%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYN999^1 : TPTP v7.5.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n032.cluster.edu---x86_64 x86_64--- ------Linux 3.10.0-693.el7.x86_64 % Model : Unavailable % CPU : Unavailable % Memory : Unavailable % OS : Unavailable % CPULimit : 300s % WCLimit : 0s % DateTime : Mon Mar 28 13:41:30 EDT 2022 % Result : Theorem 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.08 % Problem : SYN999^1 : TPTP v7.5.0. Released v3.7.0. % 0.05/0.09 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.28 % Computer : n032.cluster.edu % 0.08/0.28 % Model : x86_64 x86_64 % 0.08/0.28 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.28 % RAMPerCPU : 8042.1875MB % 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.28 % CPULimit : 300 % 0.08/0.28 % DateTime : Thu Mar 10 22:33:46 EST 2022 % 0.08/0.28 % CPUTime : % 0.08/0.29 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.08/0.30 Python 2.7.5 % 0.45/0.68 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.45/0.68 FOF formula (<kernel.Constant object at 0x277d1b8>, <kernel.DependentProduct object at 0x2a1add0>) of role type named leibeq_decl % 0.45/0.68 Using role type % 0.45/0.68 Declaring leibeq:(fofType->(fofType->Prop)) % 0.45/0.68 FOF formula (((eq (fofType->(fofType->Prop))) leibeq) (fun (X:fofType) (Y:fofType)=> (forall (P:(fofType->Prop)), ((P X)->(P Y))))) of role definition named leibeq % 0.45/0.68 A new definition: (((eq (fofType->(fofType->Prop))) leibeq) (fun (X:fofType) (Y:fofType)=> (forall (P:(fofType->Prop)), ((P X)->(P Y))))) % 0.45/0.68 Defined: leibeq:=(fun (X:fofType) (Y:fofType)=> (forall (P:(fofType->Prop)), ((P X)->(P Y)))) % 0.45/0.68 FOF formula (forall (X:fofType) (Y:fofType), (((leibeq X) Y)->((leibeq Y) X))) of role conjecture named conj % 0.45/0.68 Conjecture to prove = (forall (X:fofType) (Y:fofType), (((leibeq X) Y)->((leibeq Y) X))):Prop % 0.45/0.68 Parameter fofType_DUMMY:fofType. % 0.45/0.68 We need to prove ['(forall (X:fofType) (Y:fofType), (((leibeq X) Y)->((leibeq Y) X)))'] % 0.45/0.68 Parameter fofType:Type. % 0.45/0.68 Definition leibeq:=(fun (X:fofType) (Y:fofType)=> (forall (P:(fofType->Prop)), ((P X)->(P Y)))):(fofType->(fofType->Prop)). % 0.45/0.68 Trying to prove (forall (X:fofType) (Y:fofType), (((leibeq X) Y)->((leibeq Y) X))) % 0.45/0.68 Found eq_sym0:=(eq_sym fofType):(forall (a:fofType) (b:fofType), ((((eq fofType) a) b)->(((eq fofType) b) a))) % 0.45/0.68 Found (eq_sym fofType) as proof of (forall (X:fofType) (Y:fofType), ((((eq fofType) X) Y)->(((eq fofType) Y) X))) % 0.45/0.68 Found (eq_sym fofType) as proof of (forall (X:fofType) (Y:fofType), ((((eq fofType) X) Y)->(((eq fofType) Y) X))) % 0.45/0.68 Found (eq_sym fofType) as proof of (forall (X:fofType) (Y:fofType), (((leibeq X) Y)->((leibeq Y) X))) % 0.45/0.68 Got proof (eq_sym fofType) % 0.45/0.68 Time elapsed = 0.072800s % 0.45/0.68 node=17 cost=-39.000000 depth=2 % 0.45/0.68 :::::::::::::::::::::: % 0.45/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.45/0.68 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.45/0.68 (eq_sym fofType) % 0.45/0.68 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------