TSTP Solution File: SYO883^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO883^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 00:52:44 EDT 2022
% Result : Unknown 1.08s 1.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SYO883^1 : TPTP v7.5.0. Released v7.5.0.
% 0.02/0.09 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n012.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % RAMPerCPU : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % DateTime : Wed Mar 16 05:25:33 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.09/0.30 Python 2.7.5
% 1.08/1.24 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 1.08/1.24 FOF formula (<kernel.Constant object at 0x1b99128>, <kernel.DependentProduct object at 0x1b993b0>) of role type named f
% 1.08/1.24 Using role type
% 1.08/1.24 Declaring f:(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->fofType))))))
% 1.08/1.24 FOF formula (<kernel.Constant object at 0x1b94dd0>, <kernel.Single object at 0x1b992d8>) of role type named a
% 1.08/1.24 Using role type
% 1.08/1.24 Declaring a:fofType
% 1.08/1.24 FOF formula (<kernel.Constant object at 0x1b99cf8>, <kernel.Single object at 0x1b99998>) of role type named b
% 1.08/1.24 Using role type
% 1.08/1.24 Declaring b:fofType
% 1.08/1.24 FOF formula (<kernel.Constant object at 0x1b997e8>, <kernel.Single object at 0x1b99128>) of role type named c
% 1.08/1.24 Using role type
% 1.08/1.24 Declaring c:fofType
% 1.08/1.24 FOF formula (forall (F:(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->fofType)))))))))), ((or (not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))) (not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))) of role axiom named ax
% 1.08/1.24 A new axiom: (forall (F:(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->fofType)))))))))), ((or (not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))) (not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))))
% 1.08/1.24 We need to prove []
% 1.08/1.24 Parameter fofType:Type.
% 1.08/1.24 Parameter f:(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->fofType)))))).
% 1.08/1.24 Parameter a:fofType.
% 1.08/1.24 Parameter b:fofType.
% 1.08/1.24 Parameter c:fofType.
% 1.08/1.24 Axiom ax:(forall (F:(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->(fofType->fofType)))))))))), ((or (not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))) (not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))).
% 1.08/1.24 There are no conjectures!
% 1.08/1.24 Adding conjecture False, to look for Unsatisfiability
% 1.08/1.24 Trying to prove False
% 1.08/1.24 Found eq_ref00:=(eq_ref0 (((((((((F a) b) c) c) c) c) c) c) c)):(((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) (((((((((F a) b) c) c) c) c) c) c) c))
% 1.08/1.24 Found (eq_ref0 (((((((((F a) b) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))
% 1.08/1.24 Found ((eq_ref fofType) (((((((((F a) b) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))
% 1.08/1.24 Found ((eq_ref fofType) (((((((((F a) b) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))
% 1.08/1.24 Found ((eq_ref fofType) (((((((((F a) b) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))
% 1.08/1.24 Found (x ((eq_ref fofType) (((((((((F a) b) c) c) c) c) c) c) c))) as proof of False
% 1.08/1.24 Found (fun (x:(not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F a) b) c) c) c) c) c) c) c)))) as proof of False
% 1.08/1.24 Found (fun (x:(not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F a) b) c) c) c) c) c) c) c)))) as proof of ((not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))->False)
% 1.08/1.24 Found eq_ref00:=(eq_ref0 (((((((((F c) a) c) c) c) c) c) c) c)):(((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) (((((((((F c) a) c) c) c) c) c) c) c))
% 1.08/1.24 Found (eq_ref0 (((((((((F c) a) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))
% 1.08/1.24 Found ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))
% 1.08/1.24 Found ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))
% 1.08/1.24 Found ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))
% 1.08/1.31 Found (x ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c))) as proof of False
% 1.08/1.31 Found (fun (x:(not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c)))) as proof of False
% 1.08/1.31 Found (fun (x:(not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c)))) as proof of ((not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))->False)
% 1.08/1.31 Found eq_ref00:=(eq_ref0 (((((((((F c) a) c) c) c) c) c) c) c)):(((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) (((((((((F c) a) c) c) c) c) c) c) c))
% 1.08/1.31 Found (eq_ref0 (((((((((F c) a) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))
% 1.08/1.31 Found ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))
% 1.08/1.31 Found ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c)) as proof of (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))
% 1.08/1.31 Found (x ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c))) as proof of False
% 1.08/1.31 Found (fun (x:(not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c)))) as proof of False
% 1.08/1.31 Found (fun (x:(not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c)))) as proof of ((not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))->False)
% 1.08/1.31 Found ((or_ind00 (fun (x:(not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F a) b) c) c) c) c) c) c) c))))) (fun (x:(not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c))))) as proof of False
% 1.08/1.31 Found (((or_ind0 False) (fun (x:(not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F a) b) c) c) c) c) c) c) c))))) (fun (x:(not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c))))) as proof of False
% 1.08/1.31 Found ((((fun (P:Prop) (x:((not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))->P)) (x0:((not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))->P))=> ((((((or_ind (not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))) (not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))) P) x) x0) ax0)) False) (fun (x:(not (((eq fofType) (((((((((F a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F a) b) c) c) c) c) c) c) c))))) (fun (x:(not (((eq fofType) (((((((((F c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) (((((((((F c) a) c) c) c) c) c) c) c))))) as proof of False
% 1.08/1.31 Found ((((fun (P:Prop) (x:((not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))->P)) (x0:((not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))->P))=> ((((((or_ind (not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))) (not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))) P) x) x0) (ax (fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20))))) False) (fun (x:(not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))))=> (x ((eq_ref fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c))))) (fun (x:(not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c))))) as proof of False
% 1.08/1.31 Found ((((fun (P:Prop) (x:((not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))->P)) (x0:((not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))->P))=> ((((((or_ind (not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))) (not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))) P) x) x0) (ax (fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20))))) False) (fun (x:(not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))))=> (x ((eq_ref fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c))))) (fun (x:(not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c))))) as proof of False
% 1.08/1.31 Got proof ((((fun (P:Prop) (x:((not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))->P)) (x0:((not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))->P))=> ((((((or_ind (not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))) (not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))) P) x) x0) (ax (fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20))))) False) (fun (x:(not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))))=> (x ((eq_ref fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c))))) (fun (x:(not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)))))
% 1.08/1.32 Time elapsed = 0.650530s
% 1.08/1.32 node=45 cost=18.000000 depth=10
% 1.08/1.32 ::::::::::::::::::::::
% 1.08/1.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.32 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.32 ((((fun (P:Prop) (x:((not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))->P)) (x0:((not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))->P))=> ((((((or_ind (not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c)))) (not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c)))) P) x) x0) (ax (fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20))))) False) (fun (x:(not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c)) ((((((f b) a) c) c) c) c))))=> (x ((eq_ref fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) a) b) c) c) c) c) c) c) c))))) (fun (x:(not (((eq fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)) ((((((f a) c) c) c) c) c))))=> (x ((eq_ref fofType) ((((((((((fun (x11:fofType) (x90:fofType) (x80:fofType) (x70:fofType) (x60:fofType) (x50:fofType) (x40:fofType) (x30:fofType) (x20:fofType)=> ((((((f x90) x11) x20) x20) x20) x20)) c) a) c) c) c) c) c) c) c)))))
% 1.08/1.32 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------