%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO286^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n001.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 00:51:05 EDT 2022 % Result : Theorem 0.48s 0.64s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYO286^5 : TPTP v7.5.0. Released v4.0.0. % 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n001.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % RAMPerCPU : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % DateTime : Sat Mar 12 01:07:12 EST 2022 % 0.12/0.33 % CPUTime : % 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.34 Python 2.7.5 % 0.48/0.64 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.48/0.64 FOF formula (<kernel.Constant object at 0x2400950>, <kernel.Constant object at 0x2400050>) of role type named y % 0.48/0.64 Using role type % 0.48/0.64 Declaring y:fofType % 0.48/0.64 FOF formula (<kernel.Constant object at 0x2405488>, <kernel.DependentProduct object at 0x2400e60>) of role type named cQ % 0.48/0.64 Using role type % 0.48/0.64 Declaring cQ:(fofType->Prop) % 0.48/0.64 FOF formula (<kernel.Constant object at 0x2400950>, <kernel.DependentProduct object at 0x24008c0>) of role type named cR % 0.48/0.64 Using role type % 0.48/0.64 Declaring cR:(fofType->Prop) % 0.48/0.64 FOF formula ((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y))) of role conjecture named cTEST1 % 0.48/0.64 Conjecture to prove = ((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y))):Prop % 0.48/0.64 We need to prove ['((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y)))'] % 0.48/0.64 Parameter fofType:Type. % 0.48/0.64 Parameter y:fofType. % 0.48/0.64 Parameter cQ:(fofType->Prop). % 0.48/0.64 Parameter cR:(fofType->Prop). % 0.48/0.64 Trying to prove ((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y))) % 0.48/0.64 Found x0:=(x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0)))):(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y)) % 0.48/0.64 Found (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0)))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y)) % 0.48/0.64 Found (fun (x:(forall (Xp:(fofType->Prop)), (Xp y)))=> (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0))))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y)) % 0.48/0.64 Found (fun (x:(forall (Xp:(fofType->Prop)), (Xp y)))=> (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0))))) as proof of ((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y))) % 0.48/0.64 Got proof (fun (x:(forall (Xp:(fofType->Prop)), (Xp y)))=> (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0))))) % 0.48/0.64 Time elapsed = 0.036607s % 0.48/0.64 node=3 cost=-94.000000 depth=2 % 0.48/0.64 :::::::::::::::::::::: % 0.48/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.48/0.64 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.48/0.64 (fun (x:(forall (Xp:(fofType->Prop)), (Xp y)))=> (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0))))) % 0.48/0.64 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------