%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO027^1 : TPTP v7.5.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n017.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 00:50:25 EDT 2022 % Result : Theorem 0.41s 0.60s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.10 % Problem : SYO027^1 : TPTP v7.5.0. Released v3.7.0. % 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.11/0.32 % Computer : n017.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % RAMPerCPU : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % DateTime : Fri Mar 11 02:27:07 EST 2022 % 0.11/0.32 % CPUTime : % 0.11/0.32 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.11/0.33 Python 2.7.5 % 0.41/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.41/0.60 FOF formula ((ex Prop) (fun (P:Prop)=> P)) of role conjecture named conj % 0.41/0.60 Conjecture to prove = ((ex Prop) (fun (P:Prop)=> P)):Prop % 0.41/0.60 We need to prove ['((ex Prop) (fun (P:Prop)=> P))'] % 0.41/0.60 Trying to prove ((ex Prop) (fun (P:Prop)=> P)) % 0.41/0.60 Found ex_ind:(forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P))) % 0.41/0.60 Found ex_ind as proof of (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P))) % 0.41/0.60 Found (ex_intro000 ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P)) % 0.41/0.60 Found ((ex_intro00 (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P)) % 0.41/0.60 Found (((ex_intro0 (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P)) % 0.41/0.60 Found ((((ex_intro Prop) (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P)) % 0.41/0.60 Found ((((ex_intro Prop) (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P)) % 0.41/0.60 Got proof ((((ex_intro Prop) (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) % 0.41/0.60 Time elapsed = 0.039137s % 0.41/0.60 node=24 cost=313.000000 depth=5 % 0.41/0.60 :::::::::::::::::::::: % 0.41/0.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.41/0.60 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.41/0.60 ((((ex_intro Prop) (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) % 0.41/0.60 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------