%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO033^1 : TPTP v7.5.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n012.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 00:50:26 EDT 2022 % Result : Theorem 0.47s 0.73s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYO033^1 : TPTP v7.5.0. Released v3.7.0. % 0.12/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n012.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 04:02:20 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 % 0.47/0.73 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.47/0.73 FOF formula ((ex ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) of role conjecture named conj % 0.47/0.73 Conjecture to prove = ((ex ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))):Prop % 0.47/0.73 Parameter fofType_DUMMY:fofType. % 0.47/0.73 We need to prove ['((ex ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X))))))'] % 0.47/0.73 Parameter fofType:Type. % 0.47/0.73 Trying to prove ((ex ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) % 0.47/0.73 Found iff_refl0:=(iff_refl (x P)):((iff (x P)) (x P)) % 0.47/0.73 Found (iff_refl (x P)) as proof of ((iff (x P)) (forall (X:fofType), (P X))) % 0.47/0.73 Found (iff_refl (x P)) as proof of ((iff (x P)) (forall (X:fofType), (P X))) % 0.47/0.73 Found (fun (P:(fofType->Prop))=> (iff_refl (x P))) as proof of ((iff (x P)) (forall (X:fofType), (P X))) % 0.47/0.73 Found (fun (P:(fofType->Prop))=> (iff_refl (x P))) as proof of (forall (P:(fofType->Prop)), ((iff (x P)) (forall (X:fofType), (P X)))) % 0.47/0.73 Found (ex_intro000 (fun (P:(fofType->Prop))=> (iff_refl (x P)))) as proof of ((ex ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) % 0.47/0.73 Found ((ex_intro00 (fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X)))) (fun (P:(fofType->Prop))=> (iff_refl ((fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X))) P)))) as proof of ((ex ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) % 0.47/0.73 Found (((ex_intro0 (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) (fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X)))) (fun (P:(fofType->Prop))=> (iff_refl ((fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X))) P)))) as proof of ((ex ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) % 0.47/0.73 Found ((((ex_intro ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) (fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X)))) (fun (P:(fofType->Prop))=> (iff_refl ((fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X))) P)))) as proof of ((ex ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) % 0.47/0.73 Found ((((ex_intro ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) (fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X)))) (fun (P:(fofType->Prop))=> (iff_refl ((fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X))) P)))) as proof of ((ex ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) % 0.47/0.73 Got proof ((((ex_intro ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) (fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X)))) (fun (P:(fofType->Prop))=> (iff_refl ((fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X))) P)))) % 0.47/0.73 Time elapsed = 0.104726s % 0.47/0.73 node=20 cost=135.000000 depth=8 % 0.47/0.73 :::::::::::::::::::::: % 0.47/0.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.47/0.73 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.47/0.73 ((((ex_intro ((fofType->Prop)->Prop)) (fun (Q:((fofType->Prop)->Prop))=> (forall (P:(fofType->Prop)), ((iff (Q P)) (forall (X:fofType), (P X)))))) (fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X)))) (fun (P:(fofType->Prop))=> (iff_refl ((fun (x1:(fofType->Prop))=> (forall (X:fofType), (x1 X))) P)))) % 0.47/0.73 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------