TSTP Solution File: SYO230^5 by cocATP---0.2.0

View Problem - Process Solution

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% File     : cocATP---0.2.0
% Problem  : SYO230^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 00:50:58 EDT 2022

% Result   : Theorem 0.67s 0.84s
% Output   : Proof 0.67s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO230^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.13  % Command    : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer   : n011.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % DateTime   : Fri Mar 11 20:09:10 EST 2022
% 0.12/0.34  % 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
% 0.67/0.84  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.67/0.84  FOF formula (<kernel.Constant object at 0x2ab583e6c758>, <kernel.DependentProduct object at 0xe03c68>) of role type named cB
% 0.67/0.84  Using role type
% 0.67/0.84  Declaring cB:(fofType->Prop)
% 0.67/0.84  FOF formula (<kernel.Constant object at 0x2ab583e6cb00>, <kernel.DependentProduct object at 0xe03d40>) of role type named cA
% 0.67/0.84  Using role type
% 0.67/0.84  Declaring cA:(fofType->Prop)
% 0.67/0.84  FOF formula ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) of role conjecture named cSV2
% 0.67/0.84  Conjecture to prove = ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))):Prop
% 0.67/0.84  Parameter fofType_DUMMY:fofType.
% 0.67/0.84  We need to prove ['((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))))']
% 0.67/0.84  Parameter fofType:Type.
% 0.67/0.84  Parameter cB:(fofType->Prop).
% 0.67/0.84  Parameter cA:(fofType->Prop).
% 0.67/0.84  Trying to prove ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))))
% 0.67/0.84  Found eq_ref00:=(eq_ref0 x):(((eq (fofType->Prop)) x) x)
% 0.67/0.84  Found (eq_ref0 x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))
% 0.67/0.84  Found ((eq_ref (fofType->Prop)) x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))
% 0.67/0.84  Found ((eq_ref (fofType->Prop)) x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))
% 0.67/0.84  Found ((eq_ref (fofType->Prop)) x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))
% 0.67/0.84  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)=> ((or (cA Xx)) (cB Xx))))))
% 0.67/0.84  Found ((ex_intro00 (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))))
% 0.67/0.84  Found (((ex_intro0 (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))))
% 0.67/0.84  Found ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))))
% 0.67/0.84  Found ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))))
% 0.67/0.84  Got proof ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))
% 0.67/0.84  Time elapsed = 0.222610s
% 0.67/0.84  node=50 cost=44.000000 depth=8
% 0.67/0.84  ::::::::::::::::::::::
% 0.67/0.84  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.84  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.84  ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))
% 0.67/0.84  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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