TSTP Solution File: SYN067+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 12:17:57 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 14:51:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 457 clauses, backtracked 359 clauses, performed 38 splits and kept 641 clauses.
% 0.19/0.45 SPASS allocated 97855 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.02 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 3, length 307 :
% 0.19/0.45 % SZS output start Refutation
% 0.19/0.45 1[0:Inp] || -> big_p(skc11)*.
% 0.19/0.45 2[0:Inp] || -> big_p(skc8)*.
% 0.19/0.45 3[0:Inp] || -> big_p(skf13(u))*.
% 0.19/0.45 4[0:Inp] || -> big_p(skf11(u))*.
% 0.19/0.45 5[0:Inp] || -> big_p(skf7(u))*.
% 0.19/0.45 6[0:Inp] || -> SkC0 SkP0(u)*.
% 0.19/0.45 7[0:Inp] || -> big_p(a)* SkC0.
% 0.19/0.45 8[0:Inp] || -> big_p(a) SkP0(u)*.
% 0.19/0.45 9[0:Inp] big_p(u) || -> SkP0(u)*.
% 0.19/0.45 10[0:Inp] || big_p(skc10) -> big_r(skc10,skc11)*.
% 0.19/0.45 11[0:Inp] || SkC0 SkP0(skc6)* -> big_p(a).
% 0.19/0.45 12[0:Inp] || SkC0 SkP0(skc6) -> big_r(skc7,skc8)*.
% 0.19/0.45 13[0:Inp] || SkC0 big_p(a) -> big_r(u,skf10(u))* big_p(u).
% 0.19/0.45 14[0:Inp] || SkC0 big_p(a) -> big_r(skf10(u),skf11(u))* big_p(v)*.
% 0.19/0.45 15[0:Inp] big_p(u) || big_r(v,u)*+ big_r(skc10,v)* -> SkC0.
% 0.19/0.45 16[0:Inp] SkP0(u) || big_p(a) -> big_r(u,skf12(u))* big_p(u).
% 0.19/0.45 17[0:Inp] SkP0(u) || big_p(a) -> big_r(skf12(v),skf13(v))* big_p(u)*.
% 0.19/0.45 18[0:Inp] big_p(u) || big_r(v,w)*+ big_r(w,u)* -> SkP0(v).
% 0.19/0.45 19[0:Inp] big_p(u) || big_r(v,u)* big_p(a) -> big_r(v,skf6(v))* SkC0.
% 0.19/0.45 20[0:Inp] big_p(u) || big_r(v,u)* big_p(a) -> big_r(skf6(w),skf7(w))* SkC0.
% 0.19/0.45 21[0:Inp] big_p(u) || SkC0 SkP0(skc6) big_r(v,u)*+ big_r(skc7,v)* -> .
% 0.19/0.45 22[0:Inp] big_p(u) || big_r(v,u)* SkC0 big_p(a) -> big_r(v,skf10(v))*.
% 0.19/0.45 23[0:Inp] big_p(u) || big_r(v,u)* SkC0 big_p(a) -> big_r(skf10(w),skf11(w))*.
% 0.19/0.45 24[0:MRR:11.0,11.1,7.1,8.1] || -> big_p(a)*.
% 0.19/0.45 25[0:MRR:13.1,24.0] || SkC0 -> big_p(u) big_r(u,skf10(u))*.
% 0.19/0.45 26[0:MRR:16.1,24.0] SkP0(u) || -> big_p(u) big_r(u,skf12(u))*.
% 0.19/0.45 27[0:MRR:14.1,24.0] || SkC0+ -> big_p(u)* big_r(skf10(v),skf11(v))*.
% 0.19/0.45 28[0:MRR:17.1,24.0] SkP0(u) || -> big_p(u)* big_r(skf12(v),skf13(v))*.
% 0.19/0.45 29[0:MRR:19.2,24.0] big_p(u) || big_r(v,u)*+ -> SkC0 big_r(v,skf6(v))*.
% 0.19/0.45 30[0:MRR:22.3,24.0] big_p(u) || SkC0 big_r(v,u)*+ -> big_r(v,skf10(v))*.
% 0.19/0.45 31[0:MRR:20.2,24.0] big_p(u) || big_r(v,u)*+ -> SkC0 big_r(skf6(w),skf7(w))*.
% 0.19/0.45 32[0:MRR:23.0,23.3,27.2,27.2] || SkC0 big_r(u,v)*+ -> big_r(skf10(w),skf11(w))*.
% 0.19/0.45 46[1:Spt:15.0,15.1,15.2] big_p(u) || big_r(v,u)*+ big_r(skc10,v)* -> .
% 0.19/0.45 47[2:Spt:30.0,30.2,30.3] big_p(u) || big_r(v,u)*+ -> big_r(v,skf10(v))*.
% 0.19/0.45 48[3:Spt:29.0,29.1,29.3] big_p(u) || big_r(v,u)*+ -> big_r(v,skf6(v))*.
% 0.19/0.45 49[4:Spt:27.1] || -> big_p(u)*.
% 0.19/0.45 50[4:MRR:46.0,49.0] || big_r(u,v)*+ big_r(skc10,u)* -> .
% 0.19/0.45 51[4:MRR:47.0,49.0] || big_r(u,v)*+ -> big_r(u,skf10(u))*.
% 0.19/0.45 52[4:MRR:48.0,49.0] || big_r(u,v)*+ -> big_r(u,skf6(u))*.
% 0.19/0.45 53[4:MRR:9.0,49.0] || -> SkP0(u)*.
% 0.19/0.45 55[4:MRR:31.0,49.0] || big_r(u,v)* -> SkC0 big_r(skf6(w),skf7(w))*.
% 0.19/0.45 57[4:MRR:10.0,49.0] || -> big_r(skc10,skc11)*.
% 0.19/0.45 58[4:MRR:12.1,53.0] || SkC0 -> big_r(skc7,skc8)*.
% 0.19/0.45 60[5:Spt:32.1] || big_r(u,v)* -> .
% 0.19/0.45 61[5:UnC:60.0,57.0] || -> .
% 0.19/0.45 62[5:Spt:61.0,32.0,32.2] || SkC0 -> big_r(skf10(u),skf11(u))*.
% 0.19/0.45 63[6:Spt:58.0] || SkC0* -> .
% 0.19/0.45 64[6:MRR:55.1,63.0] || big_r(u,v)*+ -> big_r(skf6(w),skf7(w))*.
% 0.19/0.45 66[7:Spt:64.0] || big_r(u,v)* -> .
% 0.19/0.45 67[7:UnC:66.0,57.0] || -> .
% 0.19/0.45 68[7:Spt:67.0,64.1] || -> big_r(skf6(u),skf7(u))*.
% 0.19/0.45 69[7:Res:68.0,50.0] || big_r(skc10,skf6(u))* -> .
% 0.19/0.45 70[4:Res:57.0,51.0] || -> big_r(skc10,skf10(skc10))*.
% 0.19/0.45 75[4:Res:70.0,52.0] || -> big_r(skc10,skf6(skc10))*.
% 0.19/0.45 78[7:MRR:75.0,69.0] || -> .
% 0.19/0.45 79[6:Spt:78.0,58.0,63.0] || -> SkC0*.
% 0.19/0.45 80[6:Spt:78.0,58.1] || -> big_r(skc7,skc8)*.
% 0.19/0.45 81[6:MRR:62.0,79.0] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.45 104[6:Res:81.0,50.0] || big_r(skc10,skf10(u))* -> .
% 0.19/0.45 106[6:UnC:104.0,70.0] || -> .
% 0.19/0.45 107[4:Spt:106.0,27.0,27.2] || SkC0 -> big_r(skf10(u),skf11(u))*.
% 0.19/0.45 111[5:Spt:28.0,28.1] SkP0(u) || -> big_p(u)*.
% 0.19/0.45 112[6:Spt:6.0] || -> SkC0*.
% 0.19/0.45 113[6:MRR:107.0,112.0] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.45 114[6:MRR:25.0,112.0] || -> big_p(u) big_r(u,skf10(u))*.
% 0.19/0.45 127[6:Res:114.1,18.1] big_p(u) || big_r(skf10(v),u)* -> big_p(v) SkP0(v).
% 0.19/0.45 128[6:MRR:127.2,9.0] big_p(u) || big_r(skf10(v),u)* -> SkP0(v).
% 0.19/0.45 131[6:Res:113.0,128.1] big_p(skf11(u)) || -> SkP0(u)*.
% 0.19/0.45 133[6:SSi:131.0,4.0] || -> SkP0(u)*.
% 0.19/0.45 134[6:MRR:111.0,133.0] || -> big_p(u)*.
% 0.19/0.45 139[6:MRR:10.0,134.0] || -> big_r(skc10,skc11)*.
% 0.19/0.45 141[6:MRR:48.0,134.0] || big_r(u,v)*+ -> big_r(u,skf6(u))*.
% 0.19/0.45 142[6:MRR:47.0,134.0] || big_r(u,v)*+ -> big_r(u,skf10(u))*.
% 0.19/0.45 143[6:MRR:46.0,134.0] || big_r(u,v)*+ big_r(skc10,u)* -> .
% 0.19/0.45 148[6:Res:113.0,143.0] || big_r(skc10,skf10(u))* -> .
% 0.19/0.45 152[6:Res:139.0,141.0] || -> big_r(skc10,skf6(skc10))*.
% 0.19/0.45 167[6:Res:152.0,142.0] || -> big_r(skc10,skf10(skc10))*.
% 0.19/0.45 171[6:MRR:167.0,148.0] || -> .
% 0.19/0.45 172[6:Spt:171.0,6.0,112.0] || SkC0* -> .
% 0.19/0.45 173[6:Spt:171.0,6.1] || -> SkP0(u)*.
% 0.19/0.45 174[6:MRR:111.0,173.0] || -> big_p(u)*.
% 0.19/0.45 175[6:MRR:10.0,174.0] || -> big_r(skc10,skc11)*.
% 0.19/0.45 178[6:MRR:46.0,174.0] || big_r(u,v)*+ big_r(skc10,u)* -> .
% 0.19/0.45 179[6:MRR:47.0,174.0] || big_r(u,v)*+ -> big_r(u,skf10(u))*.
% 0.19/0.45 180[6:MRR:48.0,174.0] || big_r(u,v)*+ -> big_r(u,skf6(u))*.
% 0.19/0.45 181[6:MRR:31.0,31.2,174.0,172.0] || big_r(u,v)*+ -> big_r(skf6(w),skf7(w))*.
% 0.19/0.45 183[7:Spt:181.0] || big_r(u,v)* -> .
% 0.19/0.45 184[7:UnC:183.0,175.0] || -> .
% 0.19/0.45 185[7:Spt:184.0,181.1] || -> big_r(skf6(u),skf7(u))*.
% 0.19/0.45 188[7:Res:185.0,178.0] || big_r(skc10,skf6(u))* -> .
% 0.19/0.45 189[6:Res:175.0,179.0] || -> big_r(skc10,skf10(skc10))*.
% 0.19/0.45 198[6:Res:189.0,180.0] || -> big_r(skc10,skf6(skc10))*.
% 0.19/0.45 202[7:MRR:198.0,188.0] || -> .
% 0.19/0.45 203[5:Spt:202.0,28.2] || -> big_r(skf12(u),skf13(u))*.
% 0.19/0.45 204[6:Spt:6.1] || -> SkP0(u)*.
% 0.19/0.45 205[6:MRR:26.0,204.0] || -> big_p(u) big_r(u,skf12(u))*.
% 0.19/0.45 207[7:Spt:31.2] || -> SkC0*.
% 0.19/0.45 208[7:MRR:107.0,207.0] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.45 221[5:Res:203.0,46.1] big_p(skf13(u)) || big_r(skc10,skf12(u))* -> .
% 0.19/0.45 223[7:Res:208.0,46.1] big_p(skf11(u)) || big_r(skc10,skf10(u))* -> .
% 0.19/0.45 228[5:SSi:221.0,3.0] || big_r(skc10,skf12(u))* -> .
% 0.19/0.45 229[7:SSi:223.0,4.0] || big_r(skc10,skf10(u))* -> .
% 0.19/0.45 232[6:Res:205.1,228.0] || -> big_p(skc10)*.
% 0.19/0.45 233[6:MRR:10.0,232.0] || -> big_r(skc10,skc11)*.
% 0.19/0.45 242[6:Res:233.0,47.1] big_p(skc11) || -> big_r(skc10,skf10(skc10))*.
% 0.19/0.45 247[6:SSi:242.0,1.0] || -> big_r(skc10,skf10(skc10))*.
% 0.19/0.45 248[7:MRR:247.0,229.0] || -> .
% 0.19/0.45 251[7:Spt:248.0,31.2,207.0] || SkC0* -> .
% 0.19/0.45 252[7:Spt:248.0,31.0,31.1,31.3] big_p(u) || big_r(v,u)*+ -> big_r(skf6(w),skf7(w))*.
% 0.19/0.45 254[7:Res:233.0,252.1] big_p(skc11) || -> big_r(skf6(u),skf7(u))*.
% 0.19/0.45 256[7:SSi:254.0,1.0] || -> big_r(skf6(u),skf7(u))*.
% 0.19/0.45 261[7:Res:256.0,46.1] big_p(skf7(u)) || big_r(skc10,skf6(u))* -> .
% 0.19/0.45 263[7:SSi:261.0,5.0] || big_r(skc10,skf6(u))* -> .
% 0.19/0.45 267[6:Res:233.0,48.1] big_p(skc11) || -> big_r(skc10,skf6(skc10))*.
% 0.19/0.45 271[6:SSi:267.0,1.0] || -> big_r(skc10,skf6(skc10))*.
% 0.19/0.45 272[7:MRR:271.0,263.0] || -> .
% 0.19/0.45 276[6:Spt:272.0,6.0] || -> SkC0*.
% 0.19/0.45 278[6:MRR:107.0,276.0] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.45 279[6:MRR:25.0,276.0] || -> big_p(u) big_r(u,skf10(u))*.
% 0.19/0.45 283[6:Res:278.0,46.1] big_p(skf11(u)) || big_r(skc10,skf10(u))* -> .
% 0.19/0.45 285[6:SSi:283.0,4.0] || big_r(skc10,skf10(u))* -> .
% 0.19/0.45 288[7:Spt:10.0] || big_p(skc10)* -> .
% 0.19/0.45 302[6:Res:279.1,285.0] || -> big_p(skc10)*.
% 0.19/0.45 307[7:MRR:302.0,288.0] || -> .
% 0.19/0.45 308[7:Spt:307.0,10.0,288.0] || -> big_p(skc10)*.
% 0.19/0.45 309[7:Spt:307.0,10.1] || -> big_r(skc10,skc11)*.
% 0.19/0.45 314[7:Res:309.0,47.1] big_p(skc11) || -> big_r(skc10,skf10(skc10))*.
% 0.19/0.45 318[7:SSi:314.0,1.0] || -> big_r(skc10,skf10(skc10))*.
% 0.19/0.45 319[7:MRR:318.0,285.0] || -> .
% 0.19/0.45 320[3:Spt:319.0,29.2] || -> SkC0*.
% 0.19/0.45 321[3:MRR:25.0,320.0] || -> big_p(u) big_r(u,skf10(u))*.
% 0.19/0.45 322[3:MRR:12.0,320.0] || SkP0(skc6) -> big_r(skc7,skc8)*.
% 0.19/0.45 323[3:MRR:27.0,320.0] || -> big_p(u)* big_r(skf10(v),skf11(v))*.
% 0.19/0.45 324[3:MRR:32.0,320.0] || big_r(u,v)*+ -> big_r(skf10(w),skf11(w))*.
% 0.19/0.45 325[3:MRR:21.1,320.0] big_p(u) || SkP0(skc6) big_r(v,u)* big_r(skc7,v)* -> .
% 0.19/0.45 326[4:Spt:28.0,28.1] SkP0(u) || -> big_p(u)*.
% 0.19/0.45 327[5:Spt:10.0] || big_p(skc10)* -> .
% 0.19/0.45 328[5:Res:326.1,327.0] SkP0(skc10) || -> .
% 0.19/0.45 329[5:SoR:328.0,9.1] big_p(skc10) || -> .
% 0.19/0.45 331[3:Res:322.1,47.1] big_p(skc8) || SkP0(skc6) -> big_r(skc7,skf10(skc7))*.
% 0.19/0.45 333[3:SSi:331.0,2.0] || SkP0(skc6) -> big_r(skc7,skf10(skc7))*.
% 0.19/0.45 339[6:Spt:323.0] || -> big_p(u)*.
% 0.19/0.45 340[6:UnC:339.0,329.0] || -> .
% 0.19/0.45 341[6:Spt:340.0,323.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.45 343[6:Res:341.0,46.1] big_p(skf11(u)) || big_r(skc10,skf10(u))* -> .
% 0.19/0.45 344[6:SSi:343.0,4.0] || big_r(skc10,skf10(u))* -> .
% 0.19/0.46 346[6:Res:321.1,344.0] || -> big_p(skc10)*.
% 0.19/0.46 347[6:MRR:346.0,329.0] || -> .
% 0.19/0.46 348[5:Spt:347.0,10.0,327.0] || -> big_p(skc10)*.
% 0.19/0.46 349[5:Spt:347.0,10.1] || -> big_r(skc10,skc11)*.
% 0.19/0.46 352[5:Res:349.0,47.1] big_p(skc11) || -> big_r(skc10,skf10(skc10))*.
% 0.19/0.46 354[5:SSi:352.0,1.0] || -> big_r(skc10,skf10(skc10))*.
% 0.19/0.46 357[6:Spt:323.0] || -> big_p(u)*.
% 0.19/0.46 358[6:MRR:46.0,357.0] || big_r(u,v)*+ big_r(skc10,u)* -> .
% 0.19/0.46 360[6:MRR:9.0,357.0] || -> SkP0(u)*.
% 0.19/0.46 365[6:MRR:333.0,360.0] || -> big_r(skc7,skf10(skc7))*.
% 0.19/0.46 376[7:Spt:324.0] || big_r(u,v)* -> .
% 0.19/0.46 377[7:UnC:376.0,365.0] || -> .
% 0.19/0.46 378[7:Spt:377.0,324.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 380[7:Res:378.0,358.0] || big_r(skc10,skf10(u))* -> .
% 0.19/0.46 382[7:UnC:380.0,354.0] || -> .
% 0.19/0.46 383[6:Spt:382.0,323.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 391[3:Res:321.1,18.1] big_p(u) || big_r(skf10(v),u)* -> big_p(v) SkP0(v).
% 0.19/0.46 393[3:MRR:391.2,9.0] big_p(u) || big_r(skf10(v),u)* -> SkP0(v).
% 0.19/0.46 397[6:Res:383.0,393.1] big_p(skf11(u)) || -> SkP0(u)*.
% 0.19/0.46 398[6:SSi:397.0,4.0] || -> SkP0(u)*.
% 0.19/0.46 402[6:MRR:326.0,398.0] || -> big_p(u)*.
% 0.19/0.46 407[6:MRR:333.0,398.0] || -> big_r(skc7,skf10(skc7))*.
% 0.19/0.46 408[6:MRR:325.0,325.1,402.0,398.0] || big_r(u,v)*+ big_r(skc7,u)* -> .
% 0.19/0.46 411[6:Res:383.0,408.0] || big_r(skc7,skf10(u))* -> .
% 0.19/0.46 413[6:UnC:411.0,407.0] || -> .
% 0.19/0.46 414[4:Spt:413.0,28.2] || -> big_r(skf12(u),skf13(u))*.
% 0.19/0.46 415[5:Spt:322.0] || SkP0(skc6)* -> .
% 0.19/0.46 416[5:Res:9.1,415.0] big_p(skc6) || -> .
% 0.19/0.46 417[6:Spt:10.0] || big_p(skc10)* -> .
% 0.19/0.46 418[7:Spt:323.0] || -> big_p(u)*.
% 0.19/0.46 419[7:UnC:418.0,417.0] || -> .
% 0.19/0.46 420[7:Spt:419.0,323.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 427[7:Res:420.0,393.1] big_p(skf11(u)) || -> SkP0(u)*.
% 0.19/0.46 428[7:SSi:427.0,4.0] || -> SkP0(u)*.
% 0.19/0.46 429[7:UnC:428.0,415.0] || -> .
% 0.19/0.46 430[6:Spt:429.0,10.0,417.0] || -> big_p(skc10)*.
% 0.19/0.46 431[6:Spt:429.0,10.1] || -> big_r(skc10,skc11)*.
% 0.19/0.46 435[7:Spt:323.0] || -> big_p(u)*.
% 0.19/0.46 436[7:UnC:435.0,416.0] || -> .
% 0.19/0.46 437[7:Spt:436.0,323.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 439[7:Res:437.0,393.1] big_p(skf11(u)) || -> SkP0(u)*.
% 0.19/0.46 440[7:SSi:439.0,4.0] || -> SkP0(u)*.
% 0.19/0.46 441[7:UnC:440.0,415.0] || -> .
% 0.19/0.46 442[5:Spt:441.0,322.0,415.0] || -> SkP0(skc6)*.
% 0.19/0.46 443[5:Spt:441.0,322.1] || -> big_r(skc7,skc8)*.
% 0.19/0.46 445[5:MRR:333.0,442.0] || -> big_r(skc7,skf10(skc7))*.
% 0.19/0.46 446[5:MRR:325.1,442.0] big_p(u) || big_r(v,u)*+ big_r(skc7,v)* -> .
% 0.19/0.46 449[6:Spt:10.0] || big_p(skc10)* -> .
% 0.19/0.46 450[7:Spt:323.0] || -> big_p(u)*.
% 0.19/0.46 451[7:UnC:450.0,449.0] || -> .
% 0.19/0.46 452[7:Spt:451.0,323.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 454[7:Res:452.0,393.1] big_p(skf11(u)) || -> SkP0(u)*.
% 0.19/0.46 455[7:SSi:454.0,4.0] || -> SkP0(u)*.
% 0.19/0.46 456[7:MRR:26.0,455.0] || -> big_p(u) big_r(u,skf12(u))*.
% 0.19/0.46 457[4:Res:414.0,46.1] big_p(skf13(u)) || big_r(skc10,skf12(u))* -> .
% 0.19/0.46 463[4:SSi:457.0,3.0] || big_r(skc10,skf12(u))* -> .
% 0.19/0.46 465[7:Res:456.1,463.0] || -> big_p(skc10)*.
% 0.19/0.46 466[7:MRR:465.0,449.0] || -> .
% 0.19/0.46 467[6:Spt:466.0,10.0,449.0] || -> big_p(skc10)*.
% 0.19/0.46 468[6:Spt:466.0,10.1] || -> big_r(skc10,skc11)*.
% 0.19/0.46 472[7:Spt:323.0] || -> big_p(u)*.
% 0.19/0.46 476[7:MRR:446.0,472.0] || big_r(u,v)*+ big_r(skc7,u)* -> .
% 0.19/0.46 490[8:Spt:324.0] || big_r(u,v)* -> .
% 0.19/0.46 491[8:UnC:490.0,468.0] || -> .
% 0.19/0.46 492[8:Spt:491.0,324.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 493[8:Res:492.0,476.0] || big_r(skc7,skf10(u))* -> .
% 0.19/0.46 495[8:UnC:493.0,445.0] || -> .
% 0.19/0.46 496[7:Spt:495.0,323.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 506[7:Res:496.0,446.1] big_p(skf11(u)) || big_r(skc7,skf10(u))* -> .
% 0.19/0.46 512[7:SSi:506.0,4.0] || big_r(skc7,skf10(u))* -> .
% 0.19/0.46 513[7:UnC:512.0,445.0] || -> .
% 0.19/0.46 514[2:Spt:513.0,30.1] || SkC0* -> .
% 0.19/0.46 515[2:MRR:6.0,514.0] || -> SkP0(u)*.
% 0.19/0.46 516[2:MRR:26.0,515.0] || -> big_p(u) big_r(u,skf12(u))*.
% 0.19/0.46 517[2:MRR:28.0,515.0] || -> big_p(u)* big_r(skf12(v),skf13(v))*.
% 0.19/0.46 518[2:MRR:29.2,514.0] big_p(u) || big_r(v,u)*+ -> big_r(v,skf6(v))*.
% 0.19/0.46 519[2:MRR:31.2,514.0] big_p(u) || big_r(v,u)*+ -> big_r(skf6(w),skf7(w))*.
% 0.19/0.46 520[3:Spt:517.0] || -> big_p(u)*.
% 0.19/0.46 521[3:MRR:10.0,520.0] || -> big_r(skc10,skc11)*.
% 0.19/0.46 523[3:MRR:46.0,520.0] || big_r(u,v)*+ big_r(skc10,u)* -> .
% 0.19/0.46 524[3:MRR:518.0,520.0] || big_r(u,v)*+ -> big_r(u,skf6(u))*.
% 0.19/0.46 525[3:MRR:519.0,520.0] || big_r(u,v)*+ -> big_r(skf6(w),skf7(w))*.
% 0.19/0.46 527[3:Res:521.0,524.0] || -> big_r(skc10,skf6(skc10))*.
% 0.19/0.46 528[4:Spt:525.0] || big_r(u,v)* -> .
% 0.19/0.46 529[4:UnC:528.0,521.0] || -> .
% 0.19/0.46 530[4:Spt:529.0,525.1] || -> big_r(skf6(u),skf7(u))*.
% 0.19/0.46 532[4:Res:530.0,523.0] || big_r(skc10,skf6(u))* -> .
% 0.19/0.46 533[4:UnC:532.0,527.0] || -> .
% 0.19/0.46 534[3:Spt:533.0,517.1] || -> big_r(skf12(u),skf13(u))*.
% 0.19/0.46 536[2:Res:10.1,518.1] big_p(skc11) || big_p(skc10) -> big_r(skc10,skf6(skc10))*.
% 0.19/0.46 539[2:SSi:536.0,1.0] || big_p(skc10) -> big_r(skc10,skf6(skc10))*.
% 0.19/0.46 542[3:Res:534.0,46.1] big_p(skf13(u)) || big_r(skc10,skf12(u))* -> .
% 0.19/0.46 547[3:SSi:542.0,3.0] || big_r(skc10,skf12(u))* -> .
% 0.19/0.46 548[4:Spt:519.0,519.1] big_p(u) || big_r(v,u)* -> .
% 0.19/0.46 550[4:Res:534.0,548.1] big_p(skf13(u)) || -> .
% 0.19/0.46 555[4:SSi:550.0,3.0] || -> .
% 0.19/0.46 557[4:Spt:555.0,519.2] || -> big_r(skf6(u),skf7(u))*.
% 0.19/0.46 558[3:Res:516.1,547.0] || -> big_p(skc10)*.
% 0.19/0.46 561[3:MRR:539.0,558.0] || -> big_r(skc10,skf6(skc10))*.
% 0.19/0.46 573[4:Res:557.0,46.1] big_p(skf7(u)) || big_r(skc10,skf6(u))* -> .
% 0.19/0.46 577[4:SSi:573.0,5.0] || big_r(skc10,skf6(u))* -> .
% 0.19/0.46 578[4:UnC:577.0,561.0] || -> .
% 0.19/0.46 579[1:Spt:578.0,15.3] || -> SkC0*.
% 0.19/0.46 580[1:MRR:25.0,579.0] || -> big_p(u) big_r(u,skf10(u))*.
% 0.19/0.46 581[1:MRR:12.0,579.0] || SkP0(skc6) -> big_r(skc7,skc8)*.
% 0.19/0.46 582[1:MRR:27.0,579.0] || -> big_p(u)* big_r(skf10(v),skf11(v))*.
% 0.19/0.46 583[1:MRR:32.0,579.0] || big_r(u,v)*+ -> big_r(skf10(w),skf11(w))*.
% 0.19/0.46 584[1:MRR:30.1,579.0] big_p(u) || big_r(v,u)*+ -> big_r(v,skf10(v))*.
% 0.19/0.46 585[1:MRR:21.1,579.0] big_p(u) || SkP0(skc6) big_r(v,u)* big_r(skc7,v)* -> .
% 0.19/0.46 586[2:Spt:28.0,28.1] SkP0(u) || -> big_p(u)*.
% 0.19/0.46 587[3:Spt:582.0] || -> big_p(u)*.
% 0.19/0.46 588[3:MRR:9.0,587.0] || -> SkP0(u)*.
% 0.19/0.46 592[3:MRR:584.0,587.0] || big_r(u,v)*+ -> big_r(u,skf10(u))*.
% 0.19/0.46 593[3:MRR:585.0,587.0] || SkP0(skc6) big_r(u,v)* big_r(skc7,u)* -> .
% 0.19/0.46 594[3:MRR:581.0,588.0] || -> big_r(skc7,skc8)*.
% 0.19/0.46 595[3:MRR:593.0,588.0] || big_r(u,v)*+ big_r(skc7,u)* -> .
% 0.19/0.46 599[3:Res:594.0,592.0] || -> big_r(skc7,skf10(skc7))*.
% 0.19/0.46 604[4:Spt:583.0] || big_r(u,v)* -> .
% 0.19/0.46 605[4:UnC:604.0,599.0] || -> .
% 0.19/0.46 606[4:Spt:605.0,583.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 608[4:Res:606.0,595.0] || big_r(skc7,skf10(u))* -> .
% 0.19/0.46 609[4:UnC:608.0,599.0] || -> .
% 0.19/0.46 610[3:Spt:609.0,582.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 611[3:Res:610.0,584.1] big_p(skf11(u)) || -> big_r(skf10(u),skf10(skf10(u)))*.
% 0.19/0.46 613[1:Res:581.1,584.1] big_p(skc8) || SkP0(skc6) -> big_r(skc7,skf10(skc7))*.
% 0.19/0.46 615[3:SSi:611.0,4.0] || -> big_r(skf10(u),skf10(skf10(u)))*.
% 0.19/0.46 618[1:SSi:613.0,2.0] || SkP0(skc6) -> big_r(skc7,skf10(skc7))*.
% 0.19/0.46 624[1:Res:580.1,18.1] big_p(u) || big_r(skf10(v),u)* -> big_p(v) SkP0(v).
% 0.19/0.46 627[1:MRR:624.2,9.0] big_p(u) || big_r(skf10(v),u)* -> SkP0(v).
% 0.19/0.46 630[3:Res:610.0,627.1] big_p(skf11(u)) || -> SkP0(u)*.
% 0.19/0.46 633[3:SSi:630.0,4.0] || -> SkP0(u)*.
% 0.19/0.46 634[3:MRR:586.0,633.0] || -> big_p(u)*.
% 0.19/0.46 636[3:MRR:618.0,633.0] || -> big_r(skc7,skf10(skc7))*.
% 0.19/0.46 637[3:MRR:585.1,633.0] big_p(u) || big_r(v,u)* big_r(skc7,v)* -> .
% 0.19/0.46 640[3:MRR:637.0,634.0] || big_r(u,v)*+ big_r(skc7,u)* -> .
% 0.19/0.46 643[3:Res:615.0,640.0] || big_r(skc7,skf10(u))* -> .
% 0.19/0.46 648[3:UnC:643.0,636.0] || -> .
% 0.19/0.46 649[2:Spt:648.0,28.2] || -> big_r(skf12(u),skf13(u))*.
% 0.19/0.46 650[3:Spt:581.0] || SkP0(skc6)* -> .
% 0.19/0.46 651[3:Res:9.1,650.0] big_p(skc6) || -> .
% 0.19/0.46 652[4:Spt:582.0] || -> big_p(u)*.
% 0.19/0.46 653[4:UnC:652.0,651.0] || -> .
% 0.19/0.46 654[4:Spt:653.0,582.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 657[4:Res:654.0,627.1] big_p(skf11(u)) || -> SkP0(u)*.
% 0.19/0.46 658[4:SSi:657.0,4.0] || -> SkP0(u)*.
% 0.19/0.46 659[4:UnC:658.0,650.0] || -> .
% 0.19/0.46 660[3:Spt:659.0,581.0,650.0] || -> SkP0(skc6)*.
% 0.19/0.46 661[3:Spt:659.0,581.1] || -> big_r(skc7,skc8)*.
% 0.19/0.46 662[3:MRR:618.0,660.0] || -> big_r(skc7,skf10(skc7))*.
% 0.19/0.46 664[3:MRR:585.1,660.0] big_p(u) || big_r(v,u)*+ big_r(skc7,v)* -> .
% 0.19/0.46 665[4:Spt:582.0] || -> big_p(u)*.
% 0.19/0.46 673[4:MRR:664.0,665.0] || big_r(u,v)*+ big_r(skc7,u)* -> .
% 0.19/0.46 686[5:Spt:583.0] || big_r(u,v)* -> .
% 0.19/0.46 687[5:UnC:686.0,662.0] || -> .
% 0.19/0.46 688[5:Spt:687.0,583.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 690[5:Res:688.0,673.0] || big_r(skc7,skf10(u))* -> .
% 0.19/0.46 691[5:UnC:690.0,662.0] || -> .
% 0.19/0.46 692[4:Spt:691.0,582.1] || -> big_r(skf10(u),skf11(u))*.
% 0.19/0.46 705[4:Res:692.0,664.1] big_p(skf11(u)) || big_r(skc7,skf10(u))* -> .
% 0.19/0.46 710[4:SSi:705.0,4.0] || big_r(skc7,skf10(u))* -> .
% 0.19/0.46 711[4:UnC:710.0,662.0] || -> .
% 0.19/0.46 % SZS output end Refutation
% 0.19/0.46 Formulae used in the proof : pel38
% 0.19/0.46
%------------------------------------------------------------------------------