TSTP Solution File: NUM703^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM703^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n126.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 13:11:30 EST 2018
% Result : Theorem 0.32s
% Output : Proof 0.32s
% 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 : NUM703^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.23 % Computer : n126.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 13:11:50 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.26 Python 2.7.13
% 0.32/0.78 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.32/0.78 FOF formula (<kernel.Constant object at 0x2acb30e13a28>, <kernel.Type object at 0x2acb30e139e0>) of role type named nat_type
% 0.32/0.78 Using role type
% 0.32/0.78 Declaring nat:Type
% 0.32/0.78 FOF formula (<kernel.Constant object at 0x2acb30e13ea8>, <kernel.Constant object at 0x2acb30e13248>) of role type named x
% 0.32/0.78 Using role type
% 0.32/0.78 Declaring x:nat
% 0.32/0.78 FOF formula (<kernel.Constant object at 0x2acb295727a0>, <kernel.Constant object at 0x2acb30e13248>) of role type named y
% 0.32/0.78 Using role type
% 0.32/0.78 Declaring y:nat
% 0.32/0.78 FOF formula (<kernel.Constant object at 0x2acb30e13a28>, <kernel.DependentProduct object at 0x2acb30e0f098>) of role type named more
% 0.32/0.78 Using role type
% 0.32/0.78 Declaring more:(nat->(nat->Prop))
% 0.32/0.78 FOF formula (<kernel.Constant object at 0x2acb30e13ea8>, <kernel.DependentProduct object at 0x2acb30e0f518>) of role type named suc
% 0.32/0.78 Using role type
% 0.32/0.78 Declaring suc:(nat->nat)
% 0.32/0.78 FOF formula ((more (suc y)) x) of role axiom named m
% 0.32/0.78 A new axiom: ((more (suc y)) x)
% 0.32/0.78 FOF formula (<kernel.Constant object at 0x2acb30e13248>, <kernel.DependentProduct object at 0x2acb30e0f518>) of role type named moreis
% 0.32/0.78 Using role type
% 0.32/0.78 Declaring moreis:(nat->(nat->Prop))
% 0.32/0.78 FOF formula (<kernel.Constant object at 0x2acb30e13a28>, <kernel.DependentProduct object at 0x2acb30e0f098>) of role type named pl
% 0.32/0.78 Using role type
% 0.32/0.78 Declaring pl:(nat->(nat->nat))
% 0.32/0.78 FOF formula (<kernel.Constant object at 0x2acb30e13a28>, <kernel.Constant object at 0x2acb30e0f098>) of role type named n_1
% 0.32/0.78 Using role type
% 0.32/0.78 Declaring n_1:nat
% 0.32/0.78 FOF formula (forall (Xx:nat) (Xy:nat), (((more ((pl Xy) n_1)) Xx)->((moreis Xy) Xx))) of role axiom named satz26b
% 0.32/0.78 A new axiom: (forall (Xx:nat) (Xy:nat), (((more ((pl Xy) n_1)) Xx)->((moreis Xy) Xx)))
% 0.32/0.78 FOF formula (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))) of role axiom named satz4e
% 0.32/0.78 A new axiom: (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1)))
% 0.32/0.78 FOF formula ((moreis y) x) of role conjecture named satz26c
% 0.32/0.78 Conjecture to prove = ((moreis y) x):Prop
% 0.32/0.78 We need to prove ['((moreis y) x)']
% 0.32/0.78 Parameter nat:Type.
% 0.32/0.78 Parameter x:nat.
% 0.32/0.78 Parameter y:nat.
% 0.32/0.78 Parameter more:(nat->(nat->Prop)).
% 0.32/0.78 Parameter suc:(nat->nat).
% 0.32/0.78 Axiom m:((more (suc y)) x).
% 0.32/0.78 Parameter moreis:(nat->(nat->Prop)).
% 0.32/0.78 Parameter pl:(nat->(nat->nat)).
% 0.32/0.78 Parameter n_1:nat.
% 0.32/0.78 Axiom satz26b:(forall (Xx:nat) (Xy:nat), (((more ((pl Xy) n_1)) Xx)->((moreis Xy) Xx))).
% 0.32/0.78 Axiom satz4e:(forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))).
% 0.32/0.78 Trying to prove ((moreis y) x)
% 0.32/0.78 Found m:((more (suc y)) x)
% 0.32/0.78 Found m as proof of ((more (suc y)) x)
% 0.32/0.78 Found (satz4e00 m) as proof of ((more ((pl y) n_1)) x)
% 0.32/0.78 Found ((satz4e0 (fun (x1:nat)=> ((more x1) x))) m) as proof of ((more ((pl y) n_1)) x)
% 0.32/0.78 Found (((satz4e y) (fun (x1:nat)=> ((more x1) x))) m) as proof of ((more ((pl y) n_1)) x)
% 0.32/0.78 Found (((satz4e y) (fun (x1:nat)=> ((more x1) x))) m) as proof of ((more ((pl y) n_1)) x)
% 0.32/0.78 Found (satz26b00 (((satz4e y) (fun (x1:nat)=> ((more x1) x))) m)) as proof of ((moreis y) x)
% 0.32/0.78 Found ((satz26b0 y) (((satz4e y) (fun (x1:nat)=> ((more x1) x))) m)) as proof of ((moreis y) x)
% 0.32/0.78 Found (((satz26b x) y) (((satz4e y) (fun (x1:nat)=> ((more x1) x))) m)) as proof of ((moreis y) x)
% 0.32/0.78 Found (((satz26b x) y) (((satz4e y) (fun (x1:nat)=> ((more x1) x))) m)) as proof of ((moreis y) x)
% 0.32/0.78 Got proof (((satz26b x) y) (((satz4e y) (fun (x1:nat)=> ((more x1) x))) m))
% 0.32/0.78 Time elapsed = 0.044568s
% 0.32/0.78 node=13 cost=107.000000 depth=8
% 0.32/0.78::::::::::::::::::::::
% 0.32/0.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.78 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.78 (((satz26b x) y) (((satz4e y) (fun (x1:nat)=> ((more x1) x))) m))
% 0.32/0.78 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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