%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM676^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n171.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 13:11:24 EST 2018 % Result : Theorem 0.38s % Output : Proof 0.38s % 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 : NUM676^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n171.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 12:19:34 CST 2018 % 0.02/0.23 % CPUTime : % 0.08/0.32 Python 2.7.13 % 0.38/0.82 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.38/0.82 FOF formula (<kernel.Constant object at 0x2b3542bef830>, <kernel.Type object at 0x2b3542bef710>) of role type named nat_type % 0.38/0.82 Using role type % 0.38/0.82 Declaring nat:Type % 0.38/0.82 FOF formula (<kernel.Constant object at 0x2b3542bef3b0>, <kernel.Constant object at 0x2b3542bef200>) of role type named x % 0.38/0.82 Using role type % 0.38/0.82 Declaring x:nat % 0.38/0.82 FOF formula (<kernel.Constant object at 0x2b3542cd1f80>, <kernel.Constant object at 0x2b3542bef200>) of role type named y % 0.38/0.82 Using role type % 0.38/0.82 Declaring y:nat % 0.38/0.82 FOF formula (<kernel.Constant object at 0x2b3542bef830>, <kernel.Constant object at 0x2b3542bef3b0>) of role type named z % 0.38/0.82 Using role type % 0.38/0.82 Declaring z:nat % 0.38/0.82 FOF formula (<kernel.Constant object at 0x2b3542bef170>, <kernel.Constant object at 0x2b3542fbeb00>) of role type named u % 0.38/0.82 Using role type % 0.38/0.82 Declaring u:nat % 0.38/0.82 FOF formula (((eq nat) x) y) of role axiom named i % 0.38/0.82 A new axiom: (((eq nat) x) y) % 0.38/0.82 FOF formula (<kernel.Constant object at 0x2b3542bef170>, <kernel.DependentProduct object at 0x2b3542fbeef0>) of role type named more % 0.38/0.82 Using role type % 0.38/0.82 Declaring more:(nat->(nat->Prop)) % 0.38/0.82 FOF formula ((more z) u) of role axiom named m % 0.38/0.82 A new axiom: ((more z) u) % 0.38/0.82 FOF formula (<kernel.Constant object at 0x2b3542bef200>, <kernel.DependentProduct object at 0x2b3542fbef80>) of role type named pl % 0.38/0.82 Using role type % 0.38/0.82 Declaring pl:(nat->(nat->nat)) % 0.38/0.82 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), (((more Xx) Xy)->((more ((pl Xz) Xx)) ((pl Xz) Xy)))) of role axiom named satz19d % 0.38/0.82 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), (((more Xx) Xy)->((more ((pl Xz) Xx)) ((pl Xz) Xy)))) % 0.38/0.82 FOF formula ((more ((pl x) z)) ((pl y) u)) of role conjecture named satz19g % 0.38/0.82 Conjecture to prove = ((more ((pl x) z)) ((pl y) u)):Prop % 0.38/0.82 We need to prove ['((more ((pl x) z)) ((pl y) u))'] % 0.38/0.82 Parameter nat:Type. % 0.38/0.82 Parameter x:nat. % 0.38/0.82 Parameter y:nat. % 0.38/0.82 Parameter z:nat. % 0.38/0.82 Parameter u:nat. % 0.38/0.82 Axiom i:(((eq nat) x) y). % 0.38/0.82 Parameter more:(nat->(nat->Prop)). % 0.38/0.82 Axiom m:((more z) u). % 0.38/0.82 Parameter pl:(nat->(nat->nat)). % 0.38/0.82 Axiom satz19d:(forall (Xx:nat) (Xy:nat) (Xz:nat), (((more Xx) Xy)->((more ((pl Xz) Xx)) ((pl Xz) Xy)))). % 0.38/0.82 Trying to prove ((more ((pl x) z)) ((pl y) u)) % 0.38/0.82 Found satz19d0000:=(satz19d000 x):((more ((pl x) z)) ((pl x) u)) % 0.38/0.82 Found (satz19d000 x) as proof of ((more ((pl x) z)) ((pl x) u)) % 0.38/0.82 Found ((fun (Xz:nat)=> ((satz19d00 Xz) m)) x) as proof of ((more ((pl x) z)) ((pl x) u)) % 0.38/0.82 Found ((fun (Xz:nat)=> (((satz19d0 u) Xz) m)) x) as proof of ((more ((pl x) z)) ((pl x) u)) % 0.38/0.82 Found ((fun (Xz:nat)=> ((((satz19d z) u) Xz) m)) x) as proof of ((more ((pl x) z)) ((pl x) u)) % 0.38/0.82 Found ((fun (Xz:nat)=> ((((satz19d z) u) Xz) m)) x) as proof of ((more ((pl x) z)) ((pl x) u)) % 0.38/0.82 Found (i0 ((fun (Xz:nat)=> ((((satz19d z) u) Xz) m)) x)) as proof of ((more ((pl x) z)) ((pl y) u)) % 0.38/0.82 Found ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl x1) u)))) ((fun (Xz:nat)=> ((((satz19d z) u) Xz) m)) x)) as proof of ((more ((pl x) z)) ((pl y) u)) % 0.38/0.82 Found ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl x1) u)))) ((fun (Xz:nat)=> ((((satz19d z) u) Xz) m)) x)) as proof of ((more ((pl x) z)) ((pl y) u)) % 0.38/0.82 Got proof ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl x1) u)))) ((fun (Xz:nat)=> ((((satz19d z) u) Xz) m)) x)) % 0.38/0.82 Time elapsed = 0.067354s % 0.38/0.82 node=15 cost=-7.000000 depth=7 % 0.38/0.82:::::::::::::::::::::: % 0.38/0.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.38/0.82 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.38/0.82 ((i (fun (x1:nat)=> ((more ((pl x) z)) ((pl x1) u)))) ((fun (Xz:nat)=> ((((satz19d z) u) Xz) m)) x)) % 0.38/0.82 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------