%------------------------------------------------------------------------------ % 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 : %------------------------------------------------------------------------------ %----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 %------------------------------------------------------------------------------