%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM755^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n030.star.cs.uiowa.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz % Memory : 32218.625MB % OS : Linux 3.10.0-693.2.2.el7.x86_64 % CPULimit : 300s % DateTime : Mon Jan 8 13:11:38 EST 2018 % Result : Theorem 1.51s % Output : Proof 1.51s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : NUM755^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.02/0.24 % Computer : n030.star.cs.uiowa.edu % 0.02/0.24 % Model : x86_64 x86_64 % 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.02/0.24 % Memory : 32218.625MB % 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.02/0.24 % CPULimit : 300 % 0.02/0.24 % DateTime : Fri Jan 5 13:48:33 CST 2018 % 0.02/0.24 % CPUTime : % 0.02/0.25 Python 2.7.13 % 0.43/0.68 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2b97a7d652d8>, <kernel.Type object at 0x2b97a7e45b48>) of role type named frac_type % 0.43/0.68 Using role type % 0.43/0.68 Declaring frac:Type % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2b97a7e9fdd0>, <kernel.Constant object at 0x2b97a7e45e18>) of role type named x % 0.43/0.68 Using role type % 0.43/0.68 Declaring x:frac % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2b97a7d652d8>, <kernel.Constant object at 0x2b97a7e45e18>) of role type named y % 0.43/0.68 Using role type % 0.43/0.68 Declaring y:frac % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2b97a7d652d8>, <kernel.Constant object at 0x2b97a7e45e18>) of role type named z % 0.43/0.68 Using role type % 0.43/0.68 Declaring z:frac % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2b97a7e45f38>, <kernel.DependentProduct object at 0x2b97a812dcf8>) of role type named moref % 0.43/0.68 Using role type % 0.43/0.68 Declaring moref:(frac->(frac->Prop)) % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2b97a7e452d8>, <kernel.DependentProduct object at 0x2b97a7e454d0>) of role type named pf % 0.43/0.68 Using role type % 0.43/0.68 Declaring pf:(frac->(frac->frac)) % 0.43/0.68 FOF formula ((moref ((pf x) z)) ((pf y) z)) of role axiom named m % 0.43/0.68 A new axiom: ((moref ((pf x) z)) ((pf y) z)) % 0.43/0.68 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et % 0.43/0.68 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa)) % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2b97a7e45f38>, <kernel.DependentProduct object at 0x2b97a812dab8>) of role type named eq % 0.43/0.68 Using role type % 0.43/0.68 Declaring _TPTP_eq:(frac->(frac->Prop)) % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2b97a7e45488>, <kernel.DependentProduct object at 0x2b97a812dcf8>) of role type named lessf % 0.43/0.68 Using role type % 0.43/0.68 Declaring lessf:(frac->(frac->Prop)) % 0.43/0.68 FOF formula (forall (Xx:frac) (Xy:frac), (((((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))->((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False))->False)) of role axiom named satz41b % 0.43/0.68 A new axiom: (forall (Xx:frac) (Xy:frac), (((((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))->((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False))->False)) % 0.43/0.68 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac), (((_TPTP_eq Xx) Xy)->((_TPTP_eq ((pf Xx) Xz)) ((pf Xy) Xz)))) of role axiom named satz62b % 0.43/0.68 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac), (((_TPTP_eq Xx) Xy)->((_TPTP_eq ((pf Xx) Xz)) ((pf Xy) Xz)))) % 0.43/0.68 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac), (((lessf Xx) Xy)->((lessf ((pf Xx) Xz)) ((pf Xy) Xz)))) of role axiom named satz62c % 0.43/0.68 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac), (((lessf Xx) Xy)->((lessf ((pf Xx) Xz)) ((pf Xy) Xz)))) % 0.43/0.68 FOF formula (forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))) of role axiom named satz41a % 0.43/0.68 A new axiom: (forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))) % 0.43/0.68 FOF formula ((moref x) y) of role conjecture named satz63a % 0.43/0.68 Conjecture to prove = ((moref x) y):Prop % 0.43/0.68 We need to prove ['((moref x) y)'] % 0.43/0.68 Parameter frac:Type. % 0.43/0.68 Parameter x:frac. % 0.43/0.68 Parameter y:frac. % 0.43/0.68 Parameter z:frac. % 0.43/0.68 Parameter moref:(frac->(frac->Prop)). % 0.43/0.68 Parameter pf:(frac->(frac->frac)). % 0.43/0.68 Axiom m:((moref ((pf x) z)) ((pf y) z)). % 0.43/0.68 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)). % 0.43/0.68 Parameter _TPTP_eq:(frac->(frac->Prop)). % 0.43/0.68 Parameter lessf:(frac->(frac->Prop)). % 0.43/0.68 Axiom satz41b:(forall (Xx:frac) (Xy:frac), (((((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))->((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False))->False)). % 0.43/0.68 Axiom satz62b:(forall (Xx:frac) (Xy:frac) (Xz:frac), (((_TPTP_eq Xx) Xy)->((_TPTP_eq ((pf Xx) Xz)) ((pf Xy) Xz)))). % 0.43/0.68 Axiom satz62c:(forall (Xx:frac) (Xy:frac) (Xz:frac), (((lessf Xx) Xy)->((lessf ((pf Xx) Xz)) ((pf Xy) Xz)))). % 0.43/0.68 Axiom satz41a:(forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))). % 0.43/0.68 Trying to prove ((moref x) y) % 0.43/0.68 Found m:((moref ((pf x) z)) ((pf y) z)) % 0.43/0.68 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.51/1.76 Found m as proof of ((moref Xx) Xy) % 1.51/1.76 Found m:((moref ((pf x) z)) ((pf y) z)) % 1.51/1.76 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.51/1.76 Found m as proof of ((moref Xx) Xy) % 1.51/1.76 Found m:((moref ((pf x) z)) ((pf y) z)) % 1.51/1.76 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.51/1.76 Found m as proof of ((moref Xx) Xy) % 1.51/1.76 Found x0:(((moref x) y)->False) % 1.51/1.76 Instantiate: Xx:=x:frac;Xy:=y:frac % 1.51/1.76 Found x0 as proof of (((moref Xx) Xy)->False) % 1.51/1.76 Found m:((moref ((pf x) z)) ((pf y) z)) % 1.51/1.76 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.51/1.76 Found m as proof of ((moref Xx) Xy) % 1.51/1.76 Found (x10 m) as proof of False % 1.51/1.76 Found ((x1 x5) m) as proof of False % 1.51/1.76 Found (fun (x5:((_TPTP_eq Xx) Xy))=> ((x1 x5) m)) as proof of False % 1.51/1.76 Found (fun (x5:((_TPTP_eq Xx) Xy))=> ((x1 x5) m)) as proof of (((_TPTP_eq Xx) Xy)->False) % 1.51/1.76 Found x10:=(fun (x5:((_TPTP_eq Xx) Xy))=> ((x1 x5) m)):(((_TPTP_eq Xx) Xy)->False) % 1.51/1.76 Found (fun (x5:((_TPTP_eq Xx) Xy))=> ((x1 x5) m)) as proof of (((_TPTP_eq Xx) Xy)->False) % 1.51/1.76 Found (fun (x5:((_TPTP_eq Xx) Xy))=> ((x1 x5) m)) as proof of (((_TPTP_eq Xx) Xy)->False) % 1.51/1.76 Found x5:((moref Xx) Xy) % 1.51/1.76 Found x5 as proof of ((moref Xx) Xy) % 1.51/1.76 Found x5:((_TPTP_eq Xx) Xy) % 1.51/1.76 Found x5 as proof of ((_TPTP_eq Xx) Xy) % 1.51/1.76 Found x0:(((moref x) y)->False) % 1.51/1.76 Found x0 as proof of (((moref x) y)->False) % 1.51/1.76 Found x0:(((moref x) y)->False) % 1.51/1.76 Instantiate: Xx:=x:frac;Xy:=y:frac % 1.51/1.76 Found x0 as proof of (((moref Xx) Xy)->False) % 1.51/1.76 Found m:((moref ((pf x) z)) ((pf y) z)) % 1.51/1.76 Found m as proof of ((moref Xx) Xy) % 1.51/1.76 Found m:((moref ((pf x) z)) ((pf y) z)) % 1.51/1.76 Found m as proof of ((moref Xx) Xy) % 1.51/1.76 Found m:((moref ((pf x) z)) ((pf y) z)) % 1.51/1.76 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.51/1.76 Found m as proof of ((moref Xx) Xy) % 1.51/1.76 Found satz62b0000:=(satz62b000 z):((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.51/1.76 Found (satz62b000 z) as proof of ((_TPTP_eq Xx) Xy) % 1.51/1.76 Found ((fun (Xz:frac)=> ((satz62b00 Xz) x00)) z) as proof of ((_TPTP_eq Xx) Xy) % 1.51/1.76 Found ((fun (Xz:frac)=> (((satz62b0 y) Xz) x00)) z) as proof of ((_TPTP_eq Xx) Xy) % 1.51/1.76 Found ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z) as proof of ((_TPTP_eq Xx) Xy) % 1.51/1.76 Found ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z) as proof of ((_TPTP_eq Xx) Xy) % 1.51/1.76 Found ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m) as proof of False % 1.51/1.76 Found (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m)) as proof of False % 1.51/1.76 Found (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m)) as proof of (((_TPTP_eq x) y)->False) % 1.51/1.76 Found ((satz41a00 (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0) as proof of ((lessf x) y) % 1.51/1.76 Found (((satz41a0 y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0) as proof of ((lessf x) y) % 1.51/1.76 Found ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0) as proof of ((lessf x) y) % 1.51/1.76 Found ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0) as proof of ((lessf x) y) % 1.51/1.76 Found (satz62c000 ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)) as proof of ((lessf Xx) Xy) % 1.51/1.76 Found ((satz62c00 z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)) as proof of ((lessf Xx) Xy) % 1.51/1.76 Found (((satz62c0 y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)) as proof of ((lessf Xx) Xy) % 1.51/1.76 Found ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)) as proof of ((lessf Xx) Xy) % 1.51/1.76 Found ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)) as proof of ((lessf Xx) Xy) % 1.51/1.76 Found ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))) as proof of False % 1.51/1.76 Found (fun (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)))) as proof of False % 1.51/1.76 Found (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)))) as proof of ((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False) % 1.51/1.76 Found (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)))) as proof of ((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False)) % 1.51/1.76 Found (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))))) as proof of False % 1.51/1.76 Found (fun (x2:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)))))) as proof of False % 1.51/1.76 Found (fun (x1:(((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))) (x2:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)))))) as proof of ((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False) % 1.51/1.76 Found (fun (x1:(((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))) (x2:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)))))) as proof of ((((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))->((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False)) % 1.51/1.76 Found (satz41b00 (fun (x1:(((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))) (x2:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))))))) as proof of False % 1.51/1.76 Found ((satz41b0 ((pf y) z)) (fun (x1:(((_TPTP_eq Xx) ((pf y) z))->(((moref Xx) ((pf y) z))->False))) (x2:(((((moref Xx) ((pf y) z))->(((lessf Xx) ((pf y) z))->False))->((((lessf Xx) ((pf y) z))->(((_TPTP_eq Xx) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) ((pf y) z))->(((lessf Xx) ((pf y) z))->False))) (x4:(((lessf Xx) ((pf y) z))->(((_TPTP_eq Xx) ((pf y) z))->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))))))) as proof of False % 1.51/1.76 Found (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))))))) as proof of False % 1.51/1.77 Found (fun (x0:(((moref x) y)->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)))))))) as proof of False % 1.51/1.77 Found (fun (x0:(((moref x) y)->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0)))))))) as proof of ((((moref x) y)->False)->False) % 1.51/1.77 Found (et0 (fun (x0:(((moref x) y)->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))))))))) as proof of ((moref x) y) % 1.51/1.77 Found ((et ((moref x) y)) (fun (x0:(((moref x) y)->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))))))))) as proof of ((moref x) y) % 1.51/1.77 Found ((et ((moref x) y)) (fun (x0:(((moref x) y)->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))))))))) as proof of ((moref x) y) % 1.51/1.77 Got proof ((et ((moref x) y)) (fun (x0:(((moref x) y)->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))))))))) % 1.51/1.78 Time elapsed = 1.215120s % 1.51/1.78 node=324 cost=1327.000000 depth=32 % 1.51/1.78:::::::::::::::::::::: % 1.51/1.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.51/1.78 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.51/1.78 ((et ((moref x) y)) (fun (x0:(((moref x) y)->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 m) ((((satz62c x) y) z) ((((satz41a x) y) (fun (x00:((_TPTP_eq x) y))=> ((x1 ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x00)) z)) m))) x0))))))))) % 1.51/1.78 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------