%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO355^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n027.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 0.82s 0.98s % Output : Proof 0.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYO355^5 : TPTP v7.5.0. Released v4.0.0. % 0.06/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.32 % Computer : n027.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 : Sat Mar 12 06:52:42 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 % 0.82/0.98 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.82/0.98 FOF formula ((forall (Xa:fofType) (Xb:fofType), (((eq fofType) Xa) Xb))->(forall (Xf:(fofType->fofType)) (Xg:(fofType->fofType)), (((eq (fofType->fofType)) Xf) Xg))) of role conjecture named cTHM613 % 0.82/0.98 Conjecture to prove = ((forall (Xa:fofType) (Xb:fofType), (((eq fofType) Xa) Xb))->(forall (Xf:(fofType->fofType)) (Xg:(fofType->fofType)), (((eq (fofType->fofType)) Xf) Xg))):Prop % 0.82/0.98 Parameter fofType_DUMMY:fofType. % 0.82/0.98 We need to prove ['((forall (Xa:fofType) (Xb:fofType), (((eq fofType) Xa) Xb))->(forall (Xf:(fofType->fofType)) (Xg:(fofType->fofType)), (((eq (fofType->fofType)) Xf) Xg)))'] % 0.82/0.98 Parameter fofType:Type. % 0.82/0.98 Trying to prove ((forall (Xa:fofType) (Xb:fofType), (((eq fofType) Xa) Xb))->(forall (Xf:(fofType->fofType)) (Xg:(fofType->fofType)), (((eq (fofType->fofType)) Xf) Xg))) % 0.82/0.98 Found x10:=(x1 (Xg x0)):(((eq fofType) (Xf x0)) (Xg x0)) % 0.82/0.98 Found (x1 (Xg x0)) as proof of (((eq fofType) (Xf x0)) (Xg x0)) % 0.82/0.98 Found ((x (Xf x0)) (Xg x0)) as proof of (((eq fofType) (Xf x0)) (Xg x0)) % 0.82/0.98 Found (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0))) as proof of (((eq fofType) (Xf x0)) (Xg x0)) % 0.82/0.98 Found (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0))) as proof of (forall (x:fofType), (((eq fofType) (Xf x)) (Xg x))) % 0.82/0.98 Found (functional_extensionality0000 (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0)))) as proof of (((eq (fofType->fofType)) Xf) Xg) % 0.82/0.98 Found ((functional_extensionality000 Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0)))) as proof of (((eq (fofType->fofType)) Xf) Xg) % 0.82/0.98 Found (((functional_extensionality00 Xf) Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0)))) as proof of (((eq (fofType->fofType)) Xf) Xg) % 0.82/0.98 Found ((((functional_extensionality0 fofType) Xf) Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0)))) as proof of (((eq (fofType->fofType)) Xf) Xg) % 0.82/0.98 Found (((((functional_extensionality fofType) fofType) Xf) Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0)))) as proof of (((eq (fofType->fofType)) Xf) Xg) % 0.82/0.98 Found (fun (Xg:(fofType->fofType))=> (((((functional_extensionality fofType) fofType) Xf) Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0))))) as proof of (((eq (fofType->fofType)) Xf) Xg) % 0.82/0.98 Found (fun (Xf:(fofType->fofType)) (Xg:(fofType->fofType))=> (((((functional_extensionality fofType) fofType) Xf) Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0))))) as proof of (forall (Xg:(fofType->fofType)), (((eq (fofType->fofType)) Xf) Xg)) % 0.82/0.98 Found (fun (x:(forall (Xa:fofType) (Xb:fofType), (((eq fofType) Xa) Xb))) (Xf:(fofType->fofType)) (Xg:(fofType->fofType))=> (((((functional_extensionality fofType) fofType) Xf) Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0))))) as proof of (forall (Xf:(fofType->fofType)) (Xg:(fofType->fofType)), (((eq (fofType->fofType)) Xf) Xg)) % 0.82/0.98 Found (fun (x:(forall (Xa:fofType) (Xb:fofType), (((eq fofType) Xa) Xb))) (Xf:(fofType->fofType)) (Xg:(fofType->fofType))=> (((((functional_extensionality fofType) fofType) Xf) Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0))))) as proof of ((forall (Xa:fofType) (Xb:fofType), (((eq fofType) Xa) Xb))->(forall (Xf:(fofType->fofType)) (Xg:(fofType->fofType)), (((eq (fofType->fofType)) Xf) Xg))) % 0.82/0.98 Got proof (fun (x:(forall (Xa:fofType) (Xb:fofType), (((eq fofType) Xa) Xb))) (Xf:(fofType->fofType)) (Xg:(fofType->fofType))=> (((((functional_extensionality fofType) fofType) Xf) Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0))))) % 0.82/0.98 Time elapsed = 0.378471s % 0.82/0.98 node=86 cost=10.000000 depth=12 % 0.82/0.98 :::::::::::::::::::::: % 0.82/0.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.82/0.98 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.82/0.98 (fun (x:(forall (Xa:fofType) (Xb:fofType), (((eq fofType) Xa) Xb))) (Xf:(fofType->fofType)) (Xg:(fofType->fofType))=> (((((functional_extensionality fofType) fofType) Xf) Xg) (fun (x0:fofType)=> ((x (Xf x0)) (Xg x0))))) % 0.82/0.98 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------