TSTP Solution File: SYO220^5 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO220^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 00:50:56 EDT 2022
% Result : Theorem 0.59s 0.84s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO220^5 : TPTP v7.5.0. Released v4.0.0.
% 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % RAMPerCPU : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Mar 11 20:12:15 EST 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35 Python 2.7.5
% 0.59/0.84 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.59/0.84 FOF formula (forall (X:fofType) (Y:fofType), ((((eq fofType) X) Y)->(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y))))) of role conjecture named cTHM47A
% 0.59/0.84 Conjecture to prove = (forall (X:fofType) (Y:fofType), ((((eq fofType) X) Y)->(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y))))):Prop
% 0.59/0.84 Parameter fofType_DUMMY:fofType.
% 0.59/0.84 We need to prove ['(forall (X:fofType) (Y:fofType), ((((eq fofType) X) Y)->(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))))']
% 0.59/0.84 Parameter fofType:Type.
% 0.59/0.84 Trying to prove (forall (X:fofType) (Y:fofType), ((((eq fofType) X) Y)->(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))))
% 0.59/0.84 Found x000:=(x00 X):((R X) X)
% 0.59/0.84 Found (x00 X) as proof of ((R X) X)
% 0.59/0.84 Found (fun (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X)) as proof of ((R X) X)
% 0.59/0.84 Found (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X)) as proof of ((forall (Z:fofType), ((R Z) Z))->((R X) X))
% 0.59/0.84 Found (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X)) as proof of (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) X)))
% 0.59/0.84 Found (x0 (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X))) as proof of (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))
% 0.59/0.84 Found ((x (fun (x1:fofType)=> (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) x1))))) (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X))) as proof of (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))
% 0.59/0.84 Found (fun (x:(((eq fofType) X) Y))=> ((x (fun (x1:fofType)=> (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) x1))))) (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X)))) as proof of (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))
% 0.59/0.84 Found (fun (Y:fofType) (x:(((eq fofType) X) Y))=> ((x (fun (x1:fofType)=> (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) x1))))) (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X)))) as proof of ((((eq fofType) X) Y)->(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y))))
% 0.59/0.84 Found (fun (X:fofType) (Y:fofType) (x:(((eq fofType) X) Y))=> ((x (fun (x1:fofType)=> (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) x1))))) (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X)))) as proof of (forall (Y:fofType), ((((eq fofType) X) Y)->(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))))
% 0.59/0.84 Found (fun (X:fofType) (Y:fofType) (x:(((eq fofType) X) Y))=> ((x (fun (x1:fofType)=> (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) x1))))) (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X)))) as proof of (forall (X:fofType) (Y:fofType), ((((eq fofType) X) Y)->(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))))
% 0.59/0.84 Got proof (fun (X:fofType) (Y:fofType) (x:(((eq fofType) X) Y))=> ((x (fun (x1:fofType)=> (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) x1))))) (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X))))
% 0.59/0.84 Time elapsed = 0.201899s
% 0.59/0.84 node=21 cost=-27.000000 depth=9
% 0.59/0.84 ::::::::::::::::::::::
% 0.59/0.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.84 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.84 (fun (X:fofType) (Y:fofType) (x:(((eq fofType) X) Y))=> ((x (fun (x1:fofType)=> (forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) x1))))) (fun (R:(fofType->(fofType->Prop))) (x00:(forall (Z:fofType), ((R Z) Z)))=> (x00 X))))
% 0.59/0.84 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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