%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO288^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n028.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 00:51:05 EDT 2022 % Result : Theorem 0.55s 0.75s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.11 % Problem : SYO288^5 : TPTP v7.5.0. Released v4.0.0. % 0.04/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n028.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 : Sat Mar 12 01:09:03 EST 2022 % 0.12/0.33 % CPUTime : % 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.34 Python 2.7.5 % 0.55/0.75 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.55/0.75 FOF formula (<kernel.Constant object at 0x1b97908>, <kernel.DependentProduct object at 0x1b97638>) of role type named cB % 0.55/0.75 Using role type % 0.55/0.75 Declaring cB:(fofType->(fofType->Prop)) % 0.55/0.75 FOF formula (<kernel.Constant object at 0x1bbed88>, <kernel.DependentProduct object at 0x1b979e0>) of role type named cA % 0.55/0.75 Using role type % 0.55/0.75 Declaring cA:(fofType->Prop) % 0.55/0.75 FOF formula (<kernel.Constant object at 0x1b97908>, <kernel.Single object at 0x1b97cf8>) of role type named c0 % 0.55/0.75 Using role type % 0.55/0.75 Declaring c0:fofType % 0.55/0.75 FOF formula ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) of role conjecture named cSV10 % 0.55/0.75 Conjecture to prove = ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))):Prop % 0.55/0.75 We need to prove ['((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx))))))'] % 0.55/0.75 Parameter fofType:Type. % 0.55/0.75 Parameter cB:(fofType->(fofType->Prop)). % 0.55/0.75 Parameter cA:(fofType->Prop). % 0.55/0.75 Parameter c0:fofType. % 0.55/0.75 Trying to prove ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) % 0.55/0.75 Found iff_refl0:=(iff_refl ((x Xx) c0)):((iff ((x Xx) c0)) ((x Xx) c0)) % 0.55/0.75 Found (iff_refl ((x Xx) c0)) as proof of ((iff ((x Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx))) % 0.55/0.75 Found (iff_refl ((x Xx) c0)) as proof of ((iff ((x Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx))) % 0.55/0.75 Found (fun (Xx:fofType)=> (iff_refl ((x Xx) c0))) as proof of ((iff ((x Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx))) % 0.55/0.75 Found (fun (Xx:fofType)=> (iff_refl ((x Xx) c0))) as proof of (forall (Xx:fofType), ((iff ((x Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))) % 0.55/0.75 Found (ex_intro000 (fun (Xx:fofType)=> (iff_refl ((x Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) % 0.55/0.75 Found ((ex_intro00 (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2))) Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) % 0.55/0.75 Found (((ex_intro0 (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2))) Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) % 0.55/0.75 Found ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2))) Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) % 0.55/0.75 Found ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2))) Xx) c0)))) as proof of ((ex (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) % 0.55/0.75 Got proof ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2))) Xx) c0)))) % 0.55/0.75 Time elapsed = 0.129871s % 0.55/0.75 node=21 cost=136.000000 depth=8 % 0.55/0.75 :::::::::::::::::::::: % 0.55/0.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.55/0.75 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.55/0.75 ((((ex_intro (fofType->(fofType->Prop))) (fun (Xv:(fofType->(fofType->Prop)))=> (forall (Xx:fofType), ((iff ((Xv Xx) c0)) ((and (cA Xx)) ((cB Xx) Xx)))))) (fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2)))) (fun (Xx:fofType)=> (iff_refl (((fun (x2:fofType) (x10:fofType)=> ((and (cA x2)) ((cB x2) x2))) Xx) c0)))) % 0.55/0.75 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 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