TSTP Solution File: SYO267^5 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO267^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 00:51:02 EDT 2022
% Result : Unknown 0.77s 0.95s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO267^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % RAMPerCPU : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Mar 11 23:38:33 EST 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35 Python 2.7.5
% 0.70/0.86 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.70/0.86 FOF formula (forall (P:(fofType->Prop)), ((ex ((fofType->fofType)->Prop)) (fun (M:((fofType->fofType)->Prop))=> (forall (G:(fofType->fofType)) (H:(fofType->fofType)), (((and (M G)) (M H))->((and (M (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))))))) of role conjecture named cTHM111
% 0.70/0.86 Conjecture to prove = (forall (P:(fofType->Prop)), ((ex ((fofType->fofType)->Prop)) (fun (M:((fofType->fofType)->Prop))=> (forall (G:(fofType->fofType)) (H:(fofType->fofType)), (((and (M G)) (M H))->((and (M (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))))))):Prop
% 0.70/0.86 Parameter fofType_DUMMY:fofType.
% 0.70/0.86 We need to prove ['(forall (P:(fofType->Prop)), ((ex ((fofType->fofType)->Prop)) (fun (M:((fofType->fofType)->Prop))=> (forall (G:(fofType->fofType)) (H:(fofType->fofType)), (((and (M G)) (M H))->((and (M (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y))))))))))']
% 0.70/0.86 Parameter fofType:Type.
% 0.70/0.86 Trying to prove (forall (P:(fofType->Prop)), ((ex ((fofType->fofType)->Prop)) (fun (M:((fofType->fofType)->Prop))=> (forall (G:(fofType->fofType)) (H:(fofType->fofType)), (((and (M G)) (M H))->((and (M (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y))))))))))
% 0.70/0.86 Found conj000:=(conj00 (x H)):((x H)->((and (x (fun (Z:fofType)=> (G (H Z))))) (x H)))
% 0.70/0.86 Found (conj00 (x H)) as proof of ((x H)->((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 0.70/0.86 Found ((fun (B:Prop)=> ((conj0 B) x00)) (x H)) as proof of ((x H)->((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 0.70/0.86 Found ((fun (B:Prop)=> (((conj (x (fun (Z:fofType)=> (G (H Z))))) B) x00)) (x H)) as proof of ((x H)->((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 0.70/0.86 Found ((fun (B:Prop)=> (((conj (x (fun (Z:fofType)=> (G (H Z))))) B) x00)) (x H)) as proof of ((x H)->((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 0.70/0.86 Found (fun (x00:(x G))=> ((fun (B:Prop)=> (((conj (x (fun (Z:fofType)=> (G (H Z))))) B) x00)) (x H))) as proof of ((x H)->((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 0.70/0.86 Found (fun (x00:(x G))=> ((fun (B:Prop)=> (((conj (x (fun (Z:fofType)=> (G (H Z))))) B) x00)) (x H))) as proof of ((x G)->((x H)->((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))))
% 0.70/0.86 Found (and_rect00 (fun (x00:(x G))=> ((fun (B:Prop)=> (((conj (x (fun (Z:fofType)=> (G (H Z))))) B) x00)) (x H)))) as proof of ((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 0.70/0.86 Found ((and_rect0 ((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (fun (x00:(x G))=> ((fun (B:Prop)=> (((conj (x (fun (Z:fofType)=> (G (H Z))))) B) x00)) (x H)))) as proof of ((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 0.70/0.86 Found (((fun (P0:Type) (x1:((x G)->((x H)->P0)))=> (((((and_rect (x G)) (x H)) P0) x1) x0)) ((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (fun (x00:(x G))=> ((fun (B:Prop)=> (((conj (x (fun (Z:fofType)=> (G (H Z))))) B) x00)) (x H)))) as proof of ((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 0.70/0.86 Found (fun (x0:((and (x G)) (x H)))=> (((fun (P0:Type) (x1:((x G)->((x H)->P0)))=> (((((and_rect (x G)) (x H)) P0) x1) x0)) ((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (fun (x00:(x G))=> ((fun (B:Prop)=> (((conj (x (fun (Z:fofType)=> (G (H Z))))) B) x00)) (x H))))) as proof of ((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))
% 0.70/0.86 Found (fun (H:(fofType->fofType)) (x0:((and (x G)) (x H)))=> (((fun (P0:Type) (x1:((x G)->((x H)->P0)))=> (((((and_rect (x G)) (x H)) P0) x1) x0)) ((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y)))))) (fun (x00:(x G))=> ((fun (B:Prop)=> (((conj (x (fun (Z:fofType)=> (G (H Z))))) B) x00)) (x H))))) as proof of (((and (x G)) (x H))->((and (x (fun (Z:fofType)=> (G (H Z))))) (forall (Y:fofType), ((P Y)->(P (G Y))))))
% 0.77/0.95 % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
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