%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM672^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n090.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 13:11:23 EST 2018 % Result : Theorem 0.40s % Output : Proof 0.40s % 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 : NUM672^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.02/0.24 % Computer : n090.star.cs.uiowa.edu % 0.02/0.24 % Model : x86_64 x86_64 % 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.02/0.24 % Memory : 32218.625MB % 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.02/0.24 % CPULimit : 300 % 0.02/0.24 % DateTime : Fri Jan 5 12:30:04 CST 2018 % 0.02/0.24 % CPUTime : % 0.07/0.25 Python 2.7.13 % 0.40/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.40/0.60 FOF formula (<kernel.Constant object at 0x2b086cb4fb48>, <kernel.Type object at 0x2b086cb4b248>) of role type named nat_type % 0.40/0.60 Using role type % 0.40/0.60 Declaring nat:Type % 0.40/0.60 FOF formula (<kernel.Constant object at 0x2b086cc2b5f0>, <kernel.Constant object at 0x2b086cb4b440>) of role type named x % 0.40/0.60 Using role type % 0.40/0.60 Declaring x:nat % 0.40/0.60 FOF formula (<kernel.Constant object at 0x2b086cb4f248>, <kernel.Constant object at 0x2b086cb4b710>) of role type named y % 0.40/0.60 Using role type % 0.40/0.60 Declaring y:nat % 0.40/0.60 FOF formula (<kernel.Constant object at 0x2b086cb4fb48>, <kernel.Constant object at 0x2b086cb4b710>) of role type named z % 0.40/0.60 Using role type % 0.40/0.60 Declaring z:nat % 0.40/0.60 FOF formula (<kernel.Constant object at 0x2b086cb4fb48>, <kernel.DependentProduct object at 0x2b086cb4b7e8>) of role type named less % 0.40/0.60 Using role type % 0.40/0.60 Declaring less:(nat->(nat->Prop)) % 0.40/0.60 FOF formula ((less x) y) of role axiom named l % 0.40/0.60 A new axiom: ((less x) y) % 0.40/0.60 FOF formula (<kernel.Constant object at 0x2b086cb4b710>, <kernel.DependentProduct object at 0x2b086cb4b758>) of role type named pl % 0.40/0.60 Using role type % 0.40/0.60 Declaring pl:(nat->(nat->nat)) % 0.40/0.60 FOF formula (<kernel.Constant object at 0x2b086cb4bd40>, <kernel.DependentProduct object at 0x2b086cb4b830>) of role type named more % 0.40/0.60 Using role type % 0.40/0.60 Declaring more:(nat->(nat->Prop)) % 0.40/0.60 FOF formula (forall (Xx:nat) (Xy:nat), (((more Xx) Xy)->((less Xy) Xx))) of role axiom named satz11 % 0.40/0.60 A new axiom: (forall (Xx:nat) (Xy:nat), (((more Xx) Xy)->((less Xy) Xx))) % 0.40/0.60 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), (((more Xx) Xy)->((more ((pl Xx) Xz)) ((pl Xy) Xz)))) of role axiom named satz19a % 0.40/0.60 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), (((more Xx) Xy)->((more ((pl Xx) Xz)) ((pl Xy) Xz)))) % 0.40/0.60 FOF formula (forall (Xx:nat) (Xy:nat), (((less Xx) Xy)->((more Xy) Xx))) of role axiom named satz12 % 0.40/0.60 A new axiom: (forall (Xx:nat) (Xy:nat), (((less Xx) Xy)->((more Xy) Xx))) % 0.40/0.60 FOF formula ((less ((pl x) z)) ((pl y) z)) of role conjecture named satz19c % 0.40/0.60 Conjecture to prove = ((less ((pl x) z)) ((pl y) z)):Prop % 0.40/0.60 We need to prove ['((less ((pl x) z)) ((pl y) z))'] % 0.40/0.60 Parameter nat:Type. % 0.40/0.60 Parameter x:nat. % 0.40/0.60 Parameter y:nat. % 0.40/0.60 Parameter z:nat. % 0.40/0.60 Parameter less:(nat->(nat->Prop)). % 0.40/0.60 Axiom l:((less x) y). % 0.40/0.60 Parameter pl:(nat->(nat->nat)). % 0.40/0.60 Parameter more:(nat->(nat->Prop)). % 0.40/0.60 Axiom satz11:(forall (Xx:nat) (Xy:nat), (((more Xx) Xy)->((less Xy) Xx))). % 0.40/0.60 Axiom satz19a:(forall (Xx:nat) (Xy:nat) (Xz:nat), (((more Xx) Xy)->((more ((pl Xx) Xz)) ((pl Xy) Xz)))). % 0.40/0.60 Axiom satz12:(forall (Xx:nat) (Xy:nat), (((less Xx) Xy)->((more Xy) Xx))). % 0.40/0.60 Trying to prove ((less ((pl x) z)) ((pl y) z)) % 0.40/0.60 Found satz12000:=(satz1200 l):((more y) x) % 0.40/0.60 Found (satz1200 l) as proof of ((more y) x) % 0.40/0.60 Found ((satz120 y) l) as proof of ((more y) x) % 0.40/0.60 Found (((satz12 x) y) l) as proof of ((more y) x) % 0.40/0.60 Found (((satz12 x) y) l) as proof of ((more y) x) % 0.40/0.60 Found (satz19a000 (((satz12 x) y) l)) as proof of ((more ((pl y) z)) ((pl x) z)) % 0.40/0.60 Found ((satz19a00 z) (((satz12 x) y) l)) as proof of ((more ((pl y) z)) ((pl x) z)) % 0.40/0.60 Found (((satz19a0 x) z) (((satz12 x) y) l)) as proof of ((more ((pl y) z)) ((pl x) z)) % 0.40/0.60 Found ((((satz19a y) x) z) (((satz12 x) y) l)) as proof of ((more ((pl y) z)) ((pl x) z)) % 0.40/0.60 Found ((((satz19a y) x) z) (((satz12 x) y) l)) as proof of ((more ((pl y) z)) ((pl x) z)) % 0.40/0.60 Found (satz1100 ((((satz19a y) x) z) (((satz12 x) y) l))) as proof of ((less ((pl x) z)) ((pl y) z)) % 0.40/0.60 Found ((satz110 ((pl x) z)) ((((satz19a y) x) z) (((satz12 x) y) l))) as proof of ((less ((pl x) z)) ((pl y) z)) % 0.40/0.60 Found (((satz11 ((pl y) z)) ((pl x) z)) ((((satz19a y) x) z) (((satz12 x) y) l))) as proof of ((less ((pl x) z)) ((pl y) z)) % 0.40/0.60 Found (((satz11 ((pl y) z)) ((pl x) z)) ((((satz19a y) x) z) (((satz12 x) y) l))) as proof of ((less ((pl x) z)) ((pl y) z)) % 0.40/0.60 Got proof (((satz11 ((pl y) z)) ((pl x) z)) ((((satz19a y) x) z) (((satz12 x) y) l))) % 0.40/0.60 Time elapsed = 0.061792s % 0.40/0.60 node=14 cost=193.000000 depth=12 % 0.40/0.60:::::::::::::::::::::: % 0.40/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.40/0.60 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.40/0.60 (((satz11 ((pl y) z)) ((pl x) z)) ((((satz19a y) x) z) (((satz12 x) y) l))) % 0.40/0.60 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------