%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM738^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n160.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 13:11:35 EST 2018 % Result : Theorem 0.43s % Output : Proof 0.43s % 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 : NUM738^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.05 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.03/0.24 % Computer : n160.star.cs.uiowa.edu % 0.03/0.24 % Model : x86_64 x86_64 % 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.03/0.24 % Memory : 32218.625MB % 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.03/0.24 % CPULimit : 300 % 0.03/0.24 % DateTime : Fri Jan 5 13:20:19 CST 2018 % 0.03/0.24 % CPUTime : % 0.07/0.26 Python 2.7.13 % 0.43/0.64 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6c68>, <kernel.Type object at 0x2b061e7a6638>) of role type named frac_type % 0.43/0.64 Using role type % 0.43/0.64 Declaring frac:Type % 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6b48>, <kernel.Constant object at 0x2b061e7a6cf8>) of role type named x % 0.43/0.64 Using role type % 0.43/0.64 Declaring x:frac % 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e44d830>, <kernel.Constant object at 0x2b061e7a6cf8>) of role type named y % 0.43/0.64 Using role type % 0.43/0.64 Declaring y:frac % 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6c68>, <kernel.Constant object at 0x2b061e7a6b48>) of role type named z % 0.43/0.64 Using role type % 0.43/0.64 Declaring z:frac % 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6ea8>, <kernel.Constant object at 0x2b061eec38c0>) of role type named u % 0.43/0.64 Using role type % 0.43/0.64 Declaring u:frac % 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6b48>, <kernel.DependentProduct object at 0x2b061eec37a0>) of role type named lessf % 0.43/0.64 Using role type % 0.43/0.64 Declaring lessf:(frac->(frac->Prop)) % 0.43/0.64 FOF formula ((lessf x) y) of role axiom named l % 0.43/0.64 A new axiom: ((lessf x) y) % 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061e7a6cf8>, <kernel.DependentProduct object at 0x2b061eec3050>) of role type named eq % 0.43/0.64 Using role type % 0.43/0.64 Declaring _TPTP_eq:(frac->(frac->Prop)) % 0.43/0.64 FOF formula ((_TPTP_eq x) z) of role axiom named e % 0.43/0.64 A new axiom: ((_TPTP_eq x) z) % 0.43/0.64 FOF formula ((_TPTP_eq y) u) of role axiom named f % 0.43/0.64 A new axiom: ((_TPTP_eq y) u) % 0.43/0.64 FOF formula (<kernel.Constant object at 0x2b061eec3560>, <kernel.DependentProduct object at 0x2b061eec5680>) of role type named moref % 0.43/0.64 Using role type % 0.43/0.64 Declaring moref:(frac->(frac->Prop)) % 0.43/0.64 FOF formula (forall (Xx:frac) (Xy:frac), (((moref Xx) Xy)->((lessf Xy) Xx))) of role axiom named satz42 % 0.43/0.64 A new axiom: (forall (Xx:frac) (Xy:frac), (((moref Xx) Xy)->((lessf Xy) Xx))) % 0.43/0.64 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac) (Xu:frac), (((moref Xx) Xy)->(((_TPTP_eq Xx) Xz)->(((_TPTP_eq Xy) Xu)->((moref Xz) Xu))))) of role axiom named satz44 % 0.43/0.64 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac) (Xu:frac), (((moref Xx) Xy)->(((_TPTP_eq Xx) Xz)->(((_TPTP_eq Xy) Xu)->((moref Xz) Xu))))) % 0.43/0.64 FOF formula (forall (Xx:frac) (Xy:frac), (((lessf Xx) Xy)->((moref Xy) Xx))) of role axiom named satz43 % 0.43/0.64 A new axiom: (forall (Xx:frac) (Xy:frac), (((lessf Xx) Xy)->((moref Xy) Xx))) % 0.43/0.64 FOF formula ((lessf z) u) of role conjecture named satz45 % 0.43/0.64 Conjecture to prove = ((lessf z) u):Prop % 0.43/0.64 We need to prove ['((lessf z) u)'] % 0.43/0.64 Parameter frac:Type. % 0.43/0.64 Parameter x:frac. % 0.43/0.64 Parameter y:frac. % 0.43/0.64 Parameter z:frac. % 0.43/0.64 Parameter u:frac. % 0.43/0.64 Parameter lessf:(frac->(frac->Prop)). % 0.43/0.64 Axiom l:((lessf x) y). % 0.43/0.64 Parameter _TPTP_eq:(frac->(frac->Prop)). % 0.43/0.64 Axiom e:((_TPTP_eq x) z). % 0.43/0.64 Axiom f:((_TPTP_eq y) u). % 0.43/0.64 Parameter moref:(frac->(frac->Prop)). % 0.43/0.64 Axiom satz42:(forall (Xx:frac) (Xy:frac), (((moref Xx) Xy)->((lessf Xy) Xx))). % 0.43/0.64 Axiom satz44:(forall (Xx:frac) (Xy:frac) (Xz:frac) (Xu:frac), (((moref Xx) Xy)->(((_TPTP_eq Xx) Xz)->(((_TPTP_eq Xy) Xu)->((moref Xz) Xu))))). % 0.43/0.64 Axiom satz43:(forall (Xx:frac) (Xy:frac), (((lessf Xx) Xy)->((moref Xy) Xx))). % 0.43/0.64 Trying to prove ((lessf z) u) % 0.43/0.64 Found f:((_TPTP_eq y) u) % 0.43/0.64 Found f as proof of ((_TPTP_eq y) u) % 0.43/0.64 Found satz43000:=(satz4300 l):((moref y) x) % 0.43/0.64 Found (satz4300 l) as proof of ((moref y) x) % 0.43/0.64 Found ((satz430 y) l) as proof of ((moref y) x) % 0.43/0.64 Found (((satz43 x) y) l) as proof of ((moref y) x) % 0.43/0.64 Found (((satz43 x) y) l) as proof of ((moref y) x) % 0.43/0.64 Found ((satz4400000 (((satz43 x) y) l)) f) as proof of ((moref u) z) % 0.43/0.64 Found (((satz440000 y) (((satz43 x) y) l)) f) as proof of ((moref u) z) % 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> ((((satz44000 Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z) % 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> ((satz4400 Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z) % 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> (((satz440 Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z) % 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z) % 0.43/0.64 Found ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f) as proof of ((moref u) z) % 0.43/0.64 Found (satz4200 ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) as proof of ((lessf z) u) % 0.43/0.64 Found ((satz420 z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) as proof of ((lessf z) u) % 0.43/0.64 Found (((satz42 u) z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) as proof of ((lessf z) u) % 0.43/0.64 Found (((satz42 u) z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) as proof of ((lessf z) u) % 0.43/0.64 Got proof (((satz42 u) z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) % 0.43/0.64 Time elapsed = 0.091386s % 0.43/0.64 node=25 cost=783.000000 depth=14 % 0.43/0.64:::::::::::::::::::::: % 0.43/0.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.43/0.64 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.43/0.64 (((satz42 u) z) ((((fun (Xx:frac) (x0:((moref Xx) x)) (x00:((_TPTP_eq Xx) u))=> (((((fun (Xx:frac)=> (((fun (Xx:frac) (Xy:frac)=> ((((fun (Xx:frac) (Xy:frac)=> (((satz44 Xx) Xy) u)) Xx) Xy) z)) Xx) x)) Xx) x0) x00) e)) y) (((satz43 x) y) l)) f)) % 0.43/0.64 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------