%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO230^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n011.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 00:50:58 EDT 2022 % Result : Theorem 0.67s 0.84s % Output : Proof 0.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYO230^5 : TPTP v7.5.0. Released v4.0.0. % 0.03/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n011.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % DateTime : Fri Mar 11 20:09:10 EST 2022 % 0.12/0.34 % CPUTime : % 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.35 Python 2.7.5 % 0.67/0.84 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.67/0.84 FOF formula (<kernel.Constant object at 0x2ab583e6c758>, <kernel.DependentProduct object at 0xe03c68>) of role type named cB % 0.67/0.84 Using role type % 0.67/0.84 Declaring cB:(fofType->Prop) % 0.67/0.84 FOF formula (<kernel.Constant object at 0x2ab583e6cb00>, <kernel.DependentProduct object at 0xe03d40>) of role type named cA % 0.67/0.84 Using role type % 0.67/0.84 Declaring cA:(fofType->Prop) % 0.67/0.84 FOF formula ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) of role conjecture named cSV2 % 0.67/0.84 Conjecture to prove = ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))):Prop % 0.67/0.84 Parameter fofType_DUMMY:fofType. % 0.67/0.84 We need to prove ['((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))))'] % 0.67/0.84 Parameter fofType:Type. % 0.67/0.84 Parameter cB:(fofType->Prop). % 0.67/0.84 Parameter cA:(fofType->Prop). % 0.67/0.84 Trying to prove ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) % 0.67/0.84 Found eq_ref00:=(eq_ref0 x):(((eq (fofType->Prop)) x) x) % 0.67/0.84 Found (eq_ref0 x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) % 0.67/0.84 Found ((eq_ref (fofType->Prop)) x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) % 0.67/0.84 Found ((eq_ref (fofType->Prop)) x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) % 0.67/0.84 Found ((eq_ref (fofType->Prop)) x) as proof of (((eq (fofType->Prop)) x) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) % 0.67/0.84 Found (ex_intro000 ((eq_ref (fofType->Prop)) x)) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) % 0.67/0.84 Found ((ex_intro00 (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) % 0.67/0.84 Found (((ex_intro0 (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) % 0.67/0.84 Found ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) % 0.67/0.84 Found ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) % 0.67/0.84 Got proof ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) % 0.67/0.84 Time elapsed = 0.222610s % 0.67/0.84 node=50 cost=44.000000 depth=8 % 0.67/0.84 :::::::::::::::::::::: % 0.67/0.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.67/0.84 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.67/0.84 ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> (((eq (fofType->Prop)) Xu) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((eq_ref (fofType->Prop)) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) % 0.67/0.84 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------