%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : MSC021^5 : TPTP v6.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n102.star.cs.uiowa.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz % Memory : 32286.75MB % OS : Linux 2.6.32-431.20.3.el6.x86_64 % CPULimit : 300s % DateTime : Thu Jul 17 13:26:42 EDT 2014 % Result : Unknown 36.27s % Output : None % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----NO SOLUTION OUTPUT BY SYSTEM %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : MSC021^5 : TPTP v6.1.0. Released v4.0.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n102.star.cs.uiowa.edu % % Model : x86_64 x86_64 % % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % % Memory : 32286.75MB % % OS : Linux 2.6.32-431.20.3.el6.x86_64 % % CPULimit : 300 % % DateTime : Thu Jul 17 07:37:16 CDT 2014 % % CPUTime : 36.27 % Python 2.7.5 % Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % FOF formula (<kernel.Constant object at 0x1d4cb48>, <kernel.DependentProduct object at 0x1d31fc8>) of role type named cS % Using role type % Declaring cS:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x21863f8>, <kernel.DependentProduct object at 0x1d31d40>) of role type named cDOUBLE % Using role type % Declaring cDOUBLE:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1d4cb48>, <kernel.DependentProduct object at 0x1d31dd0>) of role type named cHALF % Using role type % Declaring cHALF:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1d4cb48>, <kernel.Single object at 0x1d31ea8>) of role type named c0 % Using role type % Declaring c0:fofType % FOF formula (((and ((and ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Q:(fofType->(fofType->Prop))) (Xu:fofType) (Xv:fofType), (((and ((and ((and ((cHALF Xu) Xv)) ((Q c0) c0))) ((Q (cS c0)) c0))) (forall (Xx:fofType) (Xy:fofType), (((Q Xx) Xy)->((Q (cS (cS Xx))) (cS Xy)))))->((Q Xu) Xv))))->(forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->((or ((cDOUBLE Xv) Xu)) ((cDOUBLE (cS Xv)) (cS Xu)))))) of role conjecture named cTHM300 % Conjecture to prove = (((and ((and ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Q:(fofType->(fofType->Prop))) (Xu:fofType) (Xv:fofType), (((and ((and ((and ((cHALF Xu) Xv)) ((Q c0) c0))) ((Q (cS c0)) c0))) (forall (Xx:fofType) (Xy:fofType), (((Q Xx) Xy)->((Q (cS (cS Xx))) (cS Xy)))))->((Q Xu) Xv))))->(forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->((or ((cDOUBLE Xv) Xu)) ((cDOUBLE (cS Xv)) (cS Xu)))))):Prop % We need to prove ['(((and ((and ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Q:(fofType->(fofType->Prop))) (Xu:fofType) (Xv:fofType), (((and ((and ((and ((cHALF Xu) Xv)) ((Q c0) c0))) ((Q (cS c0)) c0))) (forall (Xx:fofType) (Xy:fofType), (((Q Xx) Xy)->((Q (cS (cS Xx))) (cS Xy)))))->((Q Xu) Xv))))->(forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->((or ((cDOUBLE Xv) Xu)) ((cDOUBLE (cS Xv)) (cS Xu))))))'] % Parameter fofType:Type. % Parameter cS:(fofType->fofType). % Parameter cDOUBLE:(fofType->(fofType->Prop)). % Parameter cHALF:(fofType->(fofType->Prop)). % Parameter c0:fofType. % Trying to prove (((and ((and ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))) (forall (Q:(fofType->(fofType->Prop))) (Xu:fofType) (Xv:fofType), (((and ((and ((and ((cHALF Xu) Xv)) ((Q c0) c0))) ((Q (cS c0)) c0))) (forall (Xx:fofType) (Xy:fofType), (((Q Xx) Xy)->((Q (cS (cS Xx))) (cS Xy)))))->((Q Xu) Xv))))->(forall (Xu:fofType) (Xv:fofType), (((cHALF Xu) Xv)->((or ((cDOUBLE Xv) Xu)) ((cDOUBLE (cS Xv)) (cS Xu)))))) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found x3 as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found x3:((cDOUBLE c0) c0) % Found (fun (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((cDOUBLE c0) c0) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of ((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0)) % Found (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3) as proof of (((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->((cDOUBLE c0) c0))) % Found (and_rect10 (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found ((and_rect1 ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % Found (((fun (P:Type) (x3:(((cDOUBLE c0) c0)->((forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))->P)))=> (((((and_rect ((cDOUBLE c0) c0)) (forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy)))))) P) x3) x1)) ((cDOUBLE c0) c0)) (fun (x3:((cDOUBLE c0) c0)) (x4:(forall (Xx:fofType) (Xy:fofType), (((cDOUBLE Xx) Xy)->((cDOUBLE (cS Xx)) (cS (cS Xy))))))=> x3)) as proof of ((cDOUBLE c0) c0) % % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------