%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO281^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n004.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 00:51:04 EDT 2022 % Result : Theorem 0.46s 0.71s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SYO281^5 : TPTP v7.5.0. Released v4.0.0. % 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n004.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 00:31:55 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 % 0.46/0.71 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.46/0.71 FOF formula (forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))) of role conjecture named cTRIV3 % 0.46/0.71 Conjecture to prove = (forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))):Prop % 0.46/0.71 Parameter fofType_DUMMY:fofType. % 0.46/0.71 We need to prove ['(forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))))'] % 0.46/0.71 Parameter fofType:Type. % 0.46/0.71 Trying to prove (forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))) % 0.46/0.71 Found x0:(Xp Xx) % 0.46/0.71 Instantiate: x:=Xp:(fofType->Prop) % 0.46/0.71 Found (fun (x0:(Xp Xx))=> x0) as proof of (x Xx) % 0.46/0.71 Found (fun (Xx:fofType) (x0:(Xp Xx))=> x0) as proof of ((Xp Xx)->(x Xx)) % 0.46/0.71 Found (fun (Xx:fofType) (x0:(Xp Xx))=> x0) as proof of (forall (Xx:fofType), ((Xp Xx)->(x Xx))) % 0.46/0.71 Found (ex_intro000 (fun (Xx:fofType) (x0:(Xp Xx))=> x0)) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) % 0.46/0.71 Found ((ex_intro00 Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0)) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) % 0.46/0.71 Found (((ex_intro0 (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0)) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) % 0.46/0.71 Found ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0)) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) % 0.46/0.71 Found (fun (Xp:(fofType->Prop))=> ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) % 0.46/0.71 Found (fun (Xp:(fofType->Prop))=> ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0))) as proof of (forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))) % 0.46/0.71 Got proof (fun (Xp:(fofType->Prop))=> ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0))) % 0.46/0.71 Time elapsed = 0.084686s % 0.46/0.71 node=8 cost=230.000000 depth=8 % 0.46/0.71 :::::::::::::::::::::: % 0.46/0.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.46/0.71 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.46/0.71 (fun (Xp:(fofType->Prop))=> ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0))) % 0.46/0.71 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------