%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM756^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n133.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 13:11:39 EST 2018 % Result : Theorem 1.52s % Output : Proof 1.52s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM756^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.03/0.24 % Computer : n133.star.cs.uiowa.edu % 0.03/0.24 % Model : x86_64 x86_64 % 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.03/0.24 % Memory : 32218.625MB % 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.03/0.24 % CPULimit : 300 % 0.03/0.24 % DateTime : Fri Jan 5 13:51:49 CST 2018 % 0.03/0.24 % CPUTime : % 0.07/0.28 Python 2.7.13 % 0.44/0.90 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4e18>, <kernel.Type object at 0x2b8e154e4830>) of role type named frac_type % 0.44/0.90 Using role type % 0.44/0.90 Declaring frac:Type % 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e1559ad40>, <kernel.Constant object at 0x2b8e154e4878>) of role type named x % 0.44/0.90 Using role type % 0.44/0.90 Declaring x:frac % 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4bd8>, <kernel.Constant object at 0x2b8e154e4878>) of role type named y % 0.44/0.90 Using role type % 0.44/0.90 Declaring y:frac % 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4e18>, <kernel.Constant object at 0x2b8e154e4f38>) of role type named z % 0.44/0.90 Using role type % 0.44/0.90 Declaring z:frac % 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4bd8>, <kernel.DependentProduct object at 0x2b8e151fdcf8>) of role type named eq % 0.44/0.90 Using role type % 0.44/0.90 Declaring _TPTP_eq:(frac->(frac->Prop)) % 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4f38>, <kernel.DependentProduct object at 0x2b8e151fd290>) of role type named pf % 0.44/0.90 Using role type % 0.44/0.90 Declaring pf:(frac->(frac->frac)) % 0.44/0.90 FOF formula ((_TPTP_eq ((pf x) z)) ((pf y) z)) of role axiom named e % 0.44/0.90 A new axiom: ((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.44/0.90 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et % 0.44/0.90 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa)) % 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4878>, <kernel.DependentProduct object at 0x2b8e151fde60>) of role type named lessf % 0.44/0.90 Using role type % 0.44/0.90 Declaring lessf:(frac->(frac->Prop)) % 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4878>, <kernel.DependentProduct object at 0x2b8e151fd998>) of role type named moref % 0.44/0.90 Using role type % 0.44/0.90 Declaring moref:(frac->(frac->Prop)) % 0.44/0.90 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 % 0.44/0.90 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)) % 0.44/0.90 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac), (((lessf Xx) Xy)->((lessf ((pf Xx) Xz)) ((pf Xy) Xz)))) of role axiom named satz62c % 0.44/0.90 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac), (((lessf Xx) Xy)->((lessf ((pf Xx) Xz)) ((pf Xy) Xz)))) % 0.44/0.90 FOF formula (forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))) of role axiom named satz41a % 0.44/0.90 A new axiom: (forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))) % 0.44/0.90 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac), (((moref Xx) Xy)->((moref ((pf Xx) Xz)) ((pf Xy) Xz)))) of role axiom named satz62a % 0.44/0.90 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac), (((moref Xx) Xy)->((moref ((pf Xx) Xz)) ((pf Xy) Xz)))) % 0.44/0.90 FOF formula ((_TPTP_eq x) y) of role conjecture named satz63b % 0.44/0.90 Conjecture to prove = ((_TPTP_eq x) y):Prop % 0.44/0.90 We need to prove ['((_TPTP_eq x) y)'] % 0.44/0.90 Parameter frac:Type. % 0.44/0.90 Parameter x:frac. % 0.44/0.90 Parameter y:frac. % 0.44/0.90 Parameter z:frac. % 0.44/0.90 Parameter _TPTP_eq:(frac->(frac->Prop)). % 0.44/0.90 Parameter pf:(frac->(frac->frac)). % 0.44/0.90 Axiom e:((_TPTP_eq ((pf x) z)) ((pf y) z)). % 0.44/0.90 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)). % 0.44/0.90 Parameter lessf:(frac->(frac->Prop)). % 0.44/0.90 Parameter moref:(frac->(frac->Prop)). % 0.44/0.90 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)). % 0.44/0.90 Axiom satz62c:(forall (Xx:frac) (Xy:frac) (Xz:frac), (((lessf Xx) Xy)->((lessf ((pf Xx) Xz)) ((pf Xy) Xz)))). % 0.44/0.90 Axiom satz41a:(forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))). % 0.44/0.90 Axiom satz62a:(forall (Xx:frac) (Xy:frac) (Xz:frac), (((moref Xx) Xy)->((moref ((pf Xx) Xz)) ((pf Xy) Xz)))). % 0.44/0.90 Trying to prove ((_TPTP_eq x) y) % 0.44/0.90 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.44/0.90 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found x0:(((_TPTP_eq x) y)->False) % 1.52/1.94 Instantiate: Xx:=x:frac;Xy:=y:frac % 1.52/1.94 Found x0 as proof of (((_TPTP_eq Xx) Xy)->False) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False) % 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False) % 1.52/1.94 Found x10:=(x1 e):(((moref Xx) Xy)->False) % 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False) % 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False) % 1.52/1.94 Found x5:((_TPTP_eq Xx) Xy) % 1.52/1.94 Found x5 as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found x5:((moref Xx) Xy) % 1.52/1.94 Found x5 as proof of ((moref Xx) Xy) % 1.52/1.94 Found x0:(((_TPTP_eq x) y)->False) % 1.52/1.94 Instantiate: Xx:=x:frac;Xy:=y:frac % 1.52/1.94 Found x0 as proof of (((_TPTP_eq Xx) Xy)->False) % 1.52/1.94 Found x0:(((_TPTP_eq x) y)->False) % 1.52/1.94 Found x0 as proof of (((_TPTP_eq x) y)->False) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False) % 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z)) % 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac % 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy) % 1.52/1.94 Found satz62a0000:=(satz62a000 z):((moref ((pf x) z)) ((pf y) z)) % 1.52/1.94 Found (satz62a000 z) as proof of ((moref Xx) Xy) % 1.52/1.94 Found ((fun (Xz:frac)=> ((satz62a00 Xz) x00)) z) as proof of ((moref Xx) Xy) % 1.52/1.94 Found ((fun (Xz:frac)=> (((satz62a0 y) Xz) x00)) z) as proof of ((moref Xx) Xy) % 1.52/1.94 Found ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z) as proof of ((moref Xx) Xy) % 1.52/1.94 Found ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z) as proof of ((moref Xx) Xy) % 1.52/1.94 Found ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)) as proof of False % 1.52/1.94 Found (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))) as proof of False % 1.52/1.94 Found (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))) as proof of (((moref x) y)->False) % 1.52/1.94 Found ((satz41a00 x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))) as proof of ((lessf x) y) % 1.52/1.94 Found (((satz41a0 y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))) as proof of ((lessf x) y) % 1.52/1.94 Found ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))) as proof of ((lessf x) y) % 1.52/1.94 Found ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))) as proof of ((lessf x) y) % 1.52/1.94 Found (satz62c000 ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy) % 1.52/1.94 Found ((satz62c00 z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy) % 1.52/1.94 Found (((satz62c0 y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy) % 1.52/1.94 Found ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy) % 1.52/1.94 Found ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy) % 1.52/1.95 Found ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e) as proof of False % 1.52/1.95 Found (fun (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)) as proof of False % 1.52/1.95 Found (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)) as proof of ((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False) % 1.52/1.95 Found (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)) as proof of ((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False)) % 1.52/1.95 Found (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))) as proof of False % 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))) as proof of False % 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))) as proof of ((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False) % 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))) 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)) % 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))) as proof of False % 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))) as proof of False % 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))) as proof of False % 1.52/1.95 Found (fun (x0:(((_TPTP_eq 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))))) as proof of False % 1.52/1.95 Found (fun (x0:(((_TPTP_eq 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))))) as proof of ((((_TPTP_eq x) y)->False)->False) % 1.52/1.95 Found (et0 (fun (x0:(((_TPTP_eq 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))))) as proof of ((_TPTP_eq x) y) % 1.52/1.95 Found ((et ((_TPTP_eq x) y)) (fun (x0:(((_TPTP_eq 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))))) as proof of ((_TPTP_eq x) y) % 1.52/1.95 Found ((et ((_TPTP_eq x) y)) (fun (x0:(((_TPTP_eq 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))))) as proof of ((_TPTP_eq x) y) % 1.52/1.97 Got proof ((et ((_TPTP_eq x) y)) (fun (x0:(((_TPTP_eq 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))))) % 1.52/1.97 Time elapsed = 1.172756s % 1.52/1.97 node=324 cost=1331.000000 depth=32 % 1.52/1.97:::::::::::::::::::::: % 1.52/1.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.52/1.97 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.52/1.97 ((et ((_TPTP_eq x) y)) (fun (x0:(((_TPTP_eq 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))))) % 1.52/1.97 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------