%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM750^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n146.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 13:11:37 EST 2018 % Result : Theorem 0.37s % Output : Proof 0.37s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM750^1 : TPTP v7.0.0. Released v3.7.0. % 0.02/0.06 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.03/0.25 % Computer : n146.star.cs.uiowa.edu % 0.03/0.25 % Model : x86_64 x86_64 % 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.03/0.25 % Memory : 32218.625MB % 0.03/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.03/0.25 % CPULimit : 300 % 0.03/0.25 % DateTime : Fri Jan 5 13:30:04 CST 2018 % 0.03/0.25 % CPUTime : % 0.03/0.27 Python 2.7.13 % 0.37/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.37/0.61 FOF formula (<kernel.Constant object at 0x2b5a0f6737e8>, <kernel.Type object at 0x2b5a0f6734d0>) of role type named frac_type % 0.37/0.61 Using role type % 0.37/0.61 Declaring frac:Type % 0.37/0.61 FOF formula (<kernel.Constant object at 0x2b5a0f7546c8>, <kernel.Constant object at 0x2b5a0f673758>) of role type named x % 0.37/0.61 Using role type % 0.37/0.61 Declaring x:frac % 0.37/0.61 FOF formula (<kernel.Constant object at 0x2b5a0f7546c8>, <kernel.Constant object at 0x2b5a0f673758>) of role type named y % 0.37/0.61 Using role type % 0.37/0.61 Declaring y:frac % 0.37/0.61 FOF formula (<kernel.Constant object at 0x2b5a0f6737e8>, <kernel.Constant object at 0x2b5a0f673758>) of role type named z % 0.37/0.61 Using role type % 0.37/0.61 Declaring z:frac % 0.37/0.61 FOF formula (<kernel.Constant object at 0x2b5a0f673368>, <kernel.DependentProduct object at 0x2b5a0f673ab8>) of role type named eq % 0.37/0.61 Using role type % 0.37/0.61 Declaring _TPTP_eq:(frac->(frac->Prop)) % 0.37/0.61 FOF formula ((_TPTP_eq x) y) of role axiom named e % 0.37/0.61 A new axiom: ((_TPTP_eq x) y) % 0.37/0.61 FOF formula (<kernel.Constant object at 0x2b5a0f673758>, <kernel.DependentProduct object at 0x2b5a0f6737e8>) of role type named pf % 0.37/0.61 Using role type % 0.37/0.61 Declaring pf:(frac->(frac->frac)) % 0.37/0.61 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac) (Xu:frac), (((_TPTP_eq Xx) Xy)->(((_TPTP_eq Xz) Xu)->((_TPTP_eq ((pf Xx) Xz)) ((pf Xy) Xu))))) of role axiom named satz56 % 0.37/0.61 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac) (Xu:frac), (((_TPTP_eq Xx) Xy)->(((_TPTP_eq Xz) Xu)->((_TPTP_eq ((pf Xx) Xz)) ((pf Xy) Xu))))) % 0.37/0.61 FOF formula (forall (Xx:frac), ((_TPTP_eq Xx) Xx)) of role axiom named satz37 % 0.37/0.61 A new axiom: (forall (Xx:frac), ((_TPTP_eq Xx) Xx)) % 0.37/0.61 FOF formula ((_TPTP_eq ((pf x) z)) ((pf y) z)) of role conjecture named satz62b % 0.37/0.61 Conjecture to prove = ((_TPTP_eq ((pf x) z)) ((pf y) z)):Prop % 0.37/0.61 We need to prove ['((_TPTP_eq ((pf x) z)) ((pf y) z))'] % 0.37/0.61 Parameter frac:Type. % 0.37/0.61 Parameter x:frac. % 0.37/0.61 Parameter y:frac. % 0.37/0.61 Parameter z:frac. % 0.37/0.61 Parameter _TPTP_eq:(frac->(frac->Prop)). % 0.37/0.61 Axiom e:((_TPTP_eq x) y). % 0.37/0.61 Parameter pf:(frac->(frac->frac)). % 0.37/0.61 Axiom satz56:(forall (Xx:frac) (Xy:frac) (Xz:frac) (Xu:frac), (((_TPTP_eq Xx) Xy)->(((_TPTP_eq Xz) Xu)->((_TPTP_eq ((pf Xx) Xz)) ((pf Xy) Xu))))). % 0.37/0.61 Axiom satz37:(forall (Xx:frac), ((_TPTP_eq Xx) Xx)). % 0.37/0.61 Trying to prove ((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.37/0.61 Found satz370:=(satz37 z):((_TPTP_eq z) z) % 0.37/0.61 Found (satz37 z) as proof of ((_TPTP_eq z) z) % 0.37/0.61 Found (satz37 z) as proof of ((_TPTP_eq z) z) % 0.37/0.61 Found (satz5600000 (satz37 z)) as proof of ((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.37/0.61 Found ((satz560000 z) (satz37 z)) as proof of ((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.37/0.61 Found (((satz56000 z) z) (satz37 z)) as proof of ((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.37/0.61 Found ((((fun (Xz:frac) (Xu:frac)=> (((satz5600 Xz) Xu) e)) z) z) (satz37 z)) as proof of ((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.37/0.61 Found ((((fun (Xz:frac) (Xu:frac)=> ((((satz560 y) Xz) Xu) e)) z) z) (satz37 z)) as proof of ((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.37/0.61 Found ((((fun (Xz:frac) (Xu:frac)=> (((((satz56 x) y) Xz) Xu) e)) z) z) (satz37 z)) as proof of ((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.37/0.61 Found ((((fun (Xz:frac) (Xu:frac)=> (((((satz56 x) y) Xz) Xu) e)) z) z) (satz37 z)) as proof of ((_TPTP_eq ((pf x) z)) ((pf y) z)) % 0.37/0.61 Got proof ((((fun (Xz:frac) (Xu:frac)=> (((((satz56 x) y) Xz) Xu) e)) z) z) (satz37 z)) % 0.37/0.61 Time elapsed = 0.060581s % 0.37/0.61 node=18 cost=9.000000 depth=8 % 0.37/0.61:::::::::::::::::::::: % 0.37/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.37/0.61 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.37/0.61 ((((fun (Xz:frac) (Xu:frac)=> (((((satz56 x) y) Xz) Xu) e)) z) z) (satz37 z)) % 0.37/0.61 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------