TSTP Solution File: RNG062+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG062+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 20:41:21 EDT 2022
% Result : Theorem 247.77s 247.98s
% Output : Refutation 281.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of clauses : 91 ( 45 unt; 0 nHn; 91 RR)
% Number of literals : 201 ( 0 equ; 120 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
aScalar0(xA),
file('RNG062+1.p',unknown),
[] ).
cnf(10,axiom,
aScalar0(xD),
file('RNG062+1.p',unknown),
[] ).
cnf(12,axiom,
aScalar0(xF),
file('RNG062+1.p',unknown),
[] ).
cnf(15,axiom,
aScalar0(xR),
file('RNG062+1.p',unknown),
[] ).
cnf(17,axiom,
aScalar0(xS),
file('RNG062+1.p',unknown),
[] ).
cnf(18,axiom,
aScalar0(xN),
file('RNG062+1.p',unknown),
[] ).
cnf(28,axiom,
equal(sdtasdt0(xA,xA),xF),
file('RNG062+1.p',unknown),
[] ).
cnf(33,axiom,
equal(sdtasdt0(xF,xD),xS),
file('RNG062+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ aScalar0(u)
| aScalar0(smndt0(u)) ),
file('RNG062+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ aScalar0(u)
| equal(smndt0(smndt0(u)),u) ),
file('RNG062+1.p',unknown),
[] ).
cnf(57,axiom,
equal(sdtasdt0(smndt0(xS),smndt0(xS)),sdtasdt0(xS,xS)),
file('RNG062+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| aScalar0(sdtpldt0(v,u)) ),
file('RNG062+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| aScalar0(sdtasdt0(v,u)) ),
file('RNG062+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(v,u),sdtpldt0(u,v)) ),
file('RNG062+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(v,u),sdtasdt0(u,v)) ),
file('RNG062+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(smndt0(v),u),smndt0(sdtasdt0(v,u))) ),
file('RNG062+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtasdt0(sdtasdt0(w,v),u),sdtasdt0(w,sdtasdt0(v,u))) ),
file('RNG062+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtpldt0(sdtpldt0(w,v),u),sdtpldt0(w,sdtpldt0(v,u))) ),
file('RNG062+1.p',unknown),
[] ).
cnf(82,axiom,
equal(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))),
file('RNG062+1.p',unknown),
[] ).
cnf(83,axiom,
equal(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
file('RNG062+1.p',unknown),
[] ).
cnf(85,axiom,
~ equal(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN))),
file('RNG062+1.p',unknown),
[] ).
cnf(94,plain,
equal(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
inference(rew,[status(thm),theory(equality)],[82,83]),
[iquote('0:Rew:82.0,83.0')] ).
cnf(95,plain,
equal(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
inference(rew,[status(thm),theory(equality)],[94,82]),
[iquote('0:Rew:94.0,82.0')] ).
cnf(96,plain,
~ equal(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
inference(rew,[status(thm),theory(equality)],[95,85]),
[iquote('0:Rew:95.0,85.0')] ).
cnf(203,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xF)
| equal(sdtasdt0(xD,xF),xS) ),
inference(spr,[status(thm),theory(equality)],[64,33]),
[iquote('0:SpR:64.2,33.0')] ).
cnf(235,plain,
equal(sdtasdt0(xD,xF),xS),
inference(ssi,[status(thm)],[203,12,10]),
[iquote('0:SSi:203.1,203.0,12.0,10.0')] ).
cnf(310,plain,
( ~ aScalar0(smndt0(xS))
| ~ aScalar0(xS)
| equal(smndt0(sdtasdt0(xS,smndt0(xS))),sdtasdt0(xS,xS)) ),
inference(spr,[status(thm),theory(equality)],[68,57]),
[iquote('0:SpR:68.2,57.0')] ).
cnf(322,plain,
equal(smndt0(sdtasdt0(xS,smndt0(xS))),sdtasdt0(xS,xS)),
inference(ssi,[status(thm)],[310,17,37]),
[iquote('0:SSi:310.1,310.0,17.0,37.1,17.0')] ).
cnf(338,plain,
( ~ aScalar0(sdtasdt0(xS,smndt0(xS)))
| equal(sdtasdt0(xS,smndt0(xS)),smndt0(sdtasdt0(xS,xS))) ),
inference(spr,[status(thm),theory(equality)],[322,52]),
[iquote('0:SpR:322.0,52.1')] ).
cnf(345,plain,
equal(sdtasdt0(xS,smndt0(xS)),smndt0(sdtasdt0(xS,xS))),
inference(ssi,[status(thm)],[338,59,17,37]),
[iquote('0:SSi:338.0,59.0,17.1,37.0,17.2')] ).
cnf(346,plain,
equal(smndt0(smndt0(sdtasdt0(xS,xS))),sdtasdt0(xS,xS)),
inference(rew,[status(thm),theory(equality)],[345,322]),
[iquote('0:Rew:345.0,322.0')] ).
cnf(681,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ aScalar0(sdtpldt0(w,v))
| ~ aScalar0(u)
| equal(sdtpldt0(u,sdtpldt0(w,v)),sdtpldt0(w,sdtpldt0(v,u))) ),
inference(spr,[status(thm),theory(equality)],[77,63]),
[iquote('0:SpR:77.3,63.2')] ).
cnf(688,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ aScalar0(v)
| ~ aScalar0(u)
| equal(sdtpldt0(sdtpldt0(v,u),w),sdtpldt0(u,sdtpldt0(v,w))) ),
inference(spr,[status(thm),theory(equality)],[63,77]),
[iquote('0:SpR:63.2,77.3')] ).
cnf(704,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtpldt0(sdtpldt0(v,w),u),sdtpldt0(w,sdtpldt0(v,u))) ),
inference(obv,[status(thm),theory(equality)],[688]),
[iquote('0:Obv:688.1')] ).
cnf(705,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtpldt0(v,sdtpldt0(w,u)),sdtpldt0(w,sdtpldt0(v,u))) ),
inference(rew,[status(thm),theory(equality)],[77,704]),
[iquote('0:Rew:77.3,704.3')] ).
cnf(711,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(sdtpldt0(v,u))
| ~ aScalar0(w)
| equal(sdtpldt0(w,sdtpldt0(v,u)),sdtpldt0(v,sdtpldt0(u,w))) ),
inference(obv,[status(thm),theory(equality)],[681]),
[iquote('0:Obv:681.0')] ).
cnf(712,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtpldt0(w,sdtpldt0(v,u)),sdtpldt0(v,sdtpldt0(u,w))) ),
inference(ssi,[status(thm)],[711,58]),
[iquote('0:SSi:711.2,58.2')] ).
cnf(774,plain,
( ~ aScalar0(u)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| equal(sdtasdt0(xS,u),sdtasdt0(xF,sdtasdt0(xD,u))) ),
inference(spr,[status(thm),theory(equality)],[33,76]),
[iquote('0:SpR:33.0,76.3')] ).
cnf(779,plain,
( ~ aScalar0(u)
| ~ aScalar0(xA)
| ~ aScalar0(xA)
| equal(sdtasdt0(xF,u),sdtasdt0(xA,sdtasdt0(xA,u))) ),
inference(spr,[status(thm),theory(equality)],[28,76]),
[iquote('0:SpR:28.0,76.3')] ).
cnf(789,plain,
( ~ aScalar0(u)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| equal(sdtasdt0(xS,u),sdtasdt0(xD,sdtasdt0(xF,u))) ),
inference(spr,[status(thm),theory(equality)],[235,76]),
[iquote('0:SpR:235.0,76.3')] ).
cnf(792,plain,
( ~ aScalar0(u)
| equal(sdtasdt0(xS,u),sdtasdt0(xF,sdtasdt0(xD,u))) ),
inference(ssi,[status(thm)],[774,12,10]),
[iquote('0:SSi:774.2,774.1,12.0,10.0')] ).
cnf(801,plain,
( ~ aScalar0(u)
| ~ aScalar0(xA)
| equal(sdtasdt0(xF,u),sdtasdt0(xA,sdtasdt0(xA,u))) ),
inference(obv,[status(thm),theory(equality)],[779]),
[iquote('0:Obv:779.1')] ).
cnf(802,plain,
( ~ aScalar0(u)
| equal(sdtasdt0(xF,u),sdtasdt0(xA,sdtasdt0(xA,u))) ),
inference(ssi,[status(thm)],[801,7]),
[iquote('0:SSi:801.1,7.0')] ).
cnf(803,plain,
( ~ aScalar0(u)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| equal(sdtasdt0(xF,sdtasdt0(xD,u)),sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,u)))) ),
inference(rew,[status(thm),theory(equality)],[792,789,802]),
[iquote('0:Rew:792.1,789.3,802.1,789.3')] ).
cnf(804,plain,
( ~ aScalar0(u)
| equal(sdtasdt0(xF,sdtasdt0(xD,u)),sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,u)))) ),
inference(ssi,[status(thm)],[803,10,12]),
[iquote('0:SSi:803.2,803.1,10.0,12.0')] ).
cnf(805,plain,
( ~ aScalar0(u)
| equal(sdtasdt0(xS,u),sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,u)))) ),
inference(rew,[status(thm),theory(equality)],[804,792]),
[iquote('0:Rew:804.1,792.1')] ).
cnf(1463,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| equal(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) ),
inference(spr,[status(thm),theory(equality)],[94,77]),
[iquote('0:SpR:94.0,77.3')] ).
cnf(1474,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN))
| equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) ),
inference(spr,[status(thm),theory(equality)],[63,94]),
[iquote('0:SpR:63.2,94.0')] ).
cnf(1479,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
inference(ssi,[status(thm)],[1474,37,18,59,15]),
[iquote('0:SSi:1474.1,1474.0,37.0,18.0,59.2,15.0,15.1')] ).
cnf(1480,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| equal(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) ),
inference(rew,[status(thm),theory(equality)],[63,1463]),
[iquote('0:Rew:63.2,1463.3')] ).
cnf(1481,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) ),
inference(rew,[status(thm),theory(equality)],[705,1480]),
[iquote('0:Rew:705.3,1480.3')] ).
cnf(1482,plain,
equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
inference(ssi,[status(thm)],[1481,59,15,37,18,58,17]),
[iquote('0:SSi:1481.2,1481.1,1481.0,59.0,15.1,15.0,37.0,18.2,58.2,59.0,17.1,17.0,37.0,18.2')] ).
cnf(1643,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) ),
inference(spl,[status(thm),theory(equality)],[63,96]),
[iquote('0:SpL:63.2,96.0')] ).
cnf(1652,plain,
~ equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
inference(ssi,[status(thm)],[1643,37,18,58,59,15,17]),
[iquote('0:SSi:1643.1,1643.0,37.0,18.1,58.0,58.0,59.2,15.0,15.0,59.2,17.2,17.2,37.0,18.1')] ).
cnf(3261,plain,
( ~ aScalar0(smndt0(xS))
| equal(smndt0(sdtasdt0(xS,xS)),sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))) ),
inference(spr,[status(thm),theory(equality)],[805,345]),
[iquote('0:SpR:805.1,345.0')] ).
cnf(3287,plain,
equal(smndt0(sdtasdt0(xS,xS)),sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),
inference(ssi,[status(thm)],[3261,37,17]),
[iquote('0:SSi:3261.0,37.0,17.1')] ).
cnf(3290,plain,
equal(sdtasdt0(xS,xS),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),
inference(rew,[status(thm),theory(equality)],[3287,346]),
[iquote('0:Rew:3287.0,346.0')] ).
cnf(3308,plain,
equal(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))))),
inference(rew,[status(thm),theory(equality)],[3290,94]),
[iquote('0:Rew:3290.0,94.0')] ).
cnf(3326,plain,
~ equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),smndt0(xN))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))))),
inference(rew,[status(thm),theory(equality)],[3290,1652]),
[iquote('0:Rew:3290.0,1652.0')] ).
cnf(3334,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))))),
inference(rew,[status(thm),theory(equality)],[3290,1479]),
[iquote('0:Rew:3290.0,1479.0')] ).
cnf(3335,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))))),
inference(rew,[status(thm),theory(equality)],[3290,1482]),
[iquote('0:Rew:3290.0,1482.0')] ).
cnf(3394,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))))),
inference(rew,[status(thm),theory(equality)],[3335,3334]),
[iquote('0:Rew:3335.0,3334.0')] ).
cnf(3535,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ aScalar0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)))
| equal(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))) ),
inference(spr,[status(thm),theory(equality)],[3308,63]),
[iquote('0:SpR:3308.0,63.2')] ).
cnf(3555,plain,
equal(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))),
inference(ssi,[status(thm)],[3535,58,37,59,10,7,17,18,15]),
[iquote('0:SSi:3535.1,3535.0,58.0,37.1,59.0,10.0,59.2,7.2,59.0,7.1,37.0,17.1,37.0,18.2,58.0,59.2,15.0,15.2,37.1,18.2')] ).
cnf(3557,plain,
equal(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))),
inference(rew,[status(thm),theory(equality)],[3555,3308]),
[iquote('0:Rew:3555.0,3308.0')] ).
cnf(3565,plain,
~ equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))),
inference(rew,[status(thm),theory(equality)],[3555,3326]),
[iquote('0:Rew:3555.0,3326.0')] ).
cnf(3697,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN))
| equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))) ),
inference(spr,[status(thm),theory(equality)],[63,3557]),
[iquote('0:SpR:63.2,3557.0')] ).
cnf(3703,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN))
| equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))) ),
inference(rew,[status(thm),theory(equality)],[3394,3697]),
[iquote('0:Rew:3394.0,3697.2')] ).
cnf(3704,plain,
equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))),
inference(ssi,[status(thm)],[3703,37,18,59,15]),
[iquote('0:SSi:3703.1,3703.0,37.0,18.0,59.2,15.0,15.1')] ).
cnf(3705,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))),
inference(rew,[status(thm),theory(equality)],[3704,3335]),
[iquote('0:Rew:3704.0,3335.0')] ).
cnf(3707,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))),
inference(rew,[status(thm),theory(equality)],[3704,3394]),
[iquote('0:Rew:3704.0,3394.0')] ).
cnf(63167,plain,
( ~ aScalar0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| equal(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))))),sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))) ),
inference(spr,[status(thm),theory(equality)],[3555,77]),
[iquote('0:SpR:3555.0,77.3')] ).
cnf(63168,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ aScalar0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))))
| equal(sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))) ),
inference(spr,[status(thm),theory(equality)],[3555,63]),
[iquote('0:SpR:3555.0,63.2')] ).
cnf(63227,plain,
equal(sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))),
inference(ssi,[status(thm)],[63168,58,37,18,59,10,7,17,15]),
[iquote('0:SSi:63168.1,63168.0,58.0,37.1,18.0,37.0,59.2,10.2,59.0,7.1,59.0,7.2,37.0,17.2,58.0,59.2,15.1,15.0,37.1,18.2')] ).
cnf(63229,plain,
equal(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))),
inference(rew,[status(thm),theory(equality)],[63227,3557]),
[iquote('0:Rew:63227.0,3557.0')] ).
cnf(63252,plain,
~ equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))),
inference(rew,[status(thm),theory(equality)],[63227,3565]),
[iquote('0:Rew:63227.0,3565.0')] ).
cnf(63414,plain,
( ~ aScalar0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| equal(sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtasdt0(xR,xR)))) ),
inference(rew,[status(thm),theory(equality)],[712,63167,63]),
[iquote('0:Rew:712.3,63167.3,712.3,63167.3,63.2,63167.3')] ).
cnf(63415,plain,
equal(sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtasdt0(xR,xR)))),
inference(ssi,[status(thm)],[63414,59,15,37,18,58,10,7,17]),
[iquote('0:SSi:63414.2,63414.1,63414.0,59.0,15.1,15.0,37.2,18.0,58.2,37.0,18.2,37.1,59.0,10.1,59.2,7.0,59.1,7.0,37.0,17.2')] ).
cnf(63418,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))),sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtasdt0(xR,xR)))),
inference(rew,[status(thm),theory(equality)],[63415,3705]),
[iquote('0:Rew:63415.0,3705.0')] ).
cnf(63419,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))),sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtasdt0(xR,xR)))),
inference(rew,[status(thm),theory(equality)],[63415,3707]),
[iquote('0:Rew:63415.0,3707.0')] ).
cnf(63988,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN))
| equal(sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN))),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))) ),
inference(spr,[status(thm),theory(equality)],[63,63229]),
[iquote('0:SpR:63.2,63229.0')] ).
cnf(64003,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN))
| equal(sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtasdt0(xR,xR)))) ),
inference(rew,[status(thm),theory(equality)],[63419,63988]),
[iquote('0:Rew:63419.0,63988.2')] ).
cnf(64004,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtasdt0(xR,xR)))),
inference(ssi,[status(thm)],[64003,37,18,59,15]),
[iquote('0:SSi:64003.1,64003.0,37.0,18.0,59.2,15.0,15.1')] ).
cnf(64694,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))
| ~ aScalar0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))
| equal(sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)),smndt0(xN))),sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtasdt0(xR,xR)))) ),
inference(spr,[status(thm),theory(equality)],[63418,712]),
[iquote('0:SpR:63418.0,712.3')] ).
cnf(64729,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xR,xR)))
| ~ aScalar0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))
| equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtasdt0(xR,xR))),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))))) ),
inference(rew,[status(thm),theory(equality)],[712,64694]),
[iquote('0:Rew:712.3,64694.3')] ).
cnf(64730,plain,
equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtasdt0(xR,xR))),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))))),
inference(ssi,[status(thm)],[64729,37,59,10,7,17,58,18,15]),
[iquote('0:SSi:64729.2,64729.1,64729.0,37.0,59.1,10.0,59.0,7.2,59.0,7.1,37.2,17.0,58.1,37.0,18.2,59.0,15.2,15.0,37.2,18.1')] ).
cnf(64738,plain,
equal(sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),sdtpldt0(smndt0(xN),sdtasdt0(xR,xR))))),
inference(rew,[status(thm),theory(equality)],[64730,64004]),
[iquote('0:Rew:64730.0,64004.0')] ).
cnf(67054,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ equal(sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),smndt0(xN)))),sdtpldt0(sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS)))))),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))) ),
inference(spl,[status(thm),theory(equality)],[77,63252]),
[iquote('0:SpL:77.3,63252.0')] ).
cnf(67069,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ equal(sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),sdtasdt0(xR,xR)))),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))),sdtasdt0(xR,xR))))) ),
inference(rew,[status(thm),theory(equality)],[705,67054,712,64738,63]),
[iquote('0:Rew:705.3,67054.3,712.3,67054.3,712.3,67054.3,705.3,67054.3,64738.0,67054.3,63.2,67054.3')] ).
cnf(67070,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(sdtasdt0(xD,sdtasdt0(xA,sdtasdt0(xA,smndt0(xS))))))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(obv,[status(thm),theory(equality)],[67069]),
[iquote('0:Obv:67069.3')] ).
cnf(67071,plain,
$false,
inference(ssi,[status(thm)],[67070,59,15,37,10,7,17,18]),
[iquote('0:SSi:67070.2,67070.1,67070.0,59.0,15.1,15.0,37.1,59.0,10.2,59.0,7.2,59.0,7.2,37.1,17.0,37.0,18.2')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG062+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 05:48:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 247.77/247.98
% 247.77/247.98 SPASS V 3.9
% 247.77/247.98 SPASS beiseite: Proof found.
% 247.77/247.98 % SZS status Theorem
% 247.77/247.98 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 247.77/247.98 SPASS derived 32331 clauses, backtracked 0 clauses, performed 0 splits and kept 13044 clauses.
% 247.77/247.98 SPASS allocated 190925 KBytes.
% 247.77/247.98 SPASS spent 0:04:07.56 on the problem.
% 247.77/247.98 0:00:00.03 for the input.
% 247.77/247.98 0:00:00.04 for the FLOTTER CNF translation.
% 247.77/247.98 0:00:00.62 for inferences.
% 247.77/247.98 0:00:00.00 for the backtracking.
% 247.77/247.98 0:04:06.52 for the reduction.
% 247.77/247.98
% 247.77/247.98
% 247.77/247.98 Here is a proof with depth 3, length 91 :
% 247.77/247.98 % SZS output start Refutation
% See solution above
% 281.71/281.95 Formulae used in the proof : m__1746 m__1800 m__1837 m__1892 m__1930 m__1949 mNegSc mScZero m__2144 mSumSc mMulSc mArith mMNeg m__2221 m__2180 m__
% 281.71/281.95
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