%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO003^1 : TPTP v7.5.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n028.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 : 0s % DateTime : Tue Mar 29 00:50:22 EDT 2022 % Result : Theorem 0.58s 0.85s % Output : Proof 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : SYO003^1 : TPTP v7.5.0. Released v3.7.0. % 0.11/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.11/0.32 % Computer : n028.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % RAMPerCPU : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % DateTime : Thu Mar 10 23:11:47 EST 2022 % 0.11/0.32 % CPUTime : % 0.18/0.32 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.18/0.33 Python 2.7.5 % 0.58/0.85 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.58/0.85 FOF formula (<kernel.Constant object at 0xc733f8>, <kernel.DependentProduct object at 0xc73128>) of role type named leibeq_decl % 0.58/0.85 Using role type % 0.58/0.85 Declaring leibeq:(fofType->(fofType->Prop)) % 0.58/0.85 FOF formula (((eq (fofType->(fofType->Prop))) leibeq) (fun (X:fofType) (Y:fofType)=> (forall (P:(fofType->Prop)), ((P X)->(P Y))))) of role definition named leibeq % 0.58/0.85 A new definition: (((eq (fofType->(fofType->Prop))) leibeq) (fun (X:fofType) (Y:fofType)=> (forall (P:(fofType->Prop)), ((P X)->(P Y))))) % 0.58/0.85 Defined: leibeq:=(fun (X:fofType) (Y:fofType)=> (forall (P:(fofType->Prop)), ((P X)->(P Y)))) % 0.58/0.85 FOF formula (forall (X:fofType) (Y:fofType) (P:(fofType->Prop)), (((and ((leibeq X) Y)) (P X))->(P Y))) of role conjecture named conj % 0.58/0.85 Conjecture to prove = (forall (X:fofType) (Y:fofType) (P:(fofType->Prop)), (((and ((leibeq X) Y)) (P X))->(P Y))):Prop % 0.58/0.85 Parameter fofType_DUMMY:fofType. % 0.58/0.85 We need to prove ['(forall (X:fofType) (Y:fofType) (P:(fofType->Prop)), (((and ((leibeq X) Y)) (P X))->(P Y)))'] % 0.58/0.85 Parameter fofType:Type. % 0.58/0.85 Definition leibeq:=(fun (X:fofType) (Y:fofType)=> (forall (P:(fofType->Prop)), ((P X)->(P Y)))):(fofType->(fofType->Prop)). % 0.58/0.85 Trying to prove (forall (X:fofType) (Y:fofType) (P:(fofType->Prop)), (((and ((leibeq X) Y)) (P X))->(P Y))) % 0.58/0.85 Found x00:=(x0 P):((P X)->(P Y)) % 0.58/0.85 Found (x0 P) as proof of ((P X)->(P Y)) % 0.58/0.85 Found (fun (x0:((leibeq X) Y))=> (x0 P)) as proof of ((P X)->(P Y)) % 0.58/0.85 Found (fun (x0:((leibeq X) Y))=> (x0 P)) as proof of (((leibeq X) Y)->((P X)->(P Y))) % 0.58/0.85 Found (and_rect00 (fun (x0:((leibeq X) Y))=> (x0 P))) as proof of (P Y) % 0.58/0.85 Found ((and_rect0 (P Y)) (fun (x0:((leibeq X) Y))=> (x0 P))) as proof of (P Y) % 0.58/0.85 Found (((fun (P0:Type) (x0:(((leibeq X) Y)->((P X)->P0)))=> (((((and_rect ((leibeq X) Y)) (P X)) P0) x0) x)) (P Y)) (fun (x0:((leibeq X) Y))=> (x0 P))) as proof of (P Y) % 0.58/0.85 Found (fun (x:((and ((leibeq X) Y)) (P X)))=> (((fun (P0:Type) (x0:(((leibeq X) Y)->((P X)->P0)))=> (((((and_rect ((leibeq X) Y)) (P X)) P0) x0) x)) (P Y)) (fun (x0:((leibeq X) Y))=> (x0 P)))) as proof of (P Y) % 0.58/0.85 Found (fun (P:(fofType->Prop)) (x:((and ((leibeq X) Y)) (P X)))=> (((fun (P0:Type) (x0:(((leibeq X) Y)->((P X)->P0)))=> (((((and_rect ((leibeq X) Y)) (P X)) P0) x0) x)) (P Y)) (fun (x0:((leibeq X) Y))=> (x0 P)))) as proof of (((and ((leibeq X) Y)) (P X))->(P Y)) % 0.58/0.85 Found (fun (Y:fofType) (P:(fofType->Prop)) (x:((and ((leibeq X) Y)) (P X)))=> (((fun (P0:Type) (x0:(((leibeq X) Y)->((P X)->P0)))=> (((((and_rect ((leibeq X) Y)) (P X)) P0) x0) x)) (P Y)) (fun (x0:((leibeq X) Y))=> (x0 P)))) as proof of (forall (P:(fofType->Prop)), (((and ((leibeq X) Y)) (P X))->(P Y))) % 0.58/0.85 Found (fun (X:fofType) (Y:fofType) (P:(fofType->Prop)) (x:((and ((leibeq X) Y)) (P X)))=> (((fun (P0:Type) (x0:(((leibeq X) Y)->((P X)->P0)))=> (((((and_rect ((leibeq X) Y)) (P X)) P0) x0) x)) (P Y)) (fun (x0:((leibeq X) Y))=> (x0 P)))) as proof of (forall (Y:fofType) (P:(fofType->Prop)), (((and ((leibeq X) Y)) (P X))->(P Y))) % 0.58/0.85 Found (fun (X:fofType) (Y:fofType) (P:(fofType->Prop)) (x:((and ((leibeq X) Y)) (P X)))=> (((fun (P0:Type) (x0:(((leibeq X) Y)->((P X)->P0)))=> (((((and_rect ((leibeq X) Y)) (P X)) P0) x0) x)) (P Y)) (fun (x0:((leibeq X) Y))=> (x0 P)))) as proof of (forall (X:fofType) (Y:fofType) (P:(fofType->Prop)), (((and ((leibeq X) Y)) (P X))->(P Y))) % 0.58/0.85 Got proof (fun (X:fofType) (Y:fofType) (P:(fofType->Prop)) (x:((and ((leibeq X) Y)) (P X)))=> (((fun (P0:Type) (x0:(((leibeq X) Y)->((P X)->P0)))=> (((((and_rect ((leibeq X) Y)) (P X)) P0) x0) x)) (P Y)) (fun (x0:((leibeq X) Y))=> (x0 P)))) % 0.58/0.85 Time elapsed = 0.132117s % 0.58/0.85 node=20 cost=-8.000000 depth=10 % 0.58/0.85 :::::::::::::::::::::: % 0.58/0.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.58/0.85 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.58/0.85 (fun (X:fofType) (Y:fofType) (P:(fofType->Prop)) (x:((and ((leibeq X) Y)) (P X)))=> (((fun (P0:Type) (x0:(((leibeq X) Y)->((P X)->P0)))=> (((((and_rect ((leibeq X) Y)) (P X)) P0) x0) x)) (P Y)) (fun (x0:((leibeq X) Y))=> (x0 P)))) % 0.58/0.85 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------