TSTP Solution File: NUM447+5 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM447+5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 : Mon Jul 18 14:26:17 EDT 2022
% Result : Theorem 27.21s 27.41s
% Output : Refutation 36.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM447+5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n005.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 Jul 7 09:20:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 27.21/27.41
% 27.21/27.41 SPASS V 3.9
% 27.21/27.41 SPASS beiseite: Proof found.
% 27.21/27.41 % SZS status Theorem
% 27.21/27.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.21/27.41 SPASS derived 50609 clauses, backtracked 21634 clauses, performed 188 splits and kept 35463 clauses.
% 27.21/27.41 SPASS allocated 139870 KBytes.
% 27.21/27.41 SPASS spent 0:0:27.00 on the problem.
% 27.21/27.41 0:00:00.04 for the input.
% 27.21/27.41 0:00:00.22 for the FLOTTER CNF translation.
% 27.21/27.41 0:00:00.59 for inferences.
% 27.21/27.41 0:00:01.07 for the backtracking.
% 27.21/27.41 0:0:24.62 for the reduction.
% 27.21/27.41
% 27.21/27.41
% 27.21/27.41 Here is a proof with depth 7, length 178 :
% 27.21/27.41 % SZS output start Refutation
% 27.21/27.41 1[0:Inp] || -> aInteger0(skc4)*.
% 27.21/27.41 2[0:Inp] || -> aInteger0(skc3)*.
% 27.21/27.41 3[0:Inp] || -> aInteger0(sz00)*.
% 27.21/27.41 4[0:Inp] || -> aInteger0(sz10)*.
% 27.21/27.41 6[0:Inp] || -> aInteger0(xn)*.
% 27.21/27.41 7[0:Inp] || -> aInteger0(skf32(u))*.
% 27.21/27.41 9[0:Inp] || SkC0* -> isPrime0(skc3).
% 27.21/27.41 10[0:Inp] || -> SkC0* aElementOf0(skc5,xS).
% 27.21/27.41 11[0:Inp] || -> SkC0* aElementOf0(xn,skc5).
% 27.21/27.41 16[0:Inp] || SkC0* -> aDivisorOf0(skc3,xn).
% 27.21/27.41 17[0:Inp] || -> SkC0 aElementOf0(xn,sbsmnsldt0(xS))*.
% 27.21/27.41 18[0:Inp] || SkC0* equal(skc3,sz00) -> .
% 27.21/27.41 19[0:Inp] aInteger0(u) || -> aInteger0(smndt0(u))*.
% 27.21/27.41 25[0:Inp] || aElementOf0(u,xS) -> isPrime0(skf32(u))*.
% 27.21/27.41 26[0:Inp] isPrime0(u) || aDivisorOf0(u,xn)*+ -> SkC0*.
% 27.21/27.41 27[0:Inp] aInteger0(u) || -> equal(sdtpldt0(u,sz00),u)**.
% 27.21/27.41 28[0:Inp] aInteger0(u) || -> equal(sdtpldt0(sz00,u),u)**.
% 27.21/27.41 29[0:Inp] aInteger0(u) || -> equal(sdtasdt0(u,sz10),u)**.
% 27.21/27.41 32[0:Inp] aInteger0(u) || -> equal(sdtasdt0(sz00,u),sz00)**.
% 27.21/27.41 35[0:Inp] aInteger0(u) || -> equal(sdtpldt0(u,smndt0(u)),sz00)**.
% 27.21/27.41 36[0:Inp] aInteger0(u) || -> equal(sdtpldt0(smndt0(u),u),sz00)**.
% 27.21/27.41 37[0:Inp] aInteger0(u) || aDivisorOf0(v,u)* -> aInteger0(v).
% 27.21/27.41 42[0:Inp] || aElementOf0(u,xS) equal(skf32(u),sz00)** -> .
% 27.21/27.41 43[0:Inp] || aElementOf0(u,xS) -> aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,skf32(u)))*.
% 27.21/27.41 44[0:Inp] || SkC0* aElementOf0(u,xS)*+ aElementOf0(xn,u)* -> .
% 27.21/27.41 45[0:Inp] aInteger0(u) aInteger0(v) || -> aInteger0(sdtpldt0(v,u))*.
% 27.21/27.41 46[0:Inp] aInteger0(u) aInteger0(v) || -> aInteger0(sdtasdt0(v,u))*.
% 27.21/27.41 55[0:Inp] || aElementOf0(u,xS) -> equal(szAzrzSzezqlpdtcmdtrp0(sz00,skf32(u)),u)**.
% 27.21/27.41 56[0:Inp] aInteger0(u) || aDivisorOf0(v,u)* equal(v,sz00) -> .
% 27.21/27.41 61[0:Inp] aInteger0(u) aInteger0(v) || -> equal(sdtpldt0(v,u),sdtpldt0(u,v))*.
% 27.21/27.41 63[0:Inp] aInteger0(u) aInteger0(v) || -> equal(u,sz00) sdteqdtlpzmzozddtrp0(v,v,u)*.
% 27.21/27.41 74[0:Inp] aInteger0(u) aInteger0(v) || -> equal(u,sz00) aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(v,u),cS1395)*.
% 27.21/27.41 84[0:Inp] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(sz00,skf32(v)))* aElementOf0(v,xS) -> sdteqdtlpzmzozddtrp0(u,sz00,skf32(v)).
% 27.21/27.41 86[0:Inp] || aElementOf0(u,v)* aElementOf0(u,w)* aSubsetOf0(w,cS1395) equal(v,stldt0(w))*+ -> .
% 27.21/27.41 89[0:Inp] aInteger0(u) aInteger0(v) || equal(sdtasdt0(v,u),sz00)** -> equal(u,sz00) equal(v,sz00).
% 27.21/27.41 95[0:Inp] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(sz00,skf32(v)))* aElementOf0(v,xS) -> aDivisorOf0(skf32(v),sdtpldt0(u,smndt0(sz00)))*.
% 27.21/27.41 96[0:Inp] isPrime0(u) aInteger0(u) || equal(szAzrzSzezqlpdtcmdtrp0(sz00,u),v)*+ -> aElementOf0(v,xS)* equal(u,sz00).
% 27.21/27.41 99[0:Inp] aInteger0(u) || sdteqdtlpzmzozddtrp0(u,sz00,skf32(v)) aElementOf0(v,xS) -> aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(sz00,skf32(v)))*.
% 27.21/27.41 104[0:Inp] aInteger0(u) aInteger0(v) aInteger0(w) || -> equal(sdtpldt0(sdtpldt0(w,v),u),sdtpldt0(w,sdtpldt0(v,u)))**.
% 27.21/27.41 105[0:Inp] aInteger0(u) || aDivisorOf0(skf32(v),sdtpldt0(u,smndt0(sz00)))* aElementOf0(v,xS) -> aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(sz00,skf32(v)))*.
% 27.21/27.41 107[0:Inp] aInteger0(u) aInteger0(v) aInteger0(w) || sdteqdtlpzmzozddtrp0(w,v,u)*+ -> equal(u,sz00) sdteqdtlpzmzozddtrp0(v,w,u)*.
% 27.21/27.41 119[0:Inp] aInteger0(u) aInteger0(v) || aElementOf0(w,x)* equal(x,szAzrzSzezqlpdtcmdtrp0(v,u))*+ -> equal(u,sz00) sdteqdtlpzmzozddtrp0(w,v,u)*.
% 27.21/27.41 121[0:Inp] aInteger0(u) aInteger0(v) aInteger0(w) || sdteqdtlpzmzozddtrp0(w,v,u)*+ -> equal(u,sz00) aDivisorOf0(u,sdtpldt0(w,smndt0(v)))*.
% 27.21/27.41 124[0:Inp] aInteger0(u) aInteger0(v) || equal(sdtasdt0(skf32(w),u),sdtpldt0(v,smndt0(sz00)))* aElementOf0(w,xS) -> aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(sz00,skf32(w)))*.
% 27.21/27.41 126[0:Inp] isPrime0(u) aInteger0(u) aInteger0(v) || aDivisorOf0(u,sdtpldt0(v,smndt0(sz00)))* -> aElementOf0(w,xS)* equal(u,sz00) aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(sz00,u))*.
% 27.21/27.41 140[0:Rew:55.1,43.1] || aElementOf0(u,xS)* -> aSet0(u).
% 27.21/27.41 142[0:Rew:55.1,84.0] || aElementOf0(u,v)*+ aElementOf0(v,xS) -> sdteqdtlpzmzozddtrp0(u,sz00,skf32(v))*.
% 27.21/27.41 143[0:Rew:55.1,95.0] || aElementOf0(u,v)* aElementOf0(v,xS) -> aDivisorOf0(skf32(v),sdtpldt0(u,smndt0(sz00)))*.
% 27.21/27.41 144[0:Rew:55.1,99.3] aInteger0(u) || aElementOf0(v,xS) sdteqdtlpzmzozddtrp0(u,sz00,skf32(v))*+ -> aElementOf0(u,v)*.
% 27.21/27.41 145[0:Rew:55.1,105.3] aInteger0(u) || aElementOf0(v,xS) aDivisorOf0(skf32(v),sdtpldt0(u,smndt0(sz00)))* -> aElementOf0(u,v)*.
% 27.21/27.41 147[0:Rew:55.1,124.4] aInteger0(u) aInteger0(v) || aElementOf0(w,xS) equal(sdtasdt0(skf32(w),v),sdtpldt0(u,smndt0(sz00)))* -> aElementOf0(u,w)*.
% 27.21/27.41 161[0:Res:2.0,119.1] aInteger0(u) || aElementOf0(v,w)* equal(w,szAzrzSzezqlpdtcmdtrp0(u,skc3))*+ -> equal(skc3,sz00) sdteqdtlpzmzozddtrp0(v,u,skc3)*.
% 27.21/27.41 207[0:Res:2.0,89.0] aInteger0(u) || equal(sdtasdt0(skc3,u),sz00)** -> equal(u,sz00) equal(skc3,sz00).
% 27.21/27.41 209[0:Res:2.0,96.0] isPrime0(skc3) || equal(szAzrzSzezqlpdtcmdtrp0(sz00,skc3),u)* -> aElementOf0(u,xS)* equal(skc3,sz00).
% 27.21/27.41 339[0:Res:1.0,35.0] || -> equal(sdtpldt0(skc4,smndt0(skc4)),sz00)**.
% 27.21/27.41 343[0:Res:1.0,28.0] || -> equal(sdtpldt0(sz00,skc4),skc4)**.
% 27.21/27.41 380[1:Spt:207.0,207.1,207.2] aInteger0(u) || equal(sdtasdt0(skc3,u),sz00)** -> equal(u,sz00).
% 27.21/27.41 421[2:Spt:126.0,126.1,126.2,126.3,126.5,126.6] isPrime0(u) aInteger0(u) aInteger0(v) || aDivisorOf0(u,sdtpldt0(v,smndt0(sz00)))*+ -> equal(u,sz00) aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(sz00,u))*.
% 27.21/27.41 431[3:Spt:161.3] || -> equal(skc3,sz00)**.
% 27.21/27.41 434[3:Rew:431.0,380.1] aInteger0(u) || equal(sdtasdt0(sz00,u),sz00)** -> equal(u,sz00).
% 27.21/27.41 451[3:Rew:431.0,18.1] || SkC0* equal(sz00,sz00) -> .
% 27.21/27.41 532[3:Obv:451.1] || SkC0* -> .
% 27.21/27.41 534[3:MRR:10.0,532.0] || -> aElementOf0(skc5,xS)*.
% 27.21/27.41 553[3:Rew:32.1,434.1] aInteger0(u) || equal(sz00,sz00)* -> equal(u,sz00)*.
% 27.21/27.41 554[3:Obv:553.1] aInteger0(u) || -> equal(u,sz00)*.
% 27.21/27.41 724[3:EmS:554.0,7.0] || -> equal(skf32(u),sz00)**.
% 27.21/27.41 767[3:Rew:724.0,42.1] || aElementOf0(u,xS)* equal(sz00,sz00) -> .
% 27.21/27.41 796[3:Obv:767.1] || aElementOf0(u,xS)* -> .
% 27.21/27.41 797[3:UnC:796.0,534.0] || -> .
% 27.21/27.41 819[3:Spt:797.0,161.3,431.0] || equal(skc3,sz00)** -> .
% 27.21/27.41 820[3:Spt:797.0,161.0,161.1,161.2,161.4] aInteger0(u) || aElementOf0(v,w)* equal(w,szAzrzSzezqlpdtcmdtrp0(u,skc3))*+ -> sdteqdtlpzmzozddtrp0(v,u,skc3)*.
% 27.21/27.41 823[3:MRR:209.3,819.0] isPrime0(skc3) || equal(szAzrzSzezqlpdtcmdtrp0(sz00,skc3),u)* -> aElementOf0(u,xS)*.
% 27.21/27.41 1895[0:SpR:36.1,27.1] aInteger0(sz00) aInteger0(smndt0(sz00)) || -> equal(smndt0(sz00),sz00)**.
% 27.21/27.41 1898[0:SSi:1895.1,1895.0,19.0,3.0,3.1] || -> equal(smndt0(sz00),sz00)**.
% 27.21/27.41 1901[0:Rew:1898.0,145.2] aInteger0(u) || aElementOf0(v,xS) aDivisorOf0(skf32(v),sdtpldt0(u,sz00))* -> aElementOf0(u,v)*.
% 27.21/27.41 1902[0:Rew:1898.0,143.2] || aElementOf0(u,v)*+ aElementOf0(v,xS) -> aDivisorOf0(skf32(v),sdtpldt0(u,sz00))*.
% 27.21/27.41 1904[0:Rew:1898.0,147.3] aInteger0(u) aInteger0(v) || aElementOf0(w,xS) equal(sdtasdt0(skf32(w),v),sdtpldt0(u,sz00))* -> aElementOf0(u,w)*.
% 27.21/27.41 1915[2:Rew:1898.0,421.3] isPrime0(u) aInteger0(u) aInteger0(v) || aDivisorOf0(u,sdtpldt0(v,sz00))* -> equal(u,sz00) aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(sz00,u))*.
% 27.21/27.41 1929[0:Rew:27.1,1901.2] aInteger0(u) || aElementOf0(v,xS) aDivisorOf0(skf32(v),u)*+ -> aElementOf0(u,v)*.
% 27.21/27.41 1940[0:Rew:27.1,1904.3] aInteger0(u) aInteger0(v) || aElementOf0(w,xS) equal(sdtasdt0(skf32(w),v),u)*+ -> aElementOf0(u,w)*.
% 27.21/27.41 1941[2:Rew:27.1,1915.3] isPrime0(u) aInteger0(u) aInteger0(v) || aDivisorOf0(u,v) -> equal(u,sz00) aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(sz00,u))*.
% 27.21/27.41 1942[2:MRR:1941.1,1941.4,37.2,56.2] isPrime0(u) aInteger0(v) || aDivisorOf0(u,v) -> aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(sz00,u))*.
% 27.21/27.41 7512[0:SpR:55.1,74.3] aInteger0(skf32(u)) aInteger0(sz00) || aElementOf0(u,xS) -> equal(skf32(u),sz00)** aSubsetOf0(u,cS1395).
% 27.21/27.41 7514[0:SSi:7512.1,7512.0,3.0,7.0] || aElementOf0(u,xS) -> equal(skf32(u),sz00)** aSubsetOf0(u,cS1395).
% 27.21/27.41 7515[0:MRR:7514.1,42.1] || aElementOf0(u,xS) -> aSubsetOf0(u,cS1395)*.
% 27.21/27.41 7839[0:Res:63.3,144.2] aInteger0(skf32(u)) aInteger0(sz00) aInteger0(sz00) || aElementOf0(u,xS) -> equal(skf32(u),sz00)** aElementOf0(sz00,u).
% 27.21/27.41 7850[0:Obv:7839.1] aInteger0(skf32(u)) aInteger0(sz00) || aElementOf0(u,xS) -> equal(skf32(u),sz00)** aElementOf0(sz00,u).
% 36.63/36.82 7851[0:SSi:7850.1,7850.0,3.0,7.0] || aElementOf0(u,xS) -> equal(skf32(u),sz00)** aElementOf0(sz00,u).
% 36.63/36.82 7852[0:MRR:7851.1,42.1] || aElementOf0(u,xS)*+ -> aElementOf0(sz00,u)*.
% 36.63/36.82 9789[0:EqR:86.3] || aElementOf0(u,stldt0(v))* aElementOf0(u,v) aSubsetOf0(v,cS1395) -> .
% 36.63/36.82 10170[0:EqR:1940.3] aInteger0(sdtasdt0(skf32(u),v)) aInteger0(v) || aElementOf0(u,xS) -> aElementOf0(sdtasdt0(skf32(u),v),u)*.
% 36.63/36.82 10181[0:SSi:10170.0,46.0,7.2] aInteger0(u) || aElementOf0(v,xS) -> aElementOf0(sdtasdt0(skf32(v),u),v)*.
% 36.63/36.82 10266[0:SpR:343.0,104.3] aInteger0(u) aInteger0(skc4) aInteger0(sz00) || -> equal(sdtpldt0(sz00,sdtpldt0(skc4,u)),sdtpldt0(skc4,u))**.
% 36.63/36.82 10302[0:SSi:10266.2,10266.1,3.0,1.0] aInteger0(u) || -> equal(sdtpldt0(sz00,sdtpldt0(skc4,u)),sdtpldt0(skc4,u))**.
% 36.63/36.82 19813[0:SpR:29.1,10181.2] aInteger0(skf32(u)) aInteger0(sz10) || aElementOf0(u,xS) -> aElementOf0(skf32(u),u)*.
% 36.63/36.82 19848[0:SSi:19813.1,19813.0,4.0,7.0] || aElementOf0(u,xS) -> aElementOf0(skf32(u),u)*.
% 36.63/36.82 19888[0:Res:19848.1,142.0] || aElementOf0(u,xS) aElementOf0(u,xS) -> sdteqdtlpzmzozddtrp0(skf32(u),sz00,skf32(u))*.
% 36.63/36.82 19896[0:Obv:19888.0] || aElementOf0(u,xS) -> sdteqdtlpzmzozddtrp0(skf32(u),sz00,skf32(u))*.
% 36.63/36.82 22402[0:Res:19896.1,107.3] aInteger0(skf32(u)) aInteger0(sz00) aInteger0(skf32(u)) || aElementOf0(u,xS) -> equal(skf32(u),sz00) sdteqdtlpzmzozddtrp0(sz00,skf32(u),skf32(u))*.
% 36.63/36.82 22404[0:Obv:22402.0] aInteger0(sz00) aInteger0(skf32(u)) || aElementOf0(u,xS) -> equal(skf32(u),sz00) sdteqdtlpzmzozddtrp0(sz00,skf32(u),skf32(u))*.
% 36.63/36.82 22405[0:SSi:22404.1,22404.0,7.0,3.0] || aElementOf0(u,xS) -> equal(skf32(u),sz00) sdteqdtlpzmzozddtrp0(sz00,skf32(u),skf32(u))*.
% 36.63/36.82 22406[0:MRR:22405.1,42.1] || aElementOf0(u,xS) -> sdteqdtlpzmzozddtrp0(sz00,skf32(u),skf32(u))*.
% 36.63/36.82 31335[0:Res:22406.1,121.3] aInteger0(skf32(u)) aInteger0(skf32(u)) aInteger0(sz00) || aElementOf0(u,xS) -> equal(skf32(u),sz00) aDivisorOf0(skf32(u),sdtpldt0(sz00,smndt0(skf32(u))))*.
% 36.63/36.82 31339[0:Obv:31335.0] aInteger0(skf32(u)) aInteger0(sz00) || aElementOf0(u,xS) -> equal(skf32(u),sz00) aDivisorOf0(skf32(u),sdtpldt0(sz00,smndt0(skf32(u))))*.
% 36.63/36.82 35184[0:SSi:31339.1,31339.0,3.0,7.0] || aElementOf0(u,xS) -> equal(skf32(u),sz00) aDivisorOf0(skf32(u),sdtpldt0(sz00,smndt0(skf32(u))))*.
% 36.63/36.82 35185[0:MRR:35184.1,42.1] || aElementOf0(u,xS) -> aDivisorOf0(skf32(u),sdtpldt0(sz00,smndt0(skf32(u))))*.
% 36.63/36.82 35225[4:Spt:44.1,44.2] || aElementOf0(u,xS)*+ aElementOf0(xn,u)* -> .
% 36.63/36.82 35234[5:Spt:26.0,26.1] isPrime0(u) || aDivisorOf0(u,xn)* -> .
% 36.63/36.82 35235[6:Spt:9.1] || -> isPrime0(skc3)*.
% 36.63/36.82 35257[7:Spt:17.0] || -> SkC0*.
% 36.63/36.82 35258[7:MRR:16.0,35257.0] || -> aDivisorOf0(skc3,xn)*.
% 36.63/36.82 35264[7:Res:35258.0,35234.1] isPrime0(skc3) || -> .
% 36.63/36.82 35265[7:SSi:35264.0,2.0,35235.0] || -> .
% 36.63/36.82 35267[7:Spt:35265.0,17.0,35257.0] || SkC0* -> .
% 36.63/36.82 35268[7:Spt:35265.0,17.1] || -> aElementOf0(xn,sbsmnsldt0(xS))*.
% 36.63/36.82 35269[7:MRR:10.0,35267.0] || -> aElementOf0(skc5,xS)*.
% 36.63/36.82 35270[7:MRR:11.0,35267.0] || -> aElementOf0(xn,skc5)*.
% 36.63/36.82 35279[7:Res:35269.0,35225.0] || aElementOf0(xn,skc5)* -> .
% 36.63/36.82 35282[7:MRR:35279.0,35270.0] || -> .
% 36.63/36.82 35283[6:Spt:35282.0,9.1,35235.0] || isPrime0(skc3)* -> .
% 36.63/36.82 35284[6:Spt:35282.0,9.0] || SkC0* -> .
% 36.63/36.82 35285[6:MRR:10.0,35284.0] || -> aElementOf0(skc5,xS)*.
% 36.63/36.82 35286[6:MRR:11.0,35284.0] || -> aElementOf0(xn,skc5)*.
% 36.63/36.82 35293[6:Res:35285.0,35225.0] || aElementOf0(xn,skc5)* -> .
% 36.63/36.82 35296[6:MRR:35293.0,35286.0] || -> .
% 36.63/36.82 35297[5:Spt:35296.0,26.2] || -> SkC0*.
% 36.63/36.82 35298[5:MRR:9.0,35297.0] || -> isPrime0(skc3)*.
% 36.63/36.82 35305[5:MRR:823.0,35298.0] || equal(szAzrzSzezqlpdtcmdtrp0(sz00,skc3),u)*+ -> aElementOf0(u,xS)*.
% 36.63/36.82 35319[5:MRR:16.0,35297.0] || -> aDivisorOf0(skc3,xn)*.
% 36.63/36.82 36533[5:EqR:35305.0] || -> aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,skc3),xS)*.
% 36.63/36.82 36535[5:Res:36533.0,35225.0] || aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,skc3))* -> .
% 36.63/36.82 42370[0:SpR:339.0,10302.1] aInteger0(smndt0(skc4)) || -> equal(sdtpldt0(sz00,sz00),sz00)**.
% 36.63/36.82 42378[0:SSi:42370.0,19.0,1.1] || -> equal(sdtpldt0(sz00,sz00),sz00)**.
% 36.63/36.82 49088[0:Res:35185.1,1929.2] aInteger0(sdtpldt0(sz00,smndt0(skf32(u)))) || aElementOf0(u,xS) aElementOf0(u,xS) -> aElementOf0(sdtpldt0(sz00,smndt0(skf32(u))),u)*.
% 36.63/36.82 49090[0:Obv:49088.1] aInteger0(sdtpldt0(sz00,smndt0(skf32(u)))) || aElementOf0(u,xS) -> aElementOf0(sdtpldt0(sz00,smndt0(skf32(u))),u)*.
% 36.63/36.82 49091[0:SSi:49090.0,45.0,3.1,19.0,7.2] || aElementOf0(u,xS) -> aElementOf0(sdtpldt0(sz00,smndt0(skf32(u))),u)*.
% 36.63/36.82 49908[0:Res:49091.1,9789.0] || aElementOf0(stldt0(u),xS) aElementOf0(sdtpldt0(sz00,smndt0(skf32(stldt0(u)))),u)* aSubsetOf0(u,cS1395) -> .
% 36.63/36.82 61419[5:Res:1942.3,36535.0] isPrime0(skc3) aInteger0(xn) || aDivisorOf0(skc3,xn)* -> .
% 36.63/36.82 61432[5:SSi:61419.1,61419.0,6.0,2.0,35298.0] || aDivisorOf0(skc3,xn)* -> .
% 36.63/36.82 61433[5:MRR:61432.0,35319.0] || -> .
% 36.63/36.82 61449[4:Spt:61433.0,44.0] || SkC0* -> .
% 36.63/36.82 61450[4:MRR:10.0,61449.0] || -> aElementOf0(skc5,xS)*.
% 36.63/36.82 61451[4:MRR:11.0,61449.0] || -> aElementOf0(xn,skc5)*.
% 36.63/36.82 61455[4:MRR:26.2,61449.0] isPrime0(u) || aDivisorOf0(u,xn)* -> .
% 36.63/36.82 61527[4:Res:61450.0,7852.0] || -> aElementOf0(sz00,skc5)*.
% 36.63/36.82 61528[4:Res:61450.0,140.0] || -> aSet0(skc5)*.
% 36.63/36.82 61535[4:Res:61451.0,142.0] || aElementOf0(skc5,xS) -> sdteqdtlpzmzozddtrp0(xn,sz00,skf32(skc5))*.
% 36.63/36.82 61540[4:MRR:61535.0,61450.0] || -> sdteqdtlpzmzozddtrp0(xn,sz00,skf32(skc5))*.
% 36.63/36.82 61545[4:Res:61527.0,1902.0] || aElementOf0(skc5,xS) -> aDivisorOf0(skf32(skc5),sdtpldt0(sz00,sz00))*.
% 36.63/36.82 61552[4:Rew:42378.0,61545.1] || aElementOf0(skc5,xS) -> aDivisorOf0(skf32(skc5),sz00)*.
% 36.63/36.82 61553[4:MRR:61552.0,61450.0] || -> aDivisorOf0(skf32(skc5),sz00)*.
% 36.63/36.82 61571[4:Res:61553.0,56.1] aInteger0(sz00) || equal(skf32(skc5),sz00)** -> .
% 36.63/36.82 61574[4:SSi:61571.0,3.0] || equal(skf32(skc5),sz00)** -> .
% 36.63/36.82 61576[4:Res:61540.0,121.3] aInteger0(skf32(skc5)) aInteger0(sz00) aInteger0(xn) || -> equal(skf32(skc5),sz00) aDivisorOf0(skf32(skc5),sdtpldt0(xn,smndt0(sz00)))*.
% 36.63/36.82 61582[4:Rew:28.1,61576.4,61.2,61576.4,1898.0,61576.4] aInteger0(skf32(skc5)) aInteger0(sz00) aInteger0(xn) || -> equal(skf32(skc5),sz00) aDivisorOf0(skf32(skc5),xn)*.
% 36.63/36.82 61583[4:SSi:61582.2,61582.1,61582.0,6.0,3.0,7.0,61528.0] || -> equal(skf32(skc5),sz00) aDivisorOf0(skf32(skc5),xn)*.
% 36.63/36.82 61584[4:MRR:61583.0,61574.0] || -> aDivisorOf0(skf32(skc5),xn)*.
% 36.63/36.82 61601[4:Res:61584.0,61455.1] isPrime0(skf32(skc5)) || -> .
% 36.63/36.82 61602[4:SoR:61601.0,25.1] || aElementOf0(skc5,xS)* -> .
% 36.63/36.82 61603[4:MRR:61602.0,61450.0] || -> .
% 36.63/36.82 61604[2:Spt:61603.0,126.4] || -> aElementOf0(u,xS)*.
% 36.63/36.82 61610[2:MRR:7515.0,61604.0] || -> aSubsetOf0(u,cS1395)*.
% 36.63/36.82 61912[2:MRR:49908.0,61604.0] || aElementOf0(sdtpldt0(sz00,smndt0(skf32(stldt0(u)))),u)* aSubsetOf0(u,cS1395) -> .
% 36.63/36.82 62165[2:MRR:61912.1,61610.0] || aElementOf0(sdtpldt0(sz00,smndt0(skf32(stldt0(u)))),u)* -> .
% 36.63/36.82 62166[2:UnC:62165.0,61604.0] || -> .
% 36.63/36.82 62237[1:Spt:62166.0,207.3] || -> equal(skc3,sz00)**.
% 36.63/36.82 62314[1:Rew:62237.0,18.1] || SkC0* equal(sz00,sz00) -> .
% 36.63/36.82 62315[1:Obv:62314.1] || SkC0* -> .
% 36.63/36.82 62316[1:MRR:11.0,62315.0] || -> aElementOf0(xn,skc5)*.
% 36.63/36.82 62318[1:MRR:26.2,62315.0] isPrime0(u) || aDivisorOf0(u,xn)* -> .
% 36.63/36.82 62320[1:MRR:10.0,62315.0] || -> aElementOf0(skc5,xS)*.
% 36.63/36.82 70549[1:Res:62316.0,1902.0] || aElementOf0(skc5,xS) -> aDivisorOf0(skf32(skc5),sdtpldt0(xn,sz00))*.
% 36.63/36.82 70558[1:MRR:70549.0,62320.0] || -> aDivisorOf0(skf32(skc5),sdtpldt0(xn,sz00))*.
% 36.63/36.82 70572[1:SpR:27.1,70558.0] aInteger0(xn) || -> aDivisorOf0(skf32(skc5),xn)*.
% 36.63/36.82 70577[1:SSi:70572.0,6.0] || -> aDivisorOf0(skf32(skc5),xn)*.
% 36.63/36.82 70582[1:Res:70577.0,62318.1] isPrime0(skf32(skc5)) || -> .
% 36.63/36.82 70609[1:SoR:70582.0,25.1] || aElementOf0(skc5,xS)* -> .
% 36.63/36.82 70610[1:MRR:70609.0,62320.0] || -> .
% 36.63/36.82 % SZS output end Refutation
% 36.63/36.82 Formulae used in the proof : m__ m__2106 mIntZero mIntOne m__2046 mIntNeg mAddZero mMulOne mMulZero mAddNeg mDivisor mIntPlus mIntMult mAddComm mEquModRef mArSeqClosed mComplement mZeroDiv mAddAsso mEquModSym mArSeq mEquMod
% 36.63/36.82
%------------------------------------------------------------------------------