%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO255^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n016.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 00:51:01 EDT 2022 % Result : Theorem 0.58s 0.74s % Output : Proof 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYO255^5 : TPTP v7.5.0. Released v4.0.0. % 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.32 % Computer : n016.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 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % DateTime : Fri Mar 11 22:25:00 EST 2022 % 0.12/0.33 % CPUTime : % 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.34 Python 2.7.5 % 0.58/0.73 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.58/0.73 FOF formula (<kernel.Constant object at 0x1428e18>, <kernel.DependentProduct object at 0x144f368>) of role type named cP % 0.58/0.73 Using role type % 0.58/0.73 Declaring cP:(fofType->Prop) % 0.58/0.73 FOF formula (<kernel.Constant object at 0x1428b00>, <kernel.Single object at 0x1428bd8>) of role type named a % 0.58/0.73 Using role type % 0.58/0.73 Declaring a:fofType % 0.58/0.73 FOF formula ((cP a)->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy))))))) of role conjecture named cBLEDSOE3 % 0.58/0.73 Conjecture to prove = ((cP a)->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy))))))):Prop % 0.58/0.73 We need to prove ['((cP a)->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))))'] % 0.58/0.73 Parameter fofType:Type. % 0.58/0.73 Parameter cP:(fofType->Prop). % 0.58/0.73 Parameter a:fofType. % 0.58/0.73 Trying to prove ((cP a)->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy))))))) % 0.58/0.73 Found x00:(x0 Xx) % 0.58/0.73 Found x00 as proof of (cP Xx) % 0.58/0.73 Found (fun (x00:(x0 Xx))=> x00) as proof of (cP Xx) % 0.58/0.73 Found (fun (Xx:fofType) (x00:(x0 Xx))=> x00) as proof of ((x0 Xx)->(cP Xx)) % 0.58/0.73 Found (fun (Xx:fofType) (x00:(x0 Xx))=> x00) as proof of (forall (Xx:fofType), ((x0 Xx)->(cP Xx))) % 0.58/0.73 Found ex_intro1000:=(ex_intro100 x):((ex fofType) (fun (Xy:fofType)=> (x0 Xy))) % 0.58/0.73 Found (ex_intro100 x) as proof of ((ex fofType) (fun (Xy:fofType)=> (x0 Xy))) % 0.58/0.73 Found ((ex_intro10 a) x) as proof of ((ex fofType) (fun (Xy:fofType)=> (x0 Xy))) % 0.58/0.73 Found (((ex_intro1 (fun (Xy:fofType)=> (x0 Xy))) a) x) as proof of ((ex fofType) (fun (Xy:fofType)=> (x0 Xy))) % 0.58/0.73 Found ((((ex_intro fofType) (fun (Xy:fofType)=> (x0 Xy))) a) x) as proof of ((ex fofType) (fun (Xy:fofType)=> (x0 Xy))) % 0.58/0.73 Found ((((ex_intro fofType) (fun (Xy:fofType)=> (x0 Xy))) a) x) as proof of ((ex fofType) (fun (Xy:fofType)=> (x0 Xy))) % 0.58/0.73 Found ((conj00 (fun (Xx:fofType) (x00:(x0 Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> (x0 Xy))) a) x)) as proof of ((and (forall (Xx:fofType), ((x0 Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (x0 Xy)))) % 0.58/0.73 Found (((conj0 ((ex fofType) (fun (Xy:fofType)=> (x0 Xy)))) (fun (Xx:fofType) (x00:(x0 Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> (x0 Xy))) a) x)) as proof of ((and (forall (Xx:fofType), ((x0 Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (x0 Xy)))) % 0.58/0.73 Found ((((conj (forall (Xx:fofType), ((x0 Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (x0 Xy)))) (fun (Xx:fofType) (x00:(x0 Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> (x0 Xy))) a) x)) as proof of ((and (forall (Xx:fofType), ((x0 Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (x0 Xy)))) % 0.58/0.73 Found ((((conj (forall (Xx:fofType), ((x0 Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (x0 Xy)))) (fun (Xx:fofType) (x00:(x0 Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> (x0 Xy))) a) x)) as proof of ((and (forall (Xx:fofType), ((x0 Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (x0 Xy)))) % 0.58/0.73 Found (ex_intro000 ((((conj (forall (Xx:fofType), ((x0 Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (x0 Xy)))) (fun (Xx:fofType) (x00:(x0 Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> (x0 Xy))) a) x))) as proof of ((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) % 0.58/0.73 Found ((ex_intro00 (fun (a0:fofType)=> (cP a0))) ((((conj (forall (Xx:fofType), (((fun (a0:fofType)=> (cP a0)) Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy)))) (fun (Xx:fofType) (x00:((fun (a0:fofType)=> (cP a0)) Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy))) a) x))) as proof of ((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) % 0.58/0.73 Found (((ex_intro0 (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) (fun (a0:fofType)=> (cP a0))) ((((conj (forall (Xx:fofType), (((fun (a0:fofType)=> (cP a0)) Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy)))) (fun (Xx:fofType) (x00:((fun (a0:fofType)=> (cP a0)) Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy))) a) x))) as proof of ((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) % 0.58/0.74 Found ((((ex_intro (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) (fun (a0:fofType)=> (cP a0))) ((((conj (forall (Xx:fofType), (((fun (a0:fofType)=> (cP a0)) Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy)))) (fun (Xx:fofType) (x00:((fun (a0:fofType)=> (cP a0)) Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy))) a) x))) as proof of ((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) % 0.58/0.74 Found (fun (x:(cP a))=> ((((ex_intro (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) (fun (a0:fofType)=> (cP a0))) ((((conj (forall (Xx:fofType), (((fun (a0:fofType)=> (cP a0)) Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy)))) (fun (Xx:fofType) (x00:((fun (a0:fofType)=> (cP a0)) Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy))) a) x)))) as proof of ((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) % 0.58/0.74 Found (fun (x:(cP a))=> ((((ex_intro (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) (fun (a0:fofType)=> (cP a0))) ((((conj (forall (Xx:fofType), (((fun (a0:fofType)=> (cP a0)) Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy)))) (fun (Xx:fofType) (x00:((fun (a0:fofType)=> (cP a0)) Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy))) a) x)))) as proof of ((cP a)->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy))))))) % 0.58/0.74 Got proof (fun (x:(cP a))=> ((((ex_intro (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) (fun (a0:fofType)=> (cP a0))) ((((conj (forall (Xx:fofType), (((fun (a0:fofType)=> (cP a0)) Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy)))) (fun (Xx:fofType) (x00:((fun (a0:fofType)=> (cP a0)) Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy))) a) x)))) % 0.58/0.74 Time elapsed = 0.120790s % 0.58/0.74 node=22 cost=711.000000 depth=14 % 0.58/0.74 :::::::::::::::::::::: % 0.58/0.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.58/0.74 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.58/0.74 (fun (x:(cP a))=> ((((ex_intro (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xx:fofType), ((A Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> (A Xy)))))) (fun (a0:fofType)=> (cP a0))) ((((conj (forall (Xx:fofType), (((fun (a0:fofType)=> (cP a0)) Xx)->(cP Xx)))) ((ex fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy)))) (fun (Xx:fofType) (x00:((fun (a0:fofType)=> (cP a0)) Xx))=> x00)) ((((ex_intro fofType) (fun (Xy:fofType)=> ((fun (a0:fofType)=> (cP a0)) Xy))) a) x)))) % 0.58/0.74 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------