal(u,v) def_10(v,u)* -> .
% 7.71/7.89 11[0:Inp] || gt(u,v) -> gt(plus(u,n1),plus(v,n1))*.
% 7.71/7.89 12[0:Inp] || gt(plus(u,n1),plus(v,n1))* -> gt(u,v).
% 7.71/7.89 13[0:Inp] || gt(plus(u,n1),v)* -> equal(v,u) gt(u,v).
% 7.71/7.89 15[0:Inp] || -> gt(u,v)* equal(u,v) gt(v,u)*.
% 7.71/7.89 16[0:Inp] || gt(u,v)* gt(v,w)* -> gt(u,w)*.
% 7.71/7.89 17[0:Inp] || gt(u,v)*+ -> gt(u,plus(v,n1))* equal(plus(v,n1),u).
% 7.71/7.89 18[0:Inp] || -> gt(u,n0)* equal(u,n0).
% 7.71/7.89 19[0:Inp] || -> equal(u,n0) equal(plus(y_27(u),n1),u)**.
% 7.71/7.89 20[0:Inp] || gt(u,u)* -> .
% 7.71/7.89 21[0:Inp] || equal(plus(u,n1),plus(v,n1))* -> equal(u,v).
% 7.71/7.89 22[0:Inp] || -> equal(plus(n0,u),u)**.
% 7.71/7.89 24[0:Inp] || -> equal(int_level(u),level(u))**.
% 7.71/7.89 27[0:Inp] || equal(int_level(u),n0)** -> p_Empty(u).
% 7.71/7.89 31[0:Inp] p_Reset(u) || -> equal(rd_level(plus(u,n1)),n0)**.
% 7.71/7.89 36[0:Inp] p_Wr(u) || -> p_Reset(u) p_Rd(u) equal(rd_level(plus(u,n1)),rd_level(u))**.
% 7.71/7.89 59[0:Inp] p_Wr(u) p_Rd(u) || gt(int_level(u),n0) gt(minus(fifo_length,n1),rd_level(u)) -> p_Reset(u) equal(plus(rd_level(u),n1),rd_level(plus(u,n1)))**.
% 7.71/7.89 60[0:Inp] p_Wr(u) p_Rd(u) || gt(int_level(u),n0) -> p_Reset(u) gt(minus(fifo_length,n1),rd_level(u)) equal(rd_level(plus(u,n1)),n0)**.
% 7.71/7.89 63[0:Inp] p_Wr(u) p_Rd(u) || -> p_Reset(u) gt(int_level(u),n0) equal(rd_level(plus(u,n1)),rd_level(u))**.
% 7.71/7.89 74[0:Inp] p_Rd(u) || gt(int_level(u),n0) -> p_Reset(u) p_Wr(u) equal(int_level(plus(u,n1)),minus(int_level(u),n1))**.
% 7.71/7.89 77[0:Inp] p_Rd(u) || gt(int_level(u),n0) gt(minus(fifo_length,n1),rd_level(u)) -> p_Reset(u) p_Wr(u) equal(plus(rd_level(u),n1),rd_level(plus(u,n1)))**.
% 7.71/7.89 78[0:Inp] p_Rd(u) || gt(int_level(u),n0) -> p_Reset(u) p_Wr(u) gt(minus(fifo_length,n1),rd_level(u)) equal(rd_level(plus(u,n1)),n0)**.
% 7.71/7.89 80[0:Inp] p_Rd(u) || -> p_Reset(u) p_Wr(u) gt(int_level(u),n0) equal(rd_level(plus(u,n1)),rd_level(u))**.
% 7.71/7.89 84[0:Inp] || -> p_Reset(u) p_Wr(u) p_Rd(u) equal(rd_level(plus(u,n1)),rd_level(u))**.
% 7.71/7.89 95[0:Rew:24.0,27.0] || equal(level(u),n0)** -> p_Empty(u).
% 7.71/7.89 105[0:MRR:36.0,84.1] || -> p_Rd(u) p_Reset(u) equal(rd_level(plus(u,n1)),rd_level(u))**.
% 7.71/7.89 127[0:Rew:24.0,80.3] p_Rd(u) || -> p_Reset(u) p_Wr(u) gt(level(u),n0) equal(rd_level(plus(u,n1)),rd_level(u))**.
% 7.71/7.89 128[0:MRR:127.0,105.1] || -> p_Reset(u) p_Wr(u) gt(level(u),n0) equal(rd_level(plus(u,n1)),rd_level(u))**.
% 7.71/7.89 131[0:Rew:24.0,63.3] p_Wr(u) p_Rd(u) || -> p_Reset(u) gt(level(u),n0) equal(rd_level(plus(u,n1)),rd_level(u))**.
% 7.71/7.89 132[0:MRR:131.0,131.1,128.1,105.1] || -> p_Reset(u) gt(level(u),n0) equal(rd_level(plus(u,n1)),rd_level(u))**.
% 7.71/7.89 145[0:Rew:24.0,74.4,24.0,74.4,24.0,74.1] p_Rd(u) || gt(level(u),n0) -> p_Wr(u) p_Reset(u) equal(minus(level(u),n1),level(plus(u,n1)))**.
% 7.71/7.89 167[0:Rew:24.0,78.1] p_Rd(u) || gt(level(u),n0) -> p_Reset(u) p_Wr(u) gt(minus(fifo_length,n1),rd_level(u)) equal(rd_level(plus(u,n1)),n0)**.
% 7.71/7.89 168[0:MRR:167.2,31.0] p_Rd(u) || gt(level(u),n0) -> p_Wr(u) gt(minus(fifo_length,n1),rd_level(u)) equal(rd_level(plus(u,n1)),n0)**.
% 7.71/7.89 169[0:Rew:24.0,60.2] p_Wr(u) p_Rd(u) || gt(level(u),n0) -> p_Reset(u) gt(minus(fifo_length,n1),rd_level(u)) equal(rd_level(plus(u,n1)),n0)**.
% 7.71/7.89 170[0:MRR:169.0,169.3,168.2,31.0] p_Rd(u) || gt(level(u),n0) -> equal(rd_level(plus(u,n1)),n0)** gt(minus(fifo_length,n1),rd_level(u)).
% 7.71/7.89 173[0:Rew:24.0,77.1] p_Rd(u) || gt(level(u),n0) gt(minus(fifo_length,n1),rd_level(u)) -> p_Reset(u) p_Wr(u) equal(plus(rd_level(u),n1),rd_level(plus(u,n1)))**.
% 7.71/7.89 174[0:Rew:24.0,59.2] p_Wr(u) p_Rd(u) || gt(level(u),n0) gt(minus(fifo_length,n1),rd_level(u)) -> p_Reset(u) equal(plus(rd_level(u),n1),rd_level(plus(u,n1)))**.
% 7.71/7.89 175[0:MRR:174.0,173.4] p_Rd(u) || gt(level(u),n0) gt(minus(fifo_length,n1),rd_level(u)) -> p_Reset(u) equal(plus(rd_level(u),n1),rd_level(plus(u,n1)))**.
% 7.71/7.89 176[0:Res:3.0,6.0] || -> gt(fifo_length,minus(fifo_length,n1))*r.
% 7.71/7.89 178[0:Res:3.0,17.0] || -> equal(plus(n0,n1),fifo_length) gt(fifo_length,plus(n0,n1))*r.
% 7.71/7.89 180[0:Res:15.2,1.0] || -> equal(minus(fifo_length,n1),rd_level(t_139)) gt(minus(fifo_length,n1),rd_level(t_139))*l.
% 7.71/7.89 184[0:Res:2.0,9.1] || def_10(minus(fifo_length,n1),rd_level(plus(t_139,n1)))* -> .
% 7.71/7.89 185[0:Res:2.0,17.0] || -> gt(rd_level(plus(t_139,n1)),plus(minus(fifo_length,n1),n1))*r equal(plus(minus(fifo_length,n1),n1),rd_level(plus(t_139,n1))).
% 7.71/7.89 188[0:Rew:22.0,178.1,22.0,178.0] || -> gt(fifo_length,n1)*r equal(n1,fifo_length).
% 7.71/7.89 189[1:Spt:188.1] || -> equal(n1,fifo_length)**.
% 7.71/7.89 204[1:Rew:189.0,170.2] p_Rd(u) || gt(level(u),n0) -> equal(rd_level(plus(u,fifo_length)),n0)** gt(minus(fifo_length,n1),rd_level(u)).
% 7.71/7.89 205[1:Rew:189.0,31.1] p_Reset(u) || -> equal(rd_level(plus(u,fifo_length)),n0)**.
% 7.71/7.89 206[1:Rew:189.0,132.2] || -> p_Reset(u) gt(level(u),n0) equal(rd_level(plus(u,fifo_length)),rd_level(u))**.
% 7.71/7.89 207[1:Rew:189.0,105.2] || -> p_Rd(u) p_Reset(u) equal(rd_level(plus(u,fifo_length)),rd_level(u))**.
% 7.71/7.89 225[1:Rew:189.0,13.0] || gt(plus(u,fifo_length),v)* -> equal(v,u) gt(u,v).
% 7.71/7.89 237[1:Rew:189.0,176.0] || -> gt(fifo_length,minus(fifo_length,fifo_length))*r.
% 7.71/7.89 238[1:Rew:189.0,1.0] || gt(rd_level(t_139),minus(fifo_length,fifo_length))*r -> .
% 7.71/7.89 241[1:Rew:189.0,2.0] || -> gt(rd_level(plus(t_139,fifo_length)),minus(fifo_length,fifo_length))*l.
% 7.71/7.89 260[1:Rew:189.0,204.3] p_Rd(u) || gt(level(u),n0) -> equal(rd_level(plus(u,fifo_length)),n0)** gt(minus(fifo_length,fifo_length),rd_level(u)).
% 7.71/7.89 278[0:NCh:16.2,16.1,20.0,3.0] || gt(n0,fifo_length)*l -> .
% 7.71/7.89 279[0:NCh:16.2,16.1,20.0,3.0] || equal(n0,fifo_length)** -> .
% 7.71/7.89 316[0:NCh:16.2,16.1,18.0,20.0] || gt(n0,u)* -> equal(u,n0).
% 7.71/7.89 447[1:SpR:207.2,241.0] || -> p_Rd(t_139) p_Reset(t_139) gt(rd_level(t_139),minus(fifo_length,fifo_length))*r.
% 7.71/7.89 448[1:SpR:205.1,241.0] p_Reset(t_139) || -> gt(n0,minus(fifo_length,fifo_length))*r.
% 7.71/7.89 449[1:MRR:447.2,238.0] || -> p_Rd(t_139) p_Reset(t_139)*.
% 7.71/7.89 450[2:Spt:449.1] || -> p_Reset(t_139)*.
% 7.71/7.89 452[2:MRR:448.0,450.0] || -> gt(n0,minus(fifo_length,fifo_length))*r.
% 7.71/7.89 455[2:OCh:16.1,16.0,452.0,18.0] || -> equal(minus(fifo_length,fifo_length),n0)** gt(n0,n0).
% 7.71/7.89 457[2:NCh:16.2,16.1,452.0,20.0] || equal(minus(fifo_length,fifo_length),n0)** -> .
% 7.71/7.89 460[2:MRR:455.1,20.0] || -> equal(minus(fifo_length,fifo_length),n0)**.
% 7.71/7.89 461[2:MRR:460.0,457.0] || -> .
% 7.71/7.89 462[2:Spt:461.0,449.1,450.0] || p_Reset(t_139)* -> .
% 7.71/7.89 463[2:Spt:461.0,449.0] || -> p_Rd(t_139)*.
% 7.71/7.89 528[0:EqR:8.0] || -> def_10(u,plus(v,u)) equal(minus(plus(v,u),u),v)**.
% 7.71/7.89 529[0:SpL:22.0,8.0] || equal(u,v) -> def_10(u,v) equal(minus(v,u),n0)**.
% 7.71/7.89 531[0:MRR:529.1,10.1] || equal(u,v) -> equal(minus(v,u),n0)**.
% 7.71/7.89 537[1:SpL:531.1,238.0] || equal(fifo_length,fifo_length) gt(rd_level(t_139),n0)*l -> .
% 7.71/7.89 542[1:Obv:537.0] || gt(rd_level(t_139),n0)*l -> .
% 7.71/7.89 545[1:Res:18.0,542.0] || -> equal(rd_level(t_139),n0)**.
% 7.71/7.89 548[1:Rew:545.0,238.0] || gt(n0,minus(fifo_length,fifo_length))*r -> .
% 7.71/7.89 554[1:MRR:448.1,548.0] p_Reset(t_139) || -> .
% 7.71/7.89 575[0:EqR:7.0] || -> def_10(u,v) equal(plus(minus(v,u),u),v)**.
% 7.71/7.89 576[0:SpL:531.1,7.0] || equal(u,v) equal(n0,w) -> def_10(u,v)* equal(plus(w,u),v)*.
% 7.71/7.89 580[0:MRR:576.2,10.1] || equal(u,v) equal(n0,w) -> equal(plus(w,u),v)*.
% 7.71/7.89 799[1:SpR:206.2,241.0] || -> p_Reset(t_139) gt(level(t_139),n0) gt(rd_level(t_139),minus(fifo_length,fifo_length))*r.
% 7.71/7.89 813[1:Rew:545.0,799.2] || -> p_Reset(t_139) gt(level(t_139),n0) gt(n0,minus(fifo_length,fifo_length))*r.
% 7.71/7.89 814[1:MRR:813.0,813.2,554.0,548.0] || -> gt(level(t_139),n0)*l.
% 7.71/7.89 824[0:SpR:580.2,580.2] || equal(u,v)* equal(n0,w)* equal(u,x)* equal(n0,w)* -> equal(v,x)*.
% 7.71/7.89 963[0:Obv:824.1] || equal(u,v)* equal(u,w)* equal(n0,x)* -> equal(v,w)*.
% 7.71/7.89 964[0:AED:4.0,963.2] || equal(u,v)*+ equal(u,w)* -> equal(v,w)*.
% 7.71/7.89 1493[1:SpL:22.0,225.0] || gt(fifo_length,u)* -> equal(u,n0) gt(n0,u)*.
% 7.71/7.89 1526[1:MRR:1493.2,316.0] || gt(fifo_length,u)*+ -> equal(u,n0)*.
% 7.71/7.89 1532[1:Res:237.0,1526.0] || -> equal(minus(fifo_length,fifo_length),n0)**.
% 7.71/7.89 1559[1:Rew:1532.0,241.0] || -> gt(rd_level(plus(t_139,fifo_length)),n0)*l.
% 7.71/7.89 1570[1:Rew:1532.0,260.3] p_Rd(u) || gt(level(u),n0) -> equal(rd_level(plus(u,fifo_length)),n0)** gt(n0,rd_level(u)).
% 7.71/7.89 2772[1:SpR:1570.2,1559.0] p_Rd(t_139) || gt(level(t_139),n0)*l -> gt(n0,rd_level(t_139)) gt(n0,n0).
% 7.71/7.89 2832[1:Rew:545.0,2772.2] p_Rd(t_139) || gt(level(t_139),n0)*l -> gt(n0,n0) gt(n0,n0).
% 7.71/7.89 2833[1:Obv:2832.2] p_Rd(t_139) || gt(level(t_139),n0)*l -> gt(n0,n0).
% 7.71/7.89 2834[2:SSi:2833.0,463.0] || gt(level(t_139),n0)*l -> gt(n0,n0).
% 7.71/7.89 2835[2:MRR:2834.1,20.0] || gt(level(t_139),n0)*l -> .
% 7.71/7.89 2836[2:MRR:2835.0,814.0] || -> .
% 7.71/7.89 2838[1:Spt:2836.0,188.1,189.0] || equal(n1,fifo_length)** -> .
% 7.71/7.89 2839[1:Spt:2836.0,188.0] || -> gt(fifo_length,n1)*r.
% 7.71/7.89 2845[2:Spt:180.0] || -> equal(minus(fifo_length,n1),rd_level(t_139))**.
% 7.71/7.89 2849[2:Rew:2845.0,2.0] || -> gt(rd_level(plus(t_139,n1)),rd_level(t_139))*l.
% 7.71/7.89 2856[2:Rew:2845.0,170.3] p_Rd(u) || gt(level(u),n0) -> equal(rd_level(plus(u,n1)),n0)** gt(rd_level(t_139),rd_level(u)).
% 7.71/7.89 2859[2:SpR:2845.0,575.1] || -> def_10(n1,fifo_length) equal(plus(rd_level(t_139),n1),fifo_length)**.
% 7.71/7.89 2861[2:SpL:2845.0,7.0] || equal(rd_level(t_139),u) -> def_10(n1,fifo_length) equal(plus(u,n1),fifo_length)**.
% 7.71/7.89 2863[0:SpL:575.1,4.0] || equal(u,n0) -> def_10(n1,u)*.
% 7.71/7.89 2864[0:SpL:580.2,4.0] || equal(n1,u) equal(n0,v)* equal(u,n0)* -> .
% 7.71/7.89 2866[0:AED:4.0,2864.1] || equal(n1,u) equal(u,n0)* -> .
% 7.71/7.89 2871[0:Res:2863.1,9.1] || equal(u,n0)* gt(u,n1)*+ -> .
% 7.71/7.89 2914[3:Spt:2859.0] || -> def_10(n1,fifo_length)*.
% 7.71/7.89 2915[3:Res:2914.0,9.1] || gt(fifo_length,n1)*r -> .
% 7.71/7.89 2917[3:MRR:2915.0,2839.0] || -> .
% 7.71/7.89 2918[3:Spt:2917.0,2859.0,2914.0] || def_10(n1,fifo_length)* -> .
% 7.71/7.89 2919[3:Spt:2917.0,2859.1] || -> equal(plus(rd_level(t_139),n1),fifo_length)**.
% 7.71/7.89 2921[3:MRR:2861.1,2918.0] || equal(rd_level(t_139),u) -> equal(plus(u,n1),fifo_length)**.
% 7.71/7.89 2942[0:SpR:19.1,528.1] || -> equal(u,n0) def_10(n1,plus(y_27(u),n1))* equal(minus(u,n1),y_27(u)).
% 7.71/7.89 2956[0:Rew:19.1,2942.1] || -> equal(u,n0) def_10(n1,u) equal(minus(u,n1),y_27(u))**.
% 7.71/7.89 2957[0:MRR:2956.0,2863.0] || -> def_10(n1,u) equal(minus(u,n1),y_27(u))**.
% 7.71/7.89 2983[0:SpR:22.0,5.0] || -> gt(n1,n0)*r.
% 7.71/7.89 2994[0:NCh:16.2,16.1,2983.0,20.0] || gt(n0,n1)*l -> .
% 7.71/7.89 3005[0:SpR:2957.1,575.1] || -> def_10(n1,u) def_10(n1,u) equal(plus(y_27(u),n1),u)**.
% 7.71/7.89 3013[0:Obv:3005.0] || -> def_10(n1,u) equal(plus(y_27(u),n1),u)**.
% 7.71/7.89 3070[0:SpL:19.1,21.0] || equal(u,plus(v,n1))*+ -> equal(u,n0) equal(y_27(u),v)*.
% 7.71/7.89 3092[3:SpR:2921.1,22.0] || equal(rd_level(t_139),n0)** -> equal(n1,fifo_length).
% 7.71/7.89 3119[3:MRR:3092.1,2838.0] || equal(rd_level(t_139),n0)** -> .
% 7.71/7.89 3215[2:SpR:105.2,2849.0] || -> p_Rd(t_139) p_Reset(t_139) gt(rd_level(t_139),rd_level(t_139))*.
% 7.71/7.89 3216[2:SpR:31.1,2849.0] p_Reset(t_139) || -> gt(n0,rd_level(t_139))*r.
% 7.71/7.89 3219[2:MRR:3215.2,20.0] || -> p_Rd(t_139) p_Reset(t_139)*.
% 7.71/7.89 3220[4:Spt:3219.1] || -> p_Reset(t_139)*.
% 7.71/7.89 3222[4:MRR:3216.0,3220.0] || -> gt(n0,rd_level(t_139))*r.
% 7.71/7.89 3224[4:OCh:16.1,16.0,3222.0,18.0] || -> equal(rd_level(t_139),n0)** gt(n0,n0).
% 7.71/7.89 3234[4:MRR:3224.0,3224.1,3119.0,20.0] || -> .
% 7.71/7.89 3235[4:Spt:3234.0,3219.1,3220.0] || p_Reset(t_139)* -> .
% 7.71/7.89 3236[4:Spt:3234.0,3219.0] || -> p_Rd(t_139)*.
% 7.71/7.89 3401[2:SpR:132.2,2849.0] || -> p_Reset(t_139) gt(level(t_139),n0)*l gt(rd_level(t_139),rd_level(t_139)).
% 7.71/7.89 3416[4:MRR:3401.0,3401.2,3235.0,20.0] || -> gt(level(t_139),n0)*l.
% 7.71/7.89 3631[1:NCh:16.2,16.1,2871.1,2839.0] || equal(u,n0)* equal(u,fifo_length) -> .
% 7.71/7.89 3788[0:EqR:3070.0] || -> equal(plus(u,n1),n0) equal(y_27(plus(u,n1)),u)**.
% 7.71/7.89 3795[0:SpL:19.1,3070.0] || equal(u,v) -> equal(v,n0) equal(u,n0) equal(y_27(u),y_27(v))*.
% 7.71/7.89 3797[0:MRR:3788.0,4.0] || -> equal(y_27(plus(u,n1)),u)**.
% 7.71/7.89 3798[0:MRR:3795.1,964.1] || equal(u,v) -> equal(u,n0) equal(y_27(u),y_27(v))*.
% 7.71/7.89 3925[0:SpR:22.0,11.1] || gt(n0,u) -> gt(n1,plus(u,n1))*r.
% 7.71/7.89 3931[0:SpR:19.1,11.1] || gt(y_27(u),v)*+ -> equal(u,n0) gt(u,plus(v,n1))*.
% 7.71/7.89 3967[0:SpL:22.0,12.0] || gt(plus(u,n1),n1)*l -> gt(u,n0).
% 7.71/7.89 4278[0:SpL:22.0,13.0] || gt(n1,u)* -> equal(u,n0) gt(n0,u)*.
% 7.71/7.89 4314[0:MRR:4278.2,316.0] || gt(n1,u)*+ -> equal(u,n0)*.
% 7.71/7.89 4319[0:Res:15.0,4314.0] || -> equal(n1,u) gt(u,n1)* equal(u,n0)*.
% 7.71/7.89 4320[0:Res:6.1,4314.0] || gt(n1,n0) -> equal(minus(n1,n1),n0)**.
% 7.71/7.89 4344[0:NCh:16.2,16.1,4314.0,11.1] || equal(plus(u,n1),n1)** gt(u,v)* -> equal(plus(v,n1),n0)**.
% 7.71/7.89 4345[0:MRR:4320.0,2983.0] || -> equal(minus(n1,n1),n0)**.
% 7.71/7.89 4346[0:MRR:4344.2,4.0] || equal(plus(u,n1),n1)** gt(u,v)*+ -> .
% 7.71/7.89 4495[0:Res:5.0,17.0] || -> gt(plus(u,n1),plus(n0,n1))* equal(plus(n0,n1),plus(u,n1)).
% 7.71/7.89 4545[0:Rew:22.0,4495.1,22.0,4495.0] || -> gt(plus(u,n1),n1)*l equal(plus(u,n1),n1).
% 7.71/7.89 5837[1:Res:2839.0,17.0] || -> gt(fifo_length,plus(n1,n1))*r equal(plus(n1,n1),fifo_length).
% 7.71/7.89 7611[2:SpR:2856.2,2849.0] p_Rd(t_139) || gt(level(t_139),n0)*l -> gt(rd_level(t_139),rd_level(t_139)) gt(n0,rd_level(t_139)).
% 7.71/7.89 7828[4:SSi:7611.0,3236.0] || gt(level(t_139),n0)*l -> gt(rd_level(t_139),rd_level(t_139)) gt(n0,rd_level(t_139)).
% 7.71/7.89 7829[4:MRR:7828.1,20.0] || gt(level(t_139),n0)*l -> gt(n0,rd_level(t_139)).
% 7.71/7.89 7830[4:MRR:7829.0,3416.0] || -> gt(n0,rd_level(t_139))*r.
% 7.71/7.89 7949[4:Res:7830.0,17.0] || -> gt(n0,plus(rd_level(t_139),n1))*r equal(plus(rd_level(t_139),n1),n0).
% 7.71/7.89 7953[4:OCh:16.1,16.0,7830.0,4319.1] || -> equal(rd_level(t_139),n1) equal(rd_level(t_139),n0)** gt(n0,n1).
% 7.71/7.89 7968[4:MRR:7953.1,7953.2,3119.0,2994.0] || -> equal(rd_level(t_139),n1)**.
% 7.71/7.89 7975[4:Rew:7968.0,2919.0] || -> equal(plus(n1,n1),fifo_length)**.
% 7.71/7.89 8362[4:Rew:7975.0,7949.1,7968.0,7949.1,7975.0,7949.0,7968.0,7949.0] || -> gt(n0,fifo_length)*l equal(n0,fifo_length).
% 7.71/7.89 8363[4:MRR:8362.0,8362.1,278.0,279.0] || -> .
% 7.71/7.89 8405[2:Spt:8363.0,180.0,2845.0] || equal(minus(fifo_length,n1),rd_level(t_139))** -> .
% 7.71/7.89 8406[2:Spt:8363.0,180.1] || -> gt(minus(fifo_length,n1),rd_level(t_139))*l.
% 7.71/7.89 8419[2:SpR:2957.1,8406.0] || -> def_10(n1,fifo_length)* gt(y_27(fifo_length),rd_level(t_139)).
% 7.71/7.89 8460[0:SpR:132.2,2.0] || -> p_Reset(t_139) gt(level(t_139),n0) gt(rd_level(t_139),minus(fifo_length,n1))*r.
% 7.71/7.89 8461[0:SpR:105.2,2.0] || -> p_Rd(t_139) p_Reset(t_139) gt(rd_level(t_139),minus(fifo_length,n1))*r.
% 7.71/7.89 8462[0:SpR:31.1,2.0] p_Reset(t_139) || -> gt(n0,minus(fifo_length,n1))*r.
% 7.71/7.89 8472[0:MRR:8461.2,1.0] || -> p_Rd(t_139) p_Reset(t_139)*.
% 7.71/7.89 8473[0:MRR:8460.2,1.0] || -> p_Reset(t_139) gt(level(t_139),n0)*l.
% 7.71/7.89 8520[3:Spt:8472.0] || -> p_Rd(t_139)*.
% 7.71/7.89 8603[0:SpL:2957.1,184.0] || def_10(y_27(fifo_length),rd_level(plus(t_139,n1)))* -> def_10(n1,fifo_length).
% 7.71/7.89 8819[4:Spt:8473.0] || -> p_Reset(t_139)*.
% 7.71/7.89 8821[4:MRR:8462.0,8819.0] || -> gt(n0,minus(fifo_length,n1))*r.
% 7.71/7.89 8911[4:Res:8821.0,316.0] || -> equal(minus(fifo_length,n1),n0)**.
% 7.71/7.89 8920[4:NCh:16.2,16.1,8821.0,17.0] || equal(u,n0) -> gt(u,plus(minus(fifo_length,n1),n1))* equal(plus(minus(fifo_length,n1),n1),u).
% 7.71/7.89 9221[4:Rew:8911.0,8920.2,8911.0,8920.1] || equal(u,n0) -> gt(u,plus(n0,n1))* equal(plus(n0,n1),u).
% 7.71/7.89 9222[4:Rew:22.0,9221.2,22.0,9221.1] || equal(u,n0)* -> gt(u,n1) equal(n1,u).
% 7.71/7.89 9223[4:MRR:9222.1,9222.2,2871.1,2866.0] || equal(u,n0)* -> .
% 7.71/7.89 9224[4:UnC:9223.0,4345.0] || -> .
% 7.71/7.89 9252[4:Spt:9224.0,8473.0,8819.0] || p_Reset(t_139)* -> .
% 7.71/7.89 9253[4:Spt:9224.0,8473.1] || -> gt(level(t_139),n0)*l.
% 7.71/7.89 9256[4:Res:9253.0,17.0] || -> gt(level(t_139),plus(n0,n1))*r equal(plus(n0,n1),level(t_139)).
% 7.71/7.89 9266[4:Rew:22.0,9256.1,22.0,9256.0] || -> gt(level(t_139),n1)*l equal(level(t_139),n1).
% 7.71/7.89 9321[0:SpL:3798.2,8603.0] || equal(fifo_length,u) def_10(y_27(u),rd_level(plus(t_139,n1)))* -> equal(n0,fifo_length) def_10(n1,fifo_length).
% 7.71/7.89 9324[0:MRR:9321.2,279.0] || equal(fifo_length,u) def_10(y_27(u),rd_level(plus(t_139,n1)))* -> def_10(n1,fifo_length).
% 7.71/7.89 9404[5:Spt:8419.0] || -> def_10(n1,fifo_length)*.
% 7.71/7.89 9405[5:Res:9404.0,9.1] || gt(fifo_length,n1)*r -> .
% 7.71/7.89 9407[5:MRR:9405.0,2839.0] || -> .
% 7.71/7.89 9408[5:Spt:9407.0,8419.0,9404.0] || def_10(n1,fifo_length)* -> .
% 7.71/7.89 9409[5:Spt:9407.0,8419.1] || -> gt(y_27(fifo_length),rd_level(t_139))*l.
% 7.71/7.89 9415[5:MRR:9324.2,9408.0] || equal(fifo_length,u) def_10(y_27(u),rd_level(plus(t_139,n1)))* -> .
% 7.71/7.89 9581[5:SpL:3797.0,9415.1] || equal(plus(u,n1),fifo_length) def_10(u,rd_level(plus(t_139,n1)))* -> .
% 7.71/7.89 9614[6:Spt:9266.1] || -> equal(level(t_139),n1)**.
% 7.71/7.89 9626[6:SpR:9614.0,145.4] p_Rd(t_139) || gt(level(t_139),n0) -> p_Wr(t_139) p_Reset(t_139) equal(level(plus(t_139,n1)),minus(n1,n1))**.
% 7.71/7.89 9631[6:Rew:4345.0,9626.4,9614.0,9626.1] p_Rd(t_139) || gt(n1,n0) -> p_Wr(t_139) p_Reset(t_139) equal(level(plus(t_139,n1)),n0)**.
% 7.71/7.89 9632[6:SSi:9631.0,8520.0] || gt(n1,n0) -> p_Wr(t_139) p_Reset(t_139) equal(level(plus(t_139,n1)),n0)**.
% 7.71/7.89 9633[6:MRR:9632.0,9632.2,2983.0,9252.0] || -> p_Wr(t_139) equal(level(plus(t_139,n1)),n0)**.
% 7.71/7.89 9671[6:SpL:9633.1,95.0] || equal(n0,n0) -> p_Wr(t_139) p_Empty(plus(t_139,n1))*.
% 7.71/7.89 9674[6:Obv:9671.0] || -> p_Wr(t_139) p_Empty(plus(t_139,n1))*.
% 7.71/7.89 9683[7:Spt:9674.0] || -> p_Wr(t_139)*.
% 7.71/7.89 9804[5:Res:2863.1,9581.1] || equal(rd_level(plus(t_139,n1)),n0)** equal(plus(n1,n1),fifo_length) -> .
% 7.71/7.89 9812[5:SpL:31.1,9804.0] p_Reset(t_139) || equal(n0,n0) equal(plus(n1,n1),fifo_length)** -> .
% 7.71/7.89 9813[5:Obv:9812.1] p_Reset(t_139) || equal(plus(n1,n1),fifo_length)** -> .
% 7.71/7.89 10359[8:Spt:5837.1] || -> equal(plus(n1,n1),fifo_length)**.
% 7.71/7.89 10362[8:Rew:10359.0,9813.1] p_Reset(t_139) || equal(fifo_length,fifo_length)* -> .
% 7.71/7.89 10383[8:Obv:10362.1] p_Reset(t_139) || -> .
% 7.71/7.89 10426[8:SpR:10359.0,3797.0] || -> equal(y_27(fifo_length),n1)**.
% 7.71/7.89 10473[8:Rew:10426.0,9409.0] || -> gt(n1,rd_level(t_139))*r.
% 7.71/7.89 10929[8:Res:10473.0,4314.0] || -> equal(rd_level(t_139),n0)**.
% 7.71/7.89 10944[8:Rew:10929.0,8405.0] || equal(minus(fifo_length,n1),n0)** -> .
% 7.71/7.89 10947[8:Rew:10929.0,8406.0] || -> gt(minus(fifo_length,n1),n0)*l.
% 7.71/7.89 11021[8:SpR:10929.0,175.4] p_Rd(t_139) || gt(level(t_139),n0) gt(minus(fifo_length,n1),rd_level(t_139)) -> p_Reset(t_139) equal(rd_level(plus(t_139,n1)),plus(n0,n1))**.
% 7.71/7.89 11023[8:Rew:22.0,11021.4,10929.0,11021.2,9614.0,11021.1] p_Rd(t_139) || gt(n1,n0) gt(minus(fifo_length,n1),n0) -> p_Reset(t_139) equal(rd_level(plus(t_139,n1)),n1)**.
% 7.71/7.89 11024[8:SSi:11023.0,8520.0,9683.0] || gt(n1,n0) gt(minus(fifo_length,n1),n0) -> p_Reset(t_139) equal(rd_level(plus(t_139,n1)),n1)**.
% 7.71/7.89 11025[8:MRR:11024.0,11024.2,2983.0,10383.0] || gt(minus(fifo_length,n1),n0) -> equal(rd_level(plus(t_139,n1)),n1)**.
% 7.71/7.90 11026[8:MRR:11025.0,10947.0] || -> equal(rd_level(plus(t_139,n1)),n1)**.
% 7.71/7.90 11028[8:Rew:11026.0,2.0] || -> gt(n1,minus(fifo_length,n1))*r.
% 7.71/7.90 11119[8:OCh:16.1,16.0,11028.0,4319.1] || -> equal(minus(fifo_length,n1),n1) equal(minus(fifo_length,n1),n0)** gt(n1,n1).
% 7.71/7.90 11122[8:NCh:16.2,16.1,11028.0,20.0] || equal(minus(fifo_length,n1),n1)** -> .
% 7.71/7.90 11137[8:MRR:11119.1,11119.2,10944.0,20.0] || -> equal(minus(fifo_length,n1),n1)**.
% 7.71/7.90 11138[8:MRR:11137.0,11122.0] || -> .
% 7.71/7.90 11139[8:Spt:11138.0,5837.1,10359.0] || equal(plus(n1,n1),fifo_length)** -> .
% 7.71/7.90 11140[8:Spt:11138.0,5837.0] || -> gt(fifo_length,plus(n1,n1))*r.
% 7.71/7.90 11160[8:NCh:16.2,16.1,11140.0,12.0] || equal(plus(u,n1),fifo_length)** -> gt(u,n1).
% 7.71/7.90 11646[8:SpL:19.1,11160.0] || equal(u,fifo_length) -> equal(u,n0) gt(y_27(u),n1)*l.
% 7.71/7.90 11654[8:MRR:11646.1,3631.0] || equal(u,fifo_length) -> gt(y_27(u),n1)*l.
% 7.71/7.90 11701[8:SpR:580.2,11654.1] || equal(u,y_27(v))* equal(n0,w) equal(v,fifo_length) -> gt(plus(w,u),n1)*l.
% 7.71/7.90 12329[0:SpR:105.2,2.0] || -> p_Rd(t_139) p_Reset(t_139) gt(rd_level(t_139),minus(fifo_length,n1))*r.
% 7.71/7.90 12586[0:Res:3925.1,4314.0] || gt(n0,u) -> equal(plus(u,n1),n0)**.
% 7.71/7.90 12608[0:MRR:12586.1,4.0] || gt(n0,u)* -> .
% 7.71/7.90 12609[0:MRR:8462.1,12608.0] p_Reset(t_139) || -> .
% 7.71/7.90 12985[0:SpL:580.2,3967.0] || equal(u,plus(v,n1))* equal(n0,w) gt(plus(w,u),n1)*l -> gt(v,n0).
% 7.71/7.90 12991[0:Res:4545.0,3967.0] || -> equal(plus(u,n1),n1)** gt(u,n0).
% 7.71/7.90 13093[0:Rew:12991.0,12985.0] || equal(u,n1) equal(n0,v) gt(plus(v,u),n1)*l -> gt(w,n0)*.
% 7.71/7.90 16301[5:Res:9409.0,4346.1] || equal(plus(y_27(fifo_length),n1),n1)** -> .
% 7.71/7.90 16427[5:SpL:12991.0,16301.0] || equal(n1,n1) -> gt(y_27(fifo_length),n0)*l.
% 7.71/7.90 16436[5:Obv:16427.0] || -> gt(y_27(fifo_length),n0)*l.
% 7.71/7.90 16453[5:Res:9409.0,3931.0] || -> equal(n0,fifo_length) gt(fifo_length,plus(rd_level(t_139),n1))*r.
% 7.71/7.90 16493[5:MRR:16453.0,279.0] || -> gt(fifo_length,plus(rd_level(t_139),n1))*r.
% 7.71/7.90 16592[5:Res:16436.0,17.0] || -> gt(y_27(fifo_length),plus(n0,n1))*r equal(plus(n0,n1),y_27(fifo_length)).
% 7.71/7.90 16617[5:Rew:22.0,16592.1,22.0,16592.0] || -> gt(y_27(fifo_length),n1)*l equal(y_27(fifo_length),n1).
% 7.71/7.90 16775[5:SpR:175.4,16493.0] p_Rd(t_139) || gt(level(t_139),n0) gt(minus(fifo_length,n1),rd_level(t_139)) -> p_Reset(t_139) gt(fifo_length,rd_level(plus(t_139,n1)))*r.
% 7.71/7.90 16787[5:NCh:16.2,16.1,16493.0,20.0] || gt(plus(rd_level(t_139),n1),fifo_length)*l -> .
% 7.71/7.90 16788[5:NCh:16.2,16.1,16493.0,20.0] || equal(plus(rd_level(t_139),n1),fifo_length)** -> .
% 7.71/7.90 16811[6:Rew:9614.0,16775.1] p_Rd(t_139) || gt(n1,n0) gt(minus(fifo_length,n1),rd_level(t_139)) -> p_Reset(t_139) gt(fifo_length,rd_level(plus(t_139,n1)))*r.
% 7.71/7.90 16812[7:SSi:16811.0,8520.0,9683.0] || gt(n1,n0) gt(minus(fifo_length,n1),rd_level(t_139)) -> p_Reset(t_139) gt(fifo_length,rd_level(plus(t_139,n1)))*r.
% 7.71/7.90 16813[7:MRR:16812.0,16812.1,16812.2,2983.0,8406.0,12609.0] || -> gt(fifo_length,rd_level(plus(t_139,n1)))*r.
% 7.71/7.90 16819[5:SpL:175.4,16788.0] p_Rd(t_139) || gt(level(t_139),n0) gt(minus(fifo_length,n1),rd_level(t_139)) equal(rd_level(plus(t_139,n1)),fifo_length)** -> p_Reset(t_139).
% 7.71/7.90 16821[6:Rew:9614.0,16819.1] p_Rd(t_139) || gt(n1,n0) gt(minus(fifo_length,n1),rd_level(t_139)) equal(rd_level(plus(t_139,n1)),fifo_length)** -> p_Reset(t_139).
% 7.71/7.90 16822[7:SSi:16821.0,8520.0,9683.0] || gt(n1,n0) gt(minus(fifo_length,n1),rd_level(t_139)) equal(rd_level(plus(t_139,n1)),fifo_length)** -> p_Reset(t_139).
% 7.71/7.90 16823[7:MRR:16822.0,16822.1,16822.3,2983.0,8406.0,12609.0] || equal(rd_level(plus(t_139,n1)),fifo_length)** -> .
% 7.71/7.90 16953[7:NCh:16.2,16.1,16813.0,20.0] || gt(rd_level(plus(t_139,n1)),fifo_length)*l -> .
% 7.71/7.90 17106[5:SpL:175.4,16787.0] p_Rd(t_139) || gt(level(t_139),n0) gt(minus(fifo_length,n1),rd_level(t_139)) gt(rd_level(plus(t_139,n1)),fifo_length)*l -> p_Reset(t_139).
% 7.71/7.90 17149[9:Spt:16617.1] || -> equal(y_27(fifo_length),n1)**.
% 7.71/7.90 17258[9:SpR:17149.0,3798.2] || equal(fifo_length,u) -> equal(n0,fifo_length) equal(y_27(u),n1)**.
% 7.71/7.90 17318[9:MRR:17258.1,279.0] || equal(fifo_length,u) -> equal(y_27(u),n1)**.
% 7.71/7.90 17339[9:Rew:17318.1,11701.0] || equal(u,n1) equal(n0,v) equal(w,fifo_length)* -> gt(plus(v,u),n1)*l.
% 7.71/7.90 17517[9:AED:4.0,17339.2] || equal(u,n1) equal(n0,v) -> gt(plus(v,u),n1)*l.
% 7.71/7.90 17518[9:MRR:13093.2,17517.2] || equal(u,n1)* equal(n0,v)* -> gt(w,n0)*.
% 7.71/7.90 17519[9:AED:4.0,17518.1] || -> gt(u,n0)*.
% 7.71/7.90 17520[9:UnC:17519.0,12608.0] || -> .
% 7.71/7.90 17557[9:Spt:17520.0,16617.1,17149.0] || equal(y_27(fifo_length),n1)** -> .
% 7.71/7.90 17558[9:Spt:17520.0,16617.0] || -> gt(y_27(fifo_length),n1)*l.
% 7.71/7.90 18313[10:Spt:185.1] || -> equal(plus(minus(fifo_length,n1),n1),rd_level(plus(t_139,n1)))**.
% 7.71/7.90 18385[10:SpR:2957.1,18313.0] || -> def_10(n1,fifo_length) equal(plus(y_27(fifo_length),n1),rd_level(plus(t_139,n1)))**.
% 7.71/7.90 18448[10:Rew:3013.1,18385.1] || -> def_10(n1,fifo_length) equal(rd_level(plus(t_139,n1)),fifo_length)**.
% 7.71/7.90 18449[10:MRR:18448.0,18448.1,9408.0,16823.0] || -> .
% 7.71/7.90 18455[10:Spt:18449.0,185.1,18313.0] || equal(plus(minus(fifo_length,n1),n1),rd_level(plus(t_139,n1)))** -> .
% 7.71/7.90 18456[10:Spt:18449.0,185.0] || -> gt(rd_level(plus(t_139,n1)),plus(minus(fifo_length,n1),n1))*r.
% 7.71/7.90 18458[10:SpR:2957.1,18456.0] || -> def_10(n1,fifo_length) gt(rd_level(plus(t_139,n1)),plus(y_27(fifo_length),n1))*r.
% 7.71/7.90 18506[10:Rew:3013.1,18458.1] || -> def_10(n1,fifo_length) gt(rd_level(plus(t_139,n1)),fifo_length)*l.
% 7.71/7.90 18507[10:MRR:18506.0,18506.1,9408.0,16953.0] || -> .
% 7.71/7.90 18512[7:Spt:18507.0,9674.0,9683.0] || p_Wr(t_139)* -> .
% 7.71/7.90 18513[7:Spt:18507.0,9674.1] || -> p_Empty(plus(t_139,n1))*.
% 7.71/7.90 18557[6:SSi:16821.0,8520.0] || gt(n1,n0) gt(minus(fifo_length,n1),rd_level(t_139)) equal(rd_level(plus(t_139,n1)),fifo_length)** -> p_Reset(t_139).
% 7.71/7.90 18558[6:MRR:18557.0,18557.1,18557.3,2983.0,8406.0,12609.0] || equal(rd_level(plus(t_139,n1)),fifo_length)** -> .
% 7.71/7.90 18561[6:Rew:9614.0,17106.1] p_Rd(t_139) || gt(n1,n0) gt(minus(fifo_length,n1),rd_level(t_139)) gt(rd_level(plus(t_139,n1)),fifo_length)*l -> p_Reset(t_139).
% 7.71/7.90 18562[6:SSi:18561.0,8520.0] || gt(n1,n0) gt(minus(fifo_length,n1),rd_level(t_139)) gt(rd_level(plus(t_139,n1)),fifo_length)*l -> p_Reset(t_139).
% 7.71/7.90 18563[6:MRR:18562.0,18562.1,18562.3,2983.0,8406.0,12609.0] || gt(rd_level(plus(t_139,n1)),fifo_length)*l -> .
% 7.71/7.90 18586[8:Spt:185.0] || -> gt(rd_level(plus(t_139,n1)),plus(minus(fifo_length,n1),n1))*r.
% 8.11/8.29 18588[8:SpR:2957.1,18586.0] || -> def_10(n1,fifo_length) gt(rd_level(plus(t_139,n1)),plus(y_27(fifo_length),n1))*r.
% 8.11/8.29 18638[8:Rew:3013.1,18588.1] || -> def_10(n1,fifo_length) gt(rd_level(plus(t_139,n1)),fifo_length)*l.
% 8.11/8.29 18639[8:MRR:18638.0,9408.0] || -> gt(rd_level(plus(t_139,n1)),fifo_length)*l.
% 8.11/8.29 18640[8:MRR:18639.0,18563.0] || -> .
% 8.11/8.29 18645[8:Spt:18640.0,185.0,18586.0] || gt(rd_level(plus(t_139,n1)),plus(minus(fifo_length,n1),n1))*r -> .
% 8.11/8.29 18646[8:Spt:18640.0,185.1] || -> equal(plus(minus(fifo_length,n1),n1),rd_level(plus(t_139,n1)))**.
% 8.11/8.29 18719[8:SpR:2957.1,18646.0] || -> def_10(n1,fifo_length) equal(plus(y_27(fifo_length),n1),rd_level(plus(t_139,n1)))**.
% 8.11/8.29 18775[8:Rew:3013.1,18719.1] || -> def_10(n1,fifo_length) equal(rd_level(plus(t_139,n1)),fifo_length)**.
% 8.11/8.29 18776[8:MRR:18775.0,9408.0] || -> equal(rd_level(plus(t_139,n1)),fifo_length)**.
% 8.11/8.29 18777[8:MRR:18776.0,18558.0] || -> .
% 8.11/8.29 18783[6:Spt:18777.0,9266.1,9614.0] || equal(level(t_139),n1)** -> .
% 8.11/8.29 18784[6:Spt:18777.0,9266.0] || -> gt(level(t_139),n1)*l.
% 8.11/8.29 18827[5:SSi:16819.0,8520.0] || gt(level(t_139),n0) gt(minus(fifo_length,n1),rd_level(t_139)) equal(rd_level(plus(t_139,n1)),fifo_length)** -> p_Reset(t_139).
% 8.11/8.29 18828[5:MRR:18827.1,18827.3,8406.0,12609.0] || gt(level(t_139),n0) equal(rd_level(plus(t_139,n1)),fifo_length)** -> .
% 8.11/8.29 18829[5:MRR:18828.0,9253.0] || equal(rd_level(plus(t_139,n1)),fifo_length)** -> .
% 8.11/8.29 18835[5:SSi:17106.0,8520.0] || gt(level(t_139),n0) gt(minus(fifo_length,n1),rd_level(t_139)) gt(rd_level(plus(t_139,n1)),fifo_length)*l -> p_Reset(t_139).
% 8.11/8.29 18836[5:MRR:18835.1,18835.3,8406.0,12609.0] || gt(level(t_139),n0) gt(rd_level(plus(t_139,n1)),fifo_length)*l -> .
% 8.11/8.29 18837[5:MRR:18836.0,9253.0] || gt(rd_level(plus(t_139,n1)),fifo_length)*l -> .
% 8.11/8.29 18874[7:Spt:185.0] || -> gt(rd_level(plus(t_139,n1)),plus(minus(fifo_length,n1),n1))*r.
% 8.11/8.29 18876[7:SpR:2957.1,18874.0] || -> def_10(n1,fifo_length) gt(rd_level(plus(t_139,n1)),plus(y_27(fifo_length),n1))*r.
% 8.11/8.29 18921[7:Rew:3013.1,18876.1] || -> def_10(n1,fifo_length) gt(rd_level(plus(t_139,n1)),fifo_length)*l.
% 8.11/8.29 18922[7:MRR:18921.0,9408.0] || -> gt(rd_level(plus(t_139,n1)),fifo_length)*l.
% 8.11/8.29 18923[7:MRR:18922.0,18837.0] || -> .
% 8.11/8.29 18928[7:Spt:18923.0,185.0,18874.0] || gt(rd_level(plus(t_139,n1)),plus(minus(fifo_length,n1),n1))*r -> .
% 8.11/8.29 18929[7:Spt:18923.0,185.1] || -> equal(plus(minus(fifo_length,n1),n1),rd_level(plus(t_139,n1)))**.
% 8.11/8.29 19000[7:SpR:2957.1,18929.0] || -> def_10(n1,fifo_length) equal(plus(y_27(fifo_length),n1),rd_level(plus(t_139,n1)))**.
% 8.11/8.29 19054[7:Rew:3013.1,19000.1] || -> def_10(n1,fifo_length) equal(rd_level(plus(t_139,n1)),fifo_length)**.
% 8.11/8.29 19055[7:MRR:19054.0,9408.0] || -> equal(rd_level(plus(t_139,n1)),fifo_length)**.
% 8.11/8.29 19056[7:MRR:19055.0,18829.0] || -> .
% 8.11/8.29 19062[3:Spt:19056.0,8472.0,8520.0] || p_Rd(t_139)* -> .
% 8.11/8.29 19063[3:Spt:19056.0,8472.1] || -> p_Reset(t_139)*.
% 8.11/8.29 19083[0:MRR:12329.1,12329.2,12609.0,1.0] || -> p_Rd(t_139)*.
% 8.11/8.29 19084[3:MRR:19083.0,19062.0] || -> .
% 8.11/8.29 % SZS output end Refutation
% 8.11/8.29 Formulae used in the proof : quest_1 quest_2 quest_3 axiom_1 axiom_2 axiom_3 axiom_4 axiom_5 axiom_6 axiom_7 axiom_8 axiom_9 axiom_10 axiom_12 axiom_13 axiom_14 axiom_15 axiom_16 axiom_17 axiom_18 axiom_19 axiom_21 axiom_24 axiom_28 axiom_33 axiom_56 axiom_57 axiom_60 axiom_71 axiom_74 axiom_75 axiom_77 axiom_81
% 8.11/8.29
%------------------------------------------------------------------------------