%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM656^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n031.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 13:11:19 EST 2018 % Result : Theorem 4.97s % Output : Proof 4.97s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : NUM656^1 : 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 : n031.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 11:42:14 CST 2018 % 0.02/0.23 % CPUTime : % 0.02/0.28 Python 2.7.13 % 3.60/4.00 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 3.60/4.00 FOF formula (<kernel.Constant object at 0x2ac31f71dab8>, <kernel.Type object at 0x2ac3201934d0>) of role type named nat_type % 3.60/4.00 Using role type % 3.60/4.00 Declaring nat:Type % 3.60/4.00 FOF formula (<kernel.Constant object at 0x2ac31f71d878>, <kernel.Constant object at 0x2ac31f71db00>) of role type named x % 3.60/4.00 Using role type % 3.60/4.00 Declaring x:nat % 3.60/4.00 FOF formula (<kernel.Constant object at 0x2ac31f71db90>, <kernel.Constant object at 0x2ac3201935a8>) of role type named y % 3.60/4.00 Using role type % 3.60/4.00 Declaring y:nat % 3.60/4.00 FOF formula (<kernel.Constant object at 0x2ac31f71db00>, <kernel.DependentProduct object at 0x2ac3201936c8>) of role type named more % 3.60/4.00 Using role type % 3.60/4.00 Declaring more:(nat->(nat->Prop)) % 3.60/4.00 FOF formula ((more x) y) of role axiom named m % 3.60/4.00 A new axiom: ((more x) y) % 3.60/4.00 FOF formula (<kernel.Constant object at 0x2ac31f71dab8>, <kernel.DependentProduct object at 0x2ac320193b48>) of role type named less % 3.60/4.00 Using role type % 3.60/4.00 Declaring less:(nat->(nat->Prop)) % 3.60/4.00 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et % 3.60/4.00 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa)) % 3.60/4.00 FOF formula (forall (Xx:nat) (Xy:nat), ((((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))->((((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False)->False))->False)) of role axiom named satz10b % 3.60/4.00 A new axiom: (forall (Xx:nat) (Xy:nat), ((((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))->((((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False)->False))->False)) % 3.60/4.00 FOF formula (((((less x) y)->False)->(((eq nat) x) y))->False) of role conjecture named satz10g % 3.60/4.00 Conjecture to prove = (((((less x) y)->False)->(((eq nat) x) y))->False):Prop % 3.60/4.00 We need to prove ['(((((less x) y)->False)->(((eq nat) x) y))->False)'] % 3.60/4.00 Parameter nat:Type. % 3.60/4.00 Parameter x:nat. % 3.60/4.00 Parameter y:nat. % 3.60/4.00 Parameter more:(nat->(nat->Prop)). % 3.60/4.00 Axiom m:((more x) y). % 3.60/4.00 Parameter less:(nat->(nat->Prop)). % 3.60/4.00 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)). % 3.60/4.00 Axiom satz10b:(forall (Xx:nat) (Xy:nat), ((((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))->((((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False)->False))->False)). % 3.60/4.00 Trying to prove (((((less x) y)->False)->(((eq nat) x) y))->False) % 3.60/4.00 Found m:((more x) y) % 3.60/4.00 Instantiate: Xx:=x:nat;Xy:=y:nat % 3.60/4.00 Found m as proof of ((more Xx) Xy) % 3.60/4.00 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 3.60/4.00 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found m:((more x) y) % 3.60/4.00 Instantiate: Xx:=x:nat;Xy:=y:nat % 3.60/4.00 Found m as proof of ((more Xx) Xy) % 3.60/4.00 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 3.60/4.00 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found m:((more x) y) % 3.60/4.00 Instantiate: Xx:=x:nat;Xy:=y:nat % 3.60/4.00 Found m as proof of ((more Xx) Xy) % 3.60/4.00 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 3.60/4.00 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found m:((more x) y) % 3.60/4.00 Instantiate: Xx:=x:nat;Xy:=y:nat % 3.60/4.00 Found m as proof of ((more Xx) Xy) % 3.60/4.00 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 3.60/4.00 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found m:((more x) y) % 3.60/4.00 Instantiate: Xx:=x:nat;Xy:=y:nat % 3.60/4.00 Found m as proof of ((more Xx) Xy) % 3.60/4.00 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 3.60/4.00 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 3.60/4.00 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 4.97/5.38 Found m:((more x) y) % 4.97/5.38 Instantiate: Xx:=x:nat;Xy:=y:nat % 4.97/5.38 Found m as proof of ((more Xx) Xy) % 4.97/5.38 Found m:((more x) y) % 4.97/5.38 Instantiate: Xx:=x:nat;Xy:=y:nat % 4.97/5.38 Found m as proof of ((more Xx) Xy) % 4.97/5.38 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 4.97/5.38 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 4.97/5.38 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 4.97/5.38 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 4.97/5.38 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 4.97/5.38 Found x30:=(x3 m):(((less Xx) Xy)->False) % 4.97/5.38 Found (x3 m) as proof of (((less x) y)->False) % 4.97/5.38 Found (x3 m) as proof of (((less x) y)->False) % 4.97/5.38 Found (x0 (x3 m)) as proof of (((eq nat) Xx) Xy) % 4.97/5.38 Found (x0 (x3 m)) as proof of (((eq nat) Xx) Xy) % 4.97/5.38 Found ((x1 (x0 (x3 m))) m) as proof of False % 4.97/5.38 Found (fun (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (x0 (x3 m))) m)) as proof of False % 4.97/5.38 Found (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (x0 (x3 m))) m)) as proof of ((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False) % 4.97/5.38 Found (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (x0 (x3 m))) m)) as proof of ((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False)) % 4.97/5.38 Found (x2 (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (x0 (x3 m))) m))) as proof of False % 4.97/5.38 Found (fun (x2:(((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False))=> (x2 (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (x0 (x3 m))) m)))) as proof of False % 4.97/5.38 Found (fun (x1:((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))) (x2:(((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False))=> (x2 (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (x0 (x3 m))) m)))) as proof of ((((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False)->False) % 4.97/5.38 Found (fun (x1:((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))) (x2:(((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False))=> (x2 (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (x0 (x3 m))) m)))) as proof of (((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))->((((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False)->False)) % 4.97/5.38 Found (satz10b00 (fun (x1:((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))) (x2:(((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False))=> (x2 (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (x0 (x3 m))) m))))) as proof of False % 4.97/5.38 Found ((satz10b0 y) (fun (x1:((((eq nat) Xx) y)->(((more Xx) y)->False))) (x2:(((((more Xx) y)->(((less Xx) y)->False))->((((less Xx) y)->(not (((eq nat) Xx) y)))->False))->False))=> (x2 (fun (x3:(((more Xx) y)->(((less Xx) y)->False))) (x4:(((less Xx) y)->(not (((eq nat) Xx) y))))=> ((x1 (x0 (x3 m))) m))))) as proof of False % 4.97/5.38 Found (((satz10b x) y) (fun (x1:((((eq nat) x) y)->(((more x) y)->False))) (x2:(((((more x) y)->(((less x) y)->False))->((((less x) y)->(not (((eq nat) x) y)))->False))->False))=> (x2 (fun (x3:(((more x) y)->(((less x) y)->False))) (x4:(((less x) y)->(not (((eq nat) x) y))))=> ((x1 (x0 (x3 m))) m))))) as proof of False % 4.97/5.38 Found (fun (x0:((((less x) y)->False)->(((eq nat) x) y)))=> (((satz10b x) y) (fun (x1:((((eq nat) x) y)->(((more x) y)->False))) (x2:(((((more x) y)->(((less x) y)->False))->((((less x) y)->(not (((eq nat) x) y)))->False))->False))=> (x2 (fun (x3:(((more x) y)->(((less x) y)->False))) (x4:(((less x) y)->(not (((eq nat) x) y))))=> ((x1 (x0 (x3 m))) m)))))) as proof of False % 4.97/5.38 Found (fun (x0:((((less x) y)->False)->(((eq nat) x) y)))=> (((satz10b x) y) (fun (x1:((((eq nat) x) y)->(((more x) y)->False))) (x2:(((((more x) y)->(((less x) y)->False))->((((less x) y)->(not (((eq nat) x) y)))->False))->False))=> (x2 (fun (x3:(((more x) y)->(((less x) y)->False))) (x4:(((less x) y)->(not (((eq nat) x) y))))=> ((x1 (x0 (x3 m))) m)))))) as proof of (((((less x) y)->False)->(((eq nat) x) y))->False) % 4.97/5.42 Got proof (fun (x0:((((less x) y)->False)->(((eq nat) x) y)))=> (((satz10b x) y) (fun (x1:((((eq nat) x) y)->(((more x) y)->False))) (x2:(((((more x) y)->(((less x) y)->False))->((((less x) y)->(not (((eq nat) x) y)))->False))->False))=> (x2 (fun (x3:(((more x) y)->(((less x) y)->False))) (x4:(((less x) y)->(not (((eq nat) x) y))))=> ((x1 (x0 (x3 m))) m)))))) % 4.97/5.42 Time elapsed = 4.653621s % 4.97/5.42 node=670 cost=934.000000 depth=16 % 4.97/5.42:::::::::::::::::::::: % 4.97/5.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.97/5.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.97/5.42 (fun (x0:((((less x) y)->False)->(((eq nat) x) y)))=> (((satz10b x) y) (fun (x1:((((eq nat) x) y)->(((more x) y)->False))) (x2:(((((more x) y)->(((less x) y)->False))->((((less x) y)->(not (((eq nat) x) y)))->False))->False))=> (x2 (fun (x3:(((more x) y)->(((less x) y)->False))) (x4:(((less x) y)->(not (((eq nat) x) y))))=> ((x1 (x0 (x3 m))) m)))))) % 4.97/5.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------