TSTP Solution File: SYN036+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN036+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 12:17:24 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN036+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 11:37:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 59 clauses, backtracked 108 clauses, performed 12 splits and kept 169 clauses.
% 0.19/0.46 SPASS allocated 97871 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.00 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 1, length 121 :
% 0.19/0.46 % SZS output start Refutation
% 0.19/0.46 1[0:Inp] || -> SkC1 big_q(skc21)*.
% 0.19/0.46 2[0:Inp] || -> SkC3 big_p(skc29)*.
% 0.19/0.46 3[0:Inp] || SkC2 -> SkC0 SkC3*.
% 0.19/0.46 4[0:Inp] || SkC3* -> SkC0 SkC2.
% 0.19/0.46 5[0:Inp] || SkC0 -> SkC3* SkC2.
% 0.19/0.46 6[0:Inp] || big_q(skc22)* -> SkC1.
% 0.19/0.46 7[0:Inp] || big_p(skc30)* -> SkC3.
% 0.19/0.46 8[0:Inp] || big_q(skc24)*+ -> big_q(u)*.
% 0.19/0.46 9[0:Inp] || big_p(skc16)*+ -> big_p(u)*.
% 0.19/0.46 10[0:Inp] || big_p(skc14)*+ -> big_p(u)*.
% 0.19/0.46 11[0:Inp] || SkC0 SkC3* SkC2 -> .
% 0.19/0.46 12[0:Inp] || -> SkC2 big_q(u) big_q(skf5(u))*.
% 0.19/0.46 13[0:Inp] big_p(u) || -> SkC0 SkC1 big_p(skc16)*.
% 0.19/0.46 14[0:Inp] big_q(u) || SkC1 -> big_q(v)*.
% 0.19/0.46 15[0:Inp] big_q(u) || SkC2 -> big_q(skc24)*.
% 0.19/0.46 16[0:Inp] big_p(u) || SkC3 -> big_p(v)*.
% 0.19/0.46 17[0:Inp] || SkC0 -> SkC1 big_p(u) big_p(skf3(u))*.
% 0.19/0.46 18[0:Inp] || SkC1 -> SkC0 big_p(u) big_p(skf4(u))*.
% 0.19/0.46 19[0:Inp] big_q(u) || big_q(skf5(u))* -> SkC2.
% 0.19/0.46 20[0:Inp] big_p(u) || SkC0 SkC1 -> big_p(skc14)*.
% 0.19/0.46 21[0:Inp] big_p(u) || SkC0 big_p(skf3(u))* -> SkC1.
% 0.19/0.46 22[0:Inp] big_p(u) || SkC1 big_p(skf4(u))* -> SkC0.
% 0.19/0.46 39[1:Spt:4.1] || -> SkC0*.
% 0.19/0.46 40[1:MRR:5.0,39.0] || -> SkC3* SkC2.
% 0.19/0.46 41[1:MRR:11.0,39.0] || SkC3* SkC2 -> .
% 0.19/0.46 42[1:MRR:17.0,39.0] || -> SkC1 big_p(u) big_p(skf3(u))*.
% 0.19/0.46 43[1:MRR:20.1,39.0] big_p(u) || SkC1 -> big_p(skc14)*.
% 0.19/0.46 44[1:MRR:21.1,39.0] big_p(u) || big_p(skf3(u))* -> SkC1.
% 0.19/0.46 45[2:Spt:10.1] || -> big_p(u)*.
% 0.19/0.46 46[2:MRR:44.1,44.0,45.0] || -> SkC1*.
% 0.19/0.46 47[2:MRR:7.0,45.0] || -> SkC3*.
% 0.19/0.46 48[2:MRR:14.1,46.0] big_q(u) || -> big_q(v)*.
% 0.19/0.46 49[2:MRR:41.0,47.0] || SkC2* -> .
% 0.19/0.46 50[2:MRR:12.0,49.0] || -> big_q(u) big_q(skf5(u))*.
% 0.19/0.46 51[2:MRR:19.2,49.0] big_q(u) || big_q(skf5(u))* -> .
% 0.19/0.46 52[2:MRR:50.0,48.0] || -> big_q(skf5(u))*.
% 0.19/0.47 53[2:MRR:51.1,52.0] big_q(u) || -> .
% 0.19/0.47 54[2:UnC:53.0,52.0] || -> .
% 0.19/0.47 55[2:Spt:54.0,10.0] || big_p(skc14)* -> .
% 0.19/0.47 56[2:MRR:43.2,55.0] big_p(u) || SkC1* -> .
% 0.19/0.47 57[2:MRR:44.2,56.1] big_p(u) || big_p(skf3(u))* -> .
% 0.19/0.47 58[3:Spt:9.1] || -> big_p(u)*.
% 0.19/0.47 59[3:UnC:58.0,55.0] || -> .
% 0.19/0.47 60[3:Spt:59.0,9.0] || big_p(skc16)* -> .
% 0.19/0.47 61[4:Spt:12.0] || -> SkC2*.
% 0.19/0.47 62[4:MRR:41.1,61.0] || SkC3* -> .
% 0.19/0.47 63[4:MRR:15.1,61.0] big_q(u) || -> big_q(skc24)*.
% 0.19/0.47 64[4:MRR:2.0,62.0] || -> big_p(skc29)*.
% 0.19/0.47 66[5:Spt:1.0] || -> SkC1*.
% 0.19/0.47 67[5:MRR:56.1,66.0] big_p(u) || -> .
% 0.19/0.47 69[5:UnC:67.0,64.0] || -> .
% 0.19/0.47 70[5:Spt:69.0,1.0,66.0] || SkC1* -> .
% 0.19/0.47 71[5:Spt:69.0,1.1] || -> big_q(skc21)*.
% 0.19/0.47 72[5:MRR:6.1,70.0] || big_q(skc22)* -> .
% 0.19/0.47 74[6:Spt:8.1] || -> big_q(u)*.
% 0.19/0.47 75[6:UnC:74.0,72.0] || -> .
% 0.19/0.47 76[6:Spt:75.0,8.0] || big_q(skc24)* -> .
% 0.19/0.47 77[6:MRR:63.1,76.0] big_q(u) || -> .
% 0.19/0.47 78[6:UnC:77.0,71.0] || -> .
% 0.19/0.47 79[4:Spt:78.0,12.0,61.0] || SkC2* -> .
% 0.19/0.47 80[4:Spt:78.0,12.1,12.2] || -> big_q(u) big_q(skf5(u))*.
% 0.19/0.47 81[4:MRR:40.1,79.0] || -> SkC3*.
% 0.19/0.47 82[4:MRR:16.1,81.0] big_p(u) || -> big_p(v)*.
% 0.19/0.47 84[4:MRR:42.2,82.0] || -> SkC1 big_p(u)*.
% 0.19/0.47 85[4:MRR:57.1,82.1] big_p(u) || -> .
% 0.19/0.47 86[4:MRR:84.1,85.0] || -> SkC1*.
% 0.19/0.47 87[4:MRR:14.1,86.0] big_q(u) || -> big_q(v)*.
% 0.19/0.47 89[4:MRR:80.1,87.0] || -> big_q(u)*.
% 0.19/0.47 90[4:MRR:19.0,19.1,19.2,89.0,89.0,79.0] || -> .
% 0.19/0.47 91[1:Spt:90.0,4.1,39.0] || SkC0* -> .
% 0.19/0.47 92[1:Spt:90.0,4.0,4.2] || SkC3* -> SkC2.
% 0.19/0.47 93[1:MRR:3.1,91.0] || SkC2 -> SkC3*.
% 0.19/0.47 94[1:MRR:13.1,91.0] big_p(u) || -> SkC1 big_p(skc16)*.
% 0.19/0.47 95[1:MRR:18.1,91.0] || SkC1 -> big_p(u) big_p(skf4(u))*.
% 0.19/0.47 96[1:MRR:22.3,91.0] big_p(u) || SkC1 big_p(skf4(u))* -> .
% 0.19/0.47 97[2:Spt:9.1] || -> big_p(u)*.
% 0.19/0.47 98[2:MRR:7.0,97.0] || -> SkC3*.
% 0.19/0.47 99[2:MRR:96.2,96.0,97.0] || SkC1* -> .
% 0.19/0.47 100[2:MRR:92.0,98.0] || -> SkC2*.
% 0.19/0.47 101[2:MRR:15.1,100.0] big_q(u) || -> big_q(skc24)*.
% 0.19/0.47 102[2:MRR:1.0,99.0] || -> big_q(skc21)*.
% 0.19/0.47 103[2:MRR:6.1,99.0] || big_q(skc22)* -> .
% 0.19/0.47 104[3:Spt:8.1] || -> big_q(u)*.
% 0.19/0.47 105[3:UnC:104.0,103.0] || -> .
% 0.19/0.47 106[3:Spt:105.0,8.0] || big_q(skc24)* -> .
% 0.19/0.47 107[3:MRR:101.1,106.0] big_q(u) || -> .
% 0.19/0.47 108[3:UnC:107.0,102.0] || -> .
% 0.19/0.47 109[2:Spt:108.0,9.0] || big_p(skc16)* -> .
% 0.19/0.47 110[2:MRR:94.2,109.0] big_p(u) || -> SkC1*.
% 0.19/0.47 111[2:MRR:96.1,110.1] big_p(u) || big_p(skf4(u))* -> .
% 0.19/0.47 112[3:Spt:10.1] || -> big_p(u)*.
% 0.19/0.47 113[3:UnC:112.0,109.0] || -> .
% 0.19/0.47 114[3:Spt:113.0,10.0] || big_p(skc14)* -> .
% 0.19/0.47 115[4:Spt:12.0] || -> SkC2*.
% 0.19/0.47 116[4:MRR:93.0,115.0] || -> SkC3*.
% 0.19/0.47 117[4:MRR:15.1,115.0] big_q(u) || -> big_q(skc24)*.
% 0.19/0.47 118[4:MRR:16.1,116.0] big_p(u) || -> big_p(v)*.
% 0.19/0.47 120[4:MRR:95.2,118.0] || SkC1 -> big_p(u)*.
% 0.19/0.47 121[4:MRR:111.1,118.1] big_p(u) || -> .
% 0.19/0.47 122[4:MRR:120.1,121.0] || SkC1* -> .
% 0.19/0.47 123[4:MRR:1.0,122.0] || -> big_q(skc21)*.
% 0.19/0.47 124[4:MRR:6.1,122.0] || big_q(skc22)* -> .
% 0.19/0.47 125[5:Spt:8.1] || -> big_q(u)*.
% 0.19/0.47 126[5:UnC:125.0,124.0] || -> .
% 0.19/0.47 127[5:Spt:126.0,8.0] || big_q(skc24)* -> .
% 0.19/0.47 128[5:MRR:117.1,127.0] big_q(u) || -> .
% 0.19/0.47 129[5:UnC:128.0,123.0] || -> .
% 0.19/0.47 130[4:Spt:129.0,12.0,115.0] || SkC2* -> .
% 0.19/0.47 131[4:Spt:129.0,12.1,12.2] || -> big_q(u) big_q(skf5(u))*.
% 0.19/0.47 132[4:MRR:92.1,130.0] || SkC3* -> .
% 0.19/0.47 133[4:MRR:2.0,132.0] || -> big_p(skc29)*.
% 0.19/0.47 135[4:MRR:19.2,130.0] big_q(u) || big_q(skf5(u))* -> .
% 0.19/0.47 136[5:Spt:1.0] || -> SkC1*.
% 0.19/0.47 138[5:MRR:14.1,136.0] big_q(u) || -> big_q(v)*.
% 0.19/0.47 140[5:MRR:131.1,138.0] || -> big_q(u)*.
% 0.19/0.47 141[5:MRR:135.1,138.1] big_q(u) || -> .
% 0.19/0.47 142[5:MRR:141.0,140.0] || -> .
% 0.19/0.47 143[5:Spt:142.0,1.0,136.0] || SkC1* -> .
% 0.19/0.47 144[5:Spt:142.0,1.1] || -> big_q(skc21)*.
% 0.19/0.47 145[5:MRR:110.1,143.0] big_p(u) || -> .
% 0.19/0.47 146[5:UnC:145.0,133.0] || -> .
% 0.19/0.47 % SZS output end Refutation
% 0.19/0.47 Formulae used in the proof : pel34
% 0.19/0.47
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