%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO256^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n020.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 0.73s % Output : Proof 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO256^5 : TPTP v7.5.0. Released v4.0.0. % 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.34 % Computer : n020.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 : Fri Mar 11 22:20:26 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 % 0.58/0.73 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.58/0.73 FOF formula (<kernel.Constant object at 0x2b3831c2b5a8>, <kernel.Type object at 0x2b3831c2b560>) of role type named a_type % 0.58/0.73 Using role type % 0.58/0.73 Declaring a:Type % 0.58/0.73 FOF formula (forall (Xr:(Prop->Prop)) (Xp:(a->Prop)) (Xq:(a->Prop)), ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))))))) of role conjecture named cTHM121 % 0.58/0.73 Conjecture to prove = (forall (Xr:(Prop->Prop)) (Xp:(a->Prop)) (Xq:(a->Prop)), ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))))))):Prop % 0.58/0.73 Parameter a_DUMMY:a. % 0.58/0.73 We need to prove ['(forall (Xr:(Prop->Prop)) (Xp:(a->Prop)) (Xq:(a->Prop)), ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))))'] % 0.58/0.73 Parameter a:Type. % 0.58/0.73 Trying to prove (forall (Xr:(Prop->Prop)) (Xp:(a->Prop)) (Xq:(a->Prop)), ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))))))) % 0.58/0.73 Found iff_refl0:=(iff_refl (Xr x)):((iff (Xr x)) (Xr x)) % 0.58/0.73 Found (iff_refl (Xr x)) as proof of ((iff (Xr x)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))) % 0.58/0.73 Found (iff_refl (Xr x)) as proof of ((iff (Xr x)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))) % 0.58/0.73 Found (iff_refl (Xr x)) as proof of ((iff (Xr x)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))) % 0.58/0.73 Found (ex_intro000 (iff_refl (Xr x))) as proof of ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) % 0.58/0.73 Found ((ex_intro00 (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))) (iff_refl (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))))) as proof of ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) % 0.58/0.73 Found (((ex_intro0 (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))) (iff_refl (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))))) as proof of ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) % 0.58/0.73 Found ((((ex_intro Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))) (iff_refl (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))))) as proof of ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) % 0.58/0.73 Found (fun (Xq:(a->Prop))=> ((((ex_intro Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))) (iff_refl (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) as proof of ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) % 0.58/0.73 Found (fun (Xp:(a->Prop)) (Xq:(a->Prop))=> ((((ex_intro Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))) (iff_refl (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) as proof of (forall (Xq:(a->Prop)), ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))))))) % 0.58/0.73 Found (fun (Xr:(Prop->Prop)) (Xp:(a->Prop)) (Xq:(a->Prop))=> ((((ex_intro Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))) (iff_refl (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) as proof of (forall (Xp:(a->Prop)) (Xq:(a->Prop)), ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))))))) % 0.58/0.73 Found (fun (Xr:(Prop->Prop)) (Xp:(a->Prop)) (Xq:(a->Prop))=> ((((ex_intro Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))) (iff_refl (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) as proof of (forall (Xr:(Prop->Prop)) (Xp:(a->Prop)) (Xq:(a->Prop)), ((ex Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))))))) % 0.58/0.73 Got proof (fun (Xr:(Prop->Prop)) (Xp:(a->Prop)) (Xq:(a->Prop))=> ((((ex_intro Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))) (iff_refl (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) % 0.58/0.73 Time elapsed = 0.104745s % 0.58/0.73 node=12 cost=153.000000 depth=10 % 0.58/0.73 :::::::::::::::::::::: % 0.58/0.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.58/0.73 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.58/0.73 (fun (Xr:(Prop->Prop)) (Xp:(a->Prop)) (Xq:(a->Prop))=> ((((ex_intro Prop) (fun (Xh:Prop)=> ((iff (Xr Xh)) (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) (forall (Xx:a), ((or (Xp Xx)) (Xq Xx)))) (iff_refl (Xr (forall (Xx:a), ((or (Xp Xx)) (Xq Xx))))))) % 0.58/0.73 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------