TSTP Solution File: SYO305^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO305^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 00:51:07 EDT 2022
% Result : Theorem 0.48s 0.67s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO305^5 : TPTP v7.5.0. Released v4.0.0.
% 0.00/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.32 % Computer : n031.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % RAMPerCPU : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % DateTime : Sat Mar 12 02:37:44 EST 2022
% 0.13/0.32 % CPUTime :
% 0.13/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.33 Python 2.7.5
% 0.48/0.67 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x164c5f0>, <kernel.DependentProduct object at 0x164c518>) of role type named cB
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring cB:(fofType->Prop)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x1650368>, <kernel.DependentProduct object at 0x164cfc8>) of role type named cA
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring cA:(fofType->Prop)
% 0.48/0.67 FOF formula ((forall (Z1:fofType), ((cA Z1)->(cB Z1)))->(forall (Z1:(fofType->Prop)), ((forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))->(forall (Z3:fofType), ((Z1 Z3)->(cB Z3)))))) of role conjecture named cSET79_pme
% 0.48/0.67 Conjecture to prove = ((forall (Z1:fofType), ((cA Z1)->(cB Z1)))->(forall (Z1:(fofType->Prop)), ((forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))->(forall (Z3:fofType), ((Z1 Z3)->(cB Z3)))))):Prop
% 0.48/0.67 Parameter fofType_DUMMY:fofType.
% 0.48/0.67 We need to prove ['((forall (Z1:fofType), ((cA Z1)->(cB Z1)))->(forall (Z1:(fofType->Prop)), ((forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))->(forall (Z3:fofType), ((Z1 Z3)->(cB Z3))))))']
% 0.48/0.67 Parameter fofType:Type.
% 0.48/0.67 Parameter cB:(fofType->Prop).
% 0.48/0.67 Parameter cA:(fofType->Prop).
% 0.48/0.67 Trying to prove ((forall (Z1:fofType), ((cA Z1)->(cB Z1)))->(forall (Z1:(fofType->Prop)), ((forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))->(forall (Z3:fofType), ((Z1 Z3)->(cB Z3))))))
% 0.48/0.67 Found x000:=(x00 x1):(cA Z3)
% 0.48/0.67 Found (x00 x1) as proof of (cA Z3)
% 0.48/0.67 Found ((x0 Z3) x1) as proof of (cA Z3)
% 0.48/0.67 Found ((x0 Z3) x1) as proof of (cA Z3)
% 0.48/0.67 Found (x2 ((x0 Z3) x1)) as proof of (cB Z3)
% 0.48/0.67 Found ((x Z3) ((x0 Z3) x1)) as proof of (cB Z3)
% 0.48/0.67 Found (fun (x1:(Z1 Z3))=> ((x Z3) ((x0 Z3) x1))) as proof of (cB Z3)
% 0.48/0.67 Found (fun (Z3:fofType) (x1:(Z1 Z3))=> ((x Z3) ((x0 Z3) x1))) as proof of ((Z1 Z3)->(cB Z3))
% 0.48/0.67 Found (fun (x0:(forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))) (Z3:fofType) (x1:(Z1 Z3))=> ((x Z3) ((x0 Z3) x1))) as proof of (forall (Z3:fofType), ((Z1 Z3)->(cB Z3)))
% 0.48/0.67 Found (fun (Z1:(fofType->Prop)) (x0:(forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))) (Z3:fofType) (x1:(Z1 Z3))=> ((x Z3) ((x0 Z3) x1))) as proof of ((forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))->(forall (Z3:fofType), ((Z1 Z3)->(cB Z3))))
% 0.48/0.67 Found (fun (x:(forall (Z1:fofType), ((cA Z1)->(cB Z1)))) (Z1:(fofType->Prop)) (x0:(forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))) (Z3:fofType) (x1:(Z1 Z3))=> ((x Z3) ((x0 Z3) x1))) as proof of (forall (Z1:(fofType->Prop)), ((forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))->(forall (Z3:fofType), ((Z1 Z3)->(cB Z3)))))
% 0.48/0.67 Found (fun (x:(forall (Z1:fofType), ((cA Z1)->(cB Z1)))) (Z1:(fofType->Prop)) (x0:(forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))) (Z3:fofType) (x1:(Z1 Z3))=> ((x Z3) ((x0 Z3) x1))) as proof of ((forall (Z1:fofType), ((cA Z1)->(cB Z1)))->(forall (Z1:(fofType->Prop)), ((forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))->(forall (Z3:fofType), ((Z1 Z3)->(cB Z3))))))
% 0.48/0.67 Got proof (fun (x:(forall (Z1:fofType), ((cA Z1)->(cB Z1)))) (Z1:(fofType->Prop)) (x0:(forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))) (Z3:fofType) (x1:(Z1 Z3))=> ((x Z3) ((x0 Z3) x1)))
% 0.48/0.67 Time elapsed = 0.054714s
% 0.48/0.67 node=10 cost=106.000000 depth=10
% 0.48/0.67 ::::::::::::::::::::::
% 0.48/0.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.67 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.67 (fun (x:(forall (Z1:fofType), ((cA Z1)->(cB Z1)))) (Z1:(fofType->Prop)) (x0:(forall (Z3:fofType), ((Z1 Z3)->(cA Z3)))) (Z3:fofType) (x1:(Z1 Z3))=> ((x Z3) ((x0 Z3) x1)))
% 0.48/0.67 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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