%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM653^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n060.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 13:11:18 EST 2018 % Result : Theorem 7.21s % Output : Proof 7.21s % 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 : NUM653^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.03/0.23 % Computer : n060.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 11:38:00 CST 2018 % 0.03/0.23 % CPUTime : % 0.03/0.26 Python 2.7.13 % 5.54/5.97 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 5.54/5.97 FOF formula (<kernel.Constant object at 0x2b0501a62710>, <kernel.Type object at 0x2b0501a627a0>) of role type named nat_type % 5.54/5.97 Using role type % 5.54/5.97 Declaring nat:Type % 5.54/5.97 FOF formula (<kernel.Constant object at 0x2b0501a625f0>, <kernel.Constant object at 0x2b0501a620e0>) of role type named x % 5.54/5.97 Using role type % 5.54/5.97 Declaring x:nat % 5.54/5.97 FOF formula (<kernel.Constant object at 0x2b0501b3eb48>, <kernel.Constant object at 0x2b0501a62710>) of role type named y % 5.54/5.97 Using role type % 5.54/5.97 Declaring y:nat % 5.54/5.97 FOF formula (<kernel.Constant object at 0x2b0501a625f0>, <kernel.DependentProduct object at 0x2b0501a5b710>) of role type named less % 5.54/5.97 Using role type % 5.54/5.97 Declaring less:(nat->(nat->Prop)) % 5.54/5.97 FOF formula ((((less x) y)->False)->(((eq nat) x) y)) of role axiom named l % 5.54/5.97 A new axiom: ((((less x) y)->False)->(((eq nat) x) y)) % 5.54/5.97 FOF formula (<kernel.Constant object at 0x2b0501a620e0>, <kernel.DependentProduct object at 0x2b0501a5b488>) of role type named more % 5.54/5.97 Using role type % 5.54/5.97 Declaring more:(nat->(nat->Prop)) % 5.54/5.97 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et % 5.54/5.97 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa)) % 5.54/5.97 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 % 5.54/5.97 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)) % 5.54/5.97 FOF formula (((more x) y)->False) of role conjecture named satz10d % 5.54/5.97 Conjecture to prove = (((more x) y)->False):Prop % 5.54/5.97 We need to prove ['(((more x) y)->False)'] % 5.54/5.97 Parameter nat:Type. % 5.54/5.97 Parameter x:nat. % 5.54/5.97 Parameter y:nat. % 5.54/5.97 Parameter less:(nat->(nat->Prop)). % 5.54/5.97 Axiom l:((((less x) y)->False)->(((eq nat) x) y)). % 5.54/5.97 Parameter more:(nat->(nat->Prop)). % 5.54/5.97 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)). % 5.54/5.97 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)). % 5.54/5.97 Trying to prove (((more x) y)->False) % 5.54/5.97 Found x0:((more x) y) % 5.54/5.97 Instantiate: Xx:=x:nat;Xy:=y:nat % 5.54/5.97 Found x0 as proof of ((more Xx) Xy) % 5.54/5.97 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 5.54/5.97 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found x0:((more x) y) % 5.54/5.97 Instantiate: Xx:=x:nat;Xy:=y:nat % 5.54/5.97 Found x0 as proof of ((more Xx) Xy) % 5.54/5.97 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 5.54/5.97 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found x0:((more x) y) % 5.54/5.97 Instantiate: Xx:=x:nat;Xy:=y:nat % 5.54/5.97 Found x0 as proof of ((more Xx) Xy) % 5.54/5.97 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 5.54/5.97 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found x0:((more x) y) % 5.54/5.97 Instantiate: Xx:=x:nat;Xy:=y:nat % 5.54/5.97 Found x0 as proof of ((more Xx) Xy) % 5.54/5.97 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 5.54/5.97 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found x0:((more x) y) % 5.54/5.97 Instantiate: Xx:=x:nat;Xy:=y:nat % 5.54/5.97 Found x0 as proof of ((more Xx) Xy) % 5.54/5.97 Found x0:((more x) y) % 5.54/5.97 Instantiate: Xx:=x:nat;Xy:=y:nat % 5.54/5.97 Found x0 as proof of ((more Xx) Xy) % 5.54/5.97 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 5.54/5.97 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 5.54/5.97 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found x0:((more x) y) % 7.14/7.56 Instantiate: Xx:=x:nat;Xy:=y:nat % 7.14/7.56 Found x0 as proof of ((more Xx) Xy) % 7.14/7.56 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 7.14/7.56 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx) % 7.14/7.56 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found x30:=(x3 x0):(((less Xx) Xy)->False) % 7.14/7.56 Found (x3 x0) as proof of (((less x) y)->False) % 7.14/7.56 Found (x3 x0) as proof of (((less x) y)->False) % 7.14/7.56 Found (l (x3 x0)) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found (l (x3 x0)) as proof of (((eq nat) Xx) Xy) % 7.14/7.56 Found ((x1 (l (x3 x0))) x0) as proof of False % 7.14/7.56 Found (fun (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (l (x3 x0))) x0)) as proof of False % 7.14/7.56 Found (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (l (x3 x0))) x0)) as proof of ((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False) % 7.14/7.56 Found (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (l (x3 x0))) x0)) as proof of ((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False)) % 7.14/7.56 Found (x2 (fun (x3:(((more Xx) Xy)->(((less Xx) Xy)->False))) (x4:(((less Xx) Xy)->(not (((eq nat) Xx) Xy))))=> ((x1 (l (x3 x0))) x0))) as proof of False % 7.14/7.56 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 (l (x3 x0))) x0)))) as proof of False % 7.14/7.56 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 (l (x3 x0))) x0)))) as proof of ((((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False)->False) % 7.14/7.56 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 (l (x3 x0))) x0)))) 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)) % 7.14/7.56 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 (l (x3 x0))) x0))))) as proof of False % 7.14/7.56 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 (l (x3 x0))) x0))))) as proof of False % 7.14/7.56 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 (l (x3 x0))) x0))))) as proof of False % 7.14/7.56 Found (fun (x0:((more 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 (l (x3 x0))) x0)))))) as proof of False % 7.21/7.60 Found (fun (x0:((more 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 (l (x3 x0))) x0)))))) as proof of (((more x) y)->False) % 7.21/7.60 Got proof (fun (x0:((more 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 (l (x3 x0))) x0)))))) % 7.21/7.60 Time elapsed = 6.821011s % 7.21/7.60 node=1138 cost=936.000000 depth=16 % 7.21/7.60:::::::::::::::::::::: % 7.21/7.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.21/7.60 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.21/7.60 (fun (x0:((more 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 (l (x3 x0))) x0)))))) % 7.21/7.60 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------