TSTP Solution File: NUM738^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM738^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n160.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 13:11:35 EST 2018
% Result : Theorem 0.43s
% Output : Proof 0.43s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM738^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.05 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.24 % Computer : n160.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 13:20:19 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.26 Python 2.7.13
% 0.43/0.64 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6c68>, <kernel.Type object at 0x2b061e7a6638>) of role type named frac_type
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring frac:Type
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6b48>, <kernel.Constant object at 0x2b061e7a6cf8>) of role type named x
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring x:frac
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e44d830>, <kernel.Constant object at 0x2b061e7a6cf8>) of role type named y
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring y:frac
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6c68>, <kernel.Constant object at 0x2b061e7a6b48>) of role type named z
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring z:frac
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6ea8>, <kernel.Constant object at 0x2b061eec38c0>) of role type named u
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring u:frac
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6b48>, <kernel.DependentProduct object at 0x2b061eec37a0>) of role type named lessf
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring lessf:(frac->(frac->Prop))
% 0.43/0.64 FOF formula ((lessf x) y) of role axiom named l
% 0.43/0.64 A new axiom: ((lessf x) y)
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6cf8>, <kernel.DependentProduct object at 0x2b061eec3050>) of role type named eq
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring _TPTP_eq:(frac->(frac->Prop))
% 0.43/0.64 FOF formula ((_TPTP_eq x) z) of role axiom named e
% 0.43/0.64 A new axiom: ((_TPTP_eq x) z)
% 0.43/0.64 FOF formula ((_TPTP_eq y) u) of role axiom named f
% 0.43/0.64 A new axiom: ((_TPTP_eq y) u)
% 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061eec3560>, <kernel.DependentProduct object at 0x2b061eec5680>) of role type named moref
% 0.43/0.64 Using role type
% 0.43/0.64 Declaring moref:(frac->(frac->Prop))
% 0.43/0.64 FOF formula (forall (Xx:frac) (Xy:frac), (((moref Xx) Xy)->((lessf Xy) Xx))) of role axiom named satz42
% 0.43/0.64 A new axiom: (forall (Xx:frac) (Xy:frac), (((moref Xx) Xy)->((lessf Xy) Xx)))
% 0.43/0.64 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac) (Xu:frac), (((moref Xx) Xy)->(((_TPTP_eq Xx) Xz)->(((_TPTP_eq Xy) Xu)->((moref Xz) Xu))))) of role axiom named satz44
% 0.43/0.64 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac) (Xu:frac), (((moref Xx) Xy)->(((_TPTP_eq Xx) Xz)->(((_TPTP_eq Xy) Xu)->((moref Xz) Xu)))))
% 0.43/0.64 FOF formula (forall (Xx:frac) (Xy:frac), (((lessf Xx) Xy)->((moref Xy) Xx))) of role axiom named satz43
% 0.43/0.64 A new axiom: (forall (Xx:frac) (Xy:frac), (((lessf Xx) Xy)->((moref Xy) Xx)))
% 0.43/0.64 FOF formula ((lessf z) u) of role conjecture named satz45
% 0.43/0.64 Conjecture to prove = ((lessf z) u):Prop
% 0.43/0.64 We need to prove ['((lessf z) u)']
% 0.43/0.64 Parameter frac:Type.
% 0.43/0.64 Parameter x:frac.
% 0.43/0.64 Parameter y:frac.
% 0.43/0.64 Parameter z:frac.
% 0.43/0.64 Parameter u:frac.
% 0.43/0.64 Parameter lessf:(frac->(frac->Prop)).
% 0.43/0.64 Axiom l:((lessf x) y).
% 0.43/0.64 Parameter _TPTP_eq:(frac->(frac->Prop)).
% 0.43/0.64 Axiom e:((_TPTP_eq x) z).
% 0.43/0.64 Axiom f:((_TPTP_eq y) u).
% 0.43/0.64 Parameter moref:(frac->(frac->Prop)).
% 0.43/0.64 Axiom satz42:(forall (Xx:frac) (Xy:frac), (((moref Xx) Xy)->((lessf Xy) Xx))).
% 0.43/0.64 Axiom satz44:(forall (Xx:frac) (Xy:frac) (Xz:frac) (Xu:frac), (((moref Xx) Xy)->(((_TPTP_eq Xx) Xz)->(((_TPTP_eq Xy) Xu)->((moref Xz) Xu))))).
% 0.43/0.64 Axiom satz43:(forall (Xx:frac) (Xy:frac), (((lessf Xx) Xy)->((moref Xy) Xx))).
% 0.43/0.64 Trying to prove ((lessf z) u)
% 0.43/0.64 Found f:((_TPTP_eq y) u)
% 0.43/0.64 Found f as proof of ((_TPTP_eq y) u)
% 0.43/0.64 Found satz43000:=(satz4300 l):((moref y) x)
% 0.43/0.64 Found (satz4300 l) as proof of ((moref y) x)
% 0.43/0.64 Found ((satz430 y) l) as proof of ((moref y) x)
% 0.43/0.64 Found (((satz43 x) y) l) as proof of ((moref y) x)
% 0.43/0.64 Found (((satz43 x) y) l) as proof of ((moref y) x)
% 0.43/0.64 Found ((satz4400000 (((satz43 x) y) l)) f) as proof of ((moref u) z)
% 0.43/0.64 Found (((satz440000 y) (((satz43 x) y) l)) f) as proof of ((moref u) z)
% 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> ((((satz44000 Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z)
% 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> ((satz4400 Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z)
% 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> (((satz440 Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z)
% 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z)
% 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z)
% 0.43/0.64 Found (satz4200 ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) as proof of ((lessf z) u)
% 0.43/0.64 Found ((satz420 z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) as proof of ((lessf z) u)
% 0.43/0.64 Found (((satz42 u) z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) as proof of ((lessf z) u)
% 0.43/0.64 Found (((satz42 u) z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) as proof of ((lessf z) u)
% 0.43/0.64 Got proof (((satz42 u) z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f))
% 0.43/0.64 Time elapsed = 0.091386s
% 0.43/0.64 node=25 cost=783.000000 depth=14
% 0.43/0.64::::::::::::::::::::::
% 0.43/0.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.64 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.64 (((satz42 u) z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f))
% 0.43/0.64 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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