TSTP Solution File: SYO288^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO288^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 0.55s 0.75s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SYO288^5 : TPTP v7.5.0. Released v4.0.0.
% 0.04/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 01:09:03 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.55/0.75 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x1b97908>, <kernel.DependentProduct object at 0x1b97638>) of role type named cB
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring cB:(fofType->(fofType->Prop))
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x1bbed88>, <kernel.DependentProduct object at 0x1b979e0>) of role type named cA
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring cA:(fofType->Prop)
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x1b97908>, <kernel.Single object at 0x1b97cf8>) of role type named c0
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring c0:fofType
% 0.55/0.75 FOF formula ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) of role conjecture named cSV10
% 0.55/0.75 Conjecture to prove = ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))):Prop
% 0.55/0.75 We need to prove ['((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx))))))']
% 0.55/0.75 Parameter fofType:Type.
% 0.55/0.75 Parameter cB:(fofType->(fofType->Prop)).
% 0.55/0.75 Parameter cA:(fofType->Prop).
% 0.55/0.75 Parameter c0:fofType.
% 0.55/0.75 Trying to prove ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx))))))
% 0.55/0.75 Found iff_refl0:=(iff_refl ((x Xx) c0)):((iff ((x Xx) c0)) ((x Xx) c0))
% 0.55/0.75 Found (iff_refl ((x Xx) c0)) as proof of ((iff ((x Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))
% 0.55/0.75 Found (iff_refl ((x Xx) c0)) as proof of ((iff ((x Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))
% 0.55/0.75 Found (fun (Xx:fofType)=> (iff_refl ((x Xx) c0))) as proof of ((iff ((x Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))
% 0.55/0.75 Found (fun (Xx:fofType)=> (iff_refl ((x Xx) c0))) as proof of (forall (Xx:fofType), ((iff ((x Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx))))
% 0.55/0.75 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)) ((and (cA Xx)) ((cB Xx) Xx))))))
% 0.55/0.75 Found ((ex_intro00 (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (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)) ((and (cA Xx)) ((cB Xx) Xx))))))
% 0.55/0.75 Found (((ex_intro0 (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (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)) ((and (cA Xx)) ((cB Xx) Xx))))))
% 0.55/0.75 Found ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (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)) ((and (cA Xx)) ((cB Xx) Xx))))))
% 0.55/0.75 Found ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (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)) ((and (cA Xx)) ((cB Xx) Xx))))))
% 0.55/0.75 Got proof ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2))) Xx) c0))))
% 0.55/0.75 Time elapsed = 0.129871s
% 0.55/0.75 node=21 cost=136.000000 depth=8
% 0.55/0.75 ::::::::::::::::::::::
% 0.55/0.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.75 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.75 ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2))) Xx) c0))))
% 0.55/0.75 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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