TSTP Solution File: SYO218^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO218^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.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 00:50:56 EDT 2022
% Result : Theorem 0.87s 1.07s
% Output : Proof 0.87s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO218^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 : Fri Mar 11 19:37:27 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
% 0.87/1.07 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.87/1.07 FOF formula (forall (Xx:fofType) (Xy:fofType), ((forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz))))))->(((eq fofType) Xx) Xy))) of role conjecture named cTHM7B_pme
% 0.87/1.07 Conjecture to prove = (forall (Xx:fofType) (Xy:fofType), ((forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz))))))->(((eq fofType) Xx) Xy))):Prop
% 0.87/1.07 Parameter fofType_DUMMY:fofType.
% 0.87/1.07 We need to prove ['(forall (Xx:fofType) (Xy:fofType), ((forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz))))))->(((eq fofType) Xx) Xy)))']
% 0.87/1.07 Parameter fofType:Type.
% 0.87/1.07 Trying to prove (forall (Xx:fofType) (Xy:fofType), ((forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz))))))->(((eq fofType) Xx) Xy)))
% 0.87/1.07 Found eq_ref00:=(eq_ref0 Xx):(((eq fofType) Xx) Xx)
% 0.87/1.07 Found (eq_ref0 Xx) as proof of (((eq fofType) Xx) Xx)
% 0.87/1.07 Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) Xx)
% 0.87/1.07 Found ((eq_ref fofType) Xx) as proof of (((eq fofType) Xx) Xx)
% 0.87/1.07 Found (x0 ((eq_ref fofType) Xx)) as proof of (((eq fofType) Xy) Xx)
% 0.87/1.07 Found ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx)) as proof of (((eq fofType) Xy) Xx)
% 0.87/1.07 Found ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx)) as proof of (((eq fofType) Xy) Xx)
% 0.87/1.07 Found (eq_sym000 ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx))) as proof of (((eq fofType) Xx) Xy)
% 0.87/1.07 Found ((eq_sym00 Xx) ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx))) as proof of (((eq fofType) Xx) Xy)
% 0.87/1.07 Found (((eq_sym0 Xy) Xx) ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx))) as proof of (((eq fofType) Xx) Xy)
% 0.87/1.07 Found ((((eq_sym fofType) Xy) Xx) ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx))) as proof of (((eq fofType) Xx) Xy)
% 0.87/1.07 Found (fun (x:(forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz)))))))=> ((((eq_sym fofType) Xy) Xx) ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx)))) as proof of (((eq fofType) Xx) Xy)
% 0.87/1.07 Found (fun (Xy:fofType) (x:(forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz)))))))=> ((((eq_sym fofType) Xy) Xx) ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx)))) as proof of ((forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz))))))->(((eq fofType) Xx) Xy))
% 0.87/1.07 Found (fun (Xx:fofType) (Xy:fofType) (x:(forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz)))))))=> ((((eq_sym fofType) Xy) Xx) ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx)))) as proof of (forall (Xy:fofType), ((forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz))))))->(((eq fofType) Xx) Xy)))
% 0.87/1.07 Found (fun (Xx:fofType) (Xy:fofType) (x:(forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz)))))))=> ((((eq_sym fofType) Xy) Xx) ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx)))) as proof of (forall (Xx:fofType) (Xy:fofType), ((forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz))))))->(((eq fofType) Xx) Xy)))
% 0.87/1.07 Got proof (fun (Xx:fofType) (Xy:fofType) (x:(forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz)))))))=> ((((eq_sym fofType) Xy) Xx) ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx))))
% 0.87/1.07 Time elapsed = 0.475372s
% 0.87/1.07 node=130 cost=37.000000 depth=13
% 0.87/1.07 ::::::::::::::::::::::
% 0.87/1.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.07 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.07 (fun (Xx:fofType) (Xy:fofType) (x:(forall (Xq:((fofType->Prop)->fofType)), ((((eq fofType) Xx) (Xq (fun (Xz:fofType)=> (((eq fofType) Xx) Xz))))->(((eq fofType) Xy) (Xq (fun (Xz:fofType)=> (((eq fofType) Xy) Xz)))))))=> ((((eq_sym fofType) Xy) Xx) ((x (fun (x3:(fofType->Prop))=> Xx)) ((eq_ref fofType) Xx))))
% 0.87/1.07 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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