TSTP Solution File: HWV031-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV031-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 19:14:58 EDT 2022
% Result : Unsatisfiable 4.71s 4.88s
% Output : Refutation 5.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV031-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 02:33:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.71/4.88
% 4.71/4.88 SPASS V 3.9
% 4.71/4.88 SPASS beiseite: Proof found.
% 4.71/4.88 % SZS status Theorem
% 4.71/4.88 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.71/4.88 SPASS derived 15910 clauses, backtracked 2441 clauses, performed 54 splits and kept 7736 clauses.
% 4.71/4.88 SPASS allocated 88636 KBytes.
% 4.71/4.88 SPASS spent 0:00:04.51 on the problem.
% 4.71/4.88 0:00:00.04 for the input.
% 4.71/4.88 0:00:00.00 for the FLOTTER CNF translation.
% 4.71/4.88 0:00:00.19 for inferences.
% 4.71/4.88 0:00:00.12 for the backtracking.
% 4.71/4.88 0:00:04.09 for the reduction.
% 4.71/4.88
% 4.71/4.88
% 4.71/4.88 Here is a proof with depth 8, length 236 :
% 4.71/4.88 % SZS output start Refutation
% 4.71/4.88 1[0:Inp] || gt(plus(wr_level(x_139),n1),fifo_length)*l -> .
% 4.71/4.88 2[0:Inp] || -> gt(plus(wr_level(plus(x_139,n1)),n1),fifo_length)*l.
% 4.71/4.88 3[0:Inp] || -> gt(fifo_length,n0)*r.
% 4.71/4.88 4[0:Inp] || equal(plus(u,n1),n0)** -> .
% 4.71/4.88 5[0:Inp] || -> gt(plus(u,n1),n0)*l.
% 4.71/4.88 6[0:Inp] || gt(u,n0) -> gt(u,minus(u,n1))*r.
% 4.71/4.88 7[0:Inp] || equal(minus(u,v),w)*+ -> def_10(v,u) equal(plus(w,v),u)*.
% 4.71/4.88 9[0:Inp] || gt(u,v) def_10(v,u)* -> .
% 4.71/4.88 11[0:Inp] || gt(u,v) -> gt(plus(u,n1),plus(v,n1))*.
% 4.71/4.88 12[0:Inp] || gt(plus(u,n1),plus(v,n1))* -> gt(u,v).
% 4.71/4.88 13[0:Inp] || gt(plus(u,n1),v)* -> equal(v,u) gt(u,v).
% 4.71/4.88 15[0:Inp] || -> gt(u,v)* equal(u,v) gt(v,u)*.
% 4.71/4.88 16[0:Inp] || gt(u,v)* gt(v,w)* -> gt(u,w)*.
% 4.71/4.88 17[0:Inp] || gt(u,v)*+ -> gt(u,plus(v,n1))* equal(plus(v,n1),u).
% 4.71/4.88 18[0:Inp] || -> gt(u,n0)* equal(u,n0).
% 4.71/4.88 19[0:Inp] || -> equal(u,n0) equal(plus(y_27(u),n1),u)**.
% 4.71/4.88 20[0:Inp] || gt(u,u)* -> .
% 4.71/4.88 21[0:Inp] || equal(plus(u,n1),plus(v,n1))* -> equal(u,v).
% 4.71/4.88 22[0:Inp] || -> equal(plus(n0,u),u)**.
% 4.71/4.88 24[0:Inp] || -> equal(int_level(u),level(u))**.
% 4.71/4.88 27[0:Inp] || equal(int_level(u),n0)** -> p_Empty(u).
% 4.71/4.88 30[0:Inp] p_Reset(u) || -> equal(wr_level(plus(u,n1)),n0)**.
% 4.71/4.88 43[0:Inp] p_Wr(u) || gt(fifo_length,int_level(u)) gt(minus(fifo_length,n1),wr_level(u)) -> p_Reset(u) p_Rd(u) equal(plus(wr_level(u),n1),wr_level(plus(u,n1)))**.
% 4.71/4.88 44[0:Inp] p_Wr(u) || gt(fifo_length,int_level(u)) -> p_Reset(u) p_Rd(u) gt(minus(fifo_length,n1),wr_level(u)) equal(wr_level(plus(u,n1)),n0)**.
% 4.71/4.88 46[0:Inp] p_Wr(u) || -> p_Reset(u) p_Rd(u) gt(fifo_length,int_level(u)) equal(wr_level(plus(u,n1)),wr_level(u))**.
% 4.71/4.88 70[0:Inp] p_Rd(u) p_Wr(u) || gt(minus(fifo_length,n1),wr_level(u)) -> p_Reset(u) equal(plus(wr_level(u),n1),wr_level(plus(u,n1)))**.
% 4.71/4.88 71[0:Inp] p_Wr(u) p_Rd(u) || -> p_Reset(u) gt(minus(fifo_length,n1),wr_level(u)) equal(wr_level(plus(u,n1)),n0)**.
% 4.71/4.88 72[0:Inp] || -> p_Wr(u) p_Reset(u) equal(wr_level(plus(u,n1)),wr_level(u))**.
% 4.71/4.88 95[0:Rew:24.0,27.0] || equal(level(u),n0)** -> p_Empty(u).
% 4.71/4.88 119[0:Rew:24.0,46.3] p_Wr(u) || -> p_Reset(u) p_Rd(u) gt(fifo_length,level(u)) equal(wr_level(plus(u,n1)),wr_level(u))**.
% 4.71/4.88 120[0:MRR:119.0,72.1] || -> p_Rd(u) p_Reset(u) gt(fifo_length,level(u)) equal(wr_level(plus(u,n1)),wr_level(u))**.
% 4.71/4.88 134[0:MRR:71.2,30.0] p_Rd(u) p_Wr(u) || -> equal(wr_level(plus(u,n1)),n0)** gt(minus(fifo_length,n1),wr_level(u)).
% 4.71/4.88 165[0:Rew:24.0,44.1] p_Wr(u) || gt(fifo_length,level(u)) -> p_Reset(u) p_Rd(u) gt(minus(fifo_length,n1),wr_level(u)) equal(wr_level(plus(u,n1)),n0)**.
% 4.71/4.88 166[0:MRR:165.2,165.3,30.0,134.1] p_Wr(u) || gt(fifo_length,level(u)) -> equal(wr_level(plus(u,n1)),n0)** gt(minus(fifo_length,n1),wr_level(u)).
% 4.71/4.88 171[0:Rew:24.0,43.1] p_Wr(u) || gt(fifo_length,level(u)) gt(minus(fifo_length,n1),wr_level(u)) -> p_Reset(u) p_Rd(u) equal(plus(wr_level(u),n1),wr_level(plus(u,n1)))**.
% 4.71/4.88 172[0:MRR:171.4,70.1] p_Wr(u) || gt(fifo_length,level(u)) gt(minus(fifo_length,n1),wr_level(u)) -> p_Reset(u) equal(plus(wr_level(u),n1),wr_level(plus(u,n1)))**.
% 4.71/4.88 176[0:Res:3.0,6.0] || -> gt(fifo_length,minus(fifo_length,n1))*r.
% 4.71/4.88 178[0:Res:3.0,17.0] || -> equal(plus(n0,n1),fifo_length) gt(fifo_length,plus(n0,n1))*r.
% 4.71/4.88 180[0:Res:15.2,1.0] || -> gt(fifo_length,plus(wr_level(x_139),n1))*r equal(plus(wr_level(x_139),n1),fifo_length).
% 4.71/4.88 185[0:Res:2.0,13.0] || -> equal(wr_level(plus(x_139,n1)),fifo_length) gt(wr_level(plus(x_139,n1)),fifo_length)*l.
% 4.71/4.88 189[0:Rew:22.0,178.1,22.0,178.0] || -> gt(fifo_length,n1)*l equal(fifo_length,n1).
% 4.71/4.88 190[1:Spt:189.1] || -> equal(fifo_length,n1)**.
% 4.71/4.88 194[1:Rew:190.0,166.1] p_Wr(u) || gt(n1,level(u)) -> equal(wr_level(plus(u,n1)),n0)** gt(minus(fifo_length,n1),wr_level(u)).
% 4.71/4.88 199[1:Rew:190.0,120.2] || -> p_Rd(u) p_Reset(u) gt(n1,level(u)) equal(wr_level(plus(u,n1)),wr_level(u))**.
% 4.71/4.88 203[1:Rew:190.0,134.3] p_Rd(u) p_Wr(u) || -> equal(wr_level(plus(u,n1)),n0)** gt(minus(n1,n1),wr_level(u)).
% 4.71/4.88 211[1:Rew:190.0,3.0] || -> gt(n1,n0)*r.
% 4.71/4.88 213[1:Rew:190.0,176.0] || -> gt(n1,minus(n1,n1))*r.
% 4.71/4.88 214[1:Rew:190.0,1.0] || gt(plus(wr_level(x_139),n1),n1)*l -> .
% 4.71/4.88 215[1:Rew:190.0,2.0] || -> gt(plus(wr_level(plus(x_139,n1)),n1),n1)*l.
% 4.71/4.88 221[1:Rew:190.0,194.3] p_Wr(u) || gt(n1,level(u)) -> equal(wr_level(plus(u,n1)),n0)** gt(minus(n1,n1),wr_level(u)).
% 4.71/4.88 276[0:NCh:16.2,16.1,18.0,20.0] || gt(n0,u)* -> equal(u,n0).
% 4.71/4.88 323[0:SpL:19.1,21.0] || equal(u,plus(v,n1))*+ -> equal(u,n0) equal(y_27(u),v)*.
% 4.71/4.88 419[1:SpR:72.2,215.0] || -> p_Wr(x_139) p_Reset(x_139) gt(plus(wr_level(x_139),n1),n1)*l.
% 4.71/4.88 420[1:SpR:30.1,215.0] p_Reset(x_139) || -> gt(plus(n0,n1),n1)*l.
% 4.71/4.88 421[1:Rew:22.0,420.1] p_Reset(x_139) || -> gt(n1,n1)*.
% 4.71/4.88 422[1:MRR:421.1,20.0] p_Reset(x_139) || -> .
% 4.71/4.88 424[1:MRR:419.2,214.0] || -> p_Wr(x_139) p_Reset(x_139)*.
% 4.71/4.88 425[1:MRR:424.1,422.0] || -> p_Wr(x_139)*.
% 4.71/4.88 438[0:EqR:323.0] || -> equal(plus(u,n1),n0) equal(y_27(plus(u,n1)),u)**.
% 4.71/4.88 441[0:MRR:438.0,4.0] || -> equal(y_27(plus(u,n1)),u)**.
% 4.71/4.88 447[0:SpR:22.0,441.0] || -> equal(y_27(n1),n0)**.
% 4.71/4.88 494[0:EqR:7.0] || -> def_10(u,v) equal(plus(minus(v,u),u),v)**.
% 4.71/4.88 513[0:SpR:494.1,5.0] || -> def_10(n1,u)* gt(u,n0).
% 4.71/4.88 514[0:SpR:494.1,441.0] || -> def_10(n1,u) equal(minus(u,n1),y_27(u))**.
% 4.71/4.88 519[0:SpL:494.1,4.0] || equal(u,n0) -> def_10(n1,u)*.
% 4.71/4.88 551[0:Res:519.1,9.1] || equal(u,n0)* gt(u,n1)*+ -> .
% 4.71/4.88 955[0:NCh:16.2,16.1,6.1,20.0] || gt(u,n0) equal(minus(u,n1),u)** -> .
% 4.71/4.88 1197[0:SpL:514.1,955.1] || gt(u,n0) equal(y_27(u),u) -> def_10(n1,u)*.
% 4.71/4.88 1201[0:MRR:1197.0,513.1] || equal(y_27(u),u) -> def_10(n1,u)*.
% 4.71/4.88 1203[0:Res:1201.1,9.1] || equal(y_27(u),u)** gt(u,n1) -> .
% 4.71/4.88 1228[1:SpR:199.3,215.0] || -> p_Rd(x_139) p_Reset(x_139) gt(n1,level(x_139)) gt(plus(wr_level(x_139),n1),n1)*l.
% 4.71/4.88 1243[1:MRR:1228.1,1228.3,422.0,214.0] || -> p_Rd(x_139) gt(n1,level(x_139))*r.
% 4.71/4.88 1454[0:SpL:22.0,13.0] || gt(n1,u)* -> equal(u,n0) gt(n0,u)*.
% 4.71/4.88 1492[0:MRR:1454.2,276.0] || gt(n1,u)*+ -> equal(u,n0)*.
% 4.71/4.88 1498[1:Res:213.0,1492.0] || -> equal(minus(n1,n1),n0)**.
% 4.71/4.88 1499[1:Res:1243.1,1492.0] || -> p_Rd(x_139) equal(level(x_139),n0)**.
% 4.71/4.88 1500[0:Res:15.2,1492.0] || -> gt(u,n1)* equal(u,n1) equal(u,n0)*.
% 4.71/4.88 1529[1:Rew:1498.0,221.3] p_Wr(u) || gt(n1,level(u)) -> equal(wr_level(plus(u,n1)),n0)** gt(n0,wr_level(u)).
% 4.71/4.88 1531[1:Rew:1498.0,203.3] p_Rd(u) p_Wr(u) || -> equal(wr_level(plus(u,n1)),n0)** gt(n0,wr_level(u)).
% 4.71/4.88 1566[1:SpL:1499.1,95.0] || equal(n0,n0) -> p_Rd(x_139)* p_Empty(x_139).
% 4.71/4.88 1568[1:Obv:1566.0] || -> p_Rd(x_139)* p_Empty(x_139).
% 4.71/4.88 1569[2:Spt:1568.0] || -> p_Rd(x_139)*.
% 4.71/4.88 1570[1:SpR:1531.2,215.0] p_Rd(x_139) p_Wr(x_139) || -> gt(n0,wr_level(x_139)) gt(plus(n0,n1),n1)*l.
% 4.71/4.88 1588[1:Rew:22.0,1570.3] p_Rd(x_139) p_Wr(x_139) || -> gt(n0,wr_level(x_139))*r gt(n1,n1).
% 4.71/4.88 1589[2:SSi:1588.1,1588.0,425.0,1569.0,425.0,1569.0] || -> gt(n0,wr_level(x_139))*r gt(n1,n1).
% 4.71/4.88 1590[2:MRR:1589.1,20.0] || -> gt(n0,wr_level(x_139))*r.
% 4.71/4.88 1593[2:Res:1590.0,276.0] || -> equal(wr_level(x_139),n0)**.
% 4.71/4.88 1604[2:Rew:1593.0,1590.0] || -> gt(n0,n0)*.
% 4.71/4.88 1615[2:MRR:1604.0,20.0] || -> .
% 4.71/4.88 1630[2:Spt:1615.0,1568.0,1569.0] || p_Rd(x_139)* -> .
% 4.71/4.88 1631[2:Spt:1615.0,1568.1] || -> p_Empty(x_139)*.
% 4.71/4.88 1633[2:MRR:1499.0,1630.0] || -> equal(level(x_139),n0)**.
% 4.71/4.88 1675[1:Res:1500.0,214.0] || -> equal(plus(wr_level(x_139),n1),n1) equal(plus(wr_level(x_139),n1),n0)**.
% 4.71/4.88 1704[1:MRR:1675.1,4.0] || -> equal(plus(wr_level(x_139),n1),n1)**.
% 4.71/4.88 1737[1:SpR:1704.0,441.0] || -> equal(y_27(n1),wr_level(x_139))**.
% 4.71/4.88 1778[1:Rew:447.0,1737.0] || -> equal(wr_level(x_139),n0)**.
% 4.71/4.88 8769[1:SpR:1529.2,215.0] p_Wr(x_139) || gt(n1,level(x_139)) -> gt(n0,wr_level(x_139)) gt(plus(n0,n1),n1)*l.
% 4.71/4.88 8802[2:Rew:22.0,8769.3,1778.0,8769.2,1633.0,8769.1] p_Wr(x_139) || gt(n1,n0)*r -> gt(n0,n0) gt(n1,n1).
% 4.71/4.88 8803[2:SSi:8802.0,425.0,1631.0] || gt(n1,n0)*r -> gt(n0,n0) gt(n1,n1).
% 4.71/4.88 8804[2:MRR:8803.0,8803.1,8803.2,211.0,20.0,20.0] || -> .
% 4.71/4.88 8807[1:Spt:8804.0,189.1,190.0] || equal(fifo_length,n1)** -> .
% 4.71/4.88 8808[1:Spt:8804.0,189.0] || -> gt(fifo_length,n1)*l.
% 4.71/4.88 8842[1:Res:8808.0,17.0] || -> gt(fifo_length,plus(n1,n1))*r equal(plus(n1,n1),fifo_length).
% 4.71/4.88 8844[1:Res:8808.0,551.1] || equal(n0,fifo_length)** -> .
% 4.71/4.88 8855[2:Spt:185.0] || -> equal(wr_level(plus(x_139,n1)),fifo_length)**.
% 4.71/4.88 8857[2:Rew:8855.0,2.0] || -> gt(plus(fifo_length,n1),fifo_length)*l.
% 4.71/4.88 8861[2:SpR:8855.0,30.1] p_Reset(x_139) || -> equal(n0,fifo_length)**.
% 4.71/4.88 8862[2:SpR:8855.0,72.2] || -> p_Wr(x_139) p_Reset(x_139) equal(wr_level(x_139),fifo_length)**.
% 4.71/4.88 8867[2:MRR:8861.1,8844.0] p_Reset(x_139) || -> .
% 4.71/4.88 8868[2:MRR:8862.1,8867.0] || -> p_Wr(x_139) equal(wr_level(x_139),fifo_length)**.
% 4.71/4.88 8913[3:Spt:8868.0] || -> p_Wr(x_139)*.
% 4.71/4.88 8920[0:NCh:16.2,16.1,3.0,20.0] || gt(n0,fifo_length)*l -> .
% 4.71/4.88 8948[2:NCh:16.2,16.0,8857.0,12.0] || equal(plus(u,n1),fifo_length)** -> gt(fifo_length,u).
% 4.71/4.88 8983[0:NCh:16.2,16.0,1.0,11.1] || equal(plus(u,n1),fifo_length)** gt(wr_level(x_139),u) -> .
% 4.71/4.88 9068[0:NCh:16.2,16.1,176.0,20.0] || gt(minus(fifo_length,n1),fifo_length)*l -> .
% 4.71/4.88 9069[0:NCh:16.2,16.1,176.0,20.0] || equal(minus(fifo_length,n1),fifo_length)** -> .
% 4.71/4.88 9084[2:SpR:120.3,8855.0] || -> p_Rd(x_139) p_Reset(x_139) gt(fifo_length,level(x_139))*r equal(wr_level(x_139),fifo_length).
% 4.71/4.88 9093[2:MRR:9084.1,8867.0] || -> p_Rd(x_139) gt(fifo_length,level(x_139))*r equal(wr_level(x_139),fifo_length).
% 4.71/4.88 9182[0:SpL:514.1,9068.0] || gt(y_27(fifo_length),fifo_length) -> def_10(n1,fifo_length)*.
% 4.71/4.88 9218[0:Res:9182.1,9.1] || gt(y_27(fifo_length),fifo_length)*l gt(fifo_length,n1) -> .
% 4.71/4.88 9220[1:MRR:9218.1,8808.0] || gt(y_27(fifo_length),fifo_length)*l -> .
% 4.71/4.88 9224[1:Res:15.2,9220.0] || -> gt(fifo_length,y_27(fifo_length))*r equal(y_27(fifo_length),fifo_length).
% 4.71/4.88 9240[2:SpR:134.2,8855.0] p_Rd(x_139) p_Wr(x_139) || -> gt(minus(fifo_length,n1),wr_level(x_139))*l equal(n0,fifo_length).
% 4.71/4.88 9249[3:SSi:9240.1,8913.0] p_Rd(x_139) || -> gt(minus(fifo_length,n1),wr_level(x_139))*l equal(n0,fifo_length).
% 4.71/4.88 9250[3:MRR:9249.2,8844.0] p_Rd(x_139) || -> gt(minus(fifo_length,n1),wr_level(x_139))*l.
% 4.71/4.88 9252[4:Spt:9224.1] || -> equal(y_27(fifo_length),fifo_length)**.
% 4.71/4.88 9274[4:SpL:9252.0,1203.0] || equal(fifo_length,fifo_length) gt(fifo_length,n1)*l -> .
% 4.71/4.88 9296[4:Obv:9274.0] || gt(fifo_length,n1)*l -> .
% 4.71/4.88 9297[4:MRR:9296.0,8808.0] || -> .
% 4.71/4.88 9305[4:Spt:9297.0,9224.1,9252.0] || equal(y_27(fifo_length),fifo_length)** -> .
% 4.71/4.88 9306[4:Spt:9297.0,9224.0] || -> gt(fifo_length,y_27(fifo_length))*r.
% 4.71/4.88 14074[5:Spt:8842.1] || -> equal(plus(n1,n1),fifo_length)**.
% 4.71/4.88 14093[5:SpR:14074.0,441.0] || -> equal(y_27(fifo_length),n1)**.
% 4.71/4.88 18731[2:SpR:166.2,8855.0] p_Wr(x_139) || gt(fifo_length,level(x_139)) -> gt(minus(fifo_length,n1),wr_level(x_139))*l equal(n0,fifo_length).
% 4.71/4.88 18745[3:SSi:18731.0,8913.0] || gt(fifo_length,level(x_139)) -> gt(minus(fifo_length,n1),wr_level(x_139))*l equal(n0,fifo_length).
% 4.71/4.88 18746[3:MRR:18745.2,8844.0] || gt(fifo_length,level(x_139)) -> gt(minus(fifo_length,n1),wr_level(x_139))*l.
% 4.71/4.88 18964[6:Spt:9093.2] || -> equal(wr_level(x_139),fifo_length)**.
% 4.71/4.88 18972[6:Rew:18964.0,8983.1] || equal(plus(u,n1),fifo_length)** gt(fifo_length,u) -> .
% 4.71/4.88 18977[6:MRR:18972.1,8948.1] || equal(plus(u,n1),fifo_length)** -> .
% 4.71/4.88 18978[6:UnC:18977.0,14074.0] || -> .
% 4.71/4.88 18984[6:Spt:18978.0,9093.2,18964.0] || equal(wr_level(x_139),fifo_length)** -> .
% 4.71/4.88 18985[6:Spt:18978.0,9093.0,9093.1] || -> p_Rd(x_139) gt(fifo_length,level(x_139))*r.
% 4.71/4.88 18986[7:Spt:18985.0] || -> p_Rd(x_139)*.
% 4.71/4.88 18987[7:MRR:9250.0,18986.0] || -> gt(minus(fifo_length,n1),wr_level(x_139))*l.
% 4.71/4.88 18992[7:SpR:514.1,18987.0] || -> def_10(n1,fifo_length)* gt(y_27(fifo_length),wr_level(x_139)).
% 4.71/4.88 19006[7:Rew:14093.0,18992.1] || -> def_10(n1,fifo_length)* gt(n1,wr_level(x_139)).
% 4.71/4.88 19181[7:Res:19006.0,9.1] || gt(fifo_length,n1) -> gt(n1,wr_level(x_139))*r.
% 4.71/4.88 19183[7:MRR:19181.0,8808.0] || -> gt(n1,wr_level(x_139))*r.
% 4.71/4.88 19186[7:Res:19183.0,1492.0] || -> equal(wr_level(x_139),n0)**.
% 4.71/4.88 19201[7:Rew:19186.0,18987.0] || -> gt(minus(fifo_length,n1),n0)*l.
% 4.71/4.88 19266[7:SpR:19186.0,70.4] p_Rd(x_139) p_Wr(x_139) || gt(minus(fifo_length,n1),wr_level(x_139)) -> p_Reset(x_139) equal(wr_level(plus(x_139,n1)),plus(n0,n1))**.
% 4.71/4.88 19273[7:Rew:8855.0,19266.4,22.0,19266.4,19186.0,19266.2] p_Rd(x_139) p_Wr(x_139) || gt(minus(fifo_length,n1),n0)*l -> p_Reset(x_139) equal(fifo_length,n1).
% 4.71/4.88 19274[7:SSi:19273.1,19273.0,8913.0,18986.0,8913.0,18986.0] || gt(minus(fifo_length,n1),n0)*l -> p_Reset(x_139) equal(fifo_length,n1).
% 4.71/4.88 19275[7:MRR:19274.1,19274.2,8867.0,8807.0] || gt(minus(fifo_length,n1),n0)*l -> .
% 4.71/4.88 19276[7:MRR:19275.0,19201.0] || -> .
% 4.71/4.88 19281[7:Spt:19276.0,18985.0,18986.0] || p_Rd(x_139)* -> .
% 4.71/4.88 19282[7:Spt:19276.0,18985.1] || -> gt(fifo_length,level(x_139))*r.
% 4.71/4.88 19283[7:MRR:18746.0,19282.0] || -> gt(minus(fifo_length,n1),wr_level(x_139))*l.
% 4.71/4.88 19321[7:SpR:514.1,19283.0] || -> def_10(n1,fifo_length)* gt(y_27(fifo_length),wr_level(x_139)).
% 4.71/4.88 19335[7:Rew:14093.0,19321.1] || -> def_10(n1,fifo_length)* gt(n1,wr_level(x_139)).
% 4.71/4.88 19406[7:Res:19335.0,9.1] || gt(fifo_length,n1) -> gt(n1,wr_level(x_139))*r.
% 4.71/4.88 19408[7:MRR:19406.0,8808.0] || -> gt(n1,wr_level(x_139))*r.
% 4.71/4.88 19411[7:Res:19408.0,1492.0] || -> equal(wr_level(x_139),n0)**.
% 4.71/4.88 19426[7:Rew:19411.0,19283.0] || -> gt(minus(fifo_length,n1),n0)*l.
% 4.71/4.88 19490[7:SpR:19411.0,172.4] p_Wr(x_139) || gt(fifo_length,level(x_139)) gt(minus(fifo_length,n1),wr_level(x_139)) -> p_Reset(x_139) equal(wr_level(plus(x_139,n1)),plus(n0,n1))**.
% 4.71/4.88 19506[7:Rew:8855.0,19490.4,22.0,19490.4,19411.0,19490.2] p_Wr(x_139) || gt(fifo_length,level(x_139)) gt(minus(fifo_length,n1),n0)*l -> p_Reset(x_139) equal(fifo_length,n1).
% 4.71/4.88 19507[7:SSi:19506.0,8913.0] || gt(fifo_length,level(x_139)) gt(minus(fifo_length,n1),n0)*l -> p_Reset(x_139) equal(fifo_length,n1).
% 4.71/4.88 19508[7:MRR:19507.0,19507.2,19507.3,19282.0,8867.0,8807.0] || gt(minus(fifo_length,n1),n0)*l -> .
% 4.71/4.88 19509[7:MRR:19508.0,19426.0] || -> .
% 4.71/4.88 19510[5:Spt:19509.0,8842.1,14074.0] || equal(plus(n1,n1),fifo_length)** -> .
% 4.71/4.88 19511[5:Spt:19509.0,8842.0] || -> gt(fifo_length,plus(n1,n1))*r.
% 4.71/4.88 19734[6:Spt:9093.2] || -> equal(wr_level(x_139),fifo_length)**.
% 4.71/4.88 19735[6:Rew:19734.0,1.0] || gt(plus(fifo_length,n1),fifo_length)*l -> .
% 4.71/4.88 19745[6:MRR:19735.0,8857.0] || -> .
% 4.71/4.88 19759[6:Spt:19745.0,9093.2,19734.0] || equal(wr_level(x_139),fifo_length)** -> .
% 4.71/4.88 19760[6:Spt:19745.0,9093.0,9093.1] || -> p_Rd(x_139) gt(fifo_length,level(x_139))*r.
% 4.71/4.88 19761[7:Spt:19760.0] || -> p_Rd(x_139)*.
% 4.71/4.88 19762[7:MRR:9250.0,19761.0] || -> gt(minus(fifo_length,n1),wr_level(x_139))*l.
% 4.71/4.88 19801[7:SpR:514.1,19762.0] || -> def_10(n1,fifo_length)* gt(y_27(fifo_length),wr_level(x_139)).
% 4.71/4.88 19802[7:Res:19762.0,17.0] || -> gt(minus(fifo_length,n1),plus(wr_level(x_139),n1))*r equal(plus(wr_level(x_139),n1),minus(fifo_length,n1)).
% 4.71/4.88 19858[8:Spt:19801.0] || -> def_10(n1,fifo_length)*.
% 4.71/4.88 19859[8:Res:19858.0,9.1] || gt(fifo_length,n1)*l -> .
% 4.71/4.88 19861[8:MRR:19859.0,8808.0] || -> .
% 4.71/4.88 19862[8:Spt:19861.0,19801.0,19858.0] || def_10(n1,fifo_length)* -> .
% 4.71/4.88 19863[8:Spt:19861.0,19801.1] || -> gt(y_27(fifo_length),wr_level(x_139))*l.
% 4.71/4.88 20568[9:Spt:180.1] || -> equal(plus(wr_level(x_139),n1),fifo_length)**.
% 4.71/4.88 20571[9:Rew:20568.0,19802.0] || -> gt(minus(fifo_length,n1),fifo_length) equal(plus(wr_level(x_139),n1),minus(fifo_length,n1))**.
% 4.71/4.88 20577[9:Rew:20568.0,20571.1] || -> gt(minus(fifo_length,n1),fifo_length)*l equal(minus(fifo_length,n1),fifo_length).
% 4.71/4.88 20578[9:MRR:20577.0,20577.1,9068.0,9069.0] || -> .
% 4.71/4.88 20580[9:Spt:20578.0,180.1,20568.0] || equal(plus(wr_level(x_139),n1),fifo_length)** -> .
% 4.71/4.88 20581[9:Spt:20578.0,180.0] || -> gt(fifo_length,plus(wr_level(x_139),n1))*r.
% 4.71/4.88 20584[9:SpR:70.4,20581.0] p_Rd(x_139) p_Wr(x_139) || gt(minus(fifo_length,n1),wr_level(x_139)) -> p_Reset(x_139) gt(fifo_length,wr_level(plus(x_139,n1)))*r.
% 4.71/4.88 20606[9:Rew:8855.0,20584.4] p_Rd(x_139) p_Wr(x_139) || gt(minus(fifo_length,n1),wr_level(x_139))*l -> p_Reset(x_139) gt(fifo_length,fifo_length).
% 4.71/4.88 20607[9:SSi:20606.1,20606.0,8913.0,19761.0,8913.0,19761.0] || gt(minus(fifo_length,n1),wr_level(x_139))*l -> p_Reset(x_139) gt(fifo_length,fifo_length).
% 4.71/4.88 20608[9:MRR:20607.0,20607.1,20607.2,19762.0,8867.0,20.0] || -> .
% 4.71/4.88 20612[7:Spt:20608.0,19760.0,19761.0] || p_Rd(x_139)* -> .
% 4.71/4.88 20613[7:Spt:20608.0,19760.1] || -> gt(fifo_length,level(x_139))*r.
% 4.71/4.88 20614[7:MRR:18746.0,20613.0] || -> gt(minus(fifo_length,n1),wr_level(x_139))*l.
% 4.71/4.88 20647[0:SpL:172.4,1.0] p_Wr(x_139) || gt(fifo_length,level(x_139)) gt(minus(fifo_length,n1),wr_level(x_139)) gt(wr_level(plus(x_139,n1)),fifo_length)*l -> p_Reset(x_139).
% 5.22/5.45 20648[0:SpL:70.4,1.0] p_Rd(x_139) p_Wr(x_139) || gt(minus(fifo_length,n1),wr_level(x_139)) gt(wr_level(plus(x_139,n1)),fifo_length)*l -> p_Reset(x_139).
% 5.22/5.45 20689[7:Res:20614.0,17.0] || -> gt(minus(fifo_length,n1),plus(wr_level(x_139),n1))*r equal(plus(wr_level(x_139),n1),minus(fifo_length,n1)).
% 5.22/5.45 20715[8:Spt:180.1] || -> equal(plus(wr_level(x_139),n1),fifo_length)**.
% 5.22/5.45 20720[8:Rew:20715.0,20689.0] || -> gt(minus(fifo_length,n1),fifo_length) equal(plus(wr_level(x_139),n1),minus(fifo_length,n1))**.
% 5.22/5.45 20721[8:Rew:20715.0,20720.1] || -> gt(minus(fifo_length,n1),fifo_length)*l equal(minus(fifo_length,n1),fifo_length).
% 5.22/5.45 20722[8:MRR:20721.0,20721.1,9068.0,9069.0] || -> .
% 5.22/5.45 20724[8:Spt:20722.0,180.1,20715.0] || equal(plus(wr_level(x_139),n1),fifo_length)** -> .
% 5.22/5.45 20725[8:Spt:20722.0,180.0] || -> gt(fifo_length,plus(wr_level(x_139),n1))*r.
% 5.22/5.45 20727[8:SpR:172.4,20725.0] p_Wr(x_139) || gt(fifo_length,level(x_139)) gt(minus(fifo_length,n1),wr_level(x_139)) -> p_Reset(x_139) gt(fifo_length,wr_level(plus(x_139,n1)))*r.
% 5.22/5.45 20753[8:Rew:8855.0,20727.4] p_Wr(x_139) || gt(fifo_length,level(x_139)) gt(minus(fifo_length,n1),wr_level(x_139))*l -> p_Reset(x_139) gt(fifo_length,fifo_length).
% 5.22/5.45 20754[8:SSi:20753.0,8913.0] || gt(fifo_length,level(x_139)) gt(minus(fifo_length,n1),wr_level(x_139))*l -> p_Reset(x_139) gt(fifo_length,fifo_length).
% 5.22/5.45 20755[8:MRR:20754.0,20754.1,20754.2,20754.3,20613.0,20614.0,8867.0,20.0] || -> .
% 5.22/5.45 20756[3:Spt:20755.0,8868.0,8913.0] || p_Wr(x_139)* -> .
% 5.22/5.45 20757[3:Spt:20755.0,8868.1] || -> equal(wr_level(x_139),fifo_length)**.
% 5.22/5.45 20768[3:Rew:20757.0,1.0] || gt(plus(fifo_length,n1),fifo_length)*l -> .
% 5.22/5.45 20776[3:MRR:20768.0,8857.0] || -> .
% 5.22/5.45 20829[2:Spt:20776.0,185.0,8855.0] || equal(wr_level(plus(x_139,n1)),fifo_length)** -> .
% 5.22/5.45 20830[2:Spt:20776.0,185.1] || -> gt(wr_level(plus(x_139,n1)),fifo_length)*l.
% 5.22/5.45 20831[2:MRR:20648.3,20830.0] p_Rd(x_139) p_Wr(x_139) || gt(minus(fifo_length,n1),wr_level(x_139))*l -> p_Reset(x_139).
% 5.22/5.45 20832[2:MRR:20647.3,20830.0] p_Wr(x_139) || gt(fifo_length,level(x_139)) gt(minus(fifo_length,n1),wr_level(x_139))*l -> p_Reset(x_139).
% 5.22/5.45 20838[2:SpR:166.2,20830.0] p_Wr(x_139) || gt(fifo_length,level(x_139)) -> gt(minus(fifo_length,n1),wr_level(x_139))*l gt(n0,fifo_length).
% 5.22/5.45 20839[2:SpR:134.2,20830.0] p_Rd(x_139) p_Wr(x_139) || -> gt(minus(fifo_length,n1),wr_level(x_139))*l gt(n0,fifo_length).
% 5.22/5.45 20840[2:SpR:30.1,20830.0] p_Reset(x_139) || -> gt(n0,fifo_length)*l.
% 5.22/5.45 20848[2:MRR:20840.1,8920.0] p_Reset(x_139) || -> .
% 5.22/5.45 20849[2:MRR:20831.3,20848.0] p_Rd(x_139) p_Wr(x_139) || gt(minus(fifo_length,n1),wr_level(x_139))*l -> .
% 5.22/5.45 20850[2:MRR:20832.3,20848.0] p_Wr(x_139) || gt(fifo_length,level(x_139)) gt(minus(fifo_length,n1),wr_level(x_139))*l -> .
% 5.22/5.45 20854[2:MRR:20839.3,8920.0] p_Rd(x_139) p_Wr(x_139) || -> gt(minus(fifo_length,n1),wr_level(x_139))*l.
% 5.22/5.45 20855[2:MRR:20854.2,20849.2] p_Rd(x_139) p_Wr(x_139) || -> .
% 5.22/5.45 20856[2:MRR:20838.3,8920.0] p_Wr(x_139) || gt(fifo_length,level(x_139)) -> gt(minus(fifo_length,n1),wr_level(x_139))*l.
% 5.22/5.45 20857[2:MRR:20856.2,20850.2] p_Wr(x_139) || gt(fifo_length,level(x_139))*r -> .
% 5.22/5.45 20905[0:SpR:120.3,2.0] || -> p_Rd(x_139) p_Reset(x_139) gt(fifo_length,level(x_139)) gt(plus(wr_level(x_139),n1),fifo_length)*l.
% 5.22/5.45 20906[0:SpR:72.2,2.0] || -> p_Wr(x_139) p_Reset(x_139) gt(plus(wr_level(x_139),n1),fifo_length)*l.
% 5.22/5.45 20927[2:MRR:20906.1,20906.2,20848.0,1.0] || -> p_Wr(x_139)*.
% 5.22/5.45 20928[2:MRR:20855.1,20927.0] p_Rd(x_139) || -> .
% 5.22/5.45 20929[2:MRR:20857.0,20927.0] || gt(fifo_length,level(x_139))*r -> .
% 5.22/5.45 20934[2:MRR:20905.1,20905.3,20848.0,1.0] || -> p_Rd(x_139) gt(fifo_length,level(x_139))*r.
% 5.22/5.45 20935[2:MRR:20934.0,20934.1,20928.0,20929.0] || -> .
% 5.22/5.45 % SZS output end Refutation
% 5.22/5.45 Formulae used in the proof : quest_1 quest_2 quest_3 axiom_1 axiom_2 axiom_3 axiom_4 axiom_6 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_27 axiom_40 axiom_41 axiom_43 axiom_67 axiom_68 axiom_69
% 5.22/5.45
%------------------------------------------------------------------------------