TSTP Solution File: SYN917+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 12:32:03 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n014.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 : Mon Jul 11 16:26:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 246 clauses, backtracked 314 clauses, performed 55 splits and kept 541 clauses.
% 0.20/0.49 SPASS allocated 98422 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.20/0.49 0:00:00.03 for the input.
% 0.20/0.49 0:00:00.08 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.00 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.01 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 4, length 315 :
% 0.20/0.49 % SZS output start Refutation
% 0.20/0.49 1[0:Inp] || -> c SkC13*.
% 0.20/0.49 2[0:Inp] || -> c SkC14*.
% 0.20/0.49 3[0:Inp] || -> c SkC15*.
% 0.20/0.49 4[0:Inp] || -> c SkC17*.
% 0.20/0.49 5[0:Inp] || -> p(u)* SkC3.
% 0.20/0.49 6[0:Inp] || -> q(u)* SkC4.
% 0.20/0.49 7[0:Inp] || -> p(u)* SkC4.
% 0.20/0.49 8[0:Inp] || -> p(u)* SkC7.
% 0.20/0.49 9[0:Inp] || -> SkC8 p(skc49)*.
% 0.20/0.49 10[0:Inp] || -> SkC8 q(skc49)*.
% 0.20/0.49 11[0:Inp] || -> p(u)* SkC9.
% 0.20/0.49 12[0:Inp] || -> p(u)* SkC10.
% 0.20/0.49 13[0:Inp] || -> p(skc52)* SkC11.
% 0.20/0.49 14[0:Inp] || c -> SkC12*.
% 0.20/0.49 15[0:Inp] || c -> SkC14*.
% 0.20/0.49 16[0:Inp] || c -> SkC16*.
% 0.20/0.49 17[0:Inp] || -> p(u)* SkC16.
% 0.20/0.49 18[0:Inp] || -> SkC1 r(skc35,skc36)*.
% 0.20/0.49 19[0:Inp] q(u) || -> SkC3*.
% 0.20/0.49 20[0:Inp] || p(skc43)* -> SkC5.
% 0.20/0.49 21[0:Inp] || q(skc43)* -> SkC5.
% 0.20/0.49 22[0:Inp] q(u) || -> SkC6*.
% 0.20/0.49 23[0:Inp] p(u) || -> SkC6*.
% 0.20/0.49 24[0:Inp] || p(skc48)* -> SkC7.
% 0.20/0.49 25[0:Inp] || p(skc50)* -> SkC9.
% 0.20/0.49 26[0:Inp] p(u) || -> SkC10*.
% 0.20/0.49 27[0:Inp] p(u) || -> SkC11*.
% 0.20/0.49 28[0:Inp] || -> p(u)* c SkC12.
% 0.20/0.49 29[0:Inp] p(u) || -> SkC15*.
% 0.20/0.49 30[0:Inp] || SkP0(skc63)*+ -> SkC18.
% 0.20/0.49 31[0:Inp] || -> SkP0(u)* f(u).
% 0.20/0.49 32[0:Inp] || -> SkP0(u)* g(u).
% 0.20/0.49 33[0:Inp] || r(skc35,skc35)* -> SkC1.
% 0.20/0.49 34[0:Inp] || SkC18+ -> SkC2 f(skc37)*.
% 0.20/0.49 35[0:Inp] || -> SkC5 q(u)* p(v)*.
% 0.20/0.49 36[0:Inp] || -> p(skc56) p(skc55)* SkC13.
% 0.20/0.49 37[0:Inp] || c -> p(u)* SkC17.
% 0.20/0.49 38[0:Inp] h(u) || -> SkP0(u)*.
% 0.20/0.49 39[0:Inp] SkP0(u) || -> SkC0 f(skc34)*.
% 0.20/0.49 40[0:Inp] || SkC18 g(skc37)* -> SkC2.
% 0.20/0.49 41[0:Inp] || p(skc38) -> q(u)* SkC3.
% 0.20/0.49 42[0:Inp] p(u) || c -> SkC13*.
% 0.20/0.49 43[0:Inp] SkP0(u) || g(skc34)* -> SkC0.
% 0.20/0.49 44[0:Inp] q(u) p(v) || -> SkC8*.
% 0.20/0.49 45[0:Inp] || p(skc54) p(skc53)* -> SkC12.
% 0.20/0.49 46[0:Inp] || c -> p(skc57)* p(skc58) SkC15.
% 0.20/0.49 47[0:Inp] || p(skc62) p(skc61)* -> SkC17.
% 0.20/0.49 48[0:Inp] || r(u,v)*+ -> SkC1 r(v,u)*.
% 0.20/0.49 49[0:Inp] || p(skc59)* p(skc60) -> c SkC16.
% 0.20/0.49 50[0:Inp] h(u) f(u) || -> SkC0 g(u)*.
% 0.20/0.49 51[0:Inp] g(u) f(u) || -> SkC0 h(u)*.
% 0.20/0.49 52[0:Inp] h(u) f(u) || -> SkC2 g(u)*.
% 0.20/0.49 53[0:Inp] g(u) f(u) || -> SkC2 h(u)*.
% 0.20/0.49 54[0:Inp] || -> p(skc44) q(skc45)* p(skc46) q(skc47) SkC6.
% 0.20/0.49 55[0:Inp] f(u) f(v) || -> SkC0 h(u)* g(v)*.
% 0.20/0.49 56[0:Inp] f(u) f(v) || -> SkC2 h(u)* g(v)*.
% 0.20/0.49 57[0:Inp] || r(u,v)*+ r(w,u)* -> SkC1 r(w,v)*.
% 0.20/0.49 58[0:Inp] || p(skc39) q(skc40)* p(skc41) q(skc42) -> SkC4.
% 0.20/0.49 59[0:Inp] || c SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 SkC9 SkC10 SkC11 SkC12 SkC13 SkC14 SkC15 SkC16 SkC17* -> .
% 0.20/0.49 60[0:Inp] || SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 SkC9 SkC10 SkC11 SkC12 SkC13 SkC14 SkC15 SkC16 SkC17 -> p(skc33) p(skc32)*.
% 0.20/0.49 61[0:Inp] p(u) || SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 SkC9 SkC10 SkC11 SkC12 SkC13 SkC14 SkC15 SkC16 SkC17* -> c.
% 0.20/0.49 62[0:MRR:15.0,2.0] || -> SkC14*.
% 0.20/0.49 63[0:MRR:28.1,14.0] || -> p(u)* SkC12.
% 0.20/0.49 64[0:MRR:13.0,27.0] || -> SkC11*.
% 0.20/0.49 65[0:MRR:26.0,12.0] || -> SkC10*.
% 0.20/0.49 66[0:MRR:25.0,11.0] || -> SkC9*.
% 0.20/0.49 67[0:MRR:24.0,8.0] || -> SkC7*.
% 0.20/0.49 68[0:MRR:37.0,4.0] || -> p(u)* SkC17.
% 0.20/0.49 69[0:MRR:42.1,1.0] p(u) || -> SkC13*.
% 0.20/0.49 70[0:MRR:36.0,69.0] || -> p(skc55)* SkC13.
% 0.20/0.49 72[0:MRR:70.0,69.0] || -> SkC13*.
% 0.20/0.49 73[0:MRR:41.0,41.1,5.0,19.0] || -> SkC3*.
% 0.20/0.49 74[0:MRR:47.0,47.1,68.0,68.0] || -> SkC17*.
% 0.20/0.49 75[0:MRR:46.0,46.1,46.2,3.0,29.0,29.0] || -> SkC15*.
% 0.20/0.49 76[0:MRR:45.0,45.1,63.0,63.0] || -> SkC12*.
% 0.20/0.49 77[0:MRR:49.0,49.1,49.2,17.0,17.0,16.0] || -> SkC16*.
% 0.20/0.49 78[0:MRR:54.0,54.1,54.2,54.3,23.0,22.0,23.0,22.0] || -> SkC6*.
% 0.20/0.49 79[0:MRR:58.0,58.1,58.2,58.3,7.0,6.0,7.0,6.0] || -> SkC4*.
% 0.20/0.49 80[0:MRR:59.4,59.5,59.7,59.8,59.10,59.11,59.12,59.13,59.14,59.15,59.16,59.17,59.18,73.0,79.0,78.0,67.0,66.0,65.0,64.0,76.0,72.0,62.0,75.0,77.0,74.0] || c SkC0 SkC1 SkC2 SkC5 SkC8* -> .
% 0.20/0.49 81[0:MRR:60.3,60.4,60.6,60.7,60.9,60.10,60.11,60.12,60.13,60.14,60.15,60.16,60.17,73.0,79.0,78.0,67.0,66.0,65.0,64.0,76.0,72.0,62.0,75.0,77.0,74.0] || SkC0 SkC1 SkC2 SkC5 SkC8 -> p(skc33) p(skc32)*.
% 0.20/0.49 82[0:MRR:61.4,61.5,61.7,61.8,61.10,61.11,61.12,61.13,61.14,61.15,61.16,61.17,61.18,61.19,73.0,79.0,78.0,67.0,66.0,65.0,64.0,76.0,72.0,62.0,75.0,77.0,74.0,80.0] p(u) || SkC0 SkC1 SkC2 SkC5 SkC8* -> .
% 0.20/0.49 83[0:MRR:81.5,82.0] || SkC0 SkC1 SkC2 SkC5 SkC8 -> p(skc32)*.
% 0.20/0.49 85[0:MRR:83.5,82.0] || SkC8*+ SkC5 SkC2 SkC1 SkC0 -> .
% 0.20/0.49 105[1:Spt:56.1,56.4] f(u) || -> g(u)*.
% 0.20/0.49 106[1:MRR:53.0,105.1] f(u) || -> SkC2 h(u)*.
% 0.20/0.49 107[1:MRR:51.0,105.1] f(u) || -> SkC0 h(u)*.
% 0.20/0.49 108[2:Spt:85.3] || SkC1*+ -> .
% 0.20/0.49 109[2:MRR:18.0,108.0] || -> r(skc35,skc36)*.
% 0.20/0.49 110[2:MRR:33.1,108.0] || r(skc35,skc35)*+ -> .
% 0.20/0.49 111[2:MRR:48.1,108.0] || r(u,v)*+ -> r(v,u)*.
% 0.20/0.49 112[2:MRR:57.2,108.0] || r(u,v)*+ r(w,u)* -> r(w,v)*.
% 0.20/0.49 118[0:Res:32.0,30.0] || -> g(skc63)* SkC18.
% 0.20/0.49 119[0:Res:31.0,30.0] || -> f(skc63)* SkC18.
% 0.20/0.49 122[0:EmS:39.0,31.0] || -> SkC0 f(skc34)* f(u)*.
% 0.20/0.49 124[0:Con:122.2] || -> SkC0 f(skc34)*.
% 0.20/0.49 126[2:Res:109.0,111.0] || -> r(skc36,skc35)*.
% 0.20/0.49 129[2:Res:126.0,112.0] || r(u,skc36)+ -> r(u,skc35)*.
% 0.20/0.49 133[2:Res:109.0,129.0] || -> r(skc35,skc35)*.
% 0.20/0.49 135[2:MRR:133.0,110.0] || -> .
% 0.20/0.49 136[2:Spt:135.0,85.3,108.0] || -> SkC1*.
% 0.20/0.49 137[2:Spt:135.0,85.0,85.1,85.2,85.4] || SkC8*+ SkC5 SkC2 SkC0 -> .
% 0.20/0.49 138[3:Spt:35.2] || -> p(u)*.
% 0.20/0.49 139[3:MRR:20.0,138.0] || -> SkC5*.
% 0.20/0.49 140[3:MRR:44.1,138.0] q(u) || -> SkC8*.
% 0.20/0.49 141[3:MRR:137.1,139.0] || SkC8* SkC2 SkC0 -> .
% 0.20/0.49 142[3:MRR:10.1,140.0] || -> SkC8*.
% 0.20/0.49 143[3:MRR:141.0,142.0] || SkC2* SkC0 -> .
% 0.20/0.49 144[4:Spt:34.1] || -> SkC2*.
% 0.20/0.49 145[4:MRR:143.0,144.0] || SkC0*+ -> .
% 0.20/0.49 146[4:MRR:124.0,145.0] || -> f(skc34)*.
% 0.20/0.49 147[4:MRR:107.1,145.0] f(u) || -> h(u)*.
% 0.20/0.49 148[4:MRR:43.2,145.0] SkP0(u) || g(skc34)* -> .
% 0.20/0.49 149[5:Spt:30.0] || SkP0(skc63)*+ -> .
% 0.20/0.49 150[5:Res:38.1,149.0] h(skc63) || -> .
% 0.20/0.49 151[5:Res:31.0,149.0] || -> f(skc63)*.
% 0.20/0.49 152[5:Res:32.0,149.0] || -> g(skc63)*.
% 0.20/0.49 153[5:SoR:150.0,147.1] f(skc63) || -> .
% 0.20/0.49 154[5:SSi:153.0,151.0,152.0] || -> .
% 0.20/0.49 155[5:Spt:154.0,30.0,149.0] || -> SkP0(skc63)*.
% 0.20/0.49 156[5:Spt:154.0,30.1] || -> SkC18*.
% 0.20/0.49 157[5:EmS:148.0,155.0] || g(skc34)*+ -> .
% 0.20/0.49 161[5:Res:105.1,157.0] f(skc34) || -> .
% 0.20/0.49 162[5:SSi:161.0,146.0] || -> .
% 0.20/0.49 163[4:Spt:162.0,34.1,144.0] || SkC2*+ -> .
% 0.20/0.49 164[4:Spt:162.0,34.0,34.2] || SkC18+ -> f(skc37)*.
% 0.20/0.49 165[4:MRR:40.2,163.0] || SkC18 g(skc37)* -> .
% 0.20/0.49 166[4:MRR:106.1,163.0] f(u) || -> h(u)*.
% 0.20/0.49 167[5:Spt:30.1] || -> SkC18*.
% 0.20/0.49 168[5:MRR:164.0,167.0] || -> f(skc37)*.
% 0.20/0.49 169[5:MRR:165.0,167.0] || g(skc37)*+ -> .
% 0.20/0.49 170[5:Res:105.1,169.0] f(skc37) || -> .
% 0.20/0.49 171[5:SSi:170.0,168.0] || -> .
% 0.20/0.49 172[5:Spt:171.0,30.1,167.0] || SkC18*+ -> .
% 0.20/0.49 173[5:Spt:171.0,30.0] || SkP0(skc63)*+ -> .
% 0.20/0.49 174[5:MRR:119.1,172.0] || -> f(skc63)*.
% 0.20/0.49 175[5:MRR:118.1,172.0] || -> g(skc63)*.
% 0.20/0.49 176[5:Res:38.1,173.0] h(skc63) || -> .
% 0.20/0.49 179[5:SoR:176.0,166.1] f(skc63) || -> .
% 0.20/0.49 180[5:SSi:179.0,174.0,175.0] || -> .
% 0.20/0.49 181[3:Spt:180.0,35.0,35.1] || -> SkC5 q(u)*.
% 0.20/0.49 182[3:MRR:21.0,181.1] || -> SkC5*.
% 0.20/0.49 183[3:MRR:137.1,182.0] || SkC8* SkC2 SkC0 -> .
% 0.20/0.49 184[4:Spt:34.1] || -> SkC2*.
% 0.20/0.49 185[4:MRR:183.1,184.0] || SkC8* SkC0 -> .
% 0.20/0.49 186[5:Spt:9.0] || -> SkC8*.
% 0.20/0.49 187[5:MRR:185.0,186.0] || SkC0*+ -> .
% 0.20/0.49 188[5:MRR:124.0,187.0] || -> f(skc34)*.
% 0.20/0.49 189[5:MRR:43.2,187.0] SkP0(u) || g(skc34)* -> .
% 0.20/0.49 190[5:MRR:107.1,187.0] f(u) || -> h(u)*.
% 0.20/0.49 191[6:Spt:30.0] || SkP0(skc63)*+ -> .
% 0.20/0.49 192[6:Res:38.1,191.0] h(skc63) || -> .
% 0.20/0.49 193[6:Res:31.0,191.0] || -> f(skc63)*.
% 0.20/0.49 194[6:Res:32.0,191.0] || -> g(skc63)*.
% 0.20/0.49 195[6:SoR:192.0,190.1] f(skc63) || -> .
% 0.20/0.49 196[6:SSi:195.0,193.0,194.0] || -> .
% 0.20/0.49 197[6:Spt:196.0,30.0,191.0] || -> SkP0(skc63)*.
% 0.20/0.49 198[6:Spt:196.0,30.1] || -> SkC18*.
% 0.20/0.49 199[6:EmS:189.0,197.0] || g(skc34)*+ -> .
% 0.20/0.49 203[6:Res:105.1,199.0] f(skc34) || -> .
% 0.20/0.49 204[6:SSi:203.0,188.0] || -> .
% 0.20/0.49 205[5:Spt:204.0,9.0,186.0] || SkC8*+ -> .
% 0.20/0.49 206[5:Spt:204.0,9.1] || -> p(skc49)*.
% 0.20/0.49 207[5:MRR:10.0,205.0] || -> q(skc49)*.
% 0.20/0.49 208[5:MRR:44.2,205.0] q(u) p(v) || -> .
% 0.20/0.49 211[0:Res:38.1,30.0] h(skc63) || -> SkC18*.
% 0.20/0.49 212[0:Res:31.0,30.0] || -> f(skc63)* SkC18.
% 0.20/0.49 214[5:EmS:208.0,207.0] p(u) || -> .
% 0.20/0.49 215[5:UnC:214.0,206.0] || -> .
% 0.20/0.49 216[4:Spt:215.0,34.1,184.0] || SkC2*+ -> .
% 0.20/0.49 217[4:Spt:215.0,34.0,34.2] || SkC18+ -> f(skc37)*.
% 0.20/0.49 218[4:MRR:40.2,216.0] || SkC18 g(skc37)*+ -> .
% 0.20/0.49 219[4:MRR:106.1,216.0] f(u) || -> h(u)*.
% 0.20/0.49 221[5:Spt:218.0] || SkC18*+ -> .
% 0.20/0.49 222[5:MRR:118.1,221.0] || -> g(skc63)*.
% 0.20/0.49 224[5:MRR:211.1,221.0] h(skc63) || -> .
% 0.20/0.49 225[5:MRR:212.1,221.0] || -> f(skc63)*.
% 0.20/0.50 229[5:SoR:224.0,219.1] f(skc63) || -> .
% 0.20/0.50 230[5:SSi:229.0,222.0,225.0] || -> .
% 0.20/0.50 231[5:Spt:230.0,218.0,221.0] || -> SkC18*.
% 0.20/0.50 232[5:Spt:230.0,218.1] || g(skc37)*+ -> .
% 0.20/0.50 233[5:MRR:217.0,231.0] || -> f(skc37)*.
% 0.20/0.50 234[5:Res:105.1,232.0] f(skc37) || -> .
% 0.20/0.50 235[5:MRR:234.0,233.0] || -> .
% 0.20/0.50 236[1:Spt:235.0,56.0,56.2,56.3] f(u) || -> SkC2 h(u)*.
% 0.20/0.50 237[1:MRR:52.0,236.2] f(u) || -> SkC2 g(u)*.
% 0.20/0.50 238[2:Spt:236.0,236.2] f(u) || -> h(u)*.
% 0.20/0.50 239[2:MRR:50.0,238.1] f(u) || -> SkC0 g(u)*.
% 0.20/0.50 240[3:Spt:85.3] || SkC1*+ -> .
% 0.20/0.50 241[3:MRR:18.0,240.0] || -> r(skc35,skc36)*.
% 0.20/0.50 242[3:MRR:33.1,240.0] || r(skc35,skc35)*+ -> .
% 0.20/0.50 243[3:MRR:48.1,240.0] || r(u,v)*+ -> r(v,u)*.
% 0.20/0.50 244[3:MRR:57.2,240.0] || r(u,v)*+ r(w,u)* -> r(w,v)*.
% 0.20/0.50 252[2:SoR:211.0,238.1] f(skc63) || -> SkC18*.
% 0.20/0.50 255[0:EmS:43.0,32.0] || g(skc34)*+ -> SkC0 g(u)*.
% 0.20/0.50 256[0:EmS:43.0,31.0] || g(skc34)* -> SkC0 f(u)*.
% 0.20/0.50 257[0:EmS:43.0,38.1] h(u) || g(skc34)* -> SkC0.
% 0.20/0.50 266[3:Res:241.0,243.0] || -> r(skc36,skc35)*.
% 0.20/0.50 269[3:Res:266.0,244.0] || r(u,skc36)+ -> r(u,skc35)*.
% 0.20/0.50 273[3:Res:241.0,269.0] || -> r(skc35,skc35)*.
% 0.20/0.50 275[3:MRR:273.0,242.0] || -> .
% 0.20/0.50 276[3:Spt:275.0,85.3,240.0] || -> SkC1*.
% 0.20/0.50 277[3:Spt:275.0,85.0,85.1,85.2,85.4] || SkC8*+ SkC5 SkC2 SkC0 -> .
% 0.20/0.50 278[2:MRR:252.0,212.0] || -> SkC18*.
% 0.20/0.50 279[2:MRR:34.0,278.0] || -> SkC2 f(skc37)*.
% 0.20/0.50 280[2:MRR:40.0,278.0] || g(skc37)*+ -> SkC2.
% 0.20/0.50 281[4:Spt:35.2] || -> p(u)*.
% 0.20/0.50 282[4:MRR:20.0,281.0] || -> SkC5*.
% 0.20/0.50 283[4:MRR:44.1,281.0] q(u) || -> SkC8*.
% 0.20/0.50 284[4:MRR:277.1,282.0] || SkC8* SkC2 SkC0 -> .
% 0.20/0.50 285[4:MRR:10.1,283.0] || -> SkC8*.
% 0.20/0.50 286[4:MRR:284.0,285.0] || SkC2* SkC0 -> .
% 0.20/0.50 287[5:Spt:124.0] || -> SkC0*.
% 0.20/0.50 288[5:MRR:286.1,287.0] || SkC2*+ -> .
% 0.20/0.50 289[5:MRR:279.0,288.0] || -> f(skc37)*.
% 0.20/0.50 290[5:MRR:280.1,288.0] || g(skc37)*+ -> .
% 0.20/0.50 291[5:MRR:237.1,288.0] f(u) || -> g(u)*.
% 0.20/0.50 292[5:Res:291.1,290.0] f(skc37) || -> .
% 0.20/0.50 293[5:SSi:292.0,289.0] || -> .
% 0.20/0.50 294[5:Spt:293.0,124.0,287.0] || SkC0*+ -> .
% 0.20/0.50 295[5:Spt:293.0,124.1] || -> f(skc34)*.
% 0.20/0.50 296[5:MRR:256.1,294.0] || g(skc34)*+ -> f(u)*.
% 0.20/0.50 297[5:MRR:255.1,294.0] || g(skc34)*+ -> g(u)*.
% 0.20/0.50 298[5:MRR:239.1,294.0] f(u) || -> g(u)*.
% 0.20/0.50 300[5:MRR:257.2,294.0] h(u) || g(skc34)* -> .
% 0.20/0.50 302[5:Res:298.1,297.0] f(skc34) || -> g(u)*.
% 0.20/0.50 305[5:SSi:302.0,295.0] || -> g(u)*.
% 0.20/0.50 306[5:MRR:296.0,305.0] || -> f(u)*.
% 0.20/0.50 308[5:MRR:300.1,305.0] h(u) || -> .
% 0.20/0.50 309[5:MRR:238.0,306.0] || -> h(u)*.
% 0.20/0.50 312[5:MRR:308.0,309.0] || -> .
% 0.20/0.50 313[4:Spt:312.0,35.0,35.1] || -> SkC5 q(u)*.
% 0.20/0.50 314[4:MRR:21.0,313.1] || -> SkC5*.
% 0.20/0.50 315[4:MRR:277.1,314.0] || SkC8* SkC2 SkC0 -> .
% 0.20/0.50 316[5:Spt:9.0] || -> SkC8*.
% 0.20/0.50 317[5:MRR:315.0,316.0] || SkC2* SkC0 -> .
% 0.20/0.50 318[6:Spt:279.0] || -> SkC2*.
% 0.20/0.50 319[6:MRR:317.0,318.0] || SkC0*+ -> .
% 0.20/0.50 320[6:MRR:124.0,319.0] || -> f(skc34)*.
% 0.20/0.50 321[6:MRR:256.1,319.0] || g(skc34)*+ -> f(u)*.
% 0.20/0.50 322[6:MRR:255.1,319.0] || g(skc34)*+ -> g(u)*.
% 0.20/0.50 323[6:MRR:239.1,319.0] f(u) || -> g(u)*.
% 0.20/0.50 325[6:MRR:257.2,319.0] h(u) || g(skc34)* -> .
% 0.20/0.50 326[6:Res:323.1,322.0] f(skc34) || -> g(u)*.
% 0.20/0.50 328[6:SSi:326.0,320.0] || -> g(u)*.
% 0.20/0.50 329[6:MRR:321.0,328.0] || -> f(u)*.
% 0.20/0.50 331[6:MRR:325.1,328.0] h(u) || -> .
% 0.20/0.50 332[6:MRR:238.0,329.0] || -> h(u)*.
% 0.20/0.50 335[6:MRR:331.0,332.0] || -> .
% 0.20/0.50 336[6:Spt:335.0,279.0,318.0] || SkC2*+ -> .
% 0.20/0.50 337[6:Spt:335.0,279.1] || -> f(skc37)*.
% 0.20/0.50 338[6:MRR:280.1,336.0] || g(skc37)*+ -> .
% 0.20/0.50 339[6:MRR:237.1,336.0] f(u) || -> g(u)*.
% 0.20/0.50 341[6:Res:339.1,338.0] f(skc37) || -> .
% 0.20/0.50 342[6:SSi:341.0,337.0] || -> .
% 0.20/0.50 343[5:Spt:342.0,9.0,316.0] || SkC8*+ -> .
% 0.20/0.50 344[5:Spt:342.0,9.1] || -> p(skc49)*.
% 0.20/0.50 345[5:MRR:10.0,343.0] || -> q(skc49)*.
% 0.20/0.50 346[5:MRR:44.2,343.0] q(u) p(v) || -> .
% 0.20/0.50 349[5:EmS:346.0,345.0] p(u) || -> .
% 0.20/0.50 350[5:UnC:349.0,344.0] || -> .
% 0.20/0.50 351[2:Spt:350.0,236.1] || -> SkC2*.
% 0.20/0.50 352[2:MRR:85.2,351.0] || SkC8* SkC5 SkC1 SkC0 -> .
% 0.20/0.50 353[3:Spt:55.2] || -> SkC0*.
% 0.20/0.50 354[3:MRR:352.3,353.0] || SkC8* SkC5 SkC1 -> .
% 0.20/0.50 355[4:Spt:48.1] || -> SkC1*.
% 0.20/0.50 356[4:MRR:354.2,355.0] || SkC8* SkC5 -> .
% 0.20/0.50 357[5:Spt:10.0] || -> SkC8*.
% 0.20/0.50 358[5:MRR:356.0,357.0] || SkC5*+ -> .
% 0.20/0.50 359[5:MRR:21.1,358.0] || q(skc43)*+ -> .
% 0.20/0.50 360[5:MRR:20.1,358.0] || p(skc43)*+ -> .
% 0.20/0.50 361[5:MRR:35.0,358.0] || -> q(u)* p(v)*.
% 0.20/0.50 367[6:Spt:361.1] || -> p(u)*.
% 0.20/0.50 368[6:UnC:367.0,360.0] || -> .
% 0.20/0.50 369[6:Spt:368.0,361.0] || -> q(u)*.
% 0.20/0.50 370[6:UnC:369.0,359.0] || -> .
% 0.20/0.50 371[5:Spt:370.0,10.0,357.0] || SkC8*+ -> .
% 0.20/0.50 372[5:Spt:370.0,10.1] || -> q(skc49)*.
% 0.20/0.50 373[5:MRR:9.0,371.0] || -> p(skc49)*.
% 0.20/0.50 374[5:MRR:44.2,371.0] q(u) p(v) || -> .
% 0.20/0.50 382[5:EmS:374.0,372.0] p(u) || -> .
% 0.20/0.50 383[5:UnC:382.0,373.0] || -> .
% 0.20/0.50 384[4:Spt:383.0,48.1,355.0] || SkC1*+ -> .
% 0.20/0.50 385[4:Spt:383.0,48.0,48.2] || r(u,v)*+ -> r(v,u)*.
% 0.20/0.50 386[4:MRR:18.0,384.0] || -> r(skc35,skc36)*.
% 0.20/0.50 387[4:MRR:33.1,384.0] || r(skc35,skc35)*+ -> .
% 0.20/0.50 388[4:MRR:57.2,384.0] || r(u,v)*+ r(w,u)* -> r(w,v)*.
% 0.20/0.50 395[4:Res:386.0,385.0] || -> r(skc36,skc35)*.
% 0.20/0.50 401[4:Res:395.0,388.0] || r(u,skc36)+ -> r(u,skc35)*.
% 0.20/0.50 405[4:Res:386.0,401.0] || -> r(skc35,skc35)*.
% 0.20/0.50 407[4:MRR:405.0,387.0] || -> .
% 0.20/0.50 408[3:Spt:407.0,55.2,353.0] || SkC0*+ -> .
% 0.20/0.50 409[3:Spt:407.0,55.0,55.1,55.3,55.4] f(u) f(v) || -> h(u)* g(v)*.
% 0.20/0.50 410[3:MRR:124.0,408.0] || -> f(skc34)*.
% 0.20/0.50 412[3:MRR:256.1,408.0] || g(skc34)*+ -> f(u)*.
% 0.20/0.50 413[3:MRR:257.2,408.0] h(u) || g(skc34)* -> .
% 0.20/0.50 414[3:MRR:43.2,408.0] SkP0(u) || g(skc34)* -> .
% 0.20/0.50 415[3:MRR:51.2,408.0] g(u) f(u) || -> h(u)*.
% 0.20/0.50 416[3:MRR:50.2,408.0] h(u) f(u) || -> g(u)*.
% 0.20/0.50 417[4:Spt:409.0,409.2] f(u) || -> h(u)*.
% 0.20/0.50 418[4:MRR:416.0,417.1] f(u) || -> g(u)*.
% 0.20/0.50 428[4:Res:418.1,412.0] f(skc34) || -> f(u)*.
% 0.20/0.50 430[4:SSi:428.0,410.0] || -> f(u)*.
% 0.20/0.50 431[4:MRR:417.0,430.0] || -> h(u)*.
% 0.20/0.50 432[4:MRR:418.0,430.0] || -> g(u)*.
% 0.20/0.50 433[4:MRR:38.0,431.0] || -> SkP0(u)*.
% 0.20/0.50 435[4:MRR:414.1,432.0] SkP0(u) || -> .
% 0.20/0.50 437[4:MRR:435.0,433.0] || -> .
% 0.20/0.50 438[4:Spt:437.0,409.1,409.3] f(u) || -> g(u)*.
% 0.20/0.50 439[4:MRR:415.0,438.1] f(u) || -> h(u)*.
% 0.20/0.50 451[4:Res:438.1,412.0] f(skc34) || -> f(u)*.
% 0.20/0.50 452[4:SSi:451.0,410.0] || -> f(u)*.
% 0.20/0.50 453[4:MRR:438.0,452.0] || -> g(u)*.
% 0.20/0.50 454[4:MRR:439.0,452.0] || -> h(u)*.
% 0.20/0.50 455[4:MRR:413.1,453.0] h(u) || -> .
% 0.20/0.50 460[4:MRR:455.0,454.0] || -> .
% 0.20/0.50 % SZS output end Refutation
% 0.20/0.50 Formulae used in the proof : prove_this
% 0.20/0.50
%------------------------------------------------------------------------------