%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO183^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n029.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 00:50:51 EDT 2022 % Result : Theorem 0.48s 0.65s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYO183^5 : 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 : n029.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 : Fri Mar 11 17:29:30 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 % 0.48/0.65 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.48/0.65 FOF formula (<kernel.Constant object at 0x28763b0>, <kernel.Sort object at 0x2b149dc6f638>) of role type named a % 0.48/0.65 Using role type % 0.48/0.65 Declaring a:Prop % 0.48/0.65 FOF formula ((ex (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) of role conjecture named cCT2 % 0.48/0.65 Conjecture to prove = ((ex (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))):Prop % 0.48/0.65 We need to prove ['((ex (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a)))'] % 0.48/0.65 Parameter a:Prop. % 0.48/0.65 Trying to prove ((ex (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) % 0.48/0.65 Found ex_intro:(forall (A:Type) (P:(A->Prop)) (x:A), ((P x)->((ex A) P))) % 0.48/0.65 Found ex_intro as proof of (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))) % 0.48/0.65 Found (ex_intro000 ex_intro) as proof of ((ex (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) % 0.48/0.65 Found ((ex_intro00 (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro) as proof of ((ex (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) % 0.48/0.65 Found (((ex_intro0 (fun (Xp:(Prop->Prop))=> (Xp a))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro) as proof of ((ex (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) % 0.48/0.65 Found ((((ex_intro (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro) as proof of ((ex (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) % 0.48/0.65 Found ((((ex_intro (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro) as proof of ((ex (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) % 0.48/0.65 Got proof ((((ex_intro (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro) % 0.48/0.65 Time elapsed = 0.055696s % 0.48/0.65 node=21 cost=312.000000 depth=5 % 0.48/0.65 :::::::::::::::::::::: % 0.48/0.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.48/0.65 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.48/0.65 ((((ex_intro (Prop->Prop)) (fun (Xp:(Prop->Prop))=> (Xp a))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro) % 0.48/0.65 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------