TSTP Solution File: HWV003-3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% 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 : Sat Jul 16 19:14:39 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 21:06:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 124 clauses, backtracked 279 clauses, performed 7 splits and kept 387 clauses.
% 0.20/0.42 SPASS allocated 63176 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.20/0.42 0:00:00.04 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.01 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 1, length 234 :
% 0.20/0.42 % SZS output start Refutation
% 0.20/0.42 1[0:Inp] || -> a a11*.
% 0.20/0.42 2[0:Inp] || -> b a11*.
% 0.20/0.42 3[0:Inp] || b a a11* -> .
% 0.20/0.42 4[0:Inp] || -> a* a12.
% 0.20/0.42 5[0:Inp] || -> a11* a12.
% 0.20/0.42 6[0:Inp] || a11* a a12 -> .
% 0.20/0.42 7[0:Inp] || -> b* a13.
% 0.20/0.42 8[0:Inp] || -> a11* a13.
% 0.20/0.42 9[0:Inp] || a11* b a13 -> .
% 0.20/0.42 10[0:Inp] || -> a12* a14.
% 0.20/0.42 11[0:Inp] || -> a13* a14.
% 0.20/0.42 12[0:Inp] || a13 a12* a14 -> .
% 0.20/0.42 13[0:Inp] || -> a14* a15.
% 0.20/0.42 14[0:Inp] || -> cI* a15.
% 0.20/0.42 15[0:Inp] || cI* a14 a15 -> .
% 0.20/0.42 16[0:Inp] || -> a14* a16.
% 0.20/0.42 17[0:Inp] || -> a15* a16.
% 0.20/0.42 18[0:Inp] || a15 a14* a16 -> .
% 0.20/0.42 19[0:Inp] || -> a15* a17.
% 0.20/0.42 20[0:Inp] || -> cI* a17.
% 0.20/0.42 21[0:Inp] || cI* a15 a17 -> .
% 0.20/0.42 22[0:Inp] || -> a16 s1*.
% 0.20/0.42 23[0:Inp] || -> a17 s1*.
% 0.20/0.42 24[0:Inp] || a17 a16 s1* -> .
% 0.20/0.42 25[0:Inp] || -> a15 c1*.
% 0.20/0.42 26[0:Inp] || -> a11* c1.
% 0.20/0.42 27[0:Inp] || a11* a15 c1 -> .
% 0.20/0.42 28[0:Inp] || b -> a a21*.
% 0.20/0.42 29[0:Inp] || a -> b a21*.
% 0.20/0.42 30[0:Inp] || a21* -> b a.
% 0.20/0.42 31[0:Inp] || b a a21* -> .
% 0.20/0.42 32[0:Inp] || a22* -> cI.
% 0.20/0.42 33[0:Inp] || a22 -> a23*.
% 0.20/0.42 34[0:Inp] || a23* cI -> a22.
% 0.20/0.42 35[0:Inp] || a -> a23*.
% 0.20/0.42 36[0:Inp] || b -> a23*.
% 0.20/0.42 37[0:Inp] || a23*+ -> b a.
% 0.20/0.42 38[0:Inp] || -> cI a24*.
% 0.20/0.42 40[0:Inp] || a25* -> a.
% 0.20/0.42 41[0:Inp] || a25* -> b.
% 0.20/0.42 42[0:Inp] || b a -> a25*.
% 0.20/0.42 44[0:Inp] || a26* -> a25.
% 0.20/0.42 45[0:Inp] || a25 a24 -> a26*.
% 0.20/0.42 46[0:Inp] || a21 -> cI s2*.
% 0.20/0.42 47[0:Inp] || cI -> a21 s2*.
% 0.20/0.42 48[0:Inp] || s2* -> a21 cI.
% 0.20/0.42 49[0:Inp] || a21 cI s2* -> .
% 0.20/0.42 50[0:Inp] || a22 -> c2*.
% 0.20/0.42 51[0:Inp] || a26 -> c2*.
% 0.20/0.42 52[0:Inp] || c2* -> a26 a22.
% 0.20/0.42 55[0:Inp] || conjline18* -> s2 s1.
% 0.20/0.42 56[0:Inp] || s2 s1 conjline18* -> .
% 0.20/0.42 59[0:Inp] || conjline19* -> c2 c1.
% 0.20/0.42 60[0:Inp] || c2 c1 conjline19* -> .
% 0.20/0.42 61[0:Inp] || -> conjline19* conjline18.
% 0.20/0.42 62[1:Spt:37.1] || -> b*.
% 0.20/0.42 63[1:MRR:36.0,62.0] || -> a23*.
% 0.20/0.42 64[1:MRR:28.0,62.0] || -> a a21*.
% 0.20/0.42 65[1:MRR:42.0,62.0] || a -> a25*.
% 0.20/0.42 66[1:MRR:31.0,62.0] || a a21* -> .
% 0.20/0.42 67[1:MRR:9.1,62.0] || a11* a13 -> .
% 0.20/0.42 68[1:MRR:3.0,62.0] || a a11* -> .
% 0.20/0.42 69[1:MRR:34.0,63.0] || cI -> a22*.
% 0.20/0.42 70[2:Spt:14.0] || -> cI*.
% 0.20/0.42 71[2:MRR:47.0,70.0] || -> a21 s2*.
% 0.20/0.42 73[2:MRR:49.1,70.0] || a21 s2* -> .
% 0.20/0.42 74[2:MRR:21.0,70.0] || a15* a17 -> .
% 0.20/0.42 75[2:MRR:15.0,70.0] || a14* a15 -> .
% 0.20/0.42 76[2:MRR:69.0,70.0] || -> a22*.
% 0.20/0.42 77[2:MRR:50.0,76.0] || -> c2*.
% 0.20/0.42 79[2:MRR:60.0,77.0] || c1 conjline19* -> .
% 0.20/0.42 81[3:Spt:1.0] || -> a*.
% 0.20/0.42 83[3:MRR:66.0,81.0] || a21* -> .
% 0.20/0.42 84[3:MRR:68.0,81.0] || a11* -> .
% 0.20/0.42 85[3:MRR:71.0,83.0] || -> s2*.
% 0.20/0.42 87[3:MRR:56.0,85.0] || s1 conjline18* -> .
% 0.20/0.42 88[3:MRR:26.0,84.0] || -> c1*.
% 0.20/0.42 89[3:MRR:8.0,84.0] || -> a13*.
% 0.20/0.42 90[3:MRR:5.0,84.0] || -> a12*.
% 0.20/0.42 91[3:MRR:79.0,88.0] || conjline19* -> .
% 0.20/0.42 92[3:MRR:12.0,89.0] || a12* a14 -> .
% 0.20/0.42 93[3:MRR:61.0,91.0] || -> conjline18*.
% 0.20/0.42 94[3:MRR:87.1,93.0] || s1* -> .
% 0.20/0.42 95[3:MRR:23.1,94.0] || -> a17*.
% 0.20/0.42 97[3:MRR:74.1,95.0] || a15* -> .
% 0.20/0.42 98[3:MRR:13.1,97.0] || -> a14*.
% 0.20/0.42 99[3:MRR:92.0,92.1,90.0,98.0] || -> .
% 0.20/0.42 100[3:Spt:99.0,1.0,81.0] || a* -> .
% 0.20/0.42 101[3:Spt:99.0,1.1] || -> a11*.
% 0.20/0.42 103[3:MRR:64.0,100.0] || -> a21*.
% 0.20/0.42 105[3:MRR:73.0,103.0] || s2* -> .
% 0.20/0.42 106[3:MRR:55.1,105.0] || conjline18* -> s1.
% 0.20/0.42 108[3:MRR:67.0,101.0] || a13* -> .
% 0.20/0.42 109[3:MRR:11.0,108.0] || -> a14*.
% 0.20/0.42 110[3:MRR:75.0,109.0] || a15* -> .
% 0.20/0.42 111[3:MRR:25.0,110.0] || -> c1*.
% 0.20/0.42 112[3:MRR:19.0,110.0] || -> a17*.
% 0.20/0.42 113[3:MRR:17.0,110.0] || -> a16*.
% 0.20/0.42 114[3:MRR:79.0,111.0] || conjline19* -> .
% 0.20/0.42 115[3:MRR:61.0,114.0] || -> conjline18*.
% 0.20/0.42 116[3:MRR:106.0,115.0] || -> s1*.
% 0.20/0.42 117[3:MRR:24.0,24.1,24.2,112.0,113.0,116.0] || -> .
% 0.20/0.42 118[2:Spt:117.0,14.0,70.0] || cI* -> .
% 0.20/0.42 119[2:Spt:117.0,14.1] || -> a15*.
% 0.20/0.42 120[2:MRR:38.0,118.0] || -> a24*.
% 0.20/0.42 121[2:MRR:20.0,118.0] || -> a17*.
% 0.20/0.42 122[2:MRR:32.1,118.0] || a22* -> .
% 0.20/0.42 123[2:MRR:48.2,118.0] || s2* -> a21.
% 0.20/0.42 124[2:MRR:46.1,118.0] || a21 -> s2*.
% 0.20/0.42 125[2:MRR:52.2,122.0] || c2* -> a26.
% 0.20/0.42 126[2:MRR:45.1,120.0] || a25 -> a26*.
% 0.20/0.42 127[2:MRR:27.1,119.0] || a11* c1 -> .
% 0.20/0.42 128[2:MRR:24.0,121.0] || a16 s1* -> .
% 0.20/0.42 129[2:MRR:18.0,119.0] || a14* a16 -> .
% 0.20/0.42 130[3:Spt:1.0] || -> a*.
% 0.20/0.42 131[3:MRR:65.0,130.0] || -> a25*.
% 0.20/0.42 132[3:MRR:68.0,130.0] || a11* -> .
% 0.20/0.42 133[3:MRR:66.0,130.0] || a21* -> .
% 0.20/0.42 134[3:MRR:126.0,131.0] || -> a26*.
% 0.20/0.42 135[3:MRR:51.0,134.0] || -> c2*.
% 0.20/0.42 137[3:MRR:60.0,135.0] || c1 conjline19* -> .
% 0.20/0.42 138[3:MRR:5.0,132.0] || -> a12*.
% 0.20/0.42 139[3:MRR:8.0,132.0] || -> a13*.
% 0.20/0.42 140[3:MRR:26.0,132.0] || -> c1*.
% 0.20/0.42 141[3:MRR:12.1,138.0] || a13* a14 -> .
% 0.20/0.42 142[3:MRR:123.1,133.0] || s2* -> .
% 0.20/0.42 143[3:MRR:55.1,142.0] || conjline18* -> s1.
% 0.20/0.42 145[3:MRR:137.0,140.0] || conjline19* -> .
% 0.20/0.42 146[3:MRR:61.0,145.0] || -> conjline18*.
% 0.20/0.42 147[3:MRR:143.0,146.0] || -> s1*.
% 0.20/0.42 148[3:MRR:128.1,147.0] || a16* -> .
% 0.20/0.42 149[3:MRR:16.1,148.0] || -> a14*.
% 0.20/0.42 150[3:MRR:141.0,141.1,139.0,149.0] || -> .
% 0.20/0.42 151[3:Spt:150.0,1.0,130.0] || a* -> .
% 0.20/0.42 152[3:Spt:150.0,1.1] || -> a11*.
% 0.20/0.42 153[3:MRR:64.0,151.0] || -> a21*.
% 0.20/0.42 155[3:MRR:40.1,151.0] || a25* -> .
% 0.20/0.42 156[3:MRR:44.1,155.0] || a26* -> .
% 0.20/0.42 157[3:MRR:125.1,156.0] || c2* -> .
% 0.20/0.42 158[3:MRR:124.0,153.0] || -> s2*.
% 0.20/0.42 159[3:MRR:59.1,157.0] || conjline19* -> c1.
% 0.20/0.42 161[3:MRR:67.0,152.0] || a13* -> .
% 0.20/0.42 162[3:MRR:11.0,161.0] || -> a14*.
% 0.20/0.42 163[3:MRR:127.0,152.0] || c1* -> .
% 0.20/0.42 164[3:MRR:159.1,163.0] || conjline19* -> .
% 0.20/0.42 165[3:MRR:61.0,164.0] || -> conjline18*.
% 0.20/0.42 166[3:MRR:129.0,162.0] || a16* -> .
% 0.20/0.42 167[3:MRR:22.0,166.0] || -> s1*.
% 0.20/0.42 168[3:MRR:56.0,56.1,56.2,158.0,167.0,165.0] || -> .
% 0.20/0.42 169[1:Spt:168.0,37.1,62.0] || b* -> .
% 0.20/0.42 170[1:Spt:168.0,37.0,37.2] || a23*+ -> a.
% 0.20/0.42 171[1:MRR:7.0,169.0] || -> a13*.
% 0.20/0.42 172[1:MRR:2.0,169.0] || -> a11*.
% 0.20/0.42 173[1:MRR:41.1,169.0] || a25* -> .
% 0.20/0.42 174[1:MRR:44.1,173.0] || a26* -> .
% 0.20/0.42 175[1:MRR:52.1,174.0] || c2* -> a22.
% 0.20/0.42 176[1:MRR:30.1,169.0] || a21* -> a.
% 0.20/0.42 177[1:MRR:29.1,169.0] || a -> a21*.
% 0.20/0.42 178[1:MRR:12.0,171.0] || a12* a14 -> .
% 0.20/0.42 179[1:MRR:27.0,172.0] || a15 c1* -> .
% 0.20/0.42 180[1:MRR:6.0,172.0] || a* a12 -> .
% 0.20/0.42 181[2:Spt:14.0] || -> cI*.
% 0.20/0.42 183[2:MRR:47.0,181.0] || -> a21 s2*.
% 0.20/0.42 184[2:MRR:34.1,181.0] || a23* -> a22.
% 0.20/0.42 185[2:MRR:15.0,181.0] || a14* a15 -> .
% 0.20/0.42 186[2:MRR:21.0,181.0] || a15* a17 -> .
% 0.20/0.42 187[2:MRR:49.1,181.0] || a21 s2* -> .
% 0.20/0.42 188[3:Spt:4.0] || -> a*.
% 0.20/0.42 189[3:MRR:35.0,188.0] || -> a23*.
% 0.20/0.42 190[3:MRR:177.0,188.0] || -> a21*.
% 0.20/0.42 191[3:MRR:180.0,188.0] || a12* -> .
% 0.20/0.42 192[3:MRR:184.0,189.0] || -> a22*.
% 0.20/0.42 193[3:MRR:187.0,190.0] || s2* -> .
% 0.20/0.42 194[3:MRR:50.0,192.0] || -> c2*.
% 0.20/0.42 196[3:MRR:60.0,194.0] || c1 conjline19* -> .
% 0.20/0.42 197[3:MRR:10.0,191.0] || -> a14*.
% 0.20/0.42 198[3:MRR:185.0,197.0] || a15* -> .
% 0.20/0.42 200[3:MRR:55.1,193.0] || conjline18* -> s1.
% 0.20/0.42 201[3:MRR:17.0,198.0] || -> a16*.
% 0.20/0.42 202[3:MRR:19.0,198.0] || -> a17*.
% 0.20/0.42 203[3:MRR:25.0,198.0] || -> c1*.
% 0.20/0.42 204[3:MRR:24.1,201.0] || a17 s1* -> .
% 0.20/0.42 205[3:MRR:196.0,203.0] || conjline19* -> .
% 0.20/0.42 206[3:MRR:61.0,205.0] || -> conjline18*.
% 0.20/0.42 207[3:MRR:200.0,206.0] || -> s1*.
% 0.20/0.42 208[3:MRR:204.0,204.1,202.0,207.0] || -> .
% 0.20/0.42 209[3:Spt:208.0,4.0,188.0] || a* -> .
% 0.20/0.42 210[3:Spt:208.0,4.1] || -> a12*.
% 0.20/0.42 211[3:MRR:170.1,209.0] || a23* -> .
% 0.20/0.42 212[3:MRR:176.1,209.0] || a21* -> .
% 0.20/0.42 213[3:MRR:183.0,212.0] || -> s2*.
% 0.20/0.42 214[3:MRR:33.1,211.0] || a22* -> .
% 0.20/0.42 215[3:MRR:175.1,214.0] || c2* -> .
% 0.20/0.42 216[3:MRR:59.1,215.0] || conjline19* -> c1.
% 0.20/0.42 218[3:MRR:178.0,210.0] || a14* -> .
% 0.20/0.42 220[3:MRR:13.0,218.0] || -> a15*.
% 0.20/0.42 222[3:MRR:179.0,220.0] || c1* -> .
% 0.20/0.42 223[3:MRR:216.1,222.0] || conjline19* -> .
% 0.20/0.42 224[3:MRR:61.0,223.0] || -> conjline18*.
% 0.20/0.42 225[3:MRR:186.0,220.0] || a17* -> .
% 0.20/0.42 226[3:MRR:23.0,225.0] || -> s1*.
% 0.20/0.42 227[3:MRR:56.0,56.1,56.2,213.0,226.0,224.0] || -> .
% 0.20/0.42 228[2:Spt:227.0,14.0,181.0] || cI* -> .
% 0.20/0.42 229[2:Spt:227.0,14.1] || -> a15*.
% 0.20/0.42 230[2:MRR:20.0,228.0] || -> a17*.
% 0.20/0.42 232[2:MRR:32.1,228.0] || a22* -> .
% 0.20/0.42 233[2:MRR:175.1,232.0] || c2* -> .
% 0.20/0.42 234[2:MRR:59.1,233.0] || conjline19* -> c1.
% 0.20/0.42 236[2:MRR:179.0,229.0] || c1* -> .
% 0.20/0.42 237[2:MRR:234.1,236.0] || conjline19* -> .
% 0.20/0.42 238[2:MRR:61.0,237.0] || -> conjline18*.
% 0.20/0.42 239[2:MRR:55.0,238.0] || -> s2* s1.
% 0.20/0.42 240[2:MRR:48.2,228.0] || s2* -> a21.
% 0.20/0.42 241[2:MRR:46.1,228.0] || a21 -> s2*.
% 0.20/0.42 242[2:MRR:56.2,238.0] || s2* s1 -> .
% 0.20/0.42 243[2:MRR:24.0,230.0] || a16 s1* -> .
% 0.20/0.42 244[2:MRR:18.0,229.0] || a14* a16 -> .
% 0.20/0.42 245[3:Spt:4.0] || -> a*.
% 0.20/0.42 246[3:MRR:177.0,245.0] || -> a21*.
% 0.20/0.42 248[3:MRR:180.0,245.0] || a12* -> .
% 0.20/0.42 249[3:MRR:241.0,246.0] || -> s2*.
% 0.20/0.42 250[3:MRR:242.0,249.0] || s1* -> .
% 0.20/0.42 251[3:MRR:10.0,248.0] || -> a14*.
% 0.20/0.43 252[3:MRR:244.0,251.0] || a16* -> .
% 0.20/0.43 253[3:MRR:22.1,250.0] || -> a16*.
% 0.20/0.43 254[3:MRR:252.0,253.0] || -> .
% 0.20/0.43 255[3:Spt:254.0,4.0,245.0] || a* -> .
% 0.20/0.43 256[3:Spt:254.0,4.1] || -> a12*.
% 0.20/0.43 258[3:MRR:176.1,255.0] || a21* -> .
% 0.20/0.43 259[3:MRR:240.1,258.0] || s2* -> .
% 0.20/0.43 260[3:MRR:239.0,259.0] || -> s1*.
% 0.20/0.43 261[3:MRR:178.0,256.0] || a14* -> .
% 0.20/0.43 262[3:MRR:16.0,261.0] || -> a16*.
% 0.20/0.43 263[3:MRR:243.0,243.1,262.0,260.0] || -> .
% 0.20/0.43 % SZS output end Refutation
% 0.20/0.43 Formulae used in the proof : clause_1A clause_1B clause_1C clause_2A clause_2B clause_2C clause_3A clause_3B clause_3C clause_4A clause_4B clause_4C clause_5A clause_5B clause_5C clause_6A clause_6B clause_6C clause_7A clause_7B clause_7C clause_8A clause_8B clause_8C clause_9A clause_9B clause_9C clause_10A clause_10B clause_10C clause_10D clause_11A clause_11B clause_11C clause_12A clause_12B clause_12C clause_13A clause_14A clause_14B clause_14C clause_15B clause_15C clause_16A clause_16B clause_16C clause_16D clause_17A clause_17B clause_17C clause_18C clause_18D clause_19C clause_19D clause_20
% 0.20/0.43
%------------------------------------------------------------------------------