%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO354^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n007.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 00:51:14 EDT 2022 % Result : Theorem 0.76s 0.98s % Output : Proof 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYO354^5 : TPTP v7.5.0. Released v4.0.0. % 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.34 % Computer : n007.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % RAMPerCPU : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % DateTime : Sat Mar 12 06:16:30 EST 2022 % 0.13/0.34 % CPUTime : % 0.13/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.13/0.35 Python 2.7.5 % 0.76/0.98 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.76/0.98 FOF formula (<kernel.Constant object at 0x1e182d8>, <kernel.DependentProduct object at 0x2b852d89fd40>) of role type named n % 0.76/0.98 Using role type % 0.76/0.98 Declaring n:(fofType->fofType) % 0.76/0.98 FOF formula (<kernel.Constant object at 0x1e13e60>, <kernel.DependentProduct object at 0x2b852d89fcb0>) of role type named m % 0.76/0.98 Using role type % 0.76/0.98 Declaring m:(fofType->fofType) % 0.76/0.98 FOF formula ((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q (fun (X:fofType)=> (m X)))->(Q (fun (X:fofType)=> (n X)))))) of role conjecture named cE4EXT % 0.76/0.98 Conjecture to prove = ((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q (fun (X:fofType)=> (m X)))->(Q (fun (X:fofType)=> (n X)))))):Prop % 0.76/0.98 Parameter fofType_DUMMY:fofType. % 0.76/0.98 We need to prove ['((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q (fun (X:fofType)=> (m X)))->(Q (fun (X:fofType)=> (n X))))))'] % 0.76/0.98 Parameter fofType:Type. % 0.76/0.98 Parameter n:(fofType->fofType). % 0.76/0.98 Parameter m:(fofType->fofType). % 0.76/0.98 Trying to prove ((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q (fun (X:fofType)=> (m X)))->(Q (fun (X:fofType)=> (n X)))))) % 0.76/0.98 Found x:(forall (X:fofType), (((eq fofType) (m X)) (n X))) % 0.76/0.98 Found x as proof of (forall (x:fofType), (((eq fofType) (m x)) (n x))) % 0.76/0.98 Found (functional_extensionality_dep0000 x) as proof of (((eq (fofType->fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) % 0.76/0.98 Found ((functional_extensionality_dep000 (fun (X:fofType)=> (n X))) x) as proof of (((eq (fofType->fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) % 0.76/0.98 Found (((functional_extensionality_dep00 (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) x) as proof of (((eq (fofType->fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) % 0.76/0.98 Found ((((functional_extensionality_dep0 (fun (x2:fofType)=> fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) x) as proof of (((eq (fofType->fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) % 0.76/0.98 Found (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) x) as proof of (((eq (fofType->fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) % 0.76/0.98 Found (fun (x:(forall (X:fofType), (((eq fofType) (m X)) (n X))))=> (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) x)) as proof of (((eq (fofType->fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) % 0.76/0.98 Found (fun (x:(forall (X:fofType), (((eq fofType) (m X)) (n X))))=> (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) x)) as proof of ((forall (X:fofType), (((eq fofType) (m X)) (n X)))->(((eq (fofType->fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X)))) % 0.76/0.98 Found (fun (x:(forall (X:fofType), (((eq fofType) (m X)) (n X))))=> (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) x)) as proof of ((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q (fun (X:fofType)=> (m X)))->(Q (fun (X:fofType)=> (n X)))))) % 0.76/0.98 Got proof (fun (x:(forall (X:fofType), (((eq fofType) (m X)) (n X))))=> (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) x)) % 0.76/0.98 Time elapsed = 0.351561s % 0.76/0.98 node=78 cost=360.000000 depth=8 % 0.76/0.98 :::::::::::::::::::::: % 0.76/0.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.76/0.98 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.76/0.98 (fun (x:(forall (X:fofType), (((eq fofType) (m X)) (n X))))=> (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (X:fofType)=> (m X))) (fun (X:fofType)=> (n X))) x)) % 0.76/0.98 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------