TSTP Solution File: SYO551^1 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO551^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 0.75s 0.92s
% Output : Proof 0.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO551^1 : TPTP v7.5.0. Released v5.2.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 19:58:18 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
% 0.75/0.92 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.75/0.92 FOF formula ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) of role conjecture named claim
% 0.75/0.92 Conjecture to prove = ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))):Prop
% 0.75/0.92 Parameter fofType_DUMMY:fofType.
% 0.75/0.92 We need to prove ['((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))']
% 0.75/0.92 Parameter fofType:Type.
% 0.75/0.92 Trying to prove ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92 Found eq_ref00:=(eq_ref0 (x X)):(((eq (fofType->fofType)) (x X)) (x X))
% 0.75/0.92 Found (eq_ref0 (x X)) as proof of (((eq (fofType->fofType)) (x X)) X)
% 0.75/0.92 Found ((eq_ref (fofType->fofType)) (x X)) as proof of (((eq (fofType->fofType)) (x X)) X)
% 0.75/0.92 Found ((eq_ref (fofType->fofType)) (x X)) as proof of (((eq (fofType->fofType)) (x X)) X)
% 0.75/0.92 Found (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) (x X))) as proof of (((eq (fofType->fofType)) (x X)) X)
% 0.75/0.92 Found (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) (x X))) as proof of (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (x X)) X))
% 0.75/0.92 Found (ex_intro000 (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) (x X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92 Found ((ex_intro00 (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92 Found (((ex_intro0 (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92 Found ((((ex_intro ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92 Found ((((ex_intro ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92 Got proof ((((ex_intro ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X))))
% 0.75/0.92 Time elapsed = 0.305655s
% 0.75/0.92 node=71 cost=55.000000 depth=9
% 0.75/0.92 ::::::::::::::::::::::
% 0.75/0.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/0.93 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/0.93 ((((ex_intro ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X))))
% 0.75/0.93 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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