TSTP Solution File: SYO289^5 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO289^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 00:51:05 EDT 2022
% Result : Theorem 0.50s 0.68s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO289^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Mar 12 01:13:16 EST 2022
% 0.12/0.33 % 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
% 0.50/0.68 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.50/0.68 FOF formula (forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))))) of role conjecture named cTRIV2
% 0.50/0.68 Conjecture to prove = (forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))))):Prop
% 0.50/0.68 Parameter fofType_DUMMY:fofType.
% 0.50/0.68 We need to prove ['(forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy)))))']
% 0.50/0.68 Parameter fofType:Type.
% 0.50/0.68 Trying to prove (forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy)))))
% 0.50/0.68 Found x0:=(x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0))))):((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy)))
% 0.50/0.68 Found (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy)))
% 0.50/0.68 Found (fun (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy)))
% 0.50/0.68 Found (fun (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) as proof of ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))))
% 0.50/0.68 Found (fun (Xr:(fofType->(fofType->Prop))) (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) as proof of (forall (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy)))))
% 0.50/0.68 Found (fun (Xr:(fofType->(fofType->Prop))) (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) as proof of (forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy)))))
% 0.50/0.68 Got proof (fun (Xr:(fofType->(fofType->Prop))) (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0))))))
% 0.50/0.68 Time elapsed = 0.062208s
% 0.50/0.68 node=4 cost=-85.000000 depth=4
% 0.50/0.68 ::::::::::::::::::::::
% 0.50/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.68 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.68 (fun (Xr:(fofType->(fofType->Prop))) (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0))))))
% 0.50/0.68 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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