%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO289^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n025.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 00:51:05 EDT 2022 % Result : Theorem 0.50s 0.68s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYO289^5 : TPTP v7.5.0. Released v4.0.0. % 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n025.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 01:13:16 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' % 0.12/0.35 Python 2.7.5 % 0.50/0.68 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.50/0.68 FOF formula (forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))))) of role conjecture named cTRIV2 % 0.50/0.68 Conjecture to prove = (forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))))):Prop % 0.50/0.68 Parameter fofType_DUMMY:fofType. % 0.50/0.68 We need to prove ['(forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy)))))'] % 0.50/0.68 Parameter fofType:Type. % 0.50/0.68 Trying to prove (forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))))) % 0.50/0.68 Found x0:=(x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0))))):((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))) % 0.50/0.68 Found (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))) % 0.50/0.68 Found (fun (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) as proof of ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))) % 0.50/0.68 Found (fun (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) as proof of ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy)))) % 0.50/0.68 Found (fun (Xr:(fofType->(fofType->Prop))) (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) as proof of (forall (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))))) % 0.50/0.68 Found (fun (Xr:(fofType->(fofType->Prop))) (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) as proof of (forall (Xr:(fofType->(fofType->Prop))) (Xy:fofType), ((forall (Xp:(fofType->Prop)), (Xp Xy))->((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) Xy))))) % 0.50/0.68 Got proof (fun (Xr:(fofType->(fofType->Prop))) (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) % 0.50/0.68 Time elapsed = 0.062208s % 0.50/0.68 node=4 cost=-85.000000 depth=4 % 0.50/0.68 :::::::::::::::::::::: % 0.50/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.50/0.68 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.50/0.68 (fun (Xr:(fofType->(fofType->Prop))) (Xy:fofType) (x:(forall (Xp:(fofType->Prop)), (Xp Xy)))=> (x (fun (x0:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((Xr Xx) x0)))))) % 0.50/0.68 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------