%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO140^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n013.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 00:50:44 EDT 2022 % Result : Theorem 0.55s 0.75s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYO140^5 : TPTP v7.5.0. Released v4.0.0. % 0.06/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.32 % Computer : n013.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 16:17:52 EST 2022 % 0.12/0.32 % CPUTime : % 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.33 Python 2.7.5 % 0.55/0.75 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.55/0.75 FOF formula (<kernel.Constant object at 0xd8dc68>, <kernel.DependentProduct object at 0xd8d248>) of role type named cQ % 0.55/0.75 Using role type % 0.55/0.75 Declaring cQ:(fofType->Prop) % 0.55/0.75 FOF formula (<kernel.Constant object at 0xd91c20>, <kernel.DependentProduct object at 0xd8dab8>) of role type named cP % 0.55/0.75 Using role type % 0.55/0.75 Declaring cP:(fofType->Prop) % 0.55/0.75 FOF formula (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx))))) of role conjecture named cADDHYP6 % 0.55/0.75 Conjecture to prove = (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx))))):Prop % 0.55/0.75 Parameter fofType_DUMMY:fofType. % 0.55/0.75 We need to prove ['(((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))))'] % 0.55/0.75 Parameter fofType:Type. % 0.55/0.75 Parameter cQ:(fofType->Prop). % 0.55/0.75 Parameter cP:(fofType->Prop). % 0.55/0.75 Trying to prove (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx))))) % 0.55/0.75 Found x00:=(x0 x2):((cP x2)->(cQ x2)) % 0.55/0.75 Found (x0 x2) as proof of ((cP x2)->(cQ x1)) % 0.55/0.75 Found (x0 x2) as proof of ((cP x2)->(cQ x1)) % 0.55/0.75 Found x2:(cP x1) % 0.55/0.75 Instantiate: x3:=x1:fofType % 0.55/0.75 Found x2 as proof of (cP x3) % 0.55/0.75 Found (x00 x2) as proof of (cQ x3) % 0.55/0.75 Found ((x0 x3) x2) as proof of (cQ x3) % 0.55/0.75 Found ((x0 x3) x2) as proof of (cQ x3) % 0.55/0.75 Found (ex_intro000 ((x0 x3) x2)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx))) % 0.55/0.75 Found ((ex_intro00 x1) ((x0 x1) x2)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx))) % 0.55/0.75 Found (((ex_intro0 (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx))) % 0.55/0.75 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx))) % 0.55/0.75 Found (fun (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx))) % 0.55/0.75 Found (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))) as proof of ((cP x1)->((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) % 0.55/0.75 Found (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))) as proof of (forall (x:fofType), ((cP x)->((ex fofType) (fun (Xx:fofType)=> (cQ Xx))))) % 0.55/0.75 Found (ex_ind00 (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx))) % 0.55/0.75 Found ((ex_ind0 ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx))) % 0.55/0.75 Found (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx))) % 0.55/0.75 Found (fun (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx))) % 0.55/0.75 Found (fun (x:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))))) as proof of ((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) % 0.55/0.75 Found (fun (x:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx))))) % 0.55/0.75 Got proof (fun (x:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))))) % 0.55/0.75 Time elapsed = 0.161591s % 0.55/0.75 node=32 cost=387.000000 depth=16 % 0.55/0.75 :::::::::::::::::::::: % 0.55/0.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.55/0.75 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.55/0.75 (fun (x:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))))) % 0.55/0.75 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------