%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO183^6 : TPTP v7.5.0. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n001.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 % 0.00/0.11 % Problem : SYO183^6 : TPTP v7.5.0. Released v5.1.0. % 0.00/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.32 % Computer : n001.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 : Fri Mar 11 17:34:26 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' % 0.19/0.33 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 (forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))) of role conjecture named cTHM123 % 0.48/0.65 Conjecture to prove = (forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))):Prop % 0.48/0.65 We need to prove ['(forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))))'] % 0.48/0.65 Trying to prove (forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))) % 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 (Xf:(Prop->Prop))=> (Xf Xp))) % 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 (Xf:(Prop->Prop))=> (Xf Xp))) % 0.48/0.65 Found (((ex_intro0 (fun (Xf:(Prop->Prop))=> (Xf Xp))) (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 (Xf:(Prop->Prop))=> (Xf Xp))) % 0.48/0.65 Found ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (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 (Xf:(Prop->Prop))=> (Xf Xp))) % 0.48/0.65 Found (fun (Xp:Prop)=> ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (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 (Xf:(Prop->Prop))=> (Xf Xp))) % 0.48/0.65 Found (fun (Xp:Prop)=> ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro)) as proof of (forall (Xp:Prop), ((ex (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp)))) % 0.48/0.65 Got proof (fun (Xp:Prop)=> ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (fun (x0:Prop)=> (forall (A:Type) (P:(A->Prop)) (x1:A), ((P x1)->((ex A) P))))) ex_intro)) % 0.48/0.65 Time elapsed = 0.063134s % 0.48/0.65 node=22 cost=319.000000 depth=6 % 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 (fun (Xp:Prop)=> ((((ex_intro (Prop->Prop)) (fun (Xf:(Prop->Prop))=> (Xf Xp))) (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 %------------------------------------------------------------------------------