%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU783^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n097.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 13:33:06 EDT 2014 % Result : Theorem 0.43s % Output : Proof 0.43s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU783^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n097.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 11:27:36 CDT 2014 % % CPUTime : 0.43 % 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 0x1c18440>, <kernel.DependentProduct object at 0x1c18bd8>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1c19440>, <kernel.DependentProduct object at 0x1c18bd8>) of role type named binunion_type % Using role type % Declaring binunion:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x1c18560>, <kernel.Sort object at 0x1702e60>) of role type named binunionIL_type % Using role type % Declaring binunionIL:Prop % FOF formula (((eq Prop) binunionIL) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in Xx) ((binunion A) B))))) of role definition named binunionIL % A new definition: (((eq Prop) binunionIL) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in Xx) ((binunion A) B))))) % Defined: binunionIL:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in Xx) ((binunion A) B)))) % FOF formula (<kernel.Constant object at 0x1c18ef0>, <kernel.DependentProduct object at 0x1c18098>) of role type named kpair_type % Using role type % Declaring kpair:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x1c180e0>, <kernel.DependentProduct object at 0x1c18440>) of role type named breln1_type % Using role type % Declaring breln1:(fofType->(fofType->Prop)) % FOF formula (binunionIL->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S)))))))))))) of role conjecture named breln1unionIL % Conjecture to prove = (binunionIL->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S)))))))))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(binunionIL->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))))))))))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter binunion:(fofType->(fofType->fofType)). % Definition binunionIL:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in Xx) ((binunion A) B)))):Prop. % Parameter kpair:(fofType->(fofType->fofType)). % Parameter breln1:(fofType->(fofType->Prop)). % Trying to prove (binunionIL->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S)))))))))))) % Found x400:=(x40 ((kpair Xx) Xy)):(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))) % Found (x40 ((kpair Xx) Xy)) as proof of (((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))) % Found ((x4 S) ((kpair Xx) Xy)) as proof of (((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))) % Found (((x R) S) ((kpair Xx) Xy)) as proof of (((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))) % Found (fun (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))) % Found (fun (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S)))) % Found (fun (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))))) % Found (fun (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S)))))) % Found (fun (x1:((breln1 A) S)) (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))))))) % Found (fun (S:fofType) (x1:((breln1 A) S)) (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S)))))))) % Found (fun (x0:((breln1 A) R)) (S:fofType) (x1:((breln1 A) S)) (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))))))))) % Found (fun (R:fofType) (x0:((breln1 A) R)) (S:fofType) (x1:((breln1 A) S)) (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S)))))))))) % Found (fun (A:fofType) (R:fofType) (x0:((breln1 A) R)) (S:fofType) (x1:((breln1 A) S)) (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (forall (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))))))))))) % Found (fun (x:binunionIL) (A:fofType) (R:fofType) (x0:((breln1 A) R)) (S:fofType) (x1:((breln1 A) S)) (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S))))))))))) % Found (fun (x:binunionIL) (A:fofType) (R:fofType) (x0:((breln1 A) R)) (S:fofType) (x1:((breln1 A) S)) (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) as proof of (binunionIL->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) R)->((in ((kpair Xx) Xy)) ((binunion R) S)))))))))))) % Got proof (fun (x:binunionIL) (A:fofType) (R:fofType) (x0:((breln1 A) R)) (S:fofType) (x1:((breln1 A) S)) (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) % Time elapsed = 0.110861s % node=14 cost=-195.000000 depth=13 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:binunionIL) (A:fofType) (R:fofType) (x0:((breln1 A) R)) (S:fofType) (x1:((breln1 A) S)) (Xx:fofType) (x2:((in Xx) A)) (Xy:fofType) (x3:((in Xy) A))=> (((x R) S) ((kpair Xx) Xy))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF 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