TSTP Solution File: SYO229^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO229^5 : 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 00:50:57 EDT 2022
% Result : Theorem 0.61s 0.83s
% Output : Proof 0.61s
% 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 : SYO229^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Fri Mar 11 20:19:18 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
% 0.61/0.83 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x2b21c1d02b00>, <kernel.DependentProduct object at 0x2b21c1d02ea8>) of role type named cB
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring cB:(fofType->Prop)
% 0.61/0.83 FOF formula (<kernel.Constant object at 0x1d6a5a8>, <kernel.DependentProduct object at 0x2b21c1d02c68>) of role type named cA
% 0.61/0.83 Using role type
% 0.61/0.83 Declaring cA:(fofType->Prop)
% 0.61/0.83 FOF formula ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))))) of role conjecture named cSV3
% 0.61/0.83 Conjecture to prove = ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))))):Prop
% 0.61/0.83 Parameter fofType_DUMMY:fofType.
% 0.61/0.83 We need to prove ['((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))))']
% 0.61/0.83 Parameter fofType:Type.
% 0.61/0.83 Parameter cB:(fofType->Prop).
% 0.61/0.83 Parameter cA:(fofType->Prop).
% 0.61/0.83 Trying to prove ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))))
% 0.61/0.83 Found eq_ref00:=(eq_ref0 x):(((eq (fofType->Prop)) x) x)
% 0.61/0.83 Found (eq_ref0 x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))
% 0.61/0.83 Found ((eq_ref (fofType->Prop)) x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))
% 0.61/0.83 Found ((eq_ref (fofType->Prop)) x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))
% 0.61/0.83 Found ((eq_ref (fofType->Prop)) x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))
% 0.61/0.83 Found (ex_intro000 ((eq_ref (fofType->Prop)) x)) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))))
% 0.61/0.83 Found ((ex_intro00 (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))))
% 0.61/0.83 Found (((ex_intro0 (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))))
% 0.61/0.83 Found ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))))
% 0.61/0.83 Found ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx))))))
% 0.61/0.83 Got proof ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))))
% 0.61/0.83 Time elapsed = 0.214095s
% 0.61/0.83 node=50 cost=44.000000 depth=8
% 0.61/0.83 ::::::::::::::::::::::
% 0.61/0.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.83 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.83 ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((and (cA Xx)) (cB Xx)))))
% 0.61/0.83 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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