%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM686^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n163.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 13:11:26 EST 2018 % Result : Timeout 300.01s % Output : None % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM686^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n163.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 12:45:03 CST 2018 % 0.02/0.23 % CPUTime : % 0.02/0.25 Python 2.7.13 % 2.34/2.54 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4ef299a28>, <kernel.Type object at 0x2ba4eeea7dd0>) of role type named nat_type % 2.34/2.54 Using role type % 2.34/2.54 Declaring nat:Type % 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4eeebe050>, <kernel.Constant object at 0x2ba4eeea7a28>) of role type named x % 2.34/2.54 Using role type % 2.34/2.54 Declaring x:nat % 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4ef299a28>, <kernel.Constant object at 0x2ba4eeea7a28>) of role type named y % 2.34/2.54 Using role type % 2.34/2.54 Declaring y:nat % 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4ef299a28>, <kernel.Constant object at 0x2ba4eeea7a28>) of role type named z % 2.34/2.54 Using role type % 2.34/2.54 Declaring z:nat % 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4eeea7f38>, <kernel.Constant object at 0x2ba4eeea7a28>) of role type named u % 2.34/2.54 Using role type % 2.34/2.54 Declaring u:nat % 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4eeea7fc8>, <kernel.DependentProduct object at 0x2ba4eeeca878>) of role type named some % 2.34/2.55 Using role type % 2.34/2.55 Declaring some:((nat->Prop)->Prop) % 2.34/2.55 FOF formula (<kernel.Constant object at 0x2ba4eeea7a28>, <kernel.DependentProduct object at 0x2ba4eeeca488>) of role type named diffprop % 2.34/2.55 Using role type % 2.34/2.55 Declaring diffprop:(nat->(nat->(nat->Prop))) % 2.34/2.55 FOF formula (some (fun (Xu:nat)=> (((diffprop x) y) Xu))) of role axiom named m % 2.34/2.55 A new axiom: (some (fun (Xu:nat)=> (((diffprop x) y) Xu))) % 2.34/2.55 FOF formula (some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0))) of role axiom named n % 2.34/2.55 A new axiom: (some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0))) % 2.34/2.55 FOF formula (<kernel.Constant object at 0x2ba4eeecab00>, <kernel.DependentProduct object at 0x2ba4eeea7a70>) of role type named pl % 2.34/2.55 Using role type % 2.34/2.55 Declaring pl:(nat->(nat->nat)) % 2.34/2.55 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xv:nat)=> (((diffprop Xy) Xx) Xv)))->((some (fun (Xv:nat)=> (((diffprop Xz) Xy) Xv)))->(some (fun (Xv:nat)=> (((diffprop Xz) Xx) Xv)))))) of role axiom named satz15 % 2.34/2.55 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xv:nat)=> (((diffprop Xy) Xx) Xv)))->((some (fun (Xv:nat)=> (((diffprop Xz) Xy) Xv)))->(some (fun (Xv:nat)=> (((diffprop Xz) Xx) Xv)))))) % 2.34/2.55 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xu:nat)=> (((diffprop Xx) Xy) Xu)))->(some (fun (Xu:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xz)) Xu))))) of role axiom named satz19a % 2.34/2.55 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xu:nat)=> (((diffprop Xx) Xy) Xu)))->(some (fun (Xu:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xz)) Xu))))) % 2.34/2.55 FOF formula (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))) of role axiom named satz6 % 2.34/2.55 A new axiom: (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))) % 2.34/2.55 FOF formula (some (fun (Xu_0:nat)=> (((diffprop ((pl x) z)) ((pl y) u)) Xu_0))) of role conjecture named satz21 % 2.34/2.55 Conjecture to prove = (some (fun (Xu_0:nat)=> (((diffprop ((pl x) z)) ((pl y) u)) Xu_0))):Prop % 2.34/2.55 We need to prove ['(some (fun (Xu_0:nat)=> (((diffprop ((pl x) z)) ((pl y) u)) Xu_0)))'] % 2.34/2.55 Parameter nat:Type. % 2.34/2.55 Parameter x:nat. % 2.34/2.55 Parameter y:nat. % 2.34/2.55 Parameter z:nat. % 2.34/2.55 Parameter u:nat. % 2.34/2.55 Parameter some:((nat->Prop)->Prop). % 2.34/2.55 Parameter diffprop:(nat->(nat->(nat->Prop))). % 2.34/2.55 Axiom m:(some (fun (Xu:nat)=> (((diffprop x) y) Xu))). % 2.34/2.55 Axiom n:(some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0))). % 2.34/2.55 Parameter pl:(nat->(nat->nat)). % 2.34/2.55 Axiom satz15:(forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xv:nat)=> (((diffprop Xy) Xx) Xv)))->((some (fun (Xv:nat)=> (((diffprop Xz) Xy) Xv)))->(some (fun (Xv:nat)=> (((diffprop Xz) Xx) Xv)))))). % 2.34/2.55 Axiom satz19a:(forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xu:nat)=> (((diffprop Xx) Xy) Xu)))->(some (fun (Xu:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xz)) Xu))))). % 2.34/2.55 Axiom satz6:(forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))). % 2.34/2.55 Trying to prove (some (fun (Xu_0:nat)=> (((diffprop ((pl x) z)) ((pl y) u)) Xu_0))) % 2.34/2.55 Found m:(some (fun (Xu:nat)=> (((diffprop x) y) Xu))) % 2.34/2.55 Instantiate: b:=(fun (Xu:nat)=> (((diffprop x) y) Xu)):(nat->Prop) % 2.34/2.55 Found m as proof of (P b) % 2.34/2.55 Found eq_ref00:=(eq_ref0 (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))):(((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) % 5.02/5.27 Found (eq_ref0 (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b) % 5.02/5.27 Found ((eq_ref (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b) % 5.02/5.27 Found ((eq_ref (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b) % 5.02/5.27 Found ((eq_ref (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b) % 5.02/5.27 Found n:(some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0))) % 5.02/5.27 Instantiate: f:=(fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)):(nat->Prop) % 5.02/5.27 Found n as proof of (P f) % 5.02/5.27 Found eq_ref00:=(eq_ref0 (f x0)):(((eq Prop) (f x0)) (f x0)) % 5.02/5.27 Found (eq_ref0 (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)) % 5.02/5.27 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)) % 5.02/5.27 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)) % 5.02/5.27 Found (fun (x0:nat)=> ((eq_ref Prop) (f x0))) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)) % 5.02/5.27 Found (fun (x0:nat)=> ((eq_ref Prop) (f x0))) as proof of (forall (x0:nat), (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))) % 5.02/5.27 Found n:(some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0))) % 5.02/5.27 Instantiate: f:=(fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)):(nat->Prop) % 5.02/5.27 Found n as proof of (P f) % 5.02/5.27 Found eq_ref00:=(eq_ref0 (f x0)):(((eq Prop) (f x0)) (f x0)) % 5.02/5.27 Found (eq_ref0 (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)) % 5.02/5.27 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)) % 5.02/5.27 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)) % 5.02/5.27 Found (fun (x0:nat)=> ((eq_ref Prop) (f x0))) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)) % 5.02/5.27 Found (fun (x0:nat)=> ((eq_ref Prop) (f x0))) as proof of (forall (x0:nat), (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))) % 5.02/5.27 Found m:(some (fun (Xu:nat)=> (((diffprop x) y) Xu))) % 5.02/5.27 Instantiate: b:=(fun (Xu:nat)=> (((diffprop x) y) Xu)):(nat->Prop) % 5.02/5.27 Found m as proof of (P b) % 5.02/5.27 Found eta_expansion_dep000:=(eta_expansion_dep00 (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))):(((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) (fun (x0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) x0))) % 5.02/5.27 Found (eta_expansion_dep00 (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b) % 5.02/5.27 Found ((eta_expansion_dep0 (fun (x1:nat)=> Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b) % 5.02/5.27 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b) % 5.02/5.27 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b) % 5.02/5.27 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b) % 5.02/5.27 Found n:(some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0))) % 5.02/5.27 Instantiate: f:=(fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)):(nat->Prop) % 5.02/5.27 Found n as proof of (P f) % 5.02/5.27 Found eq_ref00:=(eq_ref0 (f x0)):(((eq Prop) (f x0)) (f x0)) % 5.02/5.27 Found (eq_ref0 (f %------------------------------------------------------------------------------