%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEV432^1 : TPTP v6.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n113.star.cs.uiowa.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz % Memory : 32286.75MB % OS : Linux 2.6.32-431.20.3.el6.x86_64 % CPULimit : 300s % DateTime : Thu Jul 17 13:34:11 EDT 2014 % Result : Theorem 0.45s % Output : Proof 0.45s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEV432^1 : TPTP v6.1.0. Released v5.2.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n113.star.cs.uiowa.edu % % Model : x86_64 x86_64 % % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % % Memory : 32286.75MB % % OS : Linux 2.6.32-431.20.3.el6.x86_64 % % CPULimit : 300 % % DateTime : Thu Jul 17 09:13:16 CDT 2014 % % CPUTime : 0.45 % Python 2.7.5 % Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % FOF formula (<kernel.Constant object at 0x1259f80>, <kernel.Type object at 0x12595f0>) of role type named a % Using role type % Declaring a:Type % FOF formula (<kernel.Constant object at 0x14a0908>, <kernel.Type object at 0x1259cf8>) of role type named b % Using role type % Declaring b:Type % FOF formula (<kernel.Constant object at 0x1259b90>, <kernel.DependentProduct object at 0x12594d0>) of role type named f % Using role type % Declaring f:(a->b) % FOF formula (forall (Y:b), ((ex a) (fun (X:a)=> (((eq b) (f X)) Y)))) of role axiom named fsurj % A new axiom: (forall (Y:b), ((ex a) (fun (X:a)=> (((eq b) (f X)) Y)))) % FOF formula ((ex (b->a)) (fun (G:(b->a))=> (forall (X:b), (((eq b) (f (G X))) X)))) of role conjecture named invexists % Conjecture to prove = ((ex (b->a)) (fun (G:(b->a))=> (forall (X:b), (((eq b) (f (G X))) X)))):Prop % Parameter a_DUMMY:a. % Parameter b_DUMMY:b. % We need to prove ['((ex (b->a)) (fun (G:(b->a))=> (forall (X:b), (((eq b) (f (G X))) X))))'] % Parameter a:Type. % Parameter b:Type. % Parameter f:(a->b). % Axiom fsurj:(forall (Y:b), ((ex a) (fun (X:a)=> (((eq b) (f X)) Y)))). % Trying to prove ((ex (b->a)) (fun (G:(b->a))=> (forall (X:b), (((eq b) (f (G X))) X)))) % Found fsurj:(forall (Y:b), ((ex a) (fun (X:a)=> (((eq b) (f X)) Y)))) % Found fsurj as proof of (forall (x:b), ((ex a) (fun (y:a)=> (((eq b) (f y)) x)))) % Found (choice000 fsurj) as proof of ((ex (b->a)) (fun (G:(b->a))=> (forall (X:b), (((eq b) (f (G X))) X)))) % Found ((choice00 (fun (x3:b) (x20:a)=> (((eq b) (f x20)) x3))) fsurj) as proof of ((ex (b->a)) (fun (G:(b->a))=> (forall (X:b), (((eq b) (f (G X))) X)))) % Found (((choice0 a) (fun (x3:b) (x20:a)=> (((eq b) (f x20)) x3))) fsurj) as proof of ((ex (b->a)) (fun (G:(b->a))=> (forall (X:b), (((eq b) (f (G X))) X)))) % Found ((((choice b) a) (fun (x3:b) (x20:a)=> (((eq b) (f x20)) x3))) fsurj) as proof of ((ex (b->a)) (fun (G:(b->a))=> (forall (X:b), (((eq b) (f (G X))) X)))) % Found ((((choice b) a) (fun (x3:b) (x20:a)=> (((eq b) (f x20)) x3))) fsurj) as proof of ((ex (b->a)) (fun (G:(b->a))=> (forall (X:b), (((eq b) (f (G X))) X)))) % Got proof ((((choice b) a) (fun (x3:b) (x20:a)=> (((eq b) (f x20)) x3))) fsurj) % Time elapsed = 0.142607s % node=31 cost=129.000000 depth=5 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % ((((choice b) a) (fun (x3:b) (x20:a)=> (((eq b) (f x20)) x3))) fsurj) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------