%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU769^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n180.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 13:33:04 EDT 2014 % Result : Theorem 0.40s % Output : Proof 0.40s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU769^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n180.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 11:25:56 CDT 2014 % % CPUTime : 0.40 % 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 0x243e8c0>, <kernel.DependentProduct object at 0x2006b90>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x2437710>, <kernel.DependentProduct object at 0x2006d88>) of role type named powerset_type % Using role type % Declaring powerset:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x243eb00>, <kernel.DependentProduct object at 0x2006dd0>) of role type named dsetconstr_type % Using role type % Declaring dsetconstr:(fofType->((fofType->Prop)->fofType)) % FOF formula (<kernel.Constant object at 0x243ea28>, <kernel.Sort object at 0x1ecb3f8>) of role type named dsetconstrER_type % Using role type % Declaring dsetconstrER:Prop % FOF formula (((eq Prop) dsetconstrER) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx)))) of role definition named dsetconstrER % A new definition: (((eq Prop) dsetconstrER) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx)))) % Defined: dsetconstrER:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx))) % FOF formula (<kernel.Constant object at 0x243ea28>, <kernel.DependentProduct object at 0x2006bd8>) of role type named subset_type % Using role type % Declaring subset:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x243e8c0>, <kernel.DependentProduct object at 0x2006d88>) of role type named cartprod_type % Using role type % Declaring cartprod:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x243e8c0>, <kernel.DependentProduct object at 0x20068c0>) of role type named breln_type % Using role type % Declaring breln:(fofType->(fofType->(fofType->Prop))) % FOF formula (((eq (fofType->(fofType->(fofType->Prop)))) breln) (fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B)))) of role definition named breln % A new definition: (((eq (fofType->(fofType->(fofType->Prop)))) breln) (fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B)))) % Defined: breln:=(fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B))) % FOF formula (<kernel.Constant object at 0x20068c0>, <kernel.DependentProduct object at 0x2006758>) of role type named breln1_type % Using role type % Declaring breln1:(fofType->(fofType->Prop)) % FOF formula (((eq (fofType->(fofType->Prop))) breln1) (fun (A:fofType) (R:fofType)=> (((breln A) A) R))) of role definition named breln1 % A new definition: (((eq (fofType->(fofType->Prop))) breln1) (fun (A:fofType) (R:fofType)=> (((breln A) A) R))) % Defined: breln1:=(fun (A:fofType) (R:fofType)=> (((breln A) A) R)) % FOF formula (<kernel.Constant object at 0x2006758>, <kernel.DependentProduct object at 0x2006b48>) of role type named breln1Set_type % Using role type % Declaring breln1Set:(fofType->fofType) % FOF formula (((eq (fofType->fofType)) breln1Set) (fun (A:fofType)=> ((dsetconstr (powerset ((cartprod A) A))) (fun (R:fofType)=> ((breln1 A) R))))) of role definition named breln1Set % A new definition: (((eq (fofType->fofType)) breln1Set) (fun (A:fofType)=> ((dsetconstr (powerset ((cartprod A) A))) (fun (R:fofType)=> ((breln1 A) R))))) % Defined: breln1Set:=(fun (A:fofType)=> ((dsetconstr (powerset ((cartprod A) A))) (fun (R:fofType)=> ((breln1 A) R)))) % FOF formula (dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))) of role conjecture named breln1SetBreln1 % Conjecture to prove = (dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter powerset:(fofType->fofType). % Parameter dsetconstr:(fofType->((fofType->Prop)->fofType)). % Definition dsetconstrER:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx))):Prop. % Parameter subset:(fofType->(fofType->Prop)). % Parameter cartprod:(fofType->(fofType->fofType)). % Definition breln:=(fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B))):(fofType->(fofType->(fofType->Prop))). % Definition breln1:=(fun (A:fofType) (R:fofType)=> (((breln A) A) R)):(fofType->(fofType->Prop)). % Definition breln1Set:=(fun (A:fofType)=> ((dsetconstr (powerset ((cartprod A) A))) (fun (R:fofType)=> ((breln1 A) R)))):(fofType->fofType). % Trying to prove (dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))) % Found x00:=(x0 (breln1 A)):(forall (Xx:fofType), (((in Xx) ((dsetconstr (powerset ((cartprod A) A))) (fun (Xy:fofType)=> ((breln1 A) Xy))))->((breln1 A) Xx))) % Found (x0 (breln1 A)) as proof of (forall (R:fofType), (((in R) (breln1Set A))->((breln1 A) R))) % Found ((x (powerset ((cartprod A) A))) (breln1 A)) as proof of (forall (R:fofType), (((in R) (breln1Set A))->((breln1 A) R))) % Found (fun (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A))) as proof of (forall (R:fofType), (((in R) (breln1Set A))->((breln1 A) R))) % Found (fun (x:dsetconstrER) (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A))) as proof of (forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R))) % Found (fun (x:dsetconstrER) (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A))) as proof of (dsetconstrER->(forall (A:fofType) (R:fofType), (((in R) (breln1Set A))->((breln1 A) R)))) % Got proof (fun (x:dsetconstrER) (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A))) % Time elapsed = 0.071437s % node=6 cost=-184.000000 depth=4 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:dsetconstrER) (A:fofType)=> ((x (powerset ((cartprod A) A))) (breln1 A))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------