TSTP Solution File: SYO183^6 by cocATP---0.2.0

View Problem - Process Solution

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% File     : cocATP---0.2.0
% Problem  : SYO183^6 : TPTP v7.5.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 00:50:51 EDT 2022

% Result   : Theorem 0.48s 0.65s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYO183^6 : TPTP v7.5.0. Released v5.1.0.
% 0.00/0.11  % Command    : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32  % Computer   : n001.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 17:34:26 EST 2022
% 0.12/0.32  % CPUTime    : 
% 0.12/0.33  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.19/0.33  Python 2.7.5
% 0.48/0.65  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.48/0.65  FOF formula (forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))) of role conjecture named cTHM123
% 0.48/0.65  Conjecture to prove = (forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))):Prop
% 0.48/0.65  We need to prove ['(forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))))']
% 0.48/0.65  Trying to prove (forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))))
% 0.48/0.65  Found ex_intro:(forall (A:Type) (P:(A->Prop)) (x:A), ((P x)->((ex A) P)))
% 0.48/0.65  Found ex_intro as proof of (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P)))
% 0.48/0.65  Found (ex_intro000 ex_intro) as proof of ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))
% 0.48/0.65  Found ((ex_intro00 (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro) as proof of ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))
% 0.48/0.65  Found (((ex_intro0 (fun (Xf:(Prop->Prop))=> (Xf Xp))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro) as proof of ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))
% 0.48/0.65  Found ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro) as proof of ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))
% 0.48/0.65  Found (fun (Xp:Prop)=> ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro)) as proof of ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))
% 0.48/0.65  Found (fun (Xp:Prop)=> ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro)) as proof of (forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))))
% 0.48/0.65  Got proof (fun (Xp:Prop)=> ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro))
% 0.48/0.65  Time elapsed = 0.063134s
% 0.48/0.65  node=22 cost=319.000000 depth=6
% 0.48/0.65  ::::::::::::::::::::::
% 0.48/0.65  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.65  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.65  (fun (Xp:Prop)=> ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro))
% 0.48/0.65  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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