%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM643^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n149.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 13:11:16 EST 2018 % Result : Timeout 300.07s % Output : None % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : NUM643^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n149.star.cs.uiowa.edu % 0.02/0.23 % Model : x86_64 x86_64 % 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.02/0.23 % Memory : 32218.625MB % 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.02/0.23 % CPULimit : 300 % 0.02/0.23 % DateTime : Fri Jan 5 11:23:44 CST 2018 % 0.02/0.24 % CPUTime : % 0.02/0.26 Python 2.7.13 % 0.27/0.74 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b3297485998>, <kernel.Type object at 0x2b3297485908>) of role type named nat_type % 0.27/0.74 Using role type % 0.27/0.74 Declaring nat:Type % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b329747a320>, <kernel.Constant object at 0x2b3297485bd8>) of role type named x % 0.27/0.74 Using role type % 0.27/0.74 Declaring x:nat % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b32974857a0>, <kernel.Constant object at 0x2b3297485bd8>) of role type named y % 0.27/0.74 Using role type % 0.27/0.74 Declaring y:nat % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b3297485998>, <kernel.Constant object at 0x2b3297485bd8>) of role type named z % 0.27/0.74 Using role type % 0.27/0.74 Declaring z:nat % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b3297485c20>, <kernel.DependentProduct object at 0x2b3297485638>) of role type named pl % 0.27/0.74 Using role type % 0.27/0.74 Declaring pl:(nat->(nat->nat)) % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b32974853f8>, <kernel.Type object at 0x2b3297485998>) of role type named set_type % 0.27/0.74 Using role type % 0.27/0.74 Declaring set:Type % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b3297485bd8>, <kernel.DependentProduct object at 0x2b3297485c68>) of role type named esti % 0.27/0.74 Using role type % 0.27/0.74 Declaring esti:(nat->(set->Prop)) % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b3297485908>, <kernel.DependentProduct object at 0x2b32974857a0>) of role type named setof % 0.27/0.74 Using role type % 0.27/0.74 Declaring setof:((nat->Prop)->set) % 0.27/0.74 FOF formula (forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs))) of role axiom named estie % 0.27/0.74 A new axiom: (forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs))) % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b3297485998>, <kernel.Constant object at 0x2b3297485a28>) of role type named n_1 % 0.27/0.74 Using role type % 0.27/0.74 Declaring n_1:nat % 0.27/0.74 FOF formula (<kernel.Constant object at 0x2b3297485908>, <kernel.DependentProduct object at 0x2b3297485d40>) of role type named suc % 0.27/0.74 Using role type % 0.27/0.74 Declaring suc:(nat->nat) % 0.27/0.74 FOF formula (forall (Xs:set), (((esti n_1) Xs)->((forall (Xx:nat), (((esti Xx) Xs)->((esti (suc Xx)) Xs)))->(forall (Xx:nat), ((esti Xx) Xs))))) of role axiom named ax5 % 0.27/0.74 A new axiom: (forall (Xs:set), (((esti n_1) Xs)->((forall (Xx:nat), (((esti Xx) Xs)->((esti (suc Xx)) Xs)))->(forall (Xx:nat), ((esti Xx) Xs))))) % 0.27/0.74 FOF formula (forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp)))) of role axiom named estii % 0.27/0.74 A new axiom: (forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp)))) % 0.27/0.74 FOF formula (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))) of role axiom named satz4e % 0.27/0.74 A new axiom: (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))) % 0.27/0.74 FOF formula (forall (Xx:nat) (Xy:nat), (((eq nat) (suc ((pl Xx) Xy))) ((pl Xx) (suc Xy)))) of role axiom named satz4f % 0.27/0.74 A new axiom: (forall (Xx:nat) (Xy:nat), (((eq nat) (suc ((pl Xx) Xy))) ((pl Xx) (suc Xy)))) % 0.27/0.74 FOF formula (forall (Xx:nat), (((eq nat) ((pl Xx) n_1)) (suc Xx))) of role axiom named satz4a % 0.27/0.74 A new axiom: (forall (Xx:nat), (((eq nat) ((pl Xx) n_1)) (suc Xx))) % 0.27/0.74 FOF formula (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) (suc Xy))) (suc ((pl Xx) Xy)))) of role axiom named satz4b % 0.27/0.74 A new axiom: (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) (suc Xy))) (suc ((pl Xx) Xy)))) % 0.27/0.74 FOF formula (((eq nat) ((pl ((pl x) y)) z)) ((pl x) ((pl y) z))) of role conjecture named satz5 % 0.27/0.74 Conjecture to prove = (((eq nat) ((pl ((pl x) y)) z)) ((pl x) ((pl y) z))):Prop % 0.27/0.74 Parameter set_DUMMY:set. % 0.27/0.74 We need to prove ['(((eq nat) ((pl ((pl x) y)) z)) ((pl x) ((pl y) z)))'] % 0.27/0.74 Parameter nat:Type. % 0.27/0.74 Parameter x:nat. % 0.27/0.74 Parameter y:nat. % 0.27/0.74 Parameter z:nat. % 0.27/0.74 Parameter pl:(nat->(nat->nat)). % 0.27/0.74 Parameter set:Type. % 0.27/0.74 Parameter esti:(nat->(set->Prop)). % 0.27/0.74 Parameter setof:((nat->Prop)->set). % 0.27/0.74 Axiom estie:(forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs))). % 0.27/0.74 Parameter n_1:nat. % 0.27/0.74 Parameter suc:(nat->nat). % 0.27/0.74 Axiom ax5:(forall (Xs:set), (((esti n_1) Xs)->((forall (Xx:nat), (((esti Xx) Xs)->((esti (suc Xx)) Xs)))->(forall (Xx:nat), ((esti Xx) Xs))))). % 0.27/0.74 Axiom estii:(forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp)))). % 0.27/0.74 Axiom satz4e:(forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))). % 275.45/275.92 Axiom satz4f:(forall (Xx:nat) (Xy:nat), (((eq nat) (suc ((pl Xx) Xy))) ((pl Xx) (suc Xy)))). % 275.45/275.92 Axiom satz4a:(forall (Xx:nat), (((eq nat) ((pl Xx) n_1)) (suc Xx))). % 275.45/275.92 Axiom satz4b:(forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) (suc Xy))) (suc ((pl Xx) Xy)))). % 275.45/275.92 Trying to prove (((eq nat) ((pl ((pl x) y)) z)) ((pl x) ((pl y) z))) % 275.45/275.92 Found eq_ref000:=(eq_ref00 P):((P ((pl ((pl x) y)) z))->(P ((pl ((pl x) y)) z))) % 275.45/275.92 Found (eq_ref00 P) as proof of (P0 ((pl ((pl x) y)) z)) % 275.45/275.92 Found ((eq_ref0 ((pl ((pl x) y)) z)) P) as proof of (P0 ((pl ((pl x) y)) z)) % 275.45/275.92 Found (((eq_ref nat) ((pl ((pl x) y)) z)) P) as proof of (P0 ((pl ((pl x) y)) z)) % 275.45/275.92 Found (((eq_ref nat) ((pl ((pl x) y)) z)) P) as proof of (P0 ((pl ((pl x) y)) z)) % 275.45/275.92 Found eq_ref00:=(eq_ref0 ((pl ((pl x) y)) z)):(((eq nat) ((pl ((pl x) y)) z)) ((pl ((pl x) y)) z)) % 275.45/275.92 Found (eq_ref0 ((pl ((pl x) y)) z)) as proof of (((eq nat) ((pl ((pl x) y)) z)) b) % 275.45/275.92 Found ((eq_ref nat) ((pl ((pl x) y)) z)) as proof of (((eq nat) ((pl ((pl x) y)) z)) b) % 275.45/275.92 Found ((eq_ref nat) ((pl ((pl x) y)) z)) as proof of (((eq nat) ((pl ((pl x) y)) z)) b) % 275.45/275.92 Found ((eq_ref nat) ((pl ((pl x) y)) z)) as proof of (((eq nat) ((pl ((pl x) y)) z)) b) % 275.45/275.92 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b) % 275.45/275.92 Found (eq_ref0 b) as proof of (((eq nat) b) ((pl x) ((pl y) z))) % 275.45/275.92 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl x) ((pl y) z))) % 275.45/275.92 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl x) ((pl y) z))) % 275.45/275.92 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl x) ((pl y) z))) % 275.45/275.92 Found eq_ref00:=(eq_ref0 ((pl x) ((pl y) z))):(((eq nat) ((pl x) ((pl y) z))) ((pl x) ((pl y) z))) % 275.45/275.92 Found (eq_ref0 ((pl x) ((pl y) z))) as proof of (((eq nat) ((pl x) ((pl y) z))) b) % 275.45/275.92 Found ((eq_ref nat) ((pl x) ((pl y) z))) as proof of (((eq nat) ((pl x) ((pl y) z))) b) % 275.45/275.92 Found ((eq_ref nat) ((pl x) ((pl y) z))) as proof of (((eq nat) ((pl x) ((pl y) z))) b) % 275.45/275.92 Found ((eq_ref nat) ((pl x) ((pl y) z))) as proof of (((eq nat) ((pl x) ((pl y) z))) b) % 275.45/275.92 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b) % 275.45/275.92 Found (eq_ref0 b) as proof of (((eq nat) b) ((pl ((pl x) y)) z)) % 275.45/275.92 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl ((pl x) y)) z)) % 275.45/275.92 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl ((pl x) y)) z)) % 275.45/275.92 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl ((pl x) y)) z)) % 275.45/275.92 Found x0:(P ((pl ((pl x) y)) z)) % 275.45/275.92 Instantiate: b:=((pl ((pl x) y)) z):nat % 275.45/275.92 Found x0 as proof of (P0 b) % 275.45/275.92 Found eq_ref00:=(eq_ref0 ((pl x) ((pl y) z))):(((eq nat) ((pl x) ((pl y) z))) ((pl x) ((pl y) z))) % 275.45/275.92 Found (eq_ref0 ((pl x) ((pl y) z))) as proof of (((eq nat) ((pl x) ((pl y) z))) b) % 275.45/275.92 Found ((eq_ref nat) ((pl x) ((pl y) z))) as proof of (((eq nat) ((pl x) ((pl y) z))) b) % 275.45/275.92 Found ((eq_ref nat) ((pl x) ((pl y) z))) as proof of (((eq nat) ((pl x) ((pl y) z))) b) % 275.45/275.92 Found ((eq_ref nat) ((pl x) ((pl y) z))) as proof of (((eq nat) ((pl x) ((pl y) z))) b) % 275.45/275.92 Found satz4a0:=(satz4a ((pl x) y)):(((eq nat) ((pl ((pl x) y)) n_1)) (suc ((pl x) y))) % 275.45/275.92 Found (satz4a ((pl x) y)) as proof of (((eq nat) ((pl ((pl x) y)) n_1)) (suc ((pl x) y))) % 275.45/275.92 Found (satz4a ((pl x) y)) as proof of (((eq nat) ((pl ((pl x) y)) n_1)) (suc ((pl x) y))) % 275.45/275.92 Found (satz4f000 (satz4a ((pl x) y))) as proof of (((eq nat) ((pl ((pl x) y)) n_1)) ((pl x) (suc y))) % 275.45/275.92 Found ((satz4f00 ((eq nat) ((pl ((pl x) y)) n_1))) (satz4a ((pl x) y))) as proof of (((eq nat) ((pl ((pl x) y)) n_1)) ((pl x) (suc y))) % 275.45/275.92 Found (((satz4f0 y) ((eq nat) ((pl ((pl x) y)) n_1))) (satz4a ((pl x) y))) as proof of (((eq nat) ((pl ((pl x) y)) n_1)) ((pl x) (suc y))) % 275.45/275.92 Found ((((satz4f x) y) ((eq nat) ((pl ((pl x) y)) n_1))) (satz4a ((pl x) y))) as proof of (((eq nat) ((pl ((pl x) y)) n_1)) ((pl x) (suc y))) % 275.45/275.92 Found ((((satz4f x) y) ((eq nat) ((pl ((pl x) y)) n_1))) (satz4a ((pl x) y))) as proof of (((eq nat) ((pl ((pl x) y)) n_1)) ((pl x) (suc y))) % 275.45/275.92 Found (satz4e00 ((((satz4f x) y) ((eq nat) ((pl ((pl x) y)) n_1))) (satz4a ((pl x) y)))) as proof of (((eq nat) ((pl ((pl x) y)) n_1)) ((pl x) ((pl y) n_1))) % 275.45/275.92 Found ((satz4e0 (fun (x1:nat)=> (((eq nat) ((pl ((pl x) y)) n_1)) ((pl x) x1)))) ((((satz4f x) y) ((eq nat) ((pl ((pl x) y)) n_1))) (satz4a ((pl x) y)))) as proof of (((eq nat) ((pl ((pl x) y)) n_1)) ((pl %------------------------------------------------------------------------------