TSTP Solution File: SYO287^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO287^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 0.54s 0.74s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SYO287^5 : TPTP v7.5.0. Released v4.0.0.
% 0.08/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n006.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 : Sat Mar 12 00:56:14 EST 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.34 Python 2.7.5
% 0.54/0.74 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.54/0.74 FOF formula (<kernel.Constant object at 0xa52998>, <kernel.DependentProduct object at 0xa52d88>) of role type named cB
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring cB:(fofType->(fofType->Prop))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0xa56cb0>, <kernel.DependentProduct object at 0xcf2c20>) of role type named cA
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring cA:(fofType->Prop)
% 0.54/0.74 FOF formula (<kernel.Constant object at 0xa52d88>, <kernel.Single object at 0xa52098>) of role type named c0
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring c0:fofType
% 0.54/0.74 FOF formula ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))))) of role conjecture named cSV9
% 0.54/0.74 Conjecture to prove = ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))))):Prop
% 0.54/0.74 We need to prove ['((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx))))))']
% 0.54/0.74 Parameter fofType:Type.
% 0.54/0.74 Parameter cB:(fofType->(fofType->Prop)).
% 0.54/0.74 Parameter cA:(fofType->Prop).
% 0.54/0.74 Parameter c0:fofType.
% 0.54/0.74 Trying to prove ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx))))))
% 0.54/0.74 Found iff_refl0:=(iff_refl ((x Xx) c0)):((iff ((x Xx) c0)) ((x Xx) c0))
% 0.54/0.74 Found (iff_refl ((x Xx) c0)) as proof of ((iff ((x Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))
% 0.54/0.74 Found (iff_refl ((x Xx) c0)) as proof of ((iff ((x Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))
% 0.54/0.74 Found (fun (Xx:fofType)=> (iff_refl ((x Xx) c0))) as proof of ((iff ((x Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))
% 0.54/0.74 Found (fun (Xx:fofType)=> (iff_refl ((x Xx) c0))) as proof of (forall (Xx:fofType), ((iff ((x Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx))))
% 0.54/0.74 Found (ex_intro000 (fun (Xx:fofType)=> (iff_refl ((x Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx))))))
% 0.54/0.74 Found ((ex_intro00 (fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2))) Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx))))))
% 0.54/0.74 Found (((ex_intro0 (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2))) Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx))))))
% 0.54/0.74 Found ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2))) Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx))))))
% 0.54/0.74 Found ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2))) Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx))))))
% 0.54/0.74 Got proof ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2))) Xx) c0))))
% 0.54/0.74 Time elapsed = 0.130307s
% 0.54/0.74 node=20 cost=135.000000 depth=8
% 0.54/0.74 ::::::::::::::::::::::
% 0.54/0.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.74 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.74 ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((or (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((or (cA x2)) ((cB x2) x2))) Xx) c0))))
% 0.54/0.74 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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