TSTP Solution File: SYO553^1 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO553^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 00:52:05 EDT 2022
% Result : Theorem 0.81s 0.96s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO553^1 : TPTP v7.5.0. Released v5.2.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n005.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 : Sun Mar 13 20:06:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.81/0.96 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.81/0.96 FOF formula ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) of role conjecture named claim
% 0.81/0.96 Conjecture to prove = ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))):Prop
% 0.81/0.96 Parameter fofType_DUMMY:fofType.
% 0.81/0.96 We need to prove ['((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y))))']
% 0.81/0.96 Parameter fofType:Type.
% 0.81/0.96 Trying to prove ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y))))
% 0.81/0.96 Found eq_ref00:=(eq_ref0 ((x X) Y)):(((eq fofType) ((x X) Y)) ((x X) Y))
% 0.81/0.96 Found (eq_ref0 ((x X) Y)) as proof of (((eq fofType) ((x X) Y)) Y)
% 0.81/0.96 Found ((eq_ref fofType) ((x X) Y)) as proof of (((eq fofType) ((x X) Y)) Y)
% 0.81/0.96 Found ((eq_ref fofType) ((x X) Y)) as proof of (((eq fofType) ((x X) Y)) Y)
% 0.81/0.96 Found (fun (Y:fofType)=> ((eq_ref fofType) ((x X) Y))) as proof of (((eq fofType) ((x X) Y)) Y)
% 0.81/0.96 Found (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) ((x X) Y))) as proof of (forall (Y:fofType), (((eq fofType) ((x X) Y)) Y))
% 0.81/0.96 Found (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) ((x X) Y))) as proof of (forall (X:fofType) (Y:fofType), (((eq fofType) ((x X) Y)) Y))
% 0.81/0.96 Found (ex_intro000 (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) ((x X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y))))
% 0.81/0.96 Found ((ex_intro00 (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y))))
% 0.81/0.96 Found (((ex_intro0 (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y))))
% 0.81/0.96 Found ((((ex_intro (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y))))
% 0.81/0.96 Found ((((ex_intro (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y))))
% 0.81/0.96 Got proof ((((ex_intro (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y))))
% 0.81/0.96 Time elapsed = 0.314471s
% 0.81/0.96 node=74 cost=64.000000 depth=10
% 0.81/0.96 ::::::::::::::::::::::
% 0.81/0.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/0.96 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/0.96 ((((ex_intro (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y))))
% 0.81/0.97 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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