TSTP Solution File: SWV125+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV125+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : Wed Jul 20 21:41:22 EDT 2022
% Result : Theorem 1.07s 1.27s
% Output : Refutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV125+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n007.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 : Wed Jun 15 04:19:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.07/1.27
% 1.07/1.27 SPASS V 3.9
% 1.07/1.27 SPASS beiseite: Proof found.
% 1.07/1.27 % SZS status Theorem
% 1.07/1.27 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.27 SPASS derived 4483 clauses, backtracked 117 clauses, performed 10 splits and kept 2317 clauses.
% 1.07/1.27 SPASS allocated 88853 KBytes.
% 1.07/1.27 SPASS spent 0:00:00.91 on the problem.
% 1.07/1.27 0:00:00.04 for the input.
% 1.07/1.27 0:00:00.10 for the FLOTTER CNF translation.
% 1.07/1.27 0:00:00.04 for inferences.
% 1.07/1.27 0:00:00.00 for the backtracking.
% 1.07/1.27 0:00:00.68 for the reduction.
% 1.07/1.27
% 1.07/1.27
% 1.07/1.27 Here is a proof with depth 3, length 204 :
% 1.07/1.27 % SZS output start Refutation
% 1.07/1.27 1[0:Inp] || -> true__dfg*.
% 1.07/1.27 4[0:Inp] || -> geq(n7,n0)*.
% 1.07/1.27 5[0:Inp] || true__dfg -> SkC0*.
% 1.07/1.27 6[0:Inp] || true__dfg -> SkC6*.
% 1.07/1.27 7[0:Inp] || true__dfg -> SkC9*.
% 1.07/1.27 8[0:Inp] || -> gt(n1000,n588)*r.
% 1.07/1.27 10[0:Inp] || -> gt(n5,n4)*l.
% 1.07/1.27 12[0:Inp] || -> gt(n7,n4)*l.
% 1.07/1.27 16[0:Inp] || -> gt(n7,n5)*r.
% 1.07/1.27 19[0:Inp] || -> gt(n7,n6)*r.
% 1.07/1.27 34[0:Inp] || -> gt(n4,n0)*r.
% 1.07/1.27 35[0:Inp] || -> gt(n5,n0)*l.
% 1.07/1.27 36[0:Inp] || -> gt(n6,n0)*l.
% 1.07/1.27 38[0:Inp] || -> gt(n1,n0)*r.
% 1.07/1.27 39[0:Inp] || -> gt(n2,n0)*l.
% 1.07/1.27 44[0:Inp] || -> gt(n5,n1)*l.
% 1.07/1.27 46[0:Inp] || -> gt(n7,n1)*l.
% 1.07/1.27 49[0:Inp] || -> gt(n3,n1)*l.
% 1.07/1.27 52[0:Inp] || -> gt(n5,n2)*l.
% 1.07/1.27 54[0:Inp] || -> gt(n7,n2)*r.
% 1.07/1.27 56[0:Inp] || -> gt(n3,n2)*l.
% 1.07/1.27 59[0:Inp] || -> gt(n5,n3)*l.
% 1.07/1.27 61[0:Inp] || -> gt(n7,n3)*r.
% 1.07/1.27 63[0:Inp] || -> leq(u,u)*.
% 1.07/1.27 64[0:Inp] || -> SkC2* leq(n0,pv5).
% 1.07/1.27 65[0:Inp] || -> SkC2* leq(n0,pv21).
% 1.07/1.27 66[0:Inp] || -> SkC2* leq(pv5,n588).
% 1.07/1.27 67[0:Inp] || -> SkC3* leq(n0,pv5).
% 1.07/1.27 68[0:Inp] || -> SkC3* leq(n0,pv31).
% 1.07/1.27 69[0:Inp] || -> SkC3* leq(n0,pv32).
% 1.07/1.27 70[0:Inp] || -> SkC3* leq(pv5,n588).
% 1.07/1.27 71[0:Inp] || -> leq(n0,pv5) SkC4*.
% 1.07/1.27 72[0:Inp] || -> leq(n0,pv31) SkC4*.
% 1.07/1.27 73[0:Inp] || -> leq(pv5,n588) SkC4*.
% 1.07/1.27 74[0:Inp] || -> leq(n0,pv5) SkC5*.
% 1.07/1.27 76[0:Inp] || -> leq(pv5,n588) SkC5*.
% 1.07/1.27 79[0:Inp] || -> SkC7* leq(n0,pv5).
% 1.07/1.27 80[0:Inp] || -> SkC7* leq(pv5,n588).
% 1.07/1.27 81[0:Inp] || -> leq(n0,pv5) SkC8*.
% 1.07/1.27 82[0:Inp] || -> leq(pv5,n588) SkC8*.
% 1.07/1.27 84[0:Inp] || -> equal(succ(n0),n1)**.
% 1.07/1.27 89[0:Inp] || -> geq(minus(n4,n1),n0)*.
% 1.07/1.27 90[0:Inp] || -> geq(minus(n1000,n1),n0)*.
% 1.07/1.27 92[0:Inp] || gt(pv5,n0) -> SkC11*.
% 1.07/1.27 93[0:Inp] || gt(pv5,n0) -> SkC12*.
% 1.07/1.27 94[0:Inp] || gt(pv5,n0) -> SkC13*.
% 1.07/1.27 96[0:Inp] || -> equal(succ(succ(n0)),n2)**.
% 1.07/1.27 113[0:Inp] || -> equal(pred(succ(u)),u)**.
% 1.07/1.27 115[0:Inp] || -> leq(pv21,minus(n6,n1))*r SkC2.
% 1.07/1.27 116[0:Inp] || -> leq(pv31,minus(n6,n1))*r SkC3.
% 1.07/1.27 117[0:Inp] || -> leq(pv32,minus(n6,n1))*r SkC3.
% 1.07/1.27 118[0:Inp] || SkC10* -> equal(pv32,pv31) SkC3.
% 1.07/1.27 119[0:Inp] || -> leq(pv31,minus(n6,n1))*r SkC4.
% 1.07/1.27 123[0:Inp] || SkC12* -> gt(pv5,n0) SkC11.
% 1.07/1.27 124[0:Inp] || SkC13* -> gt(pv5,n0) SkC12.
% 1.07/1.27 125[0:Inp] || SkC14* -> gt(pv5,n0) SkC13.
% 1.07/1.27 126[0:Inp] || -> equal(succ(succ(succ(n0))),n3)**.
% 1.07/1.27 131[0:Inp] || -> equal(minus(u,n1),pred(u))**.
% 1.07/1.27 133[0:Inp] || -> equal(succ(succ(succ(succ(n0)))),n4)**.
% 1.07/1.27 136[0:Inp] || geq(u,v)* -> leq(v,u).
% 1.07/1.27 138[0:Inp] || gt(u,v)* -> leq(v,u).
% 1.07/1.27 143[0:Inp] || -> equal(succ(succ(succ(succ(succ(n0))))),n5)**.
% 1.07/1.27 145[0:Inp] || gt(u,v)*+ -> leq(v,pred(u))*.
% 1.07/1.27 159[0:Inp] || leq(n0,pv5) leq(pv5,n588) -> SkC5*.
% 1.07/1.27 160[0:Inp] || leq(n0,pv5) leq(pv5,n588) -> SkC8*.
% 1.07/1.27 161[0:Inp] || -> equal(succ(succ(succ(succ(succ(succ(n0)))))),n6)**.
% 1.07/1.27 162[0:Inp] || -> equal(u,v) gt(v,u)* gt(u,v)*.
% 1.07/1.27 176[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 1.07/1.27 184[0:Inp] || leq(n0,pv5) leq(n0,pv31) leq(pv5,n588) leq(pv31,minus(n6,n1))*r -> SkC4.
% 1.07/1.27 190[0:Inp] || true__dfg SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8* SkC9 -> .
% 1.07/1.27 195[0:Inp] || leq(n0,n0) leq(n0,pv5) leq(n0,pv21) leq(pv5,n588) leq(pv21,n5) leq(pv21,minus(n6,n1))*r -> SkC2.
% 1.07/1.27 201[0:Inp] || leq(n0,pv5) leq(n0,pv31) leq(n0,pv32) leq(pv5,n588) leq(pv31,minus(n6,n1)) leq(pv32,minus(n6,n1))*r -> SkC10.
% 1.07/1.27 202[0:Inp] || leq(n0,pv5) leq(n0,pv31) leq(n0,pv32) leq(pv5,n588) leq(pv31,minus(n6,n1)) leq(pv32,minus(n6,n1))*r SkC10 -> SkC3.
% 1.07/1.27 223[0:Inp] || leq(n0,n0) leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,n7) leq(n0,pv5) leq(n0,minus(n6,n1)) leq(n1,n7) leq(n1,minus(n6,n1)) leq(n2,n7) leq(n2,minus(n6,n1)) leq(n3,n7) leq(n3,minus(n6,n1)) leq(n4,n7) leq(n4,minus(n6,n1)) leq(n5,n7) leq(n5,minus(n6,n1))*r leq(n6,n7) leq(n7,n7) leq(pv5,n588) leq(pv5,minus(n1000,n1)) -> SkC14.
% 1.07/1.27 224[0:Inp] || leq(n0,n0) leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,n7) leq(n0,minus(n4,n1)) leq(n0,minus(n6,n1)) leq(n0,minus(n1000,n1)) leq(n1,n7) leq(n1,minus(n4,n1)) leq(n1,minus(n6,n1)) leq(n2,n7) leq(n2,minus(n4,n1)) leq(n2,minus(n6,n1)) leq(n3,n7) leq(n3,minus(n4,n1)) leq(n3,minus(n6,n1)) leq(n4,n7) leq(n4,minus(n6,n1)) leq(n5,n7) leq(n5,minus(n6,n1))*r leq(n6,n7) leq(n7,n7) -> SkC1.
% 1.07/1.27 228[0:Inp] || leq(n0,n0) leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,n7) leq(n0,pv5) leq(n0,minus(n4,n1)) leq(n0,minus(n6,n1)) leq(n1,n7) leq(n1,minus(n4,n1)) leq(n1,minus(n6,n1)) leq(n2,n7) leq(n2,minus(n4,n1)) leq(n2,minus(n6,n1)) leq(n3,n7) leq(n3,minus(n4,n1)) leq(n3,minus(n6,n1)) leq(n4,n7) leq(n4,minus(n6,n1)) leq(n5,n7) leq(n5,minus(n6,n1))*r leq(n6,n7) leq(n7,n7) leq(pv5,n588) leq(pv5,minus(n1000,n1)) SkC14 SkC13 SkC12 SkC11 -> SkC7.
% 1.07/1.27 229[0:MRR:7.0,1.0] || -> SkC9*.
% 1.07/1.27 230[0:MRR:6.0,1.0] || -> SkC6*.
% 1.07/1.27 231[0:MRR:5.0,1.0] || -> SkC0*.
% 1.07/1.27 232[0:Rew:84.0,96.0] || -> equal(succ(n1),n2)**.
% 1.07/1.27 233[0:Rew:131.0,89.0] || -> geq(pred(n4),n0)*.
% 1.07/1.27 234[0:Rew:131.0,90.0] || -> geq(pred(n1000),n0)*.
% 1.07/1.27 237[0:Rew:232.0,126.0,84.0,126.0] || -> equal(succ(n2),n3)**.
% 1.07/1.27 239[0:Rew:237.0,133.0,232.0,133.0,84.0,133.0] || -> equal(succ(n3),n4)**.
% 1.07/1.27 242[0:Rew:239.0,143.0,237.0,143.0,232.0,143.0,84.0,143.0] || -> equal(succ(n4),n5)**.
% 1.07/1.27 245[0:Rew:242.0,161.0,239.0,161.0,237.0,161.0,232.0,161.0,84.0,161.0] || -> equal(succ(n5),n6)**.
% 1.07/1.27 248[0:MRR:125.1,94.0] || SkC14* -> SkC13.
% 1.07/1.27 249[0:MRR:124.1,93.0] || SkC13* -> SkC12.
% 1.07/1.27 250[0:MRR:123.1,92.0] || SkC12* -> SkC11.
% 1.07/1.27 252[0:Rew:131.0,119.0] || -> leq(pv31,pred(n6))*r SkC4.
% 1.07/1.27 253[0:Rew:131.0,117.0] || -> SkC3 leq(pv32,pred(n6))*r.
% 1.07/1.27 254[0:Rew:131.0,116.0] || -> SkC3 leq(pv31,pred(n6))*r.
% 1.07/1.27 255[0:Rew:131.0,115.0] || -> SkC2 leq(pv21,pred(n6))*r.
% 1.07/1.27 256[0:MRR:160.0,160.1,81.0,82.0] || -> SkC8*.
% 1.07/1.27 257[0:MRR:159.0,159.1,74.0,76.0] || -> SkC5*.
% 1.07/1.27 258[0:MRR:190.0,190.1,190.6,190.7,190.9,190.10,1.0,231.0,257.0,230.0,256.0,229.0] || SkC1 SkC2 SkC3 SkC4 SkC7* -> .
% 1.07/1.27 259[0:Rew:131.0,184.3] || leq(n0,pv5) leq(n0,pv31) leq(pv5,n588) leq(pv31,pred(n6))*r -> SkC4.
% 1.07/1.27 260[0:MRR:259.0,259.1,259.2,259.3,71.0,72.0,73.0,252.0] || -> SkC4*.
% 1.07/1.27 261[0:MRR:258.3,260.0] || SkC7* SkC3 SkC2 SkC1 -> .
% 1.07/1.27 262[0:Rew:131.0,195.5] || leq(n0,n0) leq(n0,pv5) leq(n0,pv21) leq(pv5,n588) leq(pv21,n5) leq(pv21,pred(n6))*r -> SkC2.
% 1.07/1.27 263[0:MRR:262.0,262.1,262.2,262.3,262.5,63.0,64.0,65.0,66.0,255.0] || leq(pv21,n5) -> SkC2*.
% 1.07/1.27 264[0:Rew:131.0,201.5,131.0,201.4] || leq(pv5,n588) leq(n0,pv32) leq(n0,pv31) leq(n0,pv5) leq(pv32,pred(n6))*r leq(pv31,pred(n6)) -> SkC10.
% 1.07/1.27 265[0:Rew:118.1,202.5,131.0,202.5,131.0,202.4,118.1,202.2] || leq(n0,pv5) leq(n0,pv31) leq(n0,pv31) leq(pv5,n588) leq(pv31,pred(n6))*r leq(pv31,pred(n6))*r SkC10 -> SkC3.
% 1.07/1.27 266[0:Obv:265.4] || leq(n0,pv5) leq(n0,pv31) leq(pv5,n588) leq(pv31,pred(n6))*r SkC10 -> SkC3.
% 1.07/1.27 267[0:MRR:266.0,266.1,266.2,266.3,67.0,68.0,70.0,254.0] || SkC10* -> SkC3.
% 1.07/1.27 270[0:Rew:131.0,223.23,131.0,223.19,131.0,223.17,131.0,223.15,131.0,223.13,131.0,223.11,131.0,223.9] || leq(n0,n0) leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,n7) leq(n0,pv5) leq(n0,pred(n6)) leq(n1,n7) leq(n1,pred(n6)) leq(n2,n7) leq(n2,pred(n6)) leq(n3,n7) leq(n3,pred(n6)) leq(n4,n7) leq(n4,pred(n6)) leq(n5,n7) leq(n5,pred(n6))*r leq(n6,n7) leq(n7,n7) leq(pv5,n588) leq(pv5,pred(n1000)) -> SkC14.
% 1.07/1.27 271[0:MRR:270.0,270.21,63.0,63.0] || leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,n7) leq(n0,pv5) leq(n0,pred(n6)) leq(n1,n7) leq(n1,pred(n6)) leq(n2,n7) leq(n2,pred(n6)) leq(n3,n7) leq(n3,pred(n6)) leq(n4,n7) leq(n4,pred(n6)) leq(n5,n7) leq(n5,pred(n6))*r leq(n6,n7) leq(pv5,n588) leq(pv5,pred(n1000)) -> SkC14.
% 1.07/1.27 272[0:Rew:131.0,224.23,131.0,224.21,131.0,224.19,131.0,224.18,131.0,224.16,131.0,224.15,131.0,224.13,131.0,224.12,131.0,224.10,131.0,224.9,131.0,224.8] || leq(n0,n0) leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,n7) leq(n0,pred(n4)) leq(n0,pred(n6)) leq(n0,pred(n1000)) leq(n1,n7) leq(n1,pred(n4)) leq(n1,pred(n6)) leq(n2,n7) leq(n2,pred(n4)) leq(n2,pred(n6)) leq(n3,n7) leq(n3,pred(n4)) leq(n3,pred(n6)) leq(n4,n7) leq(n4,pred(n6)) leq(n5,n7) leq(n5,pred(n6))*r leq(n6,n7) leq(n7,n7) -> SkC1.
% 1.07/1.27 273[0:MRR:272.0,272.25,63.0,63.0] || leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,n7) leq(n0,pred(n4)) leq(n0,pred(n6)) leq(n0,pred(n1000)) leq(n1,n7) leq(n1,pred(n4)) leq(n1,pred(n6)) leq(n2,n7) leq(n2,pred(n4)) leq(n2,pred(n6)) leq(n3,n7) leq(n3,pred(n4)) leq(n3,pred(n6)) leq(n4,n7) leq(n4,pred(n6)) leq(n5,n7) leq(n5,pred(n6))*r leq(n6,n7) -> SkC1.
% 1.07/1.27 274[0:Rew:131.0,228.27,131.0,228.23,131.0,228.21,131.0,228.19,131.0,228.18,131.0,228.16,131.0,228.15,131.0,228.13,131.0,228.12,131.0,228.10,131.0,228.9] || leq(n0,n0) leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,n7) leq(n0,pv5) leq(n0,pred(n4)) leq(n0,pred(n6)) leq(n1,n7) leq(n1,pred(n4)) leq(n1,pred(n6)) leq(n2,n7) leq(n2,pred(n4)) leq(n2,pred(n6)) leq(n3,n7) leq(n3,pred(n4)) leq(n3,pred(n6)) leq(n4,n7) leq(n4,pred(n6)) leq(n5,n7) leq(n5,pred(n6))*r leq(n6,n7) leq(n7,n7) leq(pv5,n588) leq(pv5,pred(n1000)) SkC14 SkC13 SkC12 SkC11 -> SkC7.
% 1.07/1.27 275[0:MRR:274.0,274.8,274.25,274.26,274.29,274.31,63.0,79.0,63.0,80.0,248.1,250.1] || leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,n7) leq(n0,pred(n4)) leq(n0,pred(n6)) leq(n1,n7) leq(n1,pred(n4)) leq(n1,pred(n6)) leq(n2,n7) leq(n2,pred(n4)) leq(n2,pred(n6)) leq(n3,n7) leq(n3,pred(n4)) leq(n3,pred(n6)) leq(n4,n7) leq(n4,pred(n6)) leq(n5,n7) leq(n5,pred(n6))*r leq(n6,n7) leq(pv5,pred(n1000)) SkC14 SkC12 -> SkC7.
% 1.07/1.27 276[0:Res:4.0,136.0] || -> leq(n0,n7)*r.
% 1.07/1.27 277[0:Res:233.0,136.0] || -> leq(n0,pred(n4))*r.
% 1.07/1.27 278[0:Res:234.0,136.0] || -> leq(n0,pred(n1000))*r.
% 1.07/1.27 279[0:MRR:271.6,276.0] || leq(pv5,n588) leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,pv5) leq(n0,n6) leq(n0,n5) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(pv5,pred(n1000)) leq(n5,pred(n6))*r leq(n4,pred(n6)) leq(n3,pred(n6)) leq(n2,pred(n6)) leq(n1,pred(n6)) leq(n0,pred(n6)) -> SkC14.
% 1.07/1.27 280[0:MRR:273.6,276.0] || leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,pred(n4)) leq(n0,pred(n6)) leq(n0,pred(n1000)) leq(n1,n7) leq(n1,pred(n4)) leq(n1,pred(n6)) leq(n2,n7) leq(n2,pred(n4)) leq(n2,pred(n6)) leq(n3,n7) leq(n3,pred(n4)) leq(n3,pred(n6)) leq(n4,n7) leq(n4,pred(n6)) leq(n5,n7) leq(n5,pred(n6))*r leq(n6,n7) -> SkC1.
% 1.07/1.27 281[0:MRR:275.6,276.0] || leq(n0,n1) leq(n0,n2) leq(n0,n3) leq(n0,n4) leq(n0,n5) leq(n0,n6) leq(n0,pred(n4)) leq(n0,pred(n6)) leq(n1,n7) leq(n1,pred(n4)) leq(n1,pred(n6)) leq(n2,n7) leq(n2,pred(n4)) leq(n2,pred(n6)) leq(n3,n7) leq(n3,pred(n4)) leq(n3,pred(n6)) leq(n4,n7) leq(n4,pred(n6)) leq(n5,n7) leq(n5,pred(n6))*r leq(n6,n7) leq(pv5,pred(n1000)) SkC14 SkC12 -> SkC7.
% 1.07/1.27 283[0:MRR:280.6,280.8,277.0,278.0] || leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n5) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(n5,pred(n6))*r leq(n4,pred(n6)) leq(n3,pred(n6)) leq(n3,pred(n4)) leq(n2,pred(n6)) leq(n2,pred(n4)) leq(n1,pred(n6)) leq(n1,pred(n4)) leq(n0,pred(n6)) -> SkC1.
% 1.07/1.27 284[0:MRR:281.6,277.0] || SkC12 SkC14 leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n5) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(pv5,pred(n1000)) leq(n5,pred(n6))*r leq(n4,pred(n6)) leq(n3,pred(n6)) leq(n3,pred(n4)) leq(n2,pred(n6)) leq(n2,pred(n4)) leq(n1,pred(n6)) leq(n1,pred(n4)) leq(n0,pred(n6)) -> SkC7.
% 1.07/1.27 285[1:Spt:70.0] || -> SkC3*.
% 1.07/1.27 286[1:MRR:261.1,285.0] || SkC7* SkC2 SkC1 -> .
% 1.07/1.27 287[2:Spt:66.0] || -> SkC2*.
% 1.07/1.27 288[2:MRR:286.1,287.0] || SkC7* SkC1 -> .
% 1.07/1.27 289[3:Spt:80.0] || -> SkC7*.
% 1.07/1.27 290[3:MRR:288.0,289.0] || SkC1* -> .
% 1.07/1.27 291[3:MRR:283.21,290.0] || leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n5) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(n5,pred(n6))*r leq(n4,pred(n6)) leq(n3,pred(n6)) leq(n3,pred(n4)) leq(n2,pred(n6)) leq(n2,pred(n4)) leq(n1,pred(n6)) leq(n1,pred(n4)) leq(n0,pred(n6)) -> .
% 1.07/1.27 313[0:SpR:239.0,113.0] || -> equal(pred(n4),n3)**.
% 1.07/1.27 315[0:SpR:245.0,113.0] || -> equal(pred(n6),n5)**.
% 1.07/1.27 318[0:Rew:313.0,277.0] || -> leq(n0,n3)*r.
% 1.07/1.27 319[3:Rew:313.0,291.15] || leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n5) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(n5,pred(n6))*r leq(n4,pred(n6)) leq(n3,pred(n6)) leq(n3,n3) leq(n2,pred(n6)) leq(n2,pred(n4)) leq(n1,pred(n6)) leq(n1,pred(n4)) leq(n0,pred(n6)) -> .
% 1.07/1.27 320[3:Rew:315.0,319.20,313.0,319.19,315.0,319.18,313.0,319.17,315.0,319.16,315.0,319.14,315.0,319.13,315.0,319.12] || leq(n6,n7)*l leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n5) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(n5,n5) leq(n4,n5) leq(n3,n5) leq(n3,n3) leq(n2,n5) leq(n2,n3) leq(n1,n5) leq(n1,n3) leq(n0,n5) -> .
% 1.07/1.27 321[3:Obv:320.7] || leq(n6,n7)*l leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(n5,n5) leq(n4,n5) leq(n3,n5) leq(n3,n3) leq(n2,n5) leq(n2,n3) leq(n1,n5) leq(n1,n3) leq(n0,n5) -> .
% 1.07/1.27 322[3:MRR:321.8,321.11,321.14,318.0,63.0,63.0] || leq(n6,n7)*l leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n4) leq(n0,n2) leq(n0,n1) leq(n4,n5) leq(n3,n5) leq(n2,n5) leq(n2,n3) leq(n1,n5) leq(n1,n3) leq(n0,n5) -> .
% 1.07/1.27 2504[0:Res:39.0,138.0] || -> leq(n0,n2)*r.
% 1.07/1.27 2505[0:Res:38.0,138.0] || -> leq(n0,n1)*l.
% 1.07/1.27 2507[0:Res:36.0,138.0] || -> leq(n0,n6)*r.
% 1.07/1.27 2508[0:Res:35.0,138.0] || -> leq(n0,n5)*r.
% 1.07/1.27 2509[0:Res:34.0,138.0] || -> leq(n0,n4)*l.
% 1.07/1.27 2512[0:Res:61.0,138.0] || -> leq(n3,n7)*l.
% 1.07/1.27 2514[0:Res:59.0,138.0] || -> leq(n3,n5)*r.
% 1.07/1.27 2517[0:Res:56.0,138.0] || -> leq(n2,n3)*r.
% 1.07/1.27 2519[0:Res:54.0,138.0] || -> leq(n2,n7)*l.
% 1.07/1.27 2521[0:Res:52.0,138.0] || -> leq(n2,n5)*r.
% 1.07/1.27 2524[0:Res:49.0,138.0] || -> leq(n1,n3)*r.
% 1.07/1.27 2527[0:Res:46.0,138.0] || -> leq(n1,n7)*r.
% 1.07/1.27 2529[0:Res:44.0,138.0] || -> leq(n1,n5)*r.
% 1.07/1.27 2545[0:Res:19.0,138.0] || -> leq(n6,n7)*l.
% 1.07/1.27 2548[0:Res:16.0,138.0] || -> leq(n5,n7)*l.
% 1.07/1.27 2552[0:Res:12.0,138.0] || -> leq(n4,n7)*r.
% 1.07/1.27 2554[0:Res:10.0,138.0] || -> leq(n4,n5)*r.
% 1.07/1.27 2682[3:MRR:322.8,2504.0] || leq(n6,n7)*l leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n4) leq(n0,n1) leq(n4,n5) leq(n3,n5) leq(n2,n5) leq(n2,n3) leq(n1,n5) leq(n1,n3) leq(n0,n5) -> .
% 1.07/1.27 2683[3:MRR:2682.0,2682.1,2682.2,2682.3,2682.4,2682.5,2682.6,2682.7,2682.8,2682.9,2682.10,2682.11,2682.12,2682.13,2682.14,2682.15,2545.0,2548.0,2552.0,2512.0,2519.0,2527.0,2507.0,2509.0,2505.0,2554.0,2514.0,2521.0,2517.0,2529.0,2524.0,2508.0] || -> .
% 1.07/1.27 2684[3:Spt:2683.0,80.0,289.0] || SkC7* -> .
% 1.07/1.27 2685[3:Spt:2683.0,80.1] || -> leq(pv5,n588)*r.
% 1.07/1.27 2686[3:MRR:79.0,2684.0] || -> leq(n0,pv5)*r.
% 1.07/1.27 2687[0:Rew:315.0,264.5,315.0,264.4] || leq(pv5,n588) leq(n0,pv32) leq(n0,pv31) leq(n0,pv5) leq(pv32,n5) leq(pv31,n5) -> SkC10*.
% 1.07/1.27 2692[0:Rew:315.0,279.20,315.0,279.19,315.0,279.18,315.0,279.17,315.0,279.16,315.0,279.15] || leq(pv5,n588) leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,pv5) leq(n0,n6) leq(n0,n5) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(pv5,pred(n1000))*r leq(n5,n5) leq(n4,n5) leq(n3,n5) leq(n2,n5) leq(n1,n5) leq(n0,n5) -> SkC14.
% 1.07/1.27 2693[0:Obv:2692.9] || leq(pv5,n588) leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,pv5) leq(n0,n6) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(pv5,pred(n1000))*r leq(n5,n5) leq(n4,n5) leq(n3,n5) leq(n2,n5) leq(n1,n5) leq(n0,n5) -> SkC14.
% 1.07/1.27 2694[0:MRR:2693.10,2693.14,318.0,63.0] || leq(pv5,n588) leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,pv5) leq(n0,n6) leq(n0,n4) leq(n0,n2) leq(n0,n1) leq(pv5,pred(n1000))*r leq(n4,n5) leq(n3,n5) leq(n2,n5) leq(n1,n5) leq(n0,n5) -> SkC14.
% 1.07/1.27 2695[3:MRR:2694.0,2694.1,2694.2,2694.3,2694.4,2694.5,2694.6,2694.7,2694.8,2694.9,2694.10,2694.11,2694.13,2694.14,2694.15,2694.16,2694.17,2685.0,2545.0,2548.0,2552.0,2512.0,2519.0,2527.0,2686.0,2507.0,2509.0,2504.0,2505.0,2554.0,2514.0,2521.0,2529.0,2508.0] || leq(pv5,pred(n1000))*r -> SkC14.
% 1.07/1.27 2700[0:Rew:315.0,284.23,313.0,284.22,315.0,284.21,313.0,284.20,315.0,284.19,313.0,284.18,315.0,284.17,315.0,284.16,315.0,284.15] || SkC12 SkC14 leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n5) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(pv5,pred(n1000))*r leq(n5,n5) leq(n4,n5) leq(n3,n5) leq(n3,n3) leq(n2,n5) leq(n2,n3) leq(n1,n5) leq(n1,n3) leq(n0,n5) -> SkC7.
% 1.07/1.28 2701[0:Obv:2700.9] || SkC12 SkC14 leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n4) leq(n0,n3) leq(n0,n2) leq(n0,n1) leq(pv5,pred(n1000))*r leq(n5,n5) leq(n4,n5) leq(n3,n5) leq(n3,n3) leq(n2,n5) leq(n2,n3) leq(n1,n5) leq(n1,n3) leq(n0,n5) -> SkC7.
% 1.07/1.28 2702[0:MRR:2701.10,2701.14,2701.17,318.0,63.0,63.0] || SkC12 SkC14 leq(n6,n7) leq(n5,n7) leq(n4,n7) leq(n3,n7) leq(n2,n7) leq(n1,n7) leq(n0,n6) leq(n0,n4) leq(n0,n2) leq(n0,n1) leq(pv5,pred(n1000))*r leq(n4,n5) leq(n3,n5) leq(n2,n5) leq(n2,n3) leq(n1,n5) leq(n1,n3) leq(n0,n5) -> SkC7.
% 1.07/1.28 2703[3:MRR:2702.1,2702.2,2702.3,2702.4,2702.5,2702.6,2702.7,2702.8,2702.9,2702.10,2702.11,2702.13,2702.14,2702.15,2702.16,2702.17,2702.18,2702.19,2702.20,2695.1,2545.0,2548.0,2552.0,2512.0,2519.0,2527.0,2507.0,2509.0,2504.0,2505.0,2554.0,2514.0,2521.0,2517.0,2529.0,2524.0,2508.0,2684.0] || SkC12 leq(pv5,pred(n1000))*r -> .
% 1.07/1.28 2704[4:Spt:93.0] || gt(pv5,n0)*l -> .
% 1.07/1.28 2706[5:Spt:249.1] || -> SkC12*.
% 1.07/1.28 2708[5:MRR:2703.0,2706.0] || leq(pv5,pred(n1000))*r -> .
% 1.07/1.28 2711[5:NCh:176.2,176.1,2708.0,278.0] || leq(pv5,n0)*l -> .
% 1.07/1.28 2712[5:NCh:176.2,176.1,2708.0,278.0] || equal(pv5,n0)** -> .
% 1.07/1.28 2915[0:Res:8.0,145.0] || -> leq(n588,pred(n1000))*r.
% 1.07/1.28 3831[4:Res:162.1,2704.0] || -> equal(pv5,n0) gt(n0,pv5)*r.
% 1.07/1.28 4446[5:MRR:3831.0,2712.0] || -> gt(n0,pv5)*r.
% 1.07/1.28 4467[5:Res:4446.0,138.0] || -> leq(pv5,n0)*l.
% 1.07/1.28 4476[5:MRR:4467.0,2711.0] || -> .
% 1.07/1.28 4478[5:Spt:4476.0,249.1,2706.0] || SkC12* -> .
% 1.07/1.28 4479[5:Spt:4476.0,249.0] || SkC13* -> .
% 1.07/1.28 4480[5:MRR:248.1,4479.0] || SkC14* -> .
% 1.07/1.28 4481[5:MRR:2695.1,4480.0] || leq(pv5,pred(n1000))*r -> .
% 1.07/1.28 4482[5:NCh:176.2,176.1,4481.0,278.0] || leq(pv5,n0)*l -> .
% 1.07/1.28 4483[5:NCh:176.2,176.1,4481.0,278.0] || equal(pv5,n0)** -> .
% 1.07/1.28 4484[5:MRR:3831.0,4483.0] || -> gt(n0,pv5)*r.
% 1.07/1.28 4493[5:Res:4484.0,138.0] || -> leq(pv5,n0)*l.
% 1.07/1.28 4502[5:MRR:4493.0,4482.0] || -> .
% 1.07/1.28 4504[4:Spt:4502.0,93.0,2704.0] || -> gt(pv5,n0)*l.
% 1.07/1.28 4505[4:Spt:4502.0,93.1] || -> SkC12*.
% 1.07/1.28 4509[4:MRR:2703.0,4505.0] || leq(pv5,pred(n1000))*r -> .
% 1.07/1.28 5956[4:NCh:176.2,176.1,2915.0,4509.0] || leq(pv5,n588)*r -> .
% 1.07/1.28 5961[4:MRR:5956.0,2685.0] || -> .
% 1.07/1.28 5968[2:Spt:5961.0,66.0,287.0] || SkC2* -> .
% 1.07/1.28 5969[2:Spt:5961.0,66.1] || -> leq(pv5,n588)*r.
% 1.07/1.28 5972[0:Rew:315.0,255.1] || -> SkC2* leq(pv21,n5).
% 1.07/1.28 5973[2:MRR:5972.0,5968.0] || -> leq(pv21,n5)*l.
% 1.07/1.28 5974[2:MRR:263.0,263.1,5973.0,5968.0] || -> .
% 1.07/1.28 5997[1:Spt:5974.0,70.0,285.0] || SkC3* -> .
% 1.07/1.28 5998[1:Spt:5974.0,70.1] || -> leq(pv5,n588)*r.
% 1.07/1.28 5999[1:MRR:267.1,5997.0] || SkC10* -> .
% 1.07/1.28 6001[1:MRR:69.0,5997.0] || -> leq(n0,pv32)*r.
% 1.07/1.28 6002[1:MRR:68.0,5997.0] || -> leq(n0,pv31)*r.
% 1.07/1.28 6003[1:MRR:67.0,5997.0] || -> leq(n0,pv5)*r.
% 1.07/1.28 6006[0:Rew:315.0,253.1] || -> SkC3* leq(pv32,n5).
% 1.07/1.28 6007[1:MRR:6006.0,5997.0] || -> leq(pv32,n5)*l.
% 1.07/1.28 6008[0:Rew:315.0,254.1] || -> SkC3* leq(pv31,n5).
% 1.07/1.28 6009[1:MRR:6008.0,5997.0] || -> leq(pv31,n5)*l.
% 1.07/1.28 6013[1:MRR:2687.0,2687.1,2687.2,2687.3,2687.4,2687.5,2687.6,5998.0,6001.0,6002.0,6003.0,6007.0,6009.0,5999.0] || -> .
% 1.07/1.28 % SZS output end Refutation
% 1.07/1.28 Formulae used in the proof : ttrue thruster_array_0001 gt_1000_588 gt_5_4 gt_7_4 gt_7_5 gt_7_6 gt_4_0 gt_5_0 gt_6_0 gt_1_0 gt_2_0 gt_5_1 gt_7_1 gt_3_1 gt_5_2 gt_7_2 gt_3_2 gt_5_3 gt_7_3 reflexivity_leq successor_1 successor_2 pred_succ successor_3 pred_minus_1 successor_4 leq_geq leq_gt1 successor_5 leq_gt_pred successor_6 totality transitivity_leq
% 1.07/1.28
%------------------------------------------------------------------------------