TSTP Solution File: SWW429-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW429-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 01:28:28 EDT 2022
% Result : Unsatisfiable 48.61s 48.84s
% Output : Refutation 48.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW429-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n028.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 : Sat Jun 4 21:36:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 48.61/48.84
% 48.61/48.84 SPASS V 3.9
% 48.61/48.84 SPASS beiseite: Proof found.
% 48.61/48.84 % SZS status Theorem
% 48.61/48.84 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.61/48.84 SPASS derived 24085 clauses, backtracked 10 clauses, performed 2 splits and kept 3047 clauses.
% 48.61/48.84 SPASS allocated 80801 KBytes.
% 48.61/48.84 SPASS spent 0:0:48.48 on the problem.
% 48.61/48.84 0:00:00.04 for the input.
% 48.61/48.84 0:00:00.00 for the FLOTTER CNF translation.
% 48.61/48.84 0:00:00.37 for inferences.
% 48.61/48.84 0:00:00.00 for the backtracking.
% 48.61/48.84 0:0:48.03 for the reduction.
% 48.61/48.84
% 48.61/48.84
% 48.61/48.84 Here is a proof with depth 7, length 100 :
% 48.61/48.84 % SZS output start Refutation
% 48.61/48.84 1[0:Inp] || equal(x7__dfg,x4__dfg)** -> .
% 48.61/48.84 3[0:Inp] || equal(x8__dfg,x3__dfg)** -> .
% 48.61/48.84 5[0:Inp] || equal(x5__dfg,x9__dfg)** -> .
% 48.61/48.84 6[0:Inp] || -> heap(sep(lseg(x5__dfg,x1__dfg),sep(lseg(x7__dfg,x12__dfg),sep(lseg(x7__dfg,x8__dfg),sep(lseg(x3__dfg,x5__dfg),sep(lseg(x3__dfg,x12__dfg),sep(lseg(x4__dfg,x12__dfg),sep(lseg(x4__dfg,x7__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x9__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x8__dfg,x11__dfg),emp))))))))))))*.
% 48.61/48.84 8[0:Inp] || -> equal(sep(u,sep(v,w)),sep(v,sep(u,w)))*.
% 48.61/48.84 9[0:Inp] || -> equal(sep(lseg(u,u),v),v)**.
% 48.61/48.84 14[0:Inp] || heap(sep(lseg(u,v),sep(lseg(u,w),x)))* -> equal(u,w) equal(u,v).
% 48.61/48.84 16[0:Inp] || heap(sep(lseg(u,v),sep(lseg(v,nil),w)))* -> heap(sep(lseg(u,nil),w)).
% 48.61/48.84 19[0:Rew:8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0,8.0,6.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x12__dfg),sep(lseg(x7__dfg,x8__dfg),sep(lseg(x7__dfg,x12__dfg),sep(lseg(x3__dfg,x5__dfg),sep(lseg(x3__dfg,x12__dfg),sep(lseg(x8__dfg,x11__dfg),sep(lseg(x5__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))))))))*.
% 48.61/48.84 23[0:SpR:8.0,8.0] || -> equal(sep(u,sep(v,sep(w,x))),sep(v,sep(w,sep(u,x))))*.
% 48.61/48.84 109[0:SpL:8.0,16.0] || heap(sep(lseg(u,v),sep(w,sep(lseg(v,nil),x))))* -> heap(sep(lseg(u,nil),sep(w,x))).
% 48.61/48.84 158[0:SpL:8.0,14.0] || heap(sep(lseg(u,v),sep(w,sep(lseg(u,x),y))))* -> equal(u,x) equal(u,v).
% 48.61/48.84 164[0:SpR:23.0,8.0] || -> equal(sep(u,sep(v,sep(w,sep(x,y)))),sep(v,sep(w,sep(x,sep(u,y)))))*.
% 48.61/48.84 165[0:SpR:23.0,8.0] || -> equal(sep(u,sep(v,sep(w,x))),sep(u,sep(w,sep(v,x))))*.
% 48.61/48.84 166[0:SpR:23.0,23.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,z))))),sep(v,sep(w,sep(x,sep(y,sep(u,z))))))*.
% 48.61/48.84 171[0:SpR:23.0,23.0] || -> equal(sep(u,sep(v,sep(w,sep(x,y)))),sep(v,sep(u,sep(x,sep(w,y)))))*.
% 48.61/48.84 172[0:SpR:23.0,23.0] || -> equal(sep(u,sep(v,sep(w,sep(x,y)))),sep(x,sep(v,sep(u,sep(w,y)))))*.
% 48.61/48.84 173[0:SpR:23.0,23.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,z))))),sep(v,sep(y,sep(u,sep(w,sep(x,z))))))*.
% 48.61/48.84 175[0:SpR:23.0,8.0] || -> equal(sep(u,sep(v,sep(w,sep(x,y)))),sep(v,sep(x,sep(u,sep(w,y)))))*.
% 48.61/48.84 176[0:SpR:23.0,8.0] || -> equal(sep(u,sep(v,sep(w,x))),sep(w,sep(v,sep(u,x))))*.
% 48.61/48.84 182[0:SpR:23.0,23.0] || -> equal(sep(u,sep(v,sep(w,sep(x,y)))),sep(v,sep(x,sep(w,sep(u,y)))))*.
% 48.61/48.84 183[0:SpR:23.0,23.0] || -> equal(sep(u,sep(v,sep(w,sep(x,y)))),sep(w,sep(x,sep(u,sep(v,y)))))*.
% 48.61/48.84 294[0:SpL:23.0,14.0] || heap(sep(u,sep(lseg(v,w),sep(lseg(v,x),y))))* -> equal(v,x) equal(v,w).
% 48.61/48.84 312[0:SpR:165.0,165.0] || -> equal(sep(u,sep(v,sep(w,sep(x,y)))),sep(u,sep(w,sep(x,sep(v,y)))))*.
% 48.61/48.84 333[0:SpR:165.0,165.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,z))))),sep(u,sep(w,sep(v,sep(y,sep(x,z))))))*.
% 48.61/48.84 474[0:SpR:176.0,23.0] || -> equal(sep(u,sep(v,sep(w,sep(x,y)))),sep(x,sep(w,sep(u,sep(v,y)))))*.
% 48.61/48.84 1142[0:Res:19.0,14.0] || -> equal(x12__dfg,x4__dfg)** equal(x7__dfg,x4__dfg).
% 48.61/48.84 1143[0:MRR:1142.1,1.0] || -> equal(x12__dfg,x4__dfg)**.
% 48.61/48.84 1144[0:Rew:1143.0,19.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x4__dfg),sep(lseg(x7__dfg,x8__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x3__dfg,x5__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x8__dfg,x11__dfg),sep(lseg(x5__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))))))))*.
% 48.61/48.84 1145[0:Rew:9.0,1144.0,8.0,1144.0,23.0,1144.0,23.0,1144.0,23.0,1144.0,23.0,1144.0,23.0,1144.0,23.0,1144.0,23.0,1144.0,8.0,1144.0,23.0,1144.0,23.0,1144.0,23.0,1144.0,23.0,1144.0,23.0,1144.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x7__dfg,x8__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x5__dfg),sep(lseg(x8__dfg,x11__dfg),sep(lseg(x5__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))))))*.
% 48.61/48.84 1745[0:SpR:164.0,165.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,z))))),sep(u,sep(v,sep(y,sep(w,sep(x,z))))))*.
% 48.61/48.84 1765[0:SpR:164.0,23.0] || -> equal(sep(u,sep(v,sep(w,sep(x,y)))),sep(x,sep(v,sep(w,sep(u,y)))))*.
% 48.61/48.84 2257[0:SpR:171.0,165.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,z))))),sep(u,sep(v,sep(w,sep(y,sep(x,z))))))*.
% 48.61/48.84 3010[0:SpL:172.0,158.0] || heap(sep(u,sep(v,sep(lseg(w,x),sep(lseg(w,y),z)))))* -> equal(w,y) equal(w,x).
% 48.61/48.84 3246[0:SpL:9.0,109.0] || heap(sep(u,sep(lseg(v,nil),w)))*+ -> heap(sep(lseg(v,nil),sep(u,w)))*.
% 48.61/48.84 3290[0:SpL:23.0,3246.0] || heap(sep(lseg(u,nil),sep(v,sep(w,x))))*+ -> heap(sep(lseg(u,nil),sep(w,sep(v,x))))*.
% 48.61/48.84 3319[0:SpR:175.0,172.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,z))))),sep(y,sep(x,sep(u,sep(v,sep(w,z))))))*.
% 48.61/48.84 3475[0:SpR:176.0,175.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,z))))),sep(v,sep(x,sep(y,sep(w,sep(u,z))))))*.
% 48.61/48.84 3897[0:SpR:182.0,165.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,z))))),sep(u,sep(v,sep(y,sep(x,sep(w,z))))))*.
% 48.61/48.84 4676[0:SpR:164.0,183.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,sep(z,x1)))))),sep(w,sep(x,sep(z,sep(u,sep(v,sep(y,x1)))))))*.
% 48.61/48.84 5195[0:Res:1145.0,294.0] || -> equal(x8__dfg,x7__dfg)** equal(x7__dfg,x4__dfg).
% 48.61/48.84 5196[0:MRR:5195.1,1.0] || -> equal(x8__dfg,x7__dfg)**.
% 48.61/48.84 5197[0:Rew:5196.0,3.0] || equal(x3__dfg,x7__dfg)** -> .
% 48.61/48.84 5198[0:Rew:5196.0,1145.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x7__dfg,x7__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x5__dfg),sep(lseg(x7__dfg,x11__dfg),sep(lseg(x5__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))))))*.
% 48.61/48.84 5199[0:Rew:9.0,5198.0,8.0,5198.0,23.0,5198.0,23.0,5198.0,23.0,5198.0,23.0,5198.0,23.0,5198.0,8.0,5198.0,23.0,5198.0,23.0,5198.0,23.0,5198.0,23.0,5198.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x7__dfg,x11__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x5__dfg),sep(lseg(x5__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))))))*.
% 48.61/48.84 5468[0:SpR:182.0,312.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,z))))),sep(u,sep(x,sep(y,sep(v,sep(w,z))))))*.
% 48.61/48.84 5861[0:Res:5199.0,294.0] || -> equal(x11__dfg,x7__dfg)** equal(x7__dfg,x4__dfg).
% 48.61/48.84 5862[0:MRR:5861.1,1.0] || -> equal(x11__dfg,x7__dfg)**.
% 48.61/48.84 5863[0:Rew:5862.0,5199.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x7__dfg,x7__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x5__dfg),sep(lseg(x5__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))))))*.
% 48.61/48.84 5864[0:Rew:9.0,5863.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x5__dfg),sep(lseg(x5__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))))*.
% 48.61/48.84 8231[0:SpR:1765.0,175.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,sep(z,sep(x1,x2))))))),sep(v,sep(x,sep(u,sep(x1,sep(y,sep(z,sep(w,x2))))))))*.
% 48.61/48.84 11729[0:SpL:9.0,3290.0] || heap(sep(u,sep(v,w))) -> heap(sep(lseg(nil,nil),sep(v,sep(u,w))))*.
% 48.61/48.84 11762[0:Rew:9.0,11729.1] || heap(sep(u,sep(v,w)))*+ -> heap(sep(v,sep(u,w)))*.
% 48.61/48.84 18400[0:SpR:166.0,182.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,sep(z,sep(x1,sep(x2,x3)))))))),sep(v,sep(x,sep(w,sep(y,sep(z,sep(x1,sep(x2,sep(u,x3)))))))))*.
% 48.61/48.84 18477[0:SpR:166.0,173.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,sep(z,sep(x1,x2))))))),sep(v,sep(y,sep(w,sep(x,sep(z,sep(x1,sep(u,x2))))))))*.
% 48.61/48.84 18618[0:SpR:166.0,474.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,sep(z,x1)))))),sep(y,sep(x,sep(u,sep(w,sep(z,sep(v,x1)))))))*.
% 48.61/48.84 18683[0:SpR:166.0,166.0] || -> equal(sep(u,sep(v,sep(w,sep(x,sep(y,sep(z,x1)))))),sep(v,sep(z,sep(w,sep(x,sep(y,sep(u,x1)))))))*.
% 48.61/48.84 22682[0:Res:5864.0,3010.0] || -> equal(x5__dfg,x3__dfg)** equal(x3__dfg,x4__dfg).
% 48.61/48.84 22683[1:Spt:22682.0] || -> equal(x5__dfg,x3__dfg)**.
% 48.79/48.99 22684[1:Rew:22683.0,5.0] || equal(x9__dfg,x3__dfg)** -> .
% 48.79/48.99 22685[1:Rew:22683.0,5864.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x3__dfg),sep(lseg(x3__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))))*.
% 48.79/48.99 22686[1:Rew:9.0,22685.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))))*.
% 48.79/48.99 23733[1:Res:22686.0,3010.0] || -> equal(x1__dfg,x3__dfg)** equal(x3__dfg,x4__dfg).
% 48.79/48.99 23757[2:Spt:23733.1] || -> equal(x3__dfg,x4__dfg)**.
% 48.79/48.99 23760[2:Rew:23757.0,22684.0] || equal(x9__dfg,x4__dfg)** -> .
% 48.79/48.99 23761[2:Rew:23757.0,22686.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x4__dfg,x4__dfg),sep(lseg(x4__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))))*.
% 48.79/48.99 23762[2:Rew:8.0,23761.0,23.0,23761.0,23.0,23761.0,23.0,23761.0,9.0,23761.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x1__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))*.
% 48.79/48.99 24032[2:Res:23762.0,11762.0] || -> heap(sep(lseg(x4__dfg,x1__dfg),sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))*.
% 48.79/48.99 24033[2:Res:23762.0,14.0] || -> equal(x1__dfg,x4__dfg)** equal(x7__dfg,x4__dfg).
% 48.79/48.99 24034[2:MRR:24033.1,1.0] || -> equal(x1__dfg,x4__dfg)**.
% 48.79/48.99 24036[2:Rew:8.0,24032.0,23.0,24032.0,23.0,24032.0,23.0,24032.0,23.0,24032.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x1__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))*.
% 48.79/48.99 24037[2:Rew:2257.0,24036.0,5468.0,24036.0,3475.0,24036.0,18683.0,24036.0,2257.0,24036.0,333.0,24036.0,24034.0,24036.0] || -> heap(sep(lseg(x4__dfg,x4__dfg),sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x6__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))*.
% 48.79/48.99 24038[2:Rew:9.0,24037.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x6__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))*.
% 48.79/48.99 24129[2:Res:24038.0,11762.0] || -> heap(sep(lseg(x4__dfg,x6__dfg),sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))*.
% 48.79/48.99 24130[2:Res:24038.0,14.0] || -> equal(x6__dfg,x4__dfg)** equal(x7__dfg,x4__dfg).
% 48.79/48.99 24131[2:MRR:24130.1,1.0] || -> equal(x6__dfg,x4__dfg)**.
% 48.79/48.99 24133[2:Rew:8.0,24129.0,23.0,24129.0,23.0,24129.0,23.0,24129.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x6__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))*.
% 48.79/48.99 24134[2:Rew:5468.0,24133.0,3475.0,24133.0,2257.0,24133.0,1745.0,24133.0,3897.0,24133.0,24131.0,24133.0] || -> heap(sep(lseg(x4__dfg,x4__dfg),sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x9__dfg),sep(lseg(x7__dfg,x4__dfg),emp))))))*.
% 48.79/48.99 24135[2:Rew:9.0,24134.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x9__dfg),sep(lseg(x7__dfg,x4__dfg),emp)))))*.
% 48.79/48.99 24231[2:Res:24135.0,158.0] || -> equal(x9__dfg,x4__dfg)** equal(x7__dfg,x4__dfg).
% 48.79/48.99 24235[2:MRR:24231.0,24231.1,23760.0,1.0] || -> .
% 48.79/48.99 24258[2:Spt:24235.0,23733.1,23757.0] || equal(x3__dfg,x4__dfg)** -> .
% 48.79/48.99 24259[2:Spt:24235.0,23733.0] || -> equal(x1__dfg,x3__dfg)**.
% 48.79/48.99 24260[2:Rew:24259.0,22686.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x3__dfg),sep(lseg(x3__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))))*.
% 48.79/48.99 24261[2:Rew:9.0,24260.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))*.
% 48.79/48.99 24531[2:Res:24261.0,11762.0] || -> heap(sep(lseg(x7__dfg,x4__dfg),sep(lseg(x4__dfg,x7__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))*.
% 48.79/48.99 24532[2:Res:24261.0,3010.0] || -> equal(x6__dfg,x3__dfg)** equal(x3__dfg,x4__dfg).
% 48.79/48.99 24533[2:MRR:24532.1,24258.0] || -> equal(x6__dfg,x3__dfg)**.
% 48.79/48.99 24535[2:Rew:8.0,24531.0,23.0,24531.0,23.0,24531.0,23.0,24531.0,23.0,24531.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))*.
% 48.79/48.99 24536[2:Rew:2257.0,24535.0,1745.0,24535.0,24533.0,24535.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x7__dfg),sep(lseg(x3__dfg,x3__dfg),sep(lseg(x3__dfg,x9__dfg),emp)))))))*.
% 48.79/48.99 24537[2:Rew:9.0,24536.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x3__dfg,x4__dfg),sep(lseg(x3__dfg,x7__dfg),sep(lseg(x3__dfg,x9__dfg),emp))))))*.
% 48.79/48.99 24629[2:Res:24537.0,3010.0] || -> equal(x3__dfg,x7__dfg)** equal(x3__dfg,x4__dfg).
% 48.79/48.99 24630[2:MRR:24629.0,24629.1,5197.0,24258.0] || -> .
% 48.79/48.99 24654[1:Spt:24630.0,22682.0,22683.0] || equal(x5__dfg,x3__dfg)** -> .
% 48.79/48.99 24655[1:Spt:24630.0,22682.1] || -> equal(x3__dfg,x4__dfg)**.
% 48.79/48.99 24657[1:Rew:24655.0,24654.0] || equal(x5__dfg,x4__dfg)** -> .
% 48.79/48.99 24658[1:Rew:2257.0,5864.0,5468.0,5864.0,3475.0,5864.0,18683.0,5864.0,2257.0,5864.0,3897.0,5864.0,5468.0,5864.0,3475.0,5864.0,5468.0,5864.0,18618.0,5864.0,2257.0,5864.0,333.0,5864.0,5468.0,5864.0,3319.0,5864.0,5468.0,5864.0,3475.0,5864.0,4676.0,5864.0,2257.0,5864.0,1745.0,5864.0,3897.0,5864.0,3475.0,5864.0,18477.0,5864.0,2257.0,5864.0,5468.0,5864.0,3475.0,5864.0,18683.0,5864.0,2257.0,5864.0,333.0,5864.0,5468.0,5864.0,3475.0,5864.0,2257.0,5864.0,5468.0,5864.0,3475.0,5864.0,8231.0,5864.0,2257.0,5864.0,5468.0,5864.0,3475.0,5864.0,18683.0,5864.0,2257.0,5864.0,1745.0,5864.0,3897.0,5864.0,3475.0,5864.0,18400.0,5864.0,2257.0,5864.0,5468.0,5864.0,3475.0,5864.0,18683.0,5864.0,2257.0,5864.0,3897.0,5864.0,5468.0,5864.0,3475.0,5864.0,5468.0,5864.0,18618.0,5864.0,2257.0,5864.0,333.0,5864.0,5468.0,5864.0,3319.0,5864.0,5468.0,5864.0,3475.0,5864.0,4676.0,5864.0,2257.0,5864.0,1745.0,5864.0,3897.0,5864.0,3475.0,5864.0,18477.0,5864.0,2257.0,5864.0,5468.0,5864.0,3475.0,5864.0,18683.0,5864.0,2257.0,5864.0,333.0,5864.0,5468.0,5864.0,3475.0,5864.0,2257.0,5864.0,5468.0,5864.0,3475.0,5864.0,8231.0,5864.0,24655.0,5864.0] || -> heap(sep(lseg(x4__dfg,x4__dfg),sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x5__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x5__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp)))))))))*.
% 48.79/48.99 24659[1:Rew:9.0,24658.0] || -> heap(sep(lseg(x4__dfg,x7__dfg),sep(lseg(x4__dfg,x5__dfg),sep(lseg(x7__dfg,x4__dfg),sep(lseg(x5__dfg,x1__dfg),sep(lseg(x1__dfg,x6__dfg),sep(lseg(x6__dfg,x7__dfg),sep(lseg(x6__dfg,x9__dfg),emp))))))))*.
% 48.79/48.99 24684[1:Res:24659.0,14.0] || -> equal(x5__dfg,x4__dfg)** equal(x7__dfg,x4__dfg).
% 48.79/48.99 24685[1:MRR:24684.0,24684.1,24657.0,1.0] || -> .
% 48.79/48.99 % SZS output end Refutation
% 48.79/48.99 Formulae used in the proof : premise_1 premise_3 premise_5 premise_6 associative_commutative normalization wellformedness_5 unfolding_3
% 48.79/48.99
%------------------------------------------------------------------------------