%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO304^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n012.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 00:51:07 EDT 2022 % Result : Theorem 0.46s 0.72s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SYO304^5 : TPTP v7.5.0. Released v4.0.0. % 0.10/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n012.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 02:16:50 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 % 0.46/0.72 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.46/0.72 FOF formula (<kernel.Constant object at 0x1ceb710>, <kernel.Type object at 0x1ceb170>) of role type named a_type % 0.46/0.72 Using role type % 0.46/0.72 Declaring a:Type % 0.46/0.72 FOF formula (forall (Xq:((a->(a->Prop))->Prop)), ((Xq (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y)))))->(Xq (fun (X:a) (Y:a)=> (((eq a) X) Y))))) of role conjecture named cE2_eq__pme % 0.46/0.72 Conjecture to prove = (forall (Xq:((a->(a->Prop))->Prop)), ((Xq (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y)))))->(Xq (fun (X:a) (Y:a)=> (((eq a) X) Y))))):Prop % 0.46/0.72 Parameter a_DUMMY:a. % 0.46/0.72 We need to prove ['(forall (Xq:((a->(a->Prop))->Prop)), ((Xq (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y)))))->(Xq (fun (X:a) (Y:a)=> (((eq a) X) Y)))))'] % 0.46/0.72 Parameter a:Type. % 0.46/0.72 Trying to prove (forall (Xq:((a->(a->Prop))->Prop)), ((Xq (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y)))))->(Xq (fun (X:a) (Y:a)=> (((eq a) X) Y))))) % 0.46/0.72 Found eta_expansion000:=(eta_expansion00 (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y))))):(((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y))))) (fun (x:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 x)->(Xq0 Y))))) % 0.46/0.72 Found (eta_expansion00 (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y))))) as proof of (forall (Xq:((a->(a->Prop))->Prop)), ((Xq (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y)))))->(Xq (fun (X:a) (Y:a)=> (((eq a) X) Y))))) % 0.46/0.72 Found ((eta_expansion0 (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y))))) as proof of (forall (Xq:((a->(a->Prop))->Prop)), ((Xq (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y)))))->(Xq (fun (X:a) (Y:a)=> (((eq a) X) Y))))) % 0.46/0.72 Found (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y))))) as proof of (forall (Xq:((a->(a->Prop))->Prop)), ((Xq (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y)))))->(Xq (fun (X:a) (Y:a)=> (((eq a) X) Y))))) % 0.46/0.72 Found (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y))))) as proof of (forall (Xq:((a->(a->Prop))->Prop)), ((Xq (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y)))))->(Xq (fun (X:a) (Y:a)=> (((eq a) X) Y))))) % 0.46/0.72 Got proof (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y))))) % 0.46/0.72 Time elapsed = 0.085252s % 0.46/0.72 node=12 cost=-281.000000 depth=3 % 0.46/0.72 :::::::::::::::::::::: % 0.46/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.46/0.72 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.46/0.72 (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq0:(a->Prop)), ((Xq0 X)->(Xq0 Y))))) % 0.46/0.72 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------