%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM691^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n058.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 13:11:27 EST 2018 % Result : Theorem 53.42s % Output : Proof 53.42s % 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 : NUM691^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n058.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 12:54:03 CST 2018 % 0.02/0.23 % CPUTime : % 0.02/0.26 Python 2.7.13 % 5.34/5.73 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 5.34/5.73 FOF formula (<kernel.Constant object at 0x2b95d56fac20>, <kernel.Type object at 0x2b95d56fa7e8>) of role type named nat_type % 5.34/5.73 Using role type % 5.34/5.73 Declaring nat:Type % 5.34/5.73 FOF formula (<kernel.Constant object at 0x2b95d540f200>, <kernel.Constant object at 0x2b95d56fa560>) of role type named x % 5.34/5.73 Using role type % 5.34/5.73 Declaring x:nat % 5.34/5.73 FOF formula (<kernel.Constant object at 0x2b95d56fa440>, <kernel.Constant object at 0x2b95d56fa560>) of role type named y % 5.34/5.73 Using role type % 5.34/5.73 Declaring y:nat % 5.34/5.73 FOF formula (<kernel.Constant object at 0x2b95d56fac20>, <kernel.Constant object at 0x2b95d56fa560>) of role type named z % 5.34/5.73 Using role type % 5.34/5.73 Declaring z:nat % 5.34/5.73 FOF formula (<kernel.Constant object at 0x2b95d56fad40>, <kernel.Constant object at 0x2b95d56fa560>) of role type named u % 5.34/5.73 Using role type % 5.34/5.73 Declaring u:nat % 5.34/5.73 FOF formula (<kernel.Constant object at 0x2b95d56fa440>, <kernel.DependentProduct object at 0x2b95d56fa320>) of role type named more % 5.34/5.73 Using role type % 5.34/5.73 Declaring more:(nat->(nat->Prop)) % 5.34/5.73 FOF formula ((((more x) y)->False)->(((eq nat) x) y)) of role axiom named m % 5.34/5.73 A new axiom: ((((more x) y)->False)->(((eq nat) x) y)) % 5.34/5.73 FOF formula ((((more z) u)->False)->(((eq nat) z) u)) of role axiom named n % 5.34/5.73 A new axiom: ((((more z) u)->False)->(((eq nat) z) u)) % 5.34/5.73 FOF formula (<kernel.Constant object at 0x2b95d56fa1b8>, <kernel.DependentProduct object at 0x2b95d56fa2d8>) of role type named pl % 5.34/5.73 Using role type % 5.34/5.73 Declaring pl:(nat->(nat->nat)) % 5.34/5.73 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et % 5.34/5.73 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa)) % 5.34/5.73 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((((more Xx) Xy)->False)->(((eq nat) Xx) Xy))->(((more Xz) Xu)->((more ((pl Xx) Xz)) ((pl Xy) Xu))))) of role axiom named satz22a % 5.34/5.73 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((((more Xx) Xy)->False)->(((eq nat) Xx) Xy))->(((more Xz) Xu)->((more ((pl Xx) Xz)) ((pl Xy) Xu))))) % 5.34/5.73 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((more Xx) Xy)->(((((more Xz) Xu)->False)->(((eq nat) Xz) Xu))->((more ((pl Xx) Xz)) ((pl Xy) Xu))))) of role axiom named satz22b % 5.34/5.73 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((more Xx) Xy)->(((((more Xz) Xu)->False)->(((eq nat) Xz) Xu))->((more ((pl Xx) Xz)) ((pl Xy) Xu))))) % 5.34/5.73 FOF formula ((((more ((pl x) z)) ((pl y) u))->False)->(((eq nat) ((pl x) z)) ((pl y) u))) of role conjecture named satz23 % 5.34/5.73 Conjecture to prove = ((((more ((pl x) z)) ((pl y) u))->False)->(((eq nat) ((pl x) z)) ((pl y) u))):Prop % 5.34/5.73 We need to prove ['((((more ((pl x) z)) ((pl y) u))->False)->(((eq nat) ((pl x) z)) ((pl y) u)))'] % 5.34/5.73 Parameter nat:Type. % 5.34/5.73 Parameter x:nat. % 5.34/5.73 Parameter y:nat. % 5.34/5.73 Parameter z:nat. % 5.34/5.73 Parameter u:nat. % 5.34/5.73 Parameter more:(nat->(nat->Prop)). % 5.34/5.73 Axiom m:((((more x) y)->False)->(((eq nat) x) y)). % 5.34/5.73 Axiom n:((((more z) u)->False)->(((eq nat) z) u)). % 5.34/5.73 Parameter pl:(nat->(nat->nat)). % 5.34/5.73 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)). % 5.34/5.73 Axiom satz22a:(forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((((more Xx) Xy)->False)->(((eq nat) Xx) Xy))->(((more Xz) Xu)->((more ((pl Xx) Xz)) ((pl Xy) Xu))))). % 5.34/5.73 Axiom satz22b:(forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((more Xx) Xy)->(((((more Xz) Xu)->False)->(((eq nat) Xz) Xu))->((more ((pl Xx) Xz)) ((pl Xy) Xu))))). % 5.34/5.73 Trying to prove ((((more ((pl x) z)) ((pl y) u))->False)->(((eq nat) ((pl x) z)) ((pl y) u))) % 5.34/5.73 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 5.34/5.73 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 5.34/5.73 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 5.34/5.73 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 5.34/5.73 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 5.34/5.73 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 5.34/5.73 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 5.34/5.73 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 5.34/5.73 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 5.34/5.73 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 5.34/5.73 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 5.34/5.73 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found eq_ref000:=(eq_ref00 P):((P ((pl x) z))->(P ((pl x) z))) % 33.93/34.30 Found (eq_ref00 P) as proof of (P0 ((pl x) z)) % 33.93/34.30 Found ((eq_ref0 ((pl x) z)) P) as proof of (P0 ((pl x) z)) % 33.93/34.30 Found (((eq_ref nat) ((pl x) z)) P) as proof of (P0 ((pl x) z)) % 33.93/34.30 Found (((eq_ref nat) ((pl x) z)) P) as proof of (P0 ((pl x) z)) % 33.93/34.30 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found eq_ref000:=(eq_ref00 P):((P ((pl x) z))->(P ((pl x) z))) % 33.93/34.30 Found (eq_ref00 P) as proof of (P0 ((pl x) z)) % 33.93/34.30 Found ((eq_ref0 ((pl x) z)) P) as proof of (P0 ((pl x) z)) % 33.93/34.30 Found (((eq_ref nat) ((pl x) z)) P) as proof of (P0 ((pl x) z)) % 33.93/34.30 Found (((eq_ref nat) ((pl x) z)) P) as proof of (P0 ((pl x) z)) % 33.93/34.30 Found eq_ref00:=(eq_ref0 ((pl x) z)):(((eq nat) ((pl x) z)) ((pl x) z)) % 33.93/34.30 Found (eq_ref0 ((pl x) z)) as proof of (((eq nat) ((pl x) z)) b) % 33.93/34.30 Found ((eq_ref nat) ((pl x) z)) as proof of (((eq nat) ((pl x) z)) b) % 33.93/34.30 Found ((eq_ref nat) ((pl x) z)) as proof of (((eq nat) ((pl x) z)) b) % 33.93/34.30 Found ((eq_ref nat) ((pl x) z)) as proof of (((eq nat) ((pl x) z)) b) % 33.93/34.30 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b) % 33.93/34.30 Found (eq_ref0 b) as proof of (((eq nat) b) ((pl y) u)) % 33.93/34.30 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl y) u)) % 33.93/34.30 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl y) u)) % 33.93/34.30 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl y) u)) % 33.93/34.30 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found eq_ref00:=(eq_ref0 ((pl x) z)):(((eq nat) ((pl x) z)) ((pl x) z)) % 33.93/34.30 Found (eq_ref0 ((pl x) z)) as proof of (((eq nat) ((pl x) z)) b) % 33.93/34.30 Found ((eq_ref nat) ((pl x) z)) as proof of (((eq nat) ((pl x) z)) b) % 33.93/34.30 Found ((eq_ref nat) ((pl x) z)) as proof of (((eq nat) ((pl x) z)) b) % 33.93/34.30 Found ((eq_ref nat) ((pl x) z)) as proof of (((eq nat) ((pl x) z)) b) % 33.93/34.30 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b) % 33.93/34.30 Found (eq_ref0 b) as proof of (((eq nat) b) ((pl y) u)) % 33.93/34.30 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl y) u)) % 33.93/34.30 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl y) u)) % 33.93/34.30 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl y) u)) % 33.93/34.30 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 33.93/34.30 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 33.93/34.30 Found x00:False % 33.93/34.30 Found (fun (x01:((((eq nat) ((pl x) z)) ((pl y) u))->False))=> x00) as proof of False % 33.93/34.30 Found (fun (x01:((((eq nat) ((pl x) z)) ((pl y) u))->False))=> x00) as proof of (((((eq nat) ((pl x) z)) ((pl y) u))->False)->False) % 49.13/49.56 Found eq_ref00:=(eq_ref0 ((pl y) u)):(((eq nat) ((pl y) u)) ((pl y) u)) % 49.13/49.56 Found (eq_ref0 ((pl y) u)) as proof of (((eq nat) ((pl y) u)) b) % 49.13/49.56 Found ((eq_ref nat) ((pl y) u)) as proof of (((eq nat) ((pl y) u)) b) % 49.13/49.56 Found ((eq_ref nat) ((pl y) u)) as proof of (((eq nat) ((pl y) u)) b) % 49.13/49.56 Found ((eq_ref nat) ((pl y) u)) as proof of (((eq nat) ((pl y) u)) b) % 49.13/49.56 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b) % 49.13/49.56 Found (eq_ref0 b) as proof of (((eq nat) b) ((pl x) z)) % 49.13/49.56 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl x) z)) % 49.13/49.56 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl x) z)) % 49.13/49.56 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((pl x) z)) % 49.13/49.56 Found x00:False % 49.13/49.56 Found (fun (x01:(((P ((pl x) z))->(P ((pl y) u)))->False))=> x00) as proof of False % 49.13/49.56 Found (fun (x01:(((P ((pl x) z))->(P ((pl y) u)))->False))=> x00) as proof of ((((P ((pl x) z))->(P ((pl y) u)))->False)->False) % 49.13/49.56 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found x01:False % 49.13/49.56 Found (fun (x1:((P ((pl y) u))->False))=> x01) as proof of False % 49.13/49.56 Found (fun (x1:((P ((pl y) u))->False))=> x01) as proof of (((P ((pl y) u))->False)->False) % 49.13/49.56 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found satz22b000000:=(satz22b00000 n):((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found (satz22b00000 n) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found ((satz22b0000 u) n) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found (((satz22b000 z) u) n) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found ((((fun (Xz:nat) (Xu:nat)=> (((satz22b00 Xz) Xu) x1)) z) u) n) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found ((((fun (Xz:nat) (Xu:nat)=> ((((satz22b0 y) Xz) Xu) x1)) z) u) n) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n)) as proof of False % 49.13/49.56 Found (fun (x1:((more x) y))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n))) as proof of False % 49.13/49.56 Found (fun (x1:((more x) y))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n))) as proof of (((more x) y)->False) % 49.13/49.56 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 49.13/49.56 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 49.13/49.56 Found satz22a000000:=(satz22a00000 x1):((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found (satz22a00000 x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found ((satz22a0000 u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found (((satz22a000 z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found ((((fun (Xz:nat) (Xu:nat)=> (((satz22a00 Xz) Xu) m)) z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 49.13/49.56 Found ((((fun (Xz:nat) (Xu:nat)=> ((((satz22a0 y) Xz) Xu) m)) z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1)) as proof of False % 52.72/53.12 Found (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))) as proof of False % 52.72/53.12 Found (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))) as proof of (((more z) u)->False) % 52.72/53.12 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found m:((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found m as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 52.72/53.12 Found n:((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found n as proof of ((((more z) u)->False)->(((eq nat) z) u)) % 52.72/53.12 Found satz22a000000:=(satz22a00000 x1):((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found (satz22a00000 x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found ((satz22a0000 u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found (((satz22a000 z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found ((((fun (Xz:nat) (Xu:nat)=> (((satz22a00 Xz) Xu) m)) z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found ((((fun (Xz:nat) (Xu:nat)=> ((((satz22a0 y) Xz) Xu) m)) z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1) as proof of ((more ((pl x) z)) ((pl y) u)) % 52.72/53.12 Found (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1)) as proof of False % 52.72/53.12 Found (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))) as proof of False % 52.72/53.12 Found (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))) as proof of (((more z) u)->False) % 52.72/53.12 Found (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1)))) as proof of (((eq nat) z) u) % 52.72/53.12 Found (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1)))) as proof of (((eq nat) z) u) % 52.72/53.12 Found (eq_substitution00000 (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))) as proof of (P x) % 52.72/53.12 Found ((eq_substitution0000 (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))) as proof of (P x) % 52.72/53.12 Found (((eq_substitution000 u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))) as proof of (P x) % 52.72/53.12 Found ((((eq_substitution00 z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))) as proof of (P x) % 52.72/53.12 Found (((((eq_substitution0 nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))) as proof of (P x) % 52.72/53.12 Found ((((((eq_substitution nat) nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))) as proof of (P x) % 53.42/53.85 Found ((((((eq_substitution nat) nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))) as proof of (P x) % 53.42/53.85 Found ((m0 (fun (x1:((more x) y))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n)))) ((((((eq_substitution nat) nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1)))))) as proof of (((eq nat) ((pl x) z)) ((pl y) u)) % 53.42/53.85 Found ((m0 (fun (x1:((more x) y))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n)))) ((((((eq_substitution nat) nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1)))))) as proof of (((eq nat) ((pl x) z)) ((pl y) u)) % 53.42/53.85 Found (((fun (x00:(((more x) y)->False))=> ((m x00) (fun (x1:nat)=> (((eq nat) ((pl x) z)) ((pl x1) u))))) (fun (x1:((more x) y))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n)))) ((((((eq_substitution nat) nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1)))))) as proof of (((eq nat) ((pl x) z)) ((pl y) u)) % 53.42/53.85 Found (fun (x0:(((more ((pl x) z)) ((pl y) u))->False))=> (((fun (x00:(((more x) y)->False))=> ((m x00) (fun (x1:nat)=> (((eq nat) ((pl x) z)) ((pl x1) u))))) (fun (x1:((more x) y))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n)))) ((((((eq_substitution nat) nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))))) as proof of (((eq nat) ((pl x) z)) ((pl y) u)) % 53.42/53.85 Found (fun (x0:(((more ((pl x) z)) ((pl y) u))->False))=> (((fun (x00:(((more x) y)->False))=> ((m x00) (fun (x1:nat)=> (((eq nat) ((pl x) z)) ((pl x1) u))))) (fun (x1:((more x) y))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n)))) ((((((eq_substitution nat) nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))))) as proof of ((((more ((pl x) z)) ((pl y) u))->False)->(((eq nat) ((pl x) z)) ((pl y) u))) % 53.42/53.85 Got proof (fun (x0:(((more ((pl x) z)) ((pl y) u))->False))=> (((fun (x00:(((more x) y)->False))=> ((m x00) (fun (x1:nat)=> (((eq nat) ((pl x) z)) ((pl x1) u))))) (fun (x1:((more x) y))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n)))) ((((((eq_substitution nat) nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))))) % 53.42/53.85 Time elapsed = 52.565277s % 53.42/53.85 node=12258 cost=671.000000 depth=23 % 53.42/53.85:::::::::::::::::::::: % 53.42/53.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 53.42/53.85 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 53.42/53.85 (fun (x0:(((more ((pl x) z)) ((pl y) u))->False))=> (((fun (x00:(((more x) y)->False))=> ((m x00) (fun (x1:nat)=> (((eq nat) ((pl x) z)) ((pl x1) u))))) (fun (x1:((more x) y))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22b x) y) Xz) Xu) x1)) z) u) n)))) ((((((eq_substitution nat) nat) z) u) (pl x)) (n (fun (x1:((more z) u))=> (x0 ((((fun (Xz:nat) (Xu:nat)=> (((((satz22a x) y) Xz) Xu) m)) z) u) x1))))))) % 53.42/53.85 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------