%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM670^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n088.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 13:11:23 EST 2018 % Result : Theorem 245.20s % Output : Proof 245.20s % 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 : NUM670^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n088.star.cs.uiowa.edu % 0.02/0.23 % Model : x86_64 x86_64 % 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.02/0.23 % Memory : 32218.625MB % 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.02/0.23 % CPULimit : 300 % 0.02/0.23 % DateTime : Fri Jan 5 12:14:04 CST 2018 % 0.02/0.23 % CPUTime : % 0.02/0.24 Python 2.7.13 % 212.03/212.27 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 212.03/212.27 FOF formula (<kernel.Constant object at 0x2ad0e2a33d40>, <kernel.Type object at 0x2ad0e2a33b90>) of role type named nat_type % 212.03/212.27 Using role type % 212.03/212.27 Declaring nat:Type % 212.03/212.27 FOF formula (<kernel.Constant object at 0x2ad0e1fb71b8>, <kernel.Constant object at 0x2ad0e2a33170>) of role type named x % 212.03/212.27 Using role type % 212.03/212.27 Declaring x:nat % 212.03/212.27 FOF formula (<kernel.Constant object at 0x2ad0e2a33248>, <kernel.Constant object at 0x2ad0e2a33170>) of role type named y % 212.03/212.27 Using role type % 212.03/212.27 Declaring y:nat % 212.03/212.27 FOF formula (<kernel.Constant object at 0x2ad0e2a33d40>, <kernel.Constant object at 0x2ad0e2a33170>) of role type named z % 212.03/212.27 Using role type % 212.03/212.27 Declaring z:nat % 212.03/212.27 FOF formula (<kernel.Constant object at 0x2ad0e2a333b0>, <kernel.DependentProduct object at 0x2ad0e2a32fc8>) of role type named pl % 212.03/212.27 Using role type % 212.03/212.27 Declaring pl:(nat->(nat->nat)) % 212.03/212.27 FOF formula ((forall (Xx_0:nat), (not (((eq nat) x) ((pl y) Xx_0))))->False) of role axiom named m % 212.03/212.27 A new axiom: ((forall (Xx_0:nat), (not (((eq nat) x) ((pl y) Xx_0))))->False) % 212.03/212.27 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et % 212.03/212.27 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa)) % 212.03/212.27 FOF formula (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))) of role axiom named satz6 % 212.03/212.27 A new axiom: (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))) % 212.03/212.27 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), (((eq nat) ((pl ((pl Xx) Xy)) Xz)) ((pl Xx) ((pl Xy) Xz)))) of role axiom named satz5 % 212.03/212.27 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), (((eq nat) ((pl ((pl Xx) Xy)) Xz)) ((pl Xx) ((pl Xy) Xz)))) % 212.03/212.27 FOF formula ((forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))->False) of role conjecture named satz19a % 212.03/212.27 Conjecture to prove = ((forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))->False):Prop % 212.03/212.27 We need to prove ['((forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))->False)'] % 212.03/212.27 Parameter nat:Type. % 212.03/212.27 Parameter x:nat. % 212.03/212.27 Parameter y:nat. % 212.03/212.27 Parameter z:nat. % 212.03/212.27 Parameter pl:(nat->(nat->nat)). % 212.03/212.27 Axiom m:((forall (Xx_0:nat), (not (((eq nat) x) ((pl y) Xx_0))))->False). % 212.03/212.27 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)). % 212.03/212.27 Axiom satz6:(forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))). % 212.03/212.27 Axiom satz5:(forall (Xx:nat) (Xy:nat) (Xz:nat), (((eq nat) ((pl ((pl Xx) Xy)) Xz)) ((pl Xx) ((pl Xy) Xz)))). % 212.03/212.27 Trying to prove ((forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))->False) % 212.03/212.27 Found m0:False % 212.03/212.27 Found (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))=> m0) as proof of False % 212.03/212.27 Found (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))=> m0) as proof of ((forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))->False) % 212.03/212.27 Found m0:False % 212.03/212.27 Found (fun (x0:(((forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))->False)->False))=> m0) as proof of False % 212.03/212.27 Found (fun (x0:(((forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))->False)->False))=> m0) as proof of ((((forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))->False)->False)->False) % 212.03/212.27 Found m0:False % 212.03/212.27 Found (fun (x1:(False->False))=> m0) as proof of False % 212.03/212.27 Found (fun (x1:(False->False))=> m0) as proof of ((False->False)->False) % 212.03/212.27 Found m0:False % 212.03/212.27 Found (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))=> m0) as proof of False % 212.03/212.27 Found (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))=> m0) as proof of (not (forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))) % 212.03/212.27 Found m0:False % 212.03/212.27 Found (fun (x01:((((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))->False))=> m0) as proof of False % 212.03/212.27 Found (fun (x01:((((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))->False))=> m0) as proof of (((((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))->False)->False) % 212.03/212.27 Found m0:False % 212.03/212.27 Found (fun (x0:((not (forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))->False))=> m0) as proof of False % 242.71/242.94 Found (fun (x0:((not (forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))->False))=> m0) as proof of (((not (forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))->False)->False) % 242.71/242.94 Found m0:False % 242.71/242.94 Found (fun (x1:(False->False))=> m0) as proof of False % 242.71/242.94 Found (fun (x1:(False->False))=> m0) as proof of ((False->False)->False) % 242.71/242.94 Found m0:False % 242.71/242.94 Found (fun (x01:(((P ((pl x) z))->(P ((pl ((pl y) z)) Xx_0)))->False))=> m0) as proof of False % 242.71/242.94 Found (fun (x01:(((P ((pl x) z))->(P ((pl ((pl y) z)) Xx_0)))->False))=> m0) as proof of ((((P ((pl x) z))->(P ((pl ((pl y) z)) Xx_0)))->False)->False) % 242.71/242.94 Found x000:=(x00 (fun (x1:nat)=> (P ((pl x1) z)))):((P ((pl x) z))->(P ((pl ((pl Xx_0) y)) z))) % 242.71/242.94 Found (x00 (fun (x1:nat)=> (P ((pl x1) z)))) as proof of ((P ((pl x) z))->(P ((pl ((pl Xx_00) y)) z))) % 242.71/242.94 Found (x00 (fun (x1:nat)=> (P ((pl x1) z)))) as proof of ((P ((pl x) z))->(P ((pl ((pl Xx_00) y)) z))) % 242.71/242.94 Found (x00 (fun (x1:nat)=> (P ((pl x1) z)))) as proof of ((P ((pl x) z))->(P ((pl ((pl Xx_00) y)) z))) % 242.71/242.94 Found (satz50000 (x00 (fun (x1:nat)=> (P ((pl x1) z))))) as proof of ((P ((pl x) z))->(P ((pl Xx_00) ((pl y) z)))) % 242.71/242.94 Found ((satz5000 (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))) as proof of ((P ((pl x) z))->(P ((pl Xx_00) ((pl y) z)))) % 242.71/242.94 Found (((satz500 z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))) as proof of ((P ((pl x) z))->(P ((pl Xx_00) ((pl y) z)))) % 242.71/242.94 Found ((((satz50 y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))) as proof of ((P ((pl x) z))->(P ((pl Xx_00) ((pl y) z)))) % 242.71/242.94 Found (((((satz5 Xx_00) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))) as proof of ((P ((pl x) z))->(P ((pl Xx_00) ((pl y) z)))) % 242.71/242.94 Found (((((satz5 Xx_00) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))) as proof of ((P ((pl x) z))->(P ((pl Xx_00) ((pl y) z)))) % 242.71/242.94 Found (satz6000 (((((satz5 Xx_00) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))) as proof of ((P ((pl x) z))->(P ((pl ((pl y) z)) Xx_00))) % 242.71/242.94 Found ((satz600 (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_00) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))) as proof of ((P ((pl x) z))->(P ((pl ((pl y) z)) Xx_00))) % 242.71/242.94 Found (((satz60 ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_00) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))) as proof of ((P ((pl x) z))->(P ((pl ((pl y) z)) Xx_00))) % 242.71/242.94 Found ((((satz6 Xx_00) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_00) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))) as proof of ((P ((pl x) z))->(P ((pl ((pl y) z)) Xx_00))) % 242.71/242.94 Found (fun (P:(nat->Prop))=> ((((satz6 Xx_00) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_00) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))) as proof of ((P ((pl x) z))->(P ((pl ((pl y) z)) Xx_00))) % 242.71/242.94 Found (fun (P:(nat->Prop))=> ((((satz6 Xx_00) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_00) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))) as proof of (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_00)) % 242.71/242.94 Found (x01 (fun (P:(nat->Prop))=> ((((satz6 Xx_00) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_00) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))))) as proof of False % 242.71/242.94 Found ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))))) as proof of False % 242.71/242.94 Found (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))))) as proof of False % 243.31/243.59 Found (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))))) as proof of (not (((eq nat) x) ((pl Xx_0) y))) % 243.31/243.59 Found (satz6__eq_sym000 (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))))))) as proof of (not (((eq nat) x) ((pl y) Xx_0))) % 243.31/243.59 Found ((satz6__eq_sym00 (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))))))) as proof of (not (((eq nat) x) ((pl y) Xx_0))) % 243.31/243.59 Found (((satz6__eq_sym0 Xx_0) (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))))))) as proof of (not (((eq nat) x) ((pl y) Xx_0))) % 243.31/243.59 Found ((((satz6__eq_sym y) Xx_0) (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))))))) as proof of (not (((eq nat) x) ((pl y) Xx_0))) % 243.31/243.59 Found (fun (Xx_0:nat)=> ((((satz6__eq_sym y) Xx_0) (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))))))) as proof of (not (((eq nat) x) ((pl y) Xx_0))) % 243.31/243.59 Found (fun (Xx_0:nat)=> ((((satz6__eq_sym y) Xx_0) (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))))))) as proof of (forall (Xx_0:nat), (not (((eq nat) x) ((pl y) Xx_0)))) % 243.31/243.59 Found (m (fun (Xx_0:nat)=> ((((satz6__eq_sym y) Xx_0) (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z)))))))))))) as proof of False % 243.31/243.59 Found (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))=> (m (fun (Xx_0:nat)=> ((((satz6__eq_sym y) Xx_0) (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))))))))) as proof of False % 243.31/243.59 Found (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))=> (m (fun (Xx_0:nat)=> ((((satz6__eq_sym y) Xx_0) (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))))))))) as proof of ((forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0))))->False) % 243.31/243.59 Got proof (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))=> (m (fun (Xx_0:nat)=> (((((fun (Xx:nat) (Xy:nat)=> ((((eq_sym nat) ((pl Xx) Xy)) ((pl Xy) Xx)) ((satz6 Xx) Xy))) y) Xx_0) (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))))))))) % 245.20/245.47 Time elapsed = 243.062162s % 245.20/245.47 node=40535 cost=694.000000 depth=27 % 245.20/245.47:::::::::::::::::::::: % 245.20/245.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 245.20/245.47 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 245.20/245.47 (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) z)) ((pl ((pl y) z)) Xx_0)))))=> (m (fun (Xx_0:nat)=> (((((fun (Xx:nat) (Xy:nat)=> ((((eq_sym nat) ((pl Xx) Xy)) ((pl Xy) Xx)) ((satz6 Xx) Xy))) y) Xx_0) (fun (x2:nat)=> (not (((eq nat) x) x2)))) (fun (x00:(((eq nat) x) ((pl Xx_0) y)))=> ((x0 Xx_0) (fun (P:(nat->Prop))=> ((((satz6 Xx_0) ((pl y) z)) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (((((satz5 Xx_0) y) z) (fun (x2:nat)=> ((P ((pl x) z))->(P x2)))) (x00 (fun (x1:nat)=> (P ((pl x1) z))))))))))))) % 245.20/245.47 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------