TSTP Solution File: NUM677^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM677^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n063.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 13:11:24 EST 2018
% Result : Theorem 6.57s
% Output : Proof 6.57s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM677^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.23 % Computer : n063.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 12:18:49 CST 2018
% 0.03/0.23 % CPUTime :
% 0.07/0.25 Python 2.7.13
% 6.53/6.72 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 6.53/6.72 FOF formula (<kernel.Constant object at 0x2ad154c15fc8>, <kernel.Type object at 0x2ad154c15d88>) of role type named nat_type
% 6.53/6.72 Using role type
% 6.53/6.72 Declaring nat:Type
% 6.53/6.72 FOF formula (<kernel.Constant object at 0x2ad154c15e60>, <kernel.Constant object at 0x2ad154c15dd0>) of role type named x
% 6.53/6.72 Using role type
% 6.53/6.72 Declaring x:nat
% 6.53/6.72 FOF formula (<kernel.Constant object at 0x2ad154b91170>, <kernel.Constant object at 0x2ad154c15dd0>) of role type named y
% 6.53/6.72 Using role type
% 6.53/6.72 Declaring y:nat
% 6.53/6.72 FOF formula (<kernel.Constant object at 0x2ad154c15fc8>, <kernel.Constant object at 0x2ad154c15e60>) of role type named z
% 6.53/6.72 Using role type
% 6.53/6.72 Declaring z:nat
% 6.53/6.72 FOF formula (<kernel.Constant object at 0x2ad154c15b90>, <kernel.Constant object at 0x2ad1552af560>) of role type named u
% 6.53/6.72 Using role type
% 6.53/6.72 Declaring u:nat
% 6.53/6.72 FOF formula (((eq nat) x) y) of role axiom named i
% 6.53/6.72 A new axiom: (((eq nat) x) y)
% 6.53/6.72 FOF formula (<kernel.Constant object at 0x2ad154c15b90>, <kernel.DependentProduct object at 0x2ad1552afe18>) of role type named more
% 6.53/6.72 Using role type
% 6.53/6.72 Declaring more:(nat->(nat->Prop))
% 6.53/6.72 FOF formula ((more z) u) of role axiom named m
% 6.53/6.72 A new axiom: ((more z) u)
% 6.53/6.72 FOF formula (<kernel.Constant object at 0x2ad154c15dd0>, <kernel.DependentProduct object at 0x2ad1552af6c8>) of role type named pl
% 6.53/6.72 Using role type
% 6.53/6.72 Declaring pl:(nat->(nat->nat))
% 6.53/6.72 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), ((((eq nat) Xx) Xy)->(((more Xz) Xu)->((more ((pl Xx) Xz)) ((pl Xy) Xu))))) of role axiom named satz19g
% 6.53/6.72 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), ((((eq nat) Xx) Xy)->(((more Xz) Xu)->((more ((pl Xx) Xz)) ((pl Xy) Xu)))))
% 6.53/6.72 FOF formula (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))) of role axiom named satz6
% 6.53/6.72 A new axiom: (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx)))
% 6.53/6.72 FOF formula ((more ((pl z) x)) ((pl u) y)) of role conjecture named satz19h
% 6.53/6.72 Conjecture to prove = ((more ((pl z) x)) ((pl u) y)):Prop
% 6.53/6.72 We need to prove ['((more ((pl z) x)) ((pl u) y))']
% 6.53/6.72 Parameter nat:Type.
% 6.53/6.72 Parameter x:nat.
% 6.53/6.72 Parameter y:nat.
% 6.53/6.72 Parameter z:nat.
% 6.53/6.72 Parameter u:nat.
% 6.53/6.72 Axiom i:(((eq nat) x) y).
% 6.53/6.72 Parameter more:(nat->(nat->Prop)).
% 6.53/6.72 Axiom m:((more z) u).
% 6.53/6.72 Parameter pl:(nat->(nat->nat)).
% 6.53/6.72 Axiom satz19g:(forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), ((((eq nat) Xx) Xy)->(((more Xz) Xu)->((more ((pl Xx) Xz)) ((pl Xy) Xu))))).
% 6.53/6.72 Axiom satz6:(forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))).
% 6.53/6.72 Trying to prove ((more ((pl z) x)) ((pl u) y))
% 6.53/6.72 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 6.53/6.72 Found (eq_ref0 x) as proof of (((eq nat) x) x)
% 6.53/6.72 Found ((eq_ref nat) x) as proof of (((eq nat) x) x)
% 6.53/6.72 Found ((eq_ref nat) x) as proof of (((eq nat) x) x)
% 6.53/6.72 Found (satz19g00000 ((eq_ref nat) x)) as proof of ((more ((pl x) z)) ((pl x) u))
% 6.53/6.72 Found ((fun (x0:(((eq nat) x) x))=> ((satz19g0000 x0) m)) ((eq_ref nat) x)) as proof of ((more ((pl x) z)) ((pl x) u))
% 6.53/6.72 Found ((fun (x0:(((eq nat) x) x))=> (((satz19g000 u) x0) m)) ((eq_ref nat) x)) as proof of ((more ((pl x) z)) ((pl x) u))
% 6.53/6.72 Found ((fun (x0:(((eq nat) x) x))=> ((((satz19g00 z) u) x0) m)) ((eq_ref nat) x)) as proof of ((more ((pl x) z)) ((pl x) u))
% 6.53/6.72 Found ((fun (x0:(((eq nat) x) x))=> (((((satz19g0 x) z) u) x0) m)) ((eq_ref nat) x)) as proof of ((more ((pl x) z)) ((pl x) u))
% 6.53/6.72 Found ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x)) as proof of ((more ((pl x) z)) ((pl x) u))
% 6.53/6.72 Found ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x)) as proof of ((more ((pl x) z)) ((pl x) u))
% 6.53/6.72 Found (satz6010 ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x))) as proof of ((more ((pl x) z)) ((pl u) x))
% 6.53/6.72 Found ((satz601 (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x))) as proof of ((more ((pl x) z)) ((pl u) x))
% 6.53/6.72 Found (((satz60 u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x))) as proof of ((more ((pl x) z)) ((pl u) x))
% 6.53/6.72 Found (((satz60 u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x))) as proof of ((more ((pl x) z)) ((pl u) x))
% 6.57/6.82 Found (i0 (((satz60 u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x)))) as proof of ((more ((pl x) z)) ((pl u) y))
% 6.57/6.82 Found ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl u) x1)))) (((satz60 u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x)))) as proof of ((more ((pl x) z)) ((pl u) y))
% 6.57/6.82 Found ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl u) x1)))) (((satz60 u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x)))) as proof of ((more ((pl x) z)) ((pl u) y))
% 6.57/6.82 Found (satz6000 ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl u) x1)))) (((satz60 u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x))))) as proof of ((more ((pl z) x)) ((pl u) y))
% 6.57/6.82 Found ((satz600 (fun (x1:nat)=> ((more x1) ((pl u) y)))) ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl u) x1)))) (((satz60 u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x))))) as proof of ((more ((pl z) x)) ((pl u) y))
% 6.57/6.82 Found (((satz60 z) (fun (x1:nat)=> ((more x1) ((pl u) y)))) ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl u) x1)))) (((satz60 u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x))))) as proof of ((more ((pl z) x)) ((pl u) y))
% 6.57/6.82 Found ((((satz6 x) z) (fun (x1:nat)=> ((more x1) ((pl u) y)))) ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl u) x1)))) ((((satz6 x) u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x))))) as proof of ((more ((pl z) x)) ((pl u) y))
% 6.57/6.82 Found ((((satz6 x) z) (fun (x1:nat)=> ((more x1) ((pl u) y)))) ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl u) x1)))) ((((satz6 x) u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x))))) as proof of ((more ((pl z) x)) ((pl u) y))
% 6.57/6.82 Got proof ((((satz6 x) z) (fun (x1:nat)=> ((more x1) ((pl u) y)))) ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl u) x1)))) ((((satz6 x) u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x)))))
% 6.57/6.82 Time elapsed = 6.221582s
% 6.57/6.82 node=1458 cost=550.000000 depth=21
% 6.57/6.82::::::::::::::::::::::
% 6.57/6.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.57/6.82 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.57/6.82 ((((satz6 x) z) (fun (x1:nat)=> ((more x1) ((pl u) y)))) ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl u) x1)))) ((((satz6 x) u) (more ((pl x) z))) ((fun (x0:(((eq nat) x) x))=> ((((((satz19g x) x) z) u) x0) m)) ((eq_ref nat) x)))))
% 6.57/6.82 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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