TSTP Solution File: SYN036+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 12:17:25 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 20:13:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45
% 0.18/0.45 SPASS V 3.9
% 0.18/0.45 SPASS beiseite: Proof found.
% 0.18/0.45 % SZS status Theorem
% 0.18/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 SPASS derived 109 clauses, backtracked 229 clauses, performed 24 splits and kept 324 clauses.
% 0.18/0.45 SPASS allocated 97726 KBytes.
% 0.18/0.45 SPASS spent 0:00:00.11 on the problem.
% 0.18/0.45 0:00:00.04 for the input.
% 0.18/0.45 0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.45 0:00:00.00 for inferences.
% 0.18/0.45 0:00:00.00 for the backtracking.
% 0.18/0.45 0:00:00.01 for the reduction.
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Here is a proof with depth 2, length 177 :
% 0.18/0.45 % SZS output start Refutation
% 0.18/0.45 1[0:Inp] || SkC2 -> SkC0 SkC3*.
% 0.18/0.45 2[0:Inp] || SkC3* -> SkC0 SkC2.
% 0.18/0.45 3[0:Inp] || SkC0 -> SkC3* SkC2.
% 0.18/0.45 4[0:Inp] || big_q(skc24)*+ -> big_q(u)*.
% 0.18/0.45 5[0:Inp] || big_p(skc16)*+ -> big_p(u)*.
% 0.18/0.45 6[0:Inp] || big_p(skc14)*+ -> big_p(u)*.
% 0.18/0.45 7[0:Inp] || -> SkC1 big_p(u)* big_q(skc21)*.
% 0.18/0.45 8[0:Inp] || -> SkC3 big_q(u)* big_p(skc29).
% 0.18/0.45 9[0:Inp] || SkC0 SkC3* SkC2 -> .
% 0.18/0.45 10[0:Inp] || -> SkC2 big_q(u) big_q(skf5(u))*.
% 0.18/0.45 11[0:Inp] big_p(u) || -> SkC0 SkC1 big_p(skc16)*.
% 0.18/0.45 12[0:Inp] big_q(u) || SkC1 -> big_p(v)*.
% 0.18/0.45 13[0:Inp] || SkC1 big_p(skc19) -> big_q(skc20)*.
% 0.18/0.45 14[0:Inp] big_q(u) || big_p(skc22)* -> SkC1.
% 0.18/0.45 15[0:Inp] big_q(u) || SkC2 -> big_q(skc24)*.
% 0.18/0.45 16[0:Inp] big_p(u) || SkC3 -> big_q(v)*.
% 0.18/0.45 17[0:Inp] || SkC3 big_q(skc27)* -> big_p(skc28).
% 0.18/0.45 18[0:Inp] big_p(u) || big_q(skc30)* -> SkC3.
% 0.18/0.45 19[0:Inp] || SkC0 -> SkC1 big_p(u) big_p(skf3(u))*.
% 0.18/0.45 20[0:Inp] || SkC1 -> SkC0 big_p(u) big_p(skf4(u))*.
% 0.18/0.45 21[0:Inp] big_q(u) || big_q(skf5(u))* -> SkC2.
% 0.18/0.45 22[0:Inp] big_p(u) || SkC0 SkC1 -> big_p(skc14)*.
% 0.18/0.45 23[0:Inp] big_p(u) || SkC0 big_p(skf3(u))* -> SkC1.
% 0.18/0.45 24[0:Inp] big_p(u) || SkC1 big_p(skf4(u))* -> SkC0.
% 0.18/0.45 45[1:Spt:24.3] || -> SkC0*.
% 0.18/0.45 46[1:MRR:3.0,45.0] || -> SkC3* SkC2.
% 0.18/0.45 47[1:MRR:9.0,45.0] || SkC3* SkC2 -> .
% 0.18/0.45 48[1:MRR:19.0,45.0] || -> SkC1 big_p(u) big_p(skf3(u))*.
% 0.18/0.45 49[1:MRR:22.1,45.0] big_p(u) || SkC1 -> big_p(skc14)*.
% 0.18/0.45 50[1:MRR:23.1,45.0] big_p(u) || big_p(skf3(u))* -> SkC1.
% 0.18/0.45 51[2:Spt:7.1] || -> big_p(u)*.
% 0.18/0.45 52[2:MRR:18.0,51.0] || big_q(skc30)* -> SkC3.
% 0.18/0.45 53[2:MRR:16.0,51.0] || SkC3 -> big_q(u)*.
% 0.18/0.45 54[2:MRR:50.1,50.0,51.0] || -> SkC1*.
% 0.18/0.45 56[2:MRR:13.1,51.0] || SkC1 -> big_q(skc20)*.
% 0.18/0.45 57[2:MRR:56.0,54.0] || -> big_q(skc20)*.
% 0.18/0.45 58[3:Spt:4.1] || -> big_q(u)*.
% 0.18/0.45 59[3:MRR:21.1,21.0,58.0] || -> SkC2*.
% 0.18/0.45 60[3:MRR:52.0,58.0] || -> SkC3*.
% 0.18/0.45 61[3:MRR:47.1,59.0] || SkC3* -> .
% 0.18/0.45 62[3:MRR:61.0,60.0] || -> .
% 0.18/0.45 63[3:Spt:62.0,4.0] || big_q(skc24)* -> .
% 0.18/0.45 64[3:MRR:15.2,63.0] big_q(u) || SkC2* -> .
% 0.18/0.45 67[4:Spt:46.0] || -> SkC3*.
% 0.18/0.45 68[4:MRR:53.0,67.0] || -> big_q(u)*.
% 0.18/0.45 70[4:UnC:68.0,63.0] || -> .
% 0.18/0.45 71[4:Spt:70.0,46.0,67.0] || SkC3* -> .
% 0.18/0.45 72[4:Spt:70.0,46.1] || -> SkC2*.
% 0.18/0.45 74[4:MRR:64.1,72.0] big_q(u) || -> .
% 0.18/0.45 75[4:UnC:74.0,57.0] || -> .
% 0.18/0.45 76[2:Spt:75.0,7.0,7.2] || -> SkC1 big_q(skc21)*.
% 0.18/0.45 77[3:Spt:76.0] || -> SkC1*.
% 0.18/0.45 78[3:MRR:49.1,77.0] big_p(u) || -> big_p(skc14)*.
% 0.18/0.45 79[3:MRR:12.1,77.0] big_q(u) || -> big_p(v)*.
% 0.18/0.45 80[3:MRR:13.0,77.0] || big_p(skc19) -> big_q(skc20)*.
% 0.18/0.45 81[3:MRR:8.1,79.0] || -> SkC3 big_p(skc29)*.
% 0.18/0.45 82[4:Spt:6.1] || -> big_p(u)*.
% 0.18/0.45 83[4:MRR:16.0,82.0] || SkC3 -> big_q(u)*.
% 0.18/0.45 84[4:MRR:18.0,82.0] || big_q(skc30)* -> SkC3.
% 0.18/0.45 85[4:MRR:80.0,82.0] || -> big_q(skc20)*.
% 0.18/0.45 86[5:Spt:4.1] || -> big_q(u)*.
% 0.18/0.46 87[5:MRR:21.1,21.0,86.0] || -> SkC2*.
% 0.18/0.46 88[5:MRR:84.0,86.0] || -> SkC3*.
% 0.18/0.46 89[5:MRR:47.1,87.0] || SkC3* -> .
% 0.18/0.46 90[5:MRR:89.0,88.0] || -> .
% 0.18/0.46 91[5:Spt:90.0,4.0] || big_q(skc24)* -> .
% 0.18/0.46 92[5:MRR:15.2,91.0] big_q(u) || SkC2* -> .
% 0.18/0.46 95[6:Spt:46.0] || -> SkC3*.
% 0.18/0.46 96[6:MRR:83.0,95.0] || -> big_q(u)*.
% 0.18/0.46 98[6:UnC:96.0,91.0] || -> .
% 0.18/0.46 99[6:Spt:98.0,46.0,95.0] || SkC3* -> .
% 0.18/0.46 100[6:Spt:98.0,46.1] || -> SkC2*.
% 0.18/0.46 102[6:MRR:92.1,100.0] big_q(u) || -> .
% 0.18/0.46 103[6:UnC:102.0,85.0] || -> .
% 0.18/0.46 104[4:Spt:103.0,6.0] || big_p(skc14)* -> .
% 0.18/0.46 105[4:MRR:78.1,104.0] big_p(u) || -> .
% 0.18/0.46 106[4:MRR:81.1,105.0] || -> SkC3*.
% 0.18/0.46 107[4:MRR:47.0,106.0] || SkC2* -> .
% 0.18/0.46 109[4:MRR:79.1,105.0] big_q(u) || -> .
% 0.18/0.46 112[4:MRR:10.0,10.1,10.2,107.0,109.0,109.0] || -> .
% 0.18/0.46 114[3:Spt:112.0,76.0,77.0] || SkC1* -> .
% 0.18/0.46 115[3:Spt:112.0,76.1] || -> big_q(skc21)*.
% 0.18/0.46 116[3:MRR:48.0,114.0] || -> big_p(u) big_p(skf3(u))*.
% 0.18/0.46 117[3:MRR:14.2,114.0] big_q(u) || big_p(skc22)* -> .
% 0.18/0.46 119[4:Spt:5.1] || -> big_p(u)*.
% 0.18/0.46 123[4:MRR:117.1,119.0] big_q(u) || -> .
% 0.18/0.46 124[4:UnC:123.0,115.0] || -> .
% 0.18/0.46 125[4:Spt:124.0,5.0] || big_p(skc16)* -> .
% 0.18/0.46 126[5:Spt:6.1] || -> big_p(u)*.
% 0.18/0.46 127[5:UnC:126.0,125.0] || -> .
% 0.18/0.46 128[5:Spt:127.0,6.0] || big_p(skc14)* -> .
% 0.18/0.46 129[6:Spt:4.1] || -> big_q(u)*.
% 0.18/0.46 130[6:MRR:21.1,21.0,129.0] || -> SkC2*.
% 0.18/0.46 133[6:MRR:18.1,129.0] big_p(u) || -> SkC3*.
% 0.18/0.46 134[6:MRR:47.1,130.0] || SkC3* -> .
% 0.18/0.46 135[6:MRR:133.1,134.0] big_p(u) || -> .
% 0.18/0.46 136[6:MRR:116.1,116.0,135.0] || -> .
% 0.18/0.46 137[6:Spt:136.0,4.0] || big_q(skc24)* -> .
% 0.18/0.46 138[6:MRR:15.2,137.0] big_q(u) || SkC2* -> .
% 0.18/0.46 140[7:Spt:8.1] || -> big_q(u)*.
% 0.18/0.46 141[7:UnC:140.0,137.0] || -> .
% 0.18/0.46 142[7:Spt:141.0,8.0,8.2] || -> SkC3 big_p(skc29)*.
% 0.18/0.46 143[8:Spt:142.0] || -> SkC3*.
% 0.18/0.46 145[8:MRR:16.1,143.0] big_p(u) || -> big_q(v)*.
% 0.18/0.46 148[8:EmS:145.0,116.1] || -> big_q(u)* big_p(v)*.
% 0.18/0.46 149[8:MRR:148.1,145.0] || -> big_q(u)*.
% 0.18/0.46 150[8:UnC:149.0,137.0] || -> .
% 0.18/0.46 151[8:Spt:150.0,142.0,143.0] || SkC3* -> .
% 0.18/0.46 152[8:Spt:150.0,142.1] || -> big_p(skc29)*.
% 0.18/0.46 153[8:MRR:46.0,151.0] || -> SkC2*.
% 0.18/0.46 154[8:MRR:138.1,153.0] big_q(u) || -> .
% 0.18/0.46 155[8:UnC:154.0,115.0] || -> .
% 0.18/0.46 157[1:Spt:155.0,24.3,45.0] || SkC0* -> .
% 0.18/0.46 158[1:Spt:155.0,24.0,24.1,24.2] big_p(u) || SkC1 big_p(skf4(u))* -> .
% 0.18/0.46 159[1:MRR:2.1,157.0] || SkC3* -> SkC2.
% 0.18/0.46 160[1:MRR:1.1,157.0] || SkC2 -> SkC3*.
% 0.18/0.46 161[1:MRR:11.1,157.0] big_p(u) || -> SkC1 big_p(skc16)*.
% 0.18/0.46 162[1:MRR:20.1,157.0] || SkC1 -> big_p(u) big_p(skf4(u))*.
% 0.18/0.46 163[2:Spt:6.1] || -> big_p(u)*.
% 0.18/0.46 164[2:MRR:158.2,158.0,163.0] || SkC1* -> .
% 0.18/0.46 166[2:MRR:16.0,163.0] || SkC3 -> big_q(u)*.
% 0.18/0.46 167[2:MRR:14.1,163.0] big_q(u) || -> SkC1*.
% 0.18/0.46 169[2:MRR:167.1,164.0] big_q(u) || -> .
% 0.18/0.46 171[2:MRR:10.2,10.1,169.0] || -> SkC2*.
% 0.18/0.46 172[2:MRR:166.1,169.0] || SkC3* -> .
% 0.18/0.46 173[2:MRR:160.0,171.0] || -> SkC3*.
% 0.18/0.46 174[2:MRR:172.0,173.0] || -> .
% 0.18/0.46 175[2:Spt:174.0,6.0] || big_p(skc14)* -> .
% 0.18/0.46 176[3:Spt:5.1] || -> big_p(u)*.
% 0.18/0.46 177[3:UnC:176.0,175.0] || -> .
% 0.18/0.46 178[3:Spt:177.0,5.0] || big_p(skc16)* -> .
% 0.18/0.46 179[3:MRR:161.2,178.0] big_p(u) || -> SkC1*.
% 0.18/0.46 180[3:MRR:7.1,179.0] || -> SkC1 big_q(skc21)*.
% 0.18/0.46 182[4:Spt:8.1] || -> big_q(u)*.
% 0.18/0.46 183[4:MRR:12.0,182.0] || SkC1 -> big_p(u)*.
% 0.18/0.46 185[4:MRR:21.1,21.0,182.0] || -> SkC2*.
% 0.18/0.46 186[4:MRR:17.1,182.0] || SkC3 -> big_p(skc28)*.
% 0.18/0.46 188[4:MRR:160.0,185.0] || -> SkC3*.
% 0.18/0.46 189[4:MRR:186.0,188.0] || -> big_p(skc28)*.
% 0.18/0.46 191[4:EmS:179.0,189.0] || -> SkC1*.
% 0.18/0.46 192[4:MRR:183.0,191.0] || -> big_p(u)*.
% 0.18/0.46 196[4:UnC:192.0,178.0] || -> .
% 0.18/0.46 197[4:Spt:196.0,8.0,8.2] || -> SkC3 big_p(skc29)*.
% 0.18/0.46 198[5:Spt:197.0] || -> SkC3*.
% 0.18/0.46 199[5:MRR:159.0,198.0] || -> SkC2*.
% 0.18/0.46 200[5:MRR:16.1,198.0] big_p(u) || -> big_q(v)*.
% 0.18/0.46 201[5:MRR:17.0,198.0] || big_q(skc27)* -> big_p(skc28).
% 0.18/0.46 202[5:MRR:15.1,199.0] big_q(u) || -> big_q(skc24)*.
% 0.18/0.46 203[6:Spt:4.1] || -> big_q(u)*.
% 0.18/0.46 205[6:MRR:12.0,203.0] || SkC1 -> big_p(u)*.
% 0.18/0.46 206[6:MRR:201.0,203.0] || -> big_p(skc28)*.
% 0.18/0.46 208[6:EmS:179.0,206.0] || -> SkC1*.
% 0.18/0.46 209[6:MRR:205.0,208.0] || -> big_p(u)*.
% 0.18/0.46 213[6:UnC:209.0,178.0] || -> .
% 0.18/0.46 214[6:Spt:213.0,4.0] || big_q(skc24)* -> .
% 0.18/0.46 215[6:MRR:202.1,214.0] big_q(u) || -> .
% 0.18/0.46 216[6:MRR:180.1,215.0] || -> SkC1*.
% 0.18/0.46 217[6:MRR:200.1,215.0] big_p(u) || -> .
% 0.18/0.46 220[6:MRR:162.0,162.1,162.2,216.0,217.0,217.0] || -> .
% 0.18/0.46 221[5:Spt:220.0,197.0,198.0] || SkC3* -> .
% 0.18/0.46 222[5:Spt:220.0,197.1] || -> big_p(skc29)*.
% 0.18/0.46 223[5:MRR:160.1,221.0] || SkC2* -> .
% 0.18/0.46 224[5:MRR:10.0,223.0] || -> big_q(u) big_q(skf5(u))*.
% 0.18/0.46 225[5:MRR:18.2,221.0] big_p(u) || big_q(skc30)* -> .
% 0.18/0.46 227[6:Spt:4.1] || -> big_q(u)*.
% 0.18/0.46 231[6:MRR:225.1,227.0] big_p(u) || -> .
% 0.18/0.46 232[6:UnC:231.0,222.0] || -> .
% 0.18/0.46 233[6:Spt:232.0,4.0] || big_q(skc24)* -> .
% 0.18/0.46 234[7:Spt:13.0] || SkC1* -> .
% 0.18/0.46 235[7:MRR:179.1,234.0] big_p(u) || -> .
% 0.18/0.46 238[7:UnC:235.0,222.0] || -> .
% 0.18/0.46 239[7:Spt:238.0,13.0,234.0] || -> SkC1*.
% 0.18/0.46 240[7:Spt:238.0,13.1,13.2] || big_p(skc19) -> big_q(skc20)*.
% 0.18/0.46 241[7:MRR:12.1,239.0] big_q(u) || -> big_p(v)*.
% 0.18/0.46 243[7:EmS:241.0,224.1] || -> big_p(u)* big_q(v)*.
% 0.18/0.46 245[7:MRR:243.1,241.0] || -> big_p(u)*.
% 0.18/0.46 246[7:UnC:245.0,178.0] || -> .
% 0.18/0.46 % SZS output end Refutation
% 0.18/0.46 Formulae used in the proof : pel34
% 0.18/0.46
%------------------------------------------------------------------------------