TSTP Solution File: SYO216^5 by cocATP---0.2.0

View Problem - Process Solution

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% File     : cocATP---0.2.0
% Problem  : SYO216^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n031.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 00:50:56 EDT 2022

% Result   : Theorem 0.53s 0.75s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYO216^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer   : n031.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   : Fri Mar 11 19:35:13 EST 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34  Python 2.7.5
% 0.53/0.75  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.53/0.75  FOF formula (<kernel.Constant object at 0x215be18>, <kernel.Type object at 0x215b3f8>) of role type named b_type
% 0.53/0.75  Using role type
% 0.53/0.75  Declaring b:Type
% 0.53/0.75  FOF formula (forall (X:(b->b)) (Y:(b->b)) (Z:(b->b)), (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W)))))) of role conjecture named cTHM107_pme
% 0.53/0.75  Conjecture to prove = (forall (X:(b->b)) (Y:(b->b)) (Z:(b->b)), (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W)))))):Prop
% 0.53/0.75  Parameter b_DUMMY:b.
% 0.53/0.75  We need to prove ['(forall (X:(b->b)) (Y:(b->b)) (Z:(b->b)), (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W))))))']
% 0.53/0.75  Parameter b:Type.
% 0.53/0.75  Trying to prove (forall (X:(b->b)) (Y:(b->b)) (Z:(b->b)), (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W))))))
% 0.53/0.75  Found eq_ref00:=(eq_ref0 (fun (W:b)=> (X (Y (Z W))))):(((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W)))))
% 0.53/0.75  Found (eq_ref0 (fun (W:b)=> (X (Y (Z W))))) as proof of (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W)))))
% 0.53/0.75  Found ((eq_ref (b->b)) (fun (W:b)=> (X (Y (Z W))))) as proof of (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W)))))
% 0.53/0.75  Found (fun (Z:(b->b))=> ((eq_ref (b->b)) (fun (W:b)=> (X (Y (Z W)))))) as proof of (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W)))))
% 0.53/0.75  Found (fun (Y:(b->b)) (Z:(b->b))=> ((eq_ref (b->b)) (fun (W:b)=> (X (Y (Z W)))))) as proof of (forall (Z:(b->b)), (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W))))))
% 0.53/0.75  Found (fun (X:(b->b)) (Y:(b->b)) (Z:(b->b))=> ((eq_ref (b->b)) (fun (W:b)=> (X (Y (Z W)))))) as proof of (forall (Y:(b->b)) (Z:(b->b)), (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W))))))
% 0.53/0.75  Found (fun (X:(b->b)) (Y:(b->b)) (Z:(b->b))=> ((eq_ref (b->b)) (fun (W:b)=> (X (Y (Z W)))))) as proof of (forall (X:(b->b)) (Y:(b->b)) (Z:(b->b)), (((eq (b->b)) (fun (W:b)=> (X (Y (Z W))))) (fun (W:b)=> (X (Y (Z W))))))
% 0.53/0.75  Got proof (fun (X:(b->b)) (Y:(b->b)) (Z:(b->b))=> ((eq_ref (b->b)) (fun (W:b)=> (X (Y (Z W))))))
% 0.53/0.75  Time elapsed = 0.129739s
% 0.53/0.75  node=13 cost=-172.000000 depth=5
% 0.53/0.75  ::::::::::::::::::::::
% 0.53/0.75  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.75  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.75  (fun (X:(b->b)) (Y:(b->b)) (Z:(b->b))=> ((eq_ref (b->b)) (fun (W:b)=> (X (Y (Z W))))))
% 0.53/0.75  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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