TSTP Solution File: NUM440+6 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM440+6 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 14:26:13 EDT 2022

% Result   : Theorem 1.17s 1.33s
% Output   : Refutation 1.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : NUM440+6 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command  : run_spass %d %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Wed Jul  6 22:03:29 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 1.17/1.33  
% 1.17/1.33  SPASS V 3.9 
% 1.17/1.33  SPASS beiseite: Proof found.
% 1.17/1.33  % SZS status Theorem
% 1.17/1.33  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.17/1.33  SPASS derived 3141 clauses, backtracked 1370 clauses, performed 104 splits and kept 2961 clauses.
% 1.17/1.33  SPASS allocated 100797 KBytes.
% 1.17/1.33  SPASS spent	0:00:00.95 on the problem.
% 1.17/1.33  		0:00:00.04 for the input.
% 1.17/1.33  		0:00:00.23 for the FLOTTER CNF translation.
% 1.17/1.33  		0:00:00.04 for inferences.
% 1.17/1.33  		0:00:00.02 for the backtracking.
% 1.17/1.33  		0:00:00.57 for the reduction.
% 1.17/1.33  
% 1.17/1.33  
% 1.17/1.33  Here is a proof with depth 3, length 157 :
% 1.17/1.33  % SZS output start Refutation
% 1.17/1.33  1[0:Inp] ||  -> aInteger0(sz00)*.
% 1.17/1.33  2[0:Inp] ||  -> aInteger0(sz10)*.
% 1.17/1.33  10[0:Inp] ||  -> aInteger0(skf33(u))*.
% 1.17/1.33  11[0:Inp] ||  -> aInteger0(skf31(u))*.
% 1.17/1.33  13[0:Inp] ||  -> aSubsetOf0(xB,cS1395)*.
% 1.17/1.33  24[0:Inp] ||  -> SkC0 aElementOf0(skc4,stldt0(xA))*.
% 1.17/1.33  25[0:Inp] || aElementOf0(skc4,cS1395) -> SkC0*.
% 1.17/1.33  26[0:Inp] ||  -> SkC1 aElementOf0(skc5,stldt0(xB))*.
% 1.17/1.33  27[0:Inp] || aElementOf0(skc5,cS1395) -> SkC1*.
% 1.17/1.33  33[0:Inp] aInteger0(u) ||  -> aElementOf0(u,cS1395)*.
% 1.17/1.33  42[0:Inp] || aElementOf0(u,stldt0(xA))* -> aInteger0(u).
% 1.17/1.33  43[0:Inp] || aElementOf0(u,stldt0(xB))* -> aInteger0(u).
% 1.17/1.33  47[0:Inp] aInteger0(u) ||  -> equal(sdtpldt0(u,sz00),u)**.
% 1.17/1.33  50[0:Inp] aInteger0(u) ||  -> equal(sdtasdt0(sz10,u),u)**.
% 1.17/1.33  52[0:Inp] aInteger0(u) ||  -> equal(sdtasdt0(sz00,u),sz00)**.
% 1.17/1.33  56[0:Inp] aInteger0(u) ||  -> equal(sdtpldt0(u,smndt0(u)),sz00)**.
% 1.17/1.33  63[0:Inp] || aElementOf0(u,xA) aElementOf0(u,stldt0(xA))* -> .
% 1.17/1.33  64[0:Inp] || aElementOf0(u,xB) aElementOf0(u,stldt0(xB))* -> .
% 1.17/1.33  77[0:Inp] aInteger0(u) ||  -> aElementOf0(u,xA) aElementOf0(u,stldt0(xA))*.
% 1.17/1.33  78[0:Inp] || aElementOf0(u,stldt0(xA)) equal(skf31(u),sz00)** -> .
% 1.17/1.33  80[0:Inp] aInteger0(u) ||  -> aElementOf0(u,xB) aElementOf0(u,stldt0(xB))*.
% 1.17/1.33  81[0:Inp] || aElementOf0(u,stldt0(xB)) equal(skf33(u),sz00)** -> .
% 1.17/1.33  93[0:Inp] || SkC0 SkC1 -> aInteger0(skc3) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  96[0:Inp] || SkC1 SkC0 aElementOf0(u,stldt0(sdtbsmnsldt0(xA,xB)))* -> aInteger0(u).
% 1.17/1.33  102[0:Inp] aInteger0(u) ||  -> isPrime0(skf18(v))* equal(u,sz10) equal(u,smndt0(sz10))*.
% 1.17/1.33  105[0:Inp] || SkC1 SkC0 -> aElementOf0(skc3,stldt0(xA)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  106[0:Inp] || SkC1 SkC0 -> aElementOf0(skc3,stldt0(xB)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  121[0:Inp] || aElementOf0(u,v)* aSubsetOf0(w,cS1395) equal(v,stldt0(w))*+ -> aInteger0(u).
% 1.17/1.33  123[0:Inp] || SkC1 SkC0 aElementOf0(u,sdtbsmnsldt0(xA,xB))* -> aElementOf0(u,xB) aElementOf0(u,xA).
% 1.17/1.33  124[0:Inp] aInteger0(u) || SkC1 SkC0 aElementOf0(u,xA) -> aElementOf0(u,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.33  125[0:Inp] aInteger0(u) || SkC1 SkC0 aElementOf0(u,xB) -> aElementOf0(u,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.33  130[0:Inp] || SkC1 SkC0 aElementOf0(u,stldt0(sdtbsmnsldt0(xA,xB)))* aElementOf0(u,sdtbsmnsldt0(xA,xB)) -> .
% 1.17/1.33  136[0:Inp] aInteger0(u) || SkC1 SkC0 -> aElementOf0(u,stldt0(sdtbsmnsldt0(xA,xB)))* aElementOf0(u,sdtbsmnsldt0(xA,xB)).
% 1.17/1.33  168[0:Inp] || aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))* aInteger0(skc3) aElementOf0(skc3,stldt0(xA)) aElementOf0(skc3,stldt0(xB)) SkC0 SkC1 -> .
% 1.17/1.33  183[0:MRR:93.3,96.0] || SkC1* SkC0 -> aInteger0(skc3).
% 1.17/1.33  184[0:MRR:168.1,183.2] || SkC1 SkC0 aElementOf0(skc3,stldt0(xB)) aElementOf0(skc3,stldt0(xA)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))* -> .
% 1.17/1.33  193[0:Res:2.0,124.0] || SkC1 SkC0 aElementOf0(sz10,xA) -> aElementOf0(sz10,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.33  211[1:Spt:125.0,125.3,125.4] aInteger0(u) || aElementOf0(u,xB) -> aElementOf0(u,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.33  213[2:Spt:124.0,124.3,124.4] aInteger0(u) || aElementOf0(u,xA) -> aElementOf0(u,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.33  215[3:Spt:130.1] || SkC0* -> .
% 1.17/1.33  216[3:MRR:25.1,215.0] || aElementOf0(skc4,cS1395)* -> .
% 1.17/1.33  217[3:MRR:24.0,215.0] ||  -> aElementOf0(skc4,stldt0(xA))*.
% 1.17/1.33  247[3:Res:33.1,216.0] aInteger0(skc4) ||  -> .
% 1.17/1.33  294[3:Res:217.0,42.0] ||  -> aInteger0(skc4)*.
% 1.17/1.33  295[3:MRR:294.0,247.0] ||  -> .
% 1.17/1.33  296[3:Spt:295.0,130.1,215.0] ||  -> SkC0*.
% 1.17/1.33  297[3:Spt:295.0,130.0,130.2,130.3] || SkC1 aElementOf0(u,stldt0(sdtbsmnsldt0(xA,xB)))* aElementOf0(u,sdtbsmnsldt0(xA,xB)) -> .
% 1.17/1.33  298[3:MRR:183.1,296.0] || SkC1* -> aInteger0(skc3).
% 1.17/1.33  302[3:MRR:193.1,296.0] || SkC1 aElementOf0(sz10,xA) -> aElementOf0(sz10,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.33  305[3:MRR:106.1,296.0] || SkC1 -> aElementOf0(skc3,stldt0(xB)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  306[3:MRR:105.1,296.0] || SkC1 -> aElementOf0(skc3,stldt0(xA)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  314[3:MRR:123.1,296.0] || SkC1 aElementOf0(u,sdtbsmnsldt0(xA,xB))* -> aElementOf0(u,xB) aElementOf0(u,xA).
% 1.17/1.33  325[3:MRR:136.2,296.0] aInteger0(u) || SkC1 -> aElementOf0(u,stldt0(sdtbsmnsldt0(xA,xB)))* aElementOf0(u,sdtbsmnsldt0(xA,xB)).
% 1.17/1.33  330[3:MRR:184.1,296.0] || SkC1 aElementOf0(skc3,stldt0(xB)) aElementOf0(skc3,stldt0(xA)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))* -> .
% 1.17/1.33  331[4:Spt:102.0,102.2,102.3] aInteger0(u) ||  -> equal(u,sz10) equal(u,smndt0(sz10))*.
% 1.17/1.33  359[5:Spt:27.1] ||  -> SkC1*.
% 1.17/1.33  360[5:MRR:297.0,359.0] || aElementOf0(u,stldt0(sdtbsmnsldt0(xA,xB)))* aElementOf0(u,sdtbsmnsldt0(xA,xB)) -> .
% 1.17/1.33  361[5:MRR:298.0,359.0] ||  -> aInteger0(skc3)*.
% 1.17/1.33  365[5:MRR:302.0,359.0] || aElementOf0(sz10,xA) -> aElementOf0(sz10,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.33  369[5:MRR:306.0,359.0] ||  -> aElementOf0(skc3,stldt0(xA)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  534[4:SpR:331.2,56.1] aInteger0(u) aInteger0(sz10) ||  -> equal(u,sz10) equal(sdtpldt0(sz10,u),sz00)**.
% 1.17/1.33  536[4:SSi:534.1,2.0] aInteger0(u) ||  -> equal(u,sz10) equal(sdtpldt0(sz10,u),sz00)**.
% 1.17/1.33  862[4:SpR:536.2,47.1] aInteger0(sz00) aInteger0(sz10) ||  -> equal(sz10,sz00)** equal(sz10,sz00)**.
% 1.17/1.33  864[4:Obv:862.2] aInteger0(sz00) aInteger0(sz10) ||  -> equal(sz10,sz00)**.
% 1.17/1.33  865[4:SSi:864.1,864.0,2.0,1.0] ||  -> equal(sz10,sz00)**.
% 1.17/1.33  877[4:Rew:865.0,50.1] aInteger0(u) ||  -> equal(sdtasdt0(sz00,u),u)**.
% 1.17/1.33  973[4:Rew:52.1,877.1] aInteger0(u) ||  -> equal(sz00,u)*.
% 1.17/1.33  975[5:Rew:865.0,365.1,865.0,365.0] || aElementOf0(sz00,xA) -> aElementOf0(sz00,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.33  1169[5:EmS:973.0,361.0] ||  -> equal(skc3,sz00)**.
% 1.17/1.33  1533[0:EqR:121.2] || aElementOf0(u,stldt0(v))* aSubsetOf0(v,cS1395) -> aInteger0(u).
% 1.17/1.33  1877[5:Rew:1169.0,369.1,1169.0,369.0] ||  -> aElementOf0(sz00,stldt0(xA)) aElementOf0(sz00,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  1987[4:EmS:973.0,11.0] ||  -> equal(skf31(u),sz00)**.
% 1.17/1.33  2000[4:Rew:1987.0,78.1] || aElementOf0(u,stldt0(xA))* equal(sz00,sz00) -> .
% 1.17/1.33  2006[4:Obv:2000.1] || aElementOf0(u,stldt0(xA))* -> .
% 1.17/1.33  2007[4:MRR:77.2,2006.0] aInteger0(u) ||  -> aElementOf0(u,xA)*.
% 1.17/1.33  2103[5:MRR:1877.0,2006.0] ||  -> aElementOf0(sz00,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  2112[4:EmS:973.0,10.0] ||  -> equal(skf33(u),sz00)**.
% 1.17/1.33  2125[4:Rew:2112.0,81.1] || aElementOf0(u,stldt0(xB))* equal(sz00,sz00) -> .
% 1.17/1.33  2131[4:Obv:2125.1] || aElementOf0(u,stldt0(xB))* -> .
% 1.17/1.33  2149[5:Res:2103.0,360.0] || aElementOf0(sz00,sdtbsmnsldt0(xA,xB))* -> .
% 1.17/1.33  2154[5:MRR:975.1,2149.0] || aElementOf0(sz00,xA)* -> .
% 1.17/1.33  2170[5:Res:2007.1,2154.0] aInteger0(sz00) ||  -> .
% 1.17/1.33  2171[5:SSi:2170.0,1.0] ||  -> .
% 1.17/1.33  2175[5:Spt:2171.0,27.1,359.0] || SkC1* -> .
% 1.17/1.33  2176[5:Spt:2171.0,27.0] || aElementOf0(skc5,cS1395)* -> .
% 1.17/1.33  2177[4:MRR:26.1,2131.0] ||  -> SkC1*.
% 1.17/1.33  2178[5:MRR:2177.0,2175.0] ||  -> .
% 1.17/1.33  2184[4:Spt:2178.0,102.1] ||  -> isPrime0(skf18(u))*.
% 1.17/1.33  2185[5:Spt:26.0] ||  -> SkC1*.
% 1.17/1.33  2186[5:MRR:298.0,2185.0] ||  -> aInteger0(skc3)*.
% 1.17/1.33  2193[5:MRR:306.0,2185.0] ||  -> aElementOf0(skc3,stldt0(xA)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  2194[5:MRR:305.0,2185.0] ||  -> aElementOf0(skc3,stldt0(xB)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.33  2202[5:MRR:314.0,2185.0] || aElementOf0(u,sdtbsmnsldt0(xA,xB))* -> aElementOf0(u,xB) aElementOf0(u,xA).
% 1.17/1.33  2203[5:MRR:297.0,2185.0] || aElementOf0(u,stldt0(sdtbsmnsldt0(xA,xB)))* aElementOf0(u,sdtbsmnsldt0(xA,xB)) -> .
% 1.17/1.33  2214[5:MRR:325.1,2185.0] aInteger0(u) ||  -> aElementOf0(u,stldt0(sdtbsmnsldt0(xA,xB)))* aElementOf0(u,sdtbsmnsldt0(xA,xB)).
% 1.17/1.33  2219[5:MRR:330.0,2185.0] || aElementOf0(skc3,stldt0(xB)) aElementOf0(skc3,stldt0(xA)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))* -> .
% 1.17/1.33  2310[6:Spt:2193.0] ||  -> aElementOf0(skc3,stldt0(xA))*.
% 1.17/1.33  2311[6:MRR:2219.1,2310.0] || aElementOf0(skc3,stldt0(xB)) aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))* -> .
% 1.17/1.33  2313[6:Res:2310.0,63.1] || aElementOf0(skc3,xA)* -> .
% 1.17/1.33  2317[7:Spt:2194.0] ||  -> aElementOf0(skc3,stldt0(xB))*.
% 1.17/1.33  2318[7:MRR:2311.0,2317.0] || aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))* -> .
% 1.17/1.33  2320[7:Res:2317.0,64.1] || aElementOf0(skc3,xB)* -> .
% 1.17/1.36  2729[7:Res:2214.1,2318.0] aInteger0(skc3) ||  -> aElementOf0(skc3,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.36  2730[7:SSi:2729.0,2186.0] ||  -> aElementOf0(skc3,sdtbsmnsldt0(xA,xB))*.
% 1.17/1.36  2732[7:Res:2730.0,2202.0] ||  -> aElementOf0(skc3,xB)* aElementOf0(skc3,xA).
% 1.17/1.36  2736[7:MRR:2732.0,2732.1,2320.0,2313.0] ||  -> .
% 1.17/1.36  2737[7:Spt:2736.0,2194.0,2317.0] || aElementOf0(skc3,stldt0(xB))* -> .
% 1.17/1.36  2738[7:Spt:2736.0,2194.1] ||  -> aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.36  2746[7:Res:80.2,2737.0] aInteger0(skc3) ||  -> aElementOf0(skc3,xB)*.
% 1.17/1.36  2747[7:SSi:2746.0,2186.0] ||  -> aElementOf0(skc3,xB)*.
% 1.17/1.36  3421[7:Res:2738.0,2203.0] || aElementOf0(skc3,sdtbsmnsldt0(xA,xB))* -> .
% 1.17/1.36  3477[7:Res:211.2,3421.0] aInteger0(skc3) || aElementOf0(skc3,xB)* -> .
% 1.17/1.36  3478[7:SSi:3477.0,2186.0] || aElementOf0(skc3,xB)* -> .
% 1.17/1.36  3479[7:MRR:3478.0,2747.0] ||  -> .
% 1.17/1.36  3480[6:Spt:3479.0,2193.0,2310.0] || aElementOf0(skc3,stldt0(xA))* -> .
% 1.17/1.36  3481[6:Spt:3479.0,2193.1] ||  -> aElementOf0(skc3,stldt0(sdtbsmnsldt0(xA,xB)))*.
% 1.17/1.36  3482[6:Res:3481.0,2203.0] || aElementOf0(skc3,sdtbsmnsldt0(xA,xB))* -> .
% 1.17/1.36  3487[6:Res:77.2,3480.0] aInteger0(skc3) ||  -> aElementOf0(skc3,xA)*.
% 1.17/1.36  3488[6:SSi:3487.0,2186.0] ||  -> aElementOf0(skc3,xA)*.
% 1.17/1.36  4130[6:Res:213.2,3482.0] aInteger0(skc3) || aElementOf0(skc3,xA)* -> .
% 1.17/1.36  4131[6:SSi:4130.0,2186.0] || aElementOf0(skc3,xA)* -> .
% 1.17/1.36  4132[6:MRR:4131.0,3488.0] ||  -> .
% 1.17/1.36  4133[5:Spt:4132.0,26.0,2185.0] || SkC1* -> .
% 1.17/1.36  4134[5:Spt:4132.0,26.1] ||  -> aElementOf0(skc5,stldt0(xB))*.
% 1.17/1.36  4135[5:MRR:27.1,4133.0] || aElementOf0(skc5,cS1395)* -> .
% 1.17/1.36  4139[5:Res:4134.0,43.0] ||  -> aInteger0(skc5)*.
% 1.17/1.36  4142[5:Res:33.1,4135.0] aInteger0(skc5) ||  -> .
% 1.17/1.36  4143[5:SSi:4142.0,4139.0] ||  -> .
% 1.17/1.36  4144[2:Spt:4143.0,124.1,124.2] || SkC1* SkC0 -> .
% 1.17/1.36  4397[3:Spt:27.1] ||  -> SkC1*.
% 1.17/1.36  4398[3:MRR:4144.0,4397.0] || SkC0* -> .
% 1.17/1.36  4399[3:MRR:24.0,4398.0] ||  -> aElementOf0(skc4,stldt0(xA))*.
% 1.17/1.36  4400[3:MRR:25.1,4398.0] || aElementOf0(skc4,cS1395)* -> .
% 1.17/1.36  4405[3:Res:4399.0,42.0] ||  -> aInteger0(skc4)*.
% 1.17/1.36  4408[3:Res:33.1,4400.0] aInteger0(skc4) ||  -> .
% 1.17/1.36  4409[3:SSi:4408.0,4405.0] ||  -> .
% 1.17/1.36  4410[3:Spt:4409.0,27.1,4397.0] || SkC1* -> .
% 1.17/1.36  4411[3:Spt:4409.0,27.0] || aElementOf0(skc5,cS1395)* -> .
% 1.17/1.36  4412[3:MRR:26.0,4410.0] ||  -> aElementOf0(skc5,stldt0(xB))*.
% 1.17/1.36  4414[3:Res:33.1,4411.0] aInteger0(skc5) ||  -> .
% 1.17/1.36  4417[3:Res:4412.0,1533.0] || aSubsetOf0(xB,cS1395)* -> aInteger0(skc5).
% 1.17/1.36  4423[3:MRR:4417.0,13.0] ||  -> aInteger0(skc5)*.
% 1.17/1.36  4424[3:MRR:4423.0,4414.0] ||  -> .
% 1.17/1.36  4425[1:Spt:4424.0,125.1,125.2] || SkC1* SkC0 -> .
% 1.17/1.36  4676[2:Spt:24.0] ||  -> SkC0*.
% 1.17/1.36  4677[2:MRR:4425.1,4676.0] || SkC1* -> .
% 1.17/1.36  4678[2:MRR:26.0,4677.0] ||  -> aElementOf0(skc5,stldt0(xB))*.
% 1.17/1.36  4679[2:MRR:27.1,4677.0] || aElementOf0(skc5,cS1395)* -> .
% 1.17/1.36  4684[2:Res:4678.0,43.0] ||  -> aInteger0(skc5)*.
% 1.17/1.36  4687[2:Res:33.1,4679.0] aInteger0(skc5) ||  -> .
% 1.17/1.36  4688[2:SSi:4687.0,4684.0] ||  -> .
% 1.17/1.36  4689[2:Spt:4688.0,24.0,4676.0] || SkC0* -> .
% 1.17/1.36  4690[2:Spt:4688.0,24.1] ||  -> aElementOf0(skc4,stldt0(xA))*.
% 1.17/1.36  4691[2:MRR:25.1,4689.0] || aElementOf0(skc4,cS1395)* -> .
% 1.17/1.36  4696[2:Res:4690.0,42.0] ||  -> aInteger0(skc4)*.
% 1.17/1.36  4700[2:Res:33.1,4691.0] aInteger0(skc4) ||  -> .
% 1.17/1.36  4701[2:SSi:4700.0,4696.0] ||  -> .
% 1.17/1.36  % SZS output end Refutation
% 1.17/1.36  Formulae used in the proof : mIntZero mIntOne m__1826 m__ mAddZero mMulOne mMulZero mAddNeg mPrimeDivisor mComplement
% 1.17/1.36  
%------------------------------------------------------------------------------