%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO306^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n022.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 00:51:08 EDT 2022 % Result : Theorem 0.51s 0.72s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYO306^5 : TPTP v7.5.0. Released v4.0.0. % 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.32 % Computer : n022.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % RAMPerCPU : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % DateTime : Sat Mar 12 02:30:57 EST 2022 % 0.11/0.32 % CPUTime : % 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.11/0.33 Python 2.7.5 % 0.51/0.72 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.51/0.72 FOF formula (<kernel.Constant object at 0x253a488>, <kernel.DependentProduct object at 0x2b735b6875f0>) of role type named cT % 0.51/0.72 Using role type % 0.51/0.72 Declaring cT:(fofType->Prop) % 0.51/0.72 FOF formula (<kernel.Constant object at 0x253a0e0>, <kernel.DependentProduct object at 0x2b735b687d40>) of role type named cS % 0.51/0.72 Using role type % 0.51/0.72 Declaring cS:(fofType->Prop) % 0.51/0.72 FOF formula ((forall (P:(fofType->Prop)), ((forall (Xx:fofType), (P Xx))->(forall (Xx:fofType), (P Xx))))->((forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))->(forall (Xx:fofType), ((and (cS Xx)) (cT Xx))))) of role conjecture named cDUP_BUG_2 % 0.51/0.72 Conjecture to prove = ((forall (P:(fofType->Prop)), ((forall (Xx:fofType), (P Xx))->(forall (Xx:fofType), (P Xx))))->((forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))->(forall (Xx:fofType), ((and (cS Xx)) (cT Xx))))):Prop % 0.51/0.72 Parameter fofType_DUMMY:fofType. % 0.51/0.72 We need to prove ['((forall (P:(fofType->Prop)), ((forall (Xx:fofType), (P Xx))->(forall (Xx:fofType), (P Xx))))->((forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))->(forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))))'] % 0.51/0.72 Parameter fofType:Type. % 0.51/0.72 Parameter cT:(fofType->Prop). % 0.51/0.72 Parameter cS:(fofType->Prop). % 0.51/0.72 Trying to prove ((forall (P:(fofType->Prop)), ((forall (Xx:fofType), (P Xx))->(forall (Xx:fofType), (P Xx))))->((forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))->(forall (Xx:fofType), ((and (cS Xx)) (cT Xx))))) % 0.51/0.72 Found x0:=(x (fun (x1:fofType)=> ((and (cS x1)) (cT x1)))):((forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))->(forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))) % 0.51/0.72 Found (x (fun (x1:fofType)=> ((and (cS x1)) (cT x1)))) as proof of ((forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))->(forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))) % 0.51/0.72 Found (fun (x:(forall (P:(fofType->Prop)), ((forall (Xx:fofType), (P Xx))->(forall (Xx:fofType), (P Xx)))))=> (x (fun (x1:fofType)=> ((and (cS x1)) (cT x1))))) as proof of ((forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))->(forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))) % 0.51/0.72 Found (fun (x:(forall (P:(fofType->Prop)), ((forall (Xx:fofType), (P Xx))->(forall (Xx:fofType), (P Xx)))))=> (x (fun (x1:fofType)=> ((and (cS x1)) (cT x1))))) as proof of ((forall (P:(fofType->Prop)), ((forall (Xx:fofType), (P Xx))->(forall (Xx:fofType), (P Xx))))->((forall (Xx:fofType), ((and (cS Xx)) (cT Xx)))->(forall (Xx:fofType), ((and (cS Xx)) (cT Xx))))) % 0.51/0.72 Got proof (fun (x:(forall (P:(fofType->Prop)), ((forall (Xx:fofType), (P Xx))->(forall (Xx:fofType), (P Xx)))))=> (x (fun (x1:fofType)=> ((and (cS x1)) (cT x1))))) % 0.51/0.72 Time elapsed = 0.051696s % 0.51/0.72 node=3 cost=-94.000000 depth=2 % 0.51/0.72 :::::::::::::::::::::: % 0.51/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.51/0.72 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.51/0.72 (fun (x:(forall (P:(fofType->Prop)), ((forall (Xx:fofType), (P Xx))->(forall (Xx:fofType), (P Xx)))))=> (x (fun (x1:fofType)=> ((and (cS x1)) (cT x1))))) % 0.51/0.72 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------