%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO081^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 0s % DateTime : Tue Mar 29 00:50:37 EDT 2022 % Result : Theorem 0.47s 0.65s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYO081^5 : TPTP v7.5.0. Released v4.0.0. % 0.12/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.32 % Computer : n019.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % RAMPerCPU : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % DateTime : Fri Mar 11 14:34:42 EST 2022 % 0.12/0.33 % CPUTime : % 0.18/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.18/0.34 Python 2.7.5 % 0.47/0.65 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.47/0.65 FOF formula (<kernel.Constant object at 0x1ed8758>, <kernel.Constant object at 0x1ed8518>) of role type named cB % 0.47/0.65 Using role type % 0.47/0.65 Declaring cB:fofType % 0.47/0.65 FOF formula (<kernel.Constant object at 0x1edcef0>, <kernel.DependentProduct object at 0x1ed8518>) of role type named cR % 0.47/0.65 Using role type % 0.47/0.65 Declaring cR:(fofType->(fofType->Prop)) % 0.47/0.65 FOF formula (<kernel.Constant object at 0x1ed8488>, <kernel.Single object at 0x1ed8248>) of role type named cA % 0.47/0.65 Using role type % 0.47/0.65 Declaring cA:fofType % 0.47/0.65 FOF formula ((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))) of role conjecture named cTHM137 % 0.47/0.65 Conjecture to prove = ((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))):Prop % 0.47/0.65 We need to prove ['((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y))))'] % 0.47/0.65 Parameter fofType:Type. % 0.47/0.65 Parameter cB:fofType. % 0.47/0.65 Parameter cR:(fofType->(fofType->Prop)). % 0.47/0.65 Parameter cA:fofType. % 0.47/0.65 Trying to prove ((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))) % 0.47/0.65 Found x1:=(x cB):((cR cB) cA) % 0.47/0.65 Found (x cB) as proof of ((cR cB) x0) % 0.47/0.65 Found (x cB) as proof of ((cR cB) x0) % 0.47/0.65 Found (x cB) as proof of ((cR cB) x0) % 0.47/0.65 Found (ex_intro000 (x cB)) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y))) % 0.47/0.65 Found ((ex_intro00 cA) (x cB)) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y))) % 0.47/0.65 Found (((ex_intro0 (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB)) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y))) % 0.47/0.65 Found ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB)) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y))) % 0.47/0.65 Found (fun (x:(forall (X:fofType), ((cR X) cA)))=> ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB))) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y))) % 0.47/0.65 Found (fun (x:(forall (X:fofType), ((cR X) cA)))=> ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB))) as proof of ((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))) % 0.47/0.65 Got proof (fun (x:(forall (X:fofType), ((cR X) cA)))=> ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB))) % 0.47/0.65 Time elapsed = 0.042269s % 0.47/0.65 node=8 cost=130.000000 depth=8 % 0.47/0.65 :::::::::::::::::::::: % 0.47/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.47/0.65 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.47/0.65 (fun (x:(forall (X:fofType), ((cR X) cA)))=> ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB))) % 0.47/0.65 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------