TSTP Solution File: SYO033^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% 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
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